Answer: If you want mx + b= y form and you want the y intercept, then the answer would be 2x/7 - 12/7 = y. The y intercept is b, so it is 12/7.
Step-by-step explanation: 2x - 7y = 12
Move -7y to the other side: 2x= 12 + 7y
Subtract 12 to the left side: 2x - 12 = 7y
Then divide 7 into everything: 2x/7 - 12/7 = 7y/7
The 7s in the right side cancel out, so the equation is now: 2x/7 - 12/7 = y
The y intercept is b, which is the second term in the equation, so the
Y Equals : 12/7
I hope this is what you are looking for!
Answer:
y = − 12 /7 + 2 x /7
Step-by-step explanation:
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river.
Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
Step-by-step explanation:
The standard deviation of the sampling distribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where p= population proportion and n = sample size.
Let p be the proportion of fish in a river are catfish.
As per given , we have
p= 0.47
n= 25
The, the standard deviation of the sampling distribution will be [tex]\sqrt{\dfrac{0.47(1-0.47)}{25}}[/tex]
[tex]=\sqrt{0.009964}\approx0.0998[/tex]
The 10% condition : Sample sizes should be no more than 10% of the population.
But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]
i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.
So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 catfish in the river.
Step-by-step explanation:
I got it right on the quiz
What is the equation of the parabola? Vertex is at (0, 5) and points at (8, 13) and (-8, 13)
y = −x2 + 5
y = x2 + 5
y = x2 − 5
y = −x2 − 5
Answer:
none of the above
Step-by-step explanation:
The attached graph shows the closest candidate—the equation with vertex (0, 5) that opens upward. However, it needs vertical scaling to make it go through the given points.
y = (1/8)x^2 +5
Use the formula for finding the surface area of a rectangular prism.
A=PH+2B
Solve for B
I will mark brainliest for the first to answer RIGHT
Thanks
The formula, when solved for B is, [tex]\frac{1}{2}(A-PH)[/tex].
Step-by-step explanation:
Given,
Formula used to find surface area of a rectangular prism
A = PH + 2B
Solving the formula for B;
Subtracting PH from both sides
[tex]A-PH=PH-PH+2B\\A-PH=2B\\2B=A-PH[/tex]
Dividing both sides by 2
[tex]\frac{2B}{2}=\frac{A-PH}{2}\\\\B=\frac{1}{2}(A-PH)[/tex]
The formula, when solved for B is, [tex]\frac{1}{2}(A-PH)[/tex].
Keywords: subtraction, division
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Final answer:
To solve for B in the formula A=PH+2B, subtract PH from A and then divide by 2, resulting in B = (A - PH) / 2.
Explanation:
The student is asking to solve for B from the surface area formula of a rectangular prism, given by A=PH+2B, where A is the surface area, P is the perimeter of the base, H is the height of the prism, and B is the area of the base.
To solve for B, we'll rearrange the formula as follows:
First, we subtract the term PH from both sides of the equation, which gives us A - PH = 2B.
Then, we divide both sides by 2 to isolate B, resulting in B = (A - PH) / 2.
This process reveals that the base area B can be found by taking the total surface area A, subtracting the product of the perimeter of the base and the height, and then dividing by 2.
Factor completely x3 + 7x2 − 2x − 14.
(x − 7)(x2 − 2)
(x + 7)(x2 + 2)
(x + 7)(x2 − 2)
(x − 7)(x2 + 2)
The factor of the provided polynomial after the factorization process are similar to option C, (x+7)(x²-2)
How to find the factor of polynomial?The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
x³+7x²-2x -14
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,
x²(x+7)-2x-14
Take out the highest common factor -2 from the second two terms as,
x²(x+7)-2(x+7)
Now take out the common group (x+7) as,
(x+7)(x²-2)
Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is
(x+7) (x²-2)
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Find the area of the hexagon.
A) 36 in2
B) 52 in2
C) 78 in2
D) 144 in2
Answer: C) 78 in2
Step-by-step explanation:
The polygon is divided into two trapezoids with equal measurements.
Area of a trapezoid:
1
2
(b1 + b2)h
Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.
(b1 + b2)h
(10 + 16)3
26(3)
78 in2
Answer:
Answer: C) 78 in2
Step-by-step explanation:
what is the sum of the distances of R to Q and P to Q?
The sum of the distances of R to Q and P to Q is 9 units.
Solution:
Given points are P(–3, 6), Q(3, 6) and R(3, 3).
Distance between two points formula:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance from R to Q:
Here [tex]x_1=3, y_1=3, x_2=3, y_2=6[/tex]
Substitute these in the given formula, we get
Distance = [tex]\sqrt{(3-3)^2+(6-3)^2}[/tex]
[tex]=\sqrt{0+9}[/tex]
= 3 units
Distance from R to Q is 3 units.
Distance from P to Q:
Here [tex]x_1=-3, y_1=6, x_2=3, y_2=6[/tex]
Substitute these in the given formula, we get
Distance = [tex]\sqrt{(3-(-3))^2+(6-6)^2}[/tex]
[tex]=\sqrt{36+0}[/tex]
= 6 units
Distance from P to Q is 6 units.
Sum of the distances = 3 + 6 = 9 units
Hence the sum of the distances of R to Q and P to Q is 9 units.
NEED HELP ASAP
Simplify each expression. The simplified expression should have no exponents. (I will give you the highest amount of points)
Sorry there is a few questions. I missed a day at school and need to catch up
9)
- 12xy/7x⁴ × 21x⁵y²/4y = - 9x²y²
10)
- 3x⁵/x¹³ × 2x¹⁰y/15y² = -2x²/5y
11)
4xy¹¹/x⁷y⁶ × 6x⁸y/8x³ = 3y⁶/x
12)
y¹⁰/2x³ × 20x¹⁴/xy⁶ = 10x¹⁰y⁴
13)
5x⁻²/3x × 2y³/x¹⁰ = 10y³/3x¹³
14)
(5xy/8x⁻¹y²)² × 26y³/5x²y⁵ =
= 25x⁴/64y² × 26/5x²y²
= 65x²/32y⁴
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Mark
Answer:
[tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]
Step-by-step explanation:
We want to simplify:
[tex] {r}^{ - 7} + {s}^{ - 12} [/tex]
Let us rewrite as positive index to get:
[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]
We now find LCM to get:
[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]
Therefore the simplified form of the given expresion is:
[tex] \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]
But from the provide option, they only want us to rewrite as positive index without simplifying further
Simplify eighth root of y squared
Answer:
The simplified expression is y raised to the 2/8 power
Step-by-step explanation:
Let's recall that one of the properties of fractional exponents is:
x ^ a/b = ᵇ√x ᵃ
therefore,
⁸√y² = y ^2/8
The simplified expression is y raised to the 2/8 power
Given that the Probability of a chance event is a number between zero and one that expresses the likelihood of the event occurring, choose all that are correct.
•0 indicates a certain event
•0.25 indicates an unlikely event
•0.75 indicates a likely event
•1 indicates an impossible event
•0.5 indicates equally likely to occur or not occur.
Please help if you can, thank you! ✨
Answer:
The correct statements are:
• Second statement: 0.25 indicates an unlikely event
• Third statement: 0.75 indicates a likely event
• Last statement: 0.5 indicates equally likely to occur or not occur.
Explanation:
Since the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, you can translate it into:
A zero probability (0) means that the event is impossible, it will never happen. For example, the probability that when you roll a 6-sided die (with numbers 1 to 6) you get an irrational number is 0, meaning that it will never occur.A one probability (1) means that the event will occur with certainty. For instance, the changes to roll an even or odd number when you roll a 6-sided die is 100%You migth split the likelihood in some notorius outcomes:
0: impossible (the event will never happen)Close to zero (about 0 - 0.3): unlikely (the chances are small)0.5: even (equal chances of happening and not happening)Close to 1 (about 0.7 - 1): likely (the changes are large)1: certain (it is 100% sure that the event will happen)That means that:
first statement, 0 indicates a certain event, is incorrect.0.25 indicates an unlikely event (second statement is correct)0.75 indicates a likely event (third statement is correct)third statement is incorrect (1 does not indicate an impossible event, but a certain event)0.5 indicates equally likely to occur or not occur (fith statement is correct).The correct statements are:
0.25 indicates an unlikely event0.75 indicates a likely event0.5 indicates equally likely to occur or not occur.What are the correct statements?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
If probability is 0.5, there are equal chances that the event might occur or would not occur. If probability is less than 0,5, it is unlikely the even t would occur and if it is greater than 0.5, it is likely the event would occur.
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can someone please help? if can include working out
Answer:
Step-by-step explanation:
a. 5 x (c) = -35
Divide each side by 5, which is equal to -6. Remember, two negatives make a positive and one negative and one positive makes a negative.
c. 16/(x) = -4
What times what is equal to a positive 16? To solve, multiply x on both sides of the equation to get 16 = -4x then divide -4 on both sides. You'll get the answer -4. 16/-4 = -4.
e. x/(-3)= -9
Like c, multiply both sides by the denominator, so -3. You'll get x by itself for an equation like x = -9 x -3. Then multiply, remember two negatives equal a positive, so x = 27. 27/-3 = -9.
g. -5000 x y = -10,000
Divide -5000 on both sides to get the equation y = -10,000/-5000. Then solve. y= 2. -5000 x 2 = -10,000.
i. 243/x = -81
Mutiply both sides of the equation by x, so x cancels out. You'll end up getting the equation 243= -81x. Then divide both sides of the equation by -81. Now that we have 1 positive and 1 negative we know our answer has to be negative. The equation should look like 243/-81 = x, which is equal to x=-3. Thus, the answer is 243/(-3)= -81.
k. -92 x y= 184
Divide both sides by -92 to get x by itself. Then you'll get the equation y= 184/-92. y= -2 so, -92 x -2 = 184.
7x+4x if ×=2 answer
Answer:22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
7x + 4x
7(2) + 4(2)
14 + 8
Answer= 22
Hope this helped!! :)
How do you solve 12x -2/3 = 83 1/3
Answer:
4
Step-by-step explanation:
<=> 12x = 83 1/3 + 2/3
<=> 12x = 84
<=> x = 84/12
<=> x = 4
Use an equation to find the value of k
so that the line that passes through the given points has the given slope.
(−2,k), (2,0); m=−1
k=
[tex]\boxed{k=4}[/tex]
Explanation:We know that the slope of a line is given by:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}[/tex]
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You are trying out for the school play. The probability that you are chosen to
be in the play is 0.5. The probability that you get a lead role is 0.2. What is the
probability that you get a lead role, given that you are chosen to be in the
play?
O A. 0.5
Oo oo
O B. 0.4
O c. o7
O D.0.3
Answer:
0.5 gjhnvbbbvsadasbkkkhhcccf ggghj g
The probability that we will get a lead role, given that we are chosen to be in the play is 0.5.
What is probability?Probability is the ratio that shows the likelihood of an event occurring from a given set of possible events.
We can find the required probability below:
The probability that we will be chosen for the play is 0.5.
The probability that we will get the lead role is 0.2.
In this situation, the probability can be found by adding the probability of being chosen and the probability that we will get the lead role.
The probability that we get a lead role, = The probability that we will be chosen for the play + The probability that we will get the lead role
= 0.5 + 0.2
= 0.7
The probability of us getting a lead role given that we have already been chosen for the play is found to be 0.7. The correct answer is option D.
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2) Solve the System of Equations using Substitution. (5 points) -3x+2y=12 x=2y-8
Answer:
x= -2 and y= 3
Step-by-step explanation:
since x = 2y -8, substitute this in the first equation
Thus, -3(2y-8) + 2y =12
-6y+24+2y=12
-6y+2y=12-24
-4y=-12
y=3
put the value of y in the second equation,
x=2y-8
x=2(3)-8
x=6-8
x=-2
So, x=-2. y=3
Answer:
(x, y) = (-2, 3)
Step-by-step explanation:
You want the solution to the system of equations ...
-3x +2y = 12x = 2y -8SubstitutionUsing the second equation, we can add 8 to get an expression for 2y:
x +8 = 2y
Substituting this into the first equation gives ...
-3x +(x +8) = 12
-2x = 4 . . . . . . . . . simplify, subtract 8
x = -2 . . . . . . . . divide by -2
-2 +8 = 2y . . . . substitute for x in the rearranged equation 2
y = 6/2 = 3 . . . . . . simplify, divide by 2
The solution is (x, y) = (-2, 3).
The reading on a car speedometer has 1.6% maximum error the speed limit on the road is 65 miles per hour
A) the speedometer reads 64 miles per hour is it possible that the cat is going over the speed limit
B) the speedometer reads 64 miles per hour is the car definitely going over the speed limit
Answer:
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
Step-by-step explanation:
Data provided in the question:
Maximum error on a car speedometer = 1.6% = 0.016
Maximum Speed limit on the road = 65 miles per hour
Now,
The error will be ± 1.6%
Now,
When the speedometer reads 64 miles per hour
The possible speed of the car can be
64 miles per hour + Error
= 64 + [0.016 × 64]
= 64 + 1.024
= 65.024 miles per hour
or
The speed can be
64 miles per hour - Error
= 64 - [0.016 × 64]
= 64 - 1.024
= 62.976 miles per hour
Hence,
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
Simplify the expression 3^-8 × 3^4.
Answer:
Step-by-step explanation:
3^-8 × 3^4
Following the indices rule
a^y × a^z = a^(y+z)
:- = 3^(-8+4)
= 3^-4
= 1/3⁴
= 1/81
What is 0.9 divided 30
Answer:0.03
Step-by-step explanation:I typed in a calculator.
claudia is 6 years older than bill. the sum of their ages is 120. How old is Claudia
Answer:
The answer is 66
Step-by-step explanation:
plz give brainliest
Answer:
Claudia is 63 years old
Step-by-step explanation:
Find two numbers that subtract to get 6, but add to get 120.
I used 57 and 63. If Claudia is 6 years older than Bill, then she would have to be 63.
57 + 63 = 120
63 - 57 = 6
The table shows the yearly earnings, in thousands of dollars, over a 10-year period for college graduates. Which statement is true about the distributions representing the yearly earnings?
a) The mean earnings of the self-employed are higher than the mean earnings of the wage earners.
b) The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.
c) The IQRs of the distributions are equal.
d) The standard deviations of the distributions are equal.
nvm its b :)
Answer:
Its B i just got it right
Step-by-step explanation:
The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.
What is IQR?IQR stands for Interquartile Range, which is a measure of variability or spread in a set of data. It is calculated by finding the difference between the first quartile (Q1) and the third quartile (Q3) of a data set.
Without the table, it is difficult to provide a definitive answer. However, based on the information given, we can make some general observations:
a) It is possible that the mean earnings of the self-employed are higher than the mean earnings of the wage earners, but this cannot be determined from the information given.
b) It is also impossible to determine which distribution is more symmetric without further information.
c) The statement about the IQRs is also impossible to verify without more information.
d) It is unlikely that the standard deviations of the distributions are equal, as the earnings of self-employed individuals are typically more variable than those of wage earners. However, this also cannot be determined without more information.
Thus, the correct statement can be The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.
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Which facts could be applied to simplify this expression? Select three options.
(Negative 5 x minus 3 y) minus (negative x minus 3 z)
To subtract like terms, subtract the coefficients, not the variables.
Like terms are terms that contain the same variable, raised to the same power.
The simplified expression is Negative 6 x minus 3 y + 3 z.
The simplified expression is Negative 4 x minus 3 y + 3 z.
Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x.
Answer:
A, B, and D
Step-by-step explanation:
To subtract like terms, you're supposed to subtract the coefficients, so Option 1 is correct. The statement like terms are terms that contain the same variable, raised to the same power, is true, so Option 2 is correct. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and Option 4 is correct. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).
Hope this helps! I got it right on Edgen.
Answer:
a b d
Step-by-step explanation:
clint has 6 apple muffins, 2 corn muffins, and 4 bran muffins what fraction of muffins are bran weite the fraction in simplest form
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The fraction of bran muffins is expressed as bran muffins over total muffins.
Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus
fraction = [tex]\frac{4}{12}[/tex] ← divide ( cancel ) each value by 4 )
fraction = [tex]\frac{1}{3}[/tex] ← in simplest form
Answer:
1/3
Step-by-step explanation:
4 bran muffins out of 12 muffins in total.
4/12
4 ÷ 4 / 12 ÷ 4
1 / 3
Lindsay is 555 years younger than Mark. Seven years ago, the sum of their ages was 313131.
Let l be Lindsay's age and let mmm be Mark's age.
Which system of equations represents this situation?
Choose 1 answer:
Answer:
System:
Equation 1: L = M - 5Equation 2: L + M = 45Explanation:
Rewrite the question to delete the typos:
Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31. Let l be Lindsay's age and let mmm be Mark's age.Which system of equations represents this situation?1. Name your variables:
Lindsay's age: LMark's age: M2. Translate each verbal statement into an algebraic expression:
a) Lindsay is 5 years younger than Mark
L = M - 5 ← first equationb) Seven years ago, the sum of their ages was 31
L - 7 + M - 7 = 31 Simplify:L + M - 14 = 31
L + M = 31 + 14
L + M = 45 ← second equation
3. Write the two equations:
System:
Equation 1: L = M - 5Equation 2: L + M = 45
The system of equations representing Lindsay being 5 years younger than Mark, and the sum of their ages seven years ago being 31, are: I = m - 5 and I + m = 45.
To represent this situation, we can set up the following system of equations:
I = m - 5 (Lindsay is 5 years younger than Mark)(I - 7) + (m - 7) = 31 (Seven years ago, the sum of their ages was 31)Let's simplify the second equation:
I - 7 + m - 7 = 31, simplifies to:
I + m - 14 = 31, then:
I + m = 45
So, the system of equations representing this situation is:
I = m - 5I + m = 45in equilateral ABC what does y equal
Answer:
y = 75°, and I'm pretty sure this sheet is incorrect
Step-by-step explanation:
The interior angles of a triangle always add up to 180, and in an equilateral triangle, all 3 angles are congruent. (180/3 = 60)
[tex]m\angle A= 60\textdegree= 6x[/tex]
Therefore, [tex]x=10\textdegree[/tex]
[tex]\triangle DAE[/tex] is an isosceles triangle, as [tex]\angle B[/tex] [tex]\cong[/tex] [tex]\angle C[/tex], the sides opposite to them are also congruent; [tex]\overline{\rm AE}\cong\overline{\rm AD}[/tex] and in turn, [tex]m\angle ADE \cong m\angle AED: m\angle ADE = m\angle AED = y[/tex]
If [tex]m\angle DAE = 3x = 30\textdegree[/tex], then [tex]y = (180-30)/2 =150 /2 = 75\textdegree[/tex]
I’m so confused geometry
x=50 and y=10
because of vertical angles: 3y=x-20
and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x
we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees
then we can plug that into the first equation and get 3y=30, and y=10 degrees
Answer:
x = 50°
y = 10°
Step-by-step explanation:
The vertical angles theorem states that angles across from each other must be equal.
This means that:
3y = x - 20° or x = 3y + 20°
5x - 100° = y + 140°
Start with the second equation
5x - 100° = y + 140°
Add 100° to both sides of the equation
5x = y + 240°
Now, substitute the value of x found at the beginning into this equation
5(3y + 20°) = y + 240°
Multiply
15y + 100° = y + 240°
Subtract 100° from both sides of the equation
15y = y + 140°
Subtract y from both sides of the equation
14y = 140°
y = 10°
x = 3y + 20 = 3(10) + 20 = 30 + 20 = 50°
Hope this helps :)
Perform all the steps to evaluate this expression.
What is the value of the expression?
1/8
1/2
2
8
Answer:
the answer is 8
Answer:
the answer is 8 because i just did it on E.B
Tobias is making scones. The recipe calls for 2/3 cup of flour to make 6 scones. What is the unit rate for cups of flour per scone? For scones per cup of flour? Use pencil and paper. Show or describe at least two ways to find the unit rate for scones per cup of flour.
Answer:
A. 1/9 cup of flour per scone.
B. 9 scones per cup of flour.
Step-by-step explanation:
We're given that Tobias uses 2/3 cup of flour makes 6 scones.
A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,
U. R. = (cup of flour)/(number of scones)
U. R. = (2/3)/6= 2/(3 *6)
U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.
B. (i) Method 1
Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,
U. R. = (number of scones)/(cup of flour)
U. R. = 6/(2/3) = (6 * 3)/2
U. R. = (6 * 3)/2 = 18/2
U. R. = 9 scones per cup of flour.
(ii) Method 2
Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:
2/3 cup of flour = 6 scones
1 cup of flour = x scones
By cross multiplying and solving:
x = (6 * 1) / (2/3)
x = (6 * 3) / 2
x = 18/2 = 9 scones per cup of flour.
what equation is equivalent to y=2x+3 ?
Answer:
x+x +1+2= y
Step-by-step explanation:
4. Calculate the distance Kris walks in 8 days
if she walks 7/8mile each day.
Answer:
I have two ideas on how to solve the question for anyone that befit you you choose I hope it helps
but I prefer the second one.
Kris walks a total of 7 miles over the course of 8 days by multiplying the daily walking distance of 7/8 mile by 8 days.
To calculate the total distance Kris walks in 8 days, where she walks 7/8 mile each day, we need to perform a multiplication of the daily distance by the number of days.
The calculation will be:
7/8 mile/day * 8 days = 7 miles.This is because each 7/8 gets multiplied by 8, effectively cancelling out the denominator of 8, resulting in 7 whole miles.
Therefore, Kris walks a total of 7 miles over the course of 8 days.