Answer:
2-x=1
2-1=1
Step-by-step explanation:
1 + 1 - 1 x 1 / 1.
Uses all 4 basic symbols.
HELP Write a proportion that could be used to solve for each variable. Then solve. 16 walls in 40 hours 3 walls in h hours a. 16/40 = h/3; h = 1.2 c. 16/h = 3/40; h = 213.3 b. 16/40 = 3/h; h = 7.5 d. 16/40 = 3/h; h = 8.5
The proportion that could be used to solve for the variable is:
[tex]\frac{16}{40} = \frac{3}{h}[/tex]
h = 7.5
Solution:
Given that,
16 walls in 40 hours 3 walls in h hours
Which means,
16 walls build in 40 hours
Then 3 walls in h hours
We have to write a proportion
The number of walls and the number of hours are proportion
Therefore, we get,
[tex]\frac{16}{40} = \frac{3}{h}[/tex]
Cross multiply and solve for h
[tex]16 \times h = 3 \times 40\\\\16h = 120\\\\h = \frac{120}{16}\\\\h = 7.5[/tex]
Thus the proportion is solved
an otterbox was on sale 20% off. if the sale price was $47.99, what was the original price?
Answer:$38.39
Step-by-step explanation:
Original price: $
47.99
Discount percentage:
20
%
Results
Discount:
$9.60
Final Price:
$38.39
Answer:
$59.99
Step-by-step explanation:
"20% off" translates into "80% of original price."
Thus, 0.80p = $47.99, where p is the original price.
Dividing both sides by 0.80 yields:
p = $59.99
How many times does seven go into 52
49 remainder of 3
Step-by-step explanation:
52 divided by 7 is 49 R 3
Answer:
7.42857142857
Step-by-step explanation:
divide 7 into 52 and you will get 7.42857142857
Find the length of the missing side of the triangle below
PLEASE HELPP!!
To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.
Pythagorean Theorem: a² + b² = c²
[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]
Plug in what you know:
b = 8
c = 14
a² + b² = c²
a² + (8)² = (14)²
a² + 64 = 196 Subtract 64 on both sides
a² = 132 Square root both sides to get "a" by itself
[tex]\sqrt{a^2} =\sqrt{132}[/tex]
a = [tex]\sqrt{132}[/tex] inches
If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132
132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The only number that can be square rooted is 4, so you can do:
[tex]a=\sqrt{4*33}[/tex]
[tex]a=\sqrt{4} *\sqrt{33}[/tex]
[tex]a=2\sqrt{33}[/tex]
Find the value of f(-8) if:f(x)=12x-29
Answer:
f=41, 41×(-8)=-328(not so sure so you might want so check with other people again)
Step-by-step explanation:
f(x)=12x-29
Step 1, u bring the x terms over to one side, in this case on the left side. So it becomes:
f(x)-12x=29
Next step is to find the common factor of the x terms
f(x)-12(x)=29
f-12=29
bring the numbers to the right side
f=29+12
so f=41
What type of association does the graph show between X and Y? A. Linear positive association B.NoNlinear Positive association C.Linear negative association D.Nonlinear negative association?
Answer: A. Linear positive association
Step-by-step explanation:
As the x values increase, so do the y values. this makes the association to be positive because they are both increasing. Additionally if you were to connect all the data points together you would get a straight line, which makes it linear.
What is 3.68328446 rounded to the nearest hundredths
Answer:
3.68
Step-by-step explanation:
one night a theater sold 548 movie tickets. an adult’s costs $6.50 an child’s cost $3.50. in all, $2,881 was takin in. how many of each kind of tickets were sold?
Answer:
321 adult tickets227 child ticketsStep-by-step explanation:
This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...
6.50x +3.50(548-x) = 2881
3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms
3x = 963 . . . . . . . . . . . . . . . . . . subtract 1918
x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3
548-x = 548 -321 = 227 . . . . . .number of child tickets
321 adult tickets and 227 child tickets were sold.
By setting up and solving a system of equations, it was determined that the theater sold 320 adult tickets and 228 child tickets.
Let's denote the number of adult tickets as A and the number of child tickets as C.
The first piece of information given is:
Total tickets sold: A + C = 548
The second piece of information is related to the total revenue:
Total revenue from tickets: 6.50A + 3.50C = 2881
To find the values of A and C, we can use the substitution or elimination method to solve this system of equations. Here, we'll use the elimination method:
Multiply the first equation by 3.50 to align the coefficients of C with the second equation:
Subtract this new equation from the second equation to eliminate C:
Substitute A = 320 into the first equation to solve for C:
Therefore, the theater sold 320 adult tickets and 228 child tickets.
PLEASE HELP!
Suppose the radius of a circle is 8 What is its circumference?
Answer:
The circumference of the given circle is 50.24
Step-by-step explanation:
C = 2piR
C = 2pi8
C = 16(3.14)
C = 50.24
Answer:
50
Step-by-step explanation:
Solve.
fy=z -8
122+3y=1
Use the substitution method.
०(5, -3)
0 (0, -8)
10 (2, -6)
(4, -4)
Answer: Answer is x = 5, y = -3
(5, -3)
Step-by-step explanation: The instruction is to use the substitution method, and from the first equation,
y = x - 8
This means we replace the value of y in the second equation with x - 8. Hence;
2x + 3y = 1 can now be re-written as
2x + 3(x - 8) = 1
2x + 3x - 24) = 1
5x - 24 = 1
Add 24 to both sides of the equation
5x -24 + 24 = 1 + 24
5x = 25
Divide both sides of the equation by 5
x = 5
Having calculated x as 5, we can now substitute for the value of x in the first equation
y = x - 8 now becomes
y = 5 -8
y = -3
Using the substitution method, we found the solution to be (5, -3), which matches option a.
To solve the system of equations using the substitution method, we'll first solve one equation for one variable and then substitute it into the other equation.
Given:
1. [tex]\( y = x - 8 \)[/tex] (Equation 1)
2. [tex]\( 2x + 3y = 1 \)[/tex] (Equation 2)
From Equation 1, we can solve for y:
[tex]\[ y = x - 8 \][/tex]
[tex]\[ x = y + 8 \][/tex] (Re-arranging)
Now, substitute [tex]\( x = y + 8 \)[/tex] into Equation 2:
[tex]\[ 2(y + 8) + 3y = 1 \][/tex]
Simplify and solve for y:
[tex]\[ 2y + 16 + 3y = 1 \][/tex]
[tex]\[ 5y + 16 = 1 \][/tex]
[tex]\[ 5y = 1 - 16 \][/tex]
[tex]\[ 5y = -15 \][/tex]
[tex]\[ y = -3 \][/tex]
Now, substitute [tex]\( y = -3 \)[/tex] into Equation 1 to find [tex]\( x \)[/tex]:
[tex]\[ x = (-3) + 8 \][/tex]
[tex]\[ x = 5 \][/tex]
So, the solution to the system of equations is [tex]\( (x, y) = (5, -3) \)[/tex].
The sides 5, 6, and 12 form a triangle. True or False
To form a triangle The sum of any two length must be greater the the third side.
5+ 6 =11, which is less than 12 so it can’t form a triangle
The sides 5, 6, and 12 form a triangle is false. C will always be the biggest number because it is the hypotenuse, and the others numbers can either be A or B.
[tex]12=\sqrt{5^2+6^2} \\\\12=\sqrt{25+36}\\\\12=\sqrt{61}\\\\12\neq 7.81024967591[/tex]
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
What are multiples of nine
Step-by-step explanation:
We have,
Nine
To find, the multiples of nine = ?
The multiples of nine are:
1 × 9, 2 × 9, 3 × 9, 4 × 9, 5 × 9, 6 × 9, 7 × 9, .......
= 9, 18, 27, 36, 45, 54, 63, .....
∴ The multiples of nine are 9, 18, 27, 36, 45, 54, 63, .....
Thus, the multiples of nine are 9, 18, 27, 36, 45, 54, 63, ..... .
Determine the slope of a line that is perpendicular to the line y = -2x + 7
Select one:
O A. Slope = -1/2
O B. Slope = 2
O C. Slope = 1/2
O D. Slope = -7
Answer:
C)
Step-by-step explanation:
Perpendicular means negative reciprocal of the current slope.
And the negative reciprocal of -2 is 1/2.
Ilana drew a marble at random from a bag containing 4 blue, 3 red, 2 yellow, and 5 green marbles. What is the probability that she picked a marble that is not red?
20 points for best answer
Answer:
[tex]\frac{11}{14}[/tex]
Step-by-step explanation:
Total number of marbles = 4+3+2+5=14
number of not red marbles = 4+2+5=11
then
the probability that she picked a marble that is not red = 11/14
The dimensions of a rectangular monitor screen are such that it’s length is 4 in. more than it’s width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 216 in^2. What are the length and width of the screen?
Answer:
14 inches by 18 inches
Step-by-step explanation:
Old rectangular monitor screen:
Width = x in
Length = x + 4 in
Area [tex]=x(x+4)\ in^2[/tex]
New rectangular monitor screen:
Width = x - 1 in
Length = 2(x + 4) in
Area [tex]=(x-1)(2(x+4))=2(x-1)(x+4)\ in^2[/tex]
This area would be increased by [tex]216\ in^2,[/tex] so the area would be equal to [tex]x(x+4)+216\ in^2[/tex]. Hence,
[tex]2(x-1)(x+4)=x(x+4)+216\\ \\2(x^2+4x-x-4)=x^2+4x+216\\ \\2x^2+6x-8-x^2-4x-216=0\\ \\x^2+2x-224=0\\ \\D=2^2-4\cdot (-224)=4+896=900\\ \\x_{1,2}=\dfrac{-2\pm \sqrt{900}}{2}=\dfrac{-2\pm 30}{2}=-16,\ 14[/tex]
The width cannot be negative, so
Width = 14 in
Length = 14 + 4 = 18 in
What 48 divide by 879
How many unique ways are there to arrange the letters in the word THAT?
Answer:
12
Step-by-step explanation:
its 12
because its 12
Answer: 12
Step-by-step explanation:
Find the balance in the account after the given period.
$2,200 deposit earning 4.2% compounded monthly, after 1 year
Answer:
2294.20
Step-by-step explanation:
the formula [tex]A = P (1+\frac{r}{n}) ^{nt}[/tex] will show the exponential growth in the account
A = amount in account (how much you'll have after earning interest)
P = the initial amount (how much YOU put in the account)
r = interest rate (in decimal form)
n = the number of times the interests in compounded in one year
t = number of years
plug in numbers into formula
(4.2 will become 0.042 because we need it as a decimal)
(n = 12 because monthly means every month and there is 12 months in a year)
formula will look like [tex]A = 2200 (1+\frac{0.042}{12})^{12(1)}[/tex]
once solved you will get 2294.199616 *round as needed
Kiran wrote the expression x-10 for this number puzzle: "Pick a number, add -2, and multiply by 5."
Lin thinks Kiran made a mistake.
How can she convince Kiran he made a mistake?
Answer:
Step-by-step explanation:5(x-2)
The correct expression Kiran is trying to write is 5x - 10
How to write expressionKiran:
x - 10
let x = the unknown numberAdd - 2
= x + (-2)
= x - 2
multiply by 5(x - 2)5
5x - 10
Therefore, the correct expression Kiran is trying to write is 5x - 10
Learn more about expression:
https://brainly.com/question/723406
What is the exponents to write the expression of 6×6?
Answer:
6 to the power of 2 or 6 squared
Answer:
6 to the power of 2 or 6 squared
Step-by-step explanation:
Bela started studying how the number of branches on her tree grows over time. Every 2.9 years, the number of
branches increases by an additional 83%, and can be modeled by a function, which depends on the amount
of time, t (in years).
When Bela began the study, her tree had 60 branches.
Write a function that models the number of branches t years since Bela began studying her tree.
Answer:
The required function that models the number of branches t years since Bela began studying her tree is
number of branches = [tex]60(1.83)^{\frac{t}{2.9} }[/tex]
Step-by-step explanation:
Let t be the time in years
Initially Bela's tree had 60 branches.
therefore the function that can be used to model the number of branches after t years will be given by
number of branches( after t years) [tex]= 60\times(1 + \frac{83}{100})^{\frac{t}{2.9} } = 60(1.83)^{\frac{t}{2.9} }[/tex]
The function model is [tex]B(t) = 60 * (1.83)^{\frac{t}{2.9}}[/tex].
To model the growth of branches on Bela's tree over time, we can use an exponential growth function. Given that the number of branches increases by 83% every 2.9 years, and the initial number of branches is 60, the function can be derived as follows:
The growth factor after each period of 2.9 years can be expressed as 1 + 0.83 = 1.83. If we let t represent the time in years, we need to determine how many 2.9-year periods have passed. This is given by [tex]\frac{t}{2.9}[/tex].
Thus, the function modeling the number of branches, B(t), after t years is:
[tex]B(t) = 60 * (1.83)^{\frac{t}{2.9}}[/tex]
This function accounts for the exponential growth of the number of branches on Bela's tree over time.
Describe the end behavior of the following function:F(x)=2x^4+x^3
A.The graph of the function starts low and ends high.
B.The graph of the function starts high and ends high.
C.The graph of the function starts low and ends low.
D.The graph of the function starts high and ends low.
The graph of the function starts high and ends high.
Answer: Option B.
Explanation:
The end conduct of a graph is characterized as what is happening at the parts of the bargains. As the capacity approaches positive or negative infinity, the main term figures out what the diagram resembles as it moves towards vastness.
The end conduct of a chart is the way our capacity carries on for extremely huge and tiny info esteems. For exponential capacities, we see that our end conduct goes to endlessness as our information esteems get bigger. The bigger the base of our exponential capacity, the quicker the development.
The end behavior of the function F(x) = 2x^4 + x^3 is determined by the term 2x^4. As x tends toward both positive and negative infinity, this term causes the function to increase towards infinity, meaning the graph starts low and ends high.
The question asks about the end behavior of the polynomial function F(x) = 2x^4 + x^3. To determine this, we look at the highest degree term, which dominates the end behavior. In this case, that term is 2x^4.
As x approaches positive infinity, 2x^4 will grow very large, so the function will also go towards infinity. Similarly, as x approaches negative infinity, 2x^4 will still grow very large (since an even power of a negative number is positive), and the function will go towards infinity as well. Thus, the graph of the function starts low when x is very negative and ends high as x becomes very positive.
Therefore, the correct answer to the student's question is Option A: The graph of the function starts low and ends high.
Can you explained this and give the answer
Answer:
[tex]x^{\frac{3}{7}}[/tex]
Step-by-step explanation:
What is the simplified form of
[tex](\sqrt[7]{x})(\sqrt[7]{x})(\sqrt[7]{x})[/tex]
Applying property of exponents
Remember that
[tex]\sqrt[n]{x^{m}} =x^{\frac{m}{n}}[/tex]
[tex]x^{m}x^{n}=x^{m+n}[/tex]
so
[tex](\sqrt[7]{x})(\sqrt[7]{x})(\sqrt[7]{x})=(x^{\frac{1}{7}})(x^{\frac{1}{7}})(x^{\frac{1}{7}})=x^{(\frac{1}{7}+\frac{1}{7}+\frac{1}{7})}=x^{\frac{3}{7}}[/tex]
Simplify: (m – 3n)2
m2 – 9n2
m2 + 9n2
m2 – 3mn + 9n2
m2 – 6mn + 9n2
(m - 3m)^2
(m - 3n)(m - 3n)
Use the FOIL method.
First m^2
Outer -3mn
Inner -3mn
Last 9n^2
Equation form:
m^2 - 3mn - 3mn + 9n^2
Simplify terms to get...
m^2 - 6mn + 9n^2
The answer is answer D, m^2 - 6mn + 9n^2.
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
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HELP WILL GIVE BRAINLIEST
a) Rewrite 0.00000296 in scientific notation. Explain.
b) Write7.35x10^-5 in standard form. Explain.
Step-by-step explanation:
[tex](a) \: 0.00000296 = 2.96 \times {10}^{ - 6} \\ \\ (b) \: 7.35 \times {10}^{ - 5} \\ \\ = 7.35 \times \frac{1}{{10}^{ 5} } \\ \\ = \frac{7.35}{{100000} } \\ \\ = 0.0000735 \\ [/tex]
Solve the system of linear equations by graphing.
y = 2x
2x + y = - 4
In graph form
Answer:
2x + 2x = 4
4x = 4
x = 1
y = 2(1)
y = 2
(1,2)
what is equivalent to (4xy-3z)^2 and
what type of special product is it?
Answer:
16x2y2 + 9z2 (They are a perfect square trinomial.
Step-by-step explanation:
Rectangle M was dilated to form rectangle M'.
What ratio is the scale factor?
Answer:
The scale factor is the ratio 3/2
Step-by-step explanation:
The picture of the question in the attached image
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem rectangle M and rectangle M' are similar
so
The scale factor is equal to
[tex]\frac{6}{4}=\frac{3}{2}[/tex]
The scale factor is greater than 1
so
The dilation is an enlargement
Look at the pic and answer
Answer:
Step-by-step explanation:
To find the length of LK, we can use the triangle similarity concept. First, let's compare triangles LJK and LMK. We can see that they share angle L, and we know that LJ = 10 and KM = 7. By comparing the corresponding sides, we can set up the proportion: LK / LJ = KM / KJ Substituting the given values, we have: LK / 10 = 7 / 11 To solve for LK, we can cross multiply and then divide: LK * 11 = 10 * 7 LK * 11 = 70 LK = 70 / 11 So, LK = 6.36 (rounded to two decimal places). Therefore, the answer is not provided in the answer choices.
From the answer choices, we can conclude that LK = d. 70/11.
What is the value?From the figure we are given, we can use the property of corresponding angles to determine the probable value of LK. From the corresponding sides, LK/LJ is equal to KM/KJ. Now, we substitute the given values to have the following:
LK / 10 = 7 / 11
To get the exact value of LK, we cross-multiply as follows:
LK * 11 = 10 * 7
LK * 11 = 70
LK = 70 / 11
So, the value of LK = 70/11.
Learn more about triangles here:
https://brainly.com/question/14285697
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Slope is -3 and a y-intercept of 7
Answer:
y = -3x + 7
Step-by-step explanation:
Answer: y=-3x+7
Step-by-step explanation:
The formula is y=mx+b. M is the equal to the slope and b is equal to the y-intercept. Since they are both given to you, you just fill them in for the variables and it is your answer