Answer:
2 3/6
Step-by-step explanation:
When reducing the fraction you see how many times the denominator of 6 can fit into to numerator of 15. It is 2 with 3 left over. So you write 2 3/6
Answer:
2 1/2
Step By Step:
15 divided by 6: 2 R3
2 3/6
GCF is 3
Divide both sides by 3, and get 2 1/2
how many children are in a crowd of 7900 if the proportion is 20%?
Answer:
7900/100*80 = 6320
Step-by-step explanation:
In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.
To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:
1. Calculate the proportion (20%) as a decimal: 20% = 0.20.
2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:
Children = 7,900 * 0.20 = 1,580.
So, in a crowd of 7,900, there are 1,580 children.
This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.
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What single transformation maps ∆ABC onto ∆A'B'C'?
A. rotation 90° clockwise about the origin
B. rotation 90° counterclockwise about the origin
C. reflection across the x-axis
D. reflection across the line y = x
Answer:
The correct option is B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
The correct option is B. rotation 90° counterclockwise about the origin.
None of the other transformations result in ∆A'B'C in the third quadrant.
Answer:
B. rotation 90° counterclockwise about the origin
Step-by-step explanation:
A box measures 1/4ft. long, 1/6ft. wide, and 1/3ft. high. Find the volume of the
box in inches
Answer:
24 cubic inches
Step-by-step explanation:
1 ft = 12 inches
convert all dimensions to inches
1/4 ft = 1/4 * 12= 3 inches
1/6 ft = 1/6 * 12 = 2 inches
1/3 ft = 1/3 * 12 = 4 inches
Volume of a box = L*W*H
= 3 * 2 * 4
= 24 cubic inches
Therefore 1/72 ft will be 1/72 * 12
= 1/6 inches
3/4 times negative 4
Answer:
-3
explanation:
3/4 times negative 4 = -3
Answer:
-3
Explanation:
.75 * -4 = -3
solve the system of equations
9x - 4y = -7
7x - 12y = 39
x?
y?
Answer:
x = -3
y = -5
(-3, -5)
Step-by-step explanation:
We can solve this system of equations by elimination. This is when you either add OR subtract the equations (depending on the situation) to eliminate one variable, allowing you to solve for the other. To do this, we need one variable with the same coefficient in BOTH equations.
9x - 4y = -7 X3=> 27x - 12y = -21 (New equation is still equivalent)
7x - 12y = 39
Both equations have negative "12y" in them. If you subtract - 12y from - 12y, you get 0, eliminating the variable. Subtract the two equations.
. 27x - 12y = -21 Subtract each term in the equation.
- 7x - 12y = 39 Keep equal signs aligned
. 20x - 0 = -60 'y' eliminated. -12y - (-12y) = 0
. 20x = -60 Isolate 'x'
. 20x/20 = -60/20 Divide both sides by 20
. x = -3 Solved for 'x'
Substitute 'x' for -3 in any equation.
9x - 4y = -7
9(-3) - 4y = -7 Substitute. Simplify multiplication.
-27 - 4y = -7 Isolate 'y' now
-27 + 27 - 4y = -7 + 27 Add 27 on both sides
-4y = 20 Left side cancelled out 27, right side simplified by adding.
-4y/-4 = 20/-4 Divide both sides by -4
y = -5 Solved for 'y'
Therefore the solution is when 'x' is -3 (x = -3) and when 'y' = -5 (y = -5).
You can also write the solution as an ordered pair, like coordinates, which are written (x, y). The solution would be (-3, -5).
rked
Scon Given that f(x)= x2 - 18 and g(x) = 5x + 19. find (g- 1)(-6), if it exists.
Answer:
Step-by-step explanation:
Since g is a one-one function, its inverse exists.
Let (g^-1)(-6) = t
We have to find t
-5
(g^-1)(-6) = t inplies
-6 = g(t)
-6 = 5t + 19
5t = -25
t = -5
Find the constant variation when t varies directly as the square root of s, and t=64 when s=4
Answer:
a or b
Step-by-step explanation:
Final answer:
The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.
Explanation:
We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:
64 = k√4
Since the square root of 4 is 2, we get:
64 = 2k
Dividing both sides by 2, we find that k = 32, which is the constant of variation.
1. Add the decimals.
a) 0.42 +0.34
Answer:
0.76
Step-by-step explanation:
Answer:
.76
Step-by-step explanation:
Just add them
What is the solution to the system of equations? 3 x - 4 y = 16. 2 x + 3 y = 5.
Answer:
Step-by-step explanation:
Equation 1
3x - 4y = 16
multiplying equation by 3
it becomes
9x - 12y = 48 ------------(A)
equation 2
2x + 3y = 5
multiplying equation by 4
8x + 12y = 20 -------------(B)
Now comparing equation A & B
17x = 68
x = 4
putting the value of x in equation 2
2(4) + 3y = 5
8 + 3y = 5
3y = -3
y = -1
So, solution is (4 , -1)
2(-6+4z) answer to my problem
Answer:
The correct answer would be 8x - 12.
Step-by-step explanation:
2 ( -6 + 4z)
= (2) ( -6 + 4z)
= (2) ( -6) + (2) (4z)
= 12 + 8z
= 8z - 12
Hope this helps!
Answer:
Expanded answer: 8z - 12
OR
Factored answer: 4(2z - 3)
Step-by-step explanation:
Solve using the distributive property. This is when you multiply the number outside the brackets by each number inside the brackets.
2(-6 + 4z)
= (-6)(2) + (4z)(2) Multiply each number by 2
= -12 + 8z When you can, try not to start with a negative number.
= 8z - 12 This is the answer in expanded form
Refactored:
"8z" and "12" have a GCF (greatest common factor) of 4. Take out "4" from the expression to factor.
8z - 12
= 4( 8z/4 - 12/4 ) Divide each term by 4.
= 4(2z - 3) This expression is equivalent when you need it fully factored.
A skydiver jumped out of a plane and
descended 0.66 miles in 1.5 minutes.
What was the skydiver's average change
of altitude per minute?
Answer: [tex]0.44 mi/min[/tex]
Step-by-step explanation:
We are asked to find the "skydiver's average change of altitude per minute", this means we have to find the variation of the skydiver's distance in a given time. This is its velocity, which is given by:
[tex]V=\frac{\Delta d}{\Delta t}[/tex]
Where:
[tex]V[/tex] is the skydiver's velocity
[tex]\Delta d=0.66 mi[/tex] is the distance the skydiver has descended
[tex]\Delta t=1.5 min[/tex] is the time in which the skydiver has descended its distance
Solving:
[tex]V=\frac{0.66 mi}{1.5 min}[/tex]
[tex]V=0.44 mi/min[/tex] This is the skydiver's average change of altitude per minute
Solve.
{x−2y=04x−3y=15
A. (2, 1)
B. (0, 5)
C. (6, 3)
D. (4, 2)
Classify the triangle by its sides and angle
Answer: A
Step-by-step explanation: Acute and isosicles
Answer:
The answer is A. Hope I helped you! ;)))
Step-by-step explanation:
The triangle is acute and is isosceles.
The cost to produce x units of wire is C= 55x + 450, while the revenue is R= 80x. Find all intervals where the product will at least break even.
The product will break even when x is greater than or equal to 18 units, i.e., x ≥ 18, as revenue (R) exceeds or equals cost (C) at this production level.
To find the intervals where the product will at least break even, we need to determine the values of x for which the revenue (R) is equal to or greater than the cost (C), i.e., R ≥ C.
Given:
Cost function C(x) = 55x + 450
Revenue function R(x) = 80x
We can set up the inequality:
80x ≥ 55x + 450
To isolate x, we can subtract 55x from both sides:
80x - 55x ≥ 55x - 55x + 450
This simplifies to:
25x ≥ 450
Now, divide both sides by 25 to solve for x:
x ≥ 450 / 25
x ≥ 18
So, the product will break even when x is greater than or equal to 18. This means that for any production level of 18 units or more, the revenue will be equal to or greater than the cost, ensuring that the product is at least breaking even. Therefore, the interval where the product will at least break even is x ≥ 18.
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To break even, the revenue (R) must equal the cost (C). Setting the revenue function R = 80x equal to the cost function C = 55x + 450 and solving for x, we find that the product will break even when x >= 18 units, meaning the company will begin to make a profit at any production level greater than 18 units.
To find where the product will at least break even, we need to determine when the total revenue
(R) is greater than or equal to the total cost (C). The cost to produce
x units of wire is given by C = 55x + 450, and the revenue by R = 80x. To break even,
R must be equal to C:
80x = 55x + 450
Solving for x gives us:
80x - 55x = 450
25x = 450
x = 450 / 25
x = 18
Therefore, the product will break even at x = 18 units. For any number x greater than 18, R will be greater than C, which means profits are being made. The interval for breaking even is thus x >= 18.
What is the value of y=4x−2
when x=3
?
Answer:
y = 10
Step-by-step explanation:
y = 4(3) - 2
y = 12 - 2
y = 10
Answer:
10
Step-by-step explanation:
plug the 3 in and multiply it by the 4. subtract the 2 and thats it!
please show work find m
Answer:
m∠CBD = 60 degrees
Step-by-step explanation:
2x + 14 + x + 7 = 90 The equations equal 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 from both sides
3x = 69 Divide by 3 on both sides
x = 23
Plug 23 in the equation
2(23) + 14 = 60
Susan is saving money to buy a game. The game costs $30 , and so far she has saved two-thirds of this cost. How much money has Susan saved?
Answer:
Susan has saved 20 Dollars so far
PLEASE HELP step by step
Answer:
The length of the line segment is 10 units.
Step-by-step explanation:
Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).
The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]
Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and
[tex]$ (x_2, y_2) = (8, 5) $[/tex]
Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]
[tex]$ = \sqrt{6^2 + 8^2} $[/tex]
[tex]$ = \sqrt{36 + 64} $[/tex]
[tex]$ = \sqrt{100} $[/tex]
= 10 units.
Hence, the answer.
What is the measure of the supplement of the angle 90
Answer:
90°
Step-by-step explanation:
supplementary angles, when added = 180°
so if one angle is 90°, then the other angle, its supplement, is 180 - 90 = 90°
Answer:
90°
Step-by-step explanation:
The supplement of an angle is what, when added to it, equals 180°.
So if we have 90°, we would subtract 90° from 180° to get 90°.
The supplement of 90° is 90°.
The complement of 85° is 5°, since they add up to equal 90° a right angle. So the complement of 90° is 0°
Which shows the use of the associative property?
Answer:
The Second One or B. You were correct.
Step-by-step explanation:
The associative property is when the numbers of an equation stay the same, but the parentheses move.
The area of a circle is 49π cm^2. Find the circumference of the circle. Leave your answer in exact form, no decimals, and include units (Note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).
Step-by-step explanation:
Let r be the radius of the circle
The area of a circle is A = pi * r^2
We know the area is 49 pi
pi r^2=49 pi
r^2=49 pi/pi
r^2=49
r=sqrt 49
r=7
The circumference of the circle is calculated as
C = 2pi*r
C = 2 *pi *(7)
C = 14*pi cm
pi=22/7
C=14*22/7=2.22=44 inches
so,C =44 inches
PLEASE HURRY.
Niki can drive her car 22 miles on each gallon. If niki drives m miles which expression the number of gallons used?
A:m-22
B:22m
C:22/m
D:m/22
Answer:
M divided by 22 = total number of gallons used for the trip (m/22)
Step-by-step explanation:
Let's identify what we know:
1) Niki's car can do 22 miles per gallon (mpg)
So, what formula would we use to find out how many gallons were used if Niki drove m (number of miles) miles?
Well, let's pretend that Niki drove 154 miles! How would we solve it? Let's create a formula:
154/22 = number of gallons used
so, 154 is m!
m/22 = number of gallons used.
D is the correct answer! :)
Answer:
D.
m/22
Step-by-step explanation:
5 female giraffes have a mean weight of x kg
7 male giraffes have a mean weight of y kg
Write down an expression, in terms of x and y, for the mean weight of all the giraffes.
Step-by-step explanation:
Weight of all female giraffes = 5x kg
Weight of all male giraffes = 7y kg
Mean weight of all giraffes
[tex] = \frac{5x + 7y}{5 + 7} \\ \\ = \frac{5x + 7y}{12} \: kg[/tex]
The mean weight of all the giraffes, in terms of x and y, is calculated by adding the total weights of both female and male giraffes and then dividing by the total number of giraffes. The expression for the mean weight is (5x + 7y) / 12.
To find the mean weight of all the giraffes in terms of x and y, we must first calculate the total weight of female and male giraffes separately and then combine these totals to find the overall mean.
For the 5 female giraffes: Total weight = 5 × x = 5x kg
For the 7 male giraffes: Total weight = 7 × y = 7y kg
Then, we add these together to get the combined total weight: Combined total weight = 5x + 7y kg
Since there are 5 + 7 = 12 giraffes in total, we then divide the combined weight by the number of giraffes to find the overall mean weight.
Overall mean weight = (5x + 7y) / 12
State the domain and range of the following function. {(-9,3), (5,1), (6,9), (-4,7), (3,2)}
Answer:
Step-by-step explanation:
Domain = {-9,5,6,-4,3}
Range= {3,1,9,7,2}
Domain is x value and range is y value
The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.
What is domain of a function?
The domain of a function is the values of variable that is entered in a function.
What is the range of a function?
The range of the function is the value that is coming out from solving a function.
How to calculate the domain and range of a function?
We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.
Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.
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How do you convert decimal to percent like for example.( convert 1.37 to a percent) please show work thank you
answer: 137%
to convert from decimal to percent, you multiply the decimal by 100.
Answer: 137%
Step-by-step explanation:
100% is equal to 1. Therefore, 1.37 is equal to 137% if you move the decimal point correctly. Multiplying by 100 is also another way to do it.
PLEASE HELP GET 20 PTS HELLLLLLP !!!!!
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1.
Given the data presented in the bar graph, which sport represents 20% of the favorite sport for those surveyed?
Baseball
Tennis
Basketball
Soccer
Answer:
Baseball
Step-by-step explanation:
There are 30 people in total who voted in survey
9 Soccer
7 Basketball
5 Tennis
3 Hockey
6 Baseball
If 30 represents 100% of them then we divide 30 by 100 then multiply by 20
30 ÷ 100 × 20 = 6 is the number of people likes baseball as their favourite.
Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 12 child tickets for a total of $178. The school took in $83 on the second day by selling 4 adult tickets and 3 child tickets. Find the price of an adult ticket and the price of a child ticket.
Answer:
1) adult ticket: $14, child ticket: $9
Step-by-step explanation:
Kris is making cookies. He has 43 cups of sugar. He needs 23 cup of sugar to make one whole batch of cookies.
Zeke bought 10 shares of a company’s stock at a price of $21.20 per share. He now sees that the price per share of his investment is $32. His broker informs him that the price of the shares may see a decline in the future. Zeke should ideally the assets because he stands to earn a profit of per share from the transaction.
Zeke can make a profit of $10.80 per share if he sells his stocks now. His broker expects a decline in the future, so selling now would be a good decision.
Explanation:Zeke's situation pertains to the world of finance and stock investment. He bought 10 shares of a company's stock at $21.20 per share and it's currently priced at $32 per share. By subtracting the buying price from the current price, we can calculate the profit per share which is $10.80.
So, if he sells the stocks now, he will make a profit of $10.80 per share. For 10 shares, that's a total profit of $108 (10 shares * $10.80 per share). If his broker expects a decline in the price, Zeke ideally should sell the shares now to profit before the prices go down.
Generally, the rate of return on a financial investment in a share of stock can be from dividends paid by the firm or as a capital gain achieved by selling the stock for more than you paid. In this case, Zeke's profit would be considered a capital gain.
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15% as mixed number in simplest form
Answer:
The simplified fraction form of 15% is 320