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Artyom0805 [142]
3 years ago
7

The table shows the relationship of how many pounds of cherries are needed to make a certain number of pies:

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

C. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 30, 20 and 45, 30 and 60, 40.

Step-by-step explanation:

If we take two of the original points from the data and put them in to two point form we get the following equation.

(6,4) and (12,8)

(y-4) = [(8-4)/(12-6)](x-6)

y = 2/3x

You have to start a the origin since we can only have enough ingredients to make pies and we can't start with partial pies. So move to y intercept up by 2.

Put the x values in for answer C and you'll return the y values.

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Help 6.5.AP-23 There were 675 people in line for a rock concert. Only 486 people got into the concert. Select the percent of peo
mina [271]

Answer:

D. 28%

Step-by-step explanation:

675 people - 486 people that got in = 189 people left out

189 people out of 675 people = 189 / 675 = 0.28 or 28%

8 0
3 years ago
For a printing company, the cost of printing business cards is a linear function, C(x) = 0.05x + 20, where x is the number of ca
Svetllana [295]

Answer:

80

Step-by-step explanation:

You plug in 1200 for x.

C(1200)=0.05(1200) +20

Then solve. Multiply first then add.

60+20

80

5 0
3 years ago
What is 30% of 70. show your work<br>​
mamaluj [8]

Answer: 21

Step-by-step explanation:

we have two simple equations:

1) 70=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

70/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 70

70/x=100/30

(70/x)*x=(100/30)*x - we multiply both sides of the equation by

70=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x

70/3.33333333333=x

The fore, the answer is 21

8 0
4 years ago
Read 2 more answers
If cos(x) = Three-fourths and tan(x) &lt; 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
A pole that is 3.5m tall casts a shadow that is 1.7m long. At the same time, a nearby building casts a shadow that is 36.5m long
GalinKa [24]
1.)Convert into Proportion: 3.5/1.7=x/36.5
2.)Cross Multiply: 1.7x=127.75
3.)Simplify and Solve: x=75.14

x=75.14m tall
5 0
3 years ago
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