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Vlad1618 [11]
2 years ago
10

The ratio of the number of math books to the number of comic books on a shelf is 7:3. There are 21 comic books on the shelf. Fin

d the number of math books on the shelf.
Mathematics
2 answers:
Sauron [17]2 years ago
7 0

Answer:

There are 49 math books on the shelf.

Step-by-step explanation:

math books : comic books

       7           :         3

       x           :        21

21÷3=7

7*7=49

x=49

NNADVOKAT [17]2 years ago
3 0

Answer:

49

Step-by-step explanation:

Let the number of math books on the shelf be x.

7:3\\x:21

Cross multiply the ratio and solve for x.

3x=7 \times 21\\3x=147\\x=49

There are 49 math books on the shelf.

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He needs to purchase some work clothes and notices that J.C. Penney is having a 25% off of your total purchase sale. He decides
SVETLANKA909090 [29]
First, lets determine the regular price of his purchase :

16.99 (3) + 34.99 (3) + 52.99 (2) + 5.99 (5) = 50.97 + 104.97 + 105.98 + 29.95 = 291.87

Therefore, the regular price of his purchase is $291.87 before sales tax.

If he receives 25% off of his total purchase, then the price is now :

291.87 * .75 = $218.90

We multiply by 75% because we are only paying 75% of the total purchase price since we received a 25% discount.

The total savings is 

291.87 - 218.90 = $72.97

If sales tax is 10%, the total purchase price after sales tax is :

218.90 * 1.10 = $240.79

The sales tax is $21.89 since

240.79 -218.90 = 21.89

If he pays with 3 $100 bills, we should receive :

300 - 240.79 = $59.21 

in change.
5 0
3 years ago
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31)
Darina [25.2K]

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

4 0
2 years ago
Which of these is closest in size to 1?<br> 0.95<br> 1.05<br> 0.960<br> 1.040<br> 0.95
yuradex [85]
1.05....................
8 0
2 years ago
BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.
agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is (\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2}), where (x_1, y_1) and (x_2 , y_2) are points. In this case, the point C has the values of (x_1, y_1), and B has the values of (x_2 , y_2)

We know that coordinates of M equal (\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})

In other words,

\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6

Let's plug 2 for x_1 and 10 for y_1

So:

\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6

Multiply both sides by 2

{2 + x_2} = 12\\{10+ y_2} =12

Subtract 2 from both sides in the first equation to find the value of x_2:

x_2=10

Now, for the second equation, subtract 10 from both sides to find the value of y_2

y_2=2

Now substitute these values for (x_2, y_2)

(x_2, y_2)=(10,2)

So the coordinates of point B are (10, 2)

Hope this helps!

3 0
3 years ago
A zip line is setup 150ft in the air, where a person can expect to zip line at a safe declining speed to the ground as they pass
hichkok12 [17]

Answer:

139 ft

Step-by-step explanation:

So the zip line forms a right triangle.  The height of the triangle is 150 ft, and the opposite angle is 40°.  The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.

tan 40° = 150 / x

x = 150 / tan 40°

x ≈ 179 feet

But this includes the 40 ft long body of water, so the amount of ground covered is:

179 ft - 40 ft = 139 ft

4 0
3 years ago
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