1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Butoxors [25]
3 years ago
5

Marco joined the soccer team and needs to buy new soccer shorts. He talks to a store owner who says the first pair will be $15 a

nd each additional pair will cost $10. how many soccer shorts can Marco buy for $50?
Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
4 0
The first short is $15. 50-15= $35. Since the rest will be ten dollars ten goes into 35 3 times. So he can buy 4 pairs of shorts with five dollars left over
Licemer1 [7]3 years ago
3 0

Answer:

4 pairs of shorts

Step-by-step explanation:

$15 + $10 + $10 + $10 = $45

You might be interested in
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
Factor completely 3x − 12.<br><br> 3(x − 4)<br><br> 3(x + 4)<br><br> 3x(−12)<br><br> Prime
garri49 [273]
3x - 12
3(3x/3 - 12/3)
3(x - 4)

The answer is: 3(x - 4).
6 0
2 years ago
Read 2 more answers
Another way to check the sum of 104+34+228+877
vekshin1
We are asked to identify an another way to solve the given problem or this summation 104 + 34 + 228 + 887. We can verify it by doing of performing the summation in a reverse sequence such 877 comes first, then followed by 228, then followed by 34 and lastly added by 104. Therefore, the answer is 877 + 228 + 34 + 104.This is an another way to solve the given problem.
4 0
2 years ago
Use exterior angles to solve for interior angles.
Dmitry [639]

Answer:

I could be mistaken but I believe that x= 42.5

Step-by-step explanation:

To find this, you solve for 4x+10=180.

This is because the total angle measure of line RD should be 180 degrees.

When you solve this equation, you get 42.5 for X

8 0
3 years ago
Other questions:
  • What is the following is the product of (-x - 7)(3x + 1)?​
    11·1 answer
  • Use the net to find the lateral area of the cylinder Give your answer in terms in pi
    7·1 answer
  • I need help with #10 and #14 the last one! Please
    9·2 answers
  • What checking account fees can be avoided through good record keeping?
    11·2 answers
  • You make a scale model of a building using the scale factor 1 in = 10 ft. If the building is 65 feet tall, how tall is the scale
    8·1 answer
  • Evaluate the expression when h = 12, p = 7<br><br> 4h −2p −10
    12·1 answer
  • What trigonometric ratio could be used to find the<br> missing side? Tangent, Sine, or cosine?
    6·1 answer
  • The process of selecting elements from a population, collecting data from them, and using it as representative of all those a re
    14·1 answer
  • 8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?
    11·1 answer
  • Can you please help me​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!