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Olin [163]
3 years ago
8

Last season two running back's on the college football team rush for a combined 1550 yards one rushed four times as many yards a

s the other how many yards did the player with the most yards rush
Mathematics
2 answers:
OleMash [197]3 years ago
4 0

Answer:124

Step-by-step explanation:

dmitriy555 [2]3 years ago
3 0

Answer:

The player with the most runs had a rush of 1,240 yards

Step-by-step explanation:

In this question, we are asked to calculate the number of yards that was rushed by one of two person given their combined run and an extra information.

Firstly, let the person that had the smaller number of rush have a rush of x rushes. The second person has a rush of 4 times the other. This makes a number of 4x rushes

By adding both together, we have a total of 1550 yards

Mathematically, this means that x + 4x = 1550

5x = 1550

x = 1550/5 = 310 rushes

The second player had a rush of 4x and that is 4 * 310 = 1,240 rushes

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13.

(a)

y=-5x^2+21x-3

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y=-5(2)^2+21(2)-3=-20+42-3=19

for x = 5

y=-5(5)^2+21(5)-3=-125+105-3=-23

(b)

The graph is:

(c)

Using the graph:

\begin{gathered} x=1.8,y=18.6 \\ x=0.548,y=7 \\ x=3.65,y=7 \end{gathered}\begin{gathered} x=1.8 \\ y=-5(1.8)^2+21(1.8)-3=-16.2+37.8-3=18.6 \end{gathered}\begin{gathered} y=7 \\ -5x^2+21x-3=7 \\ -5x^2+21x-10=0 \end{gathered}

Using the quadratic formula:

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}

6 0
1 year ago
6. This solid is a composite of a cube and square pyramid. The base of the solid is the base of the cube. Find the surface area
Sergio039 [100]

Answer:

960 ft^2

Step-by-step explanation:

There are 9 surfaces forming the solid.

5 of them are congruent squares and 4 of them are congruent triangles.

area of square = (side)^2

area of triangle = (base)(height)/2

total surface area = 5 * area of square + 4 * area of triangle

A = 5 * (12 ft)^2 + 4 * (12 ft * 10 ft)/2

A = 5 * 144 ft^2 + 4 * 60 ft^2

A = 720 ft^2 + 240 ft^2

A = 960 ft^2

3 0
2 years ago
Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?
DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is \frac{x}{a} +\frac{y}{b} =1

Now convert the above given line to the standard form

Divide the line by 30 we get

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\frac{x}{15} -\frac{y}{\frac{30}{R} } =1

Here the y-intercept is 30/R

Given y-intercept = 5

\frac{30}{R} =5

R = 6

4 0
3 years ago
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Phoenix [80]

Answer:It's A. I just took the test on e2020

Step-by-step explanation:

8 0
3 years ago
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Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
VARVARA [1.3K]
27/3 = 9 cm3
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