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allochka39001 [22]
2 years ago
5

A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will

each runner run? Choose the correct answer.
Mathematics
1 answer:
Vika [28.1K]2 years ago
6 0

Answer: 7/16

Step-by-step explanation:

Distance of the relay race = 1 3/4 miles

Number of runners for the relay team = 4 runners

Distance to be run by each runner will be:

= Distance of the relay race / Number of runners

= 1 3/4 ÷ 4

= 7/4 ÷ 4

= 7/4 × 1/4

= 7/16

Each runner will run 7/16 miles

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How do you solve it?
MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

(x+2)(x-1)=0

<em>"first"</em> would be x*x, which would equal x^{2}

<em>"outside"</em> would be x*-1, which would equal -1x, or -x

<em>"inside"</em> would be 2*x, which would equal 2x

<em>"last" </em>would be 2*-1, which would equal -2

Now you need to combine the terms so that they are one after the other

x^{2}-x +2x-2

Combine like terms, and you should get:

x^{2} +x-2

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

x+2=0\\x=-2

<em>Add one to both sides.</em>

x-1=0\\x=1

ii Solution

<em>Add all the terms.</em>

x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}

8 0
3 years ago
Help!!!!! Not the top one by the way..!
OverLord2011 [107]

Answer:

\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}

3 0
3 years ago
Please help me solve this
Brilliant_brown [7]

Answer:

the answer will be something like 18

4 0
3 years ago
Read 2 more answers
How many cubic centimeters of water can this paper cone cup hold?
Igoryamba

Answer:

150.72 cubic centimeter

Step-by-step explanation:

Given:-

Height of cone (h) = 9cm

Diameter of cone(d)=8cm

radius of cone(r)=\frac{d}{2}=\frac{8}{2} =4cm

To calculate= Volume of cone(V_{cone})

Volume\ of\ cone(V_{cone}) =\frac{1}{3} \times \pi \times r^{2} \times h

=\frac{1}{3} \times 3.14\times 4^{2} \times 9

Volume of cone(V_{cone}) =150.72\ cubic\ centimeter

Therefore paper cone cup can hold 150.72 cubic centimeter of water.

5 0
3 years ago
When david emptied the collection canister of his vacuum cleaner, he found nickels and quarters among the other of the canister.
Ugo [173]

he has 9 quarters and 12 nickles.

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3 years ago
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