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3 years ago

7

Sophie enjoys running on the indoor track. Yesterday Sophie ran a certain number of laps on the track. Today she ran four times

as far. She ran 20 laps today. How far did Sophie run on the track yesterday?

1 answer:

worty [1.4K]3 years ago

8 0

She ran 5 laps yesterday

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How do I factor this polynomial? q^2-121

Tresset [83]

$q^2-121 =q^2-11^2=(q-11)(q+11)\\ \\ \\a^2-b^2 =(a-b)(a+b)$

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3 years ago

There is a competition in the cinema to win free tickets. You must guess the ages of the four employees. Here are the clues: - W

jenyasd209 [6]

Answer:

Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old.

Step-by-step explanation:

Let $k$ be Kirk's age.

Let $b$ be Brian's age.

Let $m$ be Matt's age.

Let $m_{1}$ be the boss/manager's age.

From the information given, we can set up 4 equations:

$k+b+m+m_{1}=106$

$k=2(m_{1}-10)$

$b=2m_{1}-12$

$m=\frac{1}{2}m_{1}+6$

Rewrite the first equation, substituting $k$ , $b$ , and $m$ in terms of $m_{1}$ to get:

$2(m_{1}-10)+(2m_{1}-12)+(\frac{1}{2}m_{1}+6)+m_{1}=106$

Open up the parentheses using the distributive property (which is $a(b-c)=ab-ac$ ) and combine like terms to get:

$5.5m_{1}-26=106$

Add 26 to both sides to reach:

$5.5m_{1}=132$

Thus, $m_{1}=24$ . Substitute $24$ for $m_{1}$ in the second, third, and fourth original equations to find that $k=28$ , $b=36$ , and $m=18$ . Therefore, Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old. To check, you can add up all of the ages to get 106.

Hope this helps :)

8 0

2 years ago

Which of the following represents the total cost of the shoes by applying the $15 coupon first and the 20% member discount secon

murzikaleks [220]

Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).

<h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

<h3>Total cost in this case</h3>

Being "x" the price of the shoes, and knowing that:

you apply a discount of $15 first → x -15
you apply a discount of 20% through a second discount (
(applied on the first discount already made) → 20%×(x-15) → 0.20×(x-15)

the equation in this case is:

<u><em>Total cost= 0.20×(x-15)</em></u>

Finally, the total cost of the shoes is 0.20×(x-15).

Learn more about equations:

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brainly.com/question/13314678

#SPJ1

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2 years ago

ILL GIVE BRAINLEST

lukranit [14]

Answer:

not a function

Step-by-step explanation:

3 - 2 = 1

2 - 5 = -3

5-6 = -1

6-7 = -1

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3 years ago

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Tom gathered some mushrooms. Of those he dried 2/5 , then pickled 5/9 of the remaining mushrooms, and then fried the 28 mushroom

KATRIN_1 [288]

14 because he didn't gather 28 or more he gathered only 14

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3 years ago

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