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weqwewe [10]
3 years ago
10

Luigi is the first person to finish a 5K race and is standing 13 feet beyond the finish line. Another runner, Mario, is still ru

nning the race and has approximately 24 feet before he reaches the finish line. What is the distance between Mario and Luigi?
Explain through words, numbers or pictures how you found the answer.
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

37 Feet


Simply do 24+13 to get 37

Mario has to go 24 feet to the finish line and another 13 feet to get to Luigi

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Solve the following system of equations by substation.
Cerrena [4.2K]

Answer:

C. (-1, 3)

Step-by-step explanation:

Label the 2 equations:

5y= 7x +22 -----(1)

x= -6y +17 -----(2)

Substitute (2) into (1):

5y= 7(-6y +17) +22

5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>

5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>

42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

47y= 141

y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 3

Substitute y= 3 into (2):

x= -6(3) +17

x= -18 +17

x= -1

Thus, the solution is (-1, 3).

7 0
3 years ago
I have 12 coins x of them are R5 coins and the rest are R1 coins. An expression in the in terms of x for the number of R1 coins
Marrrta [24]

Answer:

ans= 12-x=r1 coin...

Step-by-step explanation:

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7 0
3 years ago
Can someone please help me Factor 4x^2 - 81
Vsevolod [243]

Answer:

(2x-9)(2x+9)

Step-by-step explanation:

This is a difference of squares because it can be written as (2x)^2-9^2

The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)

So replace a with 2x and b with 9 giving us

4x^2-81=(2x-9)(2x+9)

3 0
4 years ago
Read 2 more answers
Find the volume of the rectangular prism.<br> 19 cm<br> 9 cm<br> 2 cm
Makovka662 [10]

Answer: 342 cm³

Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.

Volume = length × width × height

Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.

Volume = (19 cm) (9 cm) (2 cm)

Volume = 342 cm³

Therefore, the volume of the rectangular prism is 342 cm³.

5 0
3 years ago
One uranium atom has a mass of 3.95 x 10^-22 grams.
creativ13 [48]
Remember
(ab)/(cd)=(a/c)(b/d)
and
\frac{x^n}{x^m}=x^{n-m}

1kg=1000g=1*10^3g
hmm, I estimate, 4 of them

x=number of attoms
mass of 1 times x=1*10^3
3.95*10^-22 times x=1*10^3
divide both sides by 3.95*10^-22
x=\frac{1*10^3}{3.95*10^{-22}}= (\frac{1}{3.95}  )( \frac{10^{3}}{10^{-22}} )=0.25316*10^{25}=2.5316*10^{24}
a million has 9 zeroes
so 24 zeroes is alot that is a <span>septillion, so there are 2.5316 septillion uranium atoms in 1kg


a. 4
b. underestimate

</span>
5 0
3 years ago
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