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Sladkaya [172]
2 years ago
11

Write the missing number under each tick mark on the number line.

Mathematics
1 answer:
Setler79 [48]2 years ago
4 0

Answer:

12

Step-by-step explanation:

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Water tank holds 711 gallons but is leaking at a rate of 4 gallons per week. second water tank holds
Shalnov [3]
After 79 weeks the tanks will have the same amount of water.
948-7*79=395
711-4*79=395
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3 years ago
Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
3 years ago
Which scenarios can be represented by a ratio of 4 : 5 ?
KonstantinChe [14]

Answer:

There are many scenario's.

Step-by-step explanation:

1.4:5

2.4/5

3.4÷5

5 0
2 years ago
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The number of students at a high school was decreased by 30% to 420 after the senior students graduated how many students were a
olchik [2.2K]

Answer:

Step-by-step explanation:

s(1-30/100)=420

s(100-30)/100=420

s(70/100)=420

s(7/10)=420

7s=4200

s=600

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2 years ago
Julie built a tower of blocks that stood 22.5 cm tall. Each block is 1.5 cm tall.
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We must divide the total height by the size of the blocks to work out how many are in the tower
22.5 / 1.5 = 15 blocks
4 0
3 years ago
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