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3 years ago

Is number 7 correct ? Please help

Mathematics

1 answer:

Zarrin [17]3 years ago

3 0

option D

rent = 25b + 10

where b is hours for boat rented

85 = 25b + 10

25 b = 75

b = 75/25 = 3

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Please help me!!! 30 minutes left

Lesechka [4]

Option D:

$\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

To find which expression is equivalent to the given expression.

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $(ab)^m=a^mb^m$

$$=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $\frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}$

$$=\frac{125 a^3 b^{3}a^{6} b^{7}}{30 }$

$$=\frac{125 a^3 a^{6} b^{3} b^{7}}{30 }$

Using exponent rule: $a^{m} \cdot a^{n}=a^{m+n}$

$$=\frac{125 a^{3+6} b^{3+7} }{30 }$

$$=\frac{125 a^{9} b^{10} }{30 }$

Divide both numerator and denominator by the common factor 5.

$$=\frac{25 a^{9} b^{10} }{6 }$

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }$

Therefore, $\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Hence Option D is the correct answer.

4 0

3 years ago

The length between (3, 8) and (-2, -4) is ______?

Mumz [18]

Answer:

4,4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the Distributive property to rewrite each algebraic Expression (8 +r)4, 8(x+9),

soldi70 [24.7K]

Answer:

(8+r)4

32+4r

8(x+9)

8x+ 72

Step-by-step explanation:

4 0

3 years ago

Please help 50 points

yulyashka [42]

Answer:

m∠RQS = 109°

Step-by-step explanation:

<u>Angles on a straight line sum to 180°</u>.

Therefore:

⇒ m∠RQS + m∠SQT = 180°

⇒ (15x + 4) + (10x + 1) = 180

⇒ 15x + 4 + 10x + 1 = 180

⇒ 15x + 10x + 4 + 1 = 180

⇒ 25x + 5 = 180

⇒ 25x + 5 - 5 = 180 - 5

⇒ 25x = 175

⇒ 25x ÷ 25 = 175 ÷ 25

⇒ x = 7

Now that we have found the value of x, substitute this into the expression for m∠RQS:

⇒ m∠RQS = 15(7) + 4

= 105 + 4

= 109°

Learn more about angles here:

brainly.com/question/27954070

brainly.com/question/20180986

6 0

2 years ago

In a certain circle a chord with length 8 ft is twice as far from the center as s chord with length 10 ft. What is the radius of

VARVARA [1.3K]

It would be 18 so ya

7 0

3 years ago