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Serjik [45]
2 years ago
7

Seven less than two times a number is 29.

Mathematics
1 answer:
Alexxx [7]2 years ago
4 0
2x-7=29

"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together, 

-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)
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One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
Alekssandra [29.7K]

Answer: a = 3∛2

<u>Step-by-step explanation:</u>

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

5 0
3 years ago
To make 6 apples pie, you need 2 pounds of apples. How many pounds of apples do you need to make 10 apple pies?
Bezzdna [24]
For every 6 apple pie, you need 2 pounds of apples.
So, how many pounds of apples do you need for 10 apple pies?
Well, first to figure out this question we first need to make a conversion factor.
I see in the fraction 6/3 we can simplify that to 2/1. Now we got our conversion factor.
We need to invert the fraction in order for the pie unit to cancel out.
1/2 * 10 = 5

You will need 5 pounds of apples to make 10 apple pies.

4 0
3 years ago
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3 years ago
Assume that ∠A  is an acute angle. If sin A = 0.994, use a calculator to find the measure of ∠A to two decimal places.   The mea
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Basically, you are looking for the ARC SINE of .994 which is
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8 0
2 years ago
Factor 4a2 - 25.<br><br> A. (2a + 5)(2a + 5)<br> B. (2a - 5)(2a - 5)<br> C. (2a - 5)(2a + 5)
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3 years ago
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