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3 years ago

find the number such that three times the sum of two and a number is three less than four times the number

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

Step-by-step explanation:

let the number be n then 3 times the sum of 2 and the number is

3(n + 2) = 4n - 3 ( 3 less than 4 times the number )

3n + 6 = 4n - 3 ( subtract 3n from both sides )

6 = n - 3 ( add 3 to both sides )

9 = n

That is the number is 9

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To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s

larisa86 [58]

First make the denominators of the fractions the same by multiplying.

$\frac{2}{3}$ × $\frac{2}{2}$
= $\frac{4}{6}$

Now we just need to add the fractions together

$\frac{5}{6} + \frac{4}{6}$
= $\frac{9}{6}$

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

$\frac{9}{6}$ ÷ $\frac{3}{3}$
= $\frac{3}{2}$
=1.5 yards

Your final answer is 1.5 yards of ribbon are needed.

7 0

3 years ago

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Tara earns $9 for each dog she walks. She walks 10 dogs an hour. After walking dogs for 4 hours, how much money will Tara have e

solong [7]

Answer: $360

Step-by-step explanation:

In one hour, she makes $9 * 10 dogs = $90.

In 4 hours, we simply multiply that by 4 to get $90 * 4 = $360 total

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3 years ago

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Gary learned that the value of his car depreciates by 15% percent per year. Which of the following functions best describes the

Sever21 [200]

For this case we have that the original value of the car is:
m dollars
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((100-15) / (100)) m
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((85) / (100)) m
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Answer:
the value of his car the year after the car is worth m dollars is:
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5 0

3 years ago

If there are 6 serving in a 2/3 pound lb package of pound is in each serving

Serhud [2]

Answer:

$\boxed{\math{\frac{1}{9}\text{ lb}}}$

Step-by-step explanation:

$\text{Size of one serving} = \dfrac{\text{Total size}}{\text{No of servings}} = \dfrac{\frac{2}{3}\text{ lb}}{\text{6 servings}}\\\\\text{Change the 6 to a fraction and change divide to multiply}\\\\\dfrac{2}{3} \div 6 = \dfrac{2}{3} \times \dfrac{1}{6}$

$\text{Cancel the 2s}\\\\\dfrac{2}{3} \times \dfrac{1}{6} = \dfrac{1}{3} \times \dfrac{1}{3}\\\\\text{Multiply numerators and denominators}\\\\\dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}\\\\\text{Each serving contains }\boxed{\mathbf{\frac{1}{9}\textbf{ lb}}}$

3 0

3 years ago

Help please I’ll give you 25 points

Ira Lisetskai [31]

Answer: Choice D) $y = \pm \sqrt{x+5}$

The steps to finding the inverse will have us swap x and y. Afterward, we solve for y

$y = x^2 - 5 \\\\x = y^2 - 5 \\\\x+5 = y^2 \\\\y^2 = x+5 \\\\y = \pm \sqrt{x+5} \\\\$

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Extra info:

The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into $y = \pm \sqrt{x+5}$ leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on $y = x^2-5$ to make it a one-to-one function, to make the inverse a function. One possible domain restriction is $x > 0$ which would lead to the inverse function $y = \sqrt{x+5}$

4 0

3 years ago

find the number such that three times the sum of two and a number is three less than four times the number​

find the number such that three times the sum of two and a number is three less than four times the number