All categories

1 year ago

"eight times the difference of a number and three is sixty-four"?

Mathematics

2 answers:

morpeh [17]1 year ago

5 0

Answer:

the number would be 11

Step-by-step explanation:

8 · x - 3 = 64

________ _ (divide both sides by 8)

8 8

x - 3 = 8

+ 3 + 3

x = 11

(check:

11 - 3 = 8

8 x 8 = 64 )

blondinia [14]1 year ago

5 0

Hi student, let me help you out!

................................................................................................................................

$\bold{Let:}$ $\star$

$\mathsf{s\:be\:the\:number}$

The little phrase (eight times) tells us to multiply s times 8: $\mathsf{8s}$ .

The phrase (the difference of) tells us to subtract 3 minus s: $\mathsf{s-3}$ .

Now, the problem also tells us to multiply 8 times 3-s: $\mathsf{8(s-3)}$ .

Notice I put parentheses around 3-s. This tells us to multiply 8 times both terms - 3 and -s. $\star$

Finally, this expression is 64. All of our hard work results in the following equation: ✨ $\bigstar\underline{\boxed{\mathrm{8(s-3)=64}}}$ $\star$

Hope this helped you out, ask in comments if any queries arise.

Best Regards! $\star$

$\star\bigstar\underline{\underline{\overline{\overline{\bold{Reach\:far.\:Aim\:high.\:Dream\:big.}}}}}\bigstar\star$

You might be interested in

In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

$\Delta P=2134-1431\Rightarrow\Delta P=703$

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

$P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5$

$\Rightarrow P_{2014}\approx3890$

So, there will be approximately 3890 people of the town in 2014.

3 0

1 year ago

A package of tickets for four home game costs 180$. What proportion can you write to find what 12-game package costs if all indi

Sophie [7]

"21 lol jfhfhdhdhhhhhhh"

6 0

2 years ago

Please help Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (F-g)(x)

Vesna [10]

F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2

The answer is D.

4 0

3 years ago

Myrna is buying a new rug for her living room. What is the area of the rug, in square feet?

likoan [24]

Answer:

The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30.

4 0

2 years ago

Read 2 more answers

Solve the following system of equations using the

Alja [10]

Answer:

The solutions are 3 and -5

Step-by-step explanation:

x+3=x^2+3x-12

x^2+2x-15

=(x-3)(x+5)

6 0

2 years ago

Read 2 more answers