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3 years ago

What is the answer 2(x - 5) ≤ - 16

Mathematics

1 answer:

MAVERICK [17]3 years ago

3 0

Answer:

that's the answer I got including steps

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Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?

borishaifa [10]

Answer:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

Step-by-step explanation:

$\overline{PG}=2x+3\\\overline{GQ}=5x-5$

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

$2x+3=5x-5$

Adding 5 to both sides:

$2x+8=5x$

Subtracting 2x from both sides:

$8=3x$

Dividing both sides by 3:

$\frac{8}{3}=x$

Therefore:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

6 0

3 years ago

maria had lunch at her favorite resturant. the cost of her meal was $32. after leaving a 15% tip, what was the total cost of her

Zigmanuir [339]

Answer:

$36.80

Step-by-step explanation:

15% of 32 = 0.15x32 = $4.80

32+4.80 because it was a tip being added to the bill

=36.80

8 0

3 years ago

Read 2 more answers

in the following diagrams ABD=y,DBC=x,EFH=y, EFG=x and PQS=SQR=x.write the following in terms of x and y ABC

Leokris [45]

Angles are the space between intersecting lines, and they are measured in degrees or radians

The measure of angle ABC is y + x

<h3>How to determine angle ABC</h3>

The given parameters are:

ABD=y,

DBC=x,

EFH=y,

EFG=x

PQS = SQR = x

To determine the measure of angle ABC, we make use of angle ABD and angle DBC

Note that angle ABD and angle DBC have common vertices at points B and D

So, we have:

ABC = ABD + DBC

Substitute known values

ABC = y + x

Hence, the measure of angle ABC is y + x

Read more about angle measures at:

brainly.com/question/17972372

3 0

2 years ago

Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?

Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

$T = E + P$

$4P = E + P$

$E = 3P$

Now we find the time.

$E = P*0.04*t$

$3P = P*0.04*t$

$0.04t = 3$

$t = \frac{3}{0.04}$

$t = 75$

It takes 75 years for the investment to quadruple in value

7 0

2 years ago

Katherine Johnson is best known for her work on ________.

Mila [183]

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

7 0

2 years ago