21. Describe a real-life situation that can be modeled by an absolute-value equation
with the solutions x = 5 and x = 10.
Will give Brainly

Answers

Answer 1

The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:

"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."

Given that:

[tex]x = 5\ or\ x = 10[/tex]

An example of real life situation is as follows:

Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.

Represent the point at which the boy stays with x. So, the situation is represented as:

[tex]|x - 7.5| = 2.5[/tex]

Remove absolute brackets

[tex]x - 7.5 = 2.5\ or\ x - 7.5 = -2.5[/tex]

Solve for x

[tex]x = 7.5+2.5\ or\ x = 7.5-2.5[/tex]

[tex]x = 10\ or\ x = 5[/tex]

Hence, the value of x is 5 or 10

Read more absolute values at:

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Related Questions

which of the following functions is graphed below?

Answers

Answer: A

Same as before, the functions are the same.

The first function is used for x ≤ 1, because of the closed circle.

The second function is used for x > 1, because of the open circle.

The correct answer is option (D).

To find from graph below which functions.

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points.

First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex]  function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.

So, the answer is Option (D).

Learn more about co-ordinate geometry here:

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3/8 divided by (-51/24 divided by 7/12)
Pls guys answer fast

Answers

Answer:

[tex]\huge\boxed{\sf - \frac{7}{68} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3}{8} \div (-\frac{51}{24} \div \frac{7}{12} )\\\\While \ changing \ \div \ into \ \times, \ we \ will\ switch \ the \ denominator \ and \ numerator \ after \ \div \ sign\\\\= \frac{3}{8} \div (\frac{-51}{24} \times \frac{12}{7} )\\\\= \frac{3}{8} \div (\frac{-51}{2} \times \frac{1}{7} )\\\\= \frac{3}{8} \div \frac{-51}{2 \times 7} \\\\= \frac{3}{8} \div \frac{-51}{14} \\\\= \frac{3}{8} \times \frac{14}{-51} \\\\= \frac{1}{4} \times \frac{7}{-17} \\\\[/tex][tex]\displaystyle = \frac{1 \times 7}{4 \times (-17)} \\\\= \frac{7}{-68} \\\\= - \frac{7}{68} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Answer:

= -7/68

Step-by-step explanation:

1- first simplify the fractions in the bracket

= 3/8 (-17/8 7/12)

2- then calculate within the brackets

= 3/8 (-51/14)

3- lastly multiply & divide

3/8 (-51/14) = -7/68

simplify ( -12) x ( 13) x (-15)

Please give explanation
fast please

Answers

Answer:

2340

Step-by-step explanation:

(-12)×(13)×(-15)

=(-156)×(-15)[ (+) × (-) = (-)]

=2340[(-) × (-) = (+)]

Please help quick I still can’t figure it out

Answers

Step-by-step explanation:

3+21+7+3+21+7

Evaluate the expression. Will choose brainliest

Answers

Answer:

-213

Step-by-step explanation:

3|3-5|^2-(-15)^2

3(4)-225

=12-225= -213

Answer:

-213

Step-by-step explanation:

=3|x+y|²-(xy)²

Subtitute value of x and y above:

=3(|3+-5|)²-(3×-5)²

=3(|-2|)²-(-15)²

=3(2)²-(225)

=3(4)-225

=12-225

=-213

Note: If you need to ask question,I'll gladly give you answee.Thanks

What type of number is the square root of 5?​

Answers

Answer:

That is called an 'irrational algebraic number'

Hope this helps!! :)

Form a linear equation for the given statement and draw its graph:

Taxi fare for the first km is charged at Rs 20 and Rs 10 is charged for another extra
1 km.

Answers

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°

Answers

Answer:

B. x = 50; m∠LOK = 114°

Step-by-step explanation:

Supplementary angles add to 180

∠MOK + ∠JOM=180

66+ ∠JOM=180

<JOM = <LOK since they are vertical angles

<LOK = x+64

66+ x+64=180

Combine like terms

130+x = 180

x = 180-130

x = 50

<LOK = x+64 = 50+64 = 114

SOMEONE PLEASE HELPPP PLEASE ASPAAP

Answers

Answer:  35

==========================================================

Explanation:

Check out the diagram below.

U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV

TU + UV = TV

17 + 18 = TV

35 = TV

TV = 35

Segment TV is 35 units long.

List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, origin, or none of these.
X-int: (___,0).
Y-int: (0,___).

Is it symmetric about the x-axis: yes/no
Is it symmetric about the y-axis: yes/no
Is it symmetric about the origin: yes/no

Answers

There are 3 x intercepts
(-2, 0) (0, 0) and (2, 0)

There is a y intercept at (0, 0)

Symmetric about x axis: No

Symmetric about y axis: No

Symmetric about the origin: Yes

a shopkeeper sold 16 articles for a total of £400 and made a profit of £48.00 how much did each article cost him

Answers

Each article costed him £22

A pitcher throws a fast ball at a speed of 89 miles per hour (mph), how fast did the ball travel in feet per second (ft/sec)? a. 89 Ft sec b. 469,920 sec c. 130.5 ft d. 60.7 . ft sec sec

Answers

Ira wey es el de abajo

Translate the sentence into an inequality.
Eight subtracted from b is less than or equal to 27.



THIS IS MY LASY!! 20Points

Answers

Step-by-step explanation:

Note that less means (-) and less than or equal means ≤

b - 8 ≤ 27

Hey there!

The answer is:

[tex]b - 8 \leqslant 27[/tex]

Hope it help you

Question 2
Which results in a net value of 0?
O John has $25 and spends $10
O John gives away 4 out of 5 of his canned sodas
O John buys a shirt for $20 and returns it for a refund of $20
O John makes $8 but owes Tracie $5

Answers

B. John gives away four out of his five sodas

How can the word "LEO MESSI" be arranged so that the vowels do not stay together?

Answers

Answer:

"ELO MESSI"

Step-by-step explanation:

Hope it helps

Which of the following represents "the difference between a number and eight is twenty-two"?

N - 8 = 22
8 - 22N
8 - N = 22

Answers

Answer:

N - 8 = 22

Step-by-step explanation:

The variable N goes first. If you look at the question over again, it says the difference between a number and 8 is 22. The number uses the variable N if your trying to figure out what it is, so your gonna subtract your number from 8 to get 22

Answer:

[tex]n - 8 = 22 \\ here \: number \: = n \\ thank \: you[/tex]

solve this problem show work.
-5/6 + 1/3​

Answers

Answer:

-1/2

Step-by-step explanation:

steps are in picture.

If you are having confusion just ask .I'll give you answer.

BRAINIEST AWNSER 100 points PLEASE HELP






The number 1 is the identity for multiplication. Do you think
that division has an identity? Explain your reasoning.

Answers

Answer:

Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.

Step-by-step explanation:

Simplify the expressions below to develop a rule for multiplying powers with the same base.
2 to the power of 2 times 2 to the power of three

Answers

Answer:

2 to power five

Step-by-step explanation:

since the bases are common and we are multiplying we add the powers ,so power two plus power three to get five

write an expression that means the same as the sentence. "the sum of sixteen and g is equal to seventy divided by seven. "​

Answers

Answer:
16+g=70/7
Explanation:
. . .

The difference between high and low tides along the Maine coast one week is 19 feet on Monday and x feet on Tuesday. Write an expression to show the average difference between the tides for Monday and Tuesday. (will give brainliest,) ​

Answers

Answer: 19 + × / 2

Step-by-step explanation:

Look for the key words:

Rise AND fall of the tide = Addition (19+x)

To show the AVERAGE = Division (Divide it by 2 because there is Monday and Tuesday)

The average difference between the tides for Monday and Tuesday Expression is 1/2×(19 + x)

Average difference Expression = 1/2 ×(19 + x)

Where:

19 represent the Difference between high and low tides on Monday

x represent  Difference between high and low tides on Tuesday

Inconclusion The Average difference Expression is  1/2 ×(19 + x)

Learn more here:

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If the average annual CPI of a career goes from 124.0 to 130.7 what is the inflation rate (don't forget to put % in your answer).

Answers

Answer:

(new-old)/old * 100%

130.7-124/124 = .054 = 5.4%

Step-by-step explanation:

It takes 6 boys 15 days to clean a field on a small plot. How long will it take 8 boys?Show Calculations Please​

Answers

Step-by-step explanation:

so it take 20 days for 8 boys

Answer:

8 boys is 20 days

Step-by-step explanation:

[tex]6 \: boys \: : \: 15 \: days \\ 8 \: boys \: : x \: days \\ 8 \times 15 = 6x \\ \frac{120}{6} = x \\ x = 20 \: days[/tex]

hope this makes sense

:)

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

Answer:

OPTION A:

SEE IMAGE FOR SOLUTION

A force of 125 newtons stretches a spring 0.15 meters. What force is required to stretch it 0.25 meters??
show procedure

Answers

Answer:

Step-by-step explanation:

A spring has a force formula of F = k*x

f = 125 N

x = 0.15 m

125 = k*0.15

k =833.33

F = ?

k = 833.33

x = 0.25 m

F = 833.33 * 0.25

F = 208.33 N

You could do this without solving for k

F1/F2 = x1/x2

F1 = 125 N

F2 = ?

x1 = 0.15

x2 =0.25

125 / F2 = 0.15 / 0.25               Cross multiply

125 * 0.25 = 0.15 * F2              Divide by 0.15

125*0.25 /0.15 = F2

F2 = 208.33 just as you got above

write the formula to calculate area of quadrilateral when Co ordinates are given​ can you answer it please...

Answers

Answer:

Area of Quadrilateral Using Coordinates

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

If four coordinates are given then:-

Find length of the sides using distance formula

[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Now break down into two triangles .Use herons formula and find areas of the triangles .add them and get the area

What is 127 divided by 4

Answers

The answer is 31.75.

The value of expression 127 divided by 4 would be; 31.5

When 'a' is divided by 'b', then we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of  127 divided by 4.

A negative divided by a negative is positive, then;

Therefore, 127 ÷ 4 = 31.5

Therefore, The value of expression 127 divided by 4 would be; 31.5

Learn more about division here:

brainly.com/question/26411682

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Can someone explain this? :)

Answers

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

Answer:

a)      a=57°    b=123°   c=123°

b)     f=98°  d=98°   e=98°

c)     g=75°    h=75°

Step-by-step explanation:

a) a°+123°=180°  (angle on a straight line=180°)

    a°=180°-123°

     a°=57°

  b°=123°  (alternative angles)

  c=123°   (vertically opposite angles are equal)

b)f+82°=180°  (angle on a straight line=180°)

   f=180°-82°

   f=98°

  f=d (corresponding angles are equal)

   d=e  (vertically opposite angles are equal)

c)  h=75°  (corresponding angles are equal)

    g=h  (vertically opposite angles are equal)

A 5×12 rectangle is inscribed in a circle. What is the radius of the circle need help with this

Answers

Answer:

6.5

Step-by-step explanation:

Im not 100% sure because I may have overcomplicated this but im going to submit this anyway.

A bakery van has an original value of $40,000. The van is depreciating at a rate of 9% each year. About

how much will this van be worth 5 years later?

Answers

Answer:

$22,000

Step-by-step explanation:

9 percent of 40000 is 3600

it depreciates for 5 years so times 5 which gives us 18000

now subtract this amount from its original value and you get 22,000

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