You are building a rock wall for a flower bed along your 46-foot long driveway. You want the wall to be one-half of the length of the driveway with an absolute deviation of at most 6 feet. Write and solve an absolute value inequality that represents the possible lengths of the wall.

Answers

Answer 1

Answer:

a. ║ x - 23 ║ ≤ 6 b.  17 ≤ x ≤ 29

Step-by-step explanation:

a. Let x be the length of the wall. Since the length of the wall is half the length of the drive way with an absolute deviation of 6 at most, since the drive way is 46 foot long, half of it is 46/2 = 23.

So, 23 ± 6 ≤ x or x - 23 ≤ ±6 or ║ x - 23 ║ ≤ 6

b. Solving the absolute value inequality,

-(x - 23) ≤ 6 and x - 23 ≤ 6

x - 23 ≥ 6 and x - 23 ≤ 6

x ≥ 23 - 6 and x ≤ 23 + 6

x ≥ 17 and x ≤ 29

So 17 ≤ x ≤ 29


Related Questions

A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)

perimeter.

Explain the mistake that was made in the simplified expression. Include the correct simplified expression in your explanation. Be sure to use math vocabulary words.

Answers

Answer:

I’m backk

Step-by-step explanation:

What is the product of the given radicals.
[tex]\sqrt{50}[/tex] and [tex]\sqrt[5]{6}[/tex]

a.[tex]\sqrt[5]{3000}[/tex]
b.[tex]\sqrt[25]{12}[/tex]
c.[tex]\sqrt[50]{3}[/tex]
d.[tex]\sqrt[25]{3}[/tex]

Answers

Answer:

the product of the given radical is [tex]\sqrt[5]{12}[/tex]

Step-by-step explanation:

The computation of the product of the given radicals is as follows

According to the question, the following radical is

[tex]\sqrt{50} \ and \sqrt[5]{6}[/tex]

Now simplify it

[tex]\sqrt{25 \times 2} and \sqrt[5]{6}\\\\\sqrt{25} \sqrt{2} and \sqrt[5]{6}\\\\\sqrt[5]{2} and \sqrt[5]{6}\\\\\sqrt[5]{12}[/tex]

Hence, the product of the given radical is [tex]\sqrt[5]{12}[/tex]

This is the answer but the same is not given in the options

ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.

A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons

Answers

the answer is c 1691 gallons

Answer:

cc

Step-by-step explanation:

There are 20 children in a class 45% are girls, How many girls and boys are there?

Answers

Answer:

Step-by-step explanation:

each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys

The number of girls is 9 and the number of boys is 11.

Important information:

Total number of students = 2045% of total students are girls.Percentage:

Using the given information, the number of girls is:

[tex]20\times \frac{45}{100}=9[/tex]

Now, subtract the number of girls from the total number of students.

[tex]20-9=11[/tex]

Therefore, the number of girls is 9 and the number of boys is 11.

Find out more about 'Percentage' here:

https://brainly.com/question/813490

#5-10: Identify which line from the graph the following right triangles could lie on.
5.
120
6.
7
24
LINEAW
munt
90
30
18
9
2
SINEC
8.
14
9.
24
10.
16
21
th
36
48
7

Answers

Answer:

10

Step-by-step explanation:

The graphs the following right triangles could lie on are,

Line A triangle 10.

Line B triangle 8.

Line C triangle 7.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Line A is (2, 6) so we have to find the right angle triangle which has a ratio of 2 : 6 for height : base.

The right angle triangle has a ratio height : base is 10. 16 : 48 which is 2 : 6.

Similarly, line B is (6, 9) or 2 : 3 so it is triangle 8.

And for line C (8, 6) so it is triangle 7.

learn more about triangles here :

https://brainly.com/question/29083884

#SPJ2

Pls, it’s for a test , ;< . I Wanna actually Get a good grade. PLS HELP you will get 20 points


Solve y3 = 27.


A. y = 5.2
B. y = 9
C. y = 3
D. y = 3 y= 3

Answers

Answer: B. y=9
Explanation: divide both sides of the equation by three
y3/3 = y
27/3=9
y=9
hope this helps:)

Answer:

The answer is y=3

6(5x -3) PLEASE HELP THIS DUE TODAYYY

Answers

Answer:

-90

Step-by-step explanation:

-4/5 divided by 1/3​

Answers

Answer:

-12/5 or -2.4

Step-by-step explanation:

(-4/5) / (1/3) =

(-4/5) x (3/1) =

-12/5

-12/5 = -2.4

Answer:

[tex]\frac{-(\frac{4}{5})}{\frac{1}{3}} = -(\frac{4}{5}) * (\frac{3}{1} )= -\frac{12}{5}[/tex]

Step-by-step explanation:

1. Dividing fractions means multiplying the reciprocal-- so turn the fraction upside down and multiply by the first.

HELPPPP. For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
(-4,3)
(-3, -4)
(-4,-3)
(3-4)

Answers

Answer:

option c

Step-by-step explanation:

because the y intercept is -3

What is the value of x if x^1/2=64^1/3

Answers

Answer:

x=16

Step-by-step explanation:

[tex]x^{\frac{1}{2} }=64^{\frac{1}{3 } }=(4^3)^{\frac{1}{3} }=4^{3 \times \frac{1}{3} }=4 \\squaring\\x=4^2=16[/tex]

I think the answer is 16

pweese helppppppp meeeeeee

Answers

Answer:

No solution

Step-by-step explanation:

Graph these two equations and find a point where they intersect.

If they intersect, record the x values it intercepts. If it doesn't intersect, then it is no solution.

PLEASE HELP !!! I would appreciate it

Answers

64, 32, 16

good luck mark brainly :DD

Answer:

64, 32, 16

Step-by-step explanation:

pls help i'll give branliest

Answers

Answer:

50

Step-by-step explanation:

good luck!!

Answer:

50

Step-by-step explanation:

hope its correct..............

write the equation of the polynomials in factored form that has the following zeros: -8, -4, 5, 5, 2

Answers

Answer: (x+8)(x+4)(x-5)^2(x-2)

Explanation:

When finding a zero, you set the equation equal to 0 then solve.

For example, x+8=0
You would isolate x by subtracting both sides by 8 and get x=-8. This mean that the root or zero is -8. When there are two zeros that are the same, you just square the equation.

pls please please answer !!!

Answers

Answer:

B) 120

Step-by-step explanation:

hope this helpssssss

C is the correct answer

What is the value of f(-4)?
f(-4) =_____

Answers

Answer:

it looks like -7

Step-by-step explanation:

i just went to x=-4 and went to the nearest point from there

hope this is correct and helps

A sixth-grade student bought three cans of tennis balls for $4 each. The sales tax for each can was $.95. Which expression(s) can be used to find the total amount the student spent. Select all that apply.

Answers

Given :

A sixth-grade student bought three cans of tennis balls for $4 each.

The sales tax for each can was $0.95.

To Find :

The total amount the student spent.

Solution :

Price of each can including taxes :

p = $( 4 + 0.95 )

p = $4.95

So, price of 3 such cans including tax is :

P = p×3

P = $( 4.95×3 )

P = $14.85

Therefore, total amount spend by the student is $14.85 .

Given slope = -5 & y-intercept = (0,0) write the equation

Answers

y=-5x

Step-by-step explanation:

I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!

Answers

Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83

Step-by-step explanation: I hope this helped

Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts?

Answers

Answer:

67

Step-by-step explanation:

(4*100)/6

=400/6

=66.67

Round to get 67

Does anyone know how to do this I’ve been trying for hours and I can’t find anything to help me?

Answers

Answer:

Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.

Step-by-step explanation:

Abes apples orchard plants both green apple trees and red apple trees this planting will include 21 red apple trees and 18 green apple trees what is the ratio of green apple trees and red apple trees

Answers

Answer:

The ratio of green apples to red apples is .

Step-by-step explanation:

Given,

Number of red apples = 21

Number of green apples = 18

We have to find out the ratio of green apples to red apples.

Solution,

For finding the ratio we have to divide the number of green apples to the number of red apples.

So, we can frame the above sentence as;

Ratio = number of green apples/number of red apples

Now substituting the values, we get;

Ratio= 18/21 = 6/7

Hence The ratio of green apples to red apples is . 6/7

5(x + y)-3(x-y)=
Help please

Answers

Answer:

2x and 8y

Step-by-step explanation:

Distribute:

5*x=5x

5*y=5y

-3*x=-3x

-3*-y=3y

Combine:

5x+-3x= 2x

5y+3y= 8y

Hope this helps!!!

Please HURRY !
10(4-7)
What is the value of -(4-1)?
O-10
O-6
O6
O 10

Answers

the answer is the first one or -10

given f^-1(36)=7, what value of x makes f(x)=36​

Answers

Answer:

x =7

Step-by-step explanation:

[tex] {f}^{ - 1} (36) = 7 \\ \\ \implies \: 36 = {f} (7) \\ \\ f(x) = 36.... (given) \\ \\ f(7) = f(x) \implies \: x = 7[/tex]

Use multiplication to check your answer in question #3. Show or explain all of your work.
PLZZZZ HELPPP 20 POINTSS

Answers

What is the equation?

Answer:

black

Step-by-step explanation:

What’s the measure of angle X?

Answers

Answer:

x = 84°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

129° is an exterior angle of the triangle, thus

x + 45° = 129° ( subtract 45° from both sides )

x = 84°

The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is

let h be the height of the tree, then

[tex]\frac{h}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5 ( multiply both sides by 7 )

h = 35

The height of the tree is 35 ft

Phil collected data from several of his friends about the number of hours they spent sleeping and the number of hours they spent playing video games on Saturday. He recorded the data in the scatterplot.
The title of the graph is saturday. One axis is labeled hours of video games. The other axis is labeled hours of sleep.

Based on the scatterplot, what is the best prediction of the number of hours one of Phil’s friends spends sleeping when the friend spends 1 hour playing video games?
9 hours
8 hours
10 hours
7 hours

Answers

Tye answer to this problem is 9 hours

Answer:

Step-by-step explanation:

It’s 9

4x+28-12x=32 need it asap​

Answers

Answer: look below.

x = −1/2

Answer

x=-0.5

Step-by-step explanation:

4x-12x=32-28

-8x=4

x=-0.5

The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?

Answers

Answer:

32 Students

Step-by-step explanation:

3/5 = 12/20

This means you add the boys and girls to get 32.

32!!!!!!!!!;!:!!:!!!!
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