Solve the absolute inequality: |4x-5| >3

Answer:   The number is -20

Step-by-step explanation:

Take each part of the sentence and write what it is telling us:

3 less than the quotient of a number and 5 is -7

The quotient of a number and 5 is (X/5), where X is the "number."

3 less than  is (X/5) - 3

is -7  is = -7

Therefore:

3 less than the quotient of a number and 5 is -7 is:  (X/5) - 3 = -7

---

(X/5) - 3 = -7

(X/5)  = -4

X = -20

===

See if this works:

3 less than the quotient of -20 and 5 is -7

(-20/5) = -4

Three kless than -4 is -7:  It works

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Step-by-step explanation:

a full circle (turning around a point a full turn) is 360°.

so, all these angles together must be 360°.

90 + 33 + 165 + 20 + x = 360

308 + x = 360

x = 52°

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

1. she makes a profit

2.300$

3.25%

C.

1.3000$

2.9000$

ok done. Thank to me :>

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

The triangles are not congruent.

Option A is correct.

Answer:

4in

Step-by-step explanation:

The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.

Perimeter of rectangle ABCD = 24 inch

Perimeter of rectangle EFGH = 48 inch

The ratio of perimeters of rectangle ABCD to EFGH will be :

= 24 : 48

= 1 : 2

It is also given that the width of rectangle ABCD is 2 inch.

Perimeter of triangle ABCD is :

P = 2 ( L + B )

24 = 2 ( L + 2)

L + 2 = 12

L = 10 inch

The area of rectangle ABCD will be :

= 10 × 2

= 20 inch²

As the perimeters of ABCD and EFGH are in ratio 1 : 2.

The area of rectangle EFGH will be :

= 20 × 2

= 40 inch ²

Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

Learn more about area of rectangle here :

https://brainly.com/question/25292087

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Answer:

It's the first one. Why?

I converted all the mixed fraction into simplified form.

3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] +  [tex]\frac{5}{7}[/tex]

I divided the denominator of 11/3 by 42. 42/3=14

and 5/7. 42/7, which is 6.

So I concluded the first answer was right because it didn't work out for the other variables.

I hope the answer was right, and I hope you have a great day luv. Bye!

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

Answer:

0.111

Step-by-step explanation:

1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.

Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

Answer:

A and C

Step-by-step explanation:

A. The prediction is reasonable.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

__________________________________________________________

Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.

Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

Answer:

3. sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational. It depends on the two given numbers.

Answer:

C

Step-by-step explanation:

Hope it can help you lovelots

If 7 > 2, then explain why -7 < -2.

Answer =》C. Because -7 is more negative and further to the left on the numberline than

-2.

______

RainbowSalt2222 ☔

Step-by-step explanation:

angle 1 = 73°

angle 2 = 107°

angle 3 = 73°

angle 4 = 107°

angle 5 = 73°.

hope this helps you.

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

Read more about Unit Rate at; https://brainly.com/question/19493296

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

Answer:

[tex]f(-2)=-17[/tex]

Step-by-step explanation:

[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]

f(x) = 2x² - 15

f(-2) = ?

Substitute -2 in the place of x.

f(x) = 2x² - 15

f(-2) = 2(-2)² - 15

f(-2) = 8 - 15

f(-2) = -7

______

Hope it helps :)) ⚜

Answer:

  yes

Step-by-step explanation:

The root of the given linear equation can be made to be a repeated root of a quadratic equation:

  (8x -1)² = 0