sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?​

Answers

Answer 1

Answer:

34

Step-by-step explanation:

We can solve this equation by giving Sara's number a variable.

Let it be x.

Then we solve by simply interpreting the problem step by step.

"If you subtract 14 from my number..."

x - 14

"...and multiply the different by -4..."

-4(x-14)

"...the result is -80"

-4(x-14) = -80

Now that we have our equation, we can solve for x.

1.) Use distributive property to expand.

-4x + 56 = -80

2.) Subtract 56 from both sides

-4x = -136

3.) Divide by -4

x = 34

Sara's number is 34

Answer 2

Using distributive property to expand, it is found that Sara's number is; 34

What is distributive property?

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

We need to solve this equation by giving Sara's number a variable.

Let the Sara's number a variable be x.

Then we solve by simply interpreting "If you subtract 14 from my number..." means

x - 14

Then "...and multiply the different by -4..." means -4(x-14)

"...the result is -80"

-4(x-14) = -80

Now that we have our equation,

1.) Use distributive property to expand;

-4x + 56 = -80

Subtract 56 from both sides;

-4x = -136

Now Divide by -4

x = 34

Hence, Sara's number is; 34

Learn more about distributive property here;

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Related Questions

In the equation 4x - 8 = -12, the second step would be to...

Answers

Answer:

4x = -4

Step-by-step explanation:

4x = -12+8

4x = -4

x = -1

Step-by-step explanation:

4x - 8 = -12

4x = 8 - 12

4x = -4

x = (-4)/4

x = -1

w (x) = 2x-4; Find w(0)

Answers

Answer:

  w(0) = -4

Step-by-step explanation:

Put 0 where x is and do the arithmetic.

  w(0) = 2·0 -4

  w(0) = -4 . . . . . . . simplified



If Ray BX bisects ABC and mABX = 5x- 3&mCBX = 2x + 15, find mABC.

Answers

Answer:

8

kjjk

Step-by-step explanation:

jjj


[tex]x { }^{2} < x + 2[/tex]
interval notation​

Answers

This is the correct answer I believe

Pls help Im very stuck on this and don’t understand

Answers

Answer:

C. 85 degrees

Step-by-step explanation:

Step 1: Set up equation

x + 57 + 96 + x = 131

Step 2: Solve for x

2x + 153 = 131

2x = -22

x = -11

Step 3: Find m∠RQU

m∠RQU = 96 + x

m∠RQU = 96 - 11

m∠RQU = 85°

hello I have a question to ask.
A man's age today is three years less than four times the age of his oldest daughter. Let a represent the daughter's age. Write an expression to represent the man's age.​

Answers

let x represent the girls age. let y represent the man’s age.
y=4x-3

What is the sum of the measures of the interior angles of an octagon? Enter your answer in the box.

Answers

So, 360/8 = 45 degrees each time. The internal angle is 180-45=135. And 8*135=1080. The sum of the interior angles of a polygon is (n - 1)180, where n is the number of sides.

The sum of interior angles of an octagon will be 1080°.

We have a Octagon.

We have to find the sum of the measures of the interior angles of a pentagon.

What is Octagon ?

In geometry, a Octagon is a eight - sided polygon.

According to the question, we have - A Octagon.

The formula for finding sum of the measures of the interior angles of a polygon is = ( n - 2) x 180°. The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

For a Octagon - n = 8.

Therefore - the sum of interior angles of an octagon will be -

(8 - 2) x 180

180 x 6

1080°

Hence, the sum of interior angles of an octagon will be 1080°.

To solve more questions on Polygons, visit the link below -

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Write using exponents. Work from left to right on the grid. 6 • 6 • 6
6 * 6 *6 = 6^3.

Answers

Answer:

216

Step-by-step explanation:

Given the question :

6 × 6 × 6

This depicts the product of a certain number in three places

6 × 6 × 6 = 6³

6 * 6 = 36

36 * 6 = 216

Hence, 6³ = 216

20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?

Answers

Answer:

$17

Step-by-step explanation:

Step 1:

20 : 100 = x : 85

Step 2:

100x = 1700

Answer:

x = 17

Hope This Helps :)

Answer:

$100= 20lbs

$1= (20/100)lbs

$85= 85*(20/100)lbs

= 85(1/5)lbs

= 17 lbs

A garden table and a bench cost $755 combined. The garden table costs $95 less than the bench. What is the cost of the bench?

Answers

Answer:

The bench costs $425

Step-by-step explanation:

First lets define our variables:

t = garden table

b = bench

Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.

t + b = 755

t = b - 95

For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:

b - 95 + b = 755

2b - 95 = 755

2b = 850

bench = 425

To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:

t = b - 95

t = 425 - 95

table = 330

I hope this helps!

-TheBusinessMan

y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.​

Answers

Inversely proportional means as one variable increases the other variable decreases.

In this problem, x is doubled which means it's increased, therefore, y is decreased.

7 / 2 = 3.5

The new value of y is 3.5

the value of y is 3.5

Micheala has 5-cent and 10-cent stamps with a total value of $5.75. If she has 5 more 10-cent stamps than 5-cent stamps, how many of each stamp does she have?

Answers

Answer:

Michaela has 5-cent and 10-cent stamps with a total value of $5.75. x=35; There is 35 5-cent stamps. 35+5= 40; There is 40 10-cent stamps.

a.no
b.yes
the question is in the picture ​

Answers

B. yes, it's a function

What is the parent function for y = |x - 41+7?

Answers

Answer: x=34
Explanation :
0=x-34
-x= -34
Answer = x=34
Explanation:-
Y=x-41+7
Y=x-48
X=48

The perimeter of a rectangle is 50 inches.if the width of the rectangle is 5 inches smaller then twice the length,find the AREA of the rectangle in square inches

Answers

Twice it size it’s 10 set 5 x10 to 50

True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement using a direct approach

Answers

Answer:

The statement is true

Step-by-step explanation:

Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)

−2π

Is this rational or irrational

Answers

-2 x 3.14 is Irrational

It is irrational.

π is an irrational number.

It follows that -2π is also irrational number.

solve for y. 3[y-13]=12

Answers

Answer:

y = 17

Step-by-step explanation:

3(y-13)=13

3y-39=12

3y=51

y=17

Answer:

y = 17

Step-by-step explanation:

3[y-13] = 12

3*y + 3*-13 = 12

3y - 39 = 12

3y = 12 + 39

3y = 51

y = 51/3

y = 17

Check:

3[17-13] = 12

3*4 = 12

3. Multiply
(5 points)
O
33
-6
40
O
mo
O

Answers

Answer: -7920

Step-by-step explanation: 33x-6x40= -7920

-7920 is the answer

la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es la edad de beatriz ?

Answers

Answer:

La edad actual de Beatriz es de:

30 años

Step-by-step explanation:

Planteamiento:

5e = 4b

(e+3) + (b+3) = 60

e = edad actual de José

b = edad actual de Beatriz

Desarrollo:

de la segunda ecuación del planteamiento:

e + b + 6 = 60

e + b = 60 - 6

e + b = 54

e = 54 - b

sustituyendo este último valor en la primer ecuación del planteamiento:

5(54-b) = 4b

5*54 + 5*-b = 4b

270 - 5b = 4b

270 = 4b + 5b

270 = 9b

b = 270/9

b = 30

e = 54 - b

e = 54 - 30

e = 24

Comprobación:

5e = 4b

5*24 = 4*30 = 120

A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds after it was hit can be modeled by the function h(t)=40t-16t^2.

Move the number to the blanks to describe the path of the ball.

When the ball is hit at 0 seconds, it has a height of _____ feet. The ball's height increases until it reaches its maximum height of _____ feet after ____ seconds. The ball's height then decreases until it reaches the ground _____ seconds after it was hit.

Fill in the blanks with these numbers: 0, 0.4, 1.25, 2, 2.5, 4, 16, 25, 40

Answers

Answer:

The correct numbers are;

1) 0

2) 25

3) 1.25

4) 2.5

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Step-by-step explanation:

The given equation for the height of the ball, h(t), in feet, is given as follows

h(t) = 40·t - 16·t²

Therefore;

1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet

2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0

Therefore;

h'(t) = 40 - 2 × 16·t = 0

40 - 32·t = 0

t = 40/32 = 5/4 seconds = 1.25 seconds

3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;

h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet

4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;

h(t) = 0 = 40·t - 16·t²

40·t - 16·t² = 0

(40 - 16·t)·t = 0

Therefore;

t = 0 seconds or t = 40/16 = 2.5 seconds

(40 - 16·t) = 0/t = 0

t = 40/16 = 2.5 seconds

Therefore, the filling the blanks with the correct numbers gives;

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Help needed ASAP will give BRAINLIEST

Answers

Answer: 17

Step by Step:
Just need to to divid 170 by 10

Please help!
No wrong/spam answers!

Answers

Answer:

c) 25

Step-by-step explanation:

[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]

Answer:

Spam answer

Step-by-step explanation:

c) 25

9in, BC = 5x , and AD = 53 in

Answers

Answer:

none of them are correct

Step-by-step explanation:

In the adjoining figure, GP bisects angle BGH and HP bisects angle GHD. calculate the size of angle a.​

Answers

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal

Therefore angles BGH and DHG are consecutive interior angles

As we know the sum of consecutive interior angles equals to 180°:

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

- 32x - 40
Whats the first step that I should do

Answers

Answer:

Isolate the x. Secondly, divide by -32 by both sides.

Step-by-step explanation:

Solve for f.
Round your answer to 2 decimals.
9f = {(12f – 2)

Answers

Answer:

f=0.67

Step-by-step explanation:

Let's solve your equation step-by-step by isolating f.

9f=12f−2

Step 1: Subtract 12f from both sides.

9f−12f=12f−2−12f

You get:

−3f=−2

Step 2: Divide both sides by -3.

−3f/−3 = −2/−3

You get:

f= 2/3, or f= 0.67

Hope this helps! :)

Evaluate each expression.
6! =
3! - 2! =
6!/3!=

Answers

Answer:

I hope it will help you :)

Answer:

6! = 720

3! - 2! = 12

6!/3!= 120

Step-by-step explanation:

just finished the assignment.

Can someone explain what the answer is to this and how? Thank u!!!

Answers

The answer is D.
You cannot factorise it as there are two different terms being squared with the middle term containing both. Also, if you expand any of the brackets in the questions you will not get the original equation so non of them are right so it has to be D. :)

Give all answers in standard form.
(3 x 10”) x (2 x 10)

Answers

Answer:

[tex]6 \times {10}^{2} [/tex]

Step-by-step explanation:

[tex](3 \times 10) \times (2 \times 10) \\ 30 \times 20 \\ = 600 \\ = 6 \times {10}^{2} [/tex]

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