Write an equation for each problem, then solve for x.
A number increased by 8 equals 32. Find the number. ______________________
Four times a number is 48. Find the number. ______________________
Double a number decreased by 18 is 116. Find the number. ______________________
Add twelve to eight times a number and the result is eighty-four. Find the ______________________
number.
Increase my age by eleven years and I become thirty-seven. Find my age. ______________________

7)Solve each of the following word problems.
a) Amber is 7 years younger than her sister Carley. Together their ages total 43 years.
How old are Amber and Carley?
Amber: ___ years old Carley: ___years old

b) Jordan & Nevin have collected 160 buttons. Jordan has 25 buttons more than twice as
many buttons as Nevin. How many buttons do they each have?
Jordan: _____ buttons Nevin: ____ buttons

c) There are three members in the Murphy family. Mom, Dad & Brittany. Dad is 3 years
older than Mom. Brittany is 32 years younger than her Dad. If the sum of their ages is 64,
find the age of each member of the Murphy family.
Mom: _____years old Dad: ____years old Brittany: ____years old

d) The sum of three numbers is 138. The second number is twice the first and the third is 7
less than the second. What are the numbers?
1st #: _____ 2nd: _____ 3rd: _____

Answers

Answer 1
1. x + 8 = 32
Subtract 8 from both sides to isolate x.
x = 24

2. 4y = 48
Divide each side by 4 to isolate y
y = 12

3. 2z - 18 = 116
Add 18 to each side, then divide each side by 2 to isolate z
z = 67

4. 8a + 12 = 84
Subtract 12 from each side and divide each side by 8 to isolate a.
a = 9

5. b + 11 = 37
Subtract 11 from each side to isolate b
Age = 26 years

7.
a. 2x - 7 = 43
Add 7 to each side and divide by two to isolate x.
x = 25
Carley is 25 years old and Amber is 18 years old.

b. x + 2x + 25 = 160
Combine like terms, subtract 25 from each side, and divide each side by 2 to isolate x.
Nevin (x) has collected 45 buttons. Jordan has collected 115 buttons.

c. x + x + 3 + x - 29 = 64
Combine like terms, add 26 to each side, and divide by 3 to isolate the variable.
x = 30
Mom (x) is 30 years old, Dad is 33 years old, and Brittany is one year old.

d. x + 2x + 2x - 7 = 138
Combine like terms, add 7 to each side, and divide by 5 to isolate the variable.
x = 29
29, 58, 51

Related Questions

What do the slope and y-intercept of a real-world linear function represent?

Answers

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

Which coordinate pair is a solution of the linear
equation below?
-x - y = -2
Click on the correct answer
(-8,-10)
(8,10)
(-8,10)

Answers

Answer:

The answer is (-8,10).

Your answer is: (-8,10)

Happy holidays!! :)

6) Which variable equals 55?

7) Which variable equals 101?

Answers

Answer:

5) ?

6) y = 55

7) no variable equals 101 in this triangle

Step-by-step explanation:

5) There was no question for 5

6) This is the answer because:

x = 79: 65+36+x = 180, 101+x = 180, x = 79

z = 144: 180 - 36 = 44

y = 55: 36+79+(y+10) = 180, 115+(y+10) = 180, y+10 = 65, y = 55

Hope this helps!

Can someone help me ASAP

Answers

Answer:

city y is the coldest

Step-by-step explanation:

city x = -35 c

city y = -49 f

city z = -40 f

how you do it,

to get celsius

Fahrenheit degrees minus(-) 32, multiplied by 5, and divided by 9  

to get Fahrenheit

Divide by 5, multiply by nine, add 32

Answer:

-31 F = -35 C

-45 C = -49 F

-40 C = -40 F

City Y is coldest

Fahrenheit to Celsius conversion (°F to °C)

Forty-eight 6th graders bring their lunch to school. This is thirty percent of the 6th-grade class. How many students are in the 6th grade? (number only to the nearest whole)

Answers

Answer:

160 students in the 6th grade.

Step-by-step explanation:

There are 160 students in the 6th grade because if 48 students is 30 percent then 10 percent is 16.  Meaning that 100 percent would be 160.

Students l Percent

--------------l-------------------

48         = l     30

16          = l     10

160        = l     160

^ Hope that makes sense! (tried my best to do a ratio table :/ )

Feel free to ask questions!

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

What is the sum of 1.64 and 0.73?
2.37
O 1.91
O 1.37
O 0.91

Answers

Answer:

2.37

Step-by-step explanation:

evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2

Answers

73^2 = 5329

There's no identity that can be used.

PLS GIVE BRAINLIEST

Eight toy camels and three toy pigs cost Gary $85. Twelve toy camels cost Sherry $96. Assuming everyone bought their toys at the same store and there were no discounts, what is the cost of two toy pigs?

Answers

Answer:

2 toy pigs cost $14

Step-by-step explanation:

If 12 toy camels cost $96, I can solve ($96 / 12 = $8) to find the price of 1 toy camel. Now, I know that 1 toy camel costs $8.

If 8 toy camels and 3 toy pigs cost $85, I can multiply the price of 1 toy camel by 8 and solve ($8 x 8 = $64).

Next, I can subtract Gary's total cost by the toy camels to find how much was spent on 3 toy pigs. ($85 - $64 = $21) Therefore, 3 toy pigs cost $21.

Then, I can solve ($21 / 3 = $7) to find the price of 1 toy pig. Finally, I can multiply ($7 x 2 = $14) to find that 2 toy pigs cost $14.

Answer:

Two toy pigs cost $14.

Step-by-step explanation:

Gary bought 8 toy camels and 3 toy pigs for $85.

Sherry bought 12 toy camels for $96.

Thus, each toy camel cost $96/12=$8

Now we know Gary spent 8*$8= $64 in toy camels.

The rest of the $85, $85 - $64 = $21 was spent on the 3 toy pigs, thus each toy pig cost $21/3=$7

If one toy pig costs $7, two toy pigs cost $14.

tiana has a number, which she calls n. She subtracts 5 and then finds half of then difference.

Answers

Answer:

n-5

 2

Steps:

subtract n ny 5 and then hind half of the difference.

A car travels 61 miles per hour. At this rate, how far will the car travel in 5 hours?​

Answers

Answer:

305 miles per hour

Step-by-step explanation:

61 miles per hour

61(5)= 305 miles/ hour

305 miles travled in the past 5 hours going 61 miles

help memememememe memememememe memememememe memememmeme

Answers

Answer:

43

Step-by-step explanation:

48/(2^3+4)*10.75

48/(8+4)*10.75

48/12*10.75

4*10.75

43

Answer:

It is 43

Step-by-step explanation:

If you had 39/12 dollars, how much money would that be in dollars and cents?

Answers

Answer:

$3.25

Step-by-step explanation:

what you do is divide 39 into 12 and that gives you 3.25 which is the answer!

The diagram shows a triangle.
45°
38°
What is the value of s?

Answers

Answer:

97 degrees

Step-by-step explanation:

If 45 + 38 = 83

A triangle is 180 always

so 180-83=97

can someone please help me really quickly itis due at midnight tonight.​

Answers

Answer:

4 or -4 !

Step-by-step explanation:

edit... isolate the variable, so divide 5 on both sides. then take the absolute value of d which is d. therefore d = 4 or -4! it's both positive and negative because absolute value you set it equal to a positive and negative!

Help please it’s needed

Answers

Answer:

these shapes are congruent, because they have the same shape and the angles are the same

Step-by-step explanation:

follow me

Gaurav takes 15 rounds of a rectangular park whose length is twice its breadth. If the total distance covered by Gaurav is 900m find the length and breadth of the park

Answers

Answer:

length = 20 breadth = 10

Step-by-step explanation:

divide 900 by 15

= 60

60 divided by 6 because the length is twice the breath

60 / 6 is 10

so ten is the breadth of one side and double that is 20 so the length is 20

Hope this helped!

Select the correct answer.
7
3
77
X
A) 363
C) 7
B) 33
D) 77

Answers

Answer:

B) 33

Step-by-step explanation:

Since , both these triangle are similar
Therefore the sides are in the same ratio
This implies , 3/7=x/77
=> x= 3*77/ 7
x= 33
Hope it helps :))

am i the only who thinks this app is kinda addicting? like i’m supposed to be writing an essay rn but i’m too busy scrolling on this app answering questions lol

Answers

Answer:

Yeah same

Step-by-step explanation:

PLS ANSWER
An employee's time at work increased from 32 hours per week to 40 hours per week. By what percentage did the
time at work per week increase?

Answers

25%
If you add 25% to 32 your answer will be 40

Answer:

You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write

(40)/(32)=(x)/(100)

And this means that x = 125

So the ratio of the increase of the new time is 125%

But the real increase is 125 - 100 = 25%

the length of a rectangle is 4 feet longer than its width.its area is 32 square feet.what are its dimensions?

Answers

Answer: Length=8, Width=4

Step-by-step explanation: I did this by trial and error, but you can also use an equation. The length is x+4, the width is x. Your equation would be x(x+4)=32. That is equal to x^2+4x=32. Solve this by completing the square. X^2+4x+ (4/2)^2=32+ (4/2)^2

X^2+4x+4=36. (X+2)(x+2)=36. X+2=6, x=4.

Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

The length of x=3/1

Step-by-step explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

    1/2      = x/6           ∵ sin 30 = 1/2

     1/2 × 6 = x

     6/2 = x

       3/1 = x

Therefore, the length of x=3/1

Select the correct answer.
Which expression is equivalent to the given expression?

PLEASE HELP!!

Answers

The answer would be A because if you combine all the like terms you will get A as a result.

-2x^2+8x-9+4x+7x^2+2
-2x^2+7x^2 combine both of these and it will get you 5x^2
And then you would do 8x+4x which would be 12x and lastly you would -9+2 which would be -7 so the answer is A.

Hope this helps!!

Answer:

A. 5x^2+12x-7

-2 + 7= 5

___________ is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​

Answers

Answer:

stock index

Step-by-step explanation:

Answer:

stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks.​    (Please mark me brainliest)

Step-by-step explanation:

what is 5/7 written as a decimal

Answers

Answer:

0.714285

Continued tho

Step-by-step explanation:

Answer:

0.71428571

Step-by-step explanation:

Vincent purchased a scooter for $124 before tax. The store adds a 7.8% sales tax to every purchase. How much did Vincent pay for the scooter, to the nearest penny?

Answers

Step-by-step explanation:

Original price of the scooter = $124

Sales Tax = 7.8%

Price of the scooter after tax = 124 + 7.8%(124)

= 124 + 7.8/100 x 124

= 124 + 3.9/50 x 124

= 124 + 1.95/25 x 124

= 124 + 0.39/5 x 124

= 124 + 0.39 x 24.8

= 124 + 9.672

= 133.672

Therefore, after tax the scooter will cost $133.672.

The grocery store was having a sale on apples and oranges. Leo bought 20 apples and oranges
(altogether). If the ratio of apples to oranges is 3 apples: 2 oranges, how many of the 20 total were oranges?

Answers

Answer:

4 ORANGES

Step-by-step explanation:

What is the solution to this system of equations?

Answers

It’s B (2,4) because those satisfy both equations when you substitute the values

what is the slope of the line​

Answers

Answer:

-1/2

Step-by-step explanation:

y = -1/2x + 3

Delta y / Delta x

-1/2

Brainliest much appreciated!

can you solve 1 1/2 x 4/5

Answers

Answer:

Fraction : 22/5 Decimal: 4.4

Step-by-step explanation:

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