Mathematics College

the sum of three times a number and 14 equals the difference of twenty and two times the number.
what is the number?​

Answers

Answer 1

Answer:

3 x n + 14 = 22-n. This is the equation you need

Answer 2

Answer:  The number is 1.2

Step-by-step explanation:

In this situation we will represent the number by x  .  

3 times that number will  give us the expression  3x  and the sum of 3x and 14 will be  3x + 14  

It says that has to equal  the difference between twenty and two times the number which can be represented by the expression,  20 - 2x

3x + 14 = 20 - 2x    Now solve for x to find the number

    -14        -14

3x = 6 - 2x

+2x       +2x

  5x = 6  

x = 1.2

   

Related Questions

a new bank customer with $3,500 wants to open a money market account. the bank is offering a simple interest rate of 1.5%. a. how much interest will the customer earn in 20 years? b. what will the account balance be in 20 years?

Answers

In 20 years, the customer will earn $1050. The account balance at the end of 20 years is $4550.

a) The value of interest will the customer earn in 20 years is, $1,050

b) The account balance be in 20 years is, $4,550

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

A new bank customer with $3,500 wants to open a money market account. the bank is offering a simple interest rate of 1.5%.

Now, We know that;

⇒ Interest = Principal amount × Rate × Time

Substitute all the values, we get;

⇒ Interest = 3,500 × 1.5% × 20

                = 3,500 × 1.5 × 20 / 100

                = $1,050

And, The account balance be in 20 years is,

⇒ $3,500 + $1,050

⇒ $4,550

Learn more about the simple interest visit;

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The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Maggie folded the piece of paper along its diagonal.

Which measurement is closest to the length of the diagonal in inches?


7.6 in

13.8 in.

21.4 in

29.5 in.​

Answers

C

Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2

a = 11.5
b = 18

11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c

c=21.36 in.

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Therefore, the length of the diagonal in inches is 21.36.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches.

Maggie folded the piece of paper along its diagonal.

Use the formula of the Pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

We have

a = 11.5

b = 18

[tex]= 11.5^2 + 18^2\\ \\= 456.25^2[/tex]

[tex]c = \sqrt{(456.25)}\\\\c = 21.36[/tex]

Hence, the length of the diagonal in inches is 21.36.

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the ratio of teachers to students is 1 to 7. if there are 5 teachers, how many students are there?

Answers

there are 35 students..

3/4(12a+8)=34.8 someone please help me solve this

Answers

A = 3.2
Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

3(12a+8)=34.8×4

12a+8=46.4

a=4.5333

plz make me brainliest

Please help!!! 20 POINTS!!

Answers

Answer:

it would be 9 by 6

Step-by-steit would be 9 by 6p explanation:

it would be 9 by 6

What is -4(5 + (-2))

Answers

Answer:

-12

Step-by-step explanation:

5 + -2 = 3

-4 x 3 = -12

Answer:-12

Step-by-step explanation:

One-step multiplication & division equations: fractions & decimals
Solve the equation
= 4.5

Answers

Answer:

[tex]i[/tex] = 13.5

Step-by-step explanation:

Explanation:-

Given that the equation

          [tex]\frac{i}{3} = 4.5[/tex]

cross multiplication, we get

         [tex]i[/tex] = 4.5 × 3

       [tex]i[/tex] = 13.5

please please help

‼️WILL MARK BRAINLIEST‼️

10 Points

Answers

B is the right answer.

a adult giraffe that is 18 ft tall casts a shadow that is 9ft tall. find the length of the shadow that is casts by a 4ft baby elephant. plz help i will give brainliest

Answers

Answer:

The answer is 2ft.

Step-by-step explanation:

The giraffes shadow is half the size of the actual giraffe. Therefore the elephants shadow would only be have of the elephants size, 4/2 = 2.

Which of the following is a polynomial?
A.
(x - 2)
(x++3)
B. +2
х

c. x2-1
D. x + x4 + 16

Answers

Answer:

x++3 is even equal sides

Step-by-step explanation:

In the formula that gives the circumference of a circle, which quantity is multiplied by 21 ?
A. Radius
B. Circumference
c. Diameter
D. Area ​

Answers

Answer:

Radius

Step-by-step explanation:

Long division 5th grade I’m sorry if I’m asking a lot but I’m really new to this

Answers

Answer:

95.2

Step-by-step explanation:

Answer:

95.2

Step-by-step explanation:

476÷5=95.2

[tex]\sqrt[5]{476} }[/tex]

9x5=45

47-45=2

bring down the 6

26

5x5=25

26-25=1

Since the one is excess the answer is 95 and 1/5

but 1 divided by 5 equals .2

so the answer would b 95.2

Help me por favor————-

Answers

Answer:

désolé mais je ne sais pas.

Step-by-step explanation:

A bus traveling from Memphis to Nashville has an average speed of 53 mph. How long will the trip take in hours if the distance between the two cities is 220 miles? ( HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK, DO NOT BOTHER ANSWERING IF YOU DO NOT SHOW WORK AND TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 48.14
B. 22.36
C. 192
D. 4.15
E. .50
F. 0
G. .251
H. 1.25
I. -135

Answers

Answer:

the answer is 4.15.

Step-by-step explanation:

this is super easy my ffriend. think about it. 53 miles per hour. how many miles do u go in an hour... 53 MILES PER HOUR. so you now know you go 53 miles every hour. so what you then do is see that it is 220 miles to ur destination. in an hour you go 53 miles so you take 220 DIVIDED BY 53 and you get ur answer.

Find the circumference and the area of a circle with diameter 3 ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers. ​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

number of
teaspoons
number of
tablespoons
number of
cups
2
36
12
48
3
3

Answers

Answer: 2 each

Step-by-step explanation:

Calculate the mean: $1,001, $68.50, $33.82, $581.95. (Round your answer to the nearest hundredth.)

Answers

Answer:

Step-by-step explanation:

(1001+68.5+33.82+581.95)÷4=400(nearest to hundred)

Eric spent a total of $50.75 at the school bookstore. He bought a calculator for $29.75 and some pens. Each pen cost $1.50. How many pens did Eric buy? Enter your answer in the space provided.​

Answers

Answer:

He bought 14 pens

Step-by-step explanation:

1.50 x 14 = 21 + 29.75= 50.75

3x - 2y = -1
y = -x + 3
Is (1, 2) a solution of the system?
Choose 1 answer:
A
Yes
B
No

Answers

Answer: A, yes

Step-by-step explanation:

13+t/17
A 13+t=17
B 13t+17

Find the value of t that makes the equation true.
t=

Answers

Answer:

the value of t that makes the equation true is 7x

7Ь — 9x + За – 12
Help please

Answers

Answer:

−9x+3a+7b−12

Step-by-step explanation:

Hope this helps

Two radar stations 5.5 miles apart are tracking an airplane. The straight line distance
between station A and the plane is 13.1 miles. The straight line distance between
station B and the plane is 8.1 miles. What is the angle of elevation from station A to the
plane?

Answers

Answer:

19°

Step-by-step explanation:

I have attached an image showing this elevation.

From the image, let's first find the angle A by using cosine rule.

Thus;

8.1² = 5.5² + 13.1² - 2(5.5 × 13.1)cos A

65.61 = 30.25 + 171.61 - 144.1cos A

144.1cos A = 171.61 + 30.25 - 65.61

144.1cosA = 136.25

cosA = 136.25/144.1

cosA = 0.9455

A = cos^(-1) 0.9455

A = 19°

Y!!!!!
Mrs. Boehm's class ordered 16 pans of
brownies. Each student will get 2 À
brownies. Exactly how many students can
Mrs. Boehm feed?

Answers

This would be 7 1/9 or 64/9

What is the median for the set of data?
6, 7, 10,12,12,13

Answers

Sorry but I need more information

-9-2(7-4x)
What is the answer?

Answers

-9-2(7-4x) = 8x-23 !
-9-(14-8x)
-9-14+8x
8x+(-9-14)
=8x-23

Can someone help im not good with ratios.

Answers

Answer:

4:1

Step-by-step explanation:

60/15 simplified 4/1

which expression is equivalent to 8(3z)​

Answers

Answer: 1, 2,4

Step-by-step explanation:

6x1/5 in simplest form it’s for my cousin

Answers

Answer:

6/5 or 1 1/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

6*1/5 = 6/5 is the answer

Which system of equations is graphed below?​

Answers

there is no image attached

what times 4/5 equals 3/10

Answers

Answer:

3/8

Step-by-step explanation:

make equation

x*4/5=3/10

simplify

4/5x=3/10

multiply both sides by 5/4

your answer is 3/8

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