Mathematics College

The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.

Answers

Answer 1

9514 1404 393

Answer:

8, 13

Step-by-step explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

x + y = 21 . . . . . their sum is 21

y = 4x -19 . . . . .one is 19 less than 4 times the other

Substituting for y in the first equation, we get ...

x + (4x -19) = 21

5x = 40 . . . . . . . . . add 19

x = 8 . . . . . . . . . . . divide by 5

y = 4(8) -19 = 13

The two numbers are 8 and 13.

The Sum Of Two Numbers Is Twenty-one. One Number Is Nineteen Less Than Four Times The Other. Find The

Related Questions

MARKING BRAINLIEST AND GIVING LOTS OF POINTS TRIPLE PLEASE ANSWERS ASAP!!!’

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found this online, hope it helps !!

Use the drop-down menu to write the rule to fit the pattern for this table.

Does anyone know this one ?

Answers

Answer:

5 times

Step-by-step explanation:

5*0=5... 5*1=5... 5*2=10... 5*3=15... 5*4=20

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.

13 13 13 20 26 26 29 31 34 34 35 35 36 37 38
41 41 41 42 43 46 47 48 49 53 55 56 62 67 82

Required:
a. Determine the first and third quartiles.
b. Determine the second decile and the eighth decile.

Answers

Answer:

The answer is below

Step-by-step explanation:

When computing quartile and decile, the data must be arranged in ascending order.

Given the data points:

13 13 13 20 26 26 29 31 34 34 35 35 36 37 38 41 41 41 42 43 46 47 48 49 53 55 56 62 67 82

The numbers are arranged in ascending order. The total number of terms is 30.

[tex]First \ quartile(Q_1)=\frac{1}{4}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\Q_1=\frac{1}{4}(30+1)=7.75^{th}\ term=average\ of\ 7th\ and\ 8th\ term=\frac{29+31}{2} =30\\\\Q_1=30\\\\Third \ quartile(Q_3)=\frac{3}{4}(n+1)^{th}\ term\\\\Q_3=\frac{3}{4}(30+1)=23.25^{th}\ term=average\ of\ 23rd\ and\ 24th\ term=\frac{48+49}{2} =48.5\\\\Q_3=48.5[/tex]

[tex]Second \ decile(D_2)=\frac{2}{10}(n+1)^{th}\ term\\\\where\ n=number\ of\ terms. Hence:\\\\D_2=\frac{2}{10}(30+1)=6.2^{th}\ term=average\ of\ 6th\ and\ 7th\ term=\frac{26+29}{2} =27.5\\\\D_2=27.5\\\\\\Eight \ decile(D_8)=\frac{8}{10}(n+1)^{th}\ term=\frac{8}{10}(30+1)=24.8^{th}\ term\\=average\ of\ 24th\ and\ 25th\ term=\frac{49+53}{2} =51\\\\D_8=51[/tex]

What is the fraction 7/12 as a product of a whole number and a unit fraction

Answers

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

1 pt
1. If your job pays you $ 60,000 annually. What is your monthly salary to the nearest cent?
Since you need the monthly salary, and you are given the annual salary, use the formula
Monthly Salary = Annual Salary/12 since there are 12 months in a year ( 1 point)
O $5,000
$2,500
O $8.70
on
O None are Correct

Solve for a.
12 =-2a + 6

Answers

Answer:

a=-3

Step-by-step explanation:

First, subtract 6 from both sides

6=-2a

divide -2 from both sides

-3=a

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

32 units²

Step-by-step explanation:

this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length

formula is: 1/2(height) x (sum of bases)

A = 1/2(4)(4 + 12)

A = 2(16)

A = 32

It’s 32 because 4 x4 is 16, we just answer the square part. Now we are moving on to the triangles on the side. 4 x4 is 16 /2 is 8 then time eight by two bc their are two triangles. So 16 plus 16 is 32

what is 452÷6 in long division

Answers

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

6 ⟌ 4 5 2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

6 ⟌ 4 5 2

- 0

Step 5:

Move down the 2nd digit of the dividend (5) like this:

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

2 Remainder

Mark as brainlist

what is the surface area of this shape?

Answers

Answer:

135.42 yd²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + PH

Where,

Triangular base area (BA) = ½bh = ½*4*3 = 6 yd²

Perimeter of triangular base (P) = 4 + 3.61 + 3.61 = 11.22 yd

Height of prism (H) = 11 yd

Surface area = 2(6) + 11.22 × 11

= 12 + 123.42

Surface area = 135.42 yd²

What is the value of x?
Enter your answer in the box.

Answers

Answer:

136

Step-by-step explanation:

68 * 2 = 136

f(x)= 2/x-2 find (fof) (i)

Answers

Answer:

Step-by-step explanation:

cant see pic

Need help! What are the coordinates of point P?

Answers

Answer:

the first circle.

Step-by-step explanation:

please mark brainliest of answers correct. have a nice day!

Answer:

A) -4,3

Step-by-step explanation:

Need help with math points and brainlest

Answers

Answer:

Given J(x-8) and k(-1,-5) and the graph of line below find the value x so that jk

Answers

Where’s the graph of the line?

Answer:

x=10

Step-by-step explanation:

4√6 X 2√2

4√3
16√3
32√3
8√12

Answers

Answer:

Step-by-step explanation:

4√6 X 2√2 4√3 16√3 32√3 8√12

Answer: 16√3

Step-by-step explanation:

(-13) + (-14)+6
explain

Answers

Answer:

Step-by-step explanation:

-13)+(-14)= -27

-27+6= -21

A triangle with the angle
72°, 48°and 60°
Determine if the following statement are possible or impossible

Answers

Answer : It is possible to form a triangle

Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.

Please help! (the question is on the screenshot) Help ASAP Ty!

Answers

Answer:

Step-by-step explanation:

because if you do rise over run you get 4/3. you also need to remember to go to the points where there's a straight line

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[tex]- Yaoii[/tex]

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