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

HELP MEEEEEEENJEJAHAHAAUUA

Answers

I think the awnser should be the very first one

Please help I need by Tomorrow!

Answers

Answer:

[tex]f(a) = 5a + 1[/tex]

[tex]f(a + h) = 5a + 5h +1[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x + 1[/tex]

Solving (a): f(a)

Substitute a for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a) = 5a + 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a + h) = 5(a + h) +1[/tex]

Open bracket

[tex]f(a + h) = 5a + 5h +1[/tex]

Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]

In (a):

[tex]f(a) = 5a + 1[/tex]

In (b):

[tex]f(a + h) = 5a + 5h +1[/tex]

So:

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]

Open bracket

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]

Collect Like Terms

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

If 2/3n = -6, then 1/3n =

Answers

Then 1/3 equals -3 because half of 2 is one

5 2/3 divided by 3/2

Answers

Answer:

(5 2/3)/(3/2)

17/2×2/3

17/3

or

5 2/3

Pls answer whoever answer right first will g Brainlyiest

Answers

Answer:

D the last one

Step-by-step explanation:

A group of 24 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip. Find the number of possibilities.

Answers

Answer:there are 3 groups so yea

Step-by-step explanation:

18 times 3 is 24 so there will have to be 3 elevators

3 ^]^b do yeah and haha I jagged s s

Factor 4x+16y using the gcf

Answers

The answer is 2(2x+8y)
2 x 2x=4x
2 x 8y=16y

5.2÷____= 0.052 please help meh :(

Answers

Answer:

The answer is 0.01 because 0.052=520   0.052 divided by 5.2=0.01

Step-by-step explanation:

The cook took out 54.8 grams of butter, she then found out that she took out 6.9 grams of butter more than she need. How much butter did she need?

Answers

The cool needed 47.9 grams of butter

Identify the solution to the system of equations
4x-y=7
-12x+3y=-21

Answers

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

PLEASE HELP WILL GIVE BRAINLIEST

Segment AB has been dilated about point Q. What is the scale factor?​

Answers

The scale factor would be 1.25 because each segment is the same in this triangle

Jack's Plumbing charges customers $100 per hour for repair jobs. A-1 Plumbing charges according to
the equation y = 75x + 50, where x = time in hours and y = cost in dollars.
Explain why A-1 Plumbing charges less than Jack's Plumbing for a 4-hour repair job.
Does A-1 Plumbing charge less than Jack's Plumbing for all repair jobs? Explain why or why not.

PLEASE HELPP

Answers

Answer:

37/3

Step-by-step explanation:

how many times does 9 go into 12?

Answers

Answer:

one time.

Step-by-step explanation:

On her math exam, Alicia answered 25 questions correctly and 5 questions incorrectly. Which of the following represents the ratio of the total number of questions to incorrect answers?
Select the four correct choices below.
30:5
30/5
5 to 25
5/25
6:1
6/1

Answers

Answer: 30:5 & 6:1

Step-by-step explanation:

30/5 = 6

5/5 = 1

Find the height of the triangle if the area is 36 m 2

Answers

Answer:

Area=1/2bh

Given area of 36m^2

1/2(x)(x-1)=36

Multiply both sides by 2 to remove deminator

(x)(x-1)=72

X^2-x=72

X^2-x-72=0 then factor

(x-9)(x+8)=0

X=9,-8 however since area must be positive, take the absolute value of 8

1/2(9m*8m)=36m^2

1,2,3,5
_ _ _ _
6,7,4,8
Which of the following is NOT the numerator
of a fraction listed above?
(A) 2
(B) 3
(C) 4
(D) 5

Answers

4 is not a numerator up there I believeee
I think it’s 4. Don’t mind me I’m just trying to get 30 words

The ratio of boys to girls is 5 to 7 there are 45 boys in the school play how many girls are in the play

Answers

Answer:

63 girls.

Step-by-step explanation:

45 boys divided by 5= 9

9x7= 63 girls

A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)

Answers

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

Additional comment

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

A model chair has been designed using a scale 1 inch : 5 inches. The height of the
model chair is 4 inches in length. What would be the actual height of the chair?

Answers

Answer:

20 Inches is the actual height

Step-by-step explanation:

Okay so it means 1 inch = 5 inches. There are 4 inches. 4 x 5 = 20.

i need helppp could you help please pl,s pls pls pls pls pls plks pls pls pls pls pls pls

Answers

Answer:(-4,6)

Step-by-step explanation:

you go down four then over six and you find the letter F

Answer:

(6, -4)

Step-by-step explanation:

x axis is before the y axis

Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3

Answers

Answer:

C. 5 divided by 2/3

D. 15/2

E. 3/2 X 5  

hope this helps

Step-by-step explanation:

what is 250,000 divided by 12

Answers

Answer:

20833.3

Step-by-step explanation:

Answer:

tthe answer is. 20833.3

Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.



HERES THE CPI CHART FOR IT

Answers

Answer:

wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.

HERES THE CPI CHART FOR IT

Step-by-step explanation:

with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been

what is the answer I need it urgently ​

Answers

it’s is 0.............

HELP PLS IM CRYING I NEED IT PLSS ANSWER IT PLSSSSS

Answers

Answer:

C) 4k-24

A)10x+15x

Step-by-step explanation:

Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?

Answers

7. 35
Miles per hour

y = -2x + 2 y = 5x + 9​

Answers

X=-1 y=4 hope it helps

Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Answers

Answer:

A. -16

Step-by-step explanation:

Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].

We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.

The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
expected population in 2022?

Answers

Answer:

96320

Step-by-step explanation:

The population of Buhlerville will be 96320

Pat collected 54 cans of food for a food drive. This is 6 times as many cans
as Anne collected. How many cans did Anne collect? Select the correct
solution method below, using x to represent the number of cans Anne
collected

Answers

Answer:

54/6= X

54/6= 9

54 divided by 6 equals X

X = 9

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