Mathematics College

There are two numbers which sum to 16. If one number is eight less than three times the other, find the numbers.

Answers

Answer 1

Answer:

The two numbers are 10 and 6.

Step-by-step explanation:

Let the two numbers be a and b respectively.

Translating the word problem into an algebraic equation, we have;

a + b = 16 .........equation 1

a = 3b - 8 .......equation 2

Substituting eqn 1 into eqn 2, we have

3b - 8 + b = 16

4b = 16 + 8

4b = 24

b = 24/4

b = 6

To find the value of a;

a = 3b - 8

a = 3(6) - 8

a = 18 - 8

a = 10

Therefore, the two numbers are 10 and 6.

Related Questions

Please help me pleaseeeee

Answers

Answer:

Step-by-step explanation:

Answer:

tangent; inverse; 28.6

Step-by-step explanation:

You have given two legs;

You would use the inverse function, you are not given an angle;

g is about 28.61 degrees

solve for f(-1), f(x)=-3+3, f(-1)=?

Answers

Answer:

0

Step-by-step explanation:

Select all expressions that are equivalent to -4(x+2)-2x+4

Answers

-4x-8-2x-4. -6+12 I am really sure of this

-6x-4 is the expression which is equivalent to  -4(x+2)-2x+4

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  -4(x+2)-2x+4

Minus four times of x plus two minus two times of x plus four

x is the variable

Plus and minus are operators

We have to find the equivalent expression of -4(x+2)-2x+4

Apply the distributive property

-4x-8-2x+4

Combine the like terms

-6x-4

Hence, -6x-4 is the expression which is equivalent to  -4(x+2)-2x+4

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Determine the distance between -10 and 5. HELP

Answers

Answer: 15

Step-by-step explanation: Good luck! :D

15, I hope this helps

PLS HELP WILL GIVE MANY POINTS

Answers

Answer:

There is a site where you can look these up, Try to look it up on the internet heres some sites, For Homework: slader

math -

way

explanation:

I cannot read the images clearly

Write an equivalent algebraic equation for the sentence below.

The difference of x and 7 is 13

Answers

Answer:

x-7=13

Step-by-step explanation:

x-7= 13

hope that helps

In ΔFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of ∠F to the nearest degree.

Answers

Answer:

74  

Step-by-step explanation:

The measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

What is the law of cosine?

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

In the triangle FGH the measure of the line segment f is 60 centimeter, the measure of the line segment g is 10 cm and the measure of the line segment h is 62 centimeters.

The measure of the angle ∠F has to be find out. To find the value of angle F where side f is 60 cm. Thus, put the values of the all the sides in the above formula as,

[tex]60^2=10^2+62^2-2(10)(62)\cos (F)\\3600=100+3844-1240\cos (F)\\ F=\cos^{-1}(0.27742)\\F\cong74^o[/tex]

Hence, the measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

Learn more about the law of cosine here;

https://brainly.com/question/4372174

Is this expression equivalent to 1.5?

0.15 / 10

(0.15 divided by 10)

Answers

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

Item 20 Two groups leave on different flights from the same airport. Group A flies 130 miles due west, then turns 24° toward north and flies 45 miles. Group B flies 130 miles due north, then turns 32° toward east and flies 45 miles. Which group is farther from the airport?

Answers

Answer:

Group A

Step-by-step explanation:

Since in total they moved the same amount of miles then the one with the least turnback (angle in this case) would be farther

Round 199,609 to the nearest thousand.

Answers

Answer:

200,000

Step-by-step explanation:

have a good day! ;-)

Answer:

199,609,000

Step-by-step explanation:

Hope this helps!!!

This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?

Answers

Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

367589+667556755788654578645

Answers

Answer: 667556755788655000000

Step-by-step explanation: braniliest pls

{-(-3)x12x(4 - 68 -- 4)} + (2 – 1)
​

Answers

Answer:

numbers dont do into math please move this to English

Step-by-step explanation:

it posted worng

Can someone help me with this?

Answers

D

Hope this helps!!!!!

Answer:

B

Step-by-step explanation:

A function of x containing four ordered pairs of the form (x, y) is shown below.
у
3
0
5
2
7
4
9
6
What is the range of the function?
A {3, 2, 4, 6}
B {0, 3, 5, 7}
C {0, 2, 4, 6}
D {3, 5, 7, 9}

Answers

I think the answer is jumber B

Select the correct answer. Which number has a repeating decimal form? A. B. C. D.

Answers

Answer:

0.1727

Step-by-step explanation:

this is the correct answer because g00gle is a thing

Deandre knit a scarf for each of his 8 friends. Each scarf was 57.6in
long. What was the total length of all of the scarves put together? Write your answer in feet.

Answers

multiply 57.6 x 8 = 460. 8 and since you have to convert it to feet you divide by 12 which gets you 38.4 feet

Does this expression represent the sum 13.76 + 2.8?

1 ten + 6 ones + 5 tenths + 6 hundredths

Answers

Answer:

True

Step-by-step explanation:

it all equals the same

Answer:

yes

Step-by-step explanation:

yes

30÷11
[tex]30 + 1[/tex]
​

Answers

30/11= 2.72....(repeating)

30+1= 31

if that’s what you’re asking?

help me guys. NO spam or report

Answers

Answer:

Take the root of both sides and solve.

Exact Form:

A =[tex]\sqrt[3]{50}[/tex]

Step-by-step explanation:

[(-5 + 1)21-17
Help hurry I have a exam in 5 min please

Answers

Answer:

-101

Step-by-step explanation:

(-5 + 1)21-17

(-4)21-17

-84-17

-101

the answer is -101 , you need to evaluate it

$1900 at 9 for 2 years

Answers

Answer:

$342

Step-by-step explanation:

Complete question

Find the simple interest on $1900 at 9% for 2 years.

Simple interest PRT/100

Given

Principal P = 1900

Rate R = 9%

Time T = 2years

Substitute

Simple interest = 1900*9*2/100

Simple interest  = 19*18

Simple interest  = $342

Hence the simple interest on $1900 at 9% for 2 years is $342

helpppppppp meeeeeee​

Answers

Answer:

no ablo en inglés por q no soy loca

how do i do this? and what’s the answer?

Answers

This is a parallelogram, and the answer is 8.04

What is 45.56 rounded to the tenths place?

Answers

Answer:

45.6

Step-by-step explanation:

Answer:

45.6

Step-by-step explanation:

6 is greater than 5 so it rounds up

what does x equal 7(2x+5)=4x -9 -x
PLEASEEEE HELPPPP ME

Answers

Answer: x=-4

Step-by-step explanation:

Given

7(2x+5)=4x-9-x

Expand parenthesis

14x+35=4x-9-x

Combine like terms

14x+35=3x-9

Subtract 35 on both sides

14x+35-35=3x-9-35

14x=3x-44

Subtract 3x on both sides

14x-3x=3x-44-3x

11x=-44

Divide 11 on both sides

11x/11=-44/11

x=-4

Hope this helps!! :)

Please let me know if you have any questions

Name the quadrant or axis where each point lies.

Answers

Point A is in Quadrant I where the x and y are both positive.

Point B lies in between Quadrants II and III. Or it lies on the x-axis (If this is an option).

Answer:

Point A: Quadrant 1

Point B: Either Quadrant 2 or 3

Step-by-step explanation:

Quadrant 1 is positive x and y

Quadrant 2 is positive y and negative x

Quadrant 3 is negative x and y

Quadrant 4 is negative y and positive x

Point A is both positive x and y

Point B has a y=0 and negative x, so it is between Quadrants 2 and 3

(hope this helps :P)

Use the figure below to answer the questions.

Answers

1. false
2. false
3. true
4. true
5. false
6. true

Suzie is measuring furniture for her bedroom. She does not have a tape measure or a ruler. Instead, she uses her book. She knows that the length of her book is 8 inches.

Answers

Answer:

book x 8

Step-by-step explanation:

A taxi service charges $4.50 to pick someone up and then $0.75 per mile during the ride.

Part A. Write an expression that can be used to find the cost of a taxi ride for any number of miles, m.

Part B. What is the cost of a taxi ride that is 5 miles long?

Enter the correct answers in the boxes.

Answers

Part A : y=$0.75m+$4.50
Part B : $8.25
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