The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.

Answers

Answer 1

Answer: 12 and -4

Step-by-step explanation:

Assume the larger number is x and the smaller one is y.

In that case the relevant simultaneous equations are:

x + y = 8

2x + 4y = 8

Use substitution to find relative value of y:

x + y = 8

y = 8 - x

Use to solve equation:

2x + 4y = 8

2x + 4(8 - x) = 8

2x + 32 - 4x = 8

2x  - 4x= 8 - 32

-2x = -24

x = -24 / -2

x = 12

y = 8 - x

= 8 - 12

= -4


Related Questions

1. What is the solution to the inequality 10x > 140? Show your work
A. X > 14
C. x > 130
B. x < 14
D x <130
I

Answers

Answer: A. X > 14

Step-by-step explanation:

1. 10x > 140. We need to eliminate that 10 so it is just X. So, we divide both numbers.

2. 10 / 10 = 1, so it just becomes x

3. Now, we divide the other side.

140 / 10 = 14

hope that helps!

The graphs below were created by an advertising agency for the computer store TechPlus to show its average price on laptops and desktops compared to another computer store's prices.


Which of the following statements best explains how the advertising agency misrepresented the data?


The graphs use different scales, making it appear that the prices at TechPlus are much lower than CompStar.


The graphs were created with different colors.


The graph for CompStar makes its prices appear much higher, but its prices are only a little higher.


The graphs do not include tablet computers, so there is not enough information to compare their prices.

Answers

The misrepresentation lies in the fact that ; The graphs use different scales, making it appear that the prices at TechPlus are much lower than CompStar.

Taking a look at both graphs, it could be observed on the y - axis that the graphs do not follow the same scale.

For CompStar, the y-axis which shows the price of laptops and desktops starts it's labeling from $0 ; while TechPlus's labeling began from $600

This representation means that comparing the two graphs would give an erroneous inference as it would make the price of TechPlus appear lower than that of Complus.

Learn more : https://brainly.com/question/1370154?referrer=searchResults

I need help with this guys. Name the measures of the missing angles?

Answers

Answe:
1 = 52°
2= 52°
3= 128°
4= 52°
5= 128°
6= 52°
7= 128°

I would appreciate brainliest if this was helpful! :)
1.52
2.52
3. 128
4.52
6.52
5. 128
7.128

Draw the graph of the equation
g(x) = -3x +2.
You can refer to the section "Drawing Graphs in Mobius" in the unit "Introduction to
Mobius" for
practice in drawing graphs of lines in Mobius.
Part a: Find one point on the line. Often it's smart to start with the value x = 0 because multiplying by
and adding 0 are easy. In other words, find the y-intercept.
The point (0, Number ) is on the line g(x) = -3x + 2.
Part b: Find a second point on the line. Often it's easier to continue with the value x = 1 as multiplying
by and adding 1 are pretty easy.
The point (1, Number ) is on the line g(x) = -3x +2.

Answers

Use DESMOS to graph any function online.

The picture shows the graph of g(x) = -3x + 2.

Today, the price of a new cell phone is $129.
In 2000, the price of a similar cell phone was $240.
What is the percent of change in the price of a cell phone from 2000 to today? Round to the nearest whole percent.

Answers

Answer:

54%

Step-by-step explanation:

129/240 =  0.5375  (divided to find the % change)

0.5375 * 100 (to convert decimal to percent form)

53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)

What is the perimeter of an octagon if each side is 7 inches in length?

Answers

Answer:

an octagon has 8 sides

8 x 7 = 49 inches

Step-by-step explanation:

8 sides or inches ... ps I’m just guessing I’m not 100% sure

given the number 48 increase the number by the ratio 2 :8​

Answers

Answer:

192

Step-by-step explanation:

look at the given picture

CAN ANYBODY PLSSSSSS HELP MEEE REAWARD BRAINLIEST

Answers

Answer:

Option C

1.62 and -0.62

Step-by-step explanation:

v² - v - 1 = 0

From ax² + bx + c = 0

a = 1 b = -1 c = -1

Quadratic formula

x = -b +/- √b² - 4ac

--------------------------

2a

x = -(-1) +/- √-1² - 4 x 1 x -1

-----------------------------------

2(1)

x = 1 +/- √1 +4

-----------------

2

x = 1 +/- √5/2

x = 1 + √5/2 or x = 1 - √5/2

x = 1.618 or -0.618

2x2 what is the answer

Answers

Answer:

4!

Step-by-step explanation:

What is the solution of the system of equations?
y=2x-3
5x +y = 11

Answers

Answer:

(2,1)

x=2  y=1

Step-by-step explanation:

(2,1)
Step by step answer
x=2 y=1

1,453ft 9in + 5ft 6in=
help asap

Answers

Answer:

1 459.25 feet (1459 feet 3 inches)

A triangular prism is 40 feet long and has a triangular face with a base of 24 feet and a height of 35 feet. The other two sides of the triangle are each 37 feet. What is the surface area of the triangular prism?

Answers

Answer:

4406.08 ft

Step-by-step explanation:

What is the side lengths, in inches, of a cube with a volume of
1
1 cubic inch?

Answers

Answer:

1 in3 (3 is above inches)

Step-by-step explanation:

can I please have brainliest? :)

find the value of given expression

[tex] \sqrt{31 \times 31} [/tex]

Answers

Answer:

31 is the answers for the question

Step-by-step explanation:

please give me brainlest

Answer:

[tex]\sqrt{31\times31}[/tex]

Multiply 31 × 31= 961

[tex]961=31^2[/tex]

[tex]=\sqrt{31^2}[/tex]

[tex]=31[/tex]

OAmalOHopeO

what is the measure of angle x?

Answers

Answer:

C

Step-by-step explanation:

first we want to find the missing angle at the top

to do that we subtract the given angles by 180

the square indicates that the angle is a right angle or that it equals 90

180-90-40=50

we know that the angle equal to 50 and x are supplementary angles so they will add up to equal 180 so to find x we subtract 50 from 180

180-50-130 so the answer is c

have a great day :D

Question 4 please. I will mark brainliest!! i would at least like the equation of the graph thank you

Answers

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c.  (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0  when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

Decrease R1400 in the Ratio 7:3​

Answers

Answer:

Step-by-step explanation:

It's hard to tell what you mean. I'm going to assume you mean that you want what is left to be 3/7 less.

1400 - 3/7 1400 = 1400 - 600 = 800

The value of R1400 when decreased by the ratio 7:3 is  R600.

What is the value of R1400 when it is decreased?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.

R1400 X 3/7 = R600

To learn more about ratios, please check: https://brainly.com/question/25927869

Find the percent of change from 160 cups to 404 cups.

Answers

Answer:

the answer to that question is 152.5%

Step by Step Explanation:

(404 - 160)/|160| =

244/160 =

244 ÷ 160 =

244 ÷ 160 × 100/100 =

(244 × 100 ÷ 160)/100 =

(24,400 ÷ 160)/100 =

152.5/100 =

152.5%

Tina charges $94.50 for a job. How long did she babysit for?

Answers

this doesn't make sense


[tex]n - 12 = 3n[/tex]
please I need help​

Answers

Answer:

n = -6

Step-by-step explanation:

n -12 = 3n

2n = -12

n = -6

Answer:

n=-6

Step-by-step explanation:

So first, you should subtract n from both sides to isolate the number -12. This will make the equation look like 2n=-12. Divide both sides by 2 because you want n to be by itself. This will give you the answer n=-6

Hope this helps

This is the last question until spring break. You can answer with A or B, Both, or neither :)

Answers

Answer:

both

Step-by-step explanation:

plsssssssss help me ill gibe you brainlest

Answers

Answer:

B

Step-by-step explanation:

Pennsylvania has a sales tax of 6%. The city of Philadelphia adds an extra local sales tax of 2%. Both taxes apply to the original price of an item. If the shelf price of a bottle of sports drink is $2 in Philadelphia, PA, which expressions can be used to show the total taxes you would expect to pay?

Answers

Answer:

For the regular tax in Pennsylvania, it would be 12 cents or $0.12. For Philadelphia, it would be 4 cents or $0.04. I got these two amounts by multiplying 2 times 6 or 2 percent, aka 0.06 and 0.02. If you added the two together, you would get, $0.16 or 16 cents. You would then add that to the two dollars and end up with $2.16 or two dollars and sixteen cents. I hope this helps.

Step-by-step explanation:

Solve the equation (1/3)^x+1 = (1/9)^x+3

Answers

Answer:1

Step-by-step explanation:

Answer:

its -5,

x=-5

Don't listen to the other guy who said "1"

Step-by-step explanation:

Which lines are parallel?

Answers

Answer:

C)?

Step-by-step explanation:

D because the slope of C is not the same and B is negative

3y^4+9y^3-120y^2=0 Need Answer ASAP

Answers

Answer:

y  =  0 ,  5 ,  − 8

(* ̄3 ̄)╭

[tex]3y^4+9y^3-120y^2=0\\y=0,5,8[/tex]

Help for a free 20pts.
No links please. Just answer the question and take the points.
(Btw if number 7 is wrong correct it for me and I'll make you brainliest)

Answers

Answer:

Okay, so I checked on my calculator, and 5,6, and 7 are right

Step-by-step explanation:

Number 8 would be 45 degrees.  Both of the missing angles would be 45 degrees

Those two lines on either side of the triangle mean both of the angles are the same.

It would be 45° because if you subtract 90 from 180 you get 90 and then divide that by 2 and you get 45

Simply the expression 6x + 1 - ( 3x -1 )

Answers

Answer:

3x+2

Step-by-step explanation:

distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2

find the value of x. Round the length to the nearest tenth.

Answers

Answer:

Consider the given right triangle. We have to find the value of 'x'. So, the value of 'x' is 9.2 cm. Option 3 is the correct answer.

Step-by-step explanation:

Can You pls Help me
Every question counts

Answers

Answer:

a) 50 degrees

b) 130 degrees

c) 50 degrees

d) 130 degrees

e) 50 degrees

f) 130 degrees

Step-by-step explanation:

Tell me if you need explanation

Answer:

Step-by-step explanation:

<1=180-130=50

<5=130

<6=180-130=50

<7=130

<4=<1=50

<3=130

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