4х + 3y = 12
х = 5y - 20


Solve the system by substitution

Answers

Answer 1

Answer:

y=4 and x=0

Step-by-step explanation:

4(5y-20)+3y=12

20y-80+3y=12

23y-80=12

23y=92

y=4

Substitute y as 4 to get x.

Answer 2

Answer:

y=4

x=0

Step-by-step explanation:

4x + 3y = 12

X - 5y =-20

Multiply second equation by 4

4x + 3y = 12

4x - 20y = - 80

Subtract

23y = 92

y = 92/23

y =4

Put the value in first equation

4x + 12 =12

So 4x = 0

Therefore x= 0


Related Questions

Please help me I appreciate it

Answers

Answer:

m∠SRT = 33°     ∵ m∠QRT = m∠SRT

Step-by-step explanation:

Given the diagram,

RT bisects ∠SRQ, and m∠QRT = 33°

RT bisecting ∠SRQ means RT will bisect ∠SRQ into two equal angles, which are:

m∠QRT = m∠SRT

as

m∠QRT = 33°

so

m∠SRT = 33°     ∵ m∠QRT = m∠SRT

Charles received a $3.00 tip from a customer who had a $12.00 bill. Which decimal represents the fraction of the bill Charles received as a O 0.12 0 0.25 O 0.3 O 0.4​

Answers

Answer:

I think 0.4 would be the answer

Answer:

0.12 go to places to the left

How can I solve this?
Please use the simplest format​

Answers

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

opposite = 4adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]

[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]

[tex]m=\sqrt{\frac{64}{3}}[/tex]

[tex]m=\frac{8}{\sqrt{3}}[/tex]

[tex]m=\frac{8\sqrt{3}}{3}[/tex]

Thus,

[tex]m=\frac{8\sqrt{3}}{3}[/tex]n  = 4√3 / 3

Therefore, option D is true.

A type of new car loses 20% of its value in its first year.
It loses 15% per year in every year after the first. Graham buys one of these new cars.
Work out the percentage of its value that it has lost after five years.
Give your answer to the nearest whole number.

Answers

Answer:63%

Step-by-step explanation:

if 2years=25%loss

Then 5years=5/2×25%

=62.5%~63%

Answer:

After a year, your car's value decreases to 81% of the initial value. After two years, your car's value decreases to 69% of the initial value. After 3 years, your car's value decreases to 58% of the initial value.

Salary paid Rs 10000and still due Rs 2000 ​

Answers

Answer:

ooh too bad happened sorry

Domain is the set of all input values, while range is the set of all:

a. independent variables
b. output values
c. relations
d. functions

Please select the best answer from the choices provided.​

Answers

b. output values is the best answer

A polynomial p has zeros when x=5, x=-1, and x=-1/4. what could be the equation of p?
A. p(x)=(x+5)(x+1)(4x+1)
B. p(x)=(x-5)(x+1)(4x+1)
C. p(x)=(x+5)(x-1)(4x-1)
D. p(x)=(5x)(-1x)(-1/4x)

Answers

Answer:

B

Step-by-step explanation:

Given: x = 5 ; x - 5=0

x = -1; x+ 1= 0

x = -1/4; 4x + 1 = 0

Then; (x - 5)(x + 1)(4x + 1)

The mean diastolic blood pressure for a random sample of people was millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be millimeters of mercury, find a confidence interval for the true mean diastolic blood pressure of all people. Then give its lower limit and upper limit.

Answers

Answer:

(85.62, 90.38).

Step-by-step explanation:

The missing data  can be assumed to be we have the following information:

¯x =88, s=10,  n=70

Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:

95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)

The answer is (85.62, 90.38).

Patterns and functions

Answers

A.
9(1)+4=13
9(2)+4=22
9(3)+4=31
etc


Hmmm , can someone help with this one?

Answers

Answer:

answer choice c

Step-by-step explanation:

i think it’s 16/24.

change these times to 24-hour clock

b
1.15 pm

c
04 05

Answers

Answer:

b)  13:15

c) 4:05 or 16:05 ( u havent given pm or am)

hope it helped u,

pls mark as the brainliest

^_^

Answer:

b. 13:15

c. 04:05

Step-by-step explanation:

in a 24hr clock 12 hrs will be added if it is in the afternoon

since the first one is in pm 12+1 =13:15

the second doesnt have pm so it will remain

0.124
[tex]0.124five \: base \: two [/tex]

Answers

Let x be the number equal to 0.124₅, so that

x = 1•5⁻¹ + 2•5⁻² + 4•5⁻³

Multiply x by 5³ to convert it to a whole number:

x = 1•5² + 2•5¹ + 4•5⁰

Convert everything to base 2:

5³ = 125 = 64 + 32 + 16 + 8 + 4 + 1 = 1111101₂

1•5² + 2•5¹ + 4•5⁰ = 25 + 10 + 4 = 39 = 32 + 4 + 1 = 100111₂

Then

1111101₂ x = 100111₂

so that

x = 100111₂ / 1111101₂

I've carried out the first several steps in the division in the attached table, with more bits added to the result. The number in base 2 does not terminate. You end up with approximately

0.010011111101111100111...₂

there are 60 inches in 5 feet. How many inches are in8 feet?​

Answers

Ok so

96 inches is the answer u calculate

Answer:

96 inches

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?

Answers

Answer:

3.996yd³

Step-by-step explanation:

A rectangular box has a volume of 108 cubic feet. How many cubic yards are in the volume of this box?

Given

Volume of a box = 108ft³

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 * x = 108 *  0.0370

x = 3.996

Hence the value in cubic yards is 3.996yd³

Answer:

Since there are 3 feet to a yard, there are $3^3=27$ cubic feet to a cubic yard. Thus, there are $108/27=\boxed{4}$ cubic yards in the volume of the box.

For the statement below, write the claim as a mathematical statement. Use proportions to state the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 73% of college students did not use student loans to pay for college. Let p be the proportion of college students who did not use student loans to pay for college. What is the claim as a mathematical statement? Determine the null and alternative hypothesis. Identify whether the null or alternative hypotheses is the claim.

Answers

Answer:

Null Hypothesis : P = 0.73

Alternative Hypothesis : P≠ 0.73

Step-by-step explanation:

Explanation:-

According to a recent survey, 73% of college students did not use student loans to pay for college

Let p be the proportion of college students who did not use student loans to pay for college

Population proportion  P = 73% or 0.73

Null Hypothesis :  P = 0.73

Alternative Hypothesis : P≠ 0.73

is 2*4 and 4*4 proportianal?

Answers

Answer:

no, 2/4 and 4/4 is not proportional.

Step-by-step explanation:

answer is not equal

Dave bakes 12 cakes in 3 minutes. If b represents the numbers cakes David bakes in minutes . What is a linear equation that represents this situation

Answers

Answer:

The linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

Step-by-step explanation:

Let 'b' represents the numbers of cakes David bakes in minutes.

Let 'a' represents the time David takes to make 12 cakes

As Dave bakes 12 cakes in 3 minutes.

unit rate = 12/3 = 4 cakes / per minute

The unit rate can also be treated as a slope as it is just representing the rate of change.

Thus, the linear equation will be:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

VERIFICATION

if a = 3 minuts

then

b = 4(3) = 12 cakes

and

if a = 2 minutes

then

b = 4(2) = 8 cakes

and

if a = 1 minute

then

b = 4(1) = 4 cakes

Thus, the required equation is:

b = 4a

Here,

b = numbers of cakes David bakes

a = the time taken by David to bake cakes

does anyone know algebra? if so, I can really use your help.

Answers

Answer:

yea sure

Step-by-step explanation:

Yeah lmk what you need help in

Easy algebra 1 please help

Answers

9514 1404 393

Answer:

  (H)  y = 1/3x + 5

Step-by-step explanation:

When x=0, y=5, so you know G is not a possibility.

Y increases at a lower rate than x does. For example, between the first two table entries, x goes up by 6, but y goes up by 2. The only choice with a rate of change less than 1 is ...

  (H)  y = 1/3x + 5

Can you simplify the below equation

[tex]\sqrt{(\sqrt{21} -2\sqrt{7}) ^2}[/tex]

Answers

Answer:

nope

Step-by-step explanation:

literally impossible

The king who retains power by tradition of allegiance ensures that a religious doctrine is enforced as government policy. Which of the following accurately describes the type of government? (4 points)

a
This country has both a monarchy and a theocracy.

b
This country has both a dictatorship and a monarchy.

c
This country has both a democracy and a theocracy.

d
This country has both a democracy and a monarchy.

Answers

Answer:

The answer is C.This country has both a democracy and a theocracy

A motorcycle zoomed along the freeway, traveling 10 meters in
1/3 of a second. How fast was it going?

Answers

Answer:

30 meters per second I think

Ya 30 can I get brain list please

-2|5x+3|>=4 i dont have the bigger equal simbols , please help me with this question ;((

Answers

Step-by-step explanation:

-2|5x + 3| >= 4

|5x + 3| <= -2

Since absolute value is never negative, there are no real values for x.

According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?

Answers

Solution :

According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.

Now this is considered as a joint event. This is because the above statement consists of two events.

1. Video games are sold in the United States.

2. Women purchased video games.

The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.

3 + 5 is​ ___ units from ​3, in the​ _______ direction.

Answers

Answer:

7 unit

Step-by-step explanation:

mark me as brainliest and follow and like my answer

PLEASE HELP, BEEN STUCK FOR AN HOUR

How will you graph the function g(x) = (x – 4)+ 12 using the parent quadratic function, f (x) = x2?

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

We assume your functions are ...

  f(x) = x²

  g(x) = (x -4)² +12

_____

You need to be able to recognize that g(x) matches a pattern:

  g(x) = f(x-h) +k

where h = 4, and k = 12.

In this pattern, the value of h is the number of units the graph is translated to the right. The value of k is the number of units the graph is translated up.

So, g(x) is the same as the graph of f(x), but translated 4 units right and 12 units up.

Which property justifies rewriting 3x-5x as (3-5)x?

Answers

Answer:

distributive property of multiplication over subtraction

a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?

Answers

Answer:

12 yards

Step-by-step explanation:

side b = √(diagonal^2 - side a^2)

Which ratio is equivalent to 4:5?
10
15
4
10
16.
20
15

Answers

Answer:

16;20

Step-by-step explanation;

you can both multiply by 4

4 x 4 = 16 and 5 x 4 = 20.

Mr.Johnson leaves on a trip planning to travel 24 mph

Answers

Ummm is this a full question?
In conclusion, she is very slow
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