8x + y = 17
5x + 5y = –20

Answers

Answer 1

Answer:

X=3 Y=-7

Step-by-step explanation:

You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x

Then substitute y in the bottom equation for the y solved in the top. So,

5x + 5(17-8x) = -20

Then solve for x

x=3

Now that we know x, plug it back into the equation for y

y = 17 - 8(3)

y = -7

So your solution is (3, -7)

Answer 2

Answer:

Step-by-step explanation:

40x + 5y = 85

-5x - 5y = 20

35x = 105

x= 3

15 + 5y = -20

5y = -35

y = -7

(3, -7)


Related Questions

If 2x+y=10 and y=3x find the value of both x and y

Answers

Answer: x=2 y=6
Explanation: I’ve been looking at this problem for the longest time and can’t figure a way to explain this properly, let’s simplify first, 2x+3x(y)=10, then distribute evenly, 10 divided by 5 is 2 so x equals 2 and y equals 6

Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.

Answers

Answer:

1.718333

0.114957

12

1 3 5 7

Step-by-step explanation:

Given the following height values :

Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85

1.) Assign all height values to a vector height :

R code:

height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)

2.) To compute the mean and standard deviation of "height"

R code for mean height:

mean(height)

R code for height standard deviation :

sd(height)

3.) The length of "height" ; This gives the number of data values in the vector variable "height"

R_code for length:

length(height)

4.) Number of heights less than 1.65

R_code :

which(height < 1.65)

Gives the index values where height values is less than 1.65

5.) Show if each height is larger than 1.6 and less Than 1.75

R_code :

1.6 < height < 1.75

A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and the remaining 8 students wear blue shirts. Mrs. Kulkarni randomly chooses a student to clean the whiteboard. Determine the probability that Mrs. Kulkarni selects a student wearing a red shirt. Enter your answer in the box.

Answers

Answer:

She picked white because the board is white

Answer:

24.24... percent chance

Step-by-step explanation:

Because 6/33 is 24 percent and 6 is the amount of red shirts

multiply 8 by g, then divide 7 by the result
Do not simplify any part of the expression. HELP A GIRL OUT PLEASE

Answers

Answer:

8*g = 8g

then,

7/8g

Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.

Answers

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

can anyone help me pls

Answers

Answer:

405 calories

Step-by-step explanation:

All we have to do is:

9 × 45

I hope this helps!

How many 1/2cups are in 7/8cups

Answers

Answer:

Step-by-step explanation:

7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply

7/8 * 2 = 14/8 = 1 3/4 <==

Write the equation of the line in slope-intercept form (y = mx +b): 3y - 12x = 15

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

3y - 12x = 15

Add 12x to both sides.

3y = 12x + 15

Divide by 3 to isolate y.

y = 4x + 5

Answer:

ACTUALLY IT'S, y=4x-5

Step-by-step explanation:

12x-3y=15                          - Get y alone

-12x   =12x                          

-3y=-12x+15

-3y=-12x+15     - Divide.            

__________

-3           -3

y=12/3x-15/3                  -  Distribute division. Negative over a negative is positive. Positive over a negative is a negative.

y=4x-5     - Reduce fractions.

If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?

Explain Please

The song: Drivers License
Songwriter/ singer: Olivia Rodrigo

Answers

Answer:

12 hours and 50 minutes

Step-by-step explanation:

You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins

Answer:

7 hours, 40 min

Step-by-step explanation:

4 minutes is 1/15 of an hour

115 x 1/15 = 7 2/3

What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5

Answers

Answer:

3) 5/2

Step-by-step explanation:

2y = 5x + 4

y = 5/2x + 2

slope = 5/2

(y = mx + b, m being slope, b being y intercept)

are the angles similar justify?

Answers

yes they are just one is decreased in size.
yes because the angles are the same size it’s just cause one is smaller then the other one

who ever helps me gets brainliest​

Answers

Answer:

[tex]\frac{1}{2}[/tex] cups of flour

Step-by-step explanation:

Substitute 1 in for m.

[tex]f=\frac{1}{2}(1)[/tex]

Simplify.

[tex]f=\frac{1}{2}[/tex]

1/5,0,-1/5,what two answers comes next?

Answers

the next 2 answers are: -2/5 and -3/5

which fraction is equivalent to -3/2
3/-2
-(-3/2)
-(3/-2)
-3/-2

Answers

Answer:

A

Step-by-step explanation:

plz help will make brainliest!!!!!

(by the way, if the pic is blurry, the equation you would solve is: 10x = 2x + 60)​

Answers

Answer:

x = 7.5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2x from both sides of the equation:

10x (-2x) = 2x (-2x) + 60

10x - 2x = 60

8x = 60

Next, isolate the variable, x. Divide 8 from both sides of the equation:

(8x)/8 = (60)/8

x = 60/8

x = 7.5

x = 7.5 is your answer.

~

The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6

Answers

answer: C

(1) 56 + (2) 42 + (3) 50 + (4) 63 + (5) 58+ (6) 41 + (7) 50 + (8) 48 + (9) 68 + (10) 48 = 524

524/10 = 52.4

Answer:

C. 52.4

Step-by-step explanation:

The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.

Answers

Answer:

147

Step-by-step explanation:

Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer

Answers

Answer:

The answer is (-8/5,32) in point form or x=-8/5,y=32

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.

What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.




$30 per pound


$0.14 per pound


$7 per pound


$14 per pound

Answers

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

Graph the following inequality and then select the correct graph below.
x+y<1

Answers

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(

5-7(9b-3d). D=3 b=9

Answers

Answer:

Subsitute (nothing hard)

5-7(9*9-3*3)

Combine

5-7(72)

Distibute left to right

-7*72= -504

5-504

-499

Will mark brainliest!!!Using sin in math solve the one circled in green

Answers

Answer:

x ≈ 32.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × sin48° = 24 ( divide both sides by sin48° )

x = [tex]\frac{24}{sin48}[/tex] ≈ 32.3 ( to 1 dec. place )

Solve using the order of operations.
[tex]5 \div (4 - 3) {3 -}^{2} - 2[/tex]

Answers

Answer:

BODMAS (Bracket Of Division Multiplication and Addition)

Step-by-step explanation:

[tex]5÷(4−3)3−2−2[/tex]

[tex]5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3[/tex]

bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question

Help please I will Brainly

Answers

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is letter D.

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?

Answers

Answer:

0.1416

Step-by-step explanation:

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.

The probability in a random sample of 32 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]

P-value from Z-Table:

P(x<32) =

The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.

The probability in a random sample of 36 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]

P-value from Z-Table:

P(x<36) = 0.0086945

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be

[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?

Answers

Answer:

a) the required percentage is 32.64%

b) the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Step-by-step explanation:

Given that;

mean μ = 14.7 %

standard deviation σ =33%

a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?

P( portfolio lose money )

= P( x< 0) P( 0-14.7 / 33 )

P( Z < -0.45 ) =  0.3264 ≈ 32.64%

Therefore, the required percentage is 32.64%

b)

the cutoff for the highest 15% of annual returns with this portfolio will be:

P( X ≥ x) = 15%

1 - P(X ≤ x) = 0.15

P(X ≤ x) = 0.85

P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1

form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2

from the equations;

(x-14.7 / 13 ) = 1.04

33 × 1.04 = x-14.7

34.32 = x-14.7

x = 34.32 + 14.7

x = 49.02%

Therefore, the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

what is the value of x in √x^3-1​

Answers

9514 1404 393

Answer:

  x ≥ 1

Step-by-step explanation:

The argument of the square root cannot be negative, so the expression is only defined for ...

  x³ -1 ≥ 0

  x³ ≥ 1 . . . . . add 1

  x ≥ ∛1 . . . .  cube root

  x ≥ 1 . . . . the domain of the expression

_____

As you can see, the graph only exists for x ≥ 1.


Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1

Answers

Answer:

x=3

please mark as brainliest

Express x^2 + 4x - 7 in the form (x + a)^3 - b where a and b are integers

Answers

Answer:

(x+2)² - 11

Step-by-step explanation:

Regroup terms

x² + 4x - 7

(x² + 4x) - 7

Complete the square

 coefficient of x term: 4

 divide coefficient in half: 2

 square it: 2²

 use 2² to complete the square:

(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11

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