5x−4y=34
−x+8y=22
elimination

Answers

Answer 1

Answer:

The solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]

Multiply -x+8y=22 by 5:  -5x+40y=110

[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]

so adding the equations

[tex]-5x+40y=110[/tex]

[tex]+[/tex]

[tex]\underline{5x-4y=34}[/tex]

[tex]36y=144[/tex]

solve 36y = 144 for y:

[tex]36y=144[/tex]

divide both sides by 36

[tex]\frac{36y}{36}=\frac{144}{36}[/tex]

Simplify

[tex]y=4[/tex]

For 5x-4y=34 plug in y=4

[tex]5x-4\cdot \:4=34[/tex]

[tex]5x-16=34[/tex]

Add 16 to both sides

[tex]5x-16+16=34+16[/tex]

Simplify

[tex]5x=50[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}[/tex]

Simplify

[tex]x=10[/tex]

Therefore, the solution to the system of equations is:

[tex]x=10,\:y=4[/tex]


Related Questions

simplify
5p - 4p - 4p

Answers

Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 What is the standard deviation of the data? 0 pounds 4.66 pounds 5.03 pounds 25.33 pounds

Answers

Answer:

4.66

Step-by-step explanation:

We are given the following data

26, 26, 21, 22, 20, 25, 35

Step 1

We find the Mean

Mean = 26+ 26+ 21+ 22+20+25+ 35/7

= 175/7

= 25

Step 2

We find the Standard Deviation

The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager

= √(x - Mean)²/n

= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7

= √152/7

= √21.7142857

= 4.65985898

Approximately = 4.66

Answer:

5.03 Pounds (C)

ED2021

The person above me is right, but you gotta solve for sample data; not population.

!This is for standard deviation!

PLEASE HELP ME ON THIS THE ANSWERS ARE 1/3 cm/s, 1/2 cm/s, 2/3 cm/s, and 3/2 cm/s

Answers

Answer:  3/2 cm per second

========================================================

Explanation:

We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.

The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.

We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.

a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.

Answers

i believe it’s discounted 25%

Answer:

25%

Step-by-step explanation:

Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%.  You have 25% ($30) as the discount because 90 is 75% of $120.

HI WHAT IS 7/6 OF 456327=
PLEEEEAAASE HEEEELLLP ME!!!!!!!!

Answers

Answer:

532381.5

Step-by-step explanation:

456327 divided by 6 to get 1/6 = 76054.5

76054.5 x 7 to get 7/6 = 532381.5

or 456327 (6/6) + 76054.5 (1/6) =532381.5


HELP PLS PLSSSSS


ASAP

Answers

Answer:

9(9d+4)

Step-by-step explanation:

Hope I helped!

5x + 4x - 4x plz help me

Answers

the answer is 5x
hipe that helps
5x is the answer because 4x-4x=0 and 5x+0=5x.

a certain coin is a circle with a diameter of 18mm. What is the exact area of either face of the coin in terms of pi (3.14)

Answers

Answer:

254.34 mm².

Step-by-step explanation:

For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.

[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]

Therefore, the area of either face of the coin is 254.34 mm².

I hope this helps!

What is the area of this figure?

Enter your answer in the box.

mm²
Composite figure composed of a a right triangle with a base of 3 mm and a height of 4 mm, and two rectangles, one with side lengths of 3mm and 4mm, the other with side lengths of 1 mm and 6 mm.

Answers

12cm2 or 24 because if u do b and h and subtract half u will 12

Please help it’s a test and I only have 50 minutes left

Find x. Round to the nearest hundredth if necessary.

Answers

Answer:

60

Step-by-step explanation:

X is equal to 60 degrees

how is the following written with only one exponent?
a^3 . a^5​

Answers

Answer:

The expression 103 is called the exponential expression. ... The exponent applies only to the number that it is next to. ... If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 ... From row 1 to row 2, the exponential form goes from 105 to 104. ... Following the pattern, you see that 100 is equal to 1.

Step-by-step explanation:

-20t>-80 what is t and how do you graph it on a nuberline

Answers

Answer:

Step-by-step explanation:

Divide both sides by -20. If you divide by a negative, you have to switch the inequality sign. So now you have this for t:

t < 4

Draw a circle around 4 on a number line, but do not shade it in. Then everything below 4 is the right answer for the value of t.

This is my 2 try can someone plz help me get the answer

Answers

Answer:

surface area is the answer

Work out the area of a rectangle with base, b = 20mm and perimeter, P = 42mm.

Answers

Answer:

20mm

Step-by-step explanation:

base=20mm

base x 2 because there are two long lines

20 x 2 = 40

42-40=2

amount needed on either side to balance

height=1mm

20 x 1 = 20mm

area = 20mm

Answer:

Let the length of the rectangle be 'l'

We have,

Perimeter of rectangle, P = 42mm.

[tex]or, 2(l+b) = 42\\or, l +b = \frac{42}{2} = 21\\or, l + 20 = 21\\or, l = 1mm\\[/tex]

Area of rectangle = [tex]lb = 1(20) = 20mm^{2}[/tex]

60 plus 18% ill give brainliest :)

Answers

Answer:

70.8

Step-by-step explanation:

YOU'RE WELCOME

Calculate the perimeter of this shape.
12 cm
18 cm

Answers

Answer:

Step-by-step explanation:

P = 2l + 2w

= 2(12) + 2(18)

= 24 + 36 = 60

What is the slope of this line

Answers

Answer:

K=2

Step-by-step explanation:

I es Smrt

A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a new rectangle

Answers

I think it is A. I could be wrong

a triangle has two sides of length 5 and 4 what is the smallest possible whole-number length for the third side​

Answers

Answer:

1

Step-by-step explanation:

Will mark brainliest. Please help! find the surface area of a cylinder whose radius is 1.2mm and whose height is 2mm.

Answers

Answer:

25.1mm²

Step-by-step explanation:

Total surface area of a cylinder = 2πr(r+h)

r is the radius = 1.2mm

h is the height = 2mm

Substitute

TSA = 2(3.14)(1.2)[1.2+2]

TSA = 7.536[3.2]

TSA = 24.1152

Hence the total surface area of the cylinder is 25.1mm²

Answer:

The

answer is actually ( in acellus that is )

24.1

Step-by-step explanation:

evaluate 11.5x + 10.7y when x = 3 and y = 4

Answers

Answer: 77.3

Step-by-step explanation:

11.5(3)+10.7(4)

11.5 times 3 equals 34.5

and 10.7 times 4 equals 42.8

34.5 plus 42.8 equals 77.3

Answer:

77.3 (see below)

Step-by-step explanation:

To solve, plug in the values given into the expression given and simplify:

11.5x + 10.7y

11.5 (3) + 10.7 (4)

34.5 + 42.8

77.3

Question 7(Multiple Choice Worth 1 points)
(05.02 MC)

A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?

Approximately 26–34 pounds
Approximately 24–36 pounds
Approximately 28–32 pounds
Approximately 29–31 pounds

Answers

Answer:  C

Step-by-step explanation: I took the test and got it right

help please will give brainliest PLEASE​

Answers

Answer:

I think the answer is b the answer is b

Answer:

The answer is really and surely B

can someone help me with this?

-5k = 12

thanks!

Answers

Answer:

Not sure what you wanted but here Divide each term by

5

-

5

and simplify.

Exact Form:

k

=

12

5

k

=

-

12

5

Decimal Form:

k

=

2.4

k

=

-

2.4

Mixed Number Form:

k

=

2

2

5

Step-by-step explanation:

Answer:

k= -2.4

Step-by-step explanation:

Find the geometric mean of sqrt 77 and sqrt 343.

Answers

Answer:

12.75

Step-by-step explanation:

The computation of the geometric mean of sqrt 77 and sqrt 343 is given below:

As we know that

Geometric mean = [tex]\sqrt{ab}[/tex]

where

a is the first number = [tex]\sqrt{77}[/tex]

And, the b is the second number = [tex]\sqrt{343}[/tex]

Now first we have to convert into a number

For a it, is = 8.78

And, for b, it is = 18.52

Now the geometric mean is

[tex]= \sqrt{8.78 \times 18.52}[/tex]

= 12.75

help please?? hurry!! Find the values of the variables in the diagram above

Answers

Answer:

C = 95 degrees.

Step-by-step explanation:

The line is being intersected by parallel lines, so that means that those angles will add up to 180. 180-85=95.

y = 3x - 1
y = x - 7
Solve with Substitution

Answers

Y = 3x -1. Y = 3x - 1
(-3) Y = x - 7. -3y = -3x + 21

-2y = 20
-2. = -2
Y = - 10

Y = 3x - 1
-10 = 3x - 1
+ 1. + 1
-9. = 3x
3. 3

-3 = x

(-3,-10)
Solution : {y,x } = { -10 , -3 }
Solve the equation [2] for the variable of y
2 . Y = x-7
Plug this in for variable y in the equation [1]
1 (x -7 ) -3x = -1
1 -2x = 6
Solve the equation [1] for the variable x
1 2x =-6
1 x= -3
By now we know this much
Y = x-7
X =-3
Use the x value to solve for y
Y= ( -3 ) -7 = -10

The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?

Answers

Answer:

34

Step-by-step explanation:

Number 8 please I don’t know anything

Answers

Answer:

A. Domain: 1,2 Range: 0,1,4

B. Domain: 0,2,4, Range: 1,2,3,

Step-by-step explanation:

Domain is the x axis

Range is the y axis

A flying squirrel's nest is 6 meters high in a tree. From its nest, the flying squirrel glides 8 meters to reach an acorn that is on the ground. How far is the acorn from the base of the tree? If necessary, round to the nearest tenth.

Answers

Answer:

2 meters

Step-by-step explanation:

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