In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y=7
3.x – 3y = 15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by 1/3.
O C. Multiply the top equation by 3 and the bottom equation by 4.
D. Multiply the top equation by-3 and the bottom equation by 2.

Answers

Answer 1

4x – 2y=7

3x – 3y = 15

we want to keep y by eliminating the x

so we will Multiply the top equation by 3 and the bottom equation by 4.

we will get

12x - 6y = 21

12x - 12y = 60

we subtract the equations

12x - 6y - 12x - (-12y) = 21 - 60

6y = -39 and so on


Related Questions

Is (-3,2,5) a solution to the following system of equations? *
x – 3y + z = 21
3x + 2y – 5z = -30
2x - 5y + 2z = -6

Answers

Its is not a solution to the first but it is to the second third equations.

6 2/9 ÷ (-2 2/3)
please help​

Answers

Answer:

- 2 1/3

Step-by-step explanation:

Hi there !

6  2/9 : ( - 2 2/3) =

= (6*9+2)/9 : -(2*3+2)/3

= 56/9 : - 8/3

= 56/9 × - 3/8

simplify 56 - 8 ; 9 - 3

= 7/3 × - 1/1

= - 7/3

= - 2 1/3

Good luck !

Please help with finding how many solutions a problem has.

Answers

The answer is no solutions, because if you simplify the expression you end up with 0=132. This means there are no solutions.

To show that the triangles are congruent, triangle ABC could be transformed by
which movement(s) to fit exactly on triangle XYZ?

Answers

Answer:

D a reflection over the x axis by a reflection over the y axis

Step-by-step explanation: if u put the triangle on the button left up then move it to the upper right it’s congruent.

Answer: A rotation of 270° clockwise about the origin followed by translation left 1 and up 10

Step-by-step explanation:

xd xd xd xd xd xd xd xd

Answers

Answer:

8576×7=60032

Step-by-step explanation:

Answer:

XDDDDDDDD

Step-by-step explanation:

Kristen has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Kristen just saw a sign that said the park is 10 miles away, so the drive is almost over. If Kristen's father drives 50 miles per hour, how many more minutes will it take to reach the park?

Answers

Answer: It will take 12 minutes to the reach the park.

Step-by-step explanation:

We know that, [tex]\text{Speed }=\dfrac{\text{distance}}{\text{time}}[/tex]

[tex]\Rightarrow\ \text{Time}=\dfrac{\text{Distance}}{ \text{Speed}}[/tex]

Given: Speed = 50 miles per hour

Distance needs to travel =  10 miles

Now, Time required to reach the park = [tex]\dfrac{10}{50}=\dfrac{1}{5}\text{ hour}[/tex]

Since 1 hour = 60 minutes

So, [tex]\dfrac15\text{ hour}=\dfrac15\times 60=12\text{ minutes}[/tex]

Hence, it will take 12 minutes to the reach the park.


Given B(17,5), C(11, -3), D-1, 2), and
E(x, -6), find the value of x so that BC || DE.

Answers

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same.Two lines are perpendicular if their slopes are negative reciprocals.And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

We want to find the value of x such that [tex]\overline{BC}\parallel\overline{DE}[/tex].

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-5}{11-17}[/tex]

Subtract:

[tex]m=-8/-6=4/3[/tex]

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

[tex]\displaystyle m=\frac{-6-2}{x-(-1)}[/tex]

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

[tex]\displaystyle \frac{4}{3}=\frac{-6-2}{x-(-1)}[/tex]

Solve for x. Simplify the right:

[tex]\displaystyle \frac{4}{3}=\frac{-8}{x+1}[/tex]

Cross multiply:

[tex]4(x+1)=-8(3)[/tex]

Multiply on the right:

[tex]4(x+1)=-24[/tex]

Divide both sides by 4:

[tex]x+1=-6[/tex]

Subtract 1 from both sides:

[tex]x=-7[/tex]

So, the value of x is -7.

And we're done!

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Draw and label the dimensions of a scale drawing of Elena's bedroom, using a scale of 1 to 50. Elena's bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know. Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed? How would I draw this out

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Actual length of rectangular bedroom = 5m

Actual width of rectangular bedroom = 3m

Scale = 1 to 50

Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm

Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm

If width of door = 0.8m wide

Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm

Bed measures : 4cm by 3cm on scale drawing ;

Actual bed dimension:

4cm * 50 = 200cm ; 200/ 100 = 2m

3cm * 50 = 150cm ; 150 / 100 = 1.5m

Someone help me please.

Answers

I did the answers on the picture.

Does the expression x^3-1/x^2-1 simplify to x?

Answers

Answer:

no it doesn't

Step-by-step explanation:

[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]

( x - 1 )s simplifies

[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]

_________________________________

Thus ; the expression doesn't simplify to x.

A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.

What does t represent?


What does a(t) represent?


What information will a(5.5) give?

Answers

Answer:

t represents the time in minutes since the balloon started descending.

a(t) represents the altitude of the balloon at t minutes.

a(5.5) gives the altitude at 5.5 minutes.

Answer:

What does t represent?

✔ time after the balloon begins to descend

What does a(t) represent?

✔ altitude of the balloon

What information will a(5.5) give?

✔ altitude of the balloon after 5.5 minutes

 

Step-by-step explanation:

edge 2021

plz make me brainliest

Plz help!
Solve... 4x + 30 = -6(x - 2)
I got -4.2 but it's wrong!

Answers

Answer: x= -9/5   or x = -1.8

Step-by-step explanation:

4x + 30 = -6(x - 2)   First apply the distributive property on the left side

4x + 30 = -6x + 12      Add 6x to both sides

+6x           +6x

   10x + 30 = 12     Subtract 30 from both sides

           -30    -30

10x = -18     Divide both sides by 10

 x = -9/5     or x = -1.8

Answer:

the answer is -1.8 if you want to use the decimal and -9/5 if you want to use the fraction

Step-by-step explanation:

4x + 30 = -6(x - 2)

4x+30 = -6x + 12

4x + 6x = 12 - 30

10x = -18

divide both side by 10

x = -9/5 or -1 4/5 or -1.8

( also not trying to gatekeep so i wanna say that i got this answer from an app named photomath. i scanned the question in the camera and it pulled the answer. hoped it helped love!)

Please help me and explain the answer is the answer

Answers

Answer: C

Step-by-step explanation:

The length of a rectangular room is 7 feet longer than twice the width. If the room's perimeter is 146 feet what are the room's dimensions?
Width - 22 ft: length - 51 ft
Width - 33 ft: length - 40 ft
Width - 27 ft: length - 61 ft
Width - 44 ft: length - 102 ft

Answers

Answer:

width- 22ft : length-51 ft

Step-by-step explanation:

if you add 22+22 its 44 +7 it will give you 51.

that is twice the width+ the 7 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

What is the perimeter of the rectangle?

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular room is 7 feet longer than twice the width. Then we have

L = 2W + 7

If the room's perimeter is 146 feet. Then the dimension of the rectangle will be

P = 2(L + W)

146 = 2(2W + 7 + W)

73 = 3W + 7

3W = 66

W = 22 feet

Then the length of the rectangle will be

L = 2 x 22 + 7

L = 44 + 7

L = 51 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the angle from 35 feet away from the base of the tree and gets an angle of 62°. Tamara's eye level is 5.5 feet above the ground. How tall is the tree?

Answers

Answer:

71.32 feet

Step-by-step explanation:

We set up a trigonometric function to get height of tree

Distance ,x = 35 feet away from tree base

Angle = 62⁰ at eye level

Y = tan(angle) * x

= Y = tan(62⁰) x 35

Y = 1.881 x 35

Y = 65.82 feet

We add Tamara's height to the total height of the tree

= 65.82feet + 5.5 feet

= 71.32 feet is the height of the tree

Jason bought a TV that was $1099.99. He made a
down payment of 199.99 and wants to pay the rest in
9 equal monthly payments. How much would he pay
each month?

Answers

1099.99-199.99=900
900 divided by 9= 100
Answer = 100$ every month
100 every month! This is because the original cost - the down payment equals 900. 900 divided into 9 months is 100$!!!!

What is the length rounded to the nearest whole number? (length = 25.15 ft) *

Answers

Answer:

25

Step-by-step explanation:

A metal worker has 57 grams of an alloy that is 37% gold. She also has a large supply of an alloy that is 17% gold. How many grams of the 17% gold alloy does she need to add to the 37% gold alloy to obtain an alloy that is 25% gold? Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answers

Answer:

85.5 grams of 17% gold alloy is added.

Step-by-step explanation:

A metal worker has 57 grams of an alloy that is 37% gold.

And let x grams of an alloy which is 17% gold.

Let's add them to get 25% of (x+57)grams of alloy.

So, we can set up equation as

57(37%) +x(17%) =(x+57)(25%)

Simplify and solve the equation for x.

21.09+0.17 x=  0.25 x+14.25

Subtract both sides 0.25 x

21.09-0.08 x =14.25

Subtract both sides 19.95

-0.08 x=-6.84

Divide both sides by -0.08

x=85.5 grams

pls help! see multiple choice. will give brainliest and 20 points

Answers

(3,-7)
Hope to help you, have a good day

What is the slope of the line shown in the graph?

1. 4/5
2. 5/7
3. 6/7
4. 5/6

Answers

The slope of the line is B. 5/7

y = 5x - 2 if x=2 what does y=?

Answers

Answer:

y=8

Step-by-step explanation:

y= 5(2) -2

y= 10-2

y=8

Answer:

y=8

Step-by-step explanation:

i dont have a step by step

Choose an equivalent expression for 123 • 129 • 124 • 122.

Answers

Answer:

Like what type of expression? And Is it for all the numbers at once, or is it each number separately?

Step-by-step explanation:

For each 12 mm of coloured fabric Sarah uses to make her curtains, she also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Answers

Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

i need help in finding the sum for (16 − x2) + (−14x2 + 7x5 − 17x4 + 9) plz help :( im rlly bad at math

Answers

Answer:

-50

Step-by-step explanation:

What is 8×∙(−7)∙3 = Because I need it right now for my HOMEWORK, so if you know the answer please tell me what it is.

Answers

Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.

a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (?) dollars.

Answers

The equation with (x) in dogs and (y) in dollars is  [tex]y=195x[/tex]

First, you must set up your equation.

[tex]y=80x+65x+50x[/tex]

Then, you must add like terms to simplify the equation

[tex]y=195x[/tex]

Answer:y=195x

Step-by-step explanation:

Find the slope of the line between (1995, 5.4) and (2014, 11.8)

Answers

Answer:

[tex](19,6.4)[/tex]

Step-by-step explanation:

[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]

so it would look like

[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]

then

[tex](19)[/tex],[tex](6.4)[/tex]

or

[tex](19,6.4)[/tex]

1- Finding angle measures between intersecting lines

NOTE: Angles not necessarily drawn to scale

x = ??

Answers

I’m pretty sure x=60

This sounds dum but I don't know what the line on top is for. (step-by-step explanation would be appreciated)

Answers

Answer:

C: 5/11

Step-by-step explanation:

The top line over the numbers usually mean the numbers are recurring (occurring again and again)

So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)

To solve you convert each option to a decimal and find one that has 0.45 recurring.

A: 4/5 =0.8

B: 5/9 = 0.55...

C: 5/11 = 0.45...

D: 4/9 = 0.44...

Hence, our answer is C.

Answer: It means that the numbers the bar is over repeats. Answer is C

Step-by-step explanation:

For example:

Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.

Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat.  [tex]0.12 \overline {34} = 0.12343434343434...[/tex]

Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...

Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\

To solve your problem, it will be easiest to use a calculator and test each answer.

Choice A:  [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]

Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]

Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]

Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]

The Correct Answer is Choice C

What is the square of 9 is less than 100. True or false?

Answers

Square of 9 is 81 and it is less than 100

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