Solve for x.

2x+3y=20
-2x+y=4

Answer:

x = 17

y = 8

QPR = 35º

QRP = 60º

Step-by-step explanation:

2x + 1 = x + 18

Subtract x from both sides

x + 1 = 18

Subtract 1 from both sides

x = 17

QPR = 2x + 1

QPR = 2(17) + 1

QPR = 35º

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

8y - 4 = 4y + 28

Subtract 4y from both sides

4y - 4 = 28

Add 4 to both sides

4y = 32

Divide both sides by 4

y = 8

QPR = 8y - 4

QRP = 8(8) - 4

QRP = 60º

Answer:

x=10, y=-5

Step-by-step explanation:

2x+3y=5, y= 5-x; change y to 5-x:

2x+3(5-x)=5

2x-3x+15=5

-x=5-15

-x=-10

x=10

=>y=5-x=5-10=-5

[tex]b=6\frac12\,in\,,\quad h=6\,in\\\\\\A=b\cdot h\\\\=6\frac12\cdot6= 6\cdot6+\frac12\cdot6 =36+3\\\\=39\ \text{in}^2[/tex]

Answer:

2n - 7

Step-by-step explanation:

Answer:

480 small containers

Step-by-step explanation:

From the above question,

1/5 ounce of ketchup = 1 small container

96 ounces of ketchup = x small containers

Cross Multiply

1/5 ounce × x = 96 ounces × 1

x = 96 ounces × 1/ 1/5 ounce

x = 96 ÷ 1/5

x = 96 × 5/1

x = 480 small containers

Therefore, the number of small containers needed is given as: 480 small containers.

Answer: Answer is C. but if you want to double check before giving this in pls use a greater than less than calculator.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation: BIG BRAIN

The equation that will tell us the measure of the additional angle, a, that Nuha needs to push the door before she can get out is D: 160 - 40 - a.

To determine the equation that will give us the measure of the additional angle, a, that Nuha needs to push the door before she can get out, we can break down the information provided:

1. The door needs to rotate 160° for Nuha to pass through.

2. The wind pushed the door 40°.

To find the additional angle that Nuha needs to push the door, we can subtract the angle already rotated (40°) and the angle she needs to pass through (160°) from the total rotation angle:

Total rotation angle = Angle already rotated + Angle Nuha needs to push + Additional angle Nuha needs to push

Based on this equation, we can eliminate options A, B, and C since they do not accurately represent the situation.

The correct equation is option D: 160 - 40 - a. This equation represents subtracting the angle already rotated (40°) and the angle Nuha needs to pass through (160°) from the total rotation angle, leaving the additional angle (a) that Nuha needs to push the door.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ4

The complete question:

Nuha is going through a revolving door that needs to rotate 160° to allow her to pass through. The wind pushed the door around 40°. Nuha needs to push it the rest of the way.

Which equation will tell us the measure of the additional angle, a, that Nuha needs to push the door before she can get out?

Choose 1 answer:

A: 160+40= a

B: 40 x 2 = a

C: 160 ÷ 40 = a

D: 160-40-a

Answer:

I have no clue,

Step-by-step explanation:

I just wanted the points

Answer:

2 real solutions

Step-by-step explanation:

[tex]y=x^2+3x-2[/tex]

[tex]y=4x-1[/tex]

[tex]x^2+3x-2=4x-1[/tex]

[tex]x^2-x-2=-1[/tex]

[tex]x^2-x-1=0[/tex]

[tex]x=\frac{1 +-\sqrt{1-4*1*(-1)} }{2}[/tex]

[tex]x=\frac{1+-\sqrt{5}}{2}[/tex]

Answer:600

Step-by-step explanation:

Answer:

87.5 miles

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

ΔJKL consist of 3 angles: ∠mLJK, ∠mKLJ and ∠mJKL

We are given the measures of ∠mLJK and ∠mKLJ

In order to find ∠mJKH we must find the missing angle in the triangle

Remember that angles in a triangle add up to equal 180

If we are given two angles we can find the missing angle by subtracting the measures of the known angles from 180

so ∠mJKL = 180 - 37 - 69

180 - 37 - 69 = 74

Hence, ∠mJKL = 74°

Now to find ∠mJKH

Angles ∠K, ∠mJKH and ∠mJKL appear to be formed on a straight line

Angles formed on a straight line add up to equal to 180

So ∠K + ∠mJKH  + ∠mJKL = 180 ( note that this is the equation that will be used to solve for ∠mJKH )

∠K is a right angle, indicated by the little square.

Right angles have a measure of 90° so ∠K = 90

We have also calculated the measure of ∠mJKH = ( 74° )

That being said we plug in the given values into the equation created earlier and solve for ∠mJKH

We would have 90 + ∠mJKH + 74 = 180

Now we solve for ∠mJKH

step 1: combine like terms

90 + 74 = 164

now we have 164 + ∠mJKH = 180

step 2 subtract 164 from each side

180 - 164 = 16

164 - 164 cancels out

we're left with ∠mJKH = 16

Hence the answer is C

Answer:

here

let the missing angle be x

now,

x+30°+40°=180 °

x=110°

Answer:

[tex]common \ ratio ,r =\frac{a_{2} }{a_{1} } = \frac{12}{72}=\frac{1}{6}[/tex]

option D

Step-by-step explanation:

5x-8x+12=24

-3x+12=24

-3x+12-12=24-12

-3x=12

-3x/3=12/-3

Answer is x = 12 :)

Operations you're supposed to do in order to solve this equation are:

1. Combine like terms

2. Subtract 12 from both sides

3. Simplify

4. Divide both sides of the equation by the same term

5. Simplify.

(Demonstration is on the file I uploaded) <3

To find the mean, add up all the numbers in the data set. After, divide by how many numbers are in the data set. Try it out with your data. If you need help with the actual answer, feel free to write in the comment box.

Hope this helps.

Answer:

4

Step-by-step explanation:

3- 3

23 - 3

20 / 5 = 4.

4 x 5 + 3 = 23, so X is 4.

Answer:

2n^3

Step-by-step explanation:

Answer:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

SOLUTION :-

In ΔABC ,

[tex]=> 0.2588... = \frac{BC}{60}[/tex]

[tex]=> BC = (0.2588....) \times 60 = 15.5291.....[/tex] ≈ 15.5 ft

[tex]=> 0.9659..... = \frac{AC}{60}[/tex]

[tex]=> AC = (0.9659.....) \times 60 = 57.9555.....[/tex] ≈ 58 ft

Area of ΔABC = [tex]\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2[/tex]

Answer:

Step-by-step explanation:

4(x+3)+2x= 4x+12

4x+12+2x= 6x+12

and the second is

6(x+2)=

6x+12

9514 1404 393

Answer:

  B.  45π cm^3

Step-by-step explanation:

The volume is given by ...

  V = 1/3πr^2h

where r is the radius (half the diameter) and h is the height. With the given numbers, we have ...

  V = (1/3)π(3 cm)^2(15 cm)

  V = 45π cm^3 . . . volume of each cup

Answer:

12

Step-by-step explanation:

Answer:

12 boys

Step-by-step explanation:

4/(4+6) × 30

= 4/10 × 30

= 12

Answer:

x=8+y/6

Step-by-step explanation:

Put variables on one side and digits on the next. Then solve.

Answer:

A, C, and E

Step-by-step explanation:

For the first one, distribute -11 to each value. A negative times a negative is a positive, so -11×-2c is 22c. -11×-3d is 33d. So the first one is right. For the third one, distribute 1/3 to each value. 1/3 of 66c is 22c, and 1/3 of 99d is 33d, so the third one is correct as well. For the last one, distribute 11 again. 11×2c is 22c and 11×3d is 33d, so the last one is correct.

Answer:

5/6 is he answer there isn't any other way for it to be improper

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

6/10 × $30 = $18

______