The sum of two numbers is 42. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:

Answer:

Use elimination, x = 6, y = 59

Step-by-step explanation:

1) Multiply Equation 1 by 2

E1: 4x +10y = 614

E2: 6x+10y = 626

2) Subtract E2 from E1

-2x = -12

x = 6

3) Substitute x = 6 into one of the equations (I used the original Equation 1)

2(6) +5y = 307

12+ 5y = 307

5y = 295

y = 59

A van can carry 6 students, and a bus can carry 59 students.

Answer:

Cindy got 45 cookies.

Step-by-step explanation:

60*.75=45

9514 1404 393

Answer:

  1386 miles

Step-by-step explanation:

The plane flies ...

  (150 mi/h)(1.6 h) = 240 mi

on its first leg. Then it flies ...

  (150 mi/h)(9.1 h) = 1365 mi

on the second leg. The flight directions differ by 90°, so the distance from the starting point can be found using the Pythagorean theorem.

  c² = 240² +1395² = 1920825

  c = √1920825 ≈ 1385.94

The plane is about 1386 miles from its starting point.

Answer:

8a+40

Step-by-step explanation:

8(a+5)

Distribute the (8) by multiplying it by the (a) and the (5).

Answer:

4x+10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2(6+2x-1) = 8. Mark me Brainliest.

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

Answer:

7.) y=8, x=7

8.) y=3, x=11

9.) h=65, k=10

Step-by-step explanation:

First, let's start with #7. By definition of a parallelogram, we can say that opposite sides are congruent, meaning 2y-7=9 and 3x+2=23.

So, solving these problems-

2y-7=9

2y=16

y=8

3x+2=23

3x=21

x=7

Now, let's move on to #8. For this, a defining property of a parallelogram is that the diagonals bisect each other. So, 3y+5=14 and 2x-5=17.

Let's solve these equations-

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

Now, finally #9. Another defining property of a parallelogram is that opposite angles are congruent. So, 2h=130 and 5k=50.

So, h= 65 and k= 10.

The answer is C

Step-by-step explanation:

180-63.2

Answer:

105

Step-by-step explanation:

Answer:

36π mm

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

If r = 48 mm and Ф = 3π/4, then the arc length is:

s = rФ = (48 mm)(3π/4) = 36π mm

Answer:

36π

Step-by-step explanation:

Answer:

Check pdf

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

Ur car loses 2500 dollars in value per year

Answer:

a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

Answer:

the area is multiplied by 4

Step-by-step explanation:

ex. i did height and base both are two the area is two

then if both are 4 then the are is 8

I checked with base and height = 4, area = 8

base and height = 8, area =32

Answer:

B. g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4

Step-by-step explanation:

edg 2021 .. its correct

The equation that is graphed along with the parent function is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]

The parent function is a cube root function, represented as:

[tex]f(x) = \sqrt[3]{x}[/tex]

First, the parent function is horizontally shifted right by 3 units

The rule of this transformation is:

[tex](x,y) \to (x - 3,y)[/tex]

So, we have:

[tex]f'(x) = \sqrt[3]{x - 3}[/tex]

Next, the transformed function is vertically shifted up by 4 units

The rule of this transformation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=\sqrt[3]{x-3} +4[/tex]

Hence, the equation is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]

Read more about function transformation at:

https://brainly.com/question/18249265

Answer:

Step-by-step explanation:

Well if you want the answers there are 3 different ways

x = 12/5

or

x = 2.4

Answer:

d) 32

Step-by-step explanation:

If 16 blue cones are there, and the blue cones are 50 % of all cones, tat means that half or 50% of all cones are blue.

50% +50% = 100%

And hence,

16 + 16 = 32 blue cones

Hope it helps :)

Answer:

Not enough information. Where is the picture?

Step-by-step explanation:

Please add picture.

Answer:62

Step-by-step explanation:

Answer:

66°

I hope it helps.........

The missing angle ∠ABC is 35°.

Let the missing angle be x and y To find the missing angle y, we need to solve the equation 102° + x + y = 180, where x and y are angles.

Given that x + 137 = 180, we can substitute the value of x in terms of 180 - 137:

x = 180 - 137

x = 43°

Now, we can substitute the value of x into the equation y =∠ABC  

102° + x + y = 180

102° + 43° + y = 180

Combining like terms:

145° + y = 180

To find y, we subtract 145° from both sides:

y = 180 - 145

y = 35°

Therefore, the missing angle ∠ABC is 35°.

To know more about angle click here :

https://brainly.com/question/30377304

#SPJ2

Answer:

∠3 and ∠5

Step-by-step explanation:

Answer:

Slope: -8

y-intercept: (0,2)

Step-by-step explanation: Hope this helped! Use the slope intercept form to find the slope and y.

Answer:

[tex]H_o:\mu = 26[/tex]

[tex]H_a:\mu < 26[/tex]

Step-by-step explanation:

Given

Average score is less than 26

Required

Determine the null and alternate hypothesis

Since the average is said to be less than 26; that represents the alternate hypothesis.

The null hypothesis will be:

[tex]Average = 26[/tex]

So, we have:

[tex]H_o:\mu = 26[/tex]

And the alternate hypothesis

[tex]H_a:\mu < 26[/tex]

Answer:

3.99 or 4

Step-by-step explanation:

The sum of the six known measurements is 78.4

3.99+78.4=82.39

Divide 82.39 by seven to get the average and it equals 11.77