How many solutions does the equation 6a − 3a − 6 = −2 + 3 have?

Two
None
One
Infinitely many

Answer: 108 cm^3

Step-by-step explanation:

2 x 5 x 8 = 80

7 x 2 x 2 = 28

80 + 28 = 108

Answer:

Explanation:

4.7 + (-3.65)

= 4.7 - 3.65

Answer:

1.05

Step-by-step explanation:

4.7 + (-3.65)

= 4.7 - 3.65

= 1.05

Let me know if you have any questions :)

Answer:

a. Jean, because her commute is in the country.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score will have the longer commute.

Mary:

Travels for 35 minutes. In big cities, average commutes are 40 minutes with a standard deviation of 15 minutes. This means that [tex]X = 35, \mu = 40, \sigma = 15[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 40}{15}[/tex]

[tex]Z = -0.33[/tex]

Jean:

Travels for 30 minutes. In rural areas, the average commute is 25 minutes with a standard deviation of 6 minutes. This means that [tex]X = 30, \mu = 25, \sigma = 6[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 25}{6}[/tex]

[tex]Z = 0.83[/tex]

Due to being in the Country, Jean's z-score is higher, so her commute is longer. The correct answer is given by option A.

The true statement is (a) Jean, because her commute is in the country.

For Mary, we have the following parameter:

x = 35 minutes from  the city

For Jean, we have the following parameter:

x = 30 minutes from  the county

The z-score is calculated as:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

For the city, we have:

[tex]\bar x = 40[/tex]

[tex]\sigma = 15[/tex]

So, the z-score of Mary is:

[tex]z = \frac{35 - 40}{15} = -0.33[/tex]

For the country, we have:

[tex]\bar x = 25[/tex]

[tex]\sigma = 6[/tex]

So, the z-score of Jean is:

[tex]z = \frac{30 - 25}{6} = 0.83[/tex]

0.83 is greater than -0.33

Hence, Jean has a longer commute

Read more about normal distribution at:

https://brainly.com/question/25638875

Answer:

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5

Answer:

Here is the graph of y is a function of x.

Answer:

Step-by-step explanation:

In both problems the area is made up of a rectangle and a triangle. The area of the rectangle is A=xy. The area of a triangle is A=bh/2

First problem

A=4(13)+5(13-6)/2

A=69.5ft^2

Second problem

A=5(3)+(6-3)(5-2)/2

A=19.5m^2

Answer:

Step-by-step explanation:

The specifications of a decagonal pyramid would be the following

It has one face that is a decagon.

35 diagonals in the base.

10 isosceles triangles as faces above the base

11 vertices - 10 in the base and 1 at the top

20 edges - 10 in the base and 10 above the base

This can all be seen in the picture of the decagonal pyramid below. The only decagonal face is on the base of the pyramid as the top is a vertice where all of the triangles meet.

Answer:

~B,D,E~

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

Answer:

5

Step-by-step explanation:

Area of right angle Triangle:

6.5 * 9 * 1/2 = 29.25

2nd way to find area:

1/2 * base * height

Since we have area and base:

1/2 * 11.1 * h = 29.25

= 5.27m

= 5m (nearest tenth)

The height h of the roof to the nearest tenth is 5.3 m

Right angle triangle has one of its angles as 90 degrees. The triangles are likewise similar and can be used to find the height h of the roof.

Therefore,

cross multiply

11.1 h = 9 × 6.5

11.1 h = 58.5

divide both sides by 11.1

11.1 h / 11.1 = 58.5 / 11.1

h = 5.27027027027

h = 5.3 m

learn more on right triangle here: https://brainly.com/question/4280778

Answer:

8.25

Step-by-step explanation:

15*.45=6.75

15-6.75=8.25

Answer:

Step-by-step explanation:

15x45%= $6.75

Answer

2

Step-by-step explanation:

Answer:

There are no questions....

Are they on your prev one?

Answer:

142.333....

Step-by-step explanation: just use a calculator

Answer:

142.34

Step-by-step explanation:

427 ÷ 3 = 142.34

good luck, i hope this helps :)

Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(3-2)

m=(-2+5)/1

m=3/1

m=3

Answer:

104.04 ft.²

Step-by-step explanation:

length times width

Answer:

104.042

Step-by-step explanation:

area of rectangle=length*width

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

2/4=(2/4x-1/4x)+3/4

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

Answer:

steps below

Step-by-step explanation:

√2 * sin(x+45°)

= √2 * (sinx cos45° + cosxsin45°)

= √2 * (sinx * √2/2 + cosx * √2/2 )

= (√2 * √2/2) (sinx + cosx)

= sinx + cosx

Answer:

swdfghjkl;'[

Step-by-step explanation:

asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf

Answer:

nbmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

Hello there!

The shown angles are vertical angles

if you didn't know vertical angles are congruent

That being said we can create equation

5x + 40 = 115

now we solve for x

step 1 subtract 40 from each side

40 - 40 cancels out

115 - 45 = 75

now we have 75 = 5x

step 2 divide each side by 5

5x/5=x

75/5=15

we're left with x = 15

Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3