Simplify x^−7. Write your answer using only positive exponents.

Answer:

27 years old

Step-by-step explanation:

Let Alvin's age be x and Elga's age is y:

y - x = 15

x + y = 27

2y = 42 (use elimination method)

y = 21

x = 6 (plug it back into either equation)

Therefore Alvin is 6 and Elga is 27

Answer:

29%

Step-by-step explanation:

48%+23%= 71%

100%-71%=29%

Answer:

In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h

So the answer is B. northbound bicyclist = 18 km/h

southbound bicyclist = 14 km/h

Step-by-step explanation:

the speed of the slower is x and the faster x+4 km/h

that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.

in 1h15m the slower goes 17.5 km and the faster 22.5 km

Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Answer:

The correct answer is whole

Answer:

answer is 12

....

.

.

...

.

. :-)))

Answer:

A.) x=-3

B.) I have no clue I'm sorry I haven't learned anything over square method

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Answer: I think C

Step-by-step explanation:

Answer:

is D

Step-by-step explanation:

because it's the answer

Answer:

o

Step-by-step explanation:

scale factor= 0..........

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!

Answer:

[tex]5\ \text{ft}[/tex]

Step-by-step explanation:

Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]

The width of the easement is [tex]x\ \text{ft}[/tex]

Buildable area 140 ft by 64 ft

[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]

The width of the easement is [tex]5\ \text{ft}[/tex].

Answer:

This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.

Answer:

the answer is b bc the line is positive

Step-by-step explanation:

The equation that best represents the line of best fit is -

y = (1/2)x - 1

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line of best fit for the data in the scatterplot.

The line passes through the points -

(0, - 1) and (2, 0).

Then, the slope will be -

m = 1/2

and the [y] - intercept is -1. So the equation that best represents the line of best fit is -

y = (1/2)x - 1

Therefore, the equation that best represents the line of best fit is -

y = (1/2)x - 1

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Step-by-step explanation:

721/100

It is correct answer

Answer:

x = 4, y = 3

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

i don't know if its  right lmk

Answer:

120 Degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

4021.2386 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

Answer:

The first step would be to add twelve to both sides

Step-by-step explanation:

Answer:

add 12 to both sides

Step-by-step explanation:

What we want to do, is to isolate the variable and the numbers on different sides.

if we divide 5x and -20 by 5, what about -12? It's part of the equation too.

If we add 20 to both sides, the numbers and the variable are on the same side, so we'll need to subtract it back off to isolate both.

If we multiply 12 by (what was there) it won't be isolating the variable or numbers. We'll just be increasing the value of the terms already there.

However, if we add 12 to both sides, we'll be isolating both the variable AND the numbers onto different sides.

therefore, add 12 to both sides.

Hope this helps!

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Answer:

Answer: 35

Step-by-step explanation:

five out  of every eight are carrying suitcases, so muiltiply  5/8 times 56 to get 35

Answer:

(x^2-5)(x + 7)

Step-by-step explanation:

Here, we want to factorize the given expression

That would be;

x^2(x + 7) - 5(x + 7)

= (x^2-5)(x+ 7)

Answer:

(x+7) (x^2 - 5)

Step-by-step explanation:

x

3

+7x

2

−5x−35

=x

2

(x)+x

2

(7)−5(x)−5(7)

=x

2

(x+7)−5(x+7)

​

Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:

\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}

​

=x

2

(x+7)−5(x+7)

=(x+7)(x

2

−5)

​

Answer:

B

Step-by-step explanation:

the third and fourth ones

Answer:

90

Step-by-step explanation:

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

[tex]\sqrt{900}[/tex]=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

[tex]a^2+b^2=c^2[/tex]

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

Learn more about a right angle;

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