In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

Answer:

Let set A = {x|x<-3}

Let set B = {x|x>5}

The solution for set A could be graphically represented with a number line that contained an unshaded circle surrounding the integer -3 and all values to the left or less than -3 would be shaded.

The solution for set B could be graphically represented with a number line that contained an unshaded circle surrounding the integer 5 and all values to the right of 5 or greater than 5 would be shaded.

If you placed the two number lines close to each other, you would see that they do not intersect.

Thus there is no solution for the intersection of set A and set B as defined in the given problem.

Step-by-step explanation:

Answer: 1, -1, 1, -1

Step-by-step explanation:

if it the power is odd and there is parenthesis the answer will be negative. If it is even then the answer will be positive

Answer:1, -1, 1, -1

Step-by-step explanation:

Even power results in positive for negative numbers, odd power results in negative for negative numbers

a.) m = -1

b.) m = 0

c.) m = undefined

d.) m = 1/2

Answer (bolded part is slope):

a.) y = -x + 2 (slope = -1)

b.) y = -2 (slope = 0)

c.) x = 3 (slope = undefined)

d.) y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{3}{2}[/tex] (slope = 2/3)

We are given the equation:

log₂(x-3) + log₂x - log₂(x+2) = 2

When is it defined:

in this equation, log₂(x-3) and log₂(x+2) can only be defined when

x-3 >0 and x+2 > 0

solving for the values of x, we get:

x > 3    and   x > -2

which basically means x > 3

Because we are looking for an inequality which is true for both x>-2 and x>3

Hence, x will have a value greater than 3

Solving for x:

using the product rule [logₐb + logₐc = logₐ(bc)]

log₂[(x-3)(x)] - log₂(x+2) = 2  

using the quotient rule [logₐb - logₐc = logₐ(b/c)]

log₂[(x-3)(x) / (x+2)] = 2

from the property [ aˣ = b  ⇒  logₐb = x]

(x² - 3x) / (x+2) = 2²

x² - 3x = 4x + 8

x² - 7x - 8 = 0

x² + x - 8x - 8 = 0

x(x+1) - 8(x+1) = 0

(x-8)(x+1) = 0

(x-8) = 0    OR    (x+1) = 0

x = 8      OR      x = -1

We know that the equation is defined only for x > 3

We can see that x = 8 satisfies that inequality

Therefore, x = 8

Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

[tex]m_{NA}[/tex] = (- 3 - 2) / (- 4 - 1) = 1 ........ (1)

[tex]m_{TS}[/tex] = (- 4 - 1) / (3 - 8 ) = 1 ......... (2)

From (1) and (2) ⇒ NA║TS

[tex]m_{AT}[/tex] = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... (3)

[tex]m_{NS}[/tex] = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... (4)

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

Answer:

−7(2x−11)

use distributive property

-7(2x)-7(-11)

-14x+77

Answer:

-14x + 77

Step-by-step explanation:

-7(2x-11)

= -14x + 77

Answer:

Step-by-step explanation:

Given

The sum of two numbers = 50.

one of the numbers is twice of the other

Let one number =X

So second number=2x

Sum of two number =50

X+2X=50

3X=50

X=50/3

9ne no is X=50/3

Other is 2x= 100/3

difference of the number=100/3-50/3

=50/3.

Answer:

-9+6=-3

Step-by-step explanation:

Answer:

53 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53

Answer:

0.0034

Step-by-step explanation:

Answer:

16x + 9 = 4x

Step-by-step explanation:

9x+7x+26-17=2x-3x+5x
16x+9=4x

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

Answer:

1/18

Step-by-step explanation:

There are only two possibilities that result in a sum of 3, (2,1) or (1,2).

Answer: Points (-1 , 7.5), (0 , 6), and (1 , 4.5).

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12 x 2 = 24

12 + 12 = 24

Answer:

The answer for the question is eight

Answer:

1:C Triangle STU is similar to triangle XYU

2:B subtraction property

Step-by-step explanation:

i just did the test

Applying the AA similarity theorem, the missing parts of the proof are:

According to the AA similarity theorem, if two triangles have two corresponding congruent angles, then both triangles are similar.

In the proof given, triangles STU and XYU have two pairs of corresponding angles that are congruent, therefore, triangle STU is similar to triangle XYU by AA similarity theorem.

Also, subtraction property was applied in the proof. Thus, the missing parts of the proof are:

Learn more about the AA similarity theorem on:

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Answer:

16

Step-by-step explanation:

First I plugged in the values like [tex](-2)^{2} |6-(3(-2))|[/tex]

Then I Solved [tex](-2)^{2}[/tex] and got 4

Than I multiplied 3 by -2 and got -6

Now the equation looks like 4|6-(-6)| which will now be 4|6+6|

then add 6 and 6 together and you get 12 now you add 4 and 12 together and you get your answer 16

Hope this helps

Answer:

20-12-6=2

Step-by-step explanation:

why is this in college math bruh

Answer:

You should get $2 in change

Step-by-step explanation:

Answer: 8 dollars

Step-by

Answer:

2/5   0

Step-by-step explanation:

Answer: I think it would be A

Step-by-step explanation: If you do the first equation it would equal -0.1 then if you do equation A -6.7 plus -0.1 = -6.8 plus 6.8 = 0

Answer:

A

Step-by-step explanation:

It's letter A

The x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Equation of line A

y=-2/3x-4

When y=0

0=-2/3x-4

4=-2/3x

-6=x

So the x intercept for line A is -6.

Let us find equation of line B by using table

Slope = -1

Now let us find y intercept

2=-1(-1)+b

b=3

So equation is y=-x+3

Now let us find the  x intercept

Put y=0

0=-x+3

x=3

(3, 0) is x intercept of line B

Hence, the x intercept of line A is (-6, 0) and  x intercept of line B is (3, 0)

To learn more on slope of line click:

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Answer:

Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1

Step-by-step explanation:

From the graph attached,

Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).

A ∝ L

A = kL

Here 'k' is the proportionality constant.

k = [tex]\frac{A}{L}[/tex]

  = [tex]\frac{6}{1}[/tex]

Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.

Answer:

24

Step-by-step explanation:

Use the distance formula, d = sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}. Using this you then get 24.