−7 + 3(r − 3) = 2(r − 1) please show work

Answer:

-5, -2, -1

Step-by-step explanation:

Inequalities

The question provides us with two conditions:

D+5≥-1

D+5≤4

Solve the first inequality. Subtract 5 to both terms:

D≥-1-5

D≥-6

Solve the second inequality. Subtract 5 to both terms:

D≤4-5

D≤-1

We must find three numbers that comply with both conditions, i.e. it must be greater or equal -6 and less or equal than -1. Any integer number in the interval [-6,-1] solves the problem. We select the following list:

-5, -2, -1

===========================================

Explanation:

You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.

If x is an even number, then x+2 is the next even number, and x+4 is the one after that.

Add them up to get

(x)+(x+2)+(x+4)

x+x+2+x+4

(x+x+x)+(2+4)

3x+6

Then divide by 3 to compute the average

(3x+6)/3

3x/3 + 6/3

x+2

Set this average equal to 48 and solve for x

x+2 = 48

x = 48-2

x = 46 is the smallest number

x+2 = 46+2 = 48 is the middle value

x+4 = 46+4 = 50 is the largest

Note how the middle value is exactly the average. This is because we have symmetry going on here.

It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.

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

Check:

add the values: 46+48+50 = 144

divide by three: 144/3 = 48

The average of the set {46,48,50} is 48

This confirms the answer

Answer:

The coach paid $69 on the three soccer balls

Step-by-step explanation:

If the coach bought 3 soccer balls for 26$, minus the $7 on each, plus the $4 tax on each, the expression would be:

3 × (26 - 7 + 4)

We put the addition and subtraction in parentheses because of PEMDAS. PEMDAS say we must solve for whatever is in the parentheses first, then exponents (there are none in the expression), ans then multiplication. If those numbers were not in parentheses, the answer would look completely different as we would multiply before subtracting and adding. We must find the total amount each ball cost first:

26 - 7 + 4 = 23

Each ball cost $23

If the coach bought 3 balls for $23 each, we have to multiply the two numbers:

3 × $23

$69

Answer:

130 points

Step-by-step explanation:

Answer:

130 points

Step-by-step explanation:

Answer:

2/5 of the cake

Step-by-step explanation:

First, find how much she gave away:

2/5 + 1/5

= 3/5

Then, to find how much she has left, subtract 3/5 from 1

1 - 3/5

= 2/5

So, she has 2/5 of the cake left for herself

Answer:

x = 5 when y = 12

Step-by-step explanation:

If y is inversely proportional to x, we can say that x1 : x2 = y2 : y1

The order of y2 and y1 respectively are interchanged as y is inversely proportional to x

Now let us simply substitute our known values, and solve for x2;

x1 : x2 = y2 : y1

20 : x2 = 12 : 3

20/x2 = 12/3

12(x2) = 3(20)

12(x2) = 60

x2 = 60/12 = 5

Answer:

4 :)

Step-by-step explanation:

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

complementary angles are angles that equal to 90º 

so let's add the terms (from angles A & B) and set them equal to 90º

3x+2 + x-4 = 90

4x -2 = 90

add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms

4x = 92

divide both sides by 4

x=23

We're not done though, we must plug in our x value to Angle A terms and Angle B terms.

(3(23) + 2)º = measure of Angle A            (solve for both of them)

(23-4)º =  = measure of Angle B

3(23) + 2 =

3(23) = 69 (add the 2)

71º is measure of angle A

23-4 = 19º

19º is measure of angle B

double-check

71+19 = 90º

It works

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

[tex]\tt Step-by-step~explanation:[/tex]

Remember: To find the slope, we use the equation Rise/Run.

[tex]\tt Step~1:[/tex]

Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.

[tex]\tt Step~2:[/tex]

To find the run. we count left/right. We could count 8 units. Our run is 8.

The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.

[tex]\tt Step~3:[/tex]

To find the slope, we use the formula rise/run.

[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]

[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]

Answer:

(-162)/7 or -23 1/7 as a mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer: (-162)/7

Answer:

The answer is A i think.

Step-by-step explanation:

Im taking the test lol.

Answer:

The answer is 16

Step-by-step explanation:

Answer:

a = 5

Step-by-step explanation:

3 (a + 3) + 6 = 30

Use the distibutive property to multiply 3 by a + 3

3a + 9 + 6 = 30

Add 9 and 6 to get 15

3a + 15 = 30

Subtract 15 from both sides

3a = 30 - 15

Subtract 15 from 30 to get 15.

3a = 15

Divide both sides by 3.

a = 15/3

Divide 15 by 3 to get 5

a = 5

Answer:

6 days

Step-by-step explanation

2/3 cups x 3 days = 2 cups

2 cups x 2 cups = 4 cups

4 cups = 6 days

Answer:

6

Step-by-step explanation:

1) Get 4 and divide it by 2/3

2) To do this you put the inverse which is 4/1 x 3/2

3) Cross divide, then multiply.

4) (4/1 x 3/2) so 4/2 = 2 which is 2 (and whatever you do to one side, you have to do to the other side) so 2/2 is 1. Then 3/1 = 3 and 1/1 = 1 so it stays same. So now the equation becomes 2/1 x 3/1

5) This means the ones cancel out since in math ones don't have to be seen even though they are there.

6) 2 x 3 = 6

So you get 6

Answer:

[tex]\frac{x}{5} < -9[/tex]

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer: 80

Step-by-step explanation:

50+50=100

180-100=80

Answer:

is 80

Step-by-step explanation:

~ p o t a t o ~

Answer:

20/3

Step-by-step explanation:

Answer:

Rate = 56 gal / 7 min

         = 8 gal / min

Step-by-step explanation:

Hope this helps leave a heart ad maybe brailiest

Answer:

c the vertex

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

odd functions are those function in which  

-f(x) = f(−x)  

if the function is odd , the graph of function is symmetrical about origin.

_________________________________________________

In the given problem

option B is correct answer

B) f(x) = 8x

replacing x with -x to satisfy the above described condition

f(-x) = 8(-x) = -8x

as we know 8x is equal to f(x)

f(-x) = -8x = -f(x)

hence,

f(-x) = -f(x)

hence, option B is correct answer.

Answer:

The answer is $49.95

Step-by-step explanation:

I Took the quiz :D i hope this helps <3

Answer:

1/4

Step-by-step explanation:

4 blocks have been picked, but just one wasn't looked at, therefore only that one has the letter.

Answer: 60

Step-by-step explanation:

All of the sides are equal meaning it is and equal lateral triangle

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

Answer:

BAC = 58, CAD = 32

Step-by-step explanation:

The angle of BAD is 90 degrees, this is represented by the red outline of a square. This means that adding angles BAC and CAD will equal 90.

15x - 2 + 7x + 4 = 90

Combine common terms

22x + 2 = 90

Solve for x

22x = 88

x = 4

Now you can plug x into the equation for each angle to find its value.

Angle BAC

15x - 2 = 15(4) - 2 = 60 - 2 = 58 degrees

Angle CAD

7x + 4 = 7(4) + 4 = 28 + 4 = 32 degrees

Answer:

2nd one 6th one 1st one 4th one 3rd one 5th one

Step-by-step explanation:

Answer:

-9/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both angles that have the "x" variable are the same and both angles that the "y" are the same since they are congruent meaning they are the same angle measure.

Solve for x.

6x - 5 = 8x - 50

~Add 5 to both sides

6x = 8x - 45

~Subtract 8 to both sides

-2x = -45

~Divide -2 to both sides

x = 45/2

Solve for y.

2y + 30 = 3y + 20

~Subtract 30 to both sides

2y = 3y - 10

~Subtract 3y to both sides

-y = -10

~Divide -1 to both sides

y = 10

Best of Luck!

Answer:

i think it's congruent .

Step-by-step explanation:

Answer:

complementary i believe

Step-by-step explanation:

smoovin

Answer:

Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Cubic function f(x)- x^3.

Answer:

b-4.2<-7.5

Step-by-step explanation:

b-4.2<-7.5

this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.

Answer:

b-4.2<-7.5

Step-by-step explanation: