Solve for p in the literal equation 5p + 9r = q.

Answer:

x = 6

Step-by-step explanation:

We can add both sides by 7:

4.5x = 20 + 7 = 27.

Then, we can divide both sides by 4.5, getting x = 27 / 4.5 = 6.

Answer:

the equation that passes through this is y= -7x-22

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,6) and has a slope of -7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -7. So you can right away fill in the equation for a line somewhat to read:

y=-7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,6). When x of the line is -4, y of the line must be 6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (-4,6).

So, why not plug in for x the number -4 and for y the number 6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,6). y=mx+b or 6=-7 × -4+b, or solving for b: b=6-(-7)(-4). b=-22.

Answer:

multiply

Step-by-step explanation:

i know this from 3rd grade

Answer:using division method

Step-by-step explanation:

Example is the square root of 144

144 divided by the less prime number till 144 can not be divided again

144÷2=72

72÷2=36

36÷2=18

18÷2=9

9÷3=3

3÷3=1

Then you group the prime numbers used

(2×2)×(2×2)×(3×3)

Then take one of the prime numbers form each group

2×2×3=12

Answer:

6

Step-by-step explanation:

Answer:

D. 66

Step-by-step explanation:

20% of 55 is 11

11 + 55 = 66

Answer:

A.11

Step-by-step explanation:

so 55 * 0.2 = 11

20% = 2/10

Answer:

I believe is is 2/7.

Step-by-step explanation:

Add green red and blue together and made that the denominator, 7, and make how many red balls their are, 2, the numerator.

Answer:

A 5,2

Step-by-step explanation:

Answer six seven and eight

Step-by-step explanation:

Answer:

Hector's estimate is reasonable.

Step-by-step explanation:

His estimate is reasonable because:

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]15x+6=10x+21[/tex]

Subtract 6 from both sides:

[tex]15x+6-6=10x+21-6[/tex]

[tex]15x=10x+15[/tex]

Subtract 10x from both sides:

[tex]15x-10x=10x+15-10x[/tex]

[tex]5x=15[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{15x + 6 = 10x + 21}[/tex]

Move 10x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x - 10x = 21 - 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 21 - 6}}[/tex]

Subtract 6 from 21

[tex] \dashrightarrow{ \sf{5x = 15}}[/tex]

Divide both sides by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{15}{5}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 3}}[/tex]

Hope I helped!

Best regards! :D

Answer:

116°

Step-by-step explanation:

mD1+mD2=180°

64°+mD2=180°

mD2=180°-64°

mD2=116°

Answer:

166°

Step-by-step explanation:

Since ∠A = ∠B,

the equation below helps to find the value of x and angle A:

7x+40-180=3x+112-180

7x-3x=112-40

4x=72

x=18

A=7*18+40=126

B=21+112=133

Answer:

-2

Step-by-step explanation:

Given the function f(x) = 3x+4. To find f(-2), we will substitute x = -2 into the given function as shown;

F(-2) = 3(-2)+4

F(-2) = -6+4

F(-2) = -2

Hence the value of f(-2) is -2

Answer:

13x+4+12y

Step-by-step explanation:

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]-x+1=x+21[/tex]

Subtract 1 from both sides:

[tex]-x+1-1=x+21-1\\-x=x+20[/tex]

Subtract x from both sides:

[tex]-x-x=x+20-x\\-2x=20[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{20}{-2}\\x=-10[/tex]

Answer:

0.79 or 0.80 I am pretty sure

Answer:

$ 360

Step-by-step explanation:

Puppy is on sale for = $ 324

It is marked down by 10% from original selling price of $ 360

Markup from the original buying cost = $ 54

Original Cost was = 360 - 54 = $ 306

$ 360 was the original price which was marked down by 10%  i.e. $ 36 to the sale price of $ 324

Answer:

1/5, 3.3%, 0.352

Step-by-step explanation:

1/5 as a decimal is 0.2

the greatest is 0.352 because it has the highest number in the tenths place.

that is why the answer is:

1/5, 3.3%, 0.352

Answer:0.352, 3.3%, 1/5

Step-by-step explanation:

0.352 is the smallest amount and 1/5 is obviously the biggest if you go from 100, 1/5 would be 20 and 3.3% would be 3.3 and then .352 would be last not even equaling 1.

Answer:

2

Step-by-step explanation:

-3+5= 2

Answer:

2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

-4(-1)+-3

4+(-3)

=1

Answer: [tex]1[/tex]

Multiply

[tex]-4*-1=4[/tex]

Note: Multiply a negative to a negative will equal a positive.

Add

[tex]4+(-3)=1[/tex]

Answer:

6x2+8x+2

this is the answer

Answer:

least:  sqrt( 9/5)

                5/3

             sqrt(5)

greatest: 2.5

Step-by-step explanation:

The least to greatest order is √9/4, 5/3, √5, and 2.5 after simplification the numbers.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know,

The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

Thus, the least to greatest order is √9/4, 5/3, √5, and 2.5 after simplification the numbers.

Learn more about the number here:

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Answer:

5 people

Step-by-step explanation:

Regular- 2/3 times 24/1 gets you 16 people

Decaf- 1/8 times 24/1 gets you 3 people

16+3 is 19

24-19=5 people

The number of customers that ordered a specialty coffee is 5.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Total number of customers = 24

Customers having regular coffee = Two-thirds

⇒ Number of customers having regular coffee = 2/3 * 24 = 16

Customers that had decaf = one-eight

⇒ Number of customers having decaf = 1/8 * 24 = 3

Total number of customers having regular coffee and decaf = 16 + 3 = 19

Therefore, Customers that ordered a specialty coffee = Total number of customers - Total number of customers having regular coffee and decaf

⇒ Customers that ordered a specialty coffee = 24 - 19

⇒ Customers that ordered a specialty coffee = 5

Thus, the number of customers that ordered a specialty coffee is 5.

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Answer:

B

Step-by-step explanation:

because it is (5,15) and B is (5,15)

Answer:

$4.12

Step-by-step explanation:

$26.78 / 6.5 gallons = $4.12 per gallon

Answer: $4.12

Step-by-step explanation: For every gallon the unit rate is $4.12 per gallon.

Hope this helped!

Answer:

8

Step-by-step explanation:

6*(n + 15) = -42

Divide both sides by 6

6*(n - 15)/6 = -42/6

n - 15 = -7

n = -7 + 15

n = 8

The equation is solved and the number is n = -22

Given data ,

The sum of a number and 15 can be written as (n + 15)

Six times the sum of a number and 15 can be expressed as 6(n + 15).

According to the given information, this expression is equal to -42. So, we can write the equation:

6(n + 15) = -42

To solve for n, we need to simplify and isolate the variable.

Distribute 6 to the terms inside the parentheses:

6n + 6(15) = -42

Simplify:

6n + 90 = -42

Next, we want to isolate the variable term. Subtract 90 from both sides of the equation:

6n + 90 - 90 = -42 - 90

Simplify:

6n = -132

Finally, divide both sides of the equation by 6 to solve for n:

n = -132 / 6

Simplify:

n = -22

Hence , the number n is -22

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Answer:

Measure of Central Angle/360:

1/4

1/2

3/4

1/4

1/2

3/4

Visually, how much of the circle is covered by the sector?

one-fourth

one-half

three-fourths

one-fourth

one-half  

three-fourths  

Step-by-step explanation: Plato Answer

Plato exsample :) good luck