16) Amari ran three-quarter the distance Mary did. Amari ran 12 miles. Write and solve an equation that represents how far Mary​

Answer:

Step-by-step explanation:

2|p|= 4

2p = 4

p = 2

-2p = 4

p = -2

(-2, 2)

Answer:

3/5(0) = 0

3/5(5) = 3

3/5(10) = 6

Step-by-step explanation:

Sub the x (domain) into the equation and solve.

Answer:

x (0) = y (0)

x (5) = y (3)

x (10) = y (6)

Step-by-step explanation:

You substitute the given x in the table into the equation.

For example:

y= 3/5 (0)

= 0

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

Answer:

x = 2, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 4y = 18 → (1)

5x + 6y = 28 → (2)

Multiplying (1) by 5 and (2) by - 3 , then adding will eliminate the term in x

15x + 20y = 90 → (3)

- 15x - 18y = - 84 → (4)

Add (3) and (4) term by term to eliminate x

2y = 6 ( divide both sides by 2 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(3) = 18

3x + 12 = 18 ( subtract 12 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Solution is (2, 3 )

The required amount of mixed juice without the apple juice is 5.553.

Given that,

A fruit juice company includes 1.197 ounces of apple juice in a 6.75​-ounce bottle of mixed fruit juice.  To determine how much of the bottle of mixed fruit juice is NOT apple ​juice.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The total amount of mixed juice = 6.75 ounces,
Amount of apple juice contains = 1.197
Amount of mixed jo=uice without apple juice = 6.75 - 1.197 = 5.553

Thus, the required amount of mixed juice without the apple juice is 5.553.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

$885.01

Step-by-step explanation:

Answer:

$885.51

Step-by-step explanation:

$835.50-$13.29= $822.21

-The first step is to subtract the deduction. Deduction always means subtract.

$822.21+$34.35= $856.56

-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.

$856.56+$28.95= $885.51

-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.

Answer:

the answer is 91

you have to multiply 7 and 13 to get your answer

Answer:

y = 8

Step-by-step explanation:

Step 1: Write equation

3 - 5y = -37

Step 2: Subtract 3 on both sides

-5y = -40

Step 3: Divide both sides by -5

y = 8

Answer:

  35

Step-by-step explanation:

Let h represent the number of hot dogs Ryan eats in 15 minutes. Since the rates are the same, we have ...

  dogs/minutes = h/15 = 14/6

Multiplying by 15 gives us ...

  h = (15·14)/6 = 35

Ryan can eat 35 hot dogs in 15 minutes.

Answer:

227.5

Step-by-step explanation:

Find the number that is increased by 30% to get to 325.  

100-30 = 70.

In other words, what number is 70% of 325.

325 x .70 = 227.5

The original price of the ring was 227.5.

Check your work, 227.5 = 70% of X

227.5  / .70  = 325

Answer:

The cost before the increase is £250.

Step-by-step explanation:

Given that after 30% increases, the cost of the ring is £325 so we can assume that 130% is £325. Now, we have to form an expression in term of x where x represents the original cost :

[tex] \frac{130}{100} \times x = 325[/tex]

Next, we have to solve it :

[tex]x = 325 \div \frac{130}{100} [/tex]

[tex]x = 325 \times \frac{100}{130} [/tex]

[tex]x = 250[/tex]

Answer:

Step-by-step explanation:

Part A:

C = 10t + s

Part B:

10(3) + 8

30 + 8 = $38

Answer:

it is 16 dollars

Step-by-step explanation:

if you divide 200 by 12 it is 16 aka i used my calculator

Answer:

each lesson would cost $16.70

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )

[tex]\frac{y}{9}[/tex] + 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Answer:

no, 8.33865... is not rational

Step-by-step explanation:

it's an irrational number

Answer:

The number is 888888

Step-by-step explanation:

Here, we are interested in knowing the six digit number thought of by No time.

The clue we have here is that the six digit number has same value of digit for all its constituent.

Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.

So the 6 digit number is 888888

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \frac{6}{20} \: \: \: {ft}^{2} }}}}}[/tex]

Option D is correct.

Step-by-step explanation:

Length of the rectangle = [tex] \sf{6 \frac{4}{5} \: ft}[/tex]

Width of the rectangle = [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

Finding the area of a rectangle having length of [tex] \sf{6 \frac{4}{5} \: ft}[/tex] and width of [tex] \sf{4 \frac{3}{4} } \: ft[/tex]

[tex] \boxed{ \sf{area \: of \: a \: rectangle = length \times width}}[/tex]

[tex] \dashrightarrow{ \sf{6 \frac{4}{5} \times 4 \frac{3}{4} }}[/tex]

Convert the mixed number into improper fraction

[tex] \dashrightarrow{ \sf{ \frac{6 \times 5 + 4}{5} \times \frac{4 \times 4 + 3}{4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{30 + 4}{5} \times \frac{16 + 3}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{34}{5} \times \frac{19}{4}}} [/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator

[tex] \dashrightarrow{ \sf{ \frac{34 \times 19}{5 \times 4}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{646}{20} }}[/tex]

Convert the improper fraction into mixed number

[tex] \dashrightarrow{ \boxed{ \sf{32 \frac{6}{20} \: \: {ft}^{2} }}} [/tex]

Hope I helped!

Best regards! :D

Answer:

a)$29.25

b)7hours

comments if you need an explanation

Answer:

Part A: 29.25

Part B: 7 hours

Step-by-step explanation:

Part A :

6.50 times 4.5 equal 29.25

Part B:

45.50 divided by 6.5 equal 7

hopefully this helps you :)

pls give me brainlest :)

Step-by-step explanation:

C = 25p

p = number of people

C = Total cost of admission

For 4 people, Total cost is

C = 25 × 4 = 100 dollars

Answer:

6%per year

Step-by-step explanation:

210000/300000=.7

it increased by 30%

30/5=6%per year

The ratio of the increase to the original will be 0.43.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Original value = $210,000

Final value = $300,000

Increment = 300000 - 210000 = 90000

The ratio of increment to original

⇒ 90000 / 210000 = 0.43

Hence "The ratio of the increase to the original will be 0.43".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

132/4 = 33, x = 33 boxes

Answer:

4x=132

you divide by 4 on both side

x should be by it self

x=132/4

x=33

If you want make a harder equations use this

4x+10=142

subtract 10 9n both side

-10+10 +4x= 142-10

4x=132

divide by four on both side

x=132/4

x=33

The simplest form of the number 12/24 is,

⇒ 1 / 2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The fraction is,

⇒ 12 / 24

Now, We can simplify the fraction in simplest form as;

⇒ 12 / 24

⇒ 6 / 12

⇒ 3 / 6

⇒ 1 / 2

Thus, The simplest form of the number 12/24 is,

⇒ 1 / 2

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ5

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication

[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]

[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14

[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]

[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]

[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56

[tex] \hookrightarrow{ \sf{k = 53}}[/tex]

The value of k is 53

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

k/14 + 3 = 4

k/14 = 1

k = 14

Answer:

8780.

Step-by-step explanation:

-6 times -6 is 36 + 8744

Answer:

8780

Step-by-step explanation:

We simply substitute "-6" in for "y"

[tex]y^2 + 8744\\\\(-6)^2 +8744\\\\36 + 8744\\\\8780[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

the point is (3,-2) and slope - 4/5

The equation of the line is

Hope this helps you

The point-slope equation of the line is given by:

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

It is given by:

[tex]y - y_0 = m(x - x_0)[/tex].

In which:

The line that passes through (3,-2) with a slope of -4/5, hence the parameters are given by:

[tex]x_0 = 3, y_0 = -2, m = -\frac{4}{5}[/tex]

Thus, the equation of the line is:

[tex]y - y_0 = m(x - x_0)[/tex].

[tex]y - (-2) = -\frac{4}{5}(x - 3)[/tex].

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:13

Step-by-step explanation:

13^2

Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?