Tony loves collecting toy cars. He wants to write a story problem for his math assignment using the topic of cars, and as the equation. Help Tony write a story problem using the equation and topic he chose, and then solve it.

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

0, -11, -5, and 20

Step-by-step explanation:

The inequality can be read as x is less than -12.8 (or -12.8 is greater than x)

This means that we need to pick x values that are greater than -12.8 for the inequality to be false.

The values greater than -12.8 are:

0, -11, -5, and 20

Answer:

x = 2, y = 5

Step-by-step explanation:

Given the 2 equations

y = - 2x + 9 → (1)

y = 4x - 3 → (2)

Substitute y = 4x - 3 into (1)

4x - 3 = - 2x + 9 ( add 2x to both sides )

6x - 3 = 9 ( add 3 to both sides )

6x = 12 ( divide both sides by 6 )x = 2

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

Substituting into (2)

y = 4(2) - 3 = 8 - 3 = 5

Then x = 2, y = 5

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer:

\(\frac{16}{27}\)

Step-by-step explanation:

From the table, we notice that the total number of students is:

\(3+10+8+6=27\)

Then, along the second column of the table, we notice that the number of students who do not have a brother is:

\(10+6=16\)

So, the probability that a randomly chosen student does not have a brother is:

\(\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}\)

The cost of 1 book is $10.75 and the cost of 1 pen is $1.80.

Given,

Number of books bought by Lana is = 2

Number of pens bought by Lana is = 4

Total expenditure by Lana for purchasing 2 books and 4 pens = $28.70

Let the cost of 1 book be x and the cost 1 pen be y.

Then the first equation will be 2x + 4y = 28.70                     (i)

Number of books bought by Angelina is = 2

Number of pens bought by Angelina is = 10

Total expenditure by Angelina for purchasing 2 books and 10 pens = $39.50                            

Then the second equation will be 2x + 10y = 39.50              (ii)

Number of books bought by Donna is = 2

Number of pens bought by Donna is = 12

Total expenditure by Donna for purchasing 2 books and 12 pens = $41.80

Then the third equation will be 2x + 12y = 41.80                     (iii)

On solving equation (i) and (ii),

2x + 4y = 28.70 ⇒ x = (28.70 - 4y) / 2 ⇒ x = 14.35 - 2y

Now substituting the value of x in equation (ii),

2(14.35 - 2y ) + 10y = 39.50 ⇒ 28.70 - 4y + 10y = 39.50

⇒28.70 + 6y = 39.50 ⇒ y = 10.8/6 ⇒ y = 1.80

Then x = 14.35 - 2y = 14.35 - 2×1.80 = 10.75 ⇒ x = 10.75

Hence, the cost of 1 book is $10.75 and the cost of 1 pen is $1.80.

To learn more about the equations :

https://brainly.com/question/29657983?referrer=searchResults

Answer:

The cost of 1 book is $10.75 and the cost of 1 pen is $1.80.

Step-by-step explanation:

Answer: The first one is y=20x + 40;280

The second one is y=n+6

Step-by-step explanation:

The first one is y=20x+40 this is because when x is replaced with any number 20 will get multiplied by that number for example.

y=20x+40

If we assume that x is 4:

y=20(4)+40

y=80+40

y=120

our answer is 120.

I hope this helped.

Answer:

64.05$

Step-by-step explanation:

Answer:

x = 5, y = 5

Step-by-step explanation:

\( {5}^{x - 3} \times {3}^{2y - 8} = 225 \\ {5}^{x - 3} \times {3}^{2y - 8} = 25 \times 9 \\ {5}^{x - 3} \times {3}^{2y - 8} = {5}^{2} \times {3}^{2} \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3} = {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2

\\ \huge \red{ \boxed{ x = 5}} \\ \\

{3}^{2y - 8} = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ 2y = 2 + 8 \\ 2y = 10 \\ y = \frac{10}{2} \\ \huge \purple{ \boxed{y = 5}}\)

Answer: The answer is false!

Step-by-step explanation: You may think its true but NO, its not true!

Answer: false

Step-by-step explanation:

the correct answer is a dialect of spanish, chilean spanish.

Answer:

there is no list options so we cannot answer this for you

Step-by-step explanation:

Answer:

A) 6

Step-by-step explanation:

\(y-x=2y+1\\y-(-7)=2y+1\\y+7=2y+1\\7=y+1\\6=y\)

The output is y=6 when the input is x=-7

Answer:

6 ft

Step-by-step explanation:

Given:

r (radius) = 3 ft

Find: d (diameter) - ?

The diameter of a circle is equal to double radius:

\(d = 2r\)

\(d = 2 \times 3 = 6 \: ft\)

Answer:

-9

Step-by-step explanation:

5(-9-4)

5(-13)

-65

4(-9+15)

4(6)

24

-65<24 so -9 is false because -65 is not smaller than 24

The solution is Option A.

The value of n which makes the inequality 5 ( n − 4 ) < 4 ( n + 15 ) false is when n = 80

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

5 ( n − 4 ) < 4 ( n + 15 )

Now , on substituting the value of n as 80 in the inequality equation , we get

5 ( n − 4 ) < 4 ( n + 15 )

when n = 80

5 ( 80 - 4 ) < 4 ( 80 + 15 )

5 ( 76 ) < 4 ( 95 )

380 = 380

So , the inequality will become false as the two sides of the equation will result in value 380 when n = 80

Hence ,

The value of n = 80 in the inequality equation 5 ( n − 4 ) < 4 ( n + 15 ) will make it false

To learn more about inequality equation click :

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Answer:

5065.1

Step-by-step explanation:

To go down the line, you need to do the 15 x 15 x 15 x 15 (15^4), in which equals 50,625. Then, 50,625 - 10 which equals 50,615. Next, 50,615 + 36 which equals 50,651. Finally, you would need to do 50,651 ÷ 10. Making it *5065.1*

Answer:

x =14

Step-by-step explanation:

Vertical angles are equal.

This means that 3x = 42

Divide each side by 3

3x/3 = 42/3

x =14

Answer: x=46.

Step-by-step explanation:

Vertical angles are opposite of one another. A whole line is 180 degrees. You have to subtract 42 from 180 which gives you 138. Then you divide by 3. Then you get 46.

Answer:

-15 and -8 would satisfy both

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1/3 tbsp flakes = 4 tbsp sesame

x3                 x3

1 tbsp flakes = 12 tbsp sesame

Answer:

C

Step-by-step explanation:

A. False because the number of students who prefer strawberry is not half the number of students who prefer cookies and cream (15 ÷ 2 = 7.5, not 8)

B. False because the number of students who prefer chocolate is not higher than the combined number of those who prefer vanilla and those who prefer cookies and cream (12 is not greater than 18)

C. True because the number of students who prefer strawberry is lower than the combined number of those who prefer vanilla and those who prefer cookies and cream (12 is less than 18)

D. False because do not most student prefer cookies and cream (12 is greater than 8)

Answer: 3/4 teaspoons of pepper for 9 potatoes

Step-by-step explanation:

3 x 3 = 9

3 x 1/4 = 3/4

or

3 + 3 + 3 = 9

1/4 + 1/4 + 1/4 = 3/4

   Submarine must descend by 12 feet in the fifth minute.

From the table given in picture,

Let the distance descended by submarine in 5th minute = x feet

Average distance descended by the submarine = \(\frac{\text{Total distance distended}}{\text{Duration or time}}\)

                                                                                = \(\frac{8+10+8+12+x}{5}\)

                                                                                = \(\frac{38+x}{5}\) feet per minute

Statement given in the question → "Submarine must descend at an average rate of at least 10 feet per minute"

So the inequality for the statement will be,

\(\frac{38+x}{5}\geq 10\)

38 + x ≥ 50

x ≥ 50 - 38

x ≥ 12

    Therefore, submarine must descend 12 feet in the 5th minute.

Learn more about the average here,

https://brainly.com/question/14194794?referrer=searchResults

Answer:

The answer is 8$ less

Step-by-step explanation:

find 15% of 40 = 6 and 35% of 40 = 14

Subtract 6 from 40 and 14 from 40

get 34 and 26

subtract 26 from 34

taadaa

Answer:

hope this helps ¯\_(ツ)_/¯

Step-by-step explanation:

Henry must use 6 pints of red paint if he uses 9 pints of yellow paint.

This is true since the original ratio was 2:3 (red paint to yellow paint)

You would just need to multiply by 3 to get 6:9.

You can also re-check this by dividing by three to get 2:3 again.

This means that 2:3 and 6:9 are equivalent ratios

Brainliest is appreciated

Henry needs to use 6 pints of red paint if he's using 9 pints of yellow paint, becuase if we multiply the ratio 2:3 by 3x we get 6:9, and altogether without the ratio, he'll have to use 6+9=15 pints of paint to get the specific shade of orange..............Hope u understand, I'm also bad at maths T-T