Mr. Ramos's monthly mileage allowance for a company car is 750 miles. He drove 8 miles per day for 10 days, then went on a 3-day trip. The table shows the distance he drove on each day of the trip.

Trip Mileage

Day Miles Driven
Tuesday 156.1
Wednesday 240.8
Thursday 82.0
After the trip, how many miles remain in Mr. Ramos's monthly allowance? Record your answer in the box.

Answer:

t = 15

Step-by-step explanation:

[tex] = > \frac{t}{3} = \frac{5}{1} [/tex]

On cross multiplication,

[tex] = > t \times 1 = 5 \times 3 \\ = > t = 15[/tex]

Hope you've understood the solution.

Answer:

Step-by-step explanation:

In proportions, you need to isolate t on one side of the equation.

Given:

[tex]\sf{\dfrac{t}{3}=\dfrac{5}{1} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{t}{3}=5}[/tex]

First, multiply by 3 from both sides.

[tex]\sf{\dfrac{3t}{3}=5*3}[/tex]

Solve.

Multiply the numbers from left to right.

5*3=15

Solutions:

[tex]\Longrightarrow: \boxed{\sf{t=15}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

18.4 kilograms per class.

Step-by-step explanation:

Since each class recycled the same amount, we divide the total (36.8 kilograms) by the number of classes (2). 36.8/2 = 18.4 This means that each class recycled 18.4 kilograms of paper.

The values of a and b are 33% and 42.7% respectively.

Given:

The number of students that like blue uniform is only as 32,

The number of students that like gold uniform is only as 25,

The number of students that like blue and gold uniforms is 12

The number of students that like neither blue nor gold uniform as 6.

Then, the total number of students interviewed are 75 students.

The relative frequency of the students who like blue is 25, therefore,

25/75= 1/3= 0.33

= 33%

The relative frequency of the students that like blue but not gold is 32, therefore,

32/75= 0.427

=42.7%

Read more about frequency tables here:

https://brainly.com/question/4231235

Answer: Darkness

Step-by-step explanation: If there is more darkness you will be able to see less so ya

well, Mai is 21 today and when she's 25 is 4 years from now, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000\left(1+\frac{0.10}{1}\right)^{1\cdot 4}\implies A=2000(1.1)^4\implies A=2928.2[/tex]

Answer:

B

Step-by-step explanation:

The questions says that the graph is shifted down 7 units, which means it will affect the y-intercept.

Remember: If it's shifted up, it's positive & if it's shifted down, it's negative.

Answer:

B

Step-by-step explanation:

f(x)=9x

g(x)=9^x-7

if shifted down its negative ,if shifted up its positive.

Answer:

There is only 340 gallons of fresh water

Step-by-step explanation:

giving the reason that all you have to do is divided by 10 to get you answer for percentage

If you want to find 1 percent then you divided the number by 100 and you get 1 percent

Please consider brainliest for this answer for it is correct Thank you!

<3

Answer:

7 2/5 and/or -37/5

Step-by-step explanation:

It can also be 7.04 also

Answer:

Step-by-step explanation:

Answer:

Putting all the x's to one side.

Step-by-step explanation:

By doing this, you would get:

10 = 2.5x

so,

4 = x

Answer:

We subtract 5x from both sides

Step-by-step explanation:

Step 1:  Subtract 5x from both sides

[tex]5x + 10 = 7.5x[/tex]

[tex]10 + 5x - 5x = 7.5x - 5x[/tex]

[tex]10 = 2.5x[/tex]

Step 2:  Divide both sides by 2.5

[tex]\frac{10}{2.5} = \frac{2.5x}{2.5}[/tex]

[tex]4 = x[/tex]

Answer:  We subtract 5x from both sides

Answer:

120 days

Step-by-step explanation:

Remark

It's an inverse relationship. As the number of men go up, the 80 gets smaller. As the number of men goes down, the number of days will get larger.

Equation

80 = k / 15                Multiply both sides by 15

Solution

80*15 = 15 * k/15

1200 = k

That means that k is number that 80 men will produce. It is the number that relates men and days.

So now you want to put 10 men where 15 were before and see what that does to the number of days.

days = 1200/10

days = 120

Answer

It will now take 120 days.

15 men can do a piece of work in 80 days. How long will it take to complete the work if 5 men are reduced?

In this question we are provided that 15 men can do a work in 80 days and we are asked to calculate the time if 5 men are reduced that means we need to calculate the no. of days 10 men will take to do the same work.

There are two methods to solve this question

[tex] \small \red{ \underline{\bf{ Unitary \: Method }}}[/tex]

15 men can do a piece of work in 80 days

1 men can do a piece of work in 80 × 15 days

10 men can do a piece of work in [tex]\dfrac{80 × 15}{10}[/tex] = 120 days

[tex] \rule{40mm}{5pt}[/tex]

[tex] \small \orange{ \underline{\bf{ Method \: of \: proportion}}}[/tex]

Let us assume that 10 men can do a piece of work in x days.

[tex] \begin{array}{cc} \bf{Number \: of \: men} & \bf {Number \: of \: days} \\ 15&80 \\ 10&x\end{array}[/tex]

[tex] \small\bf{ 15 : 10 :: x : 80}[/tex]

[tex] ➲ \: \small\rm{10 \times x = 80 \times 15} [/tex]

[tex]➲ \: \small\rm {x = \dfrac{80 \times 15}{10} = 120 \: days }[/tex]

x = 120

[tex] \rule{72mm}{6pt} [/tex]

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

Answer:

8/5

Step-by-step explanation:

You multiply the numerators and divide by the denominator as long as they have the same one.

Answer:

8/5 - 1 3/5

Step-by-step explanation:

You just multiply the Numerators

Then Simplify

Answer:

7

Step-by-step explanation:

3+4 as the denoninators are the same

Answer:

[tex]\Longrightarrow: \boxed{\sf{\dfrac{7}{k} }}[/tex]

Step-by-step explanation:

You have to find the numerator number by adding it to the denominator.

[tex]:\Longrightarrow \sf{\dfrac{3}{k}+\dfrac{4}{k}=\dfrac{?}{k} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{3+4}{k}}[/tex]

First, add the numbers from left to right.

[tex]\sf{\dfrac{3+4}{k}=\boxed{\sf{\dfrac{7}{k}}}[/tex]

I hope this helps, let me know if you have any questions.

Answer: 95 degrees

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

The services that an organization accepting charitable donations would provide are; A, B, D

What are uses of charitable donations?

An organization that accepts charitable donations is classified as a non-profit organization.

A non - profit organization is simply a group that works in order to help with a particular cause and it uses its earnings to work for this goal instead of profit making or sharing the money to its' members.

From the given options, the services that an organization accepting charitable donations provide are:

Read more about Charitable donations at; https://brainly.com/question/13940953

Answer:

A B D

Step-by-step explanation:

98% on the exam and 100% on exam review

Answer:

see below

Step-by-step explanation:

-2x^2-3=11

add three

-2x^2=14

divide by 2

x^2=7

Answer: 1

Step-by-step explanation:

0.8 is the slope of the line M'N'.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).

Now, we can find the slope of line M'N' using the slope formula:

slope of M'N' = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).

slope of M'N' = (4 - 3.2) / (2.4 - 1.6)

the slope of M'N' = 0.8

Therefore, the slope of line M'N' is 0.8.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ7

Answer:

Becky is 7 years old.

Step-by-step explanation:

Let b - Becky's age

Equation - 3b = 21

Divide both size by 3 to isolate the variable.

21/3 is 7.

If Johnny is 21 years old he is three times as old as Becky then age of Becky is 7 years.

Two or more expressions with an Equal sign is called as Equation.

Given that Johnny is 21 years old

Johnny is three times as old as Becky.

We have to find the age of Becky.

Let x be the age of Becky.

As Johnny is three times as old as Becky.

We can write the equation as below

21=3x

Divide both sides by 3

7=x

Hence, if Johnny is 21 years old he is three times as old as Becky then age of Becky is 7 years.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Hi!

We want to solve for [tex]b[/tex]

Given:

[tex]a=\sqrt{b+6}[/tex]

Square both sides:

[tex]a^2=\sqrt{b+6} ^2[/tex]

Simplify:

[tex]a^2=b+6[/tex]

Subtract [tex]6[/tex] from both sides:

[tex]a^2-6=b+6-6[/tex]

Simplify:

[tex]a^2-6=b[/tex]

Flip:

[tex]b=a^2-6[/tex]

Hence, [tex]b[/tex] is the subject of the formula.

Answer:

480

Step-by-step explanation:

Answer:

Step-by-step explanation:

First take the square root of the first number 144, then take the square root of your variable x^3

your final answer should be 12x^(3/2)

Answer:

A. i think so..

Step-by-step explanation:

A.should be there

Answer:

D) 18 freshman, 18 sophmores, 30 juniors, 30 seniors

Step-by-step explanation:

ratio given:

320 : 300 : 500 : 510

320 = 300 and 500 = 510

therefore ratio of 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

18 : 18 : 30 : 30

Answer:

The last one

Step-by-step explanation:

You just have to find the percentage of each

First find the total

300+320+500+510=1630

1)freshman: (320÷1630)×100

2) sophomore:(300÷1630)×100

3) juniors:(500÷1630)×100

4)seniors:(510÷1630)×100

Answer:

$57.93

Step-by-step explanation:

14 x 12 = 168

168/2.9

Answer: 3.63248

Step-by-step explanation:

I know the answer thats all

Answer:

3.632

Step-by-step explanation:

since 1.244 has 3 decimal places you can round off the answer to 3 d. p.