Determine the intercepts of the line.

Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

Answer:

A.

Step-by-step explanation:

If you divide the numerator and the denominator by 10, you get 5 over 10.

Answer:

A. 50/100

Step-by-step explanation:

10 goes into 100, 10 times. With that information all you have to is multiply 5 by 10 and you get 50!

I hope this helps, and have a great day! :)

Answer:

i think it's 25.12.

Step-by-step explanation:

because you multiple 2x3.14×4

Answer:

Ok so I think it might be multiplying or dividing

Step-by-step explanation:

My answer for multiplying is 6,732

My answer for dividing is 46.33333

Answer:

Step-by-step explanation:

There are 561 people.

When you divide by 12 you get 46 complete tables of 12

There are 9 people left over.

You can't round down. You must round up. These 9 people  get a table all to themselves.

So you need 47 tables.

Answer:

3000 feets

Step-by-step explanation:

Given that :

Initial Ascent to steady altitude = 35,000 feets

Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

(Initial ascent to steady altitude - descent to steady altitude)

(35000 - 32000) feets = 3,000 feets

Answer:

3,131,313

Step-by-step explanation:

Let X represent the number of cases with diabetes in 1973.

An increase of 396% in diabetes cases in 1973 would be;

12.4 million = 396/100 × X

12.4 million = 396X/100

Cross multiply

12.4 million × 100 = 396X

X = [(12.4 million × 100) / 396]

X = 3,131,313

Therefore, the number of diabetes cases in 1973 is 3,131,313 cases

Answer:

0.05

Step-by-step explanation:

brainliest plz

Answer:

so what are we trying to figure out?

Step-by-step explanation:

Part a)

Given the expression

[tex]54m^3n\:+\:81m^4n^2[/tex]

Apply exponent rule:    [tex]a^{b+c}=a^ba^c[/tex]

[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex]     ∵ [tex]m^4n^2=m^3mnn[/tex]

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             [tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]

Factor out the common term:   27m³n

                              [tex]=27m^3n\left(2+3mn\right)[/tex]      

Therefore,

[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]

Part B)

Given the expression

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]

Apply exponent rule:    [tex]a^{b+c}=a^ba^c[/tex]

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]

Rewrite as

                                               [tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]

Factor out common term 5y²x²z

                                                [tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]

Therefore,

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Identity property/ Associative Property

Answer:

6 minutes

Step-by-step explanation:

Given

Leo = 36 sec / rev

Stan = 40 sec/rev

Required

Determine the time (in minutes) they'll meet again

We start by getting the multiples of 36 and 40 uptil we get a common multiple.

Leo: 36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, .....

Stan: 40 = 40, 80, 120, 160, 200, 240, 280, 320, 360....

From above, the common multiple is:

Common Multiple = 360

This means that they'll meet at 360 seconds

Convert to minutes

360 sec = 360/60 mins

360 Seca = 6 mins

Hence,it will take them 6 minutes to meet again at the starting point

Answer:

50 : 25 = 75 : 37.50

Step-by-step explanation:

If 50 apples cost $25, that means 2 apples cost $1.

75 apples cost 37.5, or $37.50

Given:

The expression is:

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

It can be rewritten as

[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]

[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex]        [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex]        [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]

[tex]=\dfrac{-8}{9}[/tex]        [tex][\because \sqrt[n]{x^n}=x][/tex]

The value of given expression is [tex]\dfrac{-8}{9}[/tex].

Therefore, the correct option is b.

Answer:

Step-by-step explanation:

pi x 7 squared = 153.938040026

Answer:

24

Step-by-step explanation:

If there will be 8 for 30

and it's 90 it mean it's just has more 30's

30 + 30+ 30=90

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

Answer:

Yes, the three points are collinear.

Step-by-step explanation:

None.

Answer:

[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]

Step-by-step explanation:

Hello can you please give the amount of kids first?

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

Let us solve the question

∵ f(x) = x + 4 if x < 5 ⇒ First part

→ That means if x less then 5 we will use this part of f(x)

∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

   this part of f(x)

∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

   we will use this part of f(x)

a. The value of f(0)

∵ x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

∴ f(0) = 4

b. The value of f(6)

∵ x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

∴ f(6) = 8

The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.

The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.

Therefore,

y = mx + b

where

Hence,

3y = -2x + 15

y = -2 / 3 x + 5

For line to be perpendicular it must follow the following rules;

m₁m₂ = -1

m₁(-2 / 3) = -1

-2m₁ = -3

m₁ = 3 / 2

Therefore, the equation can be found as follows:

3 = 3 / 2(1) + b

3 = 3 / 2 + b

b = 3 - 3 / 2

b = 6 - 3 / 2

b = 3 / 2

Hence,

y = 3 / 2x + 3 / 2

learn more on equation of a line here: https://brainly.com/question/21511618

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Answer:

8 wrong and 15 right if every question is the same points

Step-by-step explanation:

3.26/5 is 0.652

15/23 is 0.652 ish rounded

So I assume 8 wrong

Answer:

[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

Step-by-step explanation:

Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]

Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]

                                  = [tex]\frac{5-1}{5}[/tex]

                                  = [tex]\frac{4}{5}[/tex]

Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part

                                     = [tex]\frac{3}{4}\times \frac{4}{5}[/tex]

                                     = [tex]\frac{3}{5}[/tex]th part of the bottle

Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

Answer:

[tex]x=\frac{2}{3}, -4[/tex]

Step-by-step explanation:

hope this helps!

your answer is

22.5

good luck :)