A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function . What is the minimum unit cost? Do not round your answer.

Answer:

[tex]\huge\boxed{\sf Volume = 384 \ cm^3}[/tex]

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

Finding the Height using Pythagorean Theorem:

[tex]\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm[/tex]

[tex]\rule[225]{225}{2}[/tex]

Now, Finding the volume:

[tex]\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

34 boxes

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

(At least) 68 hours

Step-by-step explanation:

So we already have $55 in our bank account.

And we earn $5 per hour.

In other words, the total amount of money in our account after working x hours is represented by the equation:

[tex]y=5x+55[/tex]

We want to buy a new phone that costs $395. To find out how many hours we need to work, substitute 395 for y. Thus:

[tex]395=5x+55[/tex]

Subtract 55 from both sides:

[tex]340=5x[/tex]

Divide both sides by 5:

[tex]x=68[/tex]

Therefore, we must work for (at least) another 68 hours in order to earn enough money to purchase the phone.

Answer:

the answer is 1 and 7

Step-by-step explanation:

4 times 2 is 8 -7 =1

6 times 2 =12 -5 =7

Answer:

First problem equals 1 and second problem equals 7.

First multiply 4x2 to get 8, then subtract it by 7.  That would leave you with 1.

Now, 6x2 would be 12 minus 5 which would equal 7.

Answer:

options 3 and 4 are correct

Step-by-step explanation:

And form the remainder of the problem, you isolate x by just multiplying by the negative reciprocal, which is -3/2, or just dividing by the number in front off x, which is -2/3, which makes statements three and four true. so this makes this three and four options

I hope this helps you :)

-KeairaDickson

Two options namely " After adding 4 to both sides, the equation is negative two-thirds negative 2" and the statement " the equation can be solved for x using exactly one more step by multiplying  both sides by Negative three-halves."

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given here  -4-2/3x +4=-6+4

                 ⇒-2/3x = -2

                 ⇒ -2/3x ×3/2 = -2 ×3/2

                 ⇒ x = 3

Hence the final answer is 3.

Learn more about linear equations here:

https://brainly.com/question/21835898

#SPJ5

Answer:

The solution for the inequality is -3< x <5

The viable solutions are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies

Step-by-step explanation:

The given inequalities are;

2·x - 3 < 7 and 5 - x < 8

Therefore, we have;

2·x - 3 < 7

2·x < 7 + 3

2·x < 10

x < 5

From the other inequality, we have;

5 - x < 8

-x < 8 - 5 = 3

-x < 3

-x/(-1) > 3/(-1)  

x > -3

Therefore, the solution for the inequality is given as follows;

-3< x <5

The possible values are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.

Answer:

15.75 cups

Step-by-step explanation:

If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups

Answer:

Step-by-step explanation:

We can form a table for the relation between muffins sold and days of the week given in the graph.

Days                    Muffins sold

Monday                       5

Tuesday                      6

Wednesday                 5

Thursday                     8

Friday                          10

Saturday                      13

Sunday                        15

This data reflects the sales of muffins are increasing continuously in the given week.

Therefore, number of muffins sold are directly proportional to the number of days of the week.

Answer:

In simplified/simplest form and in descending order, your answer would be: -4x^3 - 4y^2. Hope this helps!  

-5+-10 can also be written as -5-10.

An easy way to do it(this is how I solve it) is to add it like 5+10 then slappa a negative sign in front.

5+10=15

-15

hope it helps!

Answer:

140%

Step-by-step explanation:

Move the decimal over to the right two places!

:D

Answer: 140 percent I hope this answers your question!

Answer:

10)17.5

11)18

12)70

13)110

Problem 10

This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)

======================================

Problem 11

Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.

======================================

Problem 12

The angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.

======================================

Problem 13

Opposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.

Answer: The answer is A. 2.

Answer:    your answer is A

Step-by-step explanation:

|x + 3| = 2

x = -1 or x = - 5..............

Answer:

x+46

Step-by-step explanation:

-32x+20+33x+26=

x+20+26=

x+46

Answer:

x +46

Step-by-step explanation:

4(-8x+5)-(-33x-26)=

Distribute

-32x+20 +33x +26

Combine like terms

x +46

Answer:

Variables with no number have a coefficient of 1.

Step-by-step explanation: x is really 1x.

Answer:

52.19612

Step-by-step explanation:

hope this helps

Answer:

x = 0.2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.5 + 1.2(6.3 - 7x) = 9.38

Step 2: Parenthesis (distribute)

3.5 + 7.56 - 8.4x = 9.38

Step 3: Combine like terms (constants)

11.06 - 8.4x = 9.38

Step 4: Subtract 11.06 on both sides

-8.4x = -1.68

Step 5: Divide both sides by -8.4

x = 0.2

Answer:

10*40

80*5

20*20

Step-by-step explanation:

20*20=400

80*5=400

10*40=400

Answer:

22 miles they travelled

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

Answer:

196.47%

Step-by-step explanation:

1 is 100

So the rest just add in

Step-by-step explanation:

ᑎⓄ丂  Ä ɆⓇᗪαⒹ Ⓔ   ʇ  ƬⒶ℟Å    ฿ⓇØ

Steps to solve:

9|9 - 8x| = 2x + 3

~Divide 9 to both sides

|9 - 8x| = 2/9x + 1/3

~Solve absolute value (part one)

|9 - 8x| = 2/9x + 1/3

-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)

-74/9x = -26/3 (Subtracted 9 to both sides)

x = 39/37 (Multiplied 37/39 to both sides)

~Solve absolute value (part two)

|9 - 8x| = -(2/9x + 1/3)

|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)

-70/9x + 9 = 11/3 (Added 2/9x to both sides)

-70/9x = -28/3 (Subtracted 9 to both sides)

x = 6/5 (Multiplied 9/-70 to both sides)

Therefore, the solutions are x = 39/37 and x = 6/5

Best of Luck!

Steps to solve:

x + 5 = 34

~Subtract 5 to both sides

x = 29

Best of Luck!

Answer:

D. Divide the price per square foot by 3 ​

Step-by-step explanation:

1 foot = 0.333333 yard

price per square yard of the hardwood = price per square foot / 3

For instance, If the price per square foot is $900, then the price per square yard is

price per square yard of the hardwood = price per square foot / 3

= 900 / 3

= 300

price per square yard of the hardwood = $300

Answer:

A. 31 and B. 26

Step-by-step explanation:

In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32

Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.

Hope this helped!

Answer:

200 squared meters.

Step-by-step explanation:

Since we know the court is a rectangle, we can use the formula for the area of a rectangle:

[tex]A=lw[/tex]

Where l is the length and w is the width.

We are given that the length is 20 meters and the width is 10 meters. Substitute:

[tex]A=20(10)[/tex]

Multiply:

[tex]A=200\text{ meters}^2[/tex]

So, the area of the court is 200 squared meters.

Answer:

Hey there!

(2x³) (x⁴)² / 8x¹¹

2x^3(x^8)/8x^11

2x^11/8x^11

1/4

Let me know if this helps :)

Answer:

p ^ q is  true

Step-by-step explanation:

25>20 so p is true

25 is  divisible by 5 so q is true

p ^ q is  true