Unit 6 lesson 10 surface area and volume unit test

Answer:

Step-by-step explanation:

You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.

__

The equation should be written so that y is a function of x:

  [tex]\boxed{y=\dfrac{25}{x}}[/tex]

The x in the denominator clearly shows that y is proportional to the inverse of x.

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values can be calculated by dividing 25 by the x-value.

[tex]\sf y=\dfrac{25}{x}[/tex]

Answer:

D.

Thats what gauth.math said

Answer:

b= 7

Step-by-step explanation:

Answer:

Missing Side = 7 feet

Step-by-step explanation:

by Pythagora

25² = P² + 24²

625 - 576 = P²

P² = 49

P = √49

P = 7 feet

Answer:

C

Step-by-step explanation:

x^2+4x-45

(x+9)(x-5)

since 4x is positive, the larger factor of 45 needs to be positive

that's why the 5 is negative

when solving problems like this, just find two factors of the last number that add up to the middle number

then throw them in parenthesis with an x

Hi,

x2 + 4x − 45 can be factorized to (x + 9)(x - 5).

the correct answer is C (x + 9)(x - 5).

I added a screenshot...

XD

Answer:

15% could be for brown eyes

Answer:

a(-2.6) b(5, 0) c(9,5)

Step-by-step explanation:

the rule is x+1 y+2 for each of the vertices

Answer:

39%

Step-by-step explanation:

21/125=.168

33/125=.264

.432-.044352=.387648*100=39%

Answer:

there are three outcomes

Step-by-step explanation:

three colours= three outcomes

don't have a diagram

Answer:

  $6.46

Step-by-step explanation:

The average per item is the quotient of the total raised and the number of items. The total raised is the sum of the products from multiplying the number of items at a given price by that price.

__

A weighted average is computed easily using a spreadsheet or calculator.

Here, the average amount per item is computed by a calculator to be ...

  $6.46 per item, average

Answer:

D 10%

Step-by-step explanation:

Average Points= 20

No. of games = 6

Total points= 20×6=120

So, Sum of Score of five games= 23+18+16+24+27= 108

Therefore, Score in 6th game= 120-108= 12

[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]

To find :-

The sixth score of the game

Given :-

All five scores = 23, 18, 16, 24, and 27

The average of all six score = 20

Solution :-

We will use the average formula to find the sixth score.

[tex]average = \frac{total \: of \: all \: scores}{number \: of \: scores} [/tex]

And let the sixth score be x.

[tex]20 = \frac{23 + 18 + 16 + 24 + 27 + x}{6} [/tex]

Now we will cross multiply, the 6 which on L.H.S will come to R.H.S and multiply with 20.

[tex]20 \times 6 = 23 + 18 + 16 + 24 + 27 + x \\ 120 = 108 + x \\ 120 - 108 = x \\ 12 = x[/tex]

Result :-

The sixth score by the baseball player is 12.

Answer:

y=x+3

Step-by-step explanation:

The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= 3, y1= 6, x2= - 4, y2= - 1

so m = 1

Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).

b=6-(1)(3)

b=3

Finally, the equation of the line can be written in the form

y = mx+b

y=x+3

Answer:

6795.70

Step-by-step explanation:

smart people

After paying 10% penalty on the early withdrawal, Jasmine's penalty for the early withdrawal was calculated to be $5,352.24.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

here, we have,

We can use the formula for compound interest in ordr to solve this problem.

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal (starting amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have the following values,

P = $50,000

r = 1.75% = 0.0175 (since it is compounded semi-annually, n = 2)

t = 25 years

So the final amount after 25 years can be calculated as under

A = 50000(1 + 0.0175/2)^(2×25) = $107,044.84

Jasmine has withdrawn  50% of this amount, which is:

$107,044.84 × 0.5 = $53,522.42

She had to pay a 10% penalty on the early withdrawal, so her penalty would be:

$53,522.42 × 0.1 = $5,352.24

Therefore, the penalty of Jasmine penalty for the early withdrawal was $5,352.24.

Learn more about compound interest :

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Answer:

DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM

Step-by-step explanation:

Benefits of Deposit Slips

Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

Answer:

A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides.

Answer:

5 x 10 + 8 = f

Step-by-step explanation:

The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.

In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.

Then he gets 8 more flowers which is why it has +8 in the equation.

The equation to get the total number of flowers is the last one:

f = 5*10 + 8

We know that Ash has 5 bunches of flowers, each one contains 10 flowers, so there we have:

5*10 = 50 flowers.

Then he adds 8 more flowers, then we can write the total number of flowers as:

f = 5*10 + 8.

So the equation that we need to use is the last one.

If you want to learn more about equations:

https://brainly.com/question/2972832

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Answer:

8 large frames and 13 small frames

Step-by-step explanation:

Given:
$18 each = large frames

$8 each = small frames

To Find:

⇒  Bought 21 frames for ​$​248, find how many of each type she bought

Solve:

1 Large frame costs = 18 $

Therefore, x large frames costs = 18x $

{where x is the number of large frames she bought}

1 Small frame costs = 8 $

Therefore, x Small frames costs = 8y $

{where y is the number of small frames she bought}

By the given condition :

18x + 8y = 248        {equation 1}

x + y = 21                 {equation 2}

Solve these equations simultaneously, from second equation we get :

x = 21- y

18⋅(21−y)+8y= 248

378 - 18y+8y = 248

-10y = -130

y = 13

Put y = 13 in eq x = 21- y

x = 21  - y

x = 21 - 13

x = 8

So the woman bought 8 large frames and 13 small frames.

~lenvy~

The combined scores that correspond to 20th percentile is about 1206.

The combined scores that correspond to 75th percentile is about 1724.

The combined scores that correspond to 80th percentile is about 1780.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given the mean 1493 and standard deviation 342.

a) 20th percentile has a z score of -0.84, hence:

-0.84 = (x - 1493)/342

x = 1206

b) 75th percentile has a z score of 0.675, hence:

0.675 = (x - 1493)/342

x = 1724

c) 80th percentile has a z score of 0.84, hence:

0.84 = (x - 1493)/342

x = 1780

The combined scores that correspond to 20th percentile is about 1206.

The combined scores that correspond to 75th percentile is about 1724.

The combined scores that correspond to 80th percentile is about 1780.

Find out more on z score at: https://brainly.com/question/25638875

Answer:

182ft^2

pls give brainlyist

Step-by-step explanation:

area of a parallelogram is base  * hight

13ft* 14ft

182ft^2

Answer:

Step-by-step explanation:

When we add the two equaions, y will be cancelled becaue -2y + 2y = 0.

Thus we can find the value of x.

5x - 2y = 42 -----------(I)

-3x + 2y = -26   {Now add}

2x          = 16

         x = 16/2

        x = 8

Answer:

  1500 g

Step-by-step explanation:

The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...

  1.5×(1000 g) = 1500 g

Answer: 4,000

Step-by-step explanation:

The only logical choice there because of the rate of others

Answer: c is the answer

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

A= 1+4+4+(-4)=5

B= 8+5+4+(-5)=15

15-5=10

10/2=5

x=5

Answer:

this one has to be answer 1

Step-by-step explanation:

4x - y = -5

x + 2y =1

8x - 2y = -10

x + 2y = 1

9x = -9

The cost per page is $1.5 and 38 pages of the book will cost $57

Data;

To solve this question, we have to know the cost of one page of the book.

In the first scenario, 20 pages cost $30, let's find the cost of one page here.

[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]

We can confirm our answer here by testing with the second scenario;

[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]

Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages

[tex]z = \frac{57}{1.5} \\z = 38[/tex]

From the calculations above, 38 pages of the book will cost $57.

Learn more on proportions here;

https://brainly.com/question/18437927

Step-by-step explanation:

If 4 hamburger = $21.25

1 hamburger = x

Cross multiply

4 x x = $21.25 x 1

4x = $21.25

Devide both side with the coefficient of x

4x/4 = $21.25/4

X = $5.3125

Therefore 1 hamburger cost $5.31

If 4 hotdogs = $22.75

1 hotdog = y

Cross multiply

4 x y = $22.75 x 1

4y = $22.75

Devide both sides with the coefficient of y

4y/4 = $22.75/4

Y = $5.6875

Therefore one hotdog cost $5.69

Answer:

See below ↓↓↓

Step-by-step explanation:

Given :

Let's set some variables.

So, our equations are :

Mulitply equation #1 by 7 and equation #2 by 4.

Subtract equation 4 from equation 3.

Substitute value of x in equation 4.

Answer:

196 ft cubed

Step-by-step explanation:

formula = ((bxh)/2) x length

so

7 x 7 = 49

49 / 2 = 24.5

24.5 x 8 = 196

Hope this helps! If you need further help, let me know!

- profparis

Answer:

A zoo

Step-by-step explanation:

A zoo can't be consisdered a "service industry" compared to the other ones.

So

A.) Zoo

is your answer