A rectangular tank is \frac{3}{4} full of water. If you add another 320 cubic centimeters of water, the tank will be \frac{7}{8} full. what is the capacity of the tank?

A: 1,280 cm³
B: 1,920 cm³
C: 2,240 cm³
D: 2,560 cm³​

Answers

Answer 1

Answer:

D. 2,560 cm³

Step-by-step explanation:

Let :

water (when 3/4 full) = 3/4xwater (when 7/8 full) = 7/8xx is the capacity of the tank

Finding the change in level

3/4x + 320 = 7/8xx/8 = 320x = 320 * 8x = 2,560 cm³

Related Questions

Solve the equation.

6x+7=8x-15

Answers

The answer to the question is 11

Answer:x=11

Step-by-step explanation:

What is the measure of y

Answers

155

Just add the angles up.

In a soccer league with four teams, each team played four games with every other team. Each team received 3 points for a win, 1 point for a tie, and no points for a loss. After all the games, the point tallies were as follows: Team A won 22 points, team B won 19 points, team C won 14 points, and team D won 12 points. How many games ended in a tie?

Answers

The number of game that ended in a tie are= 67

Calculation of total number of ties

The number of points that makes up a win = 3

The number of points that makes up a tie = 1

The number of points that makes a loss = 0

Team A = 22 points

Team B = 19 points

Team C = 14 points

Team D = 12 points

The total of points gotten by the whole team is = the games that ended in a tie.

That is , 22+19+14+12 = 67

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Help me on this please!

Answers

Answer:

B-a population growth of 3% each year

Step-by-step explanation:

The 1.03 would mean that the exponential function is increasing by 3% every year because it is 0.03 units above 1.

helppppppppppppppppppppppppp

Answers

The answer is c thats what i think

Goran wants to find the average height of students in the 9th grade at Northside Highschool. So he will use the height of 50 students in the 9th grade to find the average height.

Explanation: pounds - currency/weight, ounces - volume of water, centimeter - height/length, grams - mass, inches - height

Solution:

(a)

1) centimeters

2) inches

(b) Solution: Randomly pick 50 students from the 9th grade and measure their heights.

what is the answer to (2x -3) / 4 = 9

Answers

Answer:

[tex]x=\frac{39}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3}{4}=9\\ \\2x-3=36\\\\2x=39\\\\x=\frac{39}{2}[/tex]

can someone help me with this question? Thank you!

Answers

Answer:

i hope this can help you!

Use the following data set to answer questions 1-8: 13, 19, 7, 12, 21, 18, 15 1. Calculate the mean. Round to the nearest tenth.​

Answers

Answer:

Mean = 13.3

Step-by-step explanation:

Mean = Sum of numbers    =  13 + 19 + 7 + 12 + 21 + 18 + 15 + 1  =  106 = 13.25

          Amount of numbers                          8                                    8

13.25≈13.3

Help me pls which one

Answers

Answer:

C . 0.1

Step-by-step explanation:

There are nine lines between 0 and 1

The one the red dot is one is 0.1

name four fractions whose values are between 1/4 and 3/4

Answers

Answer:

ok don't panic it's organic

Answer:

[tex]\frac{1}{3} , \frac{1}{2} , \frac{3}{8} , \frac{5}{8}[/tex]

Step-by-step explanation:

When calculating interest accrued, you use the
O A. APR
O B. APY
O C. debt ratio
O D. going rate

Answers

A. APR.

multiply the principal by the APR and the
number of months in the year, then divide by the
number of months earning interest. multiply the
principal by the APR and number of months,
then divide by the total number of months in the
year. multiply the principal by the APR and
number of months.

If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2

Answers

Answer:

3x² + 3y² = 42

3 ( x² + y² ) = 42

x² + y² = 14

xy = -15 ( given )

(x-y)² = x² + y² - xy

14 - ( -15 )

14 + 15

29

Elsie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has four equal parts that are yellow, blue, red, and green. What are the chances that Elsie gets heads and red on the spinner?


A. 1/8

B. 1/6

C. 1/4

D. 1/2

Answers

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

Answer:

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

.5x.25=.125

1 divided by 8 equals .125

Find x and find angle b

Answers

X = 3; B = 70

60 + 15x + 5 + 22x + 4 = 180
69° + 37x = 180
37x = 180° - 69°
37x = 111°
x = 111/37
x = 3

B = 22x + 4
B = 22(3) + 4
B = 66 + 4
B = 70

Find the total value of the investment after the time given. $480 at 9% compounded monthly for 7 years​

Answers

[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 &\$480\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=480\left(1+\frac{0.09}{12}\right)^{12\cdot 7}\implies A=480(1.0075)^{84}\implies A\approx 899.14[/tex]

Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Todd's order before tax is $85.75. How many pictures did Todd order? Solve this problem using two different methods or strategies. Label your strategies.

Answers

Rate of change=$7.5One time fee(Y intercept)=$3.25

Equation in slope intercept form

y=mx+by=7.5x+3.25

So

Total paintings is x

85.75=7.5x+3.257.5x=82.5x=11 paintings

Answer:

11 pictures

Step-by-step explanation:

Method 1

Create an algebraic equation from the given information, defining the unknown quantity as a variable, then solve for the variable.

Given:

Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75

Let x = number of pictures ordered

⇒ Cost of one picture × number of pictures ordered + shipping fee = total

⇒ 7.5x + 3.25 = 85.75

⇒ 7.5x + 3.25 - 3.25 = 85.75 - 3.25

⇒ 7.5x = 82.50

⇒ 7.5x ÷ 7.5 = 82.50 ÷ 7.5

⇒ x = 11

Therefore, Todd ordered 11 pictures.

Method 2

Logic and trial and error.

Given:

Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75

If the shipping fee is a one time cost, then if we subtract this from the total cost of the order, we know how much Todd spent on the pictures alone:

⇒ $85.75 - $3.25 = $82.50

We have been told that each picture costs $7.50.

Therefore, 10 pictures costs $75.00 (when multiplying by 10, we simply move the decimal point one place to the right).

$75.00 is less than $82.50.  So what happens if we add another $7.50 to $75.00?

⇒ $75.00 + $7.50 = $82.50

Therefore, Todd ordered 10 + 1 = 11 pictures.

i need helpp ..




I'm stuck here just to suffer




this is not my exam



just help mee​

Answers

There are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional shape shown in the picture with dimensions.

The total cubic units = 4×3×5 = 60 cubic cm

We can measure the volume with units of mm³, cm³, m³, km³

We can draw a relation between them:

mm³<cm³ <m³< km³

For the first picture, the unit mm³ would be best for measuring the volume.

For the second picture, the unit cm³ would be best for measuring the volume.

For the third picture, the unit m³ would be best for measuring the volume.

Thus, there are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.

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I need help 20 points

Answers

Answer:

[tex]A = 9\pi[/tex]

Step-by-step explanation:

This is basically just 3/4 of a circle, so the area will be:

[tex]A = \frac{3}{4} \pi r^{2}[/tex]

Plug in 6 for the radius:

[tex]A = \frac{3}{4} \pi (6)^{2}[/tex]

Simplify:

[tex]A = \frac{3}{4} \pi (36)[/tex]

Simplify further:

[tex]A = 9\pi[/tex]

Answer: 84.825

Step-by-step explanation:

area of circle = pi r squared.

radius is 6. plug in numbers for area.

the whole circle is 113.1 x 3/4 is 84.825

83 + (25) : 5 > 32 + 42

Answers

Step-by-step explanation:

83 +(25)/5 >32 + 42

Simplify 83 + (25)/5= 108/5

Simplify 32 + 42: 74

108/5>74

Therefore the solution is false

caleb is choosing a bank from the two banks below in an average month he writes 12 checks use his debit card 10 times and uses the atm six times how much caleb send on his monthly bank fees at state bank six times

Answers

Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.

What are Caleb's bank fees?

The question is incomplete so I will use a similar question to answer it.

Caleb's fees at Neobank would be:

= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee

= 0 + 0 + 6 + 5

= $11

Caleb's fees at Arbor Bank:

= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee

= $15.70

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What does 3/4 + 3/4 + 3/4 + 3/4 =

Answers

Answer:

3

Step-by-step explanation:

3/4 = 0.75

0.75 x 4 = 3

0.75 + 0.75 + 0.75 + 0.75 = 3

Step-by-step explanation:

[tex] = \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} \\ [/tex]

[tex] = \frac{3 + 3 + 3 + 3}{4} \\ [/tex]

[tex] = \frac{12}{4} \\ [/tex]

change into lowest term

[tex] = \frac{6}{2} \\ [/tex]

[tex] = \frac{3}{1} \\ [/tex]

hope it helped !!!

please can someone help fr​

Answers

Step-by-step explanation:

help with what because on this tab I can only see a picture icon and not the actual snap so I'd like to help but I really cant

Answer:

x = 116°

Step-by-step explanation:

Finding the value of 'x' in a polygon

 [tex]\sf \boxed{\text{Sum of interior angles of a polygon = (n - 2)*180}}[/tex]

                                                           = (5 - 2) *180

                                                           = 3*180

                                                            = 540°

                      90 + 119 + 86 + 129 +x = 540  

                                               424 + x = 540

                                                         x = 540 - 424

                                                         x   = 116°

What is the surface area of the model, including the bottom face?

Answers

Answer:

D. 483.84 ft^2.

Step-by-step explanation:

we have 2 triangles and 7 rectangles, 5 of which are 8.4*8.4 squares.

Area = 2 * 1/2 * 4 * 8.4 + 2*5.8*8.4 + 5 * 8.4^2

= 33.6 + 97.44 + 352.8

= 483.84 ft^2.

the product of nine and a number decreased by six​

Answers

Answer:

9* (x-6)

9x-54

9x=54

x=54/9

x=6

Step-by-step explanation:

will give brainliest look at pitcure

Answers

Answer:

x = 90°

Step-by-step explanation:

From the meaning of figure

30² + 2x° + (2x - 30)° = 360°

4x° = 360°

x = 90°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer the question below

Answers

Answer:

Step-by-step explanation:

The side length of the larger pentagon is 3, but the side length of the smaller pentagon is 2, so the scale factor is 2/3.After this. we want the points that stick the farthest out to map onto each other, so they need to have the same y coordinate. So, translate down 2 units.Finally, reflect over the y axis.This shows the pentagons are congruent.

PLEASE HELP!!!!!!!!!!!!!!

Answers

In a circle, the arc is two times the length of the angle.

EFG = 98°

98 x 2 = 196

Minor arc EG = 196°

Hopefully this helps :)

Find the area of a polygon

Answers

Answer:

32.71cm² is the area

2) A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select oneat
random from the box, determine:
a) The probability the marble is red.
b) The odds in favor of selecting a red marble.
c) The probability the marble is blue.
d) The odds against selectinp a hlue marble

Answers

Answer:

red is more in value unlike the rest

6) Which of the following equations is of a parabola with a vertex at (3, 0)?
a) y = x2 + 3
b) y = x2-3
c) y = ( x + 3) 2
d) y = ( x - 3)2

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

We need a parabola with a vertex at (0,-3)

If we select the equation:

[tex]y=x^2-3[/tex]

When we put x = 0, we get

[tex]y=0-3[/tex]

[tex]y=-3[/tex]

And similarly, when we put y = -3, we get

[tex]-3=x^2-3[/tex]

[tex]0=x^2[/tex]

[tex]x=0[/tex]

Hence, second option is correct.

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