Carlos has an aquarium which is 45 cm long, 32 cm wide, and 35 cm high. How much water can the aquarium hold?

Answers

Answer 1

Answer:

volume =l×b×h

45cm×32cm×35cm=48,960cm³

Answer 2
45 x 32 x 35 = 50 400 cm^3 = 50.4 litres

Related Questions

There are two numbers. The sum of 4 times the first number and 3 times the second number is 34 the difference between 2 times the first number and 3 times the second number is 12 . Find the two numbers​

Answers

Answer:

10/9

23/3

Step-by-step explanation:

4x + 3y = 34

2x - 3y = 12

2x = 12 + 3y

2×(12 + 3y) + 3y = 34

24 + 6y + 3y = 34

24 + 9y = 34

9y = 10

y = 10/9

3×10/9 + 4x = 34

10/3 + 4x = 34

4x = (102 - 10)/3 = 92/3

x = (92/3)/4 = (92/3)/(4/1) = 92/(4×3) = 23/3

Mr. Pinter's class has twice as many students as Mrs. Rupert's class. Mrs. Althouse's class has 20 less than three times Mrs. Rupert's class. Together they have 106 students. How many are in each class?

Answers

Answer:

Mr. Pinter's class has 42 students, Mrs. Rupert's class has 21 students, and Mrs. Althouse's class has 43 students.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Mr. Pinter's class has x students.

Mrs. Rupert's class has y students.

Mrs. Althouse's class has z students.

Mr. Pinter's class has twice as many students as Mrs. Rupert's class.

This means that:

[tex]x = 2y[/tex]

Mrs. Althouse's class has 20 less than three times Mrs. Rupert's class.

This means that:

[tex]z = 3y - 20[/tex]

Together they have 106 students.

This means that:

[tex]x + y + z = 106[/tex]

We have x and z has a function of y, so:

[tex]2y + y + 3y - 20 = 106[/tex]

[tex]6y = 126[/tex]

[tex]y = \frac{126}{6}[/tex]

[tex]y = 21[/tex]

And:

[tex]x = 2y = 2(21) = 42[/tex]

[tex]z = 3y - 20 = 3(21) - 20 = 63 - 20 = 43[/tex]

Mr. Pinter's class has 42 students, Mrs. Rupert's class has 21 students, and Mrs. Althouse's class has 43 students.

Which statement must be true if APQR = ASTU?

Answers

Answer:

(a) [tex]PQ \sim ST[/tex]

Step-by-step explanation:

Given

See attachment

Required

Which must be true

[tex]\triangle PQR \simeq \triangle STU[/tex] implies that:

The following sides are corresponding

[tex]PQ \sim ST[/tex]

[tex]PR \sim SU[/tex]

[tex]QR \sim TU[/tex]

The following angles are corresponding

[tex]\angle P \sim \angle S[/tex]

[tex]\angle Q \sim \angle T[/tex]

[tex]\angle R \sim \angle U[/tex]

From the given options, only option (a) is true because:

[tex]PQ \sim ST[/tex]

A rectangular auditorium seats 1144 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.

Answers

Answer:

44 seats in each row

Problem:

A rectangular auditorium seats 1144 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.

Step-by-step explanation:

Let n be the number of rows.

If the number of seats exceed the number of rows by 18, then the number ot seats can be represented by n+18.

So we have a n by n+18 rectangle whose number of seats in all is 1144.

So we need to solve n(n+18)=1144

Distribute: n^2+18n=1144

Subtract 1144 on both sides" n^2+18n-1144=0

What two numbers multiply to be -1144 but also add to be 18?

Hmmm.. let's break -1144 down a little into smaller factors.

-1144=2(-572)=4(-286)=8(-143)=-8(13)(11)=-26(44)

We found a pair of factors that will work? -26 and 44.

So the factorization of our quadratic equation is (n-26)(n+44)=0.

This implies either n-26=0 or n+44=0 .

n=26 by adding 26 on both sides for first equation.

n=-44 by subtracting 44 on both sides for second equation.

n=26 is the only one that works.

This means there are 26 rows and 26+18 seats in each row.

26 rows

44 seats in each row

That product does equal 1144 seats in all.

PUWID, du then solve.
Timothy's father will build a shed for his tools. It will be a square with a
1 side that measures 8 m. What is the area of the shed?
1. What is asked?
testy​

Answers

Answer:

The area of the shed=[tex]64m^2[/tex]

Step-by-step explanation:

We are given that

Side of square =8m

We have to find the area of the shed.

To find the area of shed we will find the area of square.

We know that

Area of square=[tex]side\times side[/tex]

Using the formula

Area of square=[tex]8\times 8[/tex]

Area of square=[tex]64m^2[/tex]

Area of shed=Area of square

Area of shed=64 square m

Hence, the area of the shed=[tex]64m^2[/tex]

Which could be the function graphed below?

Answers

[tex]f(x)=\sqrt{x} -2[/tex] is the correct option

Convert 0.0177 to a percent and a fraction.

Answers

percent: 1.77%
fraction: 177/10,000

3 Lizzie buys 3 clocks for a total cost of £50 at a car boot sale.
She sells 2 of the clocks for £22 each and the other clock for £20
Lizzie thinks she has made a profit of over 30% of the cost of the clocks.

Answers

Answer:

28% She didn't make a profit over 30%

Step-by-step explanation:

She buys the clocks for 50 pounds

She sells them for 22 + 22 + 20 = 64 pounds.

The profit is 14 pounds

What's the % profit.

Profit % = 14/50*100 = 28%

She's not quite right.

Which of the following is NOT equivalent to 2x + x - y + 3 + 5?

x + x + x - y + 8
3x - y + 8
2x 2 - y + 5 + 3
x + 2x - y + 5 + 3

Answers

Answer:

2x 2 - y + 5 + 3

Step-by-step explanation:

2ggfdfguutffyreryyrrrrrrrr

A rectangle has a height of 4 and a width of x2 + 3x + 2.
whats the area of the entire rectangle?

Answers

Answer:

4x^2 + 12x + 8

Step-by-step explanation:

Won't go into it since some wonderful moderator will probably delete this because they feel like it.

But the answer is correct.

what is the circumference of a circle whose radius squared is 113

Answers

C=2πr=2·π·113≈709.99994

Answer:

[tex] C = 2 \pi \sqrt{113} [/tex]

[tex] C \approx 66.79 [/tex]

Step-by-step explanation:

[tex] C = 2 \pi r [/tex]

[tex] r^2 = 113 [/tex]

[tex] r = \sqrt{113}} [/tex]

[tex] C = 2 \pi \sqrt{113} [/tex]

[tex] C \approx 66.79 [/tex]

Problem is in the picture below

Answers

Answer:

90 maybe is a correct answer

Answer:

Y=40°

Step-by-step explanation:

VUW~YXZ

VWU~YZX

YXZ+XYZ+YZX=180°

70°+XYX+70°=180°

140°+XYZ=180°

XYZ=180°-140°

XYZ=40°

The equivalent equation is found by distributing the
1
to get
4.

Answers

The question is incomplete, complete version is written in the comment section below :

Answer:

Kindly check explanation

Step-by-step explanation:

1 / 4 (16 + 12x) = 28

Opening the bracket :

1/4 * 16 + 1/4 * 12x = 28

4 + 3x = 28

Subtract 4 from both sides :

4 + 3x - 4 = 28 - 4

3x = 24

Divide both sides by 3

3x / 3 = 24 / 3

x = 8

87,521 rounded to the nearest hundred

Answers

Answer:

87,500

Step-by-step explanation:

Since the last 2 digits arent 5 or greater than 5 it can not be rounded to the next hundred.

Answer:

875

Step-by-step explanation:

th t h t u

8 7 5 2 1

the hundred is 5 so the next digit after that is 2 remember 0 to 4 round down 5 to 9 round up

so 875


X
10
11
12
y
27
a
11

In order for the data in the table to represent a linear
function with a rate of change of -8, what must be the
value of a?

0
a = 2
a=3
a = 19
a = 35

Answers

Answer:

a = 19

Step-by-step explanation:

Form a equation using y = mx + c form

(27) = (-8)(10) + c

27 = -80 + c

107 = c

y = -8x + 107

Substitute the x value to find a

y = -8(11) + 107

y = 19

Find the simple interest on the following. 1 ) Rs 1,760 for 3 years 6 months at the rate of 12% p.a.​

Plss help me

Answers

Answer:

739.2

Step-by-step explanation:

An adult soccer league requires a ratio of at least 2 women per 7 men on the roster. If 14 men are on the roster, how many women are needed to maintain that ratio?

Answers

Answer:

Atleast 4 women

Step-by-step explanation:

Ratio of

Women to men = 2 : 7

Number of women needed to maintain the ratio if there are 14 men on the roster :

The minimum number of women required :

(2 : 7) * number of men in roster

(2 / 7) * 14

2 * 2 = 4 women

Atleast 4 women are required to main the ratio

Michael wants to buy some new exercise equipment for his home gym for 372,000 financial at an annual interest rate of 12% using the add on method. If michael wants to pay off the loan in 2 years. What will be his monthly payment?​

Answers

Step-by-step explanation:

the answer of this question will be 88,800

Answer:

Step-by-step explanation:

(x+2)(x+3)(x+4)x(+5)-48

Answers

Answer:

(12+2)(15+3)(9+4)(2+5)-48

=4

SCALCET8 3.9.015. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast is the tip of his shadow moving when he is 35 ft from the pole

Answers

Answer:

[tex]X=6.67ft/s[/tex]

Step-by-step explanation:

From the question we are told that:

Height of pole [tex]H_p=15[/tex]

Height  of man [tex]h_m=6ft[/tex]

Speed of Man [tex]\triangle a =4ft/s[/tex]

Distance from pole [tex]d=35ft[/tex]

Let

Distance from pole to man=a

Distance from man to shadow =b

Therefore

 [tex]\frac{a+b}{15}=\frac{b}{6}[/tex]

 [tex]6a+6b=15y[/tex]

 [tex]2a=3b[/tex]

Generally the equation for change in velocity is mathematically given by

 [tex]2(\triangle a)=3(\triangle b )[/tex]

 [tex]2*4=3(\triangle b)[/tex]

 [tex]\triangle a=\frac{8}{3}[/tex]

Since

The speed of the shadow is given as

 [tex]X=\triangle b+\triangle a[/tex]

 [tex]X=4+8/3[/tex]

 [tex]X=6.67ft/s[/tex]

Perform the following division 3 3/4 ÷ 2/8

Answers

15

3 3/4 = 15/4
(15/4)/(2/8)=(15/4)*(8/2)=15

Answer:

[tex]15[/tex]

Step-by-step explanation:

[tex]3\frac{3}{4}\div\frac{2}{8}[/tex]

Turn the mixed number into an improper fraction

[tex]\frac{15}{4} \div\frac{2}{8}[/tex]

keep change flip

[tex]\frac{15}{4} *\frac{8}{2}[/tex]

cancel with GCF

[tex]\frac{15}{1} *\frac{2}{2}[/tex]

simplify

[tex]15*1[/tex]

solve

[tex]15[/tex]


11
5
у
х
Find the value of x.

A) 4rad5
B) 8rad5
C) 6
D) 16

Answers

Answer:

Option A, 4rad5

Step-by-step explanation:

x² = 5*(5+11)

x² = 5*16

x² = 80

x = 4√5

Answered by GAUTHMATH

NEEED HELP FROM BRAINLIEST??????




If the point (1,4) is on the graph of an equation, which statement must be
true?
A. The values x= 1 and y= 4 make the equation true.
B. The values x= 4 and y= 1 make the equation true.
C. The values x= 1 and y= 4 are the only values that make the
equation true.
D. There are solutions to the equation for the values x= 1 and x= 4.

Answers

Answer:

A

Step-by-step explanation:

Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34. Give an approximate estimate of the standard deviation of the number of the points scored. Assume the points scored has a normal distribution.

Answers

Answer:

An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Suppose that the middle 95% of average scores in the NBA per player per game fall between 8.18 and 31.34.

This means that there is 4 standard deviations within this interval. So

[tex]4s = 31.34 - 8.18[/tex]

[tex]4s = 23.16[/tex]

[tex]s = \frac{23.16}{4}[/tex]

[tex]s = 5.79[/tex]

An approximate estimate of the standard deviation of the number of the points scored per game is of 5.79.

Any two normal curves are the same except for their Multiple Choice standard deviations. means. standard deviations and means. standard deviations, means, skewness, and kurtosis.

Answers

Answer:

Standard deviation, means, skewness and kurtosis.

Step-by-step explanation:

Two normal curves may be same but they have different means, standard deviation and skewness. There can be different standard deviation for two curves and there is difference in skewness.

Which list shows the following numbers in order from least to greatest: -15, 8, 4, -3, -7,

4, 8, -15, -7, -3

-15, 8, 4, -3, -7.

-15.-7.-3, 4.8

-15.-3, 4, -7.8

Answers

-15 , -7 ,-3 , 4 , 8 is the answer

HELP ASAP PLS Select the correct answer.
A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with
each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total
quantity of visible light emitted by a source,
Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.

Answers

Answer:

D. 750(0.75)ˣ

Step-by-step explanation:

Let the new brightness be L'. Since our initial brightness L₀ reduces by 25 %, we have that L' = L₀ - 25% of L₀

L' = L₀ - 0.25L₀

L' = 0.75L₀

Adding the second screen, the new intensity is L" = L' - 25 % of L'  

L" = L' - 0.25 L'

L" = 0.75L'.

Since L' = 0.75L₀,

L" = 0.75L' = 0.75(0.75L₀) = 0.75²L₀

Adding the third screen, the new intensity is L"' = L'' - 25 % of L''  

L'" = L" - 0.25 L"

L"' = 0.75L".

Since L" = 0.75L' = 0.75²L₀

L"' = 0.75L" = 0.75(0.75²L₀) = 0.75³L₀

So, we see a pattern here.

The intensity after x screens is L = (0.75)ˣL₀

Since L₀ = 750 lumens,

L = 750(0.75)ˣ

In May 2010, the Pew Research Center for the People & the Press carried out a national survey to gauge opinion on the Arizona Immigration Law. Responses (Favor, Oppose, Don’t Know) were examined according to groups defined by political party affiliation (Democrat, Republican, Independent). Which of the following would be appropriate for displaying these data?

a. Pie charts
b. Segmented bar chart.
c. Side by side bar chart.
d. Contigency table

Answers

Answer:  d. Contingency table

Explanation:

It's most effective to use a contingency table because we have two variables here: 1) the responses, and 2) the party affiliation.

We can have the responses along the rows and the party affiliation along the columns, or vice versa.

See the example below. The values are completely random simply for the purpose of the example (and not drawn from any real life data source).

As per the given options, the appropriate for the displaying these data will be contingency table. Hence, option D is correct.

What is a Pie chart?

A pie chart is a visual depiction of information in the shape of a pie, where the pieces of the pie represent the magnitude of the data. To depict data as a pie chart, you need a list of quantitative variables as well as categorical variables.

As per the given information in the question,

A contingency table in statistics is a particular kind of matrix-style table that shows the frequency of the variables. They are extensively utilized in scientific, engineering, business intelligence, and survey research.

To know more about Pie charts:

https://brainly.com/question/24207368

#SPJ5

Im asking a question because yes

+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+

ANSWER WITH A, B, C, OR D.


A fruit stand has to decide what to charge for their produce. They need $10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.

Can we find a unique price for an apple and an orange?


Choose 1 answer:


A

Yes; they should charge $1.00 for an apple and $1.50 for an orange.


B

Yes; they should charge $1.00 for an apple and $1.00 for an orange.


C

No; the system has many solutions.


D

No; the system has no solution.

Answers

Answer:

I believe the answer would be A!

Step-by-step explanation:

If you need $10 total, then charging $1 for 4 apples would get you $4, and charging $1.50 for 4 oranges would get you $6, totaling $10!

A small radio transmitter broadcasts in a 69 mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

Answers

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

We have A small radio transmitter that broadcasts in a 69-mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter.

Thus,

The distance that you get reception is the length of the chord created by the intersection of the circle defining the edge of transmission and the line defining the car trip.

 x2 + y2 = 69²               this is the circle

And,

The Transmitter at the origin

City to the north at (0,93)  & City to the east at (78,0)  

the Slope is M=(-93/78)

Intercept is B= y - mx ⇒  93 - (-93/78)(0) = 93

The equation of the line between the cities is y = (-93/78)x + 93

y = -93x/78 + 93           this is the line

Now, Solve the above two Equations

The intersection is gotten from the picture or solving:

x^2 + [(-93/78)*x + 93]^2 = 69^2

on solving we get, the points approximately are: (67.952,11.98 ) and (23.6277, 64.82)

Now,

From the Pythagorean theorem the total distance of the trip is:  

d1 = √(93^2 + 78^2) ≈ 121.37miles  

And the distance when the signal is picked up is:

d2 =√ [(67.952-23.627)^2 + (64.82 - 11.98)^2] ≈ 68.96 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 56% of the drive.

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