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3 years ago

The volume of a cuboidal box is 21952 cubic cm. Find the length of each side of the box.

Mathematics

2 answers:

dezoksy [38]3 years ago

7 0

Answer:

28 cm

Step-by-step explanation:

V=a³

a= ∛V= ∛21952 cm³ = 28 cm

vodomira [7]3 years ago

6 0

Answer:

<h2><em><u>28 is the answer because you have to find the cube root of the volume.</u></em></h2>

Step-by-step explanation:

28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.

Hope this helped,

Kavitha

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each month luke earns a salary of 3500 plus 15%at the total ampount of his sales for the month luke earned 4760 in march .what w

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Hey. Let me help you on this one.

In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.

I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.

We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.

$4760-3500=1260$

Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.

Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.

$\frac{1260}{15} =84$

Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.

$84*100=8400$

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Answer: Total amount of Luke's sales in dollars is $8400

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3 years ago

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3 years ago

Find the product using model or drawing

antiseptic1488 [7]

Fraction multiplication involves multiplying the numerators and the denominators to get the numerator and the denominator of the product respectively

Please find the attached diagrams

1. $\dfrac{2}{15}$ , 2. $\dfrac{3}{8}$ , 3. $\dfrac{1}{12}$ , 4. $\dfrac{7}{21}$ , 5. $\dfrac{3}{10}$

6. 51, 7. 1, 8. 22, 9. $\dfrac{36}{55}$ , 10. $5\dfrac{1}{3}$

Reasons:

The process of multiplication of factors using a model includes;

Creating a table that have the number of rows and columns equal to the values in the denominator of the two fractions respectively

Shading the number of columns given by the numerator of the fraction that has a denominator equal to the number of columns in the table

Shading the number of rows given by the numerator of the fraction that has a denominator equal to the number of rows in the table

Ensuring that the common area are shaded to a different color

Simplifying the result

1. $\dfrac{2}{3} \times \dfrac{1}{5} = \dfrac{2}{15}$

2. $\dfrac{1}{2} \times \dfrac{3}{4} = \dfrac{3}{8}$

3. $\dfrac{1}{4} \times \dfrac{2}{6} = \dfrac{2}{24} = \dfrac{1}{12}$

4. $\dfrac{1}{7} \times \dfrac{2}{3} = \dfrac{7}{21}$

5. $\dfrac{4}{8} \times \dfrac{3}{5} = \dfrac{12}{40} = \dfrac{3}{10}$

Second part

6. When calculating fractions, 'of' means to 'multiply by', therefore, we have;

$\dfrac{17}{25} \times 75= \dfrac{17}{25} \times 25 \times 3 = 17 \times 3 = 51$

7. $\dfrac{7}{6} \times \dfrac{24}{28} = \dfrac{7}{6} \times \dfrac{6 \times 4}{7 \times 4} = \dfrac{7}{6} \times \dfrac{6}{7 } = 1$

8. $12 \times 1\dfrac{5}{6} =6 \times 2 \times \dfrac{11}{6} =2 \times {11} = 22$

9. $\dfrac{4}{5} \times \dfrac{9}{11} = \dfrac{4 \times 9}{5 \times 11} = \dfrac{36}{55}$

10. $6\dfrac{2}{3} \times \dfrac{12}{15} =\dfrac{20}{3} \times \dfrac{12}{15} = \dfrac{4 \times 5}{3} \times \dfrac{4 \times 3}{5 \times 3} = \dfrac{4}{3} \times {4} = \dfrac{16}{3} = 5\dfrac{1}{3}$

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3 years ago

12) PLEASE HELP WITH QUESTION, MARKING BRAINLIEST + POINTS GIVEN

gogolik [260]

Hey there!

To start, when you perform (f+g)(x), you are adding the functions together. This would mean, you would add 4x+9 to 4x^2. This should look like this:
(4x+9)+(4x^2)

Because there are no like terms, your final answer would be 4x+9+4x^2 or the last answer choice.

Hope this helps and have a marvelous day! :)

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3 years ago

1. which data set represents an increasing, linear function? (1 point)

GenaCL600 [577]

#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.

#2) Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

Add 5 to both sides:
6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.

#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.

#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.

3 0

3 years ago

Read 2 more answers

The volume of a cuboidal box is 21952 cubic cm. Find the length of each side of the box.​

The volume of a cuboidal box is 21952 cubic cm. Find the length of each side of the box.