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3 years ago

Which value is equivalent to the expression 32 × 33?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

The correct answer is D) 243

Step-by-step explanation:

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If there are 48 boys and 64 girls and the teachers decided to put them each in in equal rows only boys or girls will be in each

german

Answer: 16

Step-by-step explanation:

The question seeks to know the largest number of people that can sit in each row.

To answer this, find the Highest Common Factor of the numbers 48 and 64.

Factors of 48 ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

Factors of 64 ⇒ 1, 2, 4, 8, 16, 32 and 64

Because the teacher wants the rows to be equal with either only boys or only girls sitting in them, the highest number of people that can sit in a row will be 16.

There will be 7 rows in total.

Boys ⇒ 48/ 16 = 3 rows

Girls ⇒ 64/16 = 4 rows

5 0

2 years ago

In ΔBCD, the measure of ∠D=90°, DC = 12, BD = 35, and CB = 37. What is the value of the tangent of ∠B to the nearest hundredth?

Maru [420]

Answer:

0.34

Step-by-step explanation:

5 0

2 years ago

Describe the graph of the function f(x) = x3 − 15x2 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph

solong [7]

So this would be a cubic graph because the largest exponent is a 3.

The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.

The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8

So in Summary:

This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)

5 0

3 years ago

A charitable organization packed 72 bags of rice, 48 blankets, and 24 cases of water equally in the boxes. Find the greatest pos

AysviL [449]

Answer:

The greatest possible number of boxes that is needed to pack the items with no leftovers is 24.

Step-by-step explanation:

Given:

Number of rice bags = 72

Number of blankets =48

Number of water cases = 24

To Find :

The greatest possible number of boxes that the items can be packed into so that there are no leftover = ?

Solution:

we can find the greatest possible number of boxes that is required by finding the HCF(Highest common factor) of(24,48,72)

Finding the HCF (Highest common factor):

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

24 is the greatest common factor

Hence 24 will the number boxes required

6 0

3 years ago

Item 1<br> Find the dimensions of the square.<br><br> Area = 441 cm²

mafiozo [28]

Answer:

21 cm by 21 cm

Step-by-step explanation:

The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,

441 cm² = x²

This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.

The dimensions of the square are 21 cm by 21 cm.

3 0

2 years ago