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3 years ago

Factor out the coefficient of the variable 1/3b - 1/3

Mathematics

1 answer:

Ad libitum [116K]3 years ago

3 0

Both terms (1/3b and -1/3) contain the term 1/3. Factoring this out, we get:

1/3(b - 1)

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A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16 tortes. How many

Alenkinab [10]

If you would like to know how many tortes are left, you can calculate this using the following steps:

five chocolate tortes - 2 5/16 tortes = 5 - 2 5/16 = 5 - 37/16 = 80/16 - 37/16 = 43/16 = 2 11/16

The correct result would be D. 2 11/16.

3 0

3 years ago

Read 2 more answers

In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157

allochka39001 [22]

Answer:

See explanation

Step-by-step explanation:

Required

Divide 157 by 10 repeatedly.

This is done as follows...

157 Divided by 10 = 15 Remainder 7

15 Divided by 10 = 1 Remainder 5

1 Divided by 10 = 0 Remainder 1

<em>As per the requirement of the question, no further action or operation is required</em>

8 0

3 years ago

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

8 0

4 years ago

Read 2 more answers

For the following exercises, find a formula for an exponential function that passes through the two points given. (0,6) and (3,7

kirill [66]

$\boxed{\boxed{f(x)=6(5)^x}}$

<h2>Explanation:</h2>

An exponential function is given by the following form:

$y=ab^x \\ \\ Where: \\ \\ a \ is \ a \ constant \ and \ b \ is \ the \ base$

Here we know two points:

$(0,6) \ and \ (3,750)$

$\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}$