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3 years ago

What is 1/8 times 4/7 written in simplest form

Mathematics

2 answers:

Pepsi [2]3 years ago

7 0

Your answer is 1/14.

pantera1 [17]3 years ago

3 0

I hope this helps you

1/8×4/7=1/14

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What is the value of -2(x + 5)?

Nataly_w [17]

Answer:

Expand by distributing terms.

-2x-2\times 5−2x−2×5

Simplify 2\times 52×5 to 1010.

-2x-10−2x−10

3 0

2 years ago

In a scale drawing, a building has a length of 15 cm. The actual length of the building is 37.5 feet. Whats the scale of the dra

Feliz [49]

Answer:

$\frac{15}{37.5}\ \frac{cm}{ft}$

$1.31:100$

Step-by-step explanation:

we know that

The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building

$\frac{15}{37.5}\ \frac{cm}{ft}$

That means

15 cm in the drawing represent 37.5 ft in the actual

Remember that

$1\ ft=30.48\ cm$

Convert 15 cm to ft

divide by 30.48

$15\ cm=15/30.48\ ft$

substitute

$\frac{15}{37.5}\ \frac{cm}{ft}=\frac{(15/30.48)}{37.5}=\frac{0.0131}{1}$

$1.31:100$

That means

1.31 units in the drawing represent 100 units in the actual

5 0

3 years ago

Which functions domain consists of all real numbers except -2?

Eddi Din [679]

Answer:

option (a) f(x)= 1/x+2

Step-by-step explanation:

(a) f(x) = 1/ x+2

To find the restriction for domain , we set the denominator =0 and solve for x

x+2 =0, so x=-2

When x=-2 then denominator becomes 0 that is undefined.

So, domain is all real numbers except -2

(b) f(x)= 2x

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

f(x) = 1/ sqrt(x+2)

if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined

x+2>0, x>-2

Hence domain is all real numbers that are greater than -2

8 0

3 years ago

Find an equation of the line passing through the given points. Use function notation to write the equation. (3,8) and (4,13

Olegator [25]

Answer:

$f(x)=5x-7$

Step-by-step explanation:

The given line passes through the points;

$(x_1,y_1)=(3,8)$

and

$(x_2,y_2)=(4,13)$

Let us find the slope using;

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{13-8}{4-3}$

$m=\frac{5}{1}=5$

The equation is given by;

$y-y_1=m(x-x_1)$

We substitute the values into the formula to obtain;

$y-8=5(x-3)$

$y=5x-15+8$

$y=5x-7$

There the equation of the line is

$f(x)=5x-7$

7 0

3 years ago

A packing carton in the shape of a triangular right prism shown below. Find the volume of the prism.

Annette [7]

Answer: The volume is 120 $in^3$ .

Step-by-step explanation:

-The volume formula for a triangular prism is:

(Height × Base × Length) /2

-So, you put the height, base, and length:

(4 × 6 × 10)

-Then, you solve:

(4 × 6 × 10)

(24 × 10)

240

-Divide 240 by 2:

240 ÷ 2

120

Therefore, the volume of a Triangular Prism is $120in^3$ .

3 0

3 years ago