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ololo11 [35]
3 years ago
8

A piece of land is 8 1/2 miles wide. It is 4 7/8 times as long as it is wide. How long is the piece of land.

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

Length = 41\frac{7}{16}

Step-by-step explanation:

Given

Width = 8\frac{1}{2}

Length =  4\frac{7}{8} times as long as the width

Required

Determine the length

To do this, we simply multiply the length by 4\frac{7}{8}

So, we have:

Length = 4\frac{7}{8} * Width

Substitute 8\frac{1}{2} for width

Length = 4\frac{7}{8} * 8\frac{1}{2}

Convert to improper numbers

Length = \frac{39}{8} * \frac{17}{2}

Length = \frac{39*17}{8*2}

Length = \frac{663}{16}

Length = 41\frac{7}{16}

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leva [86]
For this shape there are four points. The plotted ordered pairs are:
M = (3, 9)
N = (6, 0)
O = (3, 6)
P = (-3, 0)

All you have to do is multiply the BOTH x- and y-values by 1/3 on EACH ordered pair. And if it’s easier, you can divide by 3 as well. It’s the same thing.

M = (3, 9) = (3*1/3, 9*1/3) = (1, 3)
N = (6, 0) = (6*1/3, 0*1/3) = (2, 0)
O = (3, 6) = (3*1/3, 6*1/3) = (1, 2)
P = (-3, 0) = (-3*1/3, 0*1/3) = (-1, 0)

(1, 3) , (2, 0) , (1, 2) , and (-1, 0) are your points.

8 0
3 years ago
Read 2 more answers
Mr. Garcia had some blueberries. He sold 2 3/4 kilograms of the blueberries and packed the rest equally into 9 bags. Each bag co
Snezhnost [94]

Answer:

Mr. Garcia had 5 kilograms of blueberries at first

Step-by-step explanation:

to make this easiest, we can imagine that we're undoing mr. garcia's actions.

So, we can start by 'unpacking' mr garcia's bags

we know that each of the nine bags had 1/4 kilograms, so we can multiply 1/4 by 9 to find the collective mass packed into bags

(remember, multiplication is repeated addition. we could also add 1/4 + 1/4 + 1/4... nine times, but this would take a while)

so,

1/4  x 9 = 9/4

(9 = 9/1 [if that is how you're used to multiplying a fraction])

Then, he also sold 2 3/4 kilograms

so, we can add 2 3/4 + 9/4 to find the total mass of the blueberries at first

2 3/4 + 9/4 =  2 + 12/4

(12/4 = 3)

2 + 3 = 5

So, Mr. Garcia had 5 kilograms of blueberries at first

7 0
2 years ago
Help me with this and I need an explanation I’m confused.
xxTIMURxx [149]
7x10x and use yout braing
5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
777dan777 [17]

Answer:   (C) 13,120

<u>Step-by-step explanation:</u>

Given the sequence {4, 12, 36, 108, ... , 8748} we know that the first term (a) is 4 and the ratio (r) is \dfrac{12}{4}=3

Input the values above into the Sum formula:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{4(1-3^8)}{1-3}\\\\.\quad=\dfrac{4(1-6561)}{-2}\\\\.\quad=\dfrac{4(-6560)}{-2}\\\\.\quad=-2(-6560)\\\\.\quad=13,120

5 0
3 years ago
In the above figure (not drawn to scale), Find ∠AEC.
n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

m\angle AEC=\frac{110^o+40^o}{2}

m\angle AEC=\frac{150^o}{2}

m\angle AEC=75^o

Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.

7 0
3 years ago
Read 2 more answers
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