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2 years ago

8

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb

weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

1 answer:

RUDIKE [14]2 years ago

7 0

The equation would be 3x+10y=50.

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Quadrilateral ABCD is inscribed in this circle.

murzikaleks [220]

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180 Combine like terms

5x - 60 = 180 Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

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So C = 180 - 100

C = 80

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2 years ago

X 20) Becca has 3 times more games than Susan has. Write an algebraic

vova2212 [387]

Answer:

3*x

Step-by-step explanation:

If Becca has 3 times the amount of games as Susan then you would multiply the number of games Susan has by 3. So we can use X (or another letter) to represent the number of games Susan has. Giving us 3*x

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2 years ago

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

3 years ago

A rectangular plot of ground is 10 meters longer than it is wide. It’s area is 20,000 square meters what equation will help find

kow [346]

If x=width, then the equation would be:

x(x+10)=20,000

The length is 10 meters longer than the width(x), so the length is x+10.
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Hope this helps.

3 0

3 years ago

19 PTS!!!! PLZ HELP ASAP

Ira Lisetskai [31]

The number of muffin can yield is 18.

Step-by-step explanation:

Given:

The recipe needs $\frac{3}{4}$ cup chopped apple.

To find:

Umber of muffins when 1 $\frac{1}{8}$ cup chopped apple is given.

Solution:

1 $\frac{1}{8}$ ÷ $\frac{3}{4}$ = 1.5

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So, the number of muffins will be = 12 × 1.5

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Thus 18 muffins can be yielded from a batch that contains 1 1/8 cups of chopped apple

6 0

3 years ago

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