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LuckyWell [14K]
3 years ago
9

Simplify. 5(x - y) - (x - y) a. x - y b. x y c. 4x - 4y d. 4x 4y

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0
C is the answer hope this helps. 
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Divide. Write in simplest form. 10 divided by 1 2/3 ?
adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0
3 years ago
A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radi
lisov135 [29]
<h2>Answer:</h2>

\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 11\pi /2=165^{\circ}, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})

Finally, the height is:

H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

6 0
3 years ago
Solve the system by graphing: y=-3x-3 and y=2x+2. Make sure you write your answer as an ordered pair: (x,y)
Rainbow [258]

Answer: (5, 12)

Step-by-step explanation:

Just graph the linear equations and find where they intersect.

Algebraically, you can set them equal to each other

-3x-3=2x+2

-x-3=2

-x=5

x=5

Plug x=5 to any equation

y=2(5)+2

y=12

3 0
3 years ago
Bob sells part of a 50-acre rectangular plot of land he owns so that he can still own a smaller rectangular plot within the orig
Nuetrik [128]

Considering the area of a rectangle, it is found that the area of Bob's remaining plot of land is of 12.5 acres.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by the multiplication of these dimensions, that is:
A = lw.

In this problem, both the length and the width are divided in half, hence the proportion remaining is given by:

A = 0.5l x 0.5w = 0.25lw = 25% of the initial area.

Hence:

0.25 x 50 = 12.5.

The area of Bob's remaining plot of land is of 12.5 acres.

More can be learned about the area of a rectangle at brainly.com/question/10489198

#SPJ1

5 0
2 years ago
Find the value of each variable.
PSYCHO15rus [73]

Answer:

there r no variables shown

Step-by-step explanation:

8 0
2 years ago
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