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aleksandrvk [35]
3 years ago
10

A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long If he paints 1/2 of the wall blue, how many square feet will

be blue?
Mathematics
2 answers:
Alja [10]3 years ago
8 0
We can simplify across between the 5 and the 50 and also between the 42 and the 3.
max2010maxim [7]3 years ago
5 0
To find the area of the walk in Marcus's bedroom, we have to use the formula: A = b * h. However, to multiply these two values, we should first transform them into improper fractions.

8 2/5 : 8 * 5 = 40 + 2 = 42/5

16 2/3 : 16 * 3 = 48 + 2 = 50/3

Now, we can begin to solve the problem.

Area of Wall = base * height

Area = (50/3) * (42/5)

Now, we simply multiply the fractions.

Area = 140 square feet

However, this value represents the area of a whole wall of Marcus's room. To find the area of the 1/2 of the wall that he plans to paint blue, we must multiply this value by 1/2.

140 * 0.5 = 70 square feet


Therefore, Marcus is going to paint 70 square feet of the wall blue.
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Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. At the end
navik [9.2K]

Answer: $4900 at 8%

$6000 at 11%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 8% interest.

Let y represent the amount which he invested in the account paying 11% interest.

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. This means that

x + y = 10900

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 8% interest,

P = $x

T = 1 year

R = 8℅

I = (x × 12 × 1)/100 = 0.08x

Considering the account paying 11% interest,

P = $y

T = 1 year

R = 11℅

I = (y × 6 × 1)/100 = 0.11y

At the end of the first year he had earned $1052 in interest., it means that

0.08x + 0.11y = 1052 - - - - - - - - - -1

Substituting x = 10900 - y into equation 1, it becomes

0.08(10900 - y) + 0.11y = 1052

872 - 0.08y + 0.11y = 1052

- 0.08y + 0.11y = 1052 - 872

0.03y = 180

y = 180/0.03

y = 6000

x = 10900 - y = 10900 - 6000

x = 4900

3 0
3 years ago
I can't get to get this right can you please help me​
monitta

Answer:

(-7,4]\text{ or }\{x|-7

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

(-7,4]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.

And in set notation, this is:

\{x|-7

7 0
3 years ago
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Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of plane
Bezzdna [24]

Answer:

Step-by-step explanation:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

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What is 14 ft converted into yards?
Phoenix [80]

Answer:

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Step-by-step explanation:

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Use the diagram and given information to answer the questions and prove the statement.
Greeley [361]

Answer:

See explanation

Step-by-step explanation:

<u> ASA Postulate (Angle-Side-Angle):</u>

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

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By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

6 0
3 years ago
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