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nekit [7.7K]
3 years ago
7

Anthony and Andrew raised money for charity in the ratio 3:7. Anthony raised $177. How much did Andrew raise?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

I'm pretty sure it's 413

Step-by-step explanation:

so I divided 177 by 3 to get 59

then multiplyed 59 by 7 to get 413

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the figure is made up of a semicircle and a triangle. Find the area of the figure. Use pi equals 3.14​
valentinak56 [21]

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of triangle

step 1

Find the area of semicircle

The area of semicircle is

A_1=\frac{1}{2}\pi r^{2}

we have

r=10/2=5\ ft ----> the radius is half the diameter

\pi =3.14

substitute

A_1=\frac{1}{2}(3.14)5^{2}

A_1=39.25\ ft^2

step 2

Find the area of the triangle

The area of triangle is equal to

A_2=\frac{1}{2}bh

we have

b=8\ ft\\h=6\ ft

substitute

A_2=\frac{1}{2}(8)(6)

A_2=24\ ft^2

step 3

The area of the figure is equal to

A=A_1+A_2

substitute

A=39.25+24=63.25\ ft^2

5 0
4 years ago
Sets A and I are defined as follows. A = { − 1 , 0 , 1 , 2 , 4 , 6 , 7 } I = { − 2 , − 1 , 1 , 2 , 8 } Find the intersection of
mars1129 [50]
<h3>Answer:   {-1, 1, 2}</h3>

==========================================================

Explanation:

Start with set A and circle any value that you find in set I. Those values are  -1, 1, and 2. These elements are found in both sets at the same time, hence they are in the intersection of set A and set I

Refer to the Venn diagram below. We have the values -1, 1, and 2 in the blue overlapped region. A value like 4 is only found in set A, so it's inside circle A, but outside circle I. On the flip side, a value like 8 is found outside of circle A but inside circle I.

The use of curly braces in the answer tells the reader we're dealing with a set of values. The order doesn't matter for any given set. Often it's helpful to put it in order from smallest to largest.

8 0
3 years ago
A catering company prepared and served 300 meals at an anniversary celebration last week using eight workers. The week before, s
swat32

Answer:

II case.

Step-by-step explanation:

Given that a catering company prepared and served 300 meals at an anniversary celebration last week using eight workers.

The week before, six workers prepared and served 240 meals at a wedding reception.

Productivity is normally measured by number of outputs/number of inputs

Here we can measure productivity as

no of meals served/no of workers

In the I case productivity =\frac{300}{8} \\=37.5

In the II case productivity = \frac{240}{6} \\=40

Obviously II case productivity is more as per worker 40 meals were served which is more than 37.5 meals per worker in the I case.

3 0
3 years ago
A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number
Tanzania [10]
This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)

A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)

The diagonal is 11 feet (to the nearest whole number)
7 0
3 years ago
MOLECULES A glass of water contains 0.25 liter of water. If 1 milliliter of water contains 3.3 x 10^22 water molecules, how many
ValentinkaMS [17]

Answer:

8.25*10^24

Step-by-step explanation:

1000*.25= 250 (this converts the .25 into milliliters)

250(3.3 * 10^22)

= 8.25*10^24

7 0
3 years ago
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