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Phantasy [73]
3 years ago
5

Answer these five journal problems with the same 3 questions for each problem.

Mathematics
1 answer:
vichka [17]3 years ago
8 0

Answer:

Step-by-step explanation:

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In one game, the ratio of three-point baskets to three-point tries for one team was 3:8. If the team scored 27 points from three
nasty-shy [4]

Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:

\frac{3}{8} = \frac{27/3}{?}

The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.

Simplify (Also replace the ? with an unknown variable):

\frac{3}{8} = \frac{9}{n}

Cross multiply:

3*n = 9*8

Simplify:

3n = 72

Divide both sides by 3:

n = 24

The team had 33 three point tries, 9 successes, and 24 fails.

-T.B.

7 0
3 years ago
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
A dealer paid $10,000 for a boat at an auction. At the dealership, the sales person sold the boat for 30% more than the auction
Margaret [11]
The answer is B, $10,000 is given and is not a variable that can be changed, since there are 150 band students raising money it would be 150x, and the 30,000 is the goal of the fundraiser
8 0
3 years ago
I must also show my work, but I do not know how to do this problem
Vinvika [58]

Answer:

x = 10

Step-by-step explanation:

We know that the sum of angles in a triangle is equal to 180 degrees;

This means that

71+50+(6x-1) = 180; now that you have an algebraic expression, you can solve for x.

71+49+6x=180

120+6x = 180

6x = 60

x = 10

6 0
2 years ago
Mary borrowed $21,500 to buy a truck for her business. She borrowed from her parents who charge her 3% simple interest. She borr
Murrr4er [49]
8,649 dollars to be exact
6 0
3 years ago
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