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REY [17]
3 years ago
5

A holiday toy drive is putting together baskets for children they’re 84 toys and 56 books if each basket or see the same number

of toys and books and how many baskets can be made
Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer:

28 baskets

Step-by-step explanation:

Given:

Total number of toys = 84

Total number of books = 56

To find the number of baskets than can be made by putting same number of toys and books in each basket.

Solution:

In order to find the number of baskets that can made by dividing 84 toys and 56 books equally in each basket, we will find the greatest common factor of the two numbers.

The factors of the numbers can be given as:

84=2\times 2\times 3\times 7

56=2\times 2\times 2\times 7

Thus, G.C.F.= 2\times 2\times 7=28

Thus, a total 28 baskets can be made, each basket having 3 toys and 2 books.

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An agent buys an item at 70% of its value and sells it at 10% more than its value. What percent of the cost is his profit?
musickatia [10]
Lets say the initial cost is 100 dollars. The agent would buy it for 70 dollars. If he sold it for 10% more than what he bought it for, he would be selling it for 77 dollars, making a total profit of 37 dollars. This would mean that he made a 48% profit.
8 0
3 years ago
The finite sequence whose general term is an = 0.17n2 - 1.02n + 6.67 where n = 1, 2, 3, ..., 9 models the total operating costs,
Inessa05 [86]
Calculate for the values of the terms by substituting 1 to n for 1991, 2 for 1992, 3 for 1993, and so on up to 9 for 1999.

We may opt to solve for the A for the 9 terms such as below.

n = 1.
  A₁ = 0.17(1²) - 1.02(1) + 6.67 = 5.82
  A₂ = 0.17(2²) - 1.02(2) + 6.67 = 5.31
  A₃  = 0.17(3²) - 1.02(3) + 6.67 = 5.14
 A₄  = 0.17(4²) - 1.02(4) + 6.67 = 5.31
 A₅  = 0.17(5²) - 1.02(5) + 6.67 = 5.82
A₆  = 0.17(6²) - 1.02(6) + 6.67 = 6.67
A₇  = 0.17(7²) - 1.02(7) + 6.67 = 7.86
 A₈  = 0.17(8²) - 1.02(8) + 6.67 = 9.39
 A₉ = 0.17(9²) - 1.02(9) + 6.67 = 11.26 

The sum of these values is $62.58. The answer is not among the choices. 
7 0
3 years ago
PLEASE HELP! Do the angles stay the same degrees when the shape is reduced or enlarged?
stira [4]
Well....if the triangle shape stays the same then the angle stays the same even if its enlarged in size. It will stay the same because you didn't change the way the shpae looks like, it is just zoomed in.

Answer: The angle measurements stay the same when the figure is enlarged or reduced
5 0
4 years ago
Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric
mariarad [96]

Answer:

\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan  \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a  branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of  θ  then r=\sqrt{x^2+y^2}

r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17 units

\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan  \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan  \theta}=\frac{-8}{15}

6 0
3 years ago
Show all your work to graph f(x) = −2(x − 4)^2 + 2.
Lelu [443]

Answer:

The answer to your question is

Step-by-step explanation:

Data

        f(x) = -2(x - 4)² + 2

Process

1) Assign values to x and evaluate the function to get y.

                          x             f(x)                           y

                          0            -2(0 - 4)² + 2           -30

                           1           -2(1 - 4)² + 2             -16

                           2          -2(2 - 4)² + 2            - 6

                           3          -2(3 - 4)² + 2              0

                           4          -2(4 - 4)² + 2              2

                           5         -2(5 - 4)² + 2               0

                           6         -2(6 - 4)² + 2              -6

2.- Plot the points (see the graph below)

3.- Join the points (see the graph below)

6 0
3 years ago
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