1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elina [12.6K]
3 years ago
15

Deborah has 104 baseball cards. She gave 16 baseball cards to her brother Corey. Then she put the remaining baseball cards in an

album with 9 baseball cards on each page. How many pages of the album did Deborah use to store all of the baseball cards? Explain your thinking
Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

Deborah used 10 pages

104-16=89

89 divided by 9 is 9.89

so Deborah filled 9 full pages and 89% of a 10th page

therefore, she used 10 pages

Step-by-step explanation:

You might be interested in
Draw the image of ABC under translation by 3 units to the right and 4 units down
dmitriy555 [2]

where is the original shape coordinates because we need the original coordinates to answer ir

8 0
3 years ago
Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub
ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

V = 288 --- Volume

C_1 = 0.06 --- cost of wall paint

C_2 = 0.16 ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

V =xyz

Substitute 288 for V

288 =xyz

Make z the subject

z = \frac{288}{xy}

The surface area is calculated as:

Area = 2(yz + xz) + xy

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

C = 0.06 * 2(yz + xz) + 0.16 * xy

Substitute z = \frac{288}{xy}

C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy

C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

Differentiate w.r.t x and y

C_x = -\frac{34.56}{x^2} + 0.16y

C_y = -\frac{34.56}{y^2} + 0.16x

By comparison: x = y

Set them equal to 0

C_y = -\frac{34.56}{y^2} + 0.16x=0

-\frac{34.56}{y^2} + 0.16x=0\\

Substitute x for y

-\frac{34.56}{x^2} + 0.16x=0

0.16x=\frac{34.56}{x^2}

Cross multiply

0.16x^3 = 34.56

x^3 = \frac{34.56}{0.16}

x^3 = 216

Take the cube root of both sides

x = \sqrt[3]{216}

x = 6

x=y= 6

Substitute 6 for x and for y in C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6

C = (\frac{2*34.56}{6}) + 5.76

C = 11.52 + 5.76

C = 17.28

C = 17.3 --- approximated

8 0
3 years ago
What is 44/9 in a mixed number
lesya [120]
44/9 = 4 remainder 8 so as a mixed number it is 4 and 8/9
8 0
3 years ago
Read 2 more answers
Find the missing side or angle. round to nearest tenth <br> A=18<br> B=28<br> C=100<br> a=?
igomit [66]

Answer:

The missing side, a = 100.50

Step-by-step explanation:

The given information are;

A = 18

B = 28

C = 100

a = Required,

The number of data points in the definition = 3, therefore, the figure is a three sided figure or a triangle

The sum of the given data is 18 + 28 + 100 = 146 which is less than the sum of the interior angles of a polygon, the minimum of which is 180° for a triangle.

However, the length of the two sides A and B are less than the third side C, therefore, the sides need more length for them to form a triangle

The fourth required information can be taken as the fourth side of a trapezium, to give;

Length of a = √((28 - 18)² + 100²) = 100.499, which can be written to the nearest 10th as 100.50.

7 0
4 years ago
Thomas buys 7 souvenirs for his friends and family. Each gift takes up 1/16 of his
lakkis [162]

Answer:  1 9/15

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What are two ratios that are equivalent to 3/5?
    12·1 answer
  • The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
    5·2 answers
  • Simplify 6(x + y) + (x - y). 6x 7x 7x + 6y 7x + 5y
    7·1 answer
  • Two cards are drawn in a row without replacement. What is the probability of drawing three pink cards?
    14·1 answer
  • Simplify the expression by combing any like terms 2a+3-5a+8b
    7·2 answers
  • . On a playground, there are 25
    7·1 answer
  • Solve: | x-3 | + 2 = −3
    8·2 answers
  • The diameter of a bicycle wheel is 71 cm. calculate the circumference of the wheel​
    10·1 answer
  • As an estimation we are told 5 miles is 8 km.<br> Convert 42.5 miles to km.
    8·2 answers
  • The value of a house increases by 20% each year.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!