If a package of cupcake liners contain 75 liners how many liners are there in 13 package

The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?

Charra [1.4K]

Answer:

srry its 31 and 10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In an examination 80% students passed. if 15 less have appeared and 10 less have passed, the ratio of passers to failures would

Nina [5.8K]

Answer:

60 students passed, and 75 appeared in examination.

Step-by-step explanation:

Let's say s is the total number of students and p is the number of students who passed.

80% of the students passed, so:

0.8 s = p

If there were 10 less passers, and 15 less students (5 less failures), then the ratio of passers to failures would be 5/1.

(p − 10) / (s − p − 5) = 5 / 1

Simplify the second equation:

p − 10 = 5 (s − p − 5)

p − 10 = 5s − 5p − 25

6p = 5s − 15

Substitute the first equation.

6 (0.8 s) = 5s − 15

4.8 s = 5s − 15

0.2 s = 15

s = 75

p = 0.8 s

p = 60

60 students passed, and 75 appeared in examination.

5 0

3 years ago

Graph the line with the equation y= 1/2x -1

spayn [35]

Answer:

Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.

Step-by-step explanation:

Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.

4 0

3 years ago

Can u help me find the area

kirill115 [55]

Answer:

640 units squared

Step-by-step explanation:

The shape below is a trapezoid.

The formula for the area of a trapezoid is average of the bases times the height.

The bases are the parallel lines that make up 2 of the sides of the trapezoid.

The height is the line dotted line that creates right angles and is the distance between the two bases.

The bases are 24 and 40.

To find the average, we add them together and divide by 2

(24+40)/2=64/2=32

Now, we multiply 32 by the height, which is given as the length of 20.

32*20=640

the area of the trapezoid is 640 units squared

Hope this helps!

6 0

3 years ago

Mrs. Martini is 6 years more than 3 times as old as Tony. Eight years ago, she

zalisa [80]

Mrs Martini age is 42 years and Tony age is 12 years

Step-by-step explanation:

The given is:

Mrs. Martini is 6 years more than 3 times as old as Tony
Eight years ago, she was 2 years less than 9 times as old as he was then

Assume that Tony is x years old now

∵ Mrs. Martini is 6 years more than 3 times as old as Tony

∵ Tony is x years old

- Multiply the age of Tony by 3 and add 6 to the product

∴ The age of Mrs Martini = 3 x + 6

8 years ago

- Subtract 8 from the age of each one

Tony age = (x - 8)

Mrs Martini age = (3 x + 6) - 8 = 3 x + 6 - 8 = 3 x - 2

∵ Eight years ago, Mrs Martini was 2 years less than 9 times as old

as Tony was then

- Multiply Tony age by 9 and subtract 2 from the product

∵ Tony age from 8 years ago = x - 8

∵ Mrs Martini age from 8 years ago = 3 x - 2

∴ 9(x - 8) - 2 = 3 x - 2

- Simplify the left hand side

∴ 9 x - 72 - 2 = 3 x - 2

- Add like terms

∴ 9 x - 74 = 3 x - 2

- Subtract 3 x from both sides

∴ 6 x - 74 = -2

- Add 74 to both sides

∴ 6 x = 72

- Divide both sides by 6

∴ x = 12

∵ x represents the age of Tony

∴ Tony is 12 years old

∴ 3 x + 6 is the age of Mrs Martini

- Substitute x by 12

∵ 3(12) + 6 = 36 + 6 = 42

∴ Mrs Martini is 42 years old

Mrs Martini age is 42 years and Tony age is 12 years

Learn more:

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6 0

3 years ago