MATHEMATICS HIGH SCHOOL

Emily is making bows using ribbon. She has two pieces of ribbon to use. One is 23 yards long. The other is 4 1/4 yards long. She need 1 5/6 yards of ribbon to make each bow. What is the greatest number of bows emily can make? Show your work

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

In total, Emily has $23+4(1)/(4)=27(1)/(4)=(109)/(4)$ yards of ribbon.

Each bow requires $1(5)/(6)=(11)/(6)$ yards of ribbon

To figure out, we divide total amount of ribbon by amount each bow needs:

Number of bows = $((109)/(4))/((11)/(6))=14.86$

So the maximum number of "complete" bows Emily can make is 14

Answer 2

Answer:

Final answer:

Emily has a total of 27 1/4 yards of ribbon. Each bow requires 1 5/6 yards, therefore Emily can make 14 bows with the ribbon she has.

Explanation:

To solve this problem, we first need to determine the total amount of ribbon that Emily has. She has one piece that is 23 yards long and another that is 4 1/4 yards long. To find the total, we add these two lengths together:

23 yards + 4 1/4 yards = 27 1/4 yards

Each bow Emily makes needs 1 5/6 yards of ribbon. To find out how many bows she can make, we divide the total amount of ribbon by the amount needed for each bow:

27 1/4 yards ÷ 1 5/6 yards = 14.6(around)

Since Emily cannot make a fraction of a bow, we round down to the nearest whole number. So, Emily can make 14 bows.

Learn more about Division here:

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A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold with a square base with edge length of 4 inches and height of 7 inches. The other friend bought a cone with a radius of 2.5 inches and the height of six inches. What is the volume of these three objects?

Answers

Answer:

cylinder — 90π in³
pyramid — 37 1/3 in³
cone — 12.5π in³

Step-by-step explanation:

The volume of a cylinder is given by ...

V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

A = s²

The area of a circle of radius r is ...

A = πr²

___

Using these formulas, the volumes of these objects are ...

cylinder: (9π in²)(10 in) = 90π in³

square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³

cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid

Answer:

12.5

Step-by-step explanation:

How is the graph of y = -4x^2– 5 different from the graph of y = -4x^2?A. It is shifted 5 unit(s) right.
B. It is shifted 5 unit(s) left.
C. It is shifted 5 unit(s) up.
D. It is shifted 5 unit(s) down.

Answers

to move the graph c units up, add c to whole funciton
to move graph c units right, minus c from every x

from
f(x)=-4x^2-5 to
f(x)=-4x^2

minused 5 from whole function
basicaly it is 5 units down from -4x^2

D

What is the square root of 14x15

Answers

$√(14\cdot15)=√(2\cdot7\cdot3\cdot5)=\n\vdots\ Any\ number\ does\ not\ repe at\ \vdots\n\n=√(210)\n\n\n√(210)\approx14.4914$

well I know 14 times 15 = 210 but I cant tell what is a square root since I am just in 4th grade.

The area of triangle AED is 20 square meters. Find the area of parallelogram ABCD.20 square meters
52 square meters
15 square meters
104 square meters
diagram below.

Answers

I found the accompanying image of this problem. The triangle is a right triangle.

area of a right triangle = ab/2 where: a and b are the legs
based on the image: a = 5 m
20 square meters = (5m * b) /2
20 sq. m * 2 = 5m * b
40 sq. m / 5m = b
8 m = b

So the image consists of 2 right triangles with a square in the middle.

Area of a square = a² = (8m)² = 64m²

Total area of the parallelogram = 2 right triangle * 20m² + 1 square *64m²
Total Area = 40m² + 64m²
Total area = 104m² ⇒ 104 square meters.

Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3?x3 − 2x2 − 3x + 6
x3 + 2x2 − 3x − 6
x3 − 3x2 − 5x + 15
x3 + 3x2 − 5x − 15

Answers

The polynomial with those roots would be:

y = (x + √5)(x - √5)(x - 3)
▬▬▬▬▬▬▬▬▬▬▬ multiply this out to get
y = (x² - 5)(x - 3)

y = x³ - 3x² - 5x +15

Answer:

The correct answer is the first one

Step-by-step explanation:

x3 − 2x2 − 3x +

Use the quadratic equation and you will get a polynomial with roots negative square root of 5, square root of 5, and 3

6x2y + 4xy2 − 2y3 + 6) + (x2y + 3y3 − 5)