Three times the sum of a number and 4 is twice a number minus 8.

Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of he

bulgar [2K]

Complete Question:

To create a bulletin board, Maryann is planning to stretch fabric from burlap sacks over cardstock. She collects 6 kg of burlap sacks. The area density of the burlap is 0.4 kg/m².

Maryann's friends loved her bulletin board , and 4 of them asked her to make one for their homes. She offered to make each of her friends a replica of her bulletin board that measures 2 meters by 3 meters . How many kilograms of burlap should Maryann collect to complete the bulletin boards for her friends?

Answer:

To complete the bulletin boards for her friends, Maryanne should collect 6 kg of burlap more

Step-by-step explanation:

Mass of burlap sacks that Maryann collects = 6 kg

Area density of burlap = 0.4 kg/m²

Area Density = Mass / Area........(1)

The Area of bulletin board that can be made with the 6 kg of burlap sand can be calculated by using equation (1)

0.4 = 6 / Area

Area = 6/0.4

Area of bulletin board that can be made from 6 kg= 15 m² of bulletin board

The area of bulletin board that Maryann made for herself = 2 * 3 = 6m²

To make similar bulletin boards for her four friends, the total area of bulletin board made for her 4 friends = 6 * 4 = 24m²

To calculate the mass of burlap required to make a 24m² bulletin board, use equation (1)

0.4 = Mass / 24

Mass = 0.4 * 24

Mass = 9.6 kg

The mass of burlap used to make Maryann's bulletin board alone:

0.4 = Mass/6

Mass = 2.4 kg

Out of the 6kg that she got, she has used 2.4 kg for herself

The remaining mass of burlap = 6 - 2.4 = 3.6 kg

Therefore, to complete the bulletin board for her friend, she should collect (9.6 - 3.6) = 6 kg of bulletin more

5 0

3 years ago

Re-solve please.<br><br> 2 5/6 + (-1 4/12) =

elena-s [515]

Answer:

1.5 as decimal, 1 1/2 as a fraction

Step-by-step explanation:

1. convert 2 5/6 & (-1 4/12) to a improper fraction.

17/6 and -16/12

2. multiply 17/6 by 2 to match -16/12's denominator

17/6 * 2 = 34/12

We now have

34/12 + -16/12

A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.

We have:

$\frac{34}{12}-\frac{16}{12}$

Now solve. 34-16 = 18

our answer is 18/12

6 0

2 years ago

Read 2 more answers

Write the vertex form of the equation of the parabola that has a vertex of (-6,-5) and passes through the point (-8,6)

Anastaziya [24]

Answer:

Step-by-step explanation:

Find the parabola through ( − 8 , 6 ) with vertex ( − 6 , -5 ) .

Standard Form: y = − 11 /4x ²− 44 x − 170

Vertex Form: y = − 11 /4 ( x + 8 ) 2 + 6

Download docx

7 0

3 years ago

A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills % of the female bees and % of the male bees.

Paha777 [63]

Complete Question

A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills 25% of the female bees and 14% of the male bees. After the disease hits the colony, the beekeeper decides to sell LaTeX: \frac{1}{2} 1 /2 of the remaining female bees to a friend.

How many total bees are left in the beekeeper’s colony after the disease and sale?

Answer:

24977 bees

Step-by-step explanation:

From the above question:

Number of female bees = 65,000

Number of male bees = 700

A disease kills 25% of the female bees and 14% of the male bees.

Number of female bees killed = 25% × 65,000

= 16,250 bees

Amount of female bees left = 65,000 - 16,250

= 48750 bees

Number of male bees killed = 14% × 700

= 98

Amount of male bees left = 700 - 98

= 602 bees

After the disease hits the colony, the beekeeper decides to sell LaTeX: \frac{1}{2} 1 /2 of the remaining female bees to a friend.

Hence:

1/2 × 48750 bees

= 24375 bees

Total bees are left in the beekeeper’s colony after the disease and sale is calculated as:

24375 female bees + 602 male bees

= 24977 bees

4 0

3 years ago

Ben plans some turf to cover his triangular lawn which is 4.8 yards high. Its area measures 40.2 square yards. How much does the

Pachacha [2.7K]

16.75 square yards because area of a triangle is half the base times the height. 40.2÷4.8 is 8.375. Since that is half the base, multiply by two. 8.375×2 is 16.75. Hope that helps! :D

3 0

3 years ago