HELP PLEASE WITH 1 AND 21. Simplify the following expression
2.given the following equation solve for a.
(Assume a,b and c are positive real numbers)

Answers

Answer 1

Answer: 1:option(c)
2:option(c) again

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Remy has $150 to spend on party supplies. She spends $75.50 on decorations and various other supplies. She spent the remaining money to order invitations. If she invited 20 people to her party, how much was the cost to print each invitation?

Answers

Answer:

the cost to price of each invitation is $3.725

Step-by-step explanation:

Given that

On party supplies she incurred $150

For decorations and various other supplies she incurred $75.50

The remaining amount i.e.

= $150 - $75.50

= $74.50

This amount would be incurred for the invitations

Now she invited 20 people

SO the cost to price of each invitation is

= $74.50 ÷ 20 people

= $3.725

Hence, the cost to price of each invitation is $3.725

Marty's cat weighs 10.4 pounds. this is 24.4 pounds less than the weight of marty's dog. how much does marty's dog weigh?

Answers

I hope this helps you

dogs-24,4=10,4

dog=34,8

Sketch the rectangles and your tiling. Write the Dimensions and the units you counted in the blanks. Then, use multiplication to confirm the area. Show your work.

Answers

Answer:

The area of the rectangle is $12units^(2)$

Step-by-step explanation:

The sketch is in the attachement.

long: $4-units$

wide: $3-units$

The rectangle has 4 units long and 3 units wide

area of rectangle is the product of long and wide side.

$Area=l*w\nArea=4units*3units\nArea=12units^(2)$

Answer:

Step-by-step explanation:

Below are the dimensions of the rectangle and the crossed portions are unwanted regions.

Rectangle A:

Length, l = 3 units

Width, b = 2 units

Area of a rectangle = length × width

= 3 × 2

= 6 units^2

Rectangle B:

Length, l = 3 units

Width, b = 2 + 1/2 units

= 5/2 units

Area of a rectangle = length × width

= 3 × 5/2

= 15/2 units^2

Rectangle C:

Length, l = 5 units

Width, b = 1 + 1/2 units

= 3/2 units

Area of a rectangle = length × width

= 5 × 3/2

= 15/2 units^2

Rectangle D:

Length, l = 2 units

Width, b = 1 + 3/4 units

= 7/4 units

Area of a rectangle = length × width

= 2 × 7/4

= 7/2 units^2

Rectangle E:

Length, l = 5 units

Width, b = 3/4 units

= 3/4units

Area of a rectangle = length × width

= 5 × 3/4

= 15/4 units^2

Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2

Answers

Answer:

Option D

Step-by-step explanation:

Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)

Measure of AB = 7 - 1 = 6 units

Measure of BC = 7 - 3 = 4 units

Measure of CD = 7 - 4 = 3 units

From the figure attached,

Area of the trapezoid = $(1)/(2)(AB+CD)(BC)$ [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]

= $(1)/(2)(6+3)(4)$

= 18 square units

Therefore, Option D will be the correct option.

Henry ran 1 5/8 miles and 9/10 miles how many miles did he run

Answers

Answer:

Step-by-step explanation:

Here we have the mixed numbers 1 5/8 and 9/10 and must sum them up to find the total number of miles Henry ran.

The LCD is 40: Note that 40 is evenly divisible by both 8 and 10.

We convert 1 5/8 into the improper fraction 13/8.

Then we rewrite 13/8 as 65/40 and 9/10 as 36/40; now both quantities have the denominator 40.

Adding 65/40 and 36/40 yields 101/40 miles total, or 2.525 miles.

Mrs. Konings likes to eat Nerds (the candy, not her people). There are 1,000 Nerds in the box. The amount of Nerds left in the box decreases by a third each time she dumps out a portion. Let x represent the number of portions Mrs. Konings has taken and y represent the number of Nerds left in the box. Write an equation that represents the solution.