joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is thw width, in meters, of the rug?

Answers

Answer 1
Answer: The width pf the rug is 15 meters

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After the 30% discount was applied, Patricia paid $45.50 for the ring. What was the original price of the ring

Answers

45.50*.30 = 13.65
13.65+45.50 = 59.15 

A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?

Answers

The hummingbird will take 1 minute 13 seconds.

Let the time that will be taken by the hummingbird be represented by x

Note that 1 minute = 60 seconds

Based on the information given, the equation that'll be used in the question will be:

45/55 = 60/x

Cross multiply

(45 × x) = (60 × 55)

45x = 3300

x = 3300/45

x = 73.33 seconds

x = 1 minute 13 seconds

The hummingbird will take 1 minute 13 seconds.

Read related link on:

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Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

Jan's Age is 3 years less than twice Tritts age. The sum of their ages is 30. Find their ages.

Answers

Their ages are jan's age = 19 and tritts age be 11 yaers

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values.

Given:

Jan's Age is 3 years less than twice Tritts age.

sum of their ages is 30.

let tritts age be x

jan age= 2x -3

Now, sum of their ages = 30

x+ 2x-3 = 30

3x= 33

x=11

hence, jan's age = 19 and tritts age be 11 yaers

Learn more about algebra here:

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2x-3+x=30
3x-3=30
3x=33
Tritts age=x=11
Jans age=2x-3=2(11)-3=22-3=19

Tritt=11
Jan=19

Solve by elimination
-3x+2y=10
-2x-y=-5

Answers

First you need to get two similar terms to eliminate, I'll do y:
-3x + 2y = 10
-4x - 2y= -10
And then you minus
x = 20
Now you can substitute x in to one of the equations to find y:
-60 + 2y = 10
+ 60
2y = 70
÷ 2
y = 35
So your values are y = 35 and x = 20. Hope this helps!

How do you solve this rational equation
4/3(c+4) + 1 = 2c/c+4

Answers

4/3(c+4) + 1 = 2c/c+4 , where c is not -4 <=>
4 / [3(c + 4)] + 3( c + 4) /[ 3( c + 4)] = 6c / [3( c + 4)] <=>
4 + 3c + 12 = 6c <=>
16 = 3c <=>
c = 16 / 3.

It takes 1/8 tsp of baking soda to make 4 dozen cookies.How many teaspoons of baking soda does it take to make 1 dozen cookies?

Answers

Given:
1/8 tsp of baking soda to make 4 dozen cookies.

teaspoons of baking soda needed to make 1 dozen cookies.

1/8 tsps ÷ 4 dozen = 1/8 * 1/4 = 1*1 / 8*4 = 1/32 tsps

It takes 1/32 teaspoons of baking soda to make 1 dozen cookies.