Reduce 22/30 to lowest terms and write the denominator in the blank.

Answers

Answer 1
Answer:

Answer:

11/15. the denominator is 15

Step-by-step explanation:

22/2=11

30/2=15

Hope this helps!

Answer 2
Answer:

Answer:

Step-by-step explanation:11/15


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574 is 70% of what number?

Answers

574=0.7*x
574/0.7=your answer
401.8
u get this by dividing 574 by 100 then times it by 70

3 pens cost $15. What will 30 pens cost?

Answers

Answer=$150

  3       30
___=_____
 15       x

cross multiply
3x=450
divide both sides by 3
x=$150
If 3 pens cost $15, then we can assume that one pen is $5. If we have 30 pens, multiply $5 by 30 to get a total of $150.

Which products result in a difference of squares or a perfect square trinomial? Check all that apply. (5x + 3)(5x – 3) (7x + 4)(7x + 4) (2x + 1)(x + 2) (4x – 6)(x + 8) (x – 9)(x – 9) (–3x – 6)(–3x + 6)

Answers

In this question, we have to find all the products which result in a difference of perfect squares .

The formula of the difference between squares is

(a-b)(a+b) = a^2-b^2

In the first option, we have

(5x+3)(5x-3)

Which is of the form of difference of two squares. And similarly , the last option is also in the form of difference of two squares .

And for perfect squares, we have same factor twice in b and e, so for that b and e are the correct options .

So out of the given options, correct options are a,b,e and f .

Answer:

ONE: A
TWO:B


FIVE: E
SIX: F

Find all the powers of 4 in the range of 1000

Answers

4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
4 to the 4th is 256

My cousin was interested in reactions that produce carbon dioxide gas. She wondered if there was some way to predict how much gas a reaction would produce. She did a series of seven experiments and measured the amount of carbon dioxide released by each one. Baking soda (spoons) Calcium chloride (spoons) Carbon dioxide (milliliters) 1 1 800 1 2 1600 1 3 1600 2 1 800 2 2 1600 2 3 2400 3 1 800 Based on my cousin’s experimental results,answer these questions. 1. How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride? 2. How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride? 3. My cousin wanted to produce exactly 2000 mL of carbon dioxide. How much baking soda and calcium chloride should she use?

Answers

Answer:

1.)2240

2.)1173.33334

3) soda = 3, calcium chloride = 2.625

Step-by-step explanation:

Baking soda (spoons)

1 - 1 - 1 - 2 - 2 -2 - 3

Calcium chloride (spoons)

1 - 2 - 3 - 1 - 2 - 3 - 1

Carbon dioxide (milliliters)

800 - 1600 - 1600 - 800 - 1600 - 2400 - 800

Modeling the above using a multiple regression technique:

ŷ = ax1 + bx2 + c

Where ŷ is the predicted value

x1 and x2 are the first and second predictor variable.

ŷ = 106.66667X1 + 640X2 - 0

1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?

ŷ = 106.66667(3)+ 640(3) - 0

320.00001 + 1920 - 0 = 2240

2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?

ŷ = 106.66667(2)+ 640(1.5) - 0

213.33334 + 960 + 0 = 1173.33334

C.) To produce 2000mL of gas

It could be achieves a a number of ways

ŷ = 106.66667X1 + 640X2 - 0

For instance if she opts to use 3 spoons of soda

2000 = 106.66667(3) + 640x2

2000 = 320.00001 + 640x2

2000 - 320 = 640x2

x2 = 1680/640

x2 = 2.625 spoons

Ms smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups without any students left over how many students will be I each group?

Answers

Ms Smith has 28 sixth graders and 35 seventh graders

she wants to break them down into groups with each group having the same number of students from each grade

for this we have to find the highest common factor of 28 and 35 to see by which both 28 and 35 are divisible by

factors of 28 and 35 are as follows

28 - 1,2,4,7,14,28

35 - 1,5,7,35

the highest common factor both numbers is 7

therefore Ms Smith can break them down into 7 groups

each group will have

28 / 7 = 4 sixth graders

35 / 7 = 5 seventh graders

so each group will have 4 sixth graders and 5 seventh graders

so in each group there will be 4 + 5 = 9 students


she will break them down into 7 groups

each group has 9 students

In this question, there is two class with a different number of students that need to be divided equally. Then you need to determine the number of greatest common factor (GCF) for both numbers. The number factor would be: 
28= 7 x 2 x 2
35= 7 x 5

The only common factor in both numbers is 7, so making 7 groups will be the answer.