Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?

Margot has 21 1/2 pounds of flour 8 pounds of butter and 18 1/2 ponds of sugar to make shortbread cookies if she makes 12 batche

adell [148]

Answer:

<em>4 pounds of ingredients are used in each batch.</em>

Step-by-step explanation:

Amount of flour = $21\frac{1}{2}pounds = \frac{43}{2}pounds$

Amount of butter = 8 pounds

Amount of sugar = $18\frac{1}{2}pounds= \frac{37}{2} pounds$

So, the <u>total amount of all ingredients</u> will be: $(\frac{43}{2}+\frac{37}{2}+8)pounds = (\frac{43+37+16}{2}) pounds= \frac{96}{2} pounds = 48 pounds$

Given that, she makes 12 batches of cookies using all the ingredients.

Thus, the amount of ingredients used in each batch $=\frac{48}{12} pounds = 4 pounds$

5 0

3 years ago

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

Valentin [98]

Answer:

Part A: 7n + 30= -5 and 8n + 40= 16

Part B: 7(8) + 30= 86 and 8(8) + 40= 104

Part C: Company A saves you 12.

Step-by-step explanation:

Company A: 7n + 30

Company B: 8n + 40

7n + 30= -5 8n + 40= 16

7(8) +30= 86 8(8) +40= 104

7(2) + 30= 44 8(2) + 40= 56

56 - 44= 12

7 0

4 years ago

California's highest point, Mt. Whitney, stands 14,505 ft. above sea level. California's lowest point, Death Valley, is 282 ft.

Ainat [17]

Answer:

Difference is 14,787 ft

Step-by-step explanation:

Mt. Whitney = 14,505 ft above sea level

sea level = 0 ft

Death Valley = below sea leve

14505 - (-282) = 14787 ft

4 0

3 years ago

How many integers between 100 and 1000 have both 15 and 18 as factors?

Zanzabum

The numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

<h3>What is an integer?</h3>

it is defined as the whole number it can be a negative whole number or a positive whole number for an example: 2, 4, 1, -8, 0, etc.

To find the how many integers between 100 and 1000 have both 15 and 18 as factors.

We must calculate the LCM of 15 and 18

The LCM for 15 and 18 is 90

Now the 90's multiple:

90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 1080

These numbers are factors of 15 and 18 also.

The number which lies between 100 and 1000 are:

180, 270, 360, 450, 540, 630, 720, 810, 900

Thus, the numbers 180, 270, 360, 450, 540, 630, 720, 810, and 900 are the integers between 100 and 1000 that have both 15 and 18 as a factor.

Learn more about the integers here:

here:brainly.com/question/15276410

#SPJ1

4 0

3 years ago

Study the Proof: Give the reasons for the missing reason. List the number and then state the reason.

joja [24]

1) Given
2) Adding segments AB and BC together gives AC (Addition postulate, not too sure about the terminology)
3) Segment Addition postulate
4) Segment Addition postulate(Knowing that AC=BD, the distance between BC and CD add up to BD, shown in #3. AB and BC add together to give AC)
5) Subtraction property of Equality

Hope I helped :)

6 0

4 years ago