MATHEMATICS MIDDLE SCHOOL

Simplify
1) 3b + b + 6 =
2)n + 5n - 3c =
3) 12d - 2d + e =

Answers

Answer 1

Answer: 1. 4b plus 6
2. 6n minus 3c
3. 10d plus e

Answer 2

Answer:

Answer:

1) 4b +6

2) 6n - 3c

3) 10d +e

Step-by-step explanation:

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The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid? A. 108 in3 B. 36 in3 C. 72 in3 D. 144 in3

Answers

$a=6 \ in ,\ \ h= 12 \ in \n \nVolume = (1)/(3) B \cdot h \n \nB \ is \ the \ area \ of \ the \ base \nh \ is \ the \ height \n \n B =a^2 \n \nV =(1)/(3)\cdot a^2\cdot h =(1)/(3)\cdot 6^2 \cdot 12=36\cdot 4 = 144 \ in^3 \n \nAnswer : \ D. 144 in^3$

Simplifying Fractions

10/45 simplified? Thanks!
Also, 20 points c;

Answers

10/45 simplified is 2/9. Since both numbers are divisible by 5. Hope i helped you today!

10 ÷5 2
---- ----
45 ÷5 9

10/45 simplified is 2/9 because the number 5 can go into both the denominator.

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 2 software packages and 6 months of game play. Each software package costs $45. If their total cost is $271, what is the cost of one month of game play?

Answers

Answer:136

Step-by-step explanation:i multiplied 45 by 3 and got 135 and subtracted that from 271. hope this is right :)

The histograms show the test results from two different tests in Mrs. Lofton's class. How many students are in Mrs. Lofton's class?

Answers

Answer:

There are 28 students in Mrs. Lofton's class.

Step-by-step explanation:

Counting the green bars that is test 1:

$2+5+6+1=14$

Counting the orange bars that is test 2:

$2+3+5+4=14$

The total students are = $14+14=28$

Therefore, there are 28 students in Mrs. Lofton's class.

test 2=14
test 1=14
all togethere 28

sarah used 3/4 pound of blueberries to make 1/2 cup of jam. how many pounds of blueberries would she need to make a cup of jam? write your answer as an improper fraction.

Answers

Answer: She needed $1(1)/(2)\text{ pounds of blueberries}$ to make a cup of jam .

Step-by-step explanation:

Since we have given that

Sarah used $(3)/(4)$ pound of blueberries to make $(1)/(2)$ cup of jam.

As we need to find the number of pounds of blueberries she would need to make a cup of jam.

So, we will use "Unitary Method":

$\text{For }(1)/(2)\text{ cup of jam},\n\n\text{ she need }(3)/(4)\text{ pound of blueberries }\n\n\text{ For 1 cup of jam}.\n\n\text{She need }=(3)/(4)* 2=(3)/(2)=1(1)/(2)\text{ pounds of blueberries }$

Hence, She needed $1(1)/(2)\text{ pounds of blueberries}$ to make a cup of jam .

8. A recipe for 24 cookies calls for 6 tablespoons of sugar. If you make 36 cookies and use 10 tablespoons, will the cookies taste the same? Explain

Answers

No, because they wouldn't contain the same amount of sugar per cookie
for the first recipe - 24 cookies with 6 tablespoons
thats 6/24 so 0.25 tablespoons of sugar per cookie
for the second recipe - 36 cookies with 10 tablespoons
thats 10/36 so 0.276 tablespoons per cookie
the cookies in the second recipe would be slightly sweeter than the cookies in the first

Final answer:

Yes, the cookies will taste the same because the ratio of cookies to sugar remains the same. For 36 cookies, you would need 9 tablespoons of sugar.

Explanation:

Yes, the cookies will taste the same because the ratio of cookies to sugar remains the same. In the original recipe, the ratio of cookies to sugar is 24:6, or 4:1. When making 36 cookies, you can find the amount of sugar needed by setting up a proportion using the known ratio: 24/6 = 36/x. Solving for x, we get x = 9. So, for 36 cookies, you would need 9 tablespoons of sugar.

This means that using 10 tablespoons of sugar would result in slightly sweeter cookies compared to the original recipe, but the difference would likely be minimal and might not be noticeable.