MATHEMATICS MIDDLE SCHOOL

Please help!! A plane intersects this rectangular prism parallel to the prism’s base. Which two-dimensional figure is the cross section that results from the intersection of the plane and the prism?

(the answer choices are pictures)

Answers

Answer 1
Answer: answer is a rectangle

paralel and a rectantular prism

the rectangular prism is made up of many recatngles stacked on top of each other
by cutting paralell to the base, you get one of those recatneles

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Find the sum and express it in simplest form (5n^3+7n+2)+(-n^3-6n+5)

Answers

Answer:

 4n^3 +n +7

Step-by-step explanation:

(5n^3+7n+2)+(-n^3-6n+5)

I like to line them up vertically

 5n^3+7n+2

-n^3  -6n+5

-----------------------

 4n^3 +n +7

Answer:

\boxed{\bold{4n^3+n+7}}

Step By Step Explanation:

Remove Parenthesis: (a) = a

\bold{5n^3+7n+2-n^3-6n+5}

Group Like Terms

\bold{5n^3-n^3+7n-6n+2+5}

Combine Similar Elements: \bold{7n-6n=n}

\bold{5n^3-n^3+n+2+5}

Combine Similar Elements: \bold{5n^3-n^3=4n^3}

\bold{4n^3+n+2+5}

Add: \bold{2+5=7}

\bold{4n^3+n+7}

➤ \boxed{\bold{Mordancy}}

Solve the system if equations by substitution

Y=3x-13
3x+2y=19

Answers

\left \{ {{y=3x-13} \atop {3x+2y=19}} \right. \n\nSubstitution\n\n3x+2(3x-13)=19\n\n3x+6x-26=19\n\n9x-26=19\ \ \ |add\ 26\n\n9x=45\ \ \ | divide\ by\ 9\n\nx=5\ny=3x-13=3*5-13=15-13=2\n\n\nx=5\ny=2

The solution to the system of equations is x = 5 and y = 2.

Given that:

The system of equations:

y = 3x - 13                                   (1)

3x + 2y = 19                                 (2)

Step 1: Solve equation (1) for Y:

y = 3x - 13

Step 2: Substitute y from equation (1) into equation (2):

3x + 2(3x - 13) = 19

Step 3: Simplify the equation and solve for x:

3x + 6x - 26 = 19

9x - 26 = 19

9x = 19 + 26

9x = 45

x = 45/9

x = 5

Step 4: Substitute x = 5 into equation (1) to find Y:

y = 3(5) - 13

y = 15 - 13

y = 2

So, the values of x and y are 5 and 2, respectively.

Learn more about Equation here:

brainly.com/question/29657992

#SPJ6

Naomi's pedometer recorded 43,498 steps in one week. Her goal is 88,942 steps. Naomi estimate she has about 50,000 more steps to meet her goal. Is Naomi's estimate reasonable?

Answers

yes it is not because 40 thousand + 5 thousand = 90,000  which is close to her goal

How many groups of 12 are in 600

Answers

Do 600÷12= 50

The answer is 50 
600/12 = ?

600/12 = 50

Their are 50 groups of 12 in 600. 

Are the fractions 3/9,3/10,3/11, and3/12 arranged in order from least to greatest or from greatest to least?

Answers

Greatest to least 3/9= 1/3 and 3/12 is = to 1/4.
The fractions are arranged from greatest to least

Carol spent 3 hours on homework and Timothy spent 45 minutes on homework. What is the ration of the time Carol spent on homework to the time Timothy spent on homework * i got 8:1*a) 1:15
b) 1:4
c) 20:3
d) 4:1

Answers

it’s 4/1 because you want to get 3 hours converted into minutes, which is 180 minutes. Put 180/45 and simplify it, and the answer is 4/1
It’s d)4:1
First we have to convert hours into minutes so we have to multiply 3x60=180
Second we need to divide Carol’s spent over Timothy’s spent time. 180/45=4
This gives us the ratio of 4:1
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