MATHEMATICS MIDDLE SCHOOL

The following octagon is formed by removing four congruent right triangles from a rectangle. What is the area of each triangle? 2 cm2
4 cm2
8 cm2

Answers

Answer 1

Answer:

I hope this helps you

Area of the right triangle is

base×height /2

2×2/2

Answer 2

Answer: the area of each triangle is 2cm

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Brandon came from school and informed his mother that he had volunteered to make cookies for his entire grade level. He needs 3. cookies for each of the 96 students in seventh grade. Unfortunately he needs the cookies the very next day Brandon and his mother determined that they can fit 36 cookies on two cookie sheets. Is the number of cookies proportional to the number of cookies sheets used in baking?
Order the values from least to greatest pi,√11,3.4,3.1
I just want to know if 1/3*7/9=3 6/7 is correct?
Solve the equation 6(3x + 4) = 4x − 4.x equals negative ten seventhsx equals negative four seventhsx = −2x = 2

Given the function T(z) = z – 6, find T(–4).  A.10
B.–10
C.2
D.–2

What is the range of the function: {(1, 2); (2, 4); (3, 6); (4, 8)}?
A.{2, 4, 6, 8}
B.{1, 2, 3, 4}
C.{6, 8}
D.{1, 2, 3, 4, 6, 8}

What is the domain of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}?
A.{3, 5, 7, 9}
B.{1, 3, 5, 7}
C.{1, 9}
D.{1, 3, 5, 7, 9}

Suppose p varies directly as d, and p = 2 when d = 7. What is the value of d when p = 10?
A. d =20/7
B.d = 15
C. d =7/5
D.d = 35

The number of calories burned, C, varies directly with the time spent exercising, t. When Lila bikes for 3 hours, she burns 900 calories. Which of the following equations shows this direct linear variation?  A.C = 300t  B.C = t  C.C = 3t  D.C = 900t

Answers

$(1)\nT(z)=z-6\ \ \ \Rightarrow\ \ \ T(-4)=-4-6=-10\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(2)\nrange:\ \ \ Y=\{2;\ 4;\ 6;\ 8;\}\ \ \ \Rightarrow\ \ \ Ans.\ A.\n\n(3)\ndomain:\ \ \ D=\{1;\ 3;\ 5;\ 7\}\ \ \ \Rightarrow\ \ \ Ans.\ B.\n\n(4)\n (p)/(d) =constant\n\n(2)/(7) =(10)/(d) \ \ \ \Leftrightarrow\ \ \ 2d=7\cdot10\ \ \ \Leftrightarrow\ \ \ d= (7\cdot2\cdot5)/(2) =35\ \ \ \Rightarrow\ \ \ Ans.\ D.$

$(5)\n900\ calories\ \rightarrow\ 3\ hours\nx\ \rightarrow\ \ 1\ hour\n\nx= (900)/(3) \ calories=300\ calories\n\nC=300\cdot t\ \ \ \Rightarrow\ \ \ Ans. \ A.$

One wall on Zoe's bedroom is 5 feet wide and 8 feet tall.Zoe puts up a poster of her favorite athlete.the poster is 2 feet wide and 3 feet tall.How much of the wall is not covered by the poster

Answers

To find area you multiply legnth times width so 5x8=40 sq ft
Then 2x3=6 sq ft which is the area of the poster. Then 40 - 6 = 34sq ft.
Your answer is 34 sq ft

What is the answer to the equation? Explain how you would solve this problem. 2x - 8 = 50

Answers

The answer is 29. The answer is 29 because you add the 8 to 50. You get 58. Then divide 58 by 2 and you get 29.

Answer:

x=29

Step-by-step explanation:

2x - 8 = 50

Here we need the value of x. so first we will remove -8 by adding 8 on both side.

=>2x =50+8 [add 8 on both side]

=>2x=58

then we get 2x . so, we will divide both side by 2.

=>x=58/2

=>x=29

A fifth grade class painted pieces of cardboard for an art project. Each piece of cardboard had an area of 6.25 square inches. The students painted 200 pieces of cardboard each day.A. What is the total area of cardboard that they painted by the end of the 3rd day?
6.25x200=1250 1250 x3= 3750
B. At the end of the 3rd day students glued together all the pieces of the painted cardboard to form a large square mural and they cut the mural into 40 strips of equal sizes so they could move the mural. What is the area of each smaller strip of cardboard? Express the answer in decimal form.

Answers

i think that the answer is B

the distance around the lake is 0.75 mile.derek ran 0.8 of the distance on monday . how far did he run? the answer is 0.75 * 0.8 how much?Show your work.

Answers

Answer:

0.6 miles

Step-by-step explanation:

We are given that the distance around the lake is 0.75 miles

Derek ran on Monday=0.8 of the distance

We have to find that how far Derek run

0.8 of the distance= $0.8* 0.75$

0.8 of the distance=0.6 miles

Derek ran on Monday=0.6 miles

Hence, Derek run on Monday=0.6 miles

$0.75*0.8= (75)/(100) * (8)/(10) = (75*8)/(100*10) = (600)/(1000) = (6)/(10)=0.6$

Together, Preston and Horatio have 49 video games. Horatio has 11 more games than Preston. How many games does each person have ?

Answers

Answer:

Preston has 19 games and Horatio has 30 games

Step-by-step explanation:

This problem is solved by a system of equations. First, the variables are defined:

p: Preston video games

h: Horatio video games

It is known that between them they have 49 video games, that is to say that between them they add 49 games. So the first equation is p+h=49.

On the other hand, it is known that Horatio has 11 video games more than Preston. This means that h=p+11

So, now you have the system of equations. To solve it, there are several methods. In this case the substitution is used, which consists on isolate a variable in one of your equations and replacing on the other equation.

In this case, you have an isolated variable: h=p+11. By replacing it in p+h=49, you get: p+p+11=49

Now you have an equation with a variable, which can be solved:

2*p+11=49

2*p=49-11

2*p=38

$p=(38)/(2)$

p=19

This means that Preston has 19 video games.

Now you have to determinate how many video games have Horatio. For that you know that h=p+11, and you knwo the value of p. Simply replacing you get the value of h

h=p+11

h=19+11

h=30

This means that Horatio has 30 video games.

p + h = 49
h = p + 11
p + p + 11 = 49
2p = 38
Preston has 19 games
Horatio has 30

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33 is 50% of what number?

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