MATHEMATICS MIDDLE SCHOOL

Rotate the figure 90 degrees clockwise. Then, mark the statements as true or false.

Answers

Answer 1

Answer:

Answer:

The first one is False

The second one is True

Answer 2

Answer: The second is true, first is false

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(02.01) Solve for x: 3 over 4 x + 5 over 8 = 4x x = __________________ Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. Answer for Blank 1:

Answers

Answer:

x = $(5)/(26)$

Step-by-step explanation:

Given equation:

$(3)/(4)x + (5)/(8) = 4x$

$(3(2)x + 5)/(8) = 4x$ ∵taking GCF 8

$(8 (6x + 5) )/(8)$ = 4x × 8

6x + 5 = 32x ⇒ 5 = 32x - 6x ⇒ 5 = 26x ⇒ x = $(5)/(26)$

What is the answer to 3(5x+1)+5(x+6)

Answers

3 ( 5 x + 1 ) + 5 (x + 6 )

3* 5 x + 3 *1 + 5*x + 5*6

15 x + 3 + 5 x + 30

15 x + 5x + 3+30

= 20 x + 33

hope this helps!.

You are using the distributive property. You want multiply both the 5x and the 1 by 3 to get 15x+3 and then you want to multiply both the x and the 6 by five to get 5x+30. You are left with 15x+3+5x+30. Add together your likes, so 15x and 5x and 3 and 30. Your answer would be 20x+33. The easiest way to do you your math for equations like this is as following:

3(5x+1)+5(x+6)
15x+3+5x+30
20x+33

Which expression is equivalent to 3.5x+1.5x+2-1/2

Answers

The most simplified version would be:
$5x+1.5$

In the first session 40 student attended.Of these 40 students 60% were girls. How many girls attended the first session of swimming lessons?

Answers

24 girls

60% is 0.6
40 x 0.6 = 24

10% of 40 is 4.

4 x 6 = 24

There were 24 girls.

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.What is the approximate volume of the tent?
Use 3.14 to approximate pi, and express your final answer to the nearest tenth.
______ft3

Answers

Here's the formula for the volume of a cone:

$V=(1)/(3)\pi\ r^2h$

Plug in 3.14 for $\pi$ .
Plug in 6 for the height $h$ .
Our radius is half of our diameter. $r=6$ .

$V\approx\frac13*3.14*6^2*6$

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...

$V\approx226.08$

Rounding to the nearest tenth...

$\boxed{V\approx226.1\ ft^3}$

Cone formula: 1/3( $\pi r^(2) h)$

Step 1(Fill in formula): 1/3((3.14)( $6^(2)$ )(6))
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³

The difference of two numbers is 14. Their sum is 46. What are the two numbers?

Answers

$+\left \{ {{x-y=14} \atop {x+y=46}} \right. \n 2x=60\n x=30\n x+y=46\n y=46-30\n y=16$

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