MATHEMATICS MIDDLE SCHOOL

Factor 2x2 + 7x + 3.

Answers

Answer 1

Answer:

Explanation:

2x2+ 7x + 3

7x + 7

=7 (x + 1)

hope this helped :D

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Wenty-seven minus 3/2 of a number (x) is not more than 36. What is the number?
Variable c is 9 more than variable w. Variable c is also 3 less than variable w. Which pair of equations best models the relationship between c and w?A. c = w − 9 c = 4w + 3 B. c = w + 9 c = w − 3 C. w = c + 9 w = c − 3 D. w = c − 9 w = 4c + 3
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Joseph wants to estimate 1 3/7 * 5 4/3 To estimate, he simplifies the expression 1 1/2 * 6

Is Joseph’s estimate a close estimate, an underestimate, or an overestimate?

Answers

$1 (3)/(7) * 5 (4)/(3) = (10)/(7) * (19)/(3) = (190)/(21) \approx 9,0476..$
When he simplified the expression:
$1 (1)/(2) *6= (3)/(2) * (6)/(1) = (18)/(2) = 9$
$9,047 \approx 9,05 \approx 9$
I think Joseph's estimate a close estimate.

(15x2 – 24x + 9) ÷ (3x – 3)

Answers

$\bf 15x^2-24x+9/ 3x-3\implies \cfrac{15x^2-24x+9}{3x-3}\implies \cfrac{\underline{3}(5x^2-8x+3)}{\underline{3}(x-1)}\n\n\n\cfrac{5x^2-8x+3}{x-1}\implies \cfrac{(5x-3)\underline{(x-1)}}{\underline{(x-1)}}\implies 5x-3$

The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.

Answers

Answer:

2.99 cm²

Step-by-step explanation:

(The "..." at the end of the decimal means that number is repeating)

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 $(1)/(3)$ , also written as 7.33...) by 2; this equals 3 $(2)/(3\n)$ , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P $(1)/(2)$ - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

Seven hundred twelve thousandths in expanded form

Answers

(7×100)+(0.001×12) = 700.012

Hope It Helps :]

Which pair of ratios form a proportion? A.
3 : 4 and 4 : 5

B.
10 : 12 and 16 : 18

C.
7 : 10 and 10 : 14

D.
5 : 8 and 20 : 32

Answers

It would be D.5:8 and 20:32
Because 5 is to 20 [4x's] and 8 is to 32 [4x's]

D. if you rake the beginning ratio 5:8 and multiply the ratio by 4 you get 20:32. i believe this is the proper way to solve.

Emma's tea shop has caffeinated tea and decaffeinated tea. The tea shop swerved 30 caffeinated teas and 10 decaffeinated teas. What percentage of the teas were caffeinated?

Answers

Answer:

75% of the tea is caffeinated

Step-by-step explanation:

100 = 25 25 25 25

40 = 10 10 10 10 = 75 25

therefore if 40 = 100% then subtract 25% from 40 and you get 30 or 75%

Answer:

75% HAS CAFINEEEEE

Step-by-step explanation:

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