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3 years ago

Irene made a mistake when she solved this inequality:

Mathematics

1 answer:

just olya [345]3 years ago

3 0

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

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1/2 of Pete's class brought in valentines. 3/4 of the kids who brought in valentines also brought on candy. If there are 24 stud

s344n2d4d5 [400]

24÷2 (because 1/2 is equivalent to 2) =12 12÷ 4 (because 3/4 is equivalent to 4) = 3. 3 students brought in valentine's and candy

4 0

3 years ago

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Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many time

Vitek1552 [10]

Answer:

400

Step-by-step explanation:

first work out the radius of priya's circle with the equation a = $\pi r^{2}$

$25 = \pi r^{2}$

$\frac{25}{\pi } = r^{2}$

$r = \sqrt{\frac{25}{\pi } }$

we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x $\sqrt{\frac{25}{\pi } }$

this means that if the diameter of dan's circle is 4 times bigger it must be

8x $\sqrt{\frac{25}{\pi } }$

to find the radius of dan's circle we divide the diameter by to 2 to give

4x $\sqrt{\frac{25}{\pi } }$

then use the a= $\pi r^{2}$ equation again

$a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi$

which equals 400

hope that helped

6 0

3 years ago

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is-3

sasho [114]

A. y= 2x - 3 and y= -2x - 3

4 0

3 years ago

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6. All angles in the figure below are right angles. What is the area of the figure? (4 point)

jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the diagram"

All the angles of the figure are right angles

From the attached figure: we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

- The dimensions of the cutting part are 3 units and

[9 - (2 + 4) = 9 - 6 = 3 units]

∴ The cutting part is a square

∵ Area any square = S², where S is the length of the side of the square

∵ S = 3 units

∴ The area of the cutting part = 3² = 9 units²

∵ Area of the figure = area rectangle - area square

∵ Area the rectangle = 45 units²

∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

5 0

3 years ago

The length, with, and height of a rectangular prism can be represented by the expressions (x+3),(x+7),and(x-1). Write an express

joja [24]

Answer: 6x² + 36x + 22

Step-by-step explanation:2 faces (x + 3) by (x + 7), area of both these faces 2(x+3)*(x + 7)

2 faces (x + 3) by (x - 1), area of both these faces 2(x+3)*(x - 1)

2 faces (x -1 ) by (x + 7), area of both these faces 2(x-1)*(x + 7)

Whole surface area is

2(x+3)*(x + 7) + 2(x+3)*(x - 1) + 2(x-1)*(x + 7) =

=2(x² + 3x +7x +21) + 2(x² +3x -x - 3) + 2(x² - x +7x -7)=

=2x² + 20x +42 + 2x² + 4x - 6 + 2x² + 12x -14 =

= 6x² + 36x + 22

5 0

2 years ago

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