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2 years ago

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Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben

1 answer:

Ainat [17]2 years ago

4 0

Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

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Suzanne can read 1 page in 3 minutes. how many pages can she read in 5 hours?

pychu [463]

If Suzanne can read 1 page in 3 minutes, that means that in ONE hour, she can read 20 pages.
1 page per 3 minute
60minutes : 3 = 20 pages
Now, multiply 20 pages by 5 hours.
20 x 5 = 100.

I hope it helps! (She's pretty slow at reading)

4 0

2 years ago

solong [7]

Ok let’s solve it

5(x-2)^2-20=0

first let’s foil (x-2)

5(x^2-4x+4) -20=0

now distribute the 5

5x^2 -20x +20 -20 = 0

combine like terms

5x^2-20x=0

take the gcf

5x(x-4)=0

x=0, 4

solutions are (4,0) and (2, -20) because the original vertex form a(x-h)^2+k

7 0

3 years ago

Which is the solution set to the inequality (4x-3)(2x-1)&gt=0?

Serjik [45]

(4x - 3)(2x - 1) ≥ 0

First, find the zeros:

4x - 3 = 0 2x - 1 = 0

x = $\frac{3}{4}$ x = $\frac{1}{2}$

Next, plot these points and choose test points on the outside and between the zeros:

←-------0------ $\frac{1}{2}$ ------ $\frac{5}{8}$ ------ $\frac{3}{4}$ ------1------→

Lastly, plug in the test points and look for a positive result (since it is greater than 0).

Test Point 0: [4(0) - 3][2(0) - 1] = ( - )( - ) = + THIS WORKS!

Test Point $\frac{5}{8}$ : [4( $\frac{5}{8}$ ) - 3][2( $\frac{5}{8}$ ) - 1] = ( - )( + ) = - <em>This does NOT work</em>

Test Point 1: [4(1) - 3][2(1) - 1] = ( + )( + ) = + THIS WORKS!

Answer: x ≤ $\frac{1}{2}$ or x ≥ $\frac{3}{4}$

Interval Notation: (-∞, $\frac{1}{2}$ ] U [ $\frac{3}{4}$ , ∞)

Graph: ←------ $\frac{1}{2}$ $\frac{3}{4}$ --------→

5 0

2 years ago

Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11

Gwar [14]

5✓11-12✓11-2✓11=-9✓11

8 0

3 years ago

Solve the following proportion for v. <br>8/5 = v/6 <br>Round your answer to the nearest tenth.

bekas [8.4K]

Answer:

$v=\frac{48}{5}=9\frac{3}{5} \\$

Step-by-step explanation:

$\frac{8}{5}=\frac{v}{6}$

Swap sides:

$\frac{v}{6}=\frac{8}{5}$

Multiply to both sides by 6:

$\frac{v}{6}\cdot6=\frac{8}{5}\cdot6$

Group like terms:

$\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6$

Simplify the fraction:

$v=\frac{8}{5}\cdot6$

Multiply the fractions

$v=\frac{8\cdot6}{5}$

Simplify the arithmetic:

$v=\frac{48}{5}$

4 0

2 years ago