Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.

1.Explain how you know Elena made a mistake based on her solution.

2.Fix Elena’s inequality and explain what each part of the inequality means.

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

Answer:

$321562.50

Step-by-step explanation:

Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.

To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus

[tex]105000 = 60000(1+r)^{48}\\[/tex]

To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in

[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]

Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.

Our final value is then

[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)

1) Angle UWV

2) Angle VWU

Step-by-step explanation:

∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> ∆ XYZ

Answer:

∠ 1 = 128°

Step-by-step explanation:

∠6 = 7x + 3                                 [ vertically opposite angles ]

∠6 = 4x + 24                               [ corresponding angles ]

7x + 3 = 4x + 24

7x - 4x = 24 - 3

3x = 21

x = 7

∠1 + ( 4x + 24 )= 180°                           [ straight line angles ]

∠1 + 4 ( 7 ) + 24 = 180°                      [ Substituting x = 7 ]

∠ 1 + 28 + 24 = 180°

∠ 1 = 180 - 24 - 28

∠ 1 = 128°

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Answer: -7y = 21

explanation:

x+y=2;3x−4y=27

Step: Solve x+y=2 for x:

x+y+−y=2+−y (Add -y to both sides)

x=−y+2

Step: Substitute −y+2 for x in 3x−4y=27:

3x−4y=27

3(−y+2)−4y=27

−7y+6=27 (Simplify both sides of the equation)

−7y+6+−6=27+−6 (Add -6 to both sides)

−7y=21 (answer)

first option

manipulate line 1 to

x = 2 - y

then substitute x in line to for the righthand side above

then solve towards y.

Answer:

either 0 or 8, see the step by step for rationale pending the actual question

Step-by-step explanation:

two parallel lines will never intersect.

if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.

if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).

since there are two parallel lines that intersection happens twice. so 8

Answer:

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Step-by-step explanation:

Given:

Sin (A + B - C)

Find;

Expansion of given expression

Computation:

Sin (A + B - C)

Sin [(A + B) - C]

Sin(A + B)CosC - Cos(A + B)SinC

[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC

SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

9 on the top as well so 9 x 2 18 3x2 6 3

Answer:

fg

ur welcome and im out

Step-by-step explanation:

Answer:

3(y+7)=2

Step-by-step explanation:

Answer:

c > 20

make a number line that starts with the number 16 and ends with 22.

on the number 20 circle it (don't fill in the circle).

then draw an arrow to the right on top of the circle that you circled.

Step-by-step explanation:

Answer:

[tex]\text{A. }1\leq x \leq6[/tex]

Step-by-step explanation:

A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]

Answer:

185×30÷100=55.5

HERES YOUR answer

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Example look at the pic please 7,225 cm = ___ m

Meters are larger than centimeters, so you expect your answer to be less than 7,225.

Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.

Cancel similar units, multiply, and simplify.

7,225 centimeters = meters

Answer:

Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.

Answer:

2

Step-by-step explanation:

When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.

If this helps please mark as brainliest

Answer:

3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Hope this is helpful

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you just plug in the answers, so lets take (1,6) and plug it into y = 6x

You could just solve it so it'd be like

6 = 6(1) and

12 = 6(2)

Answer:

Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?

Step-by-step explanation:

2,500,000 $ worth of merchandise

Answer: 340

Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.

Answer:

- 8x + 17

Step-by-step explanation:

7(2 - x) - (x - 3)​

14 - 7x - x + 3

- 8x + 14 + 3

- 8x + 17

Answer:

b

Step-by-step explanation:

Answer:

b......................

Step-by-step explanation:

.

Answer:

8

Step-by-step explanation:

I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!

Answer:

m∠IGJ = 42°

Step-by-step explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

Answer: The answer be 87 for both answer's

Step-by-step explanation:

because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)