If x2 = 40, what is the value of x?

Answers

Answer 1

Answer: if you mean 2x=40 x=20
but if you mean x^2=40 i think its x=80

Answer 2

Answer: You have to divided by 2 on both sides and you get x=20. Checking your answer you multiply 20 by 2 which is 40.

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On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 7 snack-size bags ofchips. Your total bill (before tax) was $23.40. If a bottle of water costs twice as much as a bag of chips, and a gallon of
milk costs $2.20 more than a bottle of water, how much does each item cost?

Answers

Answer:

bottle of water: $1.60

gallon of milk: $3.80

bag of chips: $0.80

Step-by-step explanation:

First, the amount of groceries bought can be represented as:

$3m + 4w + 7c = \$ 23.40$

where $m$ represents the cost of one gallon of milk, $w$ represents the cost of a bottle of water, $c$ represents the cost of one bag of chips.

We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.

"a bottle of water costs twice as much as a bag of chips"

$w = 2c$ → $c = (w)/(2)$

"milk costs $2.20 more than a bottle of water"

$m = w + \$ 2.20$

Now, substitute these into the first equation and solve for w in terms of c.

$3(w + 2.20) + 4w + 7\cdot (w)/(2) = 23.40$

$3w + 6.60 + 4w + (7)/(2) \, w = 23.40$

$(21)/(2) \, w = 16.80$

$21w = 33.60$

$w = 1.60$

So, one bottle of water costs $1.60.

To solve for the other items, plug the solved value into the 2-variable equations.

$m = 1.60 + 2.20$

$m = 3.80$

So, one gallon of milk costs $3.80.

$c = (1.60)/(2)$

$c = 0.80$

So, one bag of chips costs $0.80.

Catherine's employer matches 25% of her 401(k) contributions — up to $2000. Catherine's salary is $50,000, and last year she contributed $10,000 to her 401(k) plan. What was her employer's contribution to the 401(k)?

Answers

We have been given that Catherine's employer matches 25% of her 401(k) contributions or a maximum of $2000. Further we are given that Catherine's salary is $50,000 and she contributed $10,000 to her 401(k) plan.

Let the contribution form her employer be $x. We are given that her employer matches 25% of Catherine's contribution under 401(k) plan. Therefore, contribution made by employer would be either 25% of 10,000 or 2000, whichever is lesser.

Let us find 25% of 10,000.

$25\% \text{ of 10000 } = 10,000 * (25)/(100) = \$2500$

Since 25% of 10,000 is more than 2000, therefore, Catherine's employer would make a contribution of $2000.

25% of $10,000 is $2,500

But because they only match "up to $2,000," her employers contribution was $2,000

What is the y intercept of the line -9x+3y=18

Answers

y = 6

hope this helps

Answer: (0, 6)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Question is −9x + 3y = 18

Our first step would be is to find y which will be done by 3y = 18.

Part 1

Step 1: Enter y equation.

3y = 18

Step 2:Simplify.

y = 6

Now that we have our y, we need to find our X. We can do this by plugging in y, which is 6 into the equation to find X.

Part 2

Step 1: Enter the X equation by plugging in y.

−9x + 3(6) + 18

Step 2:Simplify.

−9x + 18 = 18

Step 3:Simplify.

−9x = 18 − 18

Step 4:Simplify.

$(-9x)/(-9) = (0)/(-9)$

Step 5: Simplify.

x = 0

Because 0 is our X coordinate and 6 is our Y coordinate, we will need to have the X and Y coordinates in parentheses, So (x, y) would be (0, 6). And there you go we have the answer. Good luck!

~I hope I helped you! :)~

Identify the independent and dependent variables in the following hypothesis: "People who exercise regularly are more likely to have normal or below normal weight." Exercise is the ________ variable and weight is the _________ variable

Answers

Exercise will be the independent variable while weight will be the dependent variable.

Nowadays most of us do exercise in order to burn extra calories, that in turn, reduce the weight of a person. Some exercises even increase the weight of a person.

What if we do not do the exercise?

Our weight will increase or will remain constant. In a few cases, it will decrease the weight.

So it is clear that weight depends on many factors. one of those factors is exercise.

So weight is the dependent variable while exercise will be an independent variable.

Therefore, exercise will be the independent variable while weight will be the dependent variable.

To get more about variables refer to the link,

brainly.com/question/1429012

Answer:

Independent

dependent

Step-by-step explanation:

The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.

Smplify the following algebraic expression: 6(2y + 8) - 2(3y - 2)

Answers

Answer:

6y +52

Step-by-step explanation:

6(2y + 8) - 2(3y - 2)

Distribute

12y + 48 - 6y +4

Combine like terms

6y +52

Sophia earned $240 at her brother's store. If she worked for 8 days and earned the same amount of money each day, how much did she earn per day?

Answers

Answer:

$30

Step-by-step explanation:

$240 divided by 8

She earns $30 each day

8x=240

Where 8 is the amount of days, 240 is the total pay, and x represents the pay per day.

8x=240
—- ——
8 8

In this step, you are dividing both sides by 8 to isolate the x

x=30

Therefore, she was paid $30 each day. You can check this by inserting back into your equation.

8(30)=240
240=240

Hope this helps!

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