Jon has -8 dollars in his account then adds 12 dollars, how much does he have now?


What does zero represent in your story problem?

Answer:

x+y=20

4x+8y=100

x=-2y+25

x=-y+20

-2y+25=-y+20

-y=-5

y=5

x=15

There are 15 true/false questions and 5 multiple choice questions

To write a quadratic equation from a parabola and a chart, you can use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. Substitute the coordinates of two points on the parabola into the equation and solve for the unknown variables. Once you have the values, substitute them back into the equation to obtain the final quadratic equation.

To write a quadratic equation from a parabola and a chart, you will need to use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. In this form, (h,k) represents the coordinates of the vertex of the parabola.

The equation can be determined from the chart by finding two points on the parabola and substituting their coordinates into the equation.

Here are the step-by-step instructions:

store 1 has 12 for 3.30

3.30/12 = 0.275 each

 Store 2 has 15 for 3.50

3.50/15 = 0.233 each

 Store 2 has the better deal

Answer:

store 2

Step-by-step explanation:

Answer:

0.29

Step-by-step explanation:

Final answer:

To find the unit price of tangerines Jin bought, divide the total cost of $3.48 by 12. This gives a unit price of $0.29 per tangerine.

Explanation:

To find the unit price of the tangerines that Jin purchased, you need to divide the total cost by the number of tangerines.

Jin paid $3.48 for a bag of 12 tangerines. Therefore, to calculate the price per tangerine, use the following equation:

Unit Price = Total Cost / Number of Units

Unit Price = $3.48 / 12 tangerines

Unit Price = $0.29 per tangerine

If necessary to round to the nearest cent, the unit price remains $0.29 since it is already at the cent level.

She needs 33 cups of water for 11 cups of macaroni.

Unitary method is a technique for first determining the value of a single unit and then deriving the values of any given unit from it.

According to the given question Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water.

∴ For 1 cup of macaroni she needs 9/3 cups of water which is equal to 3 cups.

So, For 11 cups of macaroni she needs (11×3) = 33 cups of water.

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Answer:

ST= 6 unit and SU = 12 unit

Step-by-step explanation:

Here, S, T, and U are all on the same line,

Also, T is between S and U,

Such that ST = TU

Here, ST = x+3 and TU = 4x-6,

⇒ x + 3 = 4x - 6

Subtracting 3 on both sides,

⇒ x = 4x - 9

Subtracting 4x on both sides,

⇒ -3x = -9

Divide both sides by -3,

⇒ x = 3

Hence, ST = 3 + 3 = 6,

And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12

This situation is described by the image below, where we can see that:

Points S, T, and U are colinear points.

Point T is the midpoint of the segment SU.

This means that:

ST = TU

We also know that:

ST = x + 3

TU = 4x - 6

Then we can write:

ST = x + 3 = 4x - 6 = TU

x + 3 = 4x - 6

3 + 6 = 4x - x

9 = 3x

9/3 = x = 3

Now that we know the value of x we can replace it in the equations of ST and TU

ST = x + 3 = 3 + 3 = 6

TU = 4x - 6 = 4×3 - 6 = 6

And T is a point between S and U, this means that:

SU = ST + TU = 6 + 6 = 12

SU = 12

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Answer:

The midpoint of HK is (-4, 1)

Step-by-step explanation:

We are given two coordinates H(-1, 2) and K(-7, -4)

We need to find the midpoint of HK.

We have formula to find the midpoint.

[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} }[/tex]

Here [tex]x_1 = -1, y_1 = 2, x_2 = -7 and y_2 = -4[/tex]

Now plug in these values in the above formula, we get

[tex](\frac{-1 + (-7)}{2} , \frac{2 +(-4)}{2} )[/tex]

[tex](\frac{-8}{2}, \frac{-2}{2}  ) =  (-4, -1)[/tex]

So, the midpoint of HK is (-4, 1)

The equation to calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans is Total price = 1.6t + 36 + j/2.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Tank tops are on clearance for 70% off.

Let t be the original price.

Sale price of tank top = t - 20% of t = t - 0.2t = 0.8t

Sales price for 2 tank tops = 1.6t

Sale price for a T shirt = 12 if you buy 3 or more T shirts.

Sales price for 3 T shirts = 3 × 12 = 36

Let j be the original price of a jean.

Sale price = j/2

Equation to find the total price is,

Total price = 1.6t + 36 + j/2

Hence the required equation is Total price = 1.6t + 36 + j/2

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Final answer:

To calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans with given discounts, use the equation C = 0.60t + 36.00 + 0.5j, where t is the original price of a tank top and j is the original price of jeans.

Explanation:

The question involves calculating the total cost of purchasing 2 tank tops, 3 T-shirts, and 1 pair of jeans, with specified discounts, using the original prices of a tank top (t) and a pair of jeans (j) as variables. To compute this, we will establish an equation based on the given discounts.

For tank tops at 70% off, each tank top costs 0.30t since they are 30% of the original price. Buying 2 means spending 2(0.30t) = 0.60t.

For T-shirts, the sale offers them at $12.00 each when buying 3 or more. Thus, the total for 3 T-shirts is 3($12.00) = $36.00.

For jeans at half off, the cost of 1 pair is 0.5j, representing 50% of the original price.

Combining these, the equation for the total cost (C) is: C = 0.60t + 36.00 + 0.5j.

Answer:

c

Step-by-step explanation:

102 people purchased a car from Force Motor Company

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The number of people who purchased a new car from Force Motor Company is 170% of the number of people who purchased a new car from Ampere Motors.

If 60 people purchased a car from Ampere Motors, then we need to find number of people who purchased a car from Force Motor Company.

We will find it by

170%×60

170/100×60

1.7×60

102

Hence 102 people purchased a car from Force Motor Company

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To find the height of a sail shaped as a right triangle, utilize the area formula A = (base x height) / 2, rearranged to solve for height, leading to the solution of 7 feet for the given area of 42 square feet and base of 12 feet.

To find the height of a sail that is shaped as a right triangle with an area of 42 square feet and a base of 12 feet, we can use the formula for the area of a triangle, which is A = (base x height) / 2. Therefore, we can rearrange the formula to solve for the height:

Height = (2 x Area) / base

By plugging in the values we have:

Height = (2 x 42) / 12 = 84 / 12 = 7 feet

The height of the sail is therefore 7 feet.

Final answer:

The dimensions of the flat-screen television with an area of 1500 square inches are approximately 38 inches in width and 39 inches in length.

Explanation:

To find the dimensions of a flat-screen television with an area of 1500 square inches and a length that is 1 inch more than its width, we can set up a quadratic equation. Let the width be w inches, then the length would be w + 1 inches. The area of the television's screen is given by the formula:

Area = width × length

Substituting the given values, we get:

1500 = w × (w + 1)

This simplifies to:

w² + w - 1500 = 0

Solving this quadratic equation, we find two potential solutions for w, but only the positive value makes sense in this context. Once we find the value of w, the width, we can then add 1 to get the length.

After calculating, we find that the width w is approximately 38 inches, and the length is approximately 39 inches. Therefore, the dimensions of the television are 38 inches by 39 inches to the nearest whole inch.

To subtract polynomials, align the terms and subtract their corresponding coefficients.

Subtracting polynomials involves subtracting the corresponding terms from each other. Start by aligning the like terms and then subtract their coefficients. If there are any terms that cannot be simplified further, leave them as they are in the final answer. For example, if we have (3x^2 + 2x - 5) - (2x^2 - 3x + 4), we align the terms and subtract them to get (3x^2 - 2x^2) + (2x + 3x) + (-5 - 4) = x^2 + 5x - 9.