MATHEMATICS COLLEGE

Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?

Answers

Answer 1
Answer:

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!

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how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze

Answers

let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
..
80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
.1x=32
x=320
gallons of 80% solution to be mixed=320

Final answer:

To obtain a mixture that is 70% antifreeze, you need to mix 70 gallons of an 80% antifreeze solution with 70 gallons of a 30% antifreeze solution.

Explanation:

To determine how many gallons of an 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze, we can use the concept of the concentration of solutions.

Let's assume x gallons of the 80% antifreeze solution need to be added.

The amount of antifreeze in the 80% solution is 0.8x gallons, and the amount of antifreeze in the 30% solution is 0.3 * 70 = 21 gallons. The total amount of antifreeze in the final mixture is 0.7 * (70 + x) gallons.

Setting up the equation: 0.8x + 21 = 0.7 * (70 + x).

Solving for x, we get x = 70 gallons. Therefore, you need to mix 70 gallons of the 80% antifreeze solution with 70 gallons of the 30% antifreeze solution to get a mixture that is 70% antifreeze.

Learn more about antifreeze solution here:

brainly.com/question/34878159

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(02.05)The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent.

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Answer: CAN SOMEONE PLZ ANSWER TFF QUSTION PLZ!!

SUBSCRIBE TO GBG_EJJ ON YT  AND YOU WILL HAVE THE ANSWER DUHH

What's the inverse operation of division? A. Multiplication
B. All mathematical operations
C. Subtraction
D. Division has no inverse operation.

Answers

The answer to your question is,

A. Multiplication

-Mabel <3

The inverse operationof division is multiplication.

Hope this helps you

Brainliest would be appreciated!

- AaronWiseIsBae

Let a1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 1 EndMatrix ]​, a2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 7 2nd Row 1st Column negative 7 3rd Row 1st Column 2 EndMatrix ]​, and bequals[Start 3 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column negative 22 3rd Row 1st Column h EndMatrix ]. For what​ value(s) of h is b in the plane spanned by a1 and a2​?

Answers

Answer:

For h= 25,  b in the plane spanned by a1 and a2​

Step-by-step explanation:

a1= \left[\begin{array}{c}1\n2\n-1\end{array}\right] \na2 = \left[\begin{array}{c}-7\n-7\n2\end{array}\right] \n\nb   = \left[\begin{array}{c}3\n-22\nh\end{array}\right]

we have to find value of h for which  b in the plane spanned by a1 and a2.

For this the linear systems given by the  following augmented matrix must be consistent.

\left[\begin{array}{cc|c}1&-7&3\n2&-7&-22\n-1&2&h\end{array}\right]

Reduce the augmented matrix into row echelon form:

R_(2) - 2R_(1) , R_(3) + R_(1)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&-5&h+3\end{array}\right]\n\n7R_(3)+5R_(2)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&0&7h-175\end{array}\right]

For system to be consistent:

                         7h-175 =0\n7h=175\nh=25

PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Answers

Answer:

a) y= 2x +3

b) y= ¼x +1

Step-by-step explanation:

Please see the attached picture for the full solution.

Further explanation:

b) y-intercept of A= 5

y-intercept of line= 5 -4= 1

Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.

Find the indicated probability. a bag contains four chips of different colors, including red, blue, green, and yellow. a chip is selected at random from the bag and then replaced in the bag. a second chip is then selected at random. make a list of the possible outcomes (for example rb represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (hint: there are 16 possible outcomes.)

Answers

Answer:

0.25

Step-by-step explanation:

Let

r = red

b = blue

g = green

y = yellow

  • If the first chip is r, the second can be r, b, g or y. The 4 possibilities are rr, rb, rg, ry.
  • If the first chip is b, the second can be r, b, g or y. The 4 possibilities are br, bb, bg, by.
  • If the first chip is g, the second can be r, b, g or y. The 4 possibilities are gr, gb, gg, gy.
  • If the first chip is y, the second can be r, b, g or y. The 4 possibilities are yr, yb, yg, yy.

From the 4 + 4 + 4 + 4 = 16 possible outcomes, there are 4 in which the chips are of the same color (rr, bb, gg, yy).  The probability that the two chips selected are the same color is

4/16 = 0.25 = 25%

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