MATHEMATICS HIGH SCHOOL

Mindy wants to solve the following system using the elimination method: y = x − 4
y = 2x − 3

What number should the equation y = x − 4 be multiplied by to eliminate x?

Answers

Answer 1
Answer:

The Mindy should multiplied the second equation with number 2 to elminate the x term and solve the system using the elimination method.

What is elemination method?

The elemination method is used to solve the system of equation and to find the values of unknown variable.

To solve the equations using the elemination method, follow the following steps-

  • Multiply all the equation, with a number such that the one of the comon variable of both the equation gets the same coefficient.
  • Substract the equations to elminate one of the variable.
  • Solve the equation for remaining variable.
  • Substitude the value of this variable in any equation to find the value of other variable.

The system of equation, Mindy wants to solve using the elimination method are,

y = x - 4\ny = 2x - 3

To perform the elemation method, the terms of varible of x in both the equation should be same.

The coefficient of x in second equation is 2. Thus, the equation y = x − 4  should be multiplied by 2 to eliminate x.

2y =2 (x - 4)\n2y =2x - 8

Hence, the Mindy should multiplied the second equation with number 2 to elminate the x term and solve the system using the elimination method.

Learn more about the eleminationmethod here;

brainly.com/question/826228
Answer 2
Answer: y = x − 4 // * (-2) ( multiply by -2 )
y = 2x − 3

-2 y = -2 x + 8
y = 2x − 3
------------------ sum
-y = -2x + 2x +8 - 3
-y = 0 + 5  //x has been eliminated

answer: multiply by -2

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Jana uses 20 cards to play a memory game the cards are either animal cards or fruit cards. The ratio of animal cards to fruit cards is 2:3 How many if the 20 cards are animal cards? Of the fruit cards, 1/3 have bananas on them. How many cards have bananas on them. Show or explain your work.
What's the slope of y=x+5
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If Dave runs 1.3 kilometers in 10 minutes what is his average rate?Adapting and Using Formulas

Answers

1.3km = 10 minutes

speed * time = distance

speed = distance divided by time

His speed = 1.3/10 = 0.13 km/h

What is the slope of the line that passes through the pair of points?
(1, 7), (10, 1)

Answers

(x_1;\ y_1);\ (x_2;\ y_2)\n\nthe\ slope:m=(y_2-y_1)/(x_2-x_1)\n----------------------\n(1;\ 7);\ (10;\ 1)\n\nm=(1-7)/(10-1)=(-7)/(9)=-(7)/(9)

The graph shows two lines, A and B:A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6. Another straight line labeled B joins the ordered pair 0, 0 and the ordered pair 5, 5.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

A (0, 6) is the solution to both lines A and B.
B(0, 6) is the solution to line B but not to line
C(2, 2) is the solution to both lines A and B.
D (2, 2) is the solution to line A but not to line

Answers

The correct answer for the question that is being presented above is this one: "A (0, 6) is the solution to both lines A and B." The statement that is correct about the solution to the system of equations for lines A and B is that (0, 6) is the solution to both lines A and B.

Answer:

C(2, 2) is the solution to both lines A and B.

Step-by-step explanation:

Line A is given as:

A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.

We know that the equation of a line passing through (a,b) and (c,d) is calculated as:

y-b=(d-b)/(c-a)* (x-a)

Hence, the equation of line is:

y-0=(6-0)/(0-3)* (x-3)\n\ny=(6)/(-3)* (x-3)\n\ny=-2* (x-3)\n\ny=-2x+6

Hence, equation of line A is:

y=-2x+6

Similarly B is a line passing through (0,0) and (5,5).

Hence, the equation of line B is:

y=x

So, from the graph we observe that, the point of intersection of the two lines is (2,2).

Thus, option C is correct.

How to find the volume of a rectangular prism

Answers

To find the volume of a rectangle prism, you will need to use the formula V= lenght * width * height. Make sure you state your answer in cubic units.
For example you have a rectangle prism with a lenght of 15m, width 8m, and a hieght of 12m.
V = l * w * h
V = 15 * 8 * 12
V= 120 * 12
V= 1,440
V= 1,440m^3

I hope this help.

Answer:

L x W x H

Step-by-step explanation:

L=Length

W=Width

H=Height

You find your L, W, and H. Multiply your L, W, and H.

Example:

L=Length

W=Width

H=Height

L=7

W=2

H=4

7 x 2 x 4

7 x 2 = 14

14 x 4 = 56

Rearranging to check my work:

7 x 4 x 2

7 x 4 = 28

28 x 2 = 56

I was right.

Hope this answers your question.

Eli has $148 in the bank. He deposits $8 at the end of each week. Peyton has $260 in the bank. He withdraws $6 at the end of each week. How many weeks will it take for them to have the same amount in the bank?

Answers

It would take 8 weeks for them to have the same amount in the bank.

$148 +$8 every week:     $260 -$6 every week:

Week 1: $156                    $254

Week 2: $165                   $248

Week 4: $180                    $236

Week 6: $196                    $224

Week 8: $212                     $212

Which measurement is equivalent to 5 quarts?25 cups
40 fl. oz.
10 pints
1.5 gallons

Answers

If you would like to know which measurement is equivalent to 5 quarts, you can calculate this using the following steps:

1 quart = 4 cups
1 quart = 2 pints
1 quart = 32 fl. oz.
1 quart = 0.25 gallons

5 quarts = 5 * 4 cups = 20 cups
5 quarts = 5 * 2 pints = 10 pints
5 quarts = 5 * 32 fl. oz. = 160 fl. oz.
5 quarts = 5 * 0.25 gallons = 1.25 gallons

Equivalent: 10 pints.
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