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3 years ago

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Mathematics

1 answer:

Kisachek [45]3 years ago

6 0

Answer:

Step-by-step explanation:

A car is rented for $40 per day plus $0.25 per mile driven. The total is $45.50- 40 + 0.25x + 45.50

Karen buys four t-shirts for $45.50. The three red t-shirts each cost 4 times the price of one blue t-shirt.- x + 3(4x) = 45.50

Finn buys a toy boat for $45.50 including tax He was charged 7% sales tax on the original price.- X+0.07% = 45.50

Nick buys a sweater and a jacket for $45.50. The jacket costs 4 times as much as the sweater- 1 X + 4x = 45.50

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How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?

MAVERICK [17]

Non-negative integers are positive integers or zero.

1. When $x_1=0,$ then there are such possible cases for $x_2$ and $x_3:$

$x_2=0,\ x_3=10;$
$x_2=1,\ x_3=9;$
$x_2=2,\ x_3=8;$
$x_2=3,\ x_3=7;$
$x_2=4,\ x_3=6;$
$x_2=5,\ x_3=5;$
$x_2=6,\ x_3=4;$
$x_2=7,\ x_3=3;$
$x_2=8,\ x_3=2;$
$x_2=9,\ x_3=1;$
$x_2=10,\ x_3=0.$

In total 11 solutions for $x_1=0.$

2. For $x_1=1,$ there are such possible cases for $x_2$ and $x_3:$

$x_2=0,\ x_3=9;$
$x_2=1,\ x_3=8;$
$x_2=2,\ x_3=7;$
$x_2=3,\ x_3=6;$
$x_2=4,\ x_3=5;$
$x_2=5,\ x_3=4;$
$x_2=6,\ x_3=3;$
$x_2=7,\ x_3=2;$
$x_2=8,\ x_3=1;$
$x_2=9,\ x_3=0.$

In total 10 solutions for $x_1=1.$

3. This process gives you

for $x_1=2$ - 9 solutions;
for $x_1=3$ - 8 solutions;
for $x_1=4$ - 7 solutions;
for $x_1=5$ - 6 solutions;
for $x_1=6$ - 5 solutions;
for $x_1=7$ - 4 solutions;
for $x_1=8$ - 3 solutions;
for $x_1=9$ - 2 solutions;
for $x_1=10$ - 1 solution.

4. Add all numbers of solutions:

$11+10+9+8+7+6+5+4+3+2+1=66.$

Answer: there are 66 possible solutions (with non-negative integer variables)

8 0

3 years ago

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100, 91, 82, 73 Number pattern expression equations

emmasim [6.3K]

Answer:

The pattern is subtract 9 (OR -9)

Step-by-step explanation:

100 - 91 = 9

91 - 82 = 9

82 - 73 = 9

Glad I could help! Feel free to mark brainliest!

5 0

3 years ago

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I dont know how to do graphing pls help

yarga [219]

Answer:

Solution: (-1, -1)

Step-by-step explanation:

y=4x+2

y=-4/3x-2

Solve by graphing.

First, you need to plot the y-intercept.

y=4x+2

2 will be your y-intercept.

Next, you plot your slope.

y=4x+2

From your y-intercept, you will go up 4 and right one space, if you run out of space go down 4 and left 1.

Now repeat the same steps for the next one.

y=-4/3x-2

Plot your y-intercept.

y=-4/3x-2

because your slope is negative you will go down 4 and right 3, if you run out of room go up 4 and left 3.

Then draw connecting lines and wherever the lines intersect, that's going to be your solution. In this case, the solution is (-1, -1).

Hope this helps :)

4 0

3 years ago

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Graph the line using two points.y=- 3/ 5x+2

Flauer [41]

Ok for this you just plug any number for x and 2 is your y intercept ... -3/5 is slope slope is the change in y over the change in x so you go down 3 because the 3 is negative and to the right 5 because 5 is positive. so two points on the line y=3/5+2 are (-5,-1) and (-10, -4).

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3 years ago

5 1/2 + 1 1/6 PLEASE HELP

Rashid [163]

Answer:

6 2/3

Step-by-step explanation:

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3 years ago

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