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valentinak56 [21]
3 years ago
14

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of we

eks Kalon will need to save to reach his goal?
Mathematics
2 answers:
mina [271]3 years ago
5 0
700-175=525
525:35=15
He must save $35 during 15 weeks to have his new computer
miskamm [114]3 years ago
5 0

Answer:

15 weeks.

Step-by-step explanation:

Let w represent number of weeks.

We have been given that Kalon can save $35 per week, so amount saved in w weeks would be 35w.

Kalon has $175, so total amount saved by Kalon after w weeks would be 35w+175.

Since Kalon needs to save at least $700 for a new computer, so his total savings should be greater than or equal to 700.

We can represent this information in an inequality as:

35w+175\geq 700

35w+175-175\geq 700-175

35w\geq 525

\frac{35w}{35}\geq \frac{525}{35}

w\geq 15

Therefore, Kalon will have to save at-least for 15 weeks to reach his goal.

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PLZ HLP Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?
DanielleElmas [232]

Answer:

the equation D ) would cause a consistent-independent system.

Step-by-step explanation:

A ) 5 x + y = 7  /*( -2 )

    10 x + 2 y = 14

    --------------------

    - 10 x - 2 y = - 14

      10 x + 2 y = 14

   ------------------------

       0 x = 0  ( Dependent system )

B ) 5 x + y = 7  / *  3

    - 15 x - 3 y = - 6

    --------------------------

    15 x + 3 y  = 21

    - 15 x - 3 y = - 6

  -------------------------

        0 x = 15 ( Inconsistent system )

C )   5 x + y = 7

       5 x + y = - 7  / * ( - 1 )

       ---------------------------

       5 x + y = 7

      - 5 x - y = 7

    ------------------

        0 x = 14  ( Inconsistent system )

D ) 5 x + y = 7  / * ( - 2 )

     6 x + 2 y = 7

     ------------------

      - 10 x - 2 y = - 14

        6 x   + 2 y = 7

      -----------------------

       - 4 x = - 7;     x = 7/4;   y = - 7/4

7 0
3 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
Please place the integers in order from least to greatest. (3, -2, 5, 500/2000, -8, -4, 2000/2000, 0, 12)
Semmy [17]

Answer:

-8

-4

-2

0

500/2000

2000/2000

3

5

12

Step-by-step explanation:

8 0
3 years ago
The equation
faust18 [17]

Answer:

best approximate is 78 F. to find x, count number of hours between 5 am and 2 pm (which is 9). Substitute 9 into the equation and solve. hope this helps!

Step-by-step explanation:

y = -  0.37 {x}^{2} + 6.15x + 52.3  \\ y =  - 0.37 ({9}^{2} ) + 6.15(9) + 52.3 \\ y =  - 0.37(81) + 6.15(9) + 52.3 \\ y =  - 29.97 + 55.35 + 52.3 \\ y = 77.68

7 0
3 years ago
I need Help with this question up top!
d1i1m1o1n [39]
The answer is A hope this helped
7 0
3 years ago
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