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Sedbober [7]
3 years ago
12

150% as a decimal and as a fraction

Mathematics
2 answers:
yanalaym [24]3 years ago
6 0
150% as a fraction \frac{3}{2}
150% as a decimal 1.5
Molodets [167]3 years ago
6 0

three over two

one and five tenths

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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
Help me answer this question
borishaifa [10]
To find the answer you would need to add 11 to 75 and then that is 86 so then divide that by 1 and the answer is 86
7 0
2 years ago
Consider the proof.
fiasKO [112]

Answer:

Correct choice is B

Step-by-step explanation:

In step 4 were proved that \triangle ABC\sim\triangle DEC.

By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,

\dfrac{AC}{DC}=\dfrac{BC}{EC}.

6 0
3 years ago
Read 2 more answers
The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for
larisa [96]

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

total cost of trip = total cost of ticket+total cost of lunch box

we are given

total cost of trip is $248.50

now, we can plug values

and we get

248.50=5x+5*6.50

now, we can solve for x

248.50=5x+32.5

248.50-32.5=5x+32.5-32.5

216=5x

\frac{5x}{5} =\frac{216}{5}

x=43.2

so,

the price of each train ticket is $43.2..........Answer

8 0
3 years ago
Read 2 more answers
PLEASE HELP NOW!!!<br> QRST is a square. Use the properties of a square to find the value of x.
Annette [7]

Answer:

x = 6

Step-by-step explanation:

QRST is a square.

QR = RS (sides of a square are equal)

7x - 10 = 5x + 2

7x - 5x = 10 + 2

2x = 12

x = 12/2

x = 6

7 0
2 years ago
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