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diamong [38]
3 years ago
11

Can someone help me with this problem://

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).

Multiply by 12

... 4(x -1) +3(x +5) = 6

... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses

... 7x +11 = 6 . . . . . . . . . . . .collect terms

... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11

... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient

_ _ _ _ _ _ _

Here it is the other way.

... x(1/3 +1/4) +(-1/3 +5/4) = 1/2

... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms

... x + 11/7 = 6/7 . . . . . . . multiply by 12/7

... x = -5/7 . . . . . . . . . . . subtract 11/7

At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.

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Gabriellas school is selling tickets to a fall musical. On the dirst day of ticket sales the school sold 10 senior citizen ticke
Tanya [424]
A senior ticket costs $10, while a student ticket costs $8. You can solve this system of equations by the elimination method.

We can use x as the variable for the senior tickets, and y as the variable for the student tickets and represent it with these equations:
10x+12y=212 and 12x+14y=232

Next, multiply each entire equation by a variable so they can eliminate each other. I used 12 and -10 here so it would be 120x-120x to eliminate that variable.
12(10x+14y=212) and -10(12x+14y=232)

Our new equations are:
(120x +168y= 2544) and (-120x-140y=-2320)

You can then subtract one of the equations from the other leaving you with 28y=224 and solve it for y to get 8.
So the price of a student ticket is 8.

Pick any of the original equations and by replacing y with 8, you can solve to find x. (X is the variable we assigned for senior tickets)
10x+14(8)=212
10x+112=212
10x=212-112
10x= 100
1x=10
6 0
3 years ago
Question 1<br> Find the area of the shaded region.<br> 18 ft<br> 15 ft<br> 8 ft<br> A = ft?
qwelly [4]

Answer:

<h2>135 ft²</h2><h2 />

Step-by-step explanation:

see attached image

<u>shaded area = total area (1)  - unshaded triangular area (2)</u>

1.  area of a trapezoid = (a + b) * h/2

   where a = 8,  b = 18,  h = 15

   Area of trapezoid = (8 + 18) * 15/2 = 195 ft²

2.  Area of unshaded triangle = 1/2 (8) 15 = 60 ft²

shaded area =  195 - 60 = 135 ft²

4 0
3 years ago
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anastassius [24]

Answer:

SAS similarity theorem

Step-by-step explanation:

Both the triangles are similar by SAS similarity theorem.

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