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2 years ago

What value of t is a solution for the following equation 1/2(t+4)=32

1 answer:

5 0

1/2(t+4)=32

Multiply by 2:
t + 4 = 64

Subtract 4:
t = 60

Check by plugging in:
1/2(60 + 4) = 32
1/2(64) = 32
32 = 32 :)

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nydimaria [60]

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3 years ago

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A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

<em>Let's plug the points and get the equation of the line:</em>

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3$

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

$y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2$

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3 years ago

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In a High School, 60% of the boys play baseball and 24% of the boys play baseball and football. What is the percent of those tha

astraxan [27]

Answer:

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Step-by-step explanation:

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2 years ago

The graph of which function(s) will contain the point (4, 12)? y = x + 8 y = 3x y = 2x y = x + 6

Alex777 [14]

Answer:

y=x+8 and y=3x

Step-by-step explanation:

The Given point is (4,12)

now we can substitute the point in each of the function and check wether it lies on it or not.

A. y=x+8

substitute y=12,x=4

12=4+8=12 which is true

B. y=3x

substitute y=12,x=4

12=3*4=12 which is true

C. y=2x

substitute y=12,x=4

12=2*4=8 which is not true

D. y=x+6

substitute y=12,x=4

12=4+6=10 . which is not true

Therefore option A and B are correct.

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3 years ago

Solve for s<br> -24-6s=-42

erastovalidia [21]

Answer

S=3

Step-by-step explanation:

add 24 to both sides, then you subtract -42+24 take sign of the larges which is negative and youll get -6s=-18 divide -6 to both sides and you will get S=3

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2 years ago