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3 years ago

14

Doug has $12 to spend on popcorn and peanuts. The peanuts are $4 each and popcorn is $2 each Write a linear equation that descri

bes the amount of peanuts , , and popcorn yhe can buy if he spends all of his money?

1 answer:

Fynjy0 [20]3 years ago

4 0

Popcorn=x
peanuts=y
2x+4y=12

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Write the following equation, then solve. The difference of four times a number, x and 12 is 28

Alona [7]

Answer:

4x - 12 = 28

To isolate 4x, we add 12 to both sides:

4x - 12 + 12 = 28 + 12

so

4x = 40

Now we divide 4 from both sides:

x = 40 / 4

so x = 10

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3 years ago

Read 2 more answers

The other answers I already did I just need the division answers

Oxana [17]

Answer:

6÷41 equals 0.14634146341

6÷21 equals 0.28571428571

6÷43 equals 0.13953488372

6÷37 equals 0.16216216216

6÷20 equals 0.3

Step-by-step explanation:

Hope this helps

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3 years ago

A researcher interested in the effects of humor on memory randomly assigns 16 participants to either the humor group or the no-h

masha68 [24]

Answer: option c

Step-by-step explanation: with a two-tailed hypothesis she can find the way to go deep on the study, she will be able to increase the statistical power. She will be able to separate in specifics groups.

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3 years ago

Which equation represents the graph shown?<br> (Picture attached)

Maurinko [17]

Answer:

correct answer is option B

Step-by-step explanation:

as we know equation of line

y = m x + c....................(1)

where c is the intercept

m is the slope

m = $\dfrac{y_2-y_1}{x_2-x_1}$

m = $\dfrac{35-0}{1-0}$

m = 35

putting value of m in equation (1)

we get

y = 35 x + c

from the graph we can clearly see that line is passing through (0,0) hence

0 = 35 (0)x + c

c = 0

hence the equation of line comes out to be

y = 35 x

correct answer is option B

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3 years ago

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

<u>Answer:</u>

$y=-\frac{1}{16} x^2$

<u>Step-by-step explanation:</u>

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

6 0

2 years ago