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iogann1982 [59]

4 years ago

13

Seventy-five percent of the sixth grade class buy their lunch.If there are 240 sixth graders, how many buy their lunch?draw a ba

r model to solve the problem.

1 answer:

vfiekz [6]4 years ago

7 0

180 because you have to multiply 240 and sixtyseven%

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

<em>(h, k)</em><em> - vertex</em>

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using $k+\dfrac{1}{4a}$

<em>k = -5</em>

$-5+\dfrac{1}{4a}=-4$ <em>add 5 to both sides</em>

$\dfrac{1}{4a}=1$ <em>multiply both sides by 4</em>

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

<em>use the distributive property: a(b+c)=ab+ac</em>

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

4 years ago

Write an equation and solve:

11Alexandr11 [23.1K]

Answer

Find out how many months will it take for Jeff to weigh the same as Darius .

To prove

As given

Jeff and Darius are trying to gain weight for the football team.

Jeff weighs 120 pounds and is gaining ten pounds per month.

Darius weighs 150 pounds and is gaining 4 pounds per month.

m = represented the number of months will taken by the Jeff to weigh the same as Darius .

Than the equation become in the form

120 + 10m = 150 +4m

150 - 120 = 10m - 4m

30 = 6m

$m = \frac{30}{6}$

m = 5 months

Therefore in 5 months will it take for Jeff to weigh the same as Darius.

4 0

4 years ago

sergey [27]

Answer:

the answer is 97 student tickets and 15 adult tickets

Step-by-step explanation:

4 0

3 years ago

Are the equations 3x - -9 and 4x - -12 equivalent? Explain.<br> Please Help!!

konstantin123 [22]

No because when you do 3*--9 = 27 and 4*--12 =48

7 0

3 years ago

Just help, what are the answer, Its due in 15 minutes and yea, ill mark brainliest and dont give me a link saying the answer is

Naddik [55]

Answer:

<h2><u><em>6. </em></u></h2><h2><u><em> a. 11 and 2/3 yds. squared</em></u></h2><h2 /><h2><u><em> b. Yes, the volume of the shed is 11 and 1/3 yards squared and what she's trying to put into it is only 10 yards squared, if put in properly, it will be able to fit.</em></u></h2><h2 /><h2><u><em>7. 1,110 in. squared</em></u></h2>

Step-by-step explanation:

6.

a.

(10/3)*(14/9)*(9/4)

= 11 2/3

b.

Yes, because the volume of the shed is about 11.67 yards long, the 10 yards of wood will fit in the shed.

7.

For this one, we have to break it into two pieces.

(I made them into a small box and and big box)

The measurements of the small box are 7*5*6.

The measurements of the big box are 20*5*9.

Using this information, we can make the following equation and solve it quickly.

(7*5*6) + (20*5*9)

(210) + (900)

1,110

Thus, the volume of this box is 1,110 in. ^2

7 0

3 years ago