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sp2606 [1]
3 years ago
5

Marni danced in a contest to raise money for an animal shelter. Marni raised $30 plus $1.80 per minute that she danced. She rais

ed a total of $264. Let x equal the number of minutes Marni danced. What expression completes the equation to determine the total amount of minutes Marni danced? How many minutes did Marni dance? Enter the answers in the boxes.
Mathematics
2 answers:
klio [65]3 years ago
8 0

Total raised: 264

She raised 30 plus 1.80x (x being the number of minutes).

Equation: 264=1.8x+30

To solve for x, you need to isolate x. First, subtract 30 from both sides.

234=1.8x

Now, divide both sides by 1.8.

130=x

Marni danced 130 minutes.

I hope this helps :)

Vesna [10]3 years ago
5 0

Hi Caden,

Solution:

Subtract 30 from 264

264 - 30 = 234

Now Divide

234 / 1.8 = 130

Answer:

Marni danced for 130 minutes

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The solutions to the equation 3-k=\sqrt{3k+1} are k = 1 and 8

The given equation is:

3-k=\sqrt{3k+1}

Square both sides of the equation

(3-k)^2=3k+1

Expand the left side of the equation above

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Write the quadratic equation in standard form

k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\

Factor the quadratic equation

(k-8)(k-1)=0

Use the zero product property

k - 8 = 0

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The solutions to the equation 3-k=\sqrt{3k+1} are k = 1 and 8

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3 years ago
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I think the answer is $870

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Hatshy [7]

The quadratic function in vertex form is y=\frac{1}{2} (x-5)^{2}-2.

Solution:

The equation of a quadratic in  vertex form  is y=a(x-h)^{2}+k.

where  (h, k) are the coordinates of the vertex and "a"  is a multiplier.

Here (h, k) = (5, –2)

Substitute this in the vertex form.

y=a(x-5)^{2}+(-2)

y=a(x-5)^{2}-2 – – – – (1)

Passes through the point (7, 0).

Here x = 7 and y = 0.

Substitute this in equation (1), we get

0=a(7-5)^{2}-2

0=4a-2

Add 2 on both sides.

2 = 4a

Divide 2 on both sides, we get

$a=\frac{1}{2}

Substitute the value of a in equation (1),

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3 years ago
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Answer:

a is correct

Step-by-step explanation:

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=2^2-(-1)

=2^2+1

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Subtract number of students who like science from number of students who like math.

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