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3 years ago

12

While preparing for a party a party planner began with 75 pieces of candy she ate 5 pieces while she was working then she put eq

ual amount of the remaining candy into 10 bags how many pieces did she put in each bag

1 answer:

Sloan [31]3 years ago

4 0

The easiest way to find this answer is to work through it step by step.

She starts with 75 pieces.

She eats 5 pieces, so the # of pieces goes down from 75 to 75-5 = 70.

So she has 70 pieces left to put in the bags.

She puts the same amount in each of 10 bags... so we divide 70 by 10 to find the # of pieces in each bag.

70 divided by 10 is 7.

She put 7 pieces in each bag.

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

15.5 rounded to the nearest tenth

Degger [83]

<span>The tenths place is to the right of the decimal point.</span>
In order to round u number to the nearest tenth, you should <span>to the right of the tenths place. Depending on this number you should determine if you will round up or stay the same (if it is bigger than 5 you will round up, if not it will stay the same).
In our case, the number is 15.5 so it is already rounded to the nearest tenth.

</span>

3 0

3 years ago

Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

uranmaximum [27]

<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$ its length

Let ,the length of the living room is = x ft

Then width = $\frac {5}{8}x$ ft

Therefore the area of the living room = $x \times \frac {5}{8}x ft^2$

According to problem,

$x\times \frac {5}{8}x = 360$

⇔ $\frac{5}{8}x^2=360$

⇔ $x^2 = \frac{360\times 8}{5}$

⇔ $x^2 = 576$

⇔ $x=\sqrt{576}$

⇔ $x = 24$

Therefore the length of the living room = 24 ft

8 0

2 years ago

Read 2 more answers

How do you do trigonometric Ratios<br>

iren2701 [21]

To calculate the sine of an angle, simply divide the length of the opposite side, 479.16, by the length of the hypotenuse, 610. To get the cosine, divide the length of the adjacent side, 377.5, by the length of the hypotenuse, 610.

4 0

2 years ago

A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes,

irga5000 [103]

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

7 0

2 years ago