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3 years ago

Find the part of each whole 222% of 55

1 answer:

5 0

Part÷Whole=Percent÷100
Part=X
Whole=55
Percent=222
X÷55=222÷100. Set this up in fraction form, cross-multiply and you will get 100x=222×55
222×55=12,210
100x=12,210: Divide by 100.
X=Part=122.1

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Trevon and Ashley are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough an

Nookie1986 [14]

Answer:

the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively

Step-by-step explanation:

The computation of the cost of one package of chocolate chip cookie and one package of ginger bread is shown below:

Let us assume the package of chocolate chip cookie be x

And, the package of ginger bread is y

So,

According to the question

6x + 2y = $72

6x + 10y = $216

Now subtract equation 1 from equation 2

-8y = -144

y = $18

And, for x it would be

6x + $36 = $72

x = $6

Hence, the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively

6 0

3 years ago

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

3 years ago

The amount of time t (in hours) it takes to complete a certain job varies inversely with the number of workers, w. The constant

Vlad [161]

Answer: should be A: 1.75 hours

Step-by-step explanation: divide 28/16 to give you 7/4, then you should turn this into a decimal which gives you 1.75

5 0

4 years ago

A bag of rice weighs 2.5 pounds. How many ounces is that?

blondinia [14]

40 ounces is 2.5 pounds because each pound is 16 ounces

3 0

4 years ago

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Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, space, c, m. He wanted his balloon to be

jonny [76]

The original volume of the balloon is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
V1 = (4/3) * (pi) * (1 ^ 3)
V1 = (4/3) * (pi) * (1)
Then, the volume of the current sphere is:
V2 = (4/3) * (pi) * ((1 + 2 * (1)) ^ 3)
V2 = (4/3) * (pi) * ((1 + 2) ^ 3)
V2 = (4/3) * (pi) * ((3) ^ 3)
V2 = (4/3) * (pi) * (27)
The relation of volumes is:
V2 / V1 = ((4/3) * (pi) * (27)) / ((4/3) * (pi) * (1))
V2 / V1 = 27/1
Answer:
The ratio of the current volume of the balloon to the original volume of the balloon is:
27: 1

6 0

3 years ago

Read 2 more answers