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trapecia [35]
2 years ago
13

When comparing prices for activities at a local recreation center, you notice that the center charges different prices on differ

ent days of the week. For example, riding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday.
Mathematics
2 answers:
Brut [27]2 years ago
6 0
Riding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday.
=> From 10 dollars to 5 dollars
Let's solve how many percent did it decreases?
=> 5 / 10 = 0.5
=> 0.5 * 100% = 50%
50% is the percentage that decreases in the price.

gayaneshka [121]2 years ago
3 0

The activity type would be the input and the cost would be the output. Because there are two different costs for the same activity, this would not be a function.

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Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

7 0
2 years ago
Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts
Zina [86]

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = x

Let the quantity of glazed donuts = y

Let the quantity of custard filled donuts = z

As per question statements, following equations can be made:

x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)

Putting x=2x in (1) and (2):

y+3z=12 .... (4)\\y+9z=18 .... (5)

Subtracting (4) from (5):

6z=6\\\Rightarrow z =\bold{1}

By equation (3):

x=\bold{2}

By equation (1):

y=\bold{9}

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

3 0
2 years ago
A recent poll of 124 randomly selected residents of a town with a population of 310 showed that 93 of them are opposed to a new
tester [92]
The sample size is 124.
93 of them are opposed to new shopping center.

So, 
n = 124
p = \frac{93}{124}=0.75

The point estimate of the population proportion = p = 0.75
q = 1 - p = 0.25

Margin of error (E) can be calculated by:

E= Z_{c}  \sqrt{ \frac{pq}{n} }

Using the values, we get:

E=1.645 \sqrt{ \frac{0.75*0.25}{124} }=0.06

Therefore, the margin of error is approximately 0.06 or 6%.
6 0
2 years ago
Read 2 more answers
a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study
zvonat [6]
6 because 1/3 of 24 is 8 and 1/4 of 8 is 6
4 0
2 years ago
-6(2r +8)=-10(r-3)<br> I need the work to
barxatty [35]

Answer:

r = -39

Step-by-step explanation:

So we are trying to solve the equation for r.

-6(2r + 8) = -10(r - 3)

Divide both sides by -2. (This will make distributing much easier.)

3(2r + 8) = 5(r - 3)

Distribute the 3 on the left side and the 5 on the right side,

6r + 24 = 5r - 15

Subtract 24 from both sides.

6r = 5r - 39

Subtract 5r from both sides.

r = -39

So now we have solve the equation.

I hope you find my answer and explanation to be helpful. Happy studying. :)

5 0
2 years ago
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