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Vladimir79 [104]
3 years ago
12

The cake store is having a 25\%25%25, percent off sale on all of its cakes. If the cake you want regularly costs \$9$9dollar sig

n, 9, how much would you save with the discount?
Mathematics
2 answers:
larisa86 [58]3 years ago
6 0
25% = 25/100 = 0.25

9*0.25 = 2.25.

You save $2.25 with the discount. 
Fed [463]3 years ago
5 0

Answer:

$2.25.

Step by step explanation:

We have been given that the cake store is having a 25% off sale on all of its cakes.

To find our savings with the discount we will find 25% of $9 (regular cost of cake).

\text{Savings with the discount}=9\times\frac{25}{100}

\text{Savings with the discount}=9\times\frac{1}{4}

\text{Savings with the discount}=\frac{9}{4}=2.25

Therefore, we will save $2.25 with the given discount.

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Which function is the best represented by the graph?​
Elena-2011 [213]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0
3 years ago
All planets revolve around thensun in elliptical orbits. Uranus's furthest distance from the sun is approximately 3.004 x 10 km,
boyakko [2]
Add the two numbers 3004000000+2749000000 and divide by 2
which equals 2876500000 or 2.8765x10^9
5 0
3 years ago
Can someone help me with this please
stellarik [79]

Ok so we'll  go ahead and solve for y first -  we just need to get it alone on one side of the equal sign

Step 1: subtract 2x from each side

2x - 7y - 2x = 19 - 2x

This cancels out the 2x on the left, giving us

-7y = 19 - 2x

Step 2: divide both sides by -7

\frac{-7y}{-7} = \frac{19}{-7} + \frac{-2x}{-7}

This gives us

y = -19/7 + 2x/7

That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.

When x = -3

y = -19/7 + 2x/7

y = -19/7 + 2(-3)/7

y = -19/7 - 6/7

y = -25/7


When x = 0

y = -19/7 + 2x/7

y = -19/7 + 2(0)/7

y = -19/7


When x = 3

y = -19/7 + 2x/7

y = -19/7 + 2(3)/7

y = -19/7 + 6/7

y = -13/7


Hope that helps! Feel free to ask if I can help with anything else :)

7 0
3 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

8 0
3 years ago
Read 2 more answers
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