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Elena L [17]
3 years ago
5

Anothony went out to eat dinner, and the meal cost $50.00. of Anthony received a 15% discount, what was th3 toy value of the dis

count?which one is right answers : A) 7.50 B)8.50 C)11.50 D)12.00
Mathematics
1 answer:
hammer [34]3 years ago
8 0
A) $7.50

Here's a simple 15% calculation trick:
First, take 10% of the number. We can do this by moving the decimal place to the right by one, so we take 50.0 and get 5.00. Then, we take half of that value, which is 2.5, and add them together to get 7.5, so $7.50 discount.
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The question is in the image.
miskamm [114]

Step-by-step explanation:

f(x) = 4x + 1

g(x) = x² - 5

(f+g)(x) = f(x) + g(x)

= (4x + 1) + (x² - 5)

= x² + 4x + (1 - 5)

= x² + 4x - 4

Option → C

7 0
2 years ago
If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than
Goshia [24]

Answer:

A(h)  =  h²/2 - 6*h + 10

Step-by-step explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2  and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h)  =  ( h - 2 )* ( h/2 -5 )

A(h)  = h²/2 - 5*h - h + 10

A(h)  =  h²/2 - 6*h + 10

3 0
3 years ago
The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0
3 years ago
I neep helpppppppppp
skelet666 [1.2K]

Answer:

D

Step-by-step explanation:

x  = 5 - 2y \\ y = 3(5 - 2y) - 8 \\ y = 15 - 6y - 8 \\ y = 7 - 6y \\ 7y = 7 \\ y = 1

x = 5 - 2y \\ x = 5 - 2 = 3 \\

7 0
3 years ago
Read 2 more answers
Three swimmers competed in a 50 m freestyle race. A description of their swimming speeds is given. Order the
shtirl [24]
What are the descriptions???
4 0
3 years ago
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