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2 years ago

If 15% of the customer's total is $22.05, then the customer's total is

Mathematics

2 answers:

Harrizon [31]2 years ago

6 0

Answer: If 15% of the customer's total is $22.05, then the customer's total is $147.

Step-by-step explanation:

Let x be the customer's total amount.

It is given that 15% of the customer's total = $22.05

⇒15% of x= $22.05

$\Rightarrow0.15x=\$22.05\\\\\text{Divide 0.15 on both sides, we get}\22.05\\\\\Rightarrow x=\frac{22.05}{0.15}\\\\\Rightarrow x=\$147$

Therefore, If 15% of the customer's total is $22.05, then the customer's total is $147.

Dvinal [7]2 years ago

4 0

Let the customer's total = x

x*15/100 = 22.05

x*15 = 2205

x= 2205/15

x = 147

So, the customer's total would be $147

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Which is the graph of f(x) = (x + 3)(x – 2)? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a

amm1812

Answer:

On a coordinate plane, a parabola opens up

It goes through (negative 3, 0), has a vertex at (negative 0.5, negative 6.25), and goes through (2, 0).

Step-by-step explanation:

f(x) = (x + 3)(x – 2)

We know that parabola opens up since the x^2 term is be positive

it has zeros at x=-3 and x=2

x+3 =0 and x-2 =0 from the zero product property

The vertex is halfway between the zeros

(-3+2)/2 = -1/2

x=-1/2

f(-1/2) = (-1/2+3) (-1/2-2) = 2.5 * -2.5 =-6.25

The vertex is (-1/2, -6.25)

8 0

2 years ago

25 POINTS

uysha [10]

Answer:

a reflection over the x-axis and then a 90 degree clockwise rotation about the origin

Step-by-step explanation:

Lets suppose triangle JKL has the vertices on the points as follows:

J: (-1,0)

K: (0,0)

L: (0,1)

This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:

J: (0,1) , K: (0,0), L: (1,0)

Then we reflect it across the y-axis and get:

J: (0,1), K:(0,0), L: (-1,0)

Now we go through each answer and look for the one that ends up in the second quadrant;

If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.

If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.

If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.

The third answer is the only one that yields a transformation which leads back to the original position.

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2 years ago

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Nosaira solved an equation. Her work is shown below: 3(2x + 1 ) = 2(x + 1) + 1 6x + 3 = 2x + 2 + 1 6x + 3 = 2x + 3 4x = 0 x = 0

maksim [4K]

3(2x+1)=2(x+1)+1
6x+3=2x+2+1
6x+3=2x+3
minus 2x
4x+3=3
minus 3
4x=0
divide by 4
x=0

her work is correct
her conclusion is wrong; there is one solution which is x=0

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2 years ago

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18. A normal population has a mean of 80.0 and a standard deviation of 14.0. a. Compute the probability of a value between 75.0

mixer [17]

Answer:

a) 40.17% probability of a value between 75.0 and 90.0.

b) 35.94% probability of a value 75.0 or less.

c) 20.22% probability of a value between 55.0 and 70.0.

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.

In this problem, we have that:

$\mu = 80, \sigma = 14$