A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.

Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?
$20.25 – x; $15
$20.25 + x; $25.50
$20.25 – $5.25x; $58.50
$20.25 + $5.25x; $99

Answer:

[tex](5, \: - 2)[/tex]

Step-by-step explanation:

[tex]x + 3y = - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\ \\ x = - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\ \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\ \\ - 2 - 6y + 2y = 6 \\ add \: - 6y \: to \: 2y \\ \\ - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\ \\ - 2y = 8 \\ divide \: both \: sides \: by \: 2 \\ \\ y = - 2 \\ substitute \: the \: value \: of \: y \: into \: an \\ equation. \\ \\ x = - 1 - 3( - 2) \\ distribute \\ \\ - 1 + 6 \\ add \: - 1 \: to \: 6 \\ \\ x = 5 \\ \\ (5, - 2)[/tex]

Answer:

Bar graph

Step-by-step explanation:

Answer:

The volume of the cylinder is 432π

Step-by-step explanation:

Volume of a Cylinder is, πr²h where r = radius and h = height of the cylinder.

so, πr²h = π×6²×12 = 432π

Answered by GAUTHMATH

Answer:

A) 432

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

First, I subtracted 50 from 75.

75 - 50 = 25

Then, subtract 0.5 from 25.

25 - 0.5 = 24.5

I hope this helps!

Answer:

this hard

Step-by-step explanation:

Answer:

0.103 is the correct answer give me brainliest pls

Step-by-step explanation:

Final answer:

To find the critical value for a sample size of 3 and a 95% confidence level, you use a statistical table with an alpha value of 0.05, obtaining 5.991 as the critical value.

Explanation:

The critical value corresponding to a sample size of 3 and a confidence level of 95% is 5.991.

To find this critical value, we use a standard statistical table where for a 95% confidence level, the alpha value (a) is 0.05. Look up a table of critical values for a significance level of 0.05 and a sample size of 3 to obtain 5.991 as the critical value for a two-tailed test.

Answer:

Can you provide a screenshot? I could help you better with a visual.

Answer: i believe it is 15n

Step-by-step explanation

Answer:

16 cups

Step-by-step explanation:

If Joanna bought a gallon container of milk at the store then  volume of the container in cups is 16.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that Joanna bought a gallon container of milk at the store.

We need to find the  volume of the container in cups

1 cup= 8 ounces

1 gallon =128 ounces

So divide 128 by 8

128/8

8 is the common divisor  for 128 and 8

So divide both numerator and denominator by 8

We get 16 cups

Hence, the volume of the container in cups is 16.

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Answer:

12x+28 = 40

Step-by-step explanation:

2(6x+14)=40

Distribute the 2

2*6x +2*14 = 40

12x+28 = 40

Answer:

37.68 ft.

Step-by-step explanation:

Answer: [tex]37.68ft[/tex]

Step-by-step explanation:

[tex]Formula: C=\pi d[/tex]

Replace

[tex]C=(3.14)(12ft)\\C=37.68ft[/tex]

Volume of a Rectangular Prism:

V = lwh

Length: 12 centimeters

Height: 9 centimeters

Width: 2 centimeters

V = 12(9)2

V = 108 x 2

V = 216

V = 216cm^2

The volume of the prism is 216 cm³ with a length of 12 cm, a height of 9 cm, and a width of 2 cm. This is obtained by using the formula for the volume of a prism.

The volume of a prism is

V=B × h cm³

Where B is the base area of the prism and h is the height of the prism.

For the given prism,

length l=12cm

width w=2cm and

height h=9cm

Calculating the base area:

Since the prism has length and width, it is a rectangular prism

Thus,

B = l × w sq.cm

Then, the volume of the prism becomes

V= l × w × h cm³

On substituting the values

V= 12 × 2 × 9

  = 216 cm³  

Therefore, the volume of the given prism is 216 cm³.

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Answer:

The answer would be -17

Step-by-step explanation:

On evaluation of  19 - 11 + (-17) + (-19) + 11 will result in -17

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Using the concept that

+ - = -

On opening the brackets,

19 -11 + -17 + - 19 + 11=19-11-17-19+11

=19-19-17-11+11

=-17

Thus, 19 - 11 + (-17) + (-19) + 11 can be evaluated as -17

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Answer: Jordana will need 92 feet of fencing

Step-by-step explanation:

Given: Length of rectangle = 28 feet

Width of rectangle = 14 feet

Diameter of semicircle = 14 feet

Therefore radius of semicircle : r = [tex]\dfrac{Diamater}{2} =\dfrac{AB}{2} =\dfrac{14}{2} =7 \text { feet }[/tex]

Now we have to find the perimeter of attached figure for putting fence around a garden

[tex]Perimeter = 2 Length +Width + \text {Circumference of semicircle }\\\\\Rightarrow Perimeter = 2\times AD+DC + \pi r\\\\\Rightarrow Perimeter = 2\times 28+14 +\dfrac{22}{7} \times 7 \\\\\Rightarrow Perimeter = 56+14+22 = 92 \text {feet}[/tex]

Hence, jordana will need 92 feet of fencing

Answer:

the answer is 92 (or C)

Step-by-step explanation:

I did the review

Answer:

Its easy

Step-by-step explanation:

Just think and ask teachers for help math is easy if your good at anything else in school , then math should be easy it have to do with all that.

Answer:

a) [tex]P(53<X<62)=P(\frac{53-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{62-\mu}{\sigma})=P(\frac{53-59}{3}<Z<\frac{62-59}{3})=P(-2<z<2)[/tex]

[tex]P(-2<z<2)=P(z<2)-P(z<-2)[/tex]

[tex]P(-2<z<2)=P(z<2)-P(z<-2)=0.97725-0.02275=0.9545[/tex]

b) [tex]a=59 +1.96*3=64.88[/tex]

And for the other limit we have:

[tex]a=59 -1.96*3=53.12[/tex]

And we will have 95% of the values between (53.12, 64.88)

Step-by-step explanation:

Part a

Let X the random variable of interest of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(59,3)[/tex]  

Where [tex]\mu=59[/tex] and [tex]\sigma=3[/tex]

We are interested on this probability :

[tex]P(53<X<62)[/tex]

And we can solve this using the z score:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using the last formula we got:

[tex]P(53<X<62)=P(\frac{53-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{62-\mu}{\sigma})=P(\frac{53-59}{3}<Z<\frac{62-59}{3})=P(-2<z<2)[/tex]

And we can find this probability with this difference:

[tex]P(-2<z<2)=P(z<2)-P(z<-2)[/tex]

And uing the normal standard distribution or excel we got:

[tex]P(-2<z<2)=P(z<2)-P(z<-2)=0.97725-0.02275=0.9545[/tex]

Part b

For this part we want to find a value a, such that we satisfy this condition:

[tex]P(X>a)=0.025[/tex]   (a)

[tex]P(X<a)=0.975[/tex]   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.96.

If we use condition (b) from previous we have this:

[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.975[/tex]  

[tex]P(z<\frac{a-\mu}{\sigma})=0.975[/tex]

But we know which value of z satisfy the previous equation so then we can do this:

[tex]z=1.96<\frac{a-59}{3}[/tex]

And if we solve for a we got

[tex]a=59 +1.96*3=64.88[/tex]

And for the other limit we have:

[tex]a=59 -1.96*3=53.12[/tex]

And we will have 95% of the values between (53.12, 64.88)

In a normal distribution with mean 59 and standard deviation 3, approximately 81.85% of the data lie between 53 and 62. And about 95% of the data lie between 53 and 65, which is two standard deviations from the mean.

In a normal distribution, about 68% of the data lie within one standard deviation of the mean, about 95% lie within two standard deviations, and about 99.7% within three standard deviations.

Part A:

The range from 53 to 62 in this case is from -2 standard deviations from the mean (56) to +1 standard deviation (62). Looking at the empirical rule, we find that about 34.13% of data fall between the mean and -1 standard deviation, and 13.59% fall between -1 and -2 standard deviations. Similarly, about 34.13% of the data fall between the mean and +1 standard deviation. Therefore, the total percentage of data lying between 53 and 62 would be

34.13% + 13.59% + 34.13% = 81.85%, so option B is the closest.

Part B:

About 95% of the data lie between two standard deviations from the mean. Therefore, you would add and subtract two times the standard deviation from the mean, which would yield 59 - 2(3) = 53 and 59 + 2(3) = 65. Thus, about 95% of the data lie between 53 and 65.

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The equation that shows the cost of x gallons of gas is given as y = 2x

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the cost of x gallons of gas. Gas costs $2 per gallon, hence:

y = 2x

The equation that shows the cost of x gallons of gas is given as y = 2x

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Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. I had this question and got it right. Have a great day

Step-by-step explanation:

Answer:

A. Quadratic

Step-by-step explanation:

your welcome and hope this helps

Final answer:

The Quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero.

Explanation:

The Quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero.

The quadratic formula is:

x = (-b ± √(b² -4ac)) / 2a

Where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

The quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero. The quadratic formula is derived from the standard form of a quadratic equation, which is ax² + bx + c = 0. To find the points of intersection between a line and a quadratic, we would substitute the y-component (or x-component, depending on the variable used) of the line equation into the quadratic equation and solve for the remaining variable using the quadratic formula.

Answer:

x = ±2 /3

Step-by-step explanation:

x²=4/9

Take the square root of each side

sqrt(x²)=±sqrt(4/9)

We know sqrt( a/b) = sqrt(a) / sqrt(b)

x = ±sqrt(4/ sqrt(9)

x = ±2 /3

Answer:

95/3 = 31

31 ratio for 2 and 1 then make up the difference

there were 25 point and 45 ...1 point shots

but 32 x 3 makes 96 you will see the top answer is correct 25 2 points and 45 one points as we can distribute 50 and 45 easily as a fair 6/10 and 4/10 balance of 95 just like we do to find 60% of 95 or 40% of 95.

Hi Samantha heres an example for both questions see if you can try add the items and find a multiple to 95 for this question then divide by 3 and distribute like this example below which answers your other question about popcorn.

Step-by-step explanation:

462 = revenue

282 = amount sold

$1 = small

$3 = large

1. we add the amounts together = $4

2. We divide 462/4 =    460/4 = 115 so we are 2 out

3. In our workings we show 4 less +2 less = 4 x 115 = 460 +2 =462-6

456

111 = small $1

456-111 = 345 + 6 = 351 ( large $3 as we were 4+2 less we add 6 = 351

351/3 = 119 large. (we divide by price $3)

111 = small.(we keep)

To find equations

we know know on our workings we have 111 +351 we can call these s and l

s111 + l351 = s111 + l119

462 = 230

462/230 = 2sl mean price.

=====

We plug in again to find 1

462/230 + 1 = 2sl(+l)+x

1s x 1^2  x  1l^2 x x = 1     we rearrange the 1

1s x 1^2  x  3l   we replace ^2 with 1

1s  x 1 x 3l = 1

1 x 3l = 1/1s

3l = 1s

====

Now we can match s and l

3 / 1 + 4 = 460l

3 / 1 = 460/4l

3 / 1 = 120l  

1 x 120-3l

1  x 117l

117 ( 351/3) = L   you cna try rewriting this ( ) plug in in a new equation just added to show you how it works.

l = 357 = L  I wrote capitals as the l looked like a number.

When we subtract total  462- 351 = s then  s = 111

When you understand minus 6 may have made things more tricky try another number where the total 462 is rounded up by 3 to 465 or 470 an work in 30's and 10's then divide by 10 may be of some help/reflection to designing equations it helps you remember alternatives to find out distribution.

Answer:

x2

1 x (N x 2)

2 x (1 x 2) = 4

2 x (4 x 2) = 16

Step-by-step explanation:

Answer:

  C.  A and E

Step-by-step explanation:

A function is increasing when any increase in x results in an increase in y. That is, the general direction is up to the right (/).

A function is decreasing when any increase in x results in a decrease in y. That is, the general direction is down to the right (\).

__

The given graph is increasing for the sections marked A and E. It is decreasing for the section marked C. It is neither increasing nor decreasing at the points B and D.

The appropriate choice for where the function is increasing is A and E.

Answer:

A

Step-by-step explanation:

a. type in 2⁻³ in the calculator and you get 0.125, which is 1/8.

b. Anything to the power of 0 will equal 1. :)

Answer:

A.

Step-by-step explanation:

a.

when you have a negative exponent, the simplified value becomes a fraction:

2^-3

1/2^3

1/8

b.

any number to the power of 0 is equal to one:

(5.5)^0

1

Hope this helps :)

Answer: 21.67 and full Answer is 21.6732

Step-by-step explanation: $108.36 divide by 5!

Answer:

37

Step-by-step explanation:

This is a right triangle so we can find the lengths by using the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 + 35^2 = c^2

144 +1225 = c^2

1369 = c^2

Take the square root of each side

sqrt(1369) = sqrt(c^2)

37 =c

Answer:

The circumference of the green circle is about 138.23 meters.  

The circumference of the blue circle is about 69.115 meters.    

Step-by-step explanation:

Considering 22 m as the green circle radius and 11 m as the blue circle radius:

The circumference of the green circle is about:  

[tex]C=2\pi r[/tex]

[tex]C=2\pi 22\\C=44\pi \\C=138.23 m[/tex]

The circumference of the blue circle is about:  

[tex]C=2\pi r[/tex]

[tex]C=2\pi 11\\C=22\pi \\C=69.115 m[/tex]

Answer:

They both equal 30, so if the question is are both equal the statement is true!

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