x\9=15/2 what is the answer

Answer:

[tex]x=85\\ \\y=100\\ \\z=100[/tex]

Step-by-step explanation:

Angles with measures of [tex]95^{\circ}[/tex] and [tex]x^{\circ}[/tex] are supplementary angles, thus, they add up to [tex]180^{\circ}:[/tex]

[tex]x+95=180\\ \\x=180-95\\ \\x=85[/tex]

Angles with measures of [tex]80^{\circ}[/tex] and [tex]y^{\circ}[/tex] are supplementary angles, thus, they add up to [tex]180^{\circ}:[/tex]

[tex]y+80=180\\ \\y=180-80\\ \\y=100[/tex]

Find the measures of two remaining interior angles of the pentagon:

[tex]1. \ 180^{\circ}-62^{\circ}=118^{\circ}\\ \\2.\ 180^{\circ}-53^{\circ}=127^{\circ}[/tex]

The sum of the measures of all interior angles in the pentagon is

[tex](5-2)\cdot 180^{\circ}=540^{\circ},[/tex]

then

[tex]95^{\circ}+118^{\circ}+100^{\circ}+z^{\circ}+127^{\circ}=540^{\circ}\\ \\440^{\circ}+z^{\circ}=540^{\circ}\\ \\z^{\circ}=100^{\circ}[/tex]

Answer: that will be 900

Step-by-step explanation: add 60 + 300 =

Answer:

-5x^2

Step-by-step explanation:

-x times 5x = -5x^2, because there is a X being multiplied with an X.

Answer:

-5x^2

Step-by-step explanation:

Multiplying a negative variable by the same variable would equal that variable as a negative and also squared

ANSWER: $432

STEP-BY-STEP EXPLANATION:

The cost of the tablet is $360

Then Tabitha has to pay 20% sales tax.

The tax is the prices times 20%  plus the original price

360 ( 1+ 0.2)

360 (1.2)

=432

The number of teachers required for the 425 students that enrolled at the school is 25.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

At Elmwood Middle School there are 4 teachers for every 68 students.

There are 425 students enrolled at the school.

Let the number of teachers be x required for the 425 students will be

[tex]\rm \dfrac{x}{4} = \dfrac{425}{68}\\\\x \ = \dfrac{425*4}{68}\\\\x \ = 25[/tex]

The number of teachers required for the 425 students that enrolled at the school is 25.

More about the ratio and the proportion link is given below.

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Approximately 25 teachers are needed at Elmwood Middle School. So the correct option is c) 25.

To find out how many teachers are needed at Elmwood Middle School, we can set up a proportion using the given ratio of teachers to students.

Given:

- There are 4 teachers for every 68 students.

Let's set up the proportion:

[tex]\[\frac{\text{Number of teachers}}{\text{Number of students}} = \frac{4}{68}\][/tex]

We know there are 425 students enrolled at the school, so let's find out how many teachers are needed:

[tex]\[\text{Number of teachers} = \frac{4}{68} \times 425\][/tex]

[tex]\[\text{Number of teachers} = \frac{4 \times 425}{68}\][/tex]

[tex]\[\text{Number of teachers} = \frac{1700}{68}\][/tex]

[tex]\[\text{Number of teachers} \approx 25\][/tex]

So, approximately 25 teachers are needed at Elmwood Middle School.

Therefore, the answer is option C. 25.

The complete question is:

At Elmwood Middle School there are 4 teachers for every 68 students. There are 425 students enrolled at the school. How many teachers are needed? A. 17 B. 21 C. 25 D. 28

Answer:

7.2cm

Step-by-step explanation:

Answer: 7.2 cm

Explanation: It's important to understand that the radius is equal to half of the diameter so to find the diameter of a circle with a radius of 3.6 cm, we simply multiply 3.6 cm by 2 and we will get the diameter or the distance across a circle.

To multiply a decimal times a whole number such as 3.6 x 2, first line up the numbers and begin multiplying as if we were multiplying 2 whole numbers.

6 x 2 is 12 so we bring down the 2 and carry the 1.

2 x 3 is 6 and if we add 1 we get 7.

So we have 7.2 cm which is our diameter

Answer:

Yes

Step-by-step explanation:

I think because you didn't finish explaining the question, go check.
I can't understand what you are trying to ask.

A square with a whole number side length would have the same perimeter or area as the dog pen, assuming that the pen is rectangular.

If a square with a side length of s has the same perimeter as the dog pen, then we can write:

4s = 2(l + w) 2s = l + w

Since s is a whole number, l + w must be an even number. This means that both l and w must have the same parity (they must both be even or both be odd) for the equation to be true. However, if both l and w are even, then the ratio of l:w will not be a whole number, which means that a square with the same area as the dog pen cannot exist with whole number side lengths.

If a square with a side length of s has the same area as the dog pen, then we can write:

[tex]s^2[/tex]= lw

Since s is a whole number, we can express it as the product of two whole numbers:

s = ab

Substituting this into the equation for the area, we get:

[tex]a^2 b^2[/tex] = lw

This means that l and w must have at least two factors each that are perfect squares. However, if we assume that the dog pen is rectangular, then its dimensions cannot both have two factors that are perfect squares, which means that a square with the same area cannot exist with whole number side lengths.

For such more questions on length

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Note: The complete question is - Could a square with a whole number side length have the same perimeter as the dog pen? Could a square with a whole number side length have the same area as the dog pen?

Answer:

d

Step-by-step explanation:

took test

The correct statement about the Internet connection cost would be; Any amount of time over an hour and a half would cost $10.

The function is a type of relation, or rule, that maps one input to a specific single output.

The function f(t) represents the cost to connect to the Internet at an online gaming store.

It is a function of t, the time in minutes spent on the Internet.

The function is as follows;

(500 f(t) = $5 30 | $ 10 1 > 90

f (t), when t is a value lie between 0 and 30

The cost is US$ 0 for the first 30 minutes.

f (t), when t is a value lying between 30 and 90

The cost is US$ 5 if the connection takes between 30 and 90 minutes.

f (t), when t is a value greater than 90

The cost is US$ 10 if the connection takes more than 90 minutes

Therefore, The correct statement about the Internet connection cost would be; Any amount of time over an hour and a half would cost $10.

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To buy 78 cookies using packages of 13 or 39, you can either buy 2 packages of 39 or 5 packages of 13 and 1 additional cookie.

To find the number of ways you can buy 78 cookies using packages of 13 or 39, we need to consider the different combinations of packages.

Let's start with the largest package size, 39. If you buy 2 packages of 39, that's a total of 78 cookies. So one option is to buy 2 packages of 39.

Now let's consider the smaller package size, 13. If you buy 5 packages of 13, that's a total of 65 cookies. To reach a total of 78 cookies, you can buy 5 packages of 13 and 1 additional cookie.

Therefore, the total number of ways you can buy 78 cookies is 2 (using only packages of 39) or 1 (using 5 packages of 13 and 1 additional cookie).

Answer:

After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Club A = Membership fee of $ 16 + Monthly fee of $13

Club B = Membership fee of $ 22 + Monthly fee of $11

2. After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?

For answering the question, we will use the variable x to be the number of months of membership of the two clubs, this way:

Club A = Club B

16 + 13x = 22 + 11x

13x - 11x = 22 - 16

2x = 6

x = 6/2 = 3

Substituting and proving x = 3:

16 + 13x = 22 + 11x

16 + 13 * 3 = 22 + 11 * 3

16 + 39 = 22 + 33

55 = 55

After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55

Answer:

2/3

Step-by-step explanation:

parallel lines have the same slope

given that a line has a slope of 2/3

a line that is parallel to this line would also have a slope of 2/3

The equation that represents the plant's height H after M months is H = 45 + M. Substituting 33 for M gives us a plant height of 78 centimeters after 33 months.

To find the equation that relates H to M, we start with the initial height of the plant, which is 45 centimeters. We are given that the plant grows by one centimeter each month, this information provides us with a constant rate of growth.

The equation can therefore be expressed as:

H = 45 + M

Using this equation, we can calculate the height of the plant after 33 months. To do this, we simply substitute 33 for M in our equation:

H = 45 + 33

H = 78

Therefore, the plant's height after 33 months will be 78 centimeters.

Answer:

The surface area of the prism is 252 square units

Step-by-step explanation:

we know that

The surface area of the prism is equal to

[tex]SA=2B+PL[/tex]

where

B is the area of the base of the prism

P is the perimeter of the base

L is the length or the height of the prism

step 1

Find the area of the triangular base B

The area of triangular base B is

[tex]B=\frac{1}{2}(8)(6)=24\ units^2[/tex]

The perimeter of the triangular base P is

[tex]P=8+6+10=24\ units[/tex]

we have

[tex]L=8.5\ units[/tex]

substitute the values in the formula

[tex]SA=2(24)+24(8.5)=252\ units^2[/tex]

Answer:

3k+5a=45

Step-by-step explanation:

It says write an equation. It doesn't specify that you have to solve. That means you can use variables like (k) and (a).

That allows for more flexibility and the equation 3k+5a=45.

3k means that 3 dollars per ticket times (k) tickets equals the total price for kid's tickets

5a means that 5 dollars per ticket times (a) tickets equals the total price for adult's tickets

The equation to represent the cost based on the combination of kids' and adult tickets purchased by Larry is 3k + 5a = 45, where k represents the kids' tickets and a represents the adult tickets.

The problem can be translated into a simple algebraic equation where the number of kids' tickets (k) and the number of adult tickets (a) are the variables. Given the cost per ticket for each category (kids at $3 and adults at $5), we can define a equation where 3k + 5a = 45. This equation represents the cost distribution of the ten tickets that Larry purchased for the state fair, 3 multiplied by the number of kids' tickets plus 5 multiplied by the number of adult tickets.

Therefore, if Larry knows how many of each ticket he bought, he can insert the values for k and a into the equation to see if it equals to 45, the total amount of money he spent.

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Answer:

I think it would be 100

Step-by-step explanation:

because 10^2 is 10 x 10 which equals 100 and so if you have 1/10^2 it's basically saying 1 divided by 10^2 and 10^2 is 100 so it would be 1 divided by 100 which equals 100.

I hope this helped any.

1/10^2 equals 1 divided by 100 or 10 to the power of -2 in exponent notation. The negative sign indicates division by the base (10) raised to the positive power (2).

The expression

1/10^2

represents a fraction where the denominator is 10 raised to the power of 2. By definition, any number (except 0) raised to the power of 2 is that number multiplied by itself. So, 10^2 equals 10*10 which is 100. Therefore,

1/10^2 = 1/100

. This can be written using exponents as

10^-2

, because 1 divided by any number is equivalent to that number raised to the power of -1, and if the number itself is an exponent, then the negative applies to the power. So, 1/10^2 (1 divided by 10 squared) is equivalent to 10 to the power of -2.

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Answer:

(x+7)/7 =y

Step-by-step explanation:

The first step is to switch the variables

x=7y-10

Add the 10 to both sides

x=7y-10

+10  +10

x+10=7y

Divide both sides by 7

(x+7)/7 =y

Answer:

the inverse function is (x + 10)/7

Step-by-step explanation:

y=7x-10

7x = y + 10

x = (y + 10)/7

therefore the inverse of the given function is (y + 10)/7

Answer:

16×4= 64

64.00+3.50

(16×4)+(64.00+14.00)

Step-by-step explanation:

First you have to find how much the tickets will cost per person then add 14.00 because of the one time person but there is four so time 3.50×4

The value of x is [tex]x=\frac{-1+\sqrt{37}}{12}[/tex] and [tex]x=\frac{-1-\sqrt{37}}{12}[/tex]

Step-by-step explanation:

The equation is [tex]\frac{1}{x}-\frac{2}{3}=4 x[/tex]

Subtracting by [tex]4x[/tex] on both sides,

[tex]\frac{1}{x}-\frac{2}{3}-4 x=0[/tex]

Taking LCM,

[tex]\frac{3-12 x^{2}-2 x}{3 x}=0[/tex]

Multiplying by 3x on both sides,

[tex]-12 x^{2}-2 x+3=0[/tex]

Dividing by (-) on both sides,

[tex]12 x^{2}+2 x-3=0[/tex]

Using quadratic formula, we can solve for x.

[tex]\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}[/tex]

Taking out common term 2, we get,

[tex]\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}[/tex]

Thus, the value of x is  [tex]x=\frac{-1+\sqrt{37}}{12}[/tex] and [tex]x=\frac{-1-\sqrt{37}}{12}[/tex]

Answer:

Step-by-step explanation:

5(x - 1) + 3 = 13....distribute thru the parenthesis

5x - 5 + 3 = 13

5x - 2 = 13....add 2 to both sides

5x = 13 + 2

5x = 15 ....divide both sides by 5

x = 15/5

x = 3 <====

Answer:

The square root of 49 is 7. 7*7=49

Hope this helps,

:)

Answer:

The square root of 49 is 7

Step-by-step explanation:

7 multiplied by 7 equals 49, that is how you are sure.

- MoonQue

After the orchestra completed its program, there was a party to allow the patrons to mingle with the  musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two  hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To  that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?

The total bill for catering the party is $ 8689.86

Kayla’s Catering provided the food, drinks, and service for the party

Total number of guests = 207

Charge for food for 1 guest = $ 27

Charge for drink for 1 guest = $ 10

Charge for service for 1 guest = $ 4.98

To find: Kayla total bill for cater

Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)

[tex]Total\ bill = 207(27+10+4.98)\\\\Total\ bill = 207(37 + 4.98)\\\\Total\ bill = 207 \times 41.98\\\\Total\ bill = 8689.86[/tex]

Thus total bill for catering the party is $ 8689.86

Answer:

-3x - 1

Step-by-step explanation:

(6x + 2)-(9x + 3)

We Begin by opening the brackets.

6x + 2 -9x - 3

Please note the change in the signs.

6x - 9x + 2 - 3

-3x - 1

Answer:

-1 11/24

Step-by-step explanation:

Answer:

Good job

Step-by-step explanation:

Answer:

[tex]-5,-7[/tex]

It is Arithmetic.

Step-by-step explanation:

1) A sequence is geometric when it goes from a term to the next term by  multiplying by the same number, which is called "Common ratio" ([tex]r[/tex]).

2) A sequence is arithmetic when it goes from a term to the next term by  adding or subtracting a common value. This value is called "Common difference" and it is denoted with [tex]d[/tex].

Then, given the following sequence:

[tex]3, 1, -1, -3[/tex]

- Let's find out if it is geometric by dividing  each term by its previous one. Then:

[tex]\frac{-3}{-1}=3\\\\\frac{-1}{1}=-1[/tex]

Since there is no Common ratio, it is not a Geometic sequence.

- Now let's see if it is  arithmetic by subtracting each term by its previous one:

[tex]-3-(-1)=-2\\\\-1-1=-2\\\\1-3=-2[/tex]

You can idenfity that it has a Common difference:

[tex]d=-2[/tex]

Therefore, it is an Arithmetic sequence.

The next to terms are:

[tex]-3-2=-5\\\\-5-2=-7[/tex]

Answer:

Step-by-step explanation:

6c + 5

term : 6c and 5....coefficient : 6......constant : 5

a coefficient is the number multiplied by the variable (the letter)....a constant is just a number with no variables (letters)

The term described by the phrase 'the cost of 6 pizzas, c being the cost of each pizza, and a delivery charge of $5' is 6c. The coefficient is 6 and the constant is 5.

The term described by the phrase 'the cost of 6 pizzas, c being the cost of each pizza, and a delivery charge of $5' is 6c. The coefficient is 6 because it is the number multiplying the variable c. The constant is 5 because it is a fixed value that does not involve any variables.

So the correct answer is option A: Term: 6c, coefficient: 6, constant: 5.

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Answer:

  A.  ∠ABC ≅ ∠DBE

Step-by-step explanation:

The whole proof is not shown, but in order to show the triangles similar, one would need to (a) show the sides are proportional, and (b) show the included angle is the same. The portion of the proof that is shown is on the way to showing side lengths are proportional. The missing part for showing triangle similarity is the congruence statement for angle B, as shown above.

__

Once the triangles are shown to be similar, additional work is needed to show DE║AC. At least one pair of corresponding "base" angles must be shown congruent, too.

Answer:

7

Step-by-step explanation:

Answer:

I think 8

Step-by-step explanation:

9/2 and 5/8

here 8 is the LCM.

so, 9/2 × 4/4

5/8 × 1/1

which gives: 36/8 and 5/8

Answer:

It is 2

Step-by-step explanation:

Nothing can go into 2 and 8/4 is 2.