It costs $120 to have a party for 9 people at the skating rink. The cost includes a charge of ,$10 for each person attending the party plus the price of a cake.
How much does the cake cost?

We can actually deduce here that the 114 rode in a car to school out of 252 twelfth graders.

Please, note that the question is incomplete.

Information actually refers to the available facts and structured data that is given or learnt. Information is very important to achieve and acquire certain knowledge.

Below is the complete question:

Information about how the students at Vista View High School got to school this morning is shown in the table. A 6-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, Total. The second column is labeled Walk with entries 104, blank, 99, 314. The third column is labeled Bicycle with entries 8, 10, blank, blank. The fourth column is labeled Bus with entries 96, 72, 28, 196. The fifth column is labeled Car with entries blank, 88, blank, 276. The sixth column is labeled Total with entries 282, blank, 252, 815. Out of all 252 twelfth graders, how many rode in a car to school?

A.11

B. 74

C. 111

D. 114

So, in order to find the number of twelfth graders that actually rode in a car, we will have:

Number of twelfth graders that rode in a car = total number of twelfth graders - those that walked - those that rode bicycles - those that went with bus.

Where:

Total number of twelfth graders = 252

Those that walked = 99

Those that rode bicycles = 11

Those that went with bus = 28

Therefore, the number of twelfth graders that rode in a car = 252 - 99 - 11 - 28 = 252 - 138 = 114.

Those that rode in a car = D. 114

We see that out of the information given, one can actually see that 114 rode in a car to school.

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Answer:

the slope is -1/3

the Y intercept is 10/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

We want to get the equation in slope intercept form (y=mx+b)  where m is the slope and b is the y intercept

x+3y = 10

Subtract x from each side

x-x+3y = -x+10

3y = -x+10

Divide each side by 3

3y/3 = -1/3x +10/3

y = -1/3x +10/3

The slope is -1/3 and the y intercept is 10/3

Answer:

the answer is C

Explanation:

Answer:

h=4

Step-by-step explanation:

The given function is

[tex]h(x)=x^2-8x+14[/tex]

We add and subtract the square of half the coefficient of x.

[tex]h(x)=x^2-8x+(\frac{-8}{2})^2-(\frac{-8}{2})^2+14[/tex]

[tex]h(x)=x^2-8x+(-4)^2-(-4)^2+14[/tex]

The first three terms forms a perfect square trinomial

[tex]h(x)=(x-4)^2-16+14[/tex]

[tex]h(x)=(x-4)^2-2[/tex]

We now compare to the vertex form;

[tex]h(x)=a(x-h)^2+k[/tex]

We have h=4

67 - 34 = 33 (Since you ate 34 apples)

33*12 = 33*10 + 33*2 = 330 + 66 = 396

396 apples.

The correct answer is:  D) 30 inches

Explanation:

We know that x represents the distance in inches from the left side of the arch. Using 3 for x, we have:

f(3) = -2(3)(3-8)

f(3) = -2(3)(-5)

f(3) = -6(-5)

f(3) = 30

Therefore, the correct answer is 30 inches! Thank you for your inquiry, your welcome for the answer and explanation!

The correct answer is:  D) The height of the arch, measured 3 inches from the left side of the arch 30 inches

In math, height can be defined the vertical distance from the top to the base of the object. It is measured in cm, inches, meters, etc.

We know that x represents the distance in inches from the left side of the arch. Using 3 for x, we have:

f(3) = -2(3)(3-8)

f(3) = -2(3)(-5)

f(3) = -6(-5)

f(3) = 30

Therefore, the correct answer is 30 inches

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Answer:

B. (-1,13)

Step-by-step explanation:

Given translation

(x,y)→(x-2,y-6)

moves point 2 units to the left and and 6 units down.

If a point after this translation has coordinates (-3,7), then its preimage has coordinates (-1,13) (translate the image point 2 units to the right and 6 units up to get preimage point).

Answer:

(-5,1)

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

The Slope is given by the following equation

m= (y2-y1) / (x2-x1)

Where x2=4, x1=x, y2=1, y1=-6, m=1 by requirements of this problem

Developing the equation we have this:

[tex]1=\frac{1-(-6)}{4-x}[/tex]

Which leaves to the following equation

[tex]5=4-x[/tex]

Resulting that x=9

Answer:

Mean = 51.375

Mode = 55,44

Step-by-step explanation:

add all the numbers up and divide by 8

find the most repeating numbers.

Answer:

Mean: 51.375

Median: 51.5

Mode: 44, 55

Hope This Helps!  Have A Nice Day!!

Answer:

[tex]b=12.5[/tex] ft

Step-by-step explanation:

From this description we can draw this diagram

Now we can use the Pythagorean theorem to find the height.

[tex]10^2+b^2=16^2\\\\b^2=256-100\\\\b=\sqrt{156}[/tex]

This square root is equal to

[tex]b=12.489[/tex]

Which rounds to

[tex]b=12.5[/tex] ft

log 10=1,

log 2= 0.3010, and  

log 3= 0.4771.

From these values, we can find many other log values.  

log 5 = log 10 - log 2 = 0.699

log 0.5 = 0–log 2 = -0.301

log 1.5 = log 3 - log 2 = 0.1761

log 2.5 = log 5 - log 2 = 0.398

To find log of any number y:

Express y as (10^m)*(2^n)*(3^p)*(1+x).

Approximate log(1+x) as

(0.4343)*(x-x^2/2+x^3/3)

Or 0.4353*(x-x^2/2)

log y =

m + 0.3010*n + 0.4771*p + (0.4353)*(x-x^2/2+x^3/3)

To find log 13

13=2^2*3*(1+1/12)

log 13

= 2*0.3010 + 0.4771 + (0.4353)*(1/12 - 1/288+1/5184)

= 0.6020 + 0.4771 + 0.034847

= 1.1139

Answer:

v = ( D/ 2Z )

Step-by-step explanation:

Equation given : D = 2ZV

In order to find V, we will have to divide both sides by 2Z

: V = D/2Z

the answer is two football players weigh less than 70 kilograms

Answer:

Less than 2 players.

Step-by-step explanation:

Given that the scatter plot shows the height and weight of football

players on a team.

WE have to find the number of players who weigh less than 70 kgs.

In the graph of scatter plot we find tha when y<70, there are 2 points in the graph.

Hence only two players in football weight less than 70 kgs.

Answer:A=85 E=73 S=37 L=66.5 (or 65) T=82 P=53 D=10 O=89 C=17

Step-by-step explanation:

I am very good at Pythagorean theorem I did it this year.

To do this it is actually like the easiest thing to do in math. The formula is A²+B²=C². To do this it is easier with a scientific calculator. If you don't have one you can use this online calculator: desmos.com/scientific

Step 1. get the two number and square (²) them ( multiply that number by it) For Example 30 multiplied by 30. Or on the calculator I gave you just do 30²+40²

Step 2. After that you will get 2500. Then on the calculator get this symbol √ and but the number 2500 in front of it. it should look like this. √2500.

Step 3. After that you will get 50 which is your answer. And that is how you do Pythagorean theorem.

I hope that helped you. If you don't have a scientific calculator you can use the link I provided above. If you can't use it I reccomend buying one.

[tex]y=\frac{5}{7} x+2[/tex]

How?

The way you find it is easy. +2 means go up 2y. 5 is y too, so you do 2+5=7. Now go 7 positive x. The answer is this.

Hope this helped:)

Answer:

C. [tex]y=\frac{5}{7}x+2[/tex].

Step-by-step explanation:

We have been given a scatter plot. We are asked to find the equation of line of best fit.

First of all, we will find slope of line of best fit using points [tex](0,2)[/tex] and [tex](7,7)[/tex].

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{7-2}{7-0}[/tex]

[tex]m=\frac{5}{7}[/tex]

We can see that y-intercept of line of best fit is 2.

We will write our equation in slope intercept form [tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

Upon substituting [tex]m=\frac{5}{7}[/tex] and [tex]b=2[/tex] in slope-intercept form, we will get:

[tex]y=\frac{5}{7}x+2[/tex]

Therefore, the equation of line of best fit for given scatter plot is [tex]y=\frac{5}{7}x+2[/tex] and option C is the correct choice.

it is true 9x=9x

7x+(2x+7)=9x+7

7x+2x+7=9x+7

-7. -7

7x+2x=9x

9x=9x

Answer:

1 3/4

Step-by-step explanation:

8.25-6.5

Answer:

I believe it is B

Lowest- 6 1/2 inches

Tallest- 8 1/4 inches

6 1/2-8 1/4= 1 3/4

I am sorry if this is wrong.

Answer:

The scale factor is [tex]\frac{1}{60}[/tex]

Step-by-step explanation:

we know that

The scale factor is equal to the ratio between the side length of the scale drawing to the corresponding side length in the actual

so

[tex]\frac{2}{120}=\frac{1}{60}[/tex]

Answer:

1/60

Divide

Step-by-step explanation:

Answer:

The fifth root is 2[cos(56°) + i sin(56°)]

Step-by-step explanation:

* To solve this problem we must revise De Moiver's rule

- In the complex number with polar form

∵ z = r(cosФ + i sinФ)

∴ z^n = r^n(cos(nФ) + i sin(nФ))

* In the problem

- The fifth root means z^(1/5)

- We can put 32 as a form a^n

∵ 32 = 2 × 2 × 2 × 2 × 2 = 2^5

∴ z = 2^5[cos(280°) + i sin(280°)]

* Lets find z^(1/5)

[tex]*z^{\frac{1}{5}}=[2^{5}]^{\frac{1}{5} } (cos(\frac{1}{5})(280)+isin(\frac{1}{5})(280)[/tex]

[tex]*(2^{5})^{\frac{1}{5}}=2^{5.\frac{1}{5}}=2[/tex]

∴ z^(1/5) = 2[cos(56) + i sin(56)]

* The fifth root of 32[cos(280°) + i sin(280°)] is 2[cos(56°) + i sin(56°)]

Answer:

That would be 132/396

Step-by-step explanation:

the 132 is the part of the fraction and the 396 is the rest of the fraction.

Answer:

33 and 2/3 percent

Step-by-step explanation:

132x100 divided by 132+396 = 33.33

Answer:

Constant of proportionality should be 48.

Step-by-step explanation:

Given that a small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go directly to freezer storage and 80% are loaded on a truck for delivery.

Now we need to find about what is the constant of proportionality for the number of pies baked and loaded on a truck for delivery.

Number of baked pies = 180

Number of pies loaded on truck for delivery = 80% of baked pies

= 0.80(180)= 144 in 3 hours.

So number of pies loaded per hour = 144/3= 48

Hence constant of proportionality should be 48.

[tex]\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^{\frac{1}{3}}\implies \sqrt[3]{x^1}\implies \sqrt[3]{x}[/tex]

V=ABh

S=a +b+c

————-

2

=83.5

bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf P(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad Q(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-0}\implies \cfrac{1+4}{5}\implies \cfrac{5}{5}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=1(x-0)\implies y+4=x \\\\\\ y=x-4\implies -x+y=-4\implies \stackrel{\textit{standard form}}{x-y=4}[/tex]

Answer:

Yes

Step-by-step explanation:

First we'll find the number of total bars of soap.

8 + 8 + 11 = 27

Is 27 divisible by 27?

Yes because 27 / 3 = 9

So you could rearrange the soaps to have 9 bars in each basket.

Answer:

[tex]H.2\sqrt{2}\ cm[/tex]

Step-by-step explanation:

Hello, I think I can help you with this

To solve this you can use the Pythagorean theorem, which states

in a right triangle:

[tex]side\ length^{2}+side\ length^{2}=hypotenuse^{2} \\[/tex]

the hypotenuse is the longest length of the triangle, in this case JK

Step 1

Let

side1= 2 cm

side2= 2 cm

hypotenuse=unknown=JK

isolate the hypotenuse from the equation

[tex]side\ length^{2}+side\ length^{2}=hypotenuse^{2}\\hypotenuse=\sqrt{side\ length^{2}+side\ length^{2}}[/tex]

It's a distance, we'll only take the positive root

put the values into the formula

[tex]hypotenuse=\sqrt{side\ length^{2}+side\ length^{2}} \\hypotenuse=\sqrt{(2\ cm)^{2}+(2\ cm)^{2}}\\hypotenuse=\sqrt{4\ (cm)^{2}+4\ (cm)^{2}}\\hypotenuse=\sqrt{8\ (cm)^{2}} \\hypotenuse=\sqrt{4\ (cm)^{2}*2} \\hypotenuse=\sqrt{4\ (cm)^{2}} \sqrt{2}\\hypotenuse=2\sqrt{2}\ cm[/tex]

the length JK is

[tex]2\sqrt{2}\ cm[/tex]

have a good day

For this case, we must make a rule of three, to find the percentage of the k-40 found in the sample found.

1.3 ----------> 100%

1 -------------> x

Where "x" represents the percentage of k-40 present in the sample found.

[tex]x = \frac {1 * 100} {1.3}\\x = 76.9230[/tex]

Rounding off we have:

76.92%

ANswer:

Option A

The percentage of parent K-40 remaining in the rock is calculated as 76.92% of the original K-40.

Percentage of parent K-40 remaining in the rock:

Calculate the number of half-lives: 1 billion years / 1.3 billion years = 0.7692 or about 0.77 half-lives.

Use the formula[tex](1/2)^n[/tex] where n is the number of half-lives to find the percentage remaining: [tex](1/2)^0.77[/tex]  ≈ 0.76.

Convert to a percentage for the original K-40 remaining in the rock: 0.76 * 100% ≈ 76.92%.

Answer:

9/50 or 18%

Step-by-step explanation:

The factors of 36 are-

That's 9 factors. 1-50 means that it is a 9 out of 50 chance, or 80%.

When a number is chosen at random from 1 to 50 the probability of selecting factors of 36 is 2/50​.

Probability is the ratio that shows us how likely an event will occur from a given set of events.

The factors of 36 are:

36 = 2*2*3*3

Therefore the factors of 36 are 2 and 3.

Total number of factors = 2

Total number of numbers from 1 to 50 = 50

The probability of selecting factors of 36​ = P(selecting factors of 36)

= 2/50

The probability of getting a factor of 36 when a number is chosen at random is 2/50.

Therefore, we have found that when a number is chosen at random from 1 to 50 the probability of selecting factors of 36​ is 2/50.

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Answer:

[tex]\frac{2p-1}{3}[/tex]

Step-by-step explanation:

Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.

1) Expand 2(q+p)

2q + 2p = 1 + 5q

2) Move all q terms to one side

5q - 2q = 2p - 1

3q = 2p - 1

3) Divide 3 on both side (to isolate q)

q = [tex]\frac{2p-1}{3}[/tex]

After making q the subject of the formula in the equation 2(q + p) = 1 + 5q, the resulting solution is:

[tex]q = \frac{2p - 1}{3}[/tex]

The given equation is:

2(q + p) = 1 +5q

To make q the subject of the formula, follow the steps below

Expand the expression using the distributive rule

2q + 2p = 1 + 5q

Collect like terms by subtracting 2q from both sides of the equation

2q - 2q + 2p = 1 + 5q - 2q

2p = 1 + 3q

Subtract 1 from both sides of the equation

2p - 1 = 1 + 3q - 1

2p - 1 = 3q

Divide through by 3

[tex] \frac{2p - 1}{3} = q[/tex]

Therefore after making q the subject if the formula in the equation 2(q + p) = 1 + 5q, the resulting solution is:

[tex] q = \frac{2p - 1}{3}[/tex]

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7 1/2

divide 30 by 4. you’ll get 7 remainder:2 take the whole number you got:7 take the remainder:2 (that will be ur numerator) then take the divisor:4

you’ll get 7 2/4

(simplest form is 7 1/2)