the table shows the total cost for the number of raffle tickets purchased. write an equation that represents the relationship between these two quantities. Use the equation to find the cost of 6 tickets

Answer:

The hypotenuse has a length of 6

Step-by-step explanation:

Remark

The first step is to create the 2 equations needed to solve this problem.

Then substitute one into the other.

Equations

c^2 + a^2 + b^2 = 72  

c^2 = a^2 + b^2

Solution

c^2 + a^2 + b^2 = 72             The sum of the sides each squared of a right triangle = 72

c^2 = a^2 + b^2                      The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2

c^2 + c^2 = 72

2c^2 = 72

c^2 = 36

c = 6.                      minus 6 is meaningless

Answer: 1/8

Step-by-step explanation:

Answer:

3 1/12

Step-by-step explanation:

Answer:

0.7°

Step-by-step explanation:

From the figure:

CF = 4000.2 miles, CE = 4000.01 miles

so FT = √CF² - CT², TE = √CE² - CT²

so FT = 40 miles, TE = 8.94 miles

so ½ × 4000.2 × 4000.01

xsin angle FCE = ½ × 4000 × 140 + 8.94

so sin angle FCE = 0.0122

so angle FCE = 0.7°

so m SB = 0.7°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

15

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

Plug in (-1,2) and (11, -7):

[tex]d=\sqrt{(11-(-1)^{2}+(-7-2)^{2} } = d=\sqrt{(12)^{2}+(-9)^{2} }=\sqrt{144+81} = \sqrt{225} = 15[/tex]

The number of times Damian would pick a vanilla-flavored candy from the jar is 8 times.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The number of times Damian would pick a vanilla-flavored candy = number of vanilla flavored candy / total number of candies

20 / 125 = 0.16  

0.16 x 50 = 8 times

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Answer:

4 Miles

Step-by-step explanation:

Simple, if the boat heading North has traveled 16 miles then the boat heading East has only traveled 4 miles.

Answer:

37.5 cups of blue

12.5 cups of green

50 cups of white

Assuming you have to pay 30 pounds for somebody handing it in to lost property, you'll have a 0.5 probability that you'll have to pay the 30 pounds if you lose the phone.
Also assuming there are no other ways to lose your phone, you have a 0.5 probability (50% chance?) to lose your phone.
Also assuming the "control measure" is the insurance and you won't have to pay a larger amount, you'll probably be better off paying the 30 pounds instead of the larger amount because you have such a high chance of losing your phone.
I apologize if I misunderstood the question.

Answer:

f(-2) = -7

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

[tex]\displaystyle f(x) = \frac{3}{2}x - 4[/tex]

Step 2: Find f(-2)

∴ the function when x = -2 is equal to -7.

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Topic: Algebra I

Answer:

The odds will be 5/13.

Step-by-step explanation:

There are 13 marbles total in this situation. 5 orange, 3 yellow and 5 black (5+3+5) will give us 13 as our overall total. Now, because we have 5 orange marbles available, we'll write this as a 5/13 odds/ chance of picking an orange marbles because it is how many orange marbles are present over how many marbles there are total.

Also! You can't simplify this any further, thus you'd have 5/13 odds.

The equation that can be factored and solved for the samller integer is x² + x - 72 = 0

The product of two consecutive integers is 72. The equation that represents the situation is as follows:

x(x + 1) = 72

where

Therefore,

x(x + 1) = 72

x² + x = 72

x² + x - 72 = 0

Therefore, the equation that can be factored and solved for the samller integer is x² + x - 72 = 0

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The composition of the two given functions is:

(k°h)(x) = 1/5x

Here we have the functions h(x) = 5x and k(x) = 1/x.

We want to get (k°h)(x), which is equal to:

k(h(x))

Then we have:

k(h(x)) = 1/h(x)

Replacing h(x) we get:

k(h(x)) = 1/h(x) = 1/(5x)

So the composition is just one over 5x.

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Answer:

3^4

Step-by-step explanation:

because I took the test

Answer:

40% or 2/5

Step-by-step explanation:

won = 6

total no. of people = 15

probability of winning = 6/15 = 2/5

2/5*100

=40%

Answer:

The probability as a decimal to the nearest hundredth is 0.550.55.

Step-by-step explanation:

61 cash, 5 debit card, and 45 credit card.

\color{steelblue}{61}+5+45=

61+5+45=

\,\,\color{indianred}{111}

111

There were a toal of 111 customers. 61 paid with cash.

Probability the next customer will pay with cash:

\frac{\color{steelblue}{61}}{\color{indianred}{111}}=

111

61

​

=

\,\,0.549549...

0.549549...

\approx

≈

\,\,0.55

0.55

Round to the nearest hundreth

The probability that the next customer will pay with cash is 0.55.

Probability is the ratio of the number of favorable events divided by the total outcome.

We have, given that, Tanisha owns a small business selling bagels. She knows that in the last week 61 customers paid cash, 5 customers used a debit card, and 45 customers used a credit card.

The total number of payments is,

61+45+5=111.

We have to find the probability that the next customer will pay with cash as a decimal to the nearest hundredth.

The number of the favorable outcome for the customer will pay with cash is 61, and the total number of outcomes is 111.

Therefore, the probability is,

P(A)=61/111

P(A)=0.5495.

Therefore, the probability of the nearest hundredth is 0.55.

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After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of [tex]\$800 \times 1.07^t[/tex].

We want the find the number of years n such that

[tex]\$856 \times 1.07^n = \$1400[/tex]

Solve for n :

[tex]856 \times 1.07 ^n = 1400[/tex]

[tex]1.07^n = \dfrac74[/tex]

[tex]\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)[/tex]

[tex]n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)[/tex]

[tex]n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}[/tex]

Answer:

25 years

Step-by-step explanation:

total = before × percent ( in decimal ) × time

1400 = 800 × 0.07 × t

1400 = 56 × t

1400 ÷ 56 = 25

t = 25

Hope this was helpful!

The volume of the rectangular prism A, the preimage is 41km^3

The given parameters are:

Volume B = 5125km^3

Scale factor, k = 5

The volume of B is calculated using:

B = A * k^3

So, we have:

5125 =  A * 5^3

Divide both sides by 5^3

A = 41

Hence, the volume of rectangular prism A, the preimage is 41km^3

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Answer:

The area formula of a circle is [tex]A=\pi* r^2[/tex] where r is the radius and in this case our r is 48 m.  So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us [tex]7,238.23\ m[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

[tex]\pi[/tex]r²

Answer:

20

Step-by-step explanation:

10 + 30 = 40

40 - 10 = 30

30 - 10 = 20

answer is 20

Answer:

20 bouncy Balls!

Step-by-step explanation:

10+30 - 20 = 20

Answer:

6! = 720

3! - 2! = 4

6! ÷ 3! = 120

Step-by-step explanation:

I used a calculator.  ^v^

Answer:

6h^2 - 19h + 15

Find two numbers that their sum is -19 and their product is 90.

Hence, the numbers will be -9 and -10

6h^2 - 9h - 10h + 15

3h(2h - 3) -5(2h - 3)

(2h - 3)(3h - 5)

Answer:

10.25 × h + 25= t

Step-by-step explanation:

he gets 10.25 for every hour, so you do 10.25 × h, than for his extra bonus of 25 dollars a day, you add 25. than t shows the final earnings

[tex]~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4[/tex]