In the diagram, OP = 2 and OP’ = 8.

Find the scale factor of the dilation.
1/4
1/2
4
6

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5[/tex]

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5[/tex]

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

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Answer:

2022

9 million

Step-by-step explanation:

[tex]p(x) =-x^2 + 4x + 5[/tex]

To find the value of x when the maximum profit occurs, differentiate the function:

[tex]\implies p'(x)=-2x+4[/tex]

set it to zero and solve for x:

[tex]\implies p'(x)=0[/tex]

[tex]\implies -2x+4=0[/tex]

[tex]\implies x=2[/tex]

Therefore, the year in which the company had its largest profit was

2020 + 2 = 2022

Input found value of x into the function:

[tex]p(2) =-(2)^2 + 4(2) + 5=9[/tex]

Therefore, the amount was 9 million

Answer:

yes

Step-by-step explanation:

Let's call the first integer n and let's compute.[tex]n^2 + (n+1)^2 + (n+2)^2 +(n+3)^2 = \\n^2 + \\n^2+2n+1 + \\\ n^2+4n+4 + \\\ n^2+6n+9+\\\ n^2+8n+16 =\\4n^2+20n +30 = 2 (2n^2+10n+15)[/tex]

Which is indeed of the form 2(something), so it is even.

Answer:

5.2812

Step-by-step explanation:

[tex]10^{x-3.6}-7=41[/tex]

Add 7 to both sides:

[tex]\implies 10^{x-3.6}=48[/tex]

Taking logs of base 10:

[tex]\implies \log_{10}10^{x-3.6}=\log_{10}48[/tex]

Apply log rule  [tex]\log a^b=b \log a[/tex]:

[tex]\implies (x-3.6)\log_{10}10=\log_{10}48[/tex]

Apply log rule [tex]\log_aa=1[/tex]:

[tex]\implies (x-3.6)\times 1 =\log_{10}48[/tex]

Simplify and solve:

[tex]\implies x-3.6=\log_{10}48[/tex]

[tex]\implies x=\log_{10}48+3.6[/tex]

[tex]\implies x = 5.281241237...[/tex]

[tex]10^{x-3.6}-7=41[/tex]

Use the rules of exponents and logarithms to solve the equation.

[tex]10^{x-3.6}-7=41[/tex]

Add 7 to both sides of the equation.

[tex]10^{x-3.6}=48[/tex]

Take the logarithm of both sides of the equation.

[tex]log(10^{x-3.6})=log(48)[/tex]

The logarithm of a number raised to a power is the power times the logarithm of the number.

[tex](x-3.6)log(10)=log(48)[/tex]

Add 3.6 to both sides of the equation.

[tex]x=log(48)-(-3.6)[/tex]

Solve by first finding [tex]log(48)[/tex] then subtract [tex](-3.6)[/tex] from the answer:

1. [tex]log(48)=1.6812412373755872181499834821531[/tex]

Now just solve the equation:

[tex]1.6812412373755872181499834821531 - (-3.6)=5.2812412373755872181499834821531[/tex]

Your answer is C. [tex]5.2812412373755872181499834821531[/tex] or [tex]5.2812[/tex]

Answer:

56

Step-by-step explanation:

T+B = 119

T=B-7

B-7 + B = 119

2B = 126

B = 63 years old

T= 63-7 = 56 years old

obiously

right angle triangle

because it has always 90°

Answer:

p/2 - L = W

Step-by-step explanation:

P = 2L + 2W

Subtract 2L from both sides

P - 2L = 2W

Divide both sides by 2

p/2 - L = W

Answer:

p/2 - L = W

Step-by-step explanation:

Answer:

D) There is not enough info to tell (sike maybe not the asnwer)
B) b (bbbbbbbbbbb)

Step-by-step explanation:

SiiiKE, not D) I think but My first thought is D but I know it is not D unless it is another answer BUT I think it is B My final answer is B) b

Rotation involves moving a point around a center

The coordinates of M" are (-2,-3)

The pre-image M is given as:

M =(-3,-2)

The rule of 270 degrees counterclockwise rotation is:

[tex](x,y) \to (y,-x)[/tex]

So, we have:

M' = (-2,3)

The rule of reflection over the x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

M" = (-2,-3)

Hence, the coordinates of M" are (-2,-3)

Read more about rotation at:

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Answer:

the equation is y = 8x

Step-by-step explanation:

so rn we know that the y-intercept 0 so we can write:

y = mx

now to find the slope we need to use the equation y2 - y1/ x2 - x1

lets use the points

(2, 16) and (-2, -16) sooo

16 - (-16) / 2 - (-2)

32/4

8

Known information:

Let us set up some variables for our terms:

Let us set up some equations in terms of our known information

Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:

              (S + M) + L = 24 --->   L + L = 24

              2L = 24

              L = 12

Since L = 12, we know that S = L - 2:

              S = L - 2 = 12 - 2 = 10

Since now we know that L = 12, and S = 10, and L = S + M:

              L = S + M

              12 = 10 + M

               M = 2

So our answer is 2, 10, 12

Hope that helps!

Answer:

Step-by-step explanation:

Answer:

42m2

Step-by-step explanation:

9x4=36m2

3x2x0.5=3m2x2=6m2

36+6=42m2

Answer:

yes it can be scaline triangle

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\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-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8[/tex]

Answer:

yes

Step-by-step explanation:

For the lengths to be the sides of a triangle.

The sum of any 2 must be greater than the third.

8 + 11 = 19 > 14

8 + 14 = 22 > 11

11 + 14 = 25 > 8

Then the 3 lengths can form the sides of a triangle

Answer:

Yes, it can be the sides of a scalene triangle.

Step-by-step explanation:

Because the sides and the angles of a scalene triangle are different.

Answer:

122ft

Step-by-step explanation:

(Note that this is just a logical guess, I do not remember learning how to do this)

We are given the length of the pole and the length of the guy wire after the pole. This gives us a right angle triangle where we know two of the sides. We can the other two sides into the Pythagorean theorem to solve for the diagonal side

recall:

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

plugged in 12ft and 2ft we get:

[tex] {(12)}^{2} + {(2)}^{2} = 148[/tex]

to solve for the diagonal side we take the square root of 148

[tex] \sqrt{148} = 12.17[/tex]

so now we know that 12.17 ft of wire is equivalent to 2 feet on the ground.

[tex] \frac{12.17ft \: wire}{2 \: ft \: ground} [/tex]

We have a total of 20 feet, so we multiply this proportion by 20:

[tex] \frac{12.17}{2} \times 20 = 121.7[/tex]

we are asked to give to the nearest foot so we round up to 122ft

Answer:

20 is A 3.7

21 is D 18.7

22 is C 8.8

23 is A 3.6

24 is D 11.6

25 is A 2.7

I hope this helps!!

Answer:

they bought 23 adult tickets and 2 child tickets

Step-by-step explanation:

the explanation is in the screenshot below

please mark brainliest

Answer:

I really don't know i need the answer as well

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think B because he opened credit card and not yet deposit and then he spent $55.

Answer:

6 people

Step-by-step explanation:

2 1/4 = 9/4 = 18/8

She gave 3/8 of a bag to each of the people => she gave 18/8 : 3/8 = 6 people

So, there are 6 people that live on Janet's block (maybe 7 if count Janet herself)

Answer:

6

Step-by-step explanation:

2.25 divided by 3/8 (0.375)

To double check multiply 3/8 by 6 and you'll get 2.25 (2 1/4).

Answer:.

1.5 miles

Step-by-step explanation:

1 inch = 3 miles

0.5 inches = X miles

X=3(0.5) = 1.5

Answer:

soln,

=119+99

=218 answer

Answer:

angle(2) = 118 degree

angle(3) = 118 degree

angle(4) = 62 degree

Step-by-step explanation:

To find angle 2 :

[tex]62 + angle{2} = 180 \\ angle{2} = 180 - 62 = 118 \: degree[/tex]

The rule (head to head):

angle(2) = angle(3) = 118 degree

And the last one is angle(4) which is the same thing:

angle(4) = angle(1) = 62 degree

Answer:

$37.50

Step-by-step explanation:

[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)[/tex]

[tex]\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)[/tex]