Evaluate the expression 3. 14(a2 ab) when a = 4 and b = 2. (Input decimals only, such as 12. 71, as the answer. ) Answer for Blank 1:.

Answer:

correct me if I'm wrong......

The cost of meal = [tex]$30[/tex]

The tip to the waiter = [tex]8%[/tex]%

Discount = [tex]10%[/tex]%

Cost = [tex]30 + 0.08 * 30 - 0.1 * 30[/tex]

Cost = [tex]30(1 + 0.08 - 0.1)[/tex]

Cost = $[tex]$29.4[/tex]0

Step-by-step explanation:

move the denominators across sides

4x-8 = 3x+15

x=23

Answer:

Step-by-step explanation:

[tex] \frac{x - 2}{3} = \frac{x + 5}{4} \\ 4(x - 2) = 3(x + 5) \\ 4x - 8 = 3x + 15 \\ 4x - 3x = 15 + 8 \\ x = 23 \\ [/tex]

Answer:

If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning

Step-by-step explanation:

You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)

edit: Question 4) is similar following the AA statement for triangles

Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are

rectangles!

Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.

Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.

Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor

Answer:

Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the width is w and the length is w + 5.

The area is 84:

Answer:

I think its C .

Answer:

5

Step-by-step explanation:

45=(2x-1)(x)

45=(2(5)-1)(5)

45=(10-1)(5)

45=(9)(5)

45=45

Answer: 173 because she wrote two checks was nto given two checks so you subtract :)

Step-by-step explanation:

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{40\%~of~P}{0.4P~~~~}\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to 22.5\%\to \frac{22.5}{100}\dotfill &0.225\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ 0.4P=P(1-0.225)^t\implies \cfrac{0.4P}{P}=(1-0.225)^t\implies 0.4=0.775^t[/tex]

[tex]\log(0.4)=\log(0.775^t)\implies \log(0.4)=t\log(0.775) \\\\\\ \cfrac{\log(0.4)}{\log(0.775)}=t\implies \stackrel{\textit{about 3years, 215days and 8hrs}}{3.59\approx t}[/tex]

so at that time the value is 40% of its original value, I guess is less than that a minute or an hour later.

[tex]\\ \tt\longrightarrow \dfrac{3}{6}x-7=\dfrac{2}{6}x-4[/tex]

[tex]\\ \tt\longrightarrow \dfrac{3}{6}x-\dfrac{2}{6}x=-4+7[/tex]

[tex]\\ \tt\longrightarrow \dfrac{1}{6}x=3[/tex]

[tex]\\ \tt\longrightarrow x=6(3)[/tex]

[tex]\\ \tt\longrightarrow x=18[/tex]

Answer:

Reggie has spent

Step-by-step explanation:

7 quarters

Answer:

7 quarters

Step-by-step explanation:

We know that for every quarter, Reggie would receive 50 food pebbles, we also know that he has thrown 350 food pebbles into fish pools. So let's create an equation, q is for the quarters.

50(q) = 350

Since every quarter gives Reggie 50 food pebbles, then the q variable will go next to 50, and since we need to reach the total amount of 350, we put it on the opposite side.

Solve for q by isolating it, divide 50 from both sides:

[tex]\frac{50q}{50} =\frac{350}{50}[/tex]

[tex]q = 7[/tex]

Therefore, Reggie used 7 quarters for 350 food pebbles.

Answer:

20

Step-by-step explanation:

One angle of a nonagon has an angle of 140 degrees, so

7x = 140.

Divide 140 by 7 to find the value of x.

140 ÷ 7 = 20

Answer/Step-by-step explanation:

If the vertical line touches the graph at more than one point, then the graph is not a function.Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.  

[RevyBreeze]

Yes it's a function

As per the defination of function.

If every domain of the relationship has an unique range that's a function

So

Here

And rest also have unique range

So it's a function

The amount of money returned as interest depends on the initial

amount, the interest rate and the number of years.

Response:

Given:

The return on investment = $6,336

Amount the Certificate of Deposit pays = 4.4% simple interest

The initial investment (the principal), P= $16,000

Required:

The duration the initial amount of money had been invested.

Solution:

Interest = Principal × Rate × Time

Which gives;

[tex]Time = \mathbf{ \dfrac{Interest }{ Principal \times Rate}}[/tex]

Therefore;

[tex]Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9[/tex]

Learn more about simple interest here:

https://brainly.com/question/22943790

Answer: 9 years

Hope this helps.

Step-by-step explanation:

0.20×64=12.80

12.80-11.80= 1 dollar of bowls spilled so 100÷5=20

20 bowls are spilled

Answer:

[tex]\frac{10}{3}[/tex]

Step-by-step explanation:

5 can be written as [tex]\frac{5}{1}[/tex].

Now, we multiply across the numerator and across the denominator.

[tex]\frac{2}{3}*\frac{5}{1}[/tex]

2 * 5 = 10

3 * 1 = 3

[tex]\frac{10}{3}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.

We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule

f(n + 1) = -4 f(n) + 3

We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)

f(1 + 1) = -4 f(1) + 3

f(2) = -4 • 1 + 3

f(2) = -1

We do the same thing to find the next term f(3) :

f(2 + 1) = -4 f(2) + 3

f(3) = -4 • (-1) + 3

f(3) = 7

One more time to find the next term f(4) :

f(3 + 1) = -4 f(3) + 3

f(4) = -4 • 7 + 3

f(4) = -25

Seven boys hire DVD's and each pays R5,50

I assume R 5.50 ( R to be the currency)

also assuming that they dont hire any more DVDs

total amount paid by 7 boys

= 5.50 × 7

= 38.5

when 4 more friends join the amount should get divided by 11 ( 7 + 4 )

so each has to pay an amount of 38.5 / 11 = 3.5

I think my assumptions here were correct

if not

let me know :)

Answer:

are you from k-12? bc if so im also stuck on this question

Step-by-step explanation:

Answer:(4,3)

Step-by-step explanation: 6+-3=3 and 1 to the right 3 times is 4

Answer:

-14>y-4

so -14+4>y-4+4

and -10>y

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

Answer:

C

Step-by-step explanation:

1 + 0.02 is the 2% growth of the collection every month, to the power of 12 means the 12 months, and to the power of 2 mean 2 years.

Answer:

5/10

Step-by-step explanation:

1/2 times 5 equals 5/10, so they are equal.

Answer:

(3,2)

Step-by-step explanation:

2x-4=y

2y+3x=13

We substitute the y in. They already gave us the equation 2x-4=y simplified so you would just plug this into the other equation

2(2x-4) +3x=13 : *distribute*

4x-8+3x=13 :  *combine like terms*

7x-8=13  * add the 8 to the other side*

7x=21 *divide*

x=3

So  the y=2x-4 is what we added in the place of the y to subtract it and solve for x. The second step would be solving for y. So now that we have our answer, 3  we plug it into the other equation preferably.

2(3)-4 =y : 6-4=y : 2=y

We can check our answer by pugging both x and y into both equations to make sure they are right. The statement should be true.

2x-4=y         2(3)-4=(2)    2=2

2y+3x=13    2(2)+3(3)=13    13=13