On Monday, you swim 12 laps in 30 minutes. On Tuesday, you swim 15 laps in 45 minutes. Are these rates proportional?

Answer: $77.40

Step-by-step explanation:

First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.

The total cost of the battery was $77.40.

Answer:

His rate would be 2.5 books per month

Hey there!

[tex]\text {Choose the expression that completes the equation}\\24/6+20=?[/tex]

To complete the equation, we will need to use the order of operations(PEMDAS). Let's start with division since that's the highest in the order.

[tex]24/6=4[/tex]

Now let's addition since that's all that is left.

[tex]4+20=24\\24(ANSWER)[/tex]

So now let's complete the equation.

[tex]24/6+20=24(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer: Yes She is correct

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]

Step-by-step explanation:

Area of a triangle ( A ) = 9.45 m²

Base of a triangle ( b ) = 2.65

Height of a triangle ( h ) = ?

Finding the height of a triangle

[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]

[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]

[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]

Hope I helped!

Best regards! :D

Answer

310

Step-by-step explanation:

add them all up and divide by 12

Answer:

The probability is 0.5714

Step-by-step explanation:

This is a probability question. We are interested in calculating the probability that a random electrical engineering student is from section A.

Mathematically the probability will be;

Number of electrical engineering students in section A/ Total number of electrical engineering students in both sections

Total number of electrical engineering students = 128 - 60 -40 = 28

Now let’s calculate the number of electrical students from section A

Number of mechanical and electrical = 50-18 = 32

Now, there are a total of 60 mechanical engineers and 44 in B; So the number of mechanical engineers in A = 60-44 = 16

So the number of electrical engineers in A = 32-16 = 16

So the probability will be;

16/28 = 4/7 = 0.5714

Answer:

Step-by-step explanation:

1.17/10

2.6/5

3.11/5

answers:

170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]

120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]

220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]

hope this helps! best of luck <3

Answer:

in 9 hour 10 minutes the water level decreased = 5/12

in 550 minutes  the water level decreased = 5/12

in 60 minutes  the water level decreased = (5/12)/550*60

                                                                  = 1/22

Step-by-step explanation:

The rate of which water level decreases is 1/22 per hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Between time interval 9 P.M. and 6:10 AM,

The water level in the swimming pool decreases by 5/12.

To find the rate of decreasing water,

Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.

Since, in 550 minutes the water level decreases by 5/12.

To find water level decreases in each hour,

Use ratio property,

550 minutes = 5/12 decreases

1 minutes = 5/12 x 1/550 decreases

60 minutes = (5/12) x (60 / 550)

                   = 1 / 22

In each hour the water level decreases by 1/22.

To know more about Ratio on:

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Answer:

0.3636 repeating

Step-by-step explanation:

When you divide them, it is 0.36363636 going on forever.

Answer:

Island A=17 house

Island B= 13 house

Island C=23 house

Step-by-step explanation:

Island AB=30 house

Island AC=40 house

Island BC=36 house

Island ABC=53 house

53 - 30= 23 house which is the total of house on island c

53-40=13 house which is the Total of house on island b

53-36=17 house which is the Total of house on island A

Answer:

1) ident. prop. of mult.

2) add. prop. of add.

Step-by-step explanation:

have a good day!

Answer:

[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]

Step-by-step explanation:

[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]

Answer:

5/6

Step-by-step explanation

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12\pi \: mm}}}}}[/tex]

Step-by-step explanation:

[tex] \star[/tex] Radius of a circle ( r ) = 6 mm

[tex] \star[/tex] Circumference of a circle ( C ) = ?

Finding the circumference of a circle having radius ( r ) of 6 mm

[tex] \boxed{ \sf{circumference \: of \: a \: circle = 2\pi \: r \: }}[/tex]

[tex] \hookrightarrow{ \sf{circumference = 2 \times \pi \: \times \: 6}}[/tex]

[tex] \hookrightarrow{ \sf{circumference = 12\pi \: \: mm}}[/tex]

Circumference of the given circle = 12π mm

Hope I helped!

Best regards ! :D

~TheAnimeGirl

Step-by-step explanation:

Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]

[tex]:\implies \sf x \: + \: x \: + \: 4 \: + \: x \: + \: 8 \: = \: 444 \\ \\ \\ [/tex]

[tex]:\implies \sf 3x \: + \: 12 \: = \: 444 \\ \\ \\ [/tex]

[tex]:\implies \sf 3x \: = \: 444 \: - \: 12 \\ \\ \\ [/tex]

[tex]:\implies \sf 3x \: = \: 432 \\ \\ \\ [/tex]

[tex]:\implies \sf x \: = \: \dfrac{432}{3} \\ \\ \\ [/tex]

[tex]:\implies\underline{ \boxed{\sf x \: = \: 144}} \\ [/tex]

[tex]\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\ [/tex]

[tex]\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\ [/tex]

[tex]\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}[/tex]

Answer:

the answer is .5 i think

Answer:

False

Step-by-step explanation:

Only six states have two syllables in their name.

No, only six states have at least two syllables.

Here,

We have to check the given statement '' All state names have at least two syllables'' is true or false.

What are states which have at least two syllables?

There are only 6 states have at least two syllables.

1. Georgia.

2. Kansas.

3. New York.

4. Texas.

5. Utah.

6. Vermont.

Now,

There are only 6 states have at least two syllables.

Hence,

The given statement '' All state names have at least two syllables'' is false.

Learn more about the states have at least two syllables visit:

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Answer:

7 cookies

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

Step-by-step explanation:

First calculate how many pounds of apples you can buy for 20 dollars.

20/1.18 = 16.949 pounds

Now convert that to grams

1 pound = 454 grams

16.949   = x

Cross multiply

1 x = 16.949 * 454

x = 7694.915 grams.

Round to 3 digits

9690 grams.

Answer:

Step-by-step explanation:

Domain:  since x begins to the right of x = -2 and ends at x =2, the domain is  (-2, 2]

Range:  The smallest y value shown is y = -5 and the largest is y = 4.  Thus, the range is [-5, 4].

Answer:

20s³ + 50s² + 32s + 6

Step-by-step explanation:

( 4s + 2 ) ( 5s² + 10s + 3)

use the distribution property:

20s³ + 40s² + 12s + 10s² + 20s + 6

combine like terms:

20s³ + 50s² + 32s + 6

therefore

the expand value = 20s³ + 50s² + 32s + 6

Answer:

17

Step-by-step explanation:

A= 5 B= 3 C=4

Substitute each number to the right letter

4 + (5^2 + 3) -15

Square 5

4 + (25 + 3) -15

Do parentheses first

4 + 28 - 15

32 - 15

Answer = 17

Answer:

[tex]\frac{1}{153}[/tex]

Step-by-step explanation:

There are a total of 7 + 9 + 2 = 18 balls in the vase, therefore, when not replacing the first ball, there would be 18 · 17 = 306 ways to pull 2 balls. There are 2 ways to choose the first black ball and then 1 way to choose the second black ball so there are 2 · 1 = 2 ways to choose 2 black balls. Therefore, the probability is 2 / 306 = [tex]\frac{1}{153}[/tex].

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point

Answer:

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