Lena wants to rent a boat and spend at most $52. The boat cost $7 per hour, and Lena has a discount coupon for $4 off. What are the possible numbers of hours Lena could rent the boat?

Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

Answer:

7%

Step-by-step explanation:

25.9÷370=0.07×100=7%

Answer:

log_10(x) - log_10(100000)

Step-by-step explanation:

[tex]log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\[/tex]

Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

Thus,

[tex]\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}[/tex]

We have to Use the quotient property to rewrite;

[tex]log_{10} \dfrac{x}{(100,000)}[/tex]

SO, [tex]log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)[/tex]

Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

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Answer:

f = 8

Step-by-step explanation:

21 + 5f = 61

5f = 61 - 21

f = (61 - 21) / 5

f = 8

Answer:

f = 8

Step-by-step explanation:

"Sum" = addition

"Times" = multiplication

Write an equation to represent this scenario

21 + 5 * f = 61

Multiply 5 by f

21 + 5f = 61

Subtract 21 from both sides of the equation

5f = 40

Divide both sides of the equation by 5

f = 8

Hope this helps :)

Answer: Well, 4 groups of four, and roughly 6 student in a group

Step-by-step explanation:

The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

1. Conditions

First we must check the conditions.

Randomization condition: The sample is given to be random, so we can assume independence.

Success/failure condition: Both np>10 and nq>10 must be met.

10% condition: The sample cannot be greater than 10% of the population.

All conditions are met, so we can use a 1-proportion z-interval to represent the data.

2. Mechanics

Find [tex]\hat{p}[/tex], the sample proportion.

103/1030 = .1

[tex]\hat{q}[/tex], then, the probability of not p, is 1 - .1 = .9

Find z* (z star), the critical z-value.

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

Plug values into the equation.

[tex]\hat{p}[/tex] ± z*[tex]\sqrt{\frac{\hat{p}\hat{q}}{n} }[/tex]

.1 ± 1.96[tex]\sqrt{\frac{.1*.9}{1030} }[/tex]

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

3. Conclusion

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

Answer:

170.5 is the answer from the TI-84

Step-by-step explanation:

Answer:

$30.62

Step-by-step explanation:

12% of 40 is 4.8

(10% is 4, 2% is 0.8)

40- 4.8= 35.2

13% of 35.2 is 4.576

(10% is 3.52, 3% is 1.056)

35.2- 4.576= 30.624

then rounded to 2 decimal places

30.62

Answer:

Micah can put 61072.56 ml³ of water in his cup.

Step-by-step explanation:

The volume of a cone is given by the following formula:

[tex]V = \frac{h\pi r^{2}}{3}[/tex]

In which h is the height and r is the radius.

The radius is half the diameter.

In this question:

Radius of 72/2 = 36 ml. So [tex]r = 36[/tex]

Height of 45 ml, so [tex]h = 45[/tex]

The dimensions are in ml, so the volume will be in ml³.

So

[tex]V = \frac{h\pi r^{2}}{3}[/tex]

[tex]V = \frac{45\pi*(36)^{2}}{3}[/tex]

[tex]V = 61072.56[/tex]

Micah can put 61072.56 ml³ of water in his cup.

Answer:

The answer is 11664pimm^3

Step-by-step explanation:

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

[tex]\frac{M}{H} = \frac{5}{4}[/tex]

Also we have H : W = 8 : 9

[tex]\frac{H}{W} = \frac{8}{9}[/tex]

Now multiply these two equations we have

[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]

[tex]\frac{M}{W}= \frac{10}{9}[/tex]

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

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Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Answer:

556 feet

Step-by-step explanation:

What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.

10^4 = 10,000

2.78 × 10,000 = 27,800

27,800 ÷ 50 = 556

Answer:

556

Step-by-step explanation:

Answer:

you need Jesus lol :)

Step-by-step explanation:

.....

Answer:

2.86 yards

Step-by-step explanation:

Height = volume/parameter

Parameter = 1/2 diameter * pi

Height = 225 / parameter

Height=2.86

Answer:

Step-by-step explanation:

m4 + m3 = 180 (Supplementary angle on 1 line)

m6 +m3 = 180 (Supplementary angle)

-> m6=m4

-> x+80 = 4x-10

-> 90 = 3x

-> x = 30

-> m6=m4 = 80+30 = 110

...

m1+m4 = 180 (Supplementary angle on 1 line)

-> m1 = 180 -110 = 70

Answer:

  3.  7632

  4.  485

Step-by-step explanation:

3. The only prime digit greater than 6 is 7, so that is the thousands digit. The only even prime is 2, so that is the ones digit.

In order for the number ending in 2 to be divisible by 4, the tens digit must be odd. The only odd numbers that have a double that is an even digit are 1 and 3. Since all digits must be different, the hundreds digit cannot be 2×1 = 2, but must be 2×3 = 6.

The number is 7632.

__

4. In order for an odd number to be divisible by 5, its ones digit must be 5, not 0. Then the tens digit is 5+3 = 8, and the sum of these two digits is 5+8 = 13. To make the total of digits equal to 17, the hundreds digit must be 17-13 = 4.

The number is 485.

Answer:

B; D

Step-by-step explanation:

5) 3x + 7 = 6x - 11 -->

18 = 3x -->

6 = x (B)

6) (t+6)(10) = (t)(12) -->

10t + 60 = 12t -->

60 = 2t -->

30 = t (D)

Answer:

80

Step-by-step explanation:

I just did this and its right!

Answer:

80

Step-by-step explanation:

step-by-step explanation is xy xyz wyz xyz 80

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer: 28.27

Step-by-step explanation:

First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.

b = 36.0

Step-by-step explanation:

These two triangles are similar, so they can have a ratio that is equal to one another. We need to pick a side on one of the triangles and match the corresponding side on the other triangle, an example of this would be 6/27. Something like 6/45 would be incorrect since they are totally different corresponding sides. For the other side of the ratio, you will want to keep the same pattern. So if you do the left triangle first in the first ratio, keep it the same for the other. An example of this would be 6/27 = 8/b. It would be incorrect to put 6/27 = b/8.

There are numerous different ratios you can do but this is the one I did...

[tex]\frac{10}{45}=\frac{8}{b}[/tex]

Notice how I used both of the triangles corresponding sides and followed the pattern of which triangle came first.

Now we can solve by cross multiplying.

[tex]10*b=10b[/tex]

[tex]45*8=360[/tex]

[tex]10b=360[/tex]

Divide.

[tex]360/10=36[/tex]

b = 36

Answer:

13ft a second it's just a an average it the feet divided by the time by 2

Answer:

f(x) = x + 13

Step-by-step explanation:

f(x) = x

when x = 0, y = 0

f(x) = x + 13

when x = 0, y = 13

Answer:

The answer is that the y-coordinate should be -3 1/2.

Step-by-step explanation:

First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.

Answer:

  $1.50

Step-by-step explanation:

The cost of 5 daily fares is ...

  5($4.25) = $21.25

The difference between that and the cost of a pass is ...

  $21.25 -19.75 = $1.50

You can save $1.50 per week by buying the pass.

Answer:C

Step-by-step explanation:

3.1 x 10^(-4) x 8.5 x 10^(-2)

3.1 x 8.5 x 10^(-4) x 10^(-2)

26.35 x 10^(-4-2)

26.35 x 10^(-6)

2.635 x 10^1 x 10^(-6)

2.635 x 10^(1-6)

2.635 x 10^(-5)

Answer:

The first option is not a function

Explanation:

A function is where there is no repeated x values

Just a reminder

Answer:

0

Step-by-step explanation:

The smallest (greater or equal to zero) multiple of 13 is 0

to get a positive multiple of 13 you have to multiply 13 by a natural number:

0 = 13×0

13 = 13×1

26 = 13×2

.

.

.

then the smallest one is 0.

Answer:

Step-by-step explanation: The digit in the tenths place will be 1 place to the right of the decimal point.

So in this problem, the digit in the tenths place is 3.

A reflection over a line l  moves every point P  of the plane to the point P ′  on the perpendicular from  P to the line l and on the same distance from l .

If the line is the  x  -axis, a point P  =  ( p 1   p 2 )  moves to the point  P ′  =  ( p 1 , − p 2 ) .

The image of the triangle A B C  is the triangle  A ′ B ′ C ′ with  B ′  =  ( 9 , − 5 )