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Answer:

a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)

b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)

Step-by-step explanation:

2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.

9 * 10^-4 = 9 * 1/10000 = 9/10000

To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.

So we do:

2.2/1000 * 10/10 = 22/10000

9/10000 + 22/10000 = 31/10000 = 0.0031.

The sum of the weights of the two in insects is 0.0031 grams.

To find how much heavier the fly is than the gnat we do:

22/10000 - 9/10000 = 13/10000 = 0.0013

The fly is 0.0013 grams heavier than the gnat.

Answer:

The area of a circle is πr^2

π = 3.142

so the answer is 3.142 × 8^2 = 201.088

That's what I got

Answer:500

Step-by-step explanation:So first u mutiply by 100 then divide by 90

Answer:$863.92

Step-by-step explanation:20% of 89.99 is 18

89.99x8=719.92

18×8=144

719.92+144=

863.92

Answer:

he will pay 864 dollars in total

Step-by-step explanation:

first we have to find 20% of 90 (i just rounded 89.99 to 90).

20% = 1/5, and 1/5 in decimal form is 0.20.   (you can find the decimal value by multiplying the numerator and denominator by 10/10 and then simplifying it)

0.20 * 90 is 18, so we then add that to 90 making 108.

next, since Mark is buying 8 tickets, we multiply 108 by 8, giving us 864

therefore, 864 is our final answer

Answer:

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Step-by-step explanation:

I am going to say that:

x is the proportion of 5th graders.

y is the proportion of 6th graders.

z is the proportion of 7th graders.

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11

This means that:

\frac{y}{z} = \frac{4}{11}

z

y

=

11

4

So

11y = 4z11y=4z

y = \frac{4z}{11}y=

11

4z

The number of 5th graders to that of the 6th graders was 13 to 9.

This means that:

\frac{x}{y} = \frac{13}{9}

y

x

=

9

13

9x = 13y9x=13y

x = \frac{13y}{9}x=

9

13y

All of them is 100%

This means that:

x + y + z = 1x+y+z=1

We need to find z.

y = \frac{4z}{11}y=

11

4z

x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=

9

13y

=

9∗11

13∗4z

=

99

52z

Then

x + y + z = 1x+y+z=1

\frac{52z}{99} + \frac{4z}{11} + z = 1

99

52z

+

11

4z

+z=1

The lcm(least common multiple) between 11 and 99 is 99. Then

\frac{52z + 9*4z + 99z}{99} = 1

99

52z+9∗4z+99z

=1

187z = 99187z=99

z = \frac{99}{187}z=

187

99

z = 0.5294z=0.5294

By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

z(7th graders) is 52.94%.

x + y(5th and 6th graders) is 100 - 52.94 = 47.06%

52.94 - 47.06 = 5.88

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Answer:

Her total bill is $90

Answer:

40%

Step-by-step explanation:

Her monthly paycheck was 120 dollars, because thats how much she earned that month. If she saved 48 dollars, then the percentage of the paycheck she saved is the percent of 120 that is 48 dollars, or 48/120. Simplifying, we have 2/5, (because you can divide both the top and the bottom by 24), and 2/5 is equal to 40%

Answer:

1 yard and 1 foot = 1 1/12 yards

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

just needed the points, sorry

Answer:

13 hours and 12 minutes 

Step-by-step explanation:

You put 3.25 as a fraction which is 3 1/4. then I took 3 1/4 and misused it by 11 1/2. 23/2 - 13/4 = 8 1/4 then we took the 5/8 and divided it by 33/4 (3 1/4) I got 13 1/5. 13 1/5 is 13 hours and 12 minutes.

Minimum amount of time taken to complete the hole is 13 hours and 12 minutes.

In mathematics, proportion is an equation where two ratios are taken to be equal to each other. Suppose if a:b = c:d, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex].

In the question, it is given that, a hole is already dug to a depth of 3.25 feet = 3 [tex]\frac{1}{4}[/tex] feet.

Also, the depth of hole at the end of the day must be atleast 11 [tex]\frac{1}{2}[/tex] feet.

Remaining depth of the hole needed to dug = 11 [tex]\frac{1}{2}[/tex] - 3 [tex]\frac{1}{4}[/tex] = [tex]\frac{23}{2}[/tex] - [tex]\frac{13}{4}[/tex] = [tex]\frac{33}{4}[/tex] feet

Rate of digging is [tex]\frac{5}{8}[/tex] feet per hour.

We have to find how much time will be taken for  [tex]\frac{33}{4}[/tex] feet.

In proportional form, it can be written as  [tex]\frac{5}{8}[/tex] : 1 = [tex]\frac{33}{4}[/tex] : x, where x is the time taken to complete  [tex]\frac{33}{4}[/tex] feet.

⇒  [tex]\frac{5}{8}[/tex] / 1 =  [tex]\frac{33}{4}[/tex] / x

Cross multiplying, we get

 [tex]\frac{5}{8}[/tex] × x = [tex]\frac{33}{4}[/tex] × 1

⇒ x =  [tex]\frac{33}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{66}{5}[/tex] = 13 [tex]\frac{1}{5}[/tex]

Hence the minimum amount of time the equipment must continue at the present rate to complete the hole on schedule is 13 hours and 12 minutes.

To learn more on Ratio, click:

https://brainly.com/question/13419413

#SPJ2

Answer:

28 ft

Step-by-step explanation:

since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board

Answer:

28 feet

Step-by-step explanation:

To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.

Answer:

About 90% of visitors at the Yellowstone National Park was changed from 2000 to 2001.

Step-by-step explanation:

Answer:

5,596,759

Step-by-step explanation:

The the answer is five million, five hundred ninety-six thousand, seven hundred fifty-nine

Answer:

107 patients

Step-by-step explanation:

This year Dr. McGee had 1007 patients act like this is 100%. 10% of 1007 is 107 and since there was a 90% increase 107 is the answer

Answer:

The answer is 19 students per tescher

Step-by-step explanation:

76 ÷ 4 =19

Possible answer: A

Step-by-step explanation:

it could be A because the first few pairs of the #5 are multiplied by 2 and 25 multiplied by 2 is 50. Im not entirely sure.

Answer:

100

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

3 1/3 feet

Step-by-step explanation:

Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.

Hope this helps :)

Answer:

Horizontal

Step-by-step explanation:

The x-axis is horizontal while the y-axis is vertical.

B - Horizontal

The y-axis is vertical and most exponential functions tend to be diagonal.

Answer:in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]{ \rm{ {(7}^{1}) ^{9 } = 7 {}^{5} \times {7}^{5} : \: { \tt{ \red{false}}} }} \\{ \boxed{ \mathfrak{correction \dashrightarrow \: ( {7}^{1}) {}^{9} = {7}^{9} }}} \\ \\ { \rm{ \frac{ {y}^{13} }{ {( {y}^{2}) }^{6} } = {y}^{ - 10} \times {y}^{9} : \:{ \tt { \red{false}}}}} \\ { \boxed{ \mathfrak{correction \: \dashrightarrow \: { \rm{{y}^{1} }}}}} \\ \\ { \rm{ {b}^{4} \times {b}^{ - 6} = \frac{ {b}^{1} \times {b}^{3} }{ {b}^{6} } }} \: : \: { \tt{ \green{true}}}[/tex]

Answer:

i dont know if im right but i think that its C

Step-by-step explanation:

Answer:

these question are hard to draw on but there is points for you (0,4) and (7,4)

A. 4/6 + 56 as it is closest to 57 ( the value of x in the equation)

Answer:

Robbie should use 1st expression

Step-by-step explanation:

23+34=X

23+35= 4/6+56

=(5+336)/4

=56.67

=57

Hello! :p

1. question: -7x = 63    Answer: x = -9

2. question: x + 8 = -15  Answer:  x = -23

3. question:   2/3x = 27    Answer:   exact form:   x = 81/2   decimal form:   x = 40.5 Mixed number form: x = 40 1/2

4. question:  x/9 = 5 Answer: x = 45

5.question: x + 2.6 = 1.7 Answer: x = -0.9

6.question: -8x = -56  Answer: x = 7

Hope this helps! Have a wonderful day! :)

Answer:

X = Y x 3

Step-by-step explanation:

In the table, we can look at 5 and 15 as well as 11 and 33 and easilly tell that it has a correlation of tripling the number. To check our answer, all we must do is 8 1/3 x 3 and end up with 25

Answer:

→ y = 3x because 15 divided by 5 equals 3, 25 divided by 8 1/3 equals 3 and 33 divided by 11 equal 33 ( I hope you have a good day or night! and I also hope you get you homework correct as well:))))).

Answer:

Sarah makes more money.

Step-by-step explanation:

Sarah get $9 for 1hr of babysitting, but according to the chart Samara get only $3 for 1hr of babysitting.