What is the greatest common factor (gcf) of 56 and 98

Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

Answer:

  23.  42 m^2

  24.  144 ft^2

  25.  68 cm^2

Step-by-step explanation:

The teacher should not need to spend any time teaching this. The area of the total figure is the sum of the areas of its parts. You already know that. And, you already know how to compute the areas of triangles and rectangles.

__

You may recall that the area of a triangle is ...

  A = 1/2bh

and the area of a rectangle with the same base and height is ...

  A = bh

So, a triangle with base b and height h has the same area as a rectangle with the same base (b) and half the height (h/2). Recognizing this makes these problems really simple.

__

23. The base of the rectangle and triangle is 7 m. The height of the triangle is 4 m, so its area is equivalent to adding 4/2 = 2 m to the 4 m height of the rectangle. Then the total area is ...

  A = (7 m)(4 m +(1/2)(4 m)) = (7 m)(6 m) = 42 m^2

__

24. Since there are two identical triangles of height 5, their total area is equal to that of a rectangle of height 5.

  A = (12 ft)(7 ft +5 ft) = 144 ft^2

__

25. The 5 cm height of the triangle makes it have an area equivalent to a rectangle 5/2 cm high.

  A = (8 cm)(6 cm +5/2 cm) = 68 cm^2

Note: we have read the fuzzy numbers as 8 cm wide, 6 cm high for the rectangle, and 5 cm high for the triangle. If your figure is different, please use the appropriate numbers in the calculation.

Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.

Answer: y=0.392x2 - 5.583x +21.167

Step-by-step explanation:

The rounded answer is 9.1 hours. The non-rounded answer is 9.11428571429 hours.

First convert all the fractions to decimals, add all the decimals, and then divide by the number of countries to get your answer.

Add in your average use too for the problem.

Answer:

Option (A)

Step-by-step explanation:

Given angle in the picture is neither a right angle (equal to 90°) nor obtuse angle (greater than 90°).

It's an acute angle which measures less than 90°.

Therefore, possible measure of the given acute ∠XYZ = 30°

Option (A) will be the answer.

Answer:

2

Step-by-step explanation:

I hope this helps you :)

Answer:

2

Step-by-step explanation:

Anything divided by 2 is half of itself. So 600 ÷ 300 would technically be 300. But in division we count the amount of times a number can go into the other number. So 600 divided by 300 is 2.

Answer:

=20 -9x

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

=5 -3x -27 + 4x – 10x + 2

=5 + 2 -27 -3x + 4x – 10x

=20 -9x

Answer:

when n=1

= -2(1-7) = 12

when n=2

= -2(2-7) = 10

when n=3

= -2(3-7) = 8

when n=4

= -2(4-7) = 6

when n=5

= -2(5-7) = 4

Step-by-step explanation:

Answer:

does not pass the vertical line test so the graph is not a function

Step-by-step explanation:

Answer:

Let's kim's sisters age be 2x and kim's age be x.

★ When we add kim's age to her sister age, they equals to 36.

So, the equation becomes -

[tex] \\ \implies \sf \: x + 2x = 36 \\ \\ \\ \implies \sf \: 3x = 36 \\ \\ \\ \sf \underline{Now, \: \: solve \: \: for \: x \: \: - } \\ \\ \\ \implies\sf \: x = \frac{36}{3} \\ \\ \\ \implies \large{ \boxed{ \sf{ x = 12}}} \\ [/tex]

Answer:

Step-by-step explanation:

Answer:

31.50 for 14 tickets

Step-by-step explanation:

We can use ratios to solve

4 tickets          14 tickets

--------------   = --------------------

9 dollars          x dollars

Using cross products

4x = 9*14

4x =126

Divide each side by 4

4x/4 = 126/4

x =31.50

Answer:

Step-by-step explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]

                    Statements                                      Reasons

1). KM bisects ∠JKL                                 1). Given

2). m∠JKM = m∠MKL                              2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL              3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL              4). Substitution property of equality

5). 2m∠MKL = m∠JKL                            5). Distributive property

6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]                               6). Division property of equality

Answer:

Option H. 6⅓

Step-by-step explanation:

Let X be the score.

Let F be the number of scores (i.e the frequency)

From the question given above, the following data were obtained from:

X >>>>>>>>> F

4 >>>>>>>>> 2

6 >>>>>>>>> 1

8 >>>>>>>>> 3

Thus, we can obtain the average as follow:

X >>>>>>>>> F >>>>>>> FX

4 >>>>>>>>> 2 >>>>>>> 8

6 >>>>>>>>> 1 >>>>>>> 6

8 >>>>>>>>> 3 >>>>>>> 24

Summation (FX) = 8 + 6 + 24

Summation (FX) = 38

Summation (F) = 2 + 1 + 3 = 6

The average = summation (FX) /Summation F

The average = 38/6

The average = 6⅓

Therefore, Hannah's average for the six math quizzes is 6⅓.

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

The answer is the first one

an input cant have different outputs

Answer:

the answer is five

Step-by-step explanation:

first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation:

[tex]\huge\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]

[tex]\hrulefill[/tex]

Let's start by finding [tex]125\%[/tex] in decimal form. To do this, just divide the percentage by [tex]100[/tex]:

[tex]125\div100=1.25[/tex]

This doesn't match any of our choices, so we'll try fraction form.

A percentage in fraction form is just the percentage over a denominator of [tex]100[/tex].

[tex]\frac{125}{100}[/tex]

Now we divide both the numerator and denominator by their greatest common factor, which is [tex]25[/tex]:

[tex]\frac{125\div25}{100\div25}=\large\boxed{\frac{5}{4}}[/tex]

Answer:

The answer is D). x=2

Step-by-step explanation:

Answer:

-27.51

Step-by-step explanation:

subtract the two numbers

Answer:

1

Step-by-step explanation:

simple math..

Answer:

6000 seconds.

Step-by-step explanation:

Given:

A car covers a distance of 14.75km in 20 minutes.

find:

In how many seconds, will it cover a distance of 73.75km

solution:

the idea is ratio and proportion to get the time based on 73.75 km from 14.75km./20min. in seconds.

 14.75 km.    =  73.75 km    --------> cross multiply

   20 min.              t

14.75 (t) = 73.75 (20)

14.75 (t) = 1475

t =    1475  

      14.75

t = 100 min.  -----------> convert min to seconds.

100 min. x   60 secs.      =          6000 seconds

                      1 min.

therefore,

the time in seconds to travel a distance of 73.75 km is 6000 seconds.

Answer:

130$

Step-by-step explanation:

Answer:

Mitchell will have 130.66 USD remaining.                                                              

Answer:

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

-5 ≤ 1 - 2x < 9

Let's first break this down into two different inequalities.

1 - 2x ≥ -5

Subtract 1 from both sides.

-2x ≥ -6

Divide both sides by -2

x ≤ 3

Now, let's do the second inequality.

1 - 2x < 9

Subtract 1 from both sides.

-2x < 8

Divide both sides by -2

x > 4

let's combine each inequality to get our reduced compound inequality.

-4 < x ≤ 3

To plot this, put a hollow point at -4. A hollow point looks something like the letter o.

And put the second point at 3. This time, fill in the point so it looks whole.

Now, connect your points.

It should look something like this: