Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?

Answers

Answer 1

Answer: 21

Step-by-step explanation:

First, convert the mixed fractions to improper fractions.

(87/4 + 9/2) - 21/4

Next, calculate within the parentheses:

87/4 + 9/2

Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.

87/4 + 18/4 = 105/4

Then, 105/4 - 21/4 = 84/4

Finally, divide 84 by 4 and you get 21.


Related Questions

2(3x + 5) - 4(x - 1)
Simplified form

Answers

Answer:

5x+11

Step-by-step explanation:

Hope this helped!!!

Answer:

2x+14

Step-by-step explanation:

hope this helps!

have a great day!!

What is the equation relating x and
y together?
X
1
2
3
4
5
-9
-8
-7
-6
-5
y=X-[ ?]

Answers

Answer:

If y=x-?, it'd have to be something like y=X-(1-10) etc.

Step-by-step explanation:

I don't think you're giving us enough, but that should be what it is, try to associate that with the full problem or format.

Robert wrote 27 checks in April. The bank charges $0.18 a check. The monthly service charge for the checking account is $7. What is the total of the fees Robert pays in April on his checking account?

Answers

Answer:

his fees that he will pay in april on his checking account is 34.02$  

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: (4,-11)

Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates

Answer:

4,-11

Step-by-step explanation:

The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11

pls mark as brainliest!!

4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?

Answers

M >= 85. The >= sign means greater than or equal to.

Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?

Answers

Answer:

(-5, -1)

Step-by-step explanation:

Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y

(-5,-1) is the answer

what is 3times9 3/5 as a mixed number

Answers

I think I a 24 2/4 not sure though

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

Please help i'll give brainliest please dont attach file

You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?

Answers

Answer: 10=8 11=9 12=10 13=11 14=12 15=13 16=14 17=15

Step-by-step explanation:

HELP ME Look at the photo,

Answers

Answer:

I believe... x=12

Step-by-step explanation:

5x = 4x + 12

5x - 4x = x

therefore, x = 12

hope this helps :)

what is 4=y−5 divided by 3

( the problem is written different it could also be read ad 4=y-5/3 i think because there is like a long line under the y-5 an under the line its 3 plz help

Answers

Answer:

y=17

Please mark me as brainliest.

3
S
1+ 305
[tex]3 - \sqrt{5 } \div 1 + \sqrt[3]{5} [/tex]

Answers

Step-by-step explanation:

can you throw more light on what you want us to find?

Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3

Answers

Answer:

the 3rd graph

Step-by-step explanation:

The graph which represents x-y = 1 is; The 3rd graph.

Graph of a straight line

From the task content, the given equation of the line is; x - y = 1.

By rearranging the equation to take the slope-intercept form;.

y = x - 1.

Hence, slope of the graph is 1 and the y-intercept of the graph is -1.

On this note, only the 3rd graph satisfies the conditions above.

Read more on graph of a straight line;

https://brainly.com/question/14323743

HELPP!! the 4 on top isn’t supposed to be there

Answers

Answer:

12 ANJIRRTOLOLLSKALIII

OOP MAYBE TRY TO ERASE IT

In a recent survey by the National Association of Colleges and Employers, the average starting salary for college graduate with a computer and information sciences degree was reported to be $62,194.40 You are planning to do a survey of starting salaries for recent computer science majors from your university. Using an estimated standard deviation of $11,605, what sample size do you need to have a margin of error equal to $5000 with 95% confidence

Answers

Answer:

A sample size of 21 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Using an estimated standard deviation of $11,605

This means that [tex]\sigma = 11605[/tex]

What sample size do you need to have a margin of error equal to $5000 with 95% confidence

A sample size of n is needed. n is found when M = 5000. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5000 = 1.96\frac{11605}{\sqrt{n}}[/tex]

[tex]5000\sqrt{n} = 1.96*11605[/tex]

[tex]\sqrt{n} = \frac{1.96*11605}{5000}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*11605}{5000})^2[/tex]

[tex]n = 20.69[/tex]

Rounding up,

A sample size of 21 is needed.

In the right triangle shown, find x.
PLEASE HELP!!!!

Answers

Cos40= adjacent/ hypotenuse
Cos40=10/x
x=10/cos40 or choice A

Solve 58 - 10x * 20 * 9x.
O A rs-2
B. X-2
C. XS2
O D. x22

Answers

The answer to your question might be B

What number should be added to both sides of the equation to complete the square? x-^2+8x=4

Answers

Answer:

2.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?

Answers

Answer:

8

Step-by-step explanation:

line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye

Which graphs of ordered pairs represent functions?

Answers

Answer:

I thin its b.

Step-by-step explanation:

What is greater than 0.58 and less than 0.6

Answers

Answer:

0.59 im assuming

Step-by-step explanation:

Answer:

0.6=3/5

Step-by-step explanation:

Find the slope of 3y = 6x + 4

Answers

Answer:
The slope or m is 2

Explanation:
The full answer is y = 2x + 4/3

Slope being 2 as y = mx + b

And the slope is m

In a scale drawing, Matt's dining room measures 6 inches long by 4 inches wide. The actual length of the dining room is 12 feet. What is the actual width of the dining room?

Answers

Answer:

8

Step-by-step explanation:

make a ratio

length of scale/width of scale=length of real/width of real

6/4=12/x

x=8

Hope that helps :)

Find the volume of a cone with a base diameter of 10 cm and a height of 9 cm

Answers

Answer:

235.71cm^2

Step-by-step explanation:

Volume of cone = 1/3 pie r^2 h

1/3*22/7*5*5*9

= 235.71cm^2

Volume of a cone is 235.6 cm³.

Why is the volume of a cone?The volume of a cone with height h and radius r is 1/3πr2h, which is exactly one third the volume of the smallest cylinder that it fits inside. This can be proved easily by considering a cone as a solid of revolution, but I would like to know if it can be proved or at least visual demonstrated without using calculus.  

The volume of a cone is calculated the using the formula:

[tex]V = \frac{1}{3} \pi r^{3} h[/tex]

Given,

         height of the cylinder is, h=9cm.

         The diameter of the base is 10cm. r = 5 cm

    put the values into the formula to get -

          V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]

         [tex]V = 75 \pi[/tex]

Put value of π = 3. 14 ,

          V = 75 * 3.14

           V =  235.6 cm³

Therefore, Volume of a cone is 235.6 cm³.

Learn more about Volume of a cone  brainly.com/question/1578538

#SPJ2

Which ordered pair is a solution to the system

Answers

Answer:

I think it might be this one(-2,0)

i believe the answer is either one or third option. good luck.

Which statement is true about angle DCB and angle ACF

Answers

Answer: C. They are complementary but not necessarily congruent.

Answer: they are complementary but not necessarily congruent

Step-by-step explanation:

Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explain. (show your work).

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

We can use the values ...

  (x1, y1) = (1, -19)

  (x2, y2) = (-2, -7)

Putting these into the formula gives ...

  m = (-7 -(-19))/(-2 -1) = 12/-3 = -4

The slope is -4, not -1/4. Mark is incorrect.

Evaluate the expression below when x = 2 and z = 12. z + 5x^3

Answers

Answer:

52

Step-by-step explanation:

z + 5x ^3

12 + 5*(2^3)

12 + 5 * 8

12 + 40

52

If f(x)= 2(3 to the power of x) +1 what is the value of f(2)

Answers

Answer:

19

Step-by-step explanation:

f(x)= 2(3^x) + 1

f(2)= 2(3^2) + 1

= 2(9) + 1

= 18 + 1

= 19

MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.

Answers

E = 10 * m
(E/10) = m
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