Question 1 of 20 :
Select the best answer for the question.
1. What is 7/4 as a mixed number?
A. 13/
B.314
c. 17/4.
D. 11/4
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Answers

Answer 1

Answer:  1 & 3/4

We can write this as [tex]1 \frac{3}{4}[/tex]

============================================

Explanation

Consider this: You have 7 donuts and 4 friends you want to split the donuts with. The question is, how many donuts does each of your friends get?

The number 7 isn't a multiple of 4, meaning 7/4 won't result in a whole number. If you had one more donut, then 8/4 = 2 is a whole number. So that must mean everyone only gets one whole donut plus some leftover amount.

If those 4 friends get 1 whole donut each, then 4*1 = 4 donuts are passed out and 7-4 = 3 are left over. The "1" forms the whole part of the mixed number, while the '3' is the numerator of the fraction. The denominator stays the same at 4.

So we go from the improper fraction 7/4 to the mixed number 1 & 3/4. Each person gets 1 whole donut and then 3/4 of a whole donut

------------

We can write the mixed number 1 & 3/4 as [tex]1 \frac{3}{4}[/tex]. Keep in mind that this expression does not mean 1 times 3/4. Instead, it really is saying 1 + (3/4).


Related Questions

Find the volume of the pyramid. v=

Answers

Answer:

240 mi^3

Step-by-step explanation:

Base area = length x width = 10 x 8 = 80 mi^2

V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3

5) Find the measure of the unknown
angle in the triangle
O 100°
O 105
106
0 112
PLEASE HELP

Answers

105 degree , I think but not sure
106
explanation: triangles add up to 180 degrees. in the triangle above, the angles only add up to 74. 180-74=106

Find dy/dx if f(x) = x²+9²​

Answers

Answer:

let y=x²+9²

dy/dx=dx²/dx+d9²/dx

=[tex]2 x^{2-1}+0[/tex]

=2x is a required answer.

Solve for x.
4x - 14
x + 85
x = [?]

Answers

Answer:

x = 33

Step-by-step explanation:

4x - 14  = x + 85

3x = 99

x = 99/3

x = 33

Determine the rate of change of the function given by the table.
A) 2
B) 1
C) -1
D) -2

Answers

Hi! The answer is A.
All i did was

5-3=2
6-4=2
7-5=2
8-6=2

They all equal to 2 so the answer is 2 :)

Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches

Answers

Answer:

D. 3120

Step-by-step explanation:

How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.

For Part B:  Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?

Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.

What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!

8*13=104

6(104)=624

624+240=864

write and solve proportion answer the question.

25%of what number w is 9

□= 25
100

w= □​

Answers

Answer:

Answer is 36.

You can simply get this by writing and expression for it

25/100 x w=9

25w/100=9

w= 9x100/25

w=36.

Answer:

36

Step-by-step explanation:

9/w=25/100

cross multiplication:

9*100=25w

900=25w

900=25w / 25

36=w

Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours

Answers

Answer:

7 hours

Step-by-step explanation:

15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.

Answer: 7 hours

Step-by-step explanation:

She earns 5 dollars per hour because 5x3=15

and then you do 15x2=30

then 3x2=6

then just add 1 to 6

6+1=7

so there's your answer

7 hours

An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?

Answers

9514 1404 393

Answer:

  $1200.00

Step-by-step explanation:

The balance is given by the formula ...

  A = Pe^(rt) . . . . . principal P invested at annual rate r for t years

Using your numbers, we can find P to be ...

  P = Ae^(-rt) = $1720·e^(-0.045·8) = $1720·e^-0.36

  P ≈ $1200.00

Please show steps, 100 points and Brainliest
Convert vertex form f(x)=(x+2)^2-25 to factored form.

Answers

Answer:

f(x)=x^2+4x-21

Step-by-step explanation:

Answer:

f(x) = (x + 7)  (x - 3)

Step-by-step explanation:

f(x)=(x+[tex]2)^{2}[/tex]-25

(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2

now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in

(x+2)^2 to add for the answer = -25

Please solve!
l = 48.1 m, w = 51.62 m, h = 3.42 m

Answers

Answer:

Volume? Surface area?

Step-by-step explanation:

Volume=8491.59

Surface area=5647.93

Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?

Answers

Answer:

c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.

Step-by-step explanation:

the anwser

0.5 mg/mL = ___________ mcg/mL

Answers

Answer: 500 mcg/mL

Step-by-step explanation: 0.5 mg/mL = ___________ mcg/mL

0.5 mg/mL(1000)

500 mcg/mL

Answer:

500 mcg / mL

Step-by-step explanation:

this is the ansa when u do 0.5 mg/mL = ___________ mcg/mL

find 11/25 of a liter

Answers

Answer:

0.44l

Step-by-step explanation:

a litre=1l

11/25 of it=11/25×1l

=0.44l

Answer:

A litre=1 l

Or, 1/25×1

=0.44.

Does anyone know how to
Solve this

Answers

Answer:

53.4 cm^2

Step-by-step explanation:

rhombus's have the same formula as a square (B*H)

8.9*6 = 53.4 cm^2

if x=-4 and y=3 what is the value of x-3y^2

a: -13
b: -31
c: -23
d: -85​

Answers

Answer:

b -31

Step-by-step explanation:

Step-by-step explanation:

x-3y²4-3×3²4-27-23

hope it helps

stay safe healthy and happy..

Rob can complete his bus route in 4 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.

Answers

Answer:

3:00 pm

Step-by-step explanation:

Given

[tex]Rob = 4\ hrs[/tex]

[tex]Joan = 3\ hrs[/tex]

[tex]Start\ Time = 3:00\ am[/tex]

Required

The next time they leave at the same time

To do this, we first list out the multiples of 4 and 3 (i.e. their time of completing each route)

So, we have:

[tex]Rob: 4, 8, 12, 16, 20...[/tex]

[tex]Joan: 3,6,9,12,15,18....[/tex]

The least common multiple in the above is:

[tex]Least = 12hrs[/tex]

This means that they will meet at the terminal after 12 hours

So, their meeting time is:

[tex]Time = 3:00am + 12\ hrs[/tex]

[tex]Time = 3:00\ pm[/tex]

solve this: - 6 n = 30​

Answers

Answer:

-6n=30

so find value of n

n=30÷(-6)

n=-5

so, value of n = -5

Answer:

-6 n = 30

or,n=30÷(-6)

or,n=-5

solve these equations, show all your work x/2=20

Answers

Answer:

x = 40

Step-by-step explanation:

x/2 = 20

x/2(2) = 20(2)

x = 40

¿Existen o no existen los números?.

Answers

si existen pero que tipo de números? porque si existen

Which Which value of x makes this equation true? -3x+10=5x-8

value of x makes this equation true? -3x+10=5x-8

Answers

Answer:

9/4

Step-by-step explanation:

-3x+10=5x-8

or, -3x-5x = -8-10

or, -8x=-18

or, 8x=18 (i.e. - is cancelled)

or, x=18/8

i.e. x=9/4

Hence, the value of x is 9/4

Answer:

The value of x is 9/4

Step-by-step explanation:

-3x+ 10 = 5x - 8

Add 3x both side

-3x + 3x + 10 = 5x + 3x - 8

10 = 8x - 8

Now, Add 8 both side

10 + 8 = 8x - 8 + 8

18 = 8x

8x = 18

Now, Divide by 8 from both side

8x/8 = 18/8

x = 9/4

Thus, The value of x is 9/4

FOR VERIFICATION ONLY:

-3x + 10 = 5x - 8

-3(9/4) + 10 = 5(9/4) - 8

-27/4 + 10 = 45/4 - 8

-27 + 4 × 10/4 = 45 - 8 × 4/4

-27 + 40/4 = 45 - 32/4

13/4 = 13/4

Hence, L.HS = R.H.S

-TheUnknownScientist

12. Which statement best describes the effects on the graph of f(x) = log2 xwhen f(x) is replaced by
f(x-2) + 1?
a. The graph is vertically stretched by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
b. The graph is vertically compressed by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
c. The graph is horizontally stretched by a factor of 3, horizontally translated 2 units left, and
vertically translated 1 unit up
d. The graph is vertically compressed by a factor of , vertically translated 2 units down, and
horizontally translated 1 unit left.

Answers

Answer:

B.

Step-by-step explanation:

Hope it helps thx

#CARRYONLEARNING!

In the following table y is proportional to x.



What is the constant of proportionality?


A. 5/14


B. 5/7


C. 7/5


D.20/7

Answers

D there’s a 20 and a 20 is missing
D ggccccccccccvccccccccc

help please i cant do this LOL

Answers

Answer and Step-by-step explanation:

Answer is in picture.

First you need to translate (or move) to the right 1 unit, the translate (or move) downwards 5 units.

Then, reflect the points over the y-axis (reflecting is like when you see your reflection in a mirror, how your hand lines up with the hand in the mirror)

#teamtrees #PAW (Plant And Water)

I need the answer fast pls

Answers

Answer:

B

Step-by-step explanation:

It's B because that's the only answer that talks about the highest temperature, which is mentioned in the question

The answer is B




Hope this helps

what shapes have 2 pairs of parallel sides? Choose all that arw correct.​

Answers

Answer:

can we see the options please

square, rectangular, rhombus

The length of one rectangle in a quilt is 6 inches. Its width is 3 inches. About how many of these rectangles do you need to cover an area of 7,500 square inches?

Answers

Step-by-step explanation:

Area=2(L+W)

A=2(6+3)

A=2(9)

A=18in²

therefore, 7500/18

=416.66in²

hi what is the answerr??

Answers

Given:

The rule of input and output function is:

[tex]25-g[/tex]

To find:

The answer if we put 19.

Solution:

Consider the input and output function is:

[tex]f(g)=25-g[/tex]

Substitute [tex]g=19[/tex], we get

[tex]f(19)=25-19[/tex]

[tex]f(19)=6[/tex]

Therefore, the required answer is 6.

A pollster believes that 20% of the voters in a certain area favor a bond issue. If 49 voters are randomly sampled from the large number of voters in this area, approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08. (Round your answer to four decimal places.)

Answers

Answer:

The probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08 is 0.7698

Step-by-step explanation:

Given  

n = 64

p = 0.20

X/n -p < 0.06

x-np <0.06n

x-np <0.06 * 64  

x-np <3.84

Z score  

= (x-np)/sqrt (np(1-p))

= -3.84/ sqrt (64*0.20*0.80)

= -1.20

P (x/n-p<0.06) = P(-1.2<z<1.20) = 1-2*0.1151 = 0.7698

What is the total volume of this composite shape? Round your answer to the nearest tenth.

Answers

The answer is 240in^2
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