Mathematics Middle School

The four people at Carla's birthday will get one-quarter (one fourth) of the cake each. Carla puts 16 candies on the cake so that each person gets the same number on their piece of cake. How many candies will each person get on their piece of cake?

Question 4 options:

4


8


12


16

Answers

Answer 1
You would do 16 divided by 4 to get your answer. The answer is 4.
Answer 2
I agree. The answer is definitely four!

Related Questions

C+1/c-2 = 4/7 please show how you got the answer which is 5

Answers

Assuming the equation is (c+1)/(c-2) = 4/7, the answer is actually c = -5

(c+1)/(c-2) = 4/7
7*(c+1) = 4*(c-2) ... cross multiply
7c+7 = 4c-8
7c+7-7 = 4c-8-7 ... subtract 7 from both sides
7c = 4c-15
7c-4c = 4c-15-4c ... subtract 4c from both sides
3c = -15
3c/3 = -15/3 ... divide both sides by 3
c = -5

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

Check:

(c+1)/(c-2) = 4/7
(-5+1)/(-5-2) = 4/7 ... replace every copy of 'c' with '-5'
(-4)/(-7) = 4/7
4/7 = 4/7 .. true equation; answer checks out

So the answer of c = -5 has been confirmed.

A carton has a length of fraction 2 1/6 feet, width of fraction 1 and 1/5 and height of fraction 2 and 1/2 feet. What is the volume of the carton

Answers

he volume of the carton = length * width * height
                                       = 2 1/6 * 1 1/5 * 2 1/5    = 13/2 = 6 1/2 = 6.5 cubic feet


hope that helps

a whole number is a perfect square if its square root is an integer true or false

Answers

The answer is True because it has real numbers in it
True because it have real numbers

2/7 times 2/6 = what

Answers

4/7 or 0.571429 :) :)
2/7 x 2/6 = 4/42

simplified = 2/21

hope this helps

Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find the number of liters of 20% acid solution in the new mixture. Construct a table to organize the information, and show all of your work to solve the problem

Answers

(12(0.08)+x(0.2))/(12+x)=0.16  perform indicated multiplication on left side

(0.96+0.2x)/(12+x)=0.16  multiply both sides by (12+x)

0.96+0.2x=1.92+0.16x  subtract 0.16x from both sides

0.96+0.04x=1.92  subtract 0.96 from both sides

0.04x=0.96  divide both sides by 0.04

x=24

So 24 liters of 20% acid solution is in the new mixture.

If the width of a rectangle is x + 2 and the length is twice as long, what is the area?

Answers

[tex]A=(x+2)(2(x+2)=(x+2)(2x+4)=2x^2+4x+4x+8=\\ =x^2+8x+8[/tex]

Sydney applied the steps below to find the product of (3.1)(–1.6).

Step 1: (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = _______________
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96

Which expression correctly fills in the blank in Step 2?
(1.6)(3) – (1.6)(0.1)
(–1)(3) + (–0.6)(0.1)
(1)(3) – (0.6)(0.1)
(–1.6)(3) + (–1.6)(0.1

Answers

(-1.6)(3)+(-1.6)(0.1)

Answer with explanation:

We have to find the product of

⇒(3.1)× (-1.6)

 Step 1:→ (3.1)(–1.6) = (–1.6)(3.1)  

Step 2: = -1.6×(3 + 0.1)=(-1.6) ×3 + (-1.6)×(0.1)→→We have used Distributive property of addition with respect to Multiplication, which is , a × (b + c)=a×b + a × c

Step 3: = (–4.8) + (–0.16)

Step 4: = –4.96

The expression which correctly fills the blank is:

  Option D: →→ (–1.6)(3) + (–1.6)(0.1)

−5=−8−x What is x? Solve for x

Answers

Hello there!

-5 = -8 -x
First, we need to get x isolated (put on one side of the equation by itself), and then divide by -1 to get rid of the negative sign.
Add 8 to both sides.
-5 + 8 = 3
-8 + 8 = 0
You are left with:
-x = 3
Now, we must divide both sides by -1 to solve for x.
-x / -1 = x
3 / -1 = -3
You are now left with the following solution:
x = -3

I hope this helps!

Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?

1/2
1/3
3
2

Answers

1/3 because:

(1/3)(6, -3)=(2, -1)
The answer to this question is 1/3

Starting at home, Jessica traveled uphill to the grocery store for 18 minutes at just 20 mph. She then traveled back home along the same path downhill at a speed of 60 mph.

What is her average speed for the entire trip from home to the grocery store and back?

Answers

The average speed is 40 miles per hour.
Based on the formula [tex]distance = velocity*time[/tex] we can find the distance from the grocery store:

[tex]distance = velocity * time = 20mph * \frac{18}{60}hrs = 6 miles[/tex]

Based on this distance we can find the time it took her to get back using the formula [tex]time = \frac{distance}{velocity}: [/tex]

[tex]time = \frac{distance}{velocity} = \frac{6 miles}{60mph} = \frac{1}{10}hrs = 6 minutes[/tex]

After this you just take the average of Jessica going at 20 mph for 18 minutes and 60 mph for 6 minutes:

[tex]\frac{20mph * 18min + 60mph*6min}{24min} = 30mph[/tex]

:)


First right answer gets brain

Answers

The answer is C i think
The Answer would be A because the 3rd quadrant requires all points, or in this case, vertex coordinates to be negative (-x,-y). A is the only answer that has all vertex coordinates (-x,-y).

The diagram shows A's coordinates plotted out. You can confirm that the original and new, translated shape are congruent and in the 3rd quadrant.

Kevin had six nickels and 4 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin-- a) what is the probability that both coins were nickels. b) what is the probability that both coins were dimes. c) what is the probability that the first coin was a nickel and the second a dime

Answers

Alright so A is 6/10 * 5/9 = 1/3
B is 4/10 * 7/9 = 2/15
C is 6/10 * 4/9 = 4/15

I hope this helps


The weight of 10 identical samples of a substance is 0.01 pound what is the weight of 10,000 samples

Answers

We use ratios here.

For every 10 samples, the total weight is 0.01 lb.

We write 
10 / 0.01.

We want to find the weight of 10,000 samples.

We write
10,000/?

These two ratios must equal each other.

(10 / 0.01) = (10,000 / ?)

If you know how to cross-multiply, then we can do that here.
0.01 * 10000 = 10 * ?
100 = 10 * ?

The unknown value is 10, which is your answer.
Answer:

The weight of 10,000 samples is:

                    10 pounds.

Step-by-step explanation:

It is given that:

The weight of 10 identical samples of a substance is 0.01 pound.

i.e. 10 samples= 0.01 pound.

Now we are asked to find the weight of 10,000 samples.

Since,

10 samples= 0.01 pound.

1000×10 samples= 1000×0.01 pounds

i.e.

10000 samples= 10 pounds.

Hence, the answer is: 10 pounds.

The set of ordered pairs described in the table below can be described as which of the following?
x y
1 5
2 2
3 5




a relation only

a function only

both a relation and a function

neither a relation nor a function

Answers

The set of ordered pairs are both relation and function

It is a function because, for every value of x, there is one unique value of y

It is a 'relation' because there is a relation between two sets of values; set of x-values and set of y-values

A function is one example of a 'relation'. 

Find the perimeter of the following shape, rounded to the nearest tenth: Shape ABCD is shown. Point A is at -3,5. Point B is at 2,6. Point C is at 0, 2. Point D is at -5, 1.

Answers

By turning the points into triangles and using Pythagorean theorem you can solve for the lonest side(of the triangle) which is Equal to that side.
AB     [(3-2)^2]+[(6-1)^2]=square root of (1+25)=Square root of 26= 5.099
If you do this for all 4 sides and add them up you get the answer: 
P(perimeter)=19.1




Rewrite 256 in exponential form using 2 as the base

Answers

256=2^8
256 is 2^8
I hate this " at least 20 characters to explain" may be the answer doesn't need to be explained so much

An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side? x3 feet

Answers

In any case, divide by three: equilateral=same sides, triangle=3 sides
Let x represent one side of equilateral triangle.
Next, we know that the perimeter of the equilateral triangle= side+side+side,so
P=x+x+x with the P=15x^3+33x^5 feet
15x^3+33x^5=3x
Divided both side by 3
(15x^3+33x^5)/3=3x/3
x=5x^3+11x^5
x=x³(5+11x²) feet. As a result, the length of each side is x³(5+11x²) feet. Hope it help!

What is the answer to 6,007,200 in exspanded form

Answers

6,000,000 + 7,000+ 200    is your expanded form

hope this helps

The number 6,007,200 in expanded form is written as 6,000,000 + 7,000 + 200, breaking down the number by each digit's place value.

To write the number 6,007,200 in expanded form, we break it down based on the place value of each digit. Here is how you would write it:

Identify the value of each digit in the number.

Starting from the left, write each digit multiplied by its place value.

Add each of these values together.

Applying this to the number 6,007,200, we get:

6,000,000 (6 millions) + 7,000 (7 thousands) + 200 (2 hundreds)

Therefore, the expanded form of 6,007,200 is:

6,000,000 + 7,000 + 200

Find the area of the figure shown. Use 3.14 to approximate pi

Answers

alrighty

we gots 1/4 circle and paralellogram

area circle=pi times radius^2
area paralelogram=base times height


1/4 circle is
radius is 10 so
area part circle is 1/4 times pi times 10^2=100/4pi=25pi=78.5 m²

area paralllogram is
10 times 3 because 3 is height and 10 is base length or 30

30+78.5=108.5 m² is the area

Subtract.

14x-(6+7x)

(Simplify answer)

Answers

14x-(6+7x)
=14x-6-7x
=14x-7x-6
=(14x-7x)-6
=7x-6x
We can simplify an expression by distributing if needed and combing terms if needed.

In the expression 14x - 6 + 7x the terms 14x and 7x are like terms. Because they both have the same variable and are to the same power.

14x - 6 + 7x
21x - 6

So, 21x - 6 is the answer.

For which pair of numbers is the greatest common factor 8

Answers

the answer is at least 4 and 4

Elevator 1 moved up 15 feet from the ground level. Its position is labeled as +15. Elevator 2 moved down 6 feet from the ground level. Its position is labeled as _____. (Use the hyphen for negative such as -1)

Answers

The ground level is to be the zero level. When the elevator moves above the ground level, it is moving towards the positive integer and when the elevator moves below the ground level, it is moving towards the negative integer. 

Elevator 2 moved down 6 feet from the ground level hence its position is labelled as [tex]-6[/tex]

Answer:

-6

Step-by-step explanation:

LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL

Carina spent a total of $5.27 buying a pineapple for $3.40 and several pounds of tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.

Answers

okay so I'm going to set up a equation:

5.27= 3.40+ 0.85x, we have our total our price of one pineapple and our variable

next I isolate the variable:

5.27-3.40=0.85x

next:

1.87=0.85x

x= 2.2

she bought 2.2 pounds of tomatoes

Answer:

pretty sure its B.

Step-by-step explanation:


A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y) in dollars of different numbers of bottles of oil (x)

Brand A
Number of bottles (x).
2
3
4
5
Price (dollars) y
22
33
44
55

Brand B:
Y=17x

How many dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil?

Answers

the answer is 48 dollars more
Answer:

The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:

                        $   48

Step-by-step explanation:

Brand A--

Number of bottles (x)       Price (dollars) y

2                                                   22

3                                                   33

4                                                   44

5                                                   55

The function that represents the relation between the price of the bottles and the number of bottles is:

               y=11x

Brand B--

Also, the price of the bottles depending on the number of bottles is:

                 Y=17x  

According to Brand A the price of 8 bottles is:   y=11×8=$ 88

and according to Brand B the price of 8 bottles is: y=17×8= $ 136

Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:

       $ 136-$ 88

    = $ 48

Miguel typed 270 words in 6 minutes. His paper is 630 words. If he keeps typing at the same rate, in how many more minutes will Miguel finish typing his paper?

A. 8 minutes
B. 14 minutes
C. 16 minutes
D. 22 minutes

Answers

630-270 = 360 words remaining

Rate = 270words/6min=45wpm

Time left = 360words/45wpm = 8mins. 
270/6, 630/x
you just cross multiply
270x=6*630
x=6*630/270
x=14

an airplane is flying from montreal to vancouver. the wind is blowing from the west at 60km/h. the airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. what heading should the pilot take to compensate for the wind? what is the speed of the airplane relative to the ground?

Answers

Refer to the diagram shown below.

In order for the airplane to maintain a heading of 65° west of north,  it actually heads at (65° +x) west of north at a speed of 750 km/h, to compensate for the wind blowing from west t east at 60 km/h.

The actual speed of the airplane relative to the ground is V km/h.

From geometry, obtain the triangle shown.
The speed of 750 km/h is opposite an angle of 155°, and the unknown angle x is opposite the wind speed of 60 km/h.

From the Law of Sines, obtain
[tex] \frac{sin(x)}{60}= \frac{sin(155^{o}}{750} \\ sin(x)= (\frac{60}{750})sin(155^{o})=0.0338[/tex]
[tex]x=sin^{-1}0.0338=1.937^{o}[/tex]

The heading that the pilot should take is 65 + 1.937 = 66.94° west of north.

The third angle of the triangle is 180 - (155 + 1.937) = 23.063°.
Use the Law of Sines to calculate V.
[tex] \frac{V}{sin(23.063^{o})}= \frac{750}{sin(155^{o})} [/tex]
[tex]V=( \frac{sin(23.063)}{sin(155)} )750=695.21\,km/h[/tex]

Answer:
The pilot heads approximately 67° (nearest integer) west of north.
The speed of the airplane relative to ground is 695.2 km/h (nearest tenth)

What is the point-slope form of a line with slope -3 that contains the point (10,-1)?

Answers

The point slope form is y+1=-3(x-10).
-3x-y+29=0  The point (10,-0) is (h,k) to set up the problem it will be y-h=m(x-k)
while m is the slope and then you just simplify.

Help pleasee i am beggin

Answers

There are infinitely many solutions
I believe that there are infinite.

A man owned 5/8 of an interest in a house. He sold 1/5 of his interest, at a cost for $1000. What is the total value of the house? Explain how u solved it.

Answers

First you would have to find a common denominator with 1/5 and 5/8, which would be 40. So, they would now be 8/40 and 25/40. If 8/40 is $1,000, then you need to figure out how many 8/40 you need to get 40/40. You need 5 8/40, so you multiply $1,000 by 5 to get $5,000, which is the answer.

What is the relationship between 8.76 x 10^6 and 8.76 x 10^2

Answers

8.76×10^6 is 35340.4 and 8.76×10^2 is 647.3.

Hope this helps.
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