A box of cereal states that there are 87 calories in a 3 4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Answer:

4/27=14.8%

Step-by-step explanation:

In order to solve this, we have to see first each option possible, there are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

In order to calculate if this could happen at random we have to multiply all of the odds:

[tex]Probability: \frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\Probability: \frac{2*2*1}{3*3*3} \\Probability: \frac{4}{27}[/tex]

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

There are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

We need to now multiply the odds:

2/3x2/3x1/3

2x2x1/3x3x3

4/27

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

So now we know it is, %15 rounded but 14.8% not rounded.

Answer:

your answer will be A'B'/AB=3/1=3

Step-by-step explanation:

i hope this helps you

Answer:

3 is the correct answer......

Answer: R = √(3*r^2)

Step-by-step explanation:

For a cylinder with radius r and height H, the volume is:

V = pi*r^2*H

For a cone of height H, and with a base of radius R, the volume is:

V = (1/3)*pi*R^2*H

In this case, we know that both figures have the same height, and the same volume, then we can write:

pi*r^2*H = (1/3)*pi*R^2*H

Now we can divide by pi in both sides to get:

(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi

r^2*H = (1/3)*R^2*H

Now we can divide both sides by H:

(r^2*H)/H = ((1/3)*R^2*H)/H

r^2 = (1/3)*R^2

Now we want to write R in terms of r.

Then we need to isolate R in the above equation:

r^2 = (1/3)*R^2

3*r^2 = R^2

√(3*r^2) = R

R = √(3*r^2)

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

Answer:

$16.20

Step-by-step explanation:

Bill: $54.00

Tip: 20%

People: 4

To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40

10%: $5.40

5.40 times 2 = $10.80

54.00 + 10.80 = 64.80

Grand Total= $64.80

Since there are 4 people, we need to divide by 4:

64.80 divided by 4 = $16.20

Answer:

0.80p

Step-by-step explanation:

sale price = p - (20% of p)

= p - 0.20p

= 0.80p

Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.

Answer:

negative 7 is first then comes 2.  negative 9 is first then comes 8.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

Answer:

31.6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

These are vertical angles, so both equal 51 degrees. To solve for x, solve the equation (9x + 6) = 51. 51 - 6 is 45. 45 divided by 9 is 5. So x = 5.

Hope it helps!

Answer:

a 35

Step-by-step explanation:

Answer:

x is less than or equal to 3

Step-by-step explanation:

The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.

Answer:

16/15 or 1  1/15

Step-by-step explanation:

4/5 divided by 3/4

Flip 3/4 so it is 4/3

Multiply 4/5 by 4/3

16/15

Answer:

C. Lines with arrows that point outward radiate from the charge in all

directions.

The statement which best describes the electric field around a positive charge is  Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

The four options

Now,

This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.

Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

answer is 3 3/20

Chance of success

0.03841 or 3.84%

Step-by-step explanation:

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Answer:

A

Step-by-step explanation:

FV=PV(1+i)^t

2500(1+.03)^4

A

Answer:

A

Step-by-step explanation:

It is the only one that shows 3% = 0.03 which is correct.

Answer:

a. 5ab                  b. 11x+15y

Answer:

a. 5ab

b. 11x+5y

Step-by-step explanation:

12ab-7ab they have the same variables, so you can just subtract

19x+5y-8x just rearrange it to 19x-8x+5y and subtract 19x and 8x

Answer:

x = (2√6)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = x

Adjacent = √2

Thus, applying trigonometric ratio, we have:

Cos(30) = adj/hyp = √2/x

x*cos(30) = √2

x = √2/cos(30)

x = √2/(√3/2) (cos 30 = √3/2)

x = √2 × 2/√3

x = (2√2)/√3

Rationalize

x = (2√2 × √3)/(√3 × √3)

x = (2√6)/3

Answer:

67°

Step-by-step explanation:

Corresponding angles are equal in parallel lines.

Here, ∠acb and ∠aed are corresponding angles for lines bc and de

hence ∠aed = ∠acb = 39

in triangle ade,

x + 74 + 39 = 180 (angle sum property of a triangle)

x = 67°

Answer:39/50

Step-by-step explanation:

Answer: 9/56

Step-by-step explanation:

Answer:

$7700

Step-by-step explanation:

As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700

$5000 initial + $2700 interest = $7700

EDIT:

It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.

6% interest is $300 per year

$300÷12= $25 per month

$25 x 9 months = $225

$5000 initial plus $225 interest = $5225 total

Answer:

B

Step-by-step explanation:

6 miles............