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GarryVolchara [31]
2 years ago
10

A box of cereal states that there are 99 calories in a 3/4 cup serving. What is the unit rate for calories per cup? How many cal

ories in 4 cups of cereal
Mathematics
2 answers:
sergejj [24]2 years ago
4 0
Divide 99 calories by 4, then multiply that amount by 3 to get 132 calories. So per cup, there are 132 calories. Multiply 132 by 4 and you should get your answer which is 528.
galben [10]2 years ago
3 0

Answer:

Hello There!

According to the question,

It is said that we have to find calories in 4 cups.

First we have to find in each cup.

So

\frac{3}{4} \times x = 99 \\ \\  so \: x = 99 \times  \frac{4}{3}  \\  \\

simplify 99 and 3 then it will look like

33 \times  \frac{4}{1}

1 has no value so 33×4=132 calories

Now it is in each cup or 1 cup.

To find in 4 cups, multiply 132×4

132 \times 4 = 528

So 528 calories is the answer.

\Large\textsf{Hope \: It \: Helped}

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I need help on this loll
Serhud [2]

Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

3 0
3 years ago
I. Tell whether each statement is TRUE or FALSE. Refer to the figure below. Write your answer on the space provided.
Vika [28.1K]

Answer:

1. TRUE

2. TRUE

3. TRUE

4. TRUE

5. FALSE

6. TRUE

Step-by-step explanation:

1. From the diagram, we have that m∠2 and m∠7 are alternate interior angles

If m∠2 = 70° and m∠7 = 70°, then we have;

m∠2 = 70° = m∠7

m∠2 = m∠7

Therefore, the alternate interior angles of the lines l₁, and l₂ are equal, and therefore, the lines l₁ and l₂ are parallel, l₁ ║ l₂

TRUE

2. If m∠3 = 90° and m∠7 = 90°, therefore, the angle formed by the intersection of l₃ and l₂ = 90°

Therefore l₃ ⊥ l₂

TRUE

3. m∠5 and m∠7 are corresponding angles

If m∠5 = 85° and m∠7 = 85°, then, m∠5 = m∠7

Therefore, the corresponding angles formed by the lines l₁ and l₂ are equal, therefore;

l₁ ║ l₂

TRUE

4. Whereby we have, m∠1 = m∠5, we get;

m∠1 + m∠5 = 180° by sum of angles on a straight line

∴ m∠1 + m∠5 = m∠1 + m∠1 = 2·m∠1 = 180°

m∠1 = 180°/2 = 90°

∴ m∠1 = 90° = m∠5, and l₃ ⊥ l₁

TRUE

5. m∠1 and m∠8 are alternate exterior angles

If m∠1 = 98° and m∠8 = 82°

∴ m∠1 ≠ m∠8 and l₁ ∦ l₈

FALSE

6. Given that l₁║ l₂, then the angle formed between l₁ and l₃ will be equal to th angle formed between l₂ and l₃

Therefore;

If l₁║ l₂, and l₃ ⊥ l₁, then l₃ ⊥ l₂

(If l₁║ l₂, and l₃ is perpendicular to l₁, then l₃ is also perpendicular to l₂)

TRUE

3 0
2 years ago
Find the greates common factor of the following monomials:2r^4s^2 and 36r^4s^3
ki77a [65]

The greatest common factor is 2r^{4} s^{2}


This is because we start by taking the largest factor that goes into both coefficients. Since the first coefficient is 2, we have to try 2 and 1. Since 2 is larger and goes into 36 evenly, we use that.


Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.

6 0
3 years ago
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu
Pavlova-9 [17]

Answer:

Mean = 3.4

Variance = 1.088

Standard deviation = 1.0431

Step-by-step explanation:

P=0.68\\ \\N=5

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is m=N\cdot p

Thus,

m=5\cdot 0.68=3.4

The variance of the binomial distribution is s^2=Np(1-p), where s^2​​ is the variance of the binomial distribution, so

s^2=5\cdot 0.68\cdot (1-0.68)=3.4\cdot 0.32=1.088

The standard deviation s is the square root of the variance s^2, so

s=\sqrt{1.088}\approx 1.0431

3 0
3 years ago
A number that is 7 more than 3 times x
klio [65]
Not sure what the question is but 3x + 7 is the algebraic expression that would represent this statement.
6 0
2 years ago
Read 2 more answers
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