16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories

Answers

Answer 1

Answer:

d. 165 calories

Step-by-step explanation:

First of all, we would find the amount of calories in 1 gram of the artificial sweetener

1 gram = 220/75

1 gram = 2.93 calories

Therefore, 484 grams has;

484 * 2.93 = 165.2

Approximately, this is equal to 165 calories.

Method 2

220 grams of the artificial sweetener has 75 calories.

484 grams of the artificial sweetener has x calories.

Translating the word problem into an algebraic equation, we have;

220 = 75

484 = x

Cross-multiplying, we have;

220x = 75*484

220x = 36300

x = 36300/220

x = 165 calories.


Related Questions

C
Kris is cutting ribbon that each measure 2 ft
long. If Kris is cutting from a piece that measures
8zft
, how many pieces can Kris cut?

Answers

Answer:

4

Step-by-step explanation:

because 2+2+2+2=8 pretty self explanatory

Answer:

13

Step-by-step explanation:

y= -2x+8
what is the value of y when 0 is the value of x?

Answers

Value of y is 8 because if x is zero than zero times anything is zero and you have 8 left over

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form

Answers

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5

Answers

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

Calculator
2.25
What is the value of x?
D
3
Enter your answer in the box.
с
4
B
X =

Answers

3 should be it......

what kind of graph is this?

Answers

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

LinearQuadraticExponentialCubicSquare rootCube root

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Order these numbers least to greatest 5/3,1,12/6

Answers

Answer:

1,5/3,3 that the answers

Use this picture and help please

Answers

65 degrees because then it adds to 180 degrees

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?

Answers

Answer:

1.11

Step-by-step explanation:

you will end up at (3,9)

write the equation of the line in standard form passing through (2,-4) with a slope of -7​

Answers

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

HELP ME PLEASEEEEEESS

Answers

Answer:

b

Step-by-step explanation:

How do you do these two questions?

Answers

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

2 units
6 units
Square root of 12 units
Square root of 20 units

Answers

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

The ______ identity is 1.

Answers

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen

Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54

Factor by Grouping
2y2 + 7yz + 5z2

Answers

Here you go! Hope this helps

Worth 75 points!! Need help with calculus

Answers

The correct answer is:

2u-v=7(5i-3j)

Therefore, 5, and 3 go inside the box.

13,84,85 are the last ones please help

Answers

Answer:

49,36,85

Step-by-step explanation:

c in step 4 comes from step 3... 49+36

a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36


Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?

Answers

Answer:

21 and 23

Step-by-step explanation:

Two integers are:

x  and x + 2

The equation and solution:

4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21

And

x + 2 = 23


0.5x = 3
What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:

0.5x=3

x=3/0.5 = 6

Answer:

x=6

Step-by-step explanation:

0.5x÷0.5=3÷0.5

x=3÷0.5

x=6

A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?

Answers

Answer: 325

Explanation:

Let the number of adult tickets be x

( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)

Let the number of student tickets be x+60

710=x+x+60

710=2x+60

 -60        -60

650=2x

650/2

= 325

Adult tickets=325

Student tickets=385

         

Write an equivalent addition expression to : -10 – (-4)

Answers

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D

9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)

Answers

Answer:

I the answer is number 3

x(x-7)+4(x-7)

x²-7x + 4x-28

=x²-3x-28

(x+4)(x-7)

x²-7x+4x-28

=x²-3x-28

(x-7)(x+4)

x²+4x-7x-28

=x²-3x-28

x2 – 3x – 28

the factored form is

=(x+4)(x-7)

Drag the phrases into the box to match each expression.

Answers

You need to show a picture

Answer:

theres no image

Step-by-step explanation:

A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.

Answers

Answer:

the answer would be 2,969 also i think the cost of tickets is pretty useless

Step-by-step explanation:

Answer:2,969

Step-by-step explanation:

Solve the following​

Answers

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?

Answers

Answer:12

Step-by-step explanation:

18/6=3 cups in each box

3*2=6 cups broke=2 boxes

18-6=12 cups are unbroken

Fred can paint a 30-foot fence in 5 hours. Which of the following is true?

Answers

Answer:

lol

Step-by-step explanation:

True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7

Answers

The following polynomial is not written in standard form so it is false
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