Question Three

A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien

joja [24]

Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. c = 5.5

Step-by-step explanation:

We are given the equation:

$4c + 5 = 27$

Where $c$ represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 $\neq RHS\ i.e.\ 27$

4 \times 3 + 5 = 17 $\neq RHS\ i.e.\ 27$

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

$4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}$

So, solution to the equation is: c = 5.5

8 0

2 years ago

Round to estimate the quotient 199,988 ÷17

Likurg_2 [28]

Answer:

11764

Step-by-step explanation:

199,988 ÷17 = 11764

5 0

2 years ago

The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is

Neko [114]

Only one.
it has a long proof.

3 0

2 years ago

Read 2 more answers

The fish population is growing 3 % each year in a local lake. The function to model this is A = A (1 + r)' where A is the ending

Schach [20]

Answer:

that all persons held as slaves" within the rebellious states "are, and henceforward shall be free."

7 0

1 year ago

A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

+

$0.2A + 0.7B = 10.5$

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

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

$21 + B = 30$

$B = 9\ gallons$

3 0

2 years ago