A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27

Answers

Answer 1

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

4c+5 = 27

4c + 5- 5 = 27-5

4c = 22

c = 22/4

c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.


Related Questions

Solve: 3(g − 2) = 8

Answers

Answer:

g=4⅔

Step-by-step explanation:

3(g - 2)=8

3g -6 = 8

3g= 8+6

3g= 14

[tex] \frac{3g}{3} = \frac{14}{3} [/tex]

g=4⅔

hope this helps

Step-by-step explanation:

3(g - 2) = 8

3(g - 2) = 8

+ 2 +2

3g = 8

3÷3= 0 8÷3 = 4.6

so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3


Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. How
much will they pay in interest?

Answers

Answer:

$ 9698 will be paid paid in interest.            hope this helps.

Step-by-step explanation:

interest= prn/100

i= 21254x9x5.07/100

i= $ 9698.2

Apply a 90 degree rotation to the point (1, 2)

Answers

Answer:

(-1,2)

Step-by-step explanation:

90 degree rotation from (a,b) is (-a,b)

Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP

Answers

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

So, the required constraint is

[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]

Answers anyone???
Hurry

Answers

Answer:

Its called math

Step-by-step explanation:

X^2+ 17x+91=0
Help please!!

Answers

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

helpppp quickkkkkkkkk

Answers

same side interior angles

Answer:

your answer is the last on the bottom

help x/8 = 8/64

x=

Answers

Answer:

x=1

Step-by-step explanation:

x=1

1/8

multiply the denominator and numerator by 8, and it will match 8/64

x=1

1/8

It would match 8/64

Pleaseeee help !!! I don’t under stand this

Answers

Answer:

first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt

is 10.50$

3/4 change 3/4 to a decimal show work

Answers

Answer:

0.75

Step-by-step explanation:

You just need to convert 3/4 into a decimal.

For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.

3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,

3/4 = 0.75

A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?

Answers

The tip amount is $18. The total bill would be $138

I will give brainlest if the answer is right Enter the missing numbers in the boxes to complete the table of equivalent ratios.

Answers

Answer:

2 , 10 , and 15 in order of missing spaces, up to down

Step-by-step explanation:

You find the ration 8/20 and find out if the ration is simplifiable and turn it to 2/5 which you multiply the rest of the answers too. Hope this answers your question :)

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458

Answers

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

3x-100 what does x equal?

Answers

Yes it’s 33.33 repeating

What is the solution to 8x - 3(2x - 4) = 3x - 18?

Answers

Answer:

X=30

Step-by-step explanation:

The answer is X=30

IF YOU KNKW WHAT THE ANSWER IS PLEASE HELP ME

Answers

Answer:

exponential

Step-by-step explanation:

This function can be expressed as 125*3^x, where x is the number of hours passed.

Since linear equations are expressed as mx+b, quadratics are expressed as ax^2+bx+c, and exponential functions are expressed as ab^x, only the exponential function would be a valid answer.

A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.

Answers

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth?

Answers

Answer: 5.9

9.94 rounded to the nearest tenth is 5.9

Plz mark brainliest:)

do you guys know this by any chance

Answers

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units​

Answers

Answer:

V= 5 X=6

Step-by-step explanation:

can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

slope=(9-7)÷(3-2)

slope= 2.

Enter the correct answer in the box by replacing the values of m and b.

Answers

Answer:

f(x) = -2x + 5  Plato

Step-by-step explanation:


A 20 gallon tank is full. How many gallons are in the tank?

Answers

Answer:

20???

Step-by-step explanation:

20 gallons because it is full and the most that can be filled up is 20 gallons

HELP PLEASE HS GEOMETRY 50 POINTS!!!!!

Answers

Answer: 1,6,3,8

Step-by-step explanation: that one, and its opposite and the other one is the same

Answer:

1, 3, and 8

Step-by-step explanation:

You should know this because, 88 degrees and 2 are in a straight line which there means that 2 would be 92 degrees. So every length would be slightly shorter or longer than the other. As you can observe 1, 3, and 8 other than 6 are all the ones that are slightly shorter than their counterpart 2, 4, 5, and 7. Which means that 1, 3, and 8 all equal 88 degrees just like 6.

Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)

Answers

Answer:

Your answer is: y = 1/3x + 3

Use the formula y = mx + b

Step-by-step explanation:

Hope this helped : )

¡¡ANSWER MY QUESTION FIRST¡¡

Can you help me with these questions, please?

Answers

Answer:

∠5 = 70°

∠8 = 130°

Step-by-step explanation:

Since ∠5 and ∠1 are equal they will both equal 70°

Since ∠6 and ∠8 are also equal they will both equal 130°

Hope this helps

Plz mark brainliest

How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,

Answers

The lines are perpendicular

The lines KL and MN perpendicular to each other.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

If a line passes through two points, then the slope of the line is

m = y2-y1/x2-x1

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

m = 0

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

m = 1/0

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other.

Therefore the lines KL and MN perpendicular to each other.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"

Answers

Answer:

Let x be that number.

[tex] - 8 \div (x + 3)[/tex]

The quotient is the result of dividing a number by another. In this case, the numbers are - 8 and x + 3.

22+54=y+16 whats the answer

Answers

Answer:

y=60 or 60=y

Step-by-step explanation:

22+54= 76

76=y+16

60=y or the other way around

Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)

Answers

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

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