One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat. The equation 4p + 9f = 60 represents the relationship between these quantities. If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.

Answers

Answer 1

Answer:

1.5 grams of protein.

Step-by-step explanation:

The equation that represents the relationship between protein and fat is as follows :

4p + 9f = 60 ....(1)

We need to find the grams of protein are there if there are 6 grams of fat in the snack.

Put f = 6 in the above equation (1).

4p + 9(6)= 60

4p + 54 = 60

Subtract 54 to the both sides,

4p + 54-54 = 60-54

4p = 6

p = 1.5 grams

It means the snack contains 1.5 grams of protein.


Related Questions

TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU

Answers

Answer:

m∠STU is 20°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle

∵ Ray TV bisects ∠STU

→ That means it divides it into two angles STV and UTV

m∠STV = m∠UTV = [tex]\frac{1}{2}[/tex] m∠STU

∵ m∠STV = ([tex]\frac{1}{4}[/tex]x + 8)°

∴ m∠UTV = (x + 2)°

→ Equate them

x + 2 = [tex]\frac{1}{4}[/tex]x + 8

→ Subtract 2 from both sides

∴ x + 2 - 2 =  [tex]\frac{1}{4}[/tex]x + 8 - 2

∴ x =  [tex]\frac{1}{4}[/tex]x + 6

→ Subtract  [tex]\frac{1}{4}[/tex]x from both sides

∴ x -  [tex]\frac{1}{4}[/tex]x =  [tex]\frac{1}{4}[/tex]x -  [tex]\frac{1}{4}[/tex]x + 6

∴  [tex]\frac{3}{4}[/tex]x = 6

→ Divide both sides by  [tex]\frac{3}{4}[/tex] to find x

x = 8

→ Substitute the value of x in the measure of any given angle

m∠UTV = 8 + 2 = 10°

∵ m∠UTV =  [tex]\frac{1}{2}[/tex] m∠STU

∴ 10° =  [tex]\frac{1}{2}[/tex] m∠STU

→ Multiply both sides by 2

∴ 20° = m∠STU

The measure of angle STU is 20°

Maria's dinner bill is $21.89 after tax. If she wants to leave a15% tip, what will the total cost of the dinner be?a. $24.22b. $3.28c. $18.61d. $25.17

Pls answer quick!

Answers

Answer:

d

Step-by-step explanation:

Which of the following choices is NOT GEOMETRIC SEQUENCE.

a.
2, -4, 8, . . .


b.
8, 2, 0.5, . . .


c.
1/2, 1/6, 1/18, . . .


d.
-7, -2, 3, . . .​

Answers

B is not a geometric sequence


ASAP!!! GOD BLESS u

Answers

Answer:6 and 2

Step-by-step explanation:

Answer:

The answer is 6 by 2

Step-by-step explanation:

The perimiter is the total of the sides. So, you have to find out the values of the sides of the rectangle using the number 16. Its a rectangle, and the are is 12. So, you can find that it is 6 & 2.

he statement “Angles that measure more than 50 degrees are obtuse angles” has a counterexample.

Answers

For example, a 60 degree angle is still acute because the true definition of an obtuse angle is one with more than 90 degrees.

Choose Yes or No to tell if the number 80 will make each equation true.
320 ÷ □ = 40
Choose...


4,800 ÷ □ = 60
Choose...


7,200 ÷ □ = 900
Choose...


16,000 ÷ □ = 200
Choose...

Answers

Answer:

No : 8

Yes : 80

No : 8

Yes : 80

Answer:  

Only the second and the fourth option that is true

Step-by-step explanation:

The ratio of trucks to cars on a freeway is 5 to 8 if there are 440 carson the freeway how many trucks are there?

Answers

There are 275 trucks!

440/8=55
55x5=275

Hope this helped! Have a nice day :)

-1/8 - 0.356 find the sum of this equation

Answers

-0.481 :)

Step-by-step explanation:


Tory and her friend Terrence ride their bikes to school each day. On one particular day, Tory started out 5 minutes before Terrence. Tory rides at a rate of 880 feet per minute and Terrence rides at a rate of 1.056 feet per minut
How long had Tory been riding when Terrence caught up with her?

Answers

Answer:

4:30 minutes im thinking

Step-by-step explanation:

The value is  30 minutes. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression.

What is meant by expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The expression that give us the distance that Tory has ride after t minutes is:

D = 880t

Because Tory rides at 880 feet per minute.

At the same way, the distance that Terrence has ride after t minutes is equal to:

D = 1056(t - 5)

Because Terrence rides at 1056 feet per minute and he starts out 5 minutes after Tory

Now, we need to find t when both expressions are equal, so we can formulate the following equation:

[tex]880t=1056(t-5)[/tex]

So, solving for t, we get:

[tex]880t=1056t - 1056.5[/tex]

[tex]880t=1056t - 5280[/tex]

[tex]880t=1056t =-5280[/tex]

[tex]-176t=-5280[/tex]

[tex]t=-5280/-176[/tex]

[tex]t= 30[/tex]

Therefore the answer is 30 minutes

To learn more about  expression refer to:

https://brainly.com/question/25968875

#SPJ2

The highest elevation in the United States is Mt. McKinley in Alaska, which measures 6,194 m above sea level. The lowest elevation in the United States is Death Valley in California, which measures 86 m below sea level. What is the height difference, in meters, between the highest and lowest elevations in the United States?

Answers

Answer:

the difference is 6280 m

Step-by-step explanation:


What is the inverse of the function y = 2x - 3?

Answers

Answer:

f^-1(x)=[tex]\frac{x}{2}[/tex]+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

I’m really confused please help!

Answers

Answer:

yes

Step-by-step explanation:

i did this last week

Answer:

Yes, it is.

Step-by-step explanation:

Solve for B.
Ax+By=C
What is B equal to?

Answers

Answer:

B=C/y−Ax/y

Step-by-step explanation:

these 2 questions math 9th thanks! will give brainly!!

Answers

Answer:

1)     25+7(n-1)

When the above 'n'(hours) is substituted on the equation, it equals up to the right cost.

2)      Given that n represents the no.of bikes, you just plug it in to the equation below.

250+39(n-1)

= 250+39(20-1)

= 250+39*19

= 250+741

= 991

Write the equation y+4+-1 (x-3) in standard form.

Answers

Answer:

−x+y+7

Step-by-step explanation:

James has 861 feet of rope. There are 14 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?

Answers

Answer:

61.5 Feet of Rope

Step-by-step explanation:

Divide the rope length, 861 feet, by 14 people.

The tank in Sabina’s car hold 12.7 gallons of gasoline. Currently, the gas tank is 3/4 full. How much gasoline is in the car’s tank? Round your answer to the nearest tenth.

Answers

Answer:

9.5 gallons

Step-by-step explanation:

12.7 x .75

multiplying by .75 is the easiest way to get 3/4 of something

30,688 to the nearest ten thousand is
.
548 to the nearest hundred is

Answers

3,456.073084 is the answer :)

*
Find the area of the following square:
15 ft.

Answers

Answer:

225

Step-by-step explanation:

The formula is a^2.

Where a is the side

So, 15^2

= 15x15

=225

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT PLEASE HELP 20 POINTS out

Answers

-15x -8y=-27 Thas the answer

Answer:

It would be -27

Step-by-step explanation:

Math

If cos(x)= 3/4 and tan(x), what is cos(2x)?
-3sqroot7/8
-1/8
1/8
3sqroot7/8

Answers

Answer:

The answer is 1/8 or C.

Step-by-step explanation:

I know this is correct because I got it right on edge 2021.

**please mark brainliest!**

.The value of cos(2x) is 1/8

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given:

cos x = 3/4

Using identity,

cos 2x = 2 cos^2 (x)-1

=2(3/4*3/4)-1

=2*9/16-1

=9/8-1

=1/8.

Learn more about trigonometry here:

https://brainly.com/question/26719838

#SPJ2


Ralph painted 1/6 of a wall in 2/3 hour. At this rate, how many hours will it take Ralph to paint the whole wall?

Answers

Answer:

4 hours

Step-by-step explanation:

Let the size of  whole wall be x.

Given that

Ralph painted 1/6 of a wall in 2/3 hours

thus, writing it in mathematical form we have,

time taken to pain 1/6 of x = 2/3 hours

=>time taken to pain x/6 wall = 2/3 hours

since, we have taken size as x so to find time to pain x size of wall ,

we divide both side by 6

=>time taken to pain x/6 * 6 wall = 2/3 *6 hours

=> time taken to pain x wall = 4 hours

Thus, It will take 4 hours to paint whole wall

It was 12°C when Preston got home from school.
The weather report shows a storm front moving
in that will drop the temperature by 17°C. What
is the expected temperature

Answers

Answer:

-5 degrees C

Step-by-step explanation:

drop indicates minus

12-17=-5

-5 degrees C

Translate point (2, -1) seven units up. Write the new coordinate as an
ordered pair. help pls!

Answers

Answer:

(2,6)

Step-by-step explanation:

Up on a graph is adding to the y-value. (x,y)

x-value = 2

y-value = -1

-1 + 7 = 6

(2,6)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

I need help(explanation) on how to find h and m. I will give 12 points!​

Answers

Answer:

h= 44 degrees

m= 45 degrees

I think this is the answer

Find the circumference of the circle to the nearest
tenth. Use 3.14 for T.
28 m

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

The circumference is 56×3.14 (175.9)

answer for brainliest
pic below
correct answers only

Answers

a- 2/7
b-3/4
c- 2/4
d- 0/4

A 2-month membership to the gym costs $125. Alex would like to be a member for 1 year (12 months). What is the total amount he will pay for the year?

Answers

Answer:

$750

Step-by-step explanation:

We divide 12 months which is the time Alex would like to be a member by 2 which gives us 6. We know 2 months=$125 so if 2×6=12, $125×6 = A 1 year membership.

The endpoints of RS are R: (9,-4) and S: (2, -8).
Which are the coordinates of the midpoint of RS?
A (11-2
B: (1. –6).
c (3,-2)
D (-6)

Answers

Answer:

B, (11/2,-6)

Step-by-step explanation:

to get the midpoint of two endpoints, simply take the average of each corresponding coordinate

midpoint: ((Rx+Sx)/2,(Ry+Sy/2)).

((9+2/2),(-4+-8/2)) = (11/2,-12/2) = (11/2,-6)

the midpoint formula in general is : ((x+x1)/2),(y+y1)/2))

where x1 is the initial or first x coordinate, y1 is the initial or first y coordinate, x is the second, last, or final x coordinate. and y is the second, last, or final y coordinate.

20r + 11r + –19r − –4 = –20

Answers

Answer:

r=-2

Step-by-step explanation:

First, you need to combine like terms so now you have 12r-(-4)=-20. Then you have to subtract -4 to -20 which equals -24 so now you have 12r=-24. Finally, you divide 12 from both sides and you get r=-2

Answer:

r = -2

Step-by-step explanation:

20r + 11r - 19r + 4 = -20

12r + 4 = -20

subtract 4 from both sides of the equation

12r + 4 - 4 = -20 - 4

12r = -24

divide both sides by 12

12r/12 = -24/12

r = -2

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