300 grams of carbohydrates are recommended per day.
Step-by-step explanation:
Carbohydrates in each serving = 36g
This counts 12% of daily value.
Let,
x be the total daily value.
According to given statement;
12% of x = 36g
[tex]\frac{12}{100}*x=36\\0.12x=36\\[/tex]
Dividing both sides by 0.12
[tex]\frac{0.12x}{0.12}=\frac{36}{0.12}\\x=300\ g[/tex]
300 grams of carbohydrates are recommended per day.
Keywords: percentage, division
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Final answer:
To find the recommended daily amount of carbohydrates, divide the amount per serving (36g) by the daily value percentage (12%) and multiply by 100. The recommended amount is 300 grams of carbohydrates per day.
Explanation:
If a nutrition label states that there are 36g of carbohydrates in each serving and this amount is 12% of the daily value, we can calculate the recommended daily amount of carbohydrates by setting up a simple equation where 36g represents 12%.
To find the full 100%, we divide 36g by 12% and then multiply by 100%.
The calculation steps are as follows:
Divide the amount of carbohydrates in one serving (36g) by the percentage they represent of the daily value (12%). This gives us the amount of carbohydrates per 1% of the daily value.
Multiply the result from step 1 by 100 to find the amount of carbohydrates representing 100% of the daily value, which is the total daily recommended amount.
Calculation:
36g / 12% = 3g per 1% of daily value
3g per 1% * 100 = 300g
Therefore, the recommended daily amount of carbohydrates is 300 grams
Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional quantities? a=7.2 cm
The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square
Solution:Given that side of square "a" = 7.2 cm
We have to find the perimeter of square
The perimeter of square is given as:
Perimeter of square = 4a
Where "a" represents the length of side of square
Substituting the given value a = 7.2 cm in above formula, we get perimeter of square
Perimeter of square = 4(7.2) = 28.8 cm
Are the perimeter of the square and the length of its side directly proportional quantities?
[tex]\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}[/tex]
The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.
Two values are said to be in direct proportion when an increase in one results in an increase in the other.
So when length of sides increases, perimeter also increases
Hence perimeter and length of side of square are directly propotional quantities
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x^2+64+80. What is the maximum height of the rocket?
A) 150 feet C) 120 feet
B) 80 feet D) 144 feet
Answer:
D
Step-by-step explanation:
At the maximum height, the value of the vertical velocity Vy equals zero. From the value of the equation, we can get the vertical velocity by its first differential.
Differentiating this, we get -32x + 64
We then equate this value to zero. This yield 32x = 64 and x = 2
We now plug the value of x back into the original expression for height.
-16(2)^2 + 64(2) + 80 = -64 + 128 + 80 = 144 feet
4
9
of students at a school are boys. If there are 2610 students at the school, how many are girls?
Answer:
There are 2561 girls in the school.
Step-by-step explanation:
2610-49=2561
There are 1331 girls in the school.
Define equation? What is Equation Modelling?
Equation is defined as a relation that equates two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are 49% of students at a school are boys. There are 2610 students at the school.
Assume that there are [x] girls are there. Then, we can write -
x = 2610 - 49% of 2610
x = 2610 - (49/100) x 2610
x = 2610 - 1279
x = 1331
Therefore, there are 1331 girls in the school.
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Part of Eli’s job on the ranch is to feed the new calves. There are 5 new calves, and each calf eats 15 pounds of hay every day. Complete the area model to show the total number of pounds of hay Eli feeds the calves in 6 days. Then write the partial products and the total product.
Answer:
dfdssgfnfndfnfnb
Step-by-step explanation:
Use the following ordered pairs
X(-2,3)
Z(-6, -7)
If Y is the midpoint of XZ, find the ordered pair for Y.
The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then
[tex](x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})[/tex]
Putting the values
[tex]=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)[/tex]
Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
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The sailboat has 1 large sail and one small sail. The large sail is 24 feet tall. The base of the sail is 12 feet long. What is the area of the large sail?
The area of the large sail is 144 square feet.
Explanation:To find the area of the large sail, we can use the formula for the area of a triangle which is Area = 1/2 * base * height.
In this case, the base of the sail is 12 feet and the height (or the length of the sail) is 24 feet. Plugging these values into the formula, we get:
Area = 1/2 * 12 feet * 24 feet = 144 square feet
Therefore, the area of the large sail is 144 square feet.
which expression is equivalent to 4(23)
Answer:
the correct answer is , 4(20+3)
Step-by-step explanation:
write a sentence explaining why all solutions of rational equation must be checked
Answer:
It is highly important for all solutions of rational equation to be checked to make sure you get the right answer.
In solving a rational equation, we always clear of fractions. When we clear of fractions we always multiply both sides by a variable quantity. When we multiply both sides of an equation by a variable expression, we may introduce an extraneous solution a zero of that expression we multiplied through by.
100% on edg
after using six mushrooms to boost their speed. marcus racer has travelled 650 feet. hiw far did marcus racer travel after using three mishrooms?
Answer: 325 ft
Step-by-step explanation:
6 mushrooms = 650 ft
divide by 2 on both sides
3 mushrooms = 325 ft
5 mushrooms = 6-1 mushrooms
5 mushrooms = 650 - (boost distance for 1 mushroom)
1 mushroom = 650/6 = 108.3 repeating
so 5 mushrooms = 650 - 108.333333333 = 542.66666666
Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
a. The two equations represent lines on a graph, describe the difference in slope and y-intercept.
Answer:
The difference in slopes of [tex]f(x)\ and\ g(x)[/tex] is = 3
We can say slope of [tex]f(x)[/tex] is positive and 3 more than slope of [tex]g(x)[/tex] while slope of [tex]g(x)[/tex] is negative.
Difference of y-intercepts of [tex]f(x)\ and\ g(x)[/tex] is = -7
We can say the y-intercept of [tex]g(x)[/tex] is positive and 7 units above [tex]f(x)[/tex] while y-intercept of [tex]f(x)[/tex] is negative.
Step-by-step explanation:
Given equation:
[tex]f(x) =2x - 2[/tex]
[tex]g(x) =5-x[/tex]
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
[tex]y=mx+b[/tex]
where [tex]m[/tex] represents slope and [tex]b[/tex] represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
[tex]f(x) =2x +(-2)[/tex]
Slope = 2 and y-intercept =-2
[tex]g(x) =(-1)x+5[/tex]
Slope = -1 and y-intercept =5
The difference in slopes of [tex]f(x)\ and\ g(x)[/tex] is = [tex]2-(-1)=2+1=3[/tex]
We can say slope of [tex]f(x)[/tex] is positive and 3 more than slope of [tex]g(x)[/tex] while slope of [tex]g(x)[/tex] is negative.
Difference of y-intercepts of [tex]f(x)\ and\ g(x)[/tex] is = [tex]-2-5=-7[/tex]
We can say the y-intercept of [tex]g(x)[/tex] is positive and 7 units above [tex]f(x)[/tex] while y-intercept of [tex]f(x)[/tex] is negative.
explain why you can have different values when evaluating an algebraic expression.
please help!
When evaluating an algebraic expression, the domain is typically all real numbers.
What are real numbers?
Every single number (irrational, rational, natural numbers) except imaginary ones.
When you evaluate an algebraic expression, you can choose from a range of values if it is restricted. If it is not you can only use real numbers.
You can use 1, 50, 1909893, 39309202, and many more. It goes on and on.
And since each number that is being inputted into the expression is different, you may end up with different outputs.
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A wooden plank is 19 feet long.Mrs Dambra cuts 3 feet off the wooden plank. She then cuts the remaining piece of wood into equal pieces,each 1/5 long. how many pieces does mrs.dambra cut
Answer:
80 pieces
Step-by-step explanation:
Answer:
80ft.
Step-by-step explanation:
Please mark brainliest and you will get a Dino Nuggie :)
simplify: 3 1/2 + 1/8= 3 5/8 is that correct
Answer:
3.625
Step-by-step explanation:
I check on Google for yeah ;)
Collette and Jakara went shopping at a local music store. The shop advertised that all CDs marked with a red dot,r, were one price and all CDs marked with a green dot,g, were another price. Collette bought 2 green-dot CDs and 4 red-dot CDs for $52. Jakara bought 3 red-dot CDs and 1 green-dot CD for $34. Write and solve a system of equations to determine how much the store charges for each green-dot and each red-dot CD.
The store charges $8 for one red dot CD and $10 for one green dot CD.
Step-by-step explanation:
Given,
Red dot CDs = r
Green dot CDs = g
According to given statement;
4r+2g=52 Eqn 1
3r+g=34 Eqn 2
Multiplying Eqn 2 by 2;
[tex]2(3r+g=34)\\6r+2g=68\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 1 from Eqn 3
[tex](6r+2g)-(4r+2g)=68-52\\6r+2g-4r-2g=16\\2r=16[/tex]
Dividing both sides by 2;
[tex]\frac{2r}{2}=\frac{16}{2}\\r=8[/tex]
Putting r=8 in Eqn 2
[tex]3(8)+g=34\\24+g=34\\g=34-24\\g=10[/tex]
The store charges $8 for one red dot CD and $10 for one green dot CD.
Keywords: linear equation, subtraction
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By setting up and solving a system of linear equations based on the information that Collette bought 2 green-dot and 4 red-dot CDs for $52, and Jakara bought 3 red-dot CDs and 1 green-dot CD for $34, we determined that the price of each green-dot CD is $10 and each red-dot CD is $8.
Collette and Jakara went shopping at a local music store which had CDs marked with a red dot, r, at one price and CDs marked with a green dot, g, at another price. Collette bought 2 green-dot CDs and 4 red-dot CDs for $52, and Jakara bought 3 red-dot CDs and 1 green-dot CD for $34. To determine the prices for each type of CD, we set up a system of equations based on the information provided:
2g + 4r = 52 (Equation 1: Collette's purchase)
1g + 3r = 34 (Equation 2: Jakara's purchase)
We can solve this system of equations using either the substitution or the elimination method. In this answer, we will use the elimination method.
Multiply Equation 2 by 2 to align the coefficients of g: 2g + 6r = 68
Subtract Equation 1 from the new version of Equation 2 to eliminate g: (2g + 6r) - (2g + 4r) = 68 - 52
This simplifies to 2r = 16, so divide by 2 to find r: r = 8
Use the value of r to solve for g in Equation 1: 2g + 4(8) = 52
This simplifies to 2g + 32 = 52, so subtract 32 from each side: 2g = 20
Finally, divide by 2 to find g: g = 10
Therefore, the price of a green-dot CD is $10 and the price of a red-dot CD is $8.
finding roots in a polynomial function
Step-by-step explanation:
What's the question here, ik how to do this pretty well
How to solve : 16=2t + 0.25 t``squar
Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
Which scenario can be modeled using the graph below
Answer:
Graph is not listed
Step-by-step explanation:
First, we need to know what graph. Then we can answer this.
A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used for
each serving, how many servings can be made using 1 gallon of milk?
Answer:
160 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Since
1 cup = 10 servings
1 gallon of liquid is equivalent to 16 cups of the liquid
1 gallon = 16 cups
Therefore
1 gallon = (10 x 16) servings
1 gallon = 160 servings
160 servings can be made using 1 gallon of milk.
Square and square root
The area of a square field is 31684m. Find the length of each side.
Answer:
178 m
Step-by-step explanation:
The area of a square is the square of one of its sides, so the square root of the area is the length of one of its sides.
√31684 = 178
Since you know the area of a square is lengh times width,
you can do…
length x width= 31684
but since you know that length=width
it is just length squared=31684
so,
length= square root of 31684
at the end length of each side of a square are the the same so, if you know one then you know all of the others,
so,
length of each side in this square is=178 meters
Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)
The equation of the line that is parallel to y=-0.75x and passes through the point (8,0) is y = -0.75x + 6.
Explanation:The equation of a line in the form y = mx + b represents a linear equation, where m is the slope of the line and b is the y-intercept. Since we are looking for a line parallel to y = -0.75x, we know that the new line will have the same slope. So, the equation of the new line is y = -0.75x + b. To find the value of b, we can substitute the coordinates of the point (8,0) into the equation and solve for b.
0 = -0.75(8) + b
0 = -6 + b
b = 6
Therefore, the equation of the line that is parallel to y = -0.75x and passes through the point (8,0) is y = -0.75x + 6.
PLEASE HELPPPPPThe height of 200 adults were recorded and divided into two categories
Add the total males together: 13 + 85 = 98,
So the total male need to be 98,
the total adults is given as 200.
The total women would be 200 - 98 = 102
The table with those three totals is table D.
Answer: It's D
Step-by-step explanation:
First, look at the sum of both female and male adults. As it states in the question, they must add up to 200. Therefore, there are 98 males under 6 ft. So, graph that shows 98 females under 6ft is correct. Which is D in this case.
The average weight of a watermelon is 4.61 kg. The average weight of a coconut is 2.22 kg less than a watermelon. The total weight of an equal number of coconuts and watermelons is 140 kg. How many coconuts are there?
Since the average weight of a coconut is 2.22 kg less than a watermelon, its average weight is
[tex]4.61-2.22=2.39[/tex]Let n be the number of coconuts and watermelons. The total weight of n coconuts and n watermelons is
[tex]4.61n+2.39n = 7n[/tex]
If we want this total to be 140, we have
[tex]7n=140 \iff n=\dfrac{140}{7}=20[/tex]
So, you have 20 coconuts and 20 watermelons.
Final answer:
To find the number of coconuts, we can set up an equation using the given information. The average weight of a watermelon is 4.61 kg, and the average weight of a coconut is 2.22 kg less than a watermelon. By setting up the equation x(4.61 + 2.39) = 140 and solving for x, we find that there are 20 coconuts.
Explanation:
To solve this problem, we need to set up equations using the given information. Let's represent the number of coconuts as 'x'. The average weight of a watermelon is 4.61 kg, and the average weight of a coconut is 2.22 kg less than a watermelon, which means it is 4.61 - 2.22 = 2.39 kg. Since the number of coconuts and watermelons is equal, we can write the equation: x(4.61 + 2.39) = 140. Solving this equation, we get 7x = 140, which means x = 140/7 = 20.
Therefore, there are 20 coconuts.
Which pair of ratios does
not form a true proportion?
A) 8:14 and 20:35
B) 6 to10 and 15 to 25
D) 12:15 and 30:50
Answer:
8:14
Step-by-step explanation:
just multiply
The coordinates (12,6), (12,15), (4,0) represent the locations of his stops respectfully on a city map. If each unit on the coordinate plane represents 0.75 miles, how far did tony ride on the city bus?
Answer:
27 miles.
Step-by-step explanation:
The distance between two points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) on the coordinate plane are given by the formula
[tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
Therefore, the distance between points (12,6) and (12,15) is [tex]\sqrt{(12 - 12)^{2} + (15 - 6)^{2}} = 9[/tex] units
Again, the distance between the points (12,15) and (4,0) is [tex]\sqrt{(4 - 12)^{2} + (0 - 15)^{2}} = 17[/tex] units
And the dictance between the points (4,0) and (12,6) is [tex]\sqrt{(12 - 4)^{2} + (6 - 0)^{2}} = 10[/tex] units
Therefore, the total distance is (9 + 17 + 10) = 36 units.
If each unit on the coordinate plane represents 0.75 miles, then Tony rides on the city bus by (36 × 0.75) =27 miles. (Answer)
What is the simplified form of StartRoot StartFraction 48 Over 192 EndFraction EndRoot? One-fourth One-half 2 4
Answer:
1/2 or B on edge
Step-by-step explanation:
If one were to simplify the fraction 48 / 192, the result they would get is the fraction 1/4 or One-fourth
When taking a fraction to its simplest form, you divide both the numerator and the denominator by their greatest common factor.
The greatest common factor of both numbers is 48.
The simplest form is therefore:
= (48 ÷ 48) / (192 ÷ 48)
= 1 / 4
In conclusion, the fraction at its simplest form is 1/4.
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What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(2/3x)?
A) vertical stretching
B) vertical compression
C) horizontal compression
D) horizontal stretching
Answer:
This will be an effect of vertical compression.
Step-by-step explanation:
We have to determine the change on the graph of the function f(x) = 2x when f(x) is replaced with [tex]f(\frac{2}{3}x )[/tex].
Therefore, [tex] f(\frac{2}{3} x) = 2(\frac{2}{3}x )= \frac{4}{3} x[/tex]
It is clear that for the same value of x the y-value decreased by the factor [tex]\frac{2}{3}[/tex].
Hence, this will be an effect of vertical compression. ( Answer )
Answer:it’s horizontal stretching
Step-by-step explanation:
if you’re in usa test prep, it is NOT vertical compression.
Find the largest number. 16.3, 15.7, 16.9, 15.8
Answer:
16.9
Step-by-step explanation:
Which of the following is a correct interpretation of the expression 4 - (-3)
Start at 4 on the number line and move 3 to the left.
Start at 4 on the number line and move 3 to the right.
Start at -3 on the number line and move 4 to the left.
Start at -3 on the number line and move 4 to the right.
4 - (- 3) = 4 + 3
Addition moves to the right.
Subtraction moves to the left.
Start at 4 on the number line and move 3 to the right.
What is the number place 2 in 582.091 rounded to
Answer:
582.091 Rounded to 2 places after the decimal point is 582.09
:)
Answer:
unit
Step-by-step explanation:
H. T. U.
5. 8. 2
5 is representing a hundred
8 is representing the tenth
2 is representing the units
16. In the figure above, DG is the angle bisector of measure of angle
Answer:
The measure of angle GDE is 32 degrees
Step-by-step explanation:
Part 16) we know that
If DG is the angle bisector of angle FDE
then
m∠1=m∠2 (both angles are equal)
substitute the given values
[tex](7x+4)\°=(9x-4)\°[/tex]
solve for x
[tex]9x-7x=4+4[/tex]
[tex]2x=8[/tex]
[tex]x=4[/tex]
Remember that
m∠GDE=m∠1
m∠1=(7x+4)°
substitute the value of x
m∠1=7(4)+4=32°
therefore
The measure of angle GDE is 32 degrees
Answer:
Attached
Step-by-step explanation: