Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 420 calories, and had 113 calories of fat. What percent of the total calories in each brownie comes from fat?
The percent of the total calories in each brownie that comes from fat is 26.9%
What percent of the total calories in each brownie comes from fat?
We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:
420 cal = 100%
Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:
113 cal = X
We have the two relations:
113 cal = X
420 cal = 100%
If we take the quotient we get:
(113 cal/420 cal) = X/100%
Solving for X.
(113 cal/420 cal)*100% = X = 26.9%
So, the percent of the total calories in each brownie that comes from fat is 26.9%.
If you want to learn more about percentages:
https://brainly.com/question/843074
#SPJ1
what is the graph of f(x) = 5(2)^x
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
for more question on graph visit:
https://brainly.com/question/19040584
#SPJ8
mathematical statement
Answer: 5 + 3 = 8
This statement represents the addition of 5 and 3, which equals 8.
Step-by-step explanation:
When would there be only four different equations for a set of math mountain numbers?
Answer:
Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe
Step-by-step explanation:
Amanda is doing a show for 6.99 a minute and only receives 20% OF THE DOLLAR of that from her company. If she does a show for 10 minutes; how much is she pocketing?
Answer:
Step-by-step explanation:
22 dollars
Answer:
13.98
Step-by-step explanation:
find 20% and multiply by 10
Generalize A system of linear equations has exactly one solution. What can you say about the slopes of the lines when the equations are graphed? How do you know? Generalize A system of linear equations has exactly one solution . What can you say about the slopes of the lines when the equations are graphed ? How do you know ?
If a system of linear equations has exactly one solution then the slopes of both the lines should be different.
Given A system of linear equations has exactly one solution.
Linear equation is a type of equation when when plotted on the graph gives a straight line. The slope is the ratio of the vertical change to the horizontal change between two distinct points on a line.
let two equations be who have one solution
2x+3y=7
5x+6y=1
solving them
x=7-3y/2
put the value of x in second equation
5(7-3y)/2+6y=1
35-15y/2+6y=1
35-15y+12y=2
-3y=-33
y=11
put the value of y in x=7-3y/2
x=7-3*11/2
x=7-33/2
x=-26/2
x=-13.
There is only one solution which is (-13,11)
Taking equations and convert them into standard form
first
y=7/3-2/3x
second
y=1/6-5/6x
The standard form is y=a+bx where b is slope
from the above equations we can find that the slope of first equation is -2/3 and the slope of second equation is -5/6. In this way we are able to conclude that slopes should be different for one solution.
Learn more about slope here https://brainly.com/question/3493733
#SPJ10
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8, and s= -6.
Write your answer in exact form.
Answer:
r = 64
Step-by-step explanation:
r = (k*t*u)/s
Where,
k = constant of proportionality
t = -12,
u= -7,
s= -4,
r= -126.
r = (k*t*u)/s
-126 = (k*-12*-7)/-4
-126 * -4 = 84k
504 = 84k
k = 504/84
k = 6
Find r when t= -8, u= 8, and s= -6.
r = (k*t*u)/s
= (6*-8*8) / -6
= -384 / -6
= 64
r = 64
IS: Use the clues below to solve each number riddle. Riddle #1: Tam greater than the number of ounces in a pound. I am less than than the number of hours in two days. The difference of my digits is 5. I am an odd number.
Answer:
27
Step-by-step explanation:
There are 16 ounces in a pound.
The number is greater than 16.
There are 48 hours in 2 days.
The number is less than 48.
I am an odd number with a difference of 5.
Answer is 27. It’s more than 16, less than 48, an odd number with a difference of 5 between the digits that make up this number.
Answer:
32
Step-by-step explanation:
In triangle ABC, the measure of angle B is 34° more than three times the measure of angle A. The measure of angle C is 56° more than the measure of angle A. Find the measure of each angle.
Answer:
A = 18
B = 88
C = 74
Step-by-step explanation:
Givens
B = 3*A + 34
C = A + 56
Equation
A + B + C = 180
Solution
A + 3A + 34 + A +56 = 180 Collect like terms
5A + 90 = 180 Subtract 90 from both sides
5A = 180 - 90
5A = 90 Divide by 4
A = 90 / 5
A = 18
Answer
B = 18*3 + 34 = 54 + 34 = 88
C = 74
Check
A + B + C = 18 + 88 + 74
A + B + C = 180 as it should.
50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
The total number of atoms represented by Cd(CH₂CICO₂)2 is:
O a) 13
Ob) 16
O c) 17
Od) 15
Oe) 14
The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.
Cd(CH₂CICO₂)₂ contains:
1 cadmium (Cd) atom
2 carbon (C) atoms
6 hydrogen (H) atoms
4 oxygen (O) atoms
2 chlorine (Cl) atoms
Adding these up, we get:
1 + 2 + 6 + 4 + 2 = 15
Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
The answer is (D) 15.
To learn more about the addition;
brainly.com/question/29464370
#SPJ2
What is the GCF of 5,16 and 40
Answer:
The GCF of 5,16 and 40 is = none
-------------------------------------
\( \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } \)
Hope it is useful...Darnell's team scored 40 points at the game. Darnell scored 15% of the team's points. How many points did Darnell score?
Answer:
Darnel scored 6 points
Step-by-step explanation:
15% of 40 can be written as 40 * 0.15 which is 6. Darnell scored 6 points.
A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
a) Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a
week. Justify your answer.
Answer:
The predicted GPA is then y = 0.149(15) + 0.89 = 3.1
Step-by-step explanation:
Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data: GPA versus the number of hours of study per week.
y = 0.149x + 0.89 and the number of study hours of interest is 15.
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that \(\mu = 5.11, \sigma = 0.07\)
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.34 = \frac{X - 5.11}{0.07}\)
\(X - 5.11 = -1.34*0.07\)
\(X = 5.02\)
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.34 = \frac{X - 5.11}{0.07}\)
\(X - 5.11 = 1.34*0.07\)
\(X = 5.2\)
The diameter that separates the top 9% is 5.2 millimeters.
if you answer this correctly, i’ll give you brainliest!
-
-
find the value of x to make the following expression true:
6x = 216
Answer:
Original equation: 6x=216
Divide by 6: x=36
Let me know if this helps!
Answer:
If 216 = 6x then x = 216/6
216/6 = 36
x = 36
Step-by-step explanation:
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
HELPP IM FAILING MATH RN!!
LC is 40°. What is the measure of arc CB?
I hope this helps you
Hi there!
\(\large\boxed{100^{o}}\)
∠C = 40° and triangle ABC is isosceles, therefore:
∠C = ∠A = 40°
Angles in a triangle sum up to 180°, so:
180 = 40 + 40 + ∠A
180 = 80 + ∠A
100 = ∠A
Thus, arc CB has a measure of 100°.
two ratios that are equivalent to 5:2
Answer:
10:4
45:18
20:8
Step-by-step explanation:
you are going to set up a stereo system by purchasing separate components. In your price range, you find five different receivers, eight different compact disc players, and 12 different speaker systems. If you want one of each of these components, how many different stereo systems are possible ?
5 receivers
8 compact disc players
12 speaker systems
if we want one of each the possible stereo systems is 5 because is the least amount available
if we try to make the sixth we dont have other receiver
Karima made `9` pairs of earrings in `6` hours. How long will it take Karima to make `12` pairs of earrings?
Answer:
8 hours
Step-by-step explanation:
9 pair of earrings in 6 hours
=> 9 : 6 = 1,5 pair of earrings in 1 hour
12 : 1,5 = 8 hours
Karima can make 12 pair of earrings in 8 hours.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, Karima made 9 pairs of earrings in 6 hours.
Let the number of hours it took to make 12 pair of earrings be x.
Now, the proportion is
9/6 =12/x
9x=72
x=8
Therefore, Karima can make 12 pair of earrings in 8 hours.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ2
Which number equals 9x100+9x10+0x1+0x1/10+3x1/100+7x1/1000
Answer:
bro u just made my brain explode lollllllllllllllllllllllllllllll
Answer: The answer should be or somewhere around 991.13700
You can have a sandwich with rye, wheat, or white bread and containing either
roast beef, turkey, tuna, or ham. What is the probability of getting a tuna
bread sandwich? (reduce fraction)
wheat
and
a. 5/12
b. 1/12
c. 1/2
d. 2/12
Answer:
b. 1/12
Step-by-step explanation:
There are 3 choices for the type of bread and 4 choices for the type of filling, for a total of 3*4=12 possible sandwiches. If you are only interested in sandwiches made with tuna filling, then there are 3 choices for the type of bread (rye, wheat, or white) that the sandwich can be made with. Therefore, the probability of getting a tuna sandwich on any type of bread is 3/12=1/4. The probability of getting a tuna sandwich on wheat bread specifically is 1/4, so the answer is b. 1/12.
Which of the following best defines the midpoint of a segment? A. The point that splits a line segment into two equal parts. B. Any point on a line segment in between the two endpoints. C. When a line segment is split into equal thirds, a midpoint is any point in the middle third. D. Any point that is closer to one endpoint of the segment than the other.
Answer:
A. The point that splits a line segment into two equal parts.
Step-by-step explanation:
A. The point that splits a line segment into two equal parts.
Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
The statement that best describes the midpoint of a segment is the point that splits a line segment into two equal parts.
Learn more about Midpoint:
https://brainly.com/question/5127660
#SPJ5
MATH PLEASE HELP
Determine the area of the shaded region Determine the perimeter of the outside edges of the shaded figure.
the supplement of an angle is 30 degrees more than the measure of the
what is the measure of
the angle?
angle,
Answer:
x = 75°
Step-by-step explanation:
supplementary angles sum to 180°
let x be the angle then x + 30 is the supplementary angle , so
x + x + 30 = 180
2x + 30 = 180 ( subtract 30 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
x + 30 = 75 + 30 = 105
the angle is 75° and the supplementary angle is 105°
As the price of tickets rises from $200 to $250, the price elasticity of demand for business travelers is , and the price elasticity of demand for vacationers is , using the midpoint method. Therefore, the demand for airline tickets in this price range is elastic for vacationers because business travelers are sensitive to changes in price.
Answer:
The price elasticity of demand measures how responsive the quantity demanded is to a change in price. It can be calculated using the midpoint method, which is (change in quantity demanded / average quantity demanded) / (change in price / average price).
Using the midpoint method to calculate the price elasticity of demand for business travelers and vacationers, you would need more information such as the change in quantity demanded and the average quantity demanded for each group at different prices.
It is not possible to say if the demand is elastic or not for either group based on the information provided.
Question 7 of 10
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
5x + 3y = 31
2x + 3y = 25
O A. (5,2)
O B. (5,3)
O C. (2,7)
OD. (2,3)
Answer:
The answer is (2,7)
Step-by-step explanation: