Proportional Relationships Homework
1. A nutrition company is marketing a low-caloric snack brownie. A serving size of the snack is 3 brownies
and has a total of 50 calories.
(c) Determine how many calories 14 brownies
would have. Round to the nearest calorie.
(d) If c represents the number of calories and b
represents the number of brownies, write a
proportional relationship involving c and b and
solve it for c.
Proportional relationships are used to represent direct variation
The number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]
Let b represents brownies and c represents calories.
So, the relationship is given as:
b : c = 3 : 50
Express as fractions
[tex]\mathbf{\frac bc = \frac{3}{50}}[/tex]
Multiply both sides by c
[tex]\mathbf{b = \frac{3}{50}c}[/tex]
When the number of brownies is 14, we have:
[tex]\mathbf{14 = \frac{3}{50}c}[/tex]
Multiply both sides by 50/3
[tex]\mathbf{14 \times \frac{50}{3} = c}[/tex]
[tex]\mathbf{233 = c}[/tex]
Rewrite as:
[tex]\mathbf{c = 233 }[/tex]
Make c the subject in [tex]\mathbf{b = \frac{3}{50}c}[/tex]
[tex]\mathbf{c = \frac{50b}{3}}[/tex]
Hence, the number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]
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(I am giving branlest) (plz help only if you understand )
Which expression has the sum of twenty six twentieths?
two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths
b. four fifths plus two fourths
Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.
Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.
4/5 20/5 = 4 4×4 = 16 so 4/5 is equivalent to 16/20
2/4 20/4 = 5 5×2 = 10 so 2/4 is equivalent to 10/20
Add: 16/20 + 10/20 = 26/20
brainliest me
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?
Step-by-step explanation:
x = traveled hours
when multiplying miles/hour by hours, this gives
hours × miles / hours
so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.
therefore,
468 = 95x + 85x = 180x
x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes
remember,
1 hour = 60 minutes
1/10 hour = 60/10 = 6 minutes
Answer:
Step-by-step explanation:
2.6 h
can someone pls help me with dis ill give brainliest
Answer:
274900
Step-by-step explanation:
Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.
Answer:
Yes it is written in scientific notation.
Step-by-step explanation:
Scientific notation is --> a x 10^b. where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.
22 divided by 2,737 include the remainder
Answer:
124.409
Step-by-step explanation:
sana makatulong sa inyong lahat
1.What is the formula for the volume of a cylinder
2.Sarah is running in a 42 miles marathon.How far is.it in ft?
Step-by-step explanation:
Volume of cylinder = πr²h
42mi = 221760 ft .
yo if someone helps me with this ill give u brainliest
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
If 11% of a number equals 4, find 66% of that number.
Answer:
363/20,000
.................................................................................
Answer:
24
Step-by-step explanation:
Let the number be " x ".
11 % of x = 4
( 11 / 100 ) * x = 4
x = 4 * ( 100 / 11 )
x = 400 / 11
66 % of that number
= 66 % of x.
= 66 % of 400 / 11
= ( 66 / 100 ) x ( 400 / 11 )
= ( 66 x 400 ) / ( 100 x 11 )
= 6 x 4
= 24
A set of stickers contains 4 shamrocks for every 6 rainbows. Which choice contains an equivalent ratio of shamrocks to rainbows?
shamrocks : rainbows
1. 2 : 4
2. 6 : 9
3. 1 : 3
4. 8 : 18
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.
If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.
There are several types of correlation:
Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one anotherIn this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.
In conclusion, what was observed is negative correlation.
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6 short questions 50 POINTS
Answer:
KN be better
sons of if his
In San Francisco, the tax on a property assessed at $920,000 is $19,320. If tax rates are proportional in this city, how much would the tax be on a property assessed at $740,000?
Answer:
$15540 is 2.1% of 740,000 which is the same percent as the 920,000 which was 2.1 percent so your answer is $15540
Step-by-step explanation:
Why are integers rational numbers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
Find the slope of the line that passes through:
(-3,-4) and (76)
Answer:
Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4
Step-by-step explanation:
hope this helps, have a nice day/night! :D
if it helped, please mark this as brainliest!
Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y / change in x
Slope = 6 - (-4)/7 - (-3)
Slope = 10/10
Slope = 1
-Chetan K
Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?
Answer:
1.400$
Step-by-step explanation:
Dimensional analysis
Answer:
On the LHS:
Frequency is measured in rad/s, or [tex]s^-^1[/tex];.
On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.
[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]
Exit
Lin wants to bike of a mile. She has already biked of a mile. How much farther does she have to bike?
Simplify your answer.
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly. How much money will be in this account after 4 years?
Round your answer to the nearest cent.
Answer:
There would be $5,372.99 in Camilla's account after 4 years.
Step-by-step explanation:
Total Principal $5,000.00
Total Interest $372.99
* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%
Camilla will have approximately $5,454.41 in her account after 4 years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.
Now, After 4 years, the investment will grow to:
= $5,000 (1 + (1.8%/12))¹²ˣ⁴
= $5,000 (1 + (1.8%/12))⁴⁸
= $5,454.41
Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.
So, Camilla will have approximately $5,454.41 in her account after 4 years.
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There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 iPads. How many iPads were donated to Fun Elementary?
Answer:
469 iPads were donated.
Step-by-step explanation:
The school purchased 396 iPads in total: 300+96
Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469
Help me with question 9
Answer:
a) 5.25m^2
b) 1 can
Step-by-step explanation:
a)
area of a triangle = bh/2
=(4.2 x 4.5)/2
=18.9/2
=9.45m^2
area of a rectangle = 2(l+w)
=2 x (0.6 + 1.5)
=4.2m^2
9.45-4.2 = 5.25m^2
b) 1 can, you can't have a partial can of paint
trevin puts 8 gallon of gas
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
My number has 3 digits. The sum of the digits is 15. The digits are all different odd numbers. If divided by 0.25 the answer is a whole number. The number is greater than 3 and less than 4.
Answer:
3.75
Step-by-step explanation:
trust me
Solve
27-(-8)
A. 35
B. 19
C. -19
D. -35
The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =27-(-8)[/tex]
[tex]\large \sf =27+8[/tex]
[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]
So, the numeric value of this numeric expression will be 35.
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Answer:
0.08
Step-by-step explanation:
the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08
Help show work please.
Answer:
X = 7/3y - 10/3
Step-by-step explanation:
Add - 7y to both sides = -3x + 7y = 10 - 7y
= -3x = 10 - 7y
Divide both sides by -3
-3x/-3 = 10/-3 - 7y/-3
x = 7/3y - 10/3
Solve 2 cot x = csc^2 x symbolically on the interval (0,2pi).
Answer:
x=pi/4, 5pi/4
Step-by-step explanation:
cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2
An oddly-shaped water bottle holds 30.5 L of water. If the water bottle is 2/3 full, how many L are in the water
bottle?
Answer: 2/3 of 30.5 is 20.3333333333
A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?
Answer: just simply add them and you get 11000
paul is chrome plater at a local plant. if he plates 300 items or more, he is paid $1.25 each. for less than 300 items, he is paid $0.75 each. what is his total pay if he plates 321 items on Wednesday and 154 items on Thursday?
Answer:
Step-by-step explanation: