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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Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?
Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8
Step-by-step explanation:
The population of a city decreases by 1.1% per year. If this year's population is
79,000, what will next year's population be, to the nearest individual?
Answer:
Step-by-step explanation:
100% - 1.1% = 98.9% = 0.989
79000(0.989)¹ = 78,131
or
1.1% = 0.011
79000(0.011) = 869
79000 - 869 = 78,131
Amana Hagel earns $476 a week. She is married and claims 3 allowances. How much will
be withheld from her weekly paycheck for Federal Income Tax?
Answer:
$158.67
Step-by-step explanation:
math for college readiness question. please help
Answer: 3
Step-by-step explanation:
[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]
PLEASE HELP GIVING BRAINLIEST
Answer:
A.10,4
B.5,10
C.5,5
D4,4
Step-by-step explanation:
KERE ON LERNER?
If 2 students can clean the classroom in 20 min. How long will it take 8 students to clean the classroom?
(1) 160 min
(2) 80 min
(3) 5 min
(4) 10 min
Answer:
5 MIN
Step-by-step explanation:
If (-3)-5=1/xwhat is the value of x?
Option A
Option A -243
if any doubt leave a comment and don't forget to give BRAINLIEST
5.
Identify the axis of symmetry of the parabola.
A. y = −1
B. x = −1
C. x = 1
D. y = 1
Answer:
B. x = −1
Step-by-step explanation:
In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.
If two resistors with resistances R, and Ry are wired in parallel, then their combined resistance R is given by the complex fraction R=
R, R₂
Evaluate this formula when R1 = 70 ohms and R2 = 125 ohms.
Answer:
The equivalent resistance of two resistances connected in parallel is given by 1/R = 1/R1 + 1/R2
R = (R1*R2)/(R1 + R2)
(dR)/(dt) = ((R1*(dR2)/dt + R2*(dR1)/dt)(R1 + R2) - (R1*R2*((dR1)/dt + (dR2)/dt)))/(R1 + R2)^2
R1 is increasing at a rate of 0.3 ohms/second and R2 is increasing and finish i am busy right now am sorry to finish this question here ur formula
Pls,
Find the area of the
parallelogram below.
8 cm
12 cm
Answer: Area = 96 cm squared
Explanation;
base x height = area
Base = 12
Height = 8
12 x 8 = 96
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answer:
W4 is our new scaled side
Step-by-step explanation:
Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.
3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3
In our case it gets bigger
do 16 divided by 2 which gives us 8 then times that by 3 to get 24
now thats how I solved this problem but if that not how you did it then you can do it your way :3
HOOE THIS HEEELPPED :DDD
BEST ANSWER GETS BRAINLIEST!!!!!!!
ruben the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 9 clients who did Plan A and 7 who did Plan B. On Tuesday there were 3 clients who did Plan A and 5 who did Plan B. Reuben trained his Monday clients for a total of 12 hours and his Tuesday clients for a total of 6 hours. How long does each of the workout plans last?
Let plan A be x
Plan B be y
Equations are
[tex]\\ \sf\longmapsto 9x+7y=12--(1)[/tex]
[tex]\\ \sf\longmapsto 3x+5y=6--(2)[/tex]
Multiplying (1) by 1 and (2) by 3
9x+7y=129x+15y=18Subtracting
[tex]\\ \sf\longmapsto -8y=-6[/tex]
[tex]\\ \sf\longmapsto y=3/4[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 3x+5(3/4)=5[/tex]
[tex]\\ \sf\longmapsto 3x+15/4=5[/tex]
[tex]\\ \sf\longmapsto 3x=5-4/15[/tex]
[tex]\\ \sf\longmapsto 3x=71/15[/tex]
[tex]\\ \sf\longmapsto x=71/45[/tex]
Given 4(3x-8)=52 prove x=7
Answer:
4(3x-8)=52
divide both sides by 4
4/4(3x-8)=52/4
3x-8=13
add both sides by 8
3x-8+8=13+8
3x=21
divide both sides by 3
3x/3=21/3
x=7
Step-by-step explanation:
this question got asked three times =)
Answer:
52 is the answer
Step-by-step explanation:
You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.
3(7)=21
Subtract the numbers in the paratheses once you have found the number with the variable.
21 - 8 = 13
Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.
4 * 13 = 54 or 13 * 4 = 54
I hope this helps u! :D
The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____.
Answer:
can you add a pic
Step-by-step explanation:
PLSS HELP
the question is in the picture
Answer:
I think it's -4/5
Step-by-step explanation:
3 + -7 = -4
--------------
5
=
-4/5
How many lines of symmetry does the figure have?
A. 1
B. 5
C. 2
D. 0
Answer:
B. 5
Step-by-step explanation:
Kind of hard to explain why
Answer: B. 5
Step-by-step explanation: The tiny lines on the sides of the pentagon are the lines of symmetry
Four subtracted from x is less than 18.
Answer:
x - 4 < 18
Step-by-step explanation:
< means less than
> means more than
A recipe calls for 5 cups of cashews for 4 cups of flour. Using the same recipe, how many cups of flour will you need for 2 cups of cashews? » How many cups of flour will you need for 2 cups of cashews?
Answer:
8/5 cups
Step-by-step explanation:
equal 5/4 to 2/x x representing the amount of flour
cross multiply: 5x=8
divide: x=8/5
Determine the intercepts of the line.
Do not round your answers.
y = 4r +7
Answer:
(-7/4, 0) (0, 7)
Step-by-step explanation:
I'm assuming r is x
0=4r+7
r=-7/4
y=0r+7
y=7
14 blue cars out of 70 cars
Answer:
66 cars
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
14-70=56
Step-by-step explanation:
its subtraction so you just need 70 and take away 14.
reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.
Please answer and show your work
Answer:
check online for more information
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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A line contains the points (1, 2) and (0,1). What is the equation of the line?
Answer:
y = x + 1
Step-by-step explanation:
Slope: (1-2)/(0-1) = -1/-1 = 1
y-intercept: 1 - (-2)(0) = 1
y = x + 1
Can somebody answer this?
True
One from of the linear function is Y = mx + b where b is the y intercept.
The y intercept is where x is 0 so it would be at (0,6)
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?
Enter your answer, as a mixed number in simplest form, by filling in the boxes.
Answer: 1 1/2
Step-by-step explanation: I took it on k12
Answer:
The answer is 1 1/2 for K12
Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 40 days. Provide 3 decimal places and units in your answer.
Compounded continuously model are evaluated using exponential functions
There are 8.177 bacteria left after 40 days
The given parameters are:
[tex]\mathbf{a = 10}[/tex] --- the initial number of bacteria
[tex]\mathbf{r = 0.502\%}[/tex] --- the decay rate
[tex]\mathbf{n = 40}[/tex] --- the number of days
The amount of bacteria left each day is calculated using:
[tex]\mathbf{T_n = a \times (1 - r)^n}[/tex]
So, we have:
[tex]\mathbf{T_{40} = 10 \times (1 - 0.502\%)^{40}}[/tex]
Express percentage as decimal
[tex]\mathbf{T_{40} = 10 \times (1 - 0.00502)^{40}}[/tex]
Simplify the expression in bracket
[tex]\mathbf{T_{40} = 10 \times 0.99498^{40}}[/tex]
Evaluate
[tex]\mathbf{T_{40} = 8.1766}[/tex]
Approximate
[tex]\mathbf{T_{40} = 8.177}[/tex]
Hence, there are 8.177 bacteria left after 40 days
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The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.
The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
What are the lower and upper bound?
The lower bound is the smallest value that would round up to the estimated value.
The upper bound is the smallest value that would round up to the next estimated value.
Here the number 1000 is rounded to the nearest 100 will be:
The Lower bound will be 950.
The Upper bound will be 1050
Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.
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whats the answer can someone answer please
Answer:
b and c
Step-by-step explanation:
Answer:
answer of QN 12 is 0.000000000999 and the answer of QN 13 is 30x + 42
Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.
Answer:
Step-by-step explanation: