Answer:
20 lb of 31 cent candy, 30 lb of 46 cent candy
Step-by-step explanation:
sorry don't have one
here is a smiley face for you
:D
The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume the separate weights of each type of candies to be represented by variables.
Let we have:
x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.y = weight (in pounds) of second type of candy whose cost is 46 cents per pound.x pounds of first type of candy is mixed with y pounds of second candy.
The weight of the mixture = x + y = 50 pounds
The cost of the mixture = 40 cents per pound = [tex]40 \times 50 = 2000[/tex] cents
Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = [tex]31x + 46y[/tex]
Thus, we get [tex]31x + 46y =2000[/tex]
Therefore, we got a system of two linear equations as:
[tex]x +y = 50\\31x + 46y =2000[/tex]
From first equation, we get:
[tex]x = 50 -y[/tex]
Substituting this value in second equation, we get:
[tex]31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30[/tex]
Putting this value of y in equation for x, we get:
[tex]x = 50-y = 50-30 = 20[/tex]
Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
Learn more about solving system of linear equations here:
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What is the next time: 8:30 A.M., 10:00 A.M., 11:30 A.M., _______? A) 1:00 P.M. B) 1:00 A.M. C) 1:30 P.M. D) 1:30 A.M.
Answer:
A 1 PM
Step-by-step explanation:
Becasue it grows by an hour and a half each time
Answer: Easy. A. 1 pm.
.
If 1 penguin has a mass of 6 kg, what is the mass of 9 penguins?
Answer:
54 kg
Step-by-step explanation:
We need to multiply!!
6 x 9 = 54
Have an amazing day!!
Please rate and mark brainliest!!
A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
A) The transformations can be a vertical translation and an horizontal translation.
B) K = 8 and K' = 16
C) g(x) = f(x + 8)
g(x) = f(x) + 16.
Which type of transformation could be used?
A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.
B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.
In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.
C) How to write the equations?
An horizontal translation is written as:
g(x) = f(x + K).
Because the translation is to the left, we have that K is positive, then in our case we have:
g(x) = f(x + 8).
For the vertical translation the formula is:
g(x) = f(x) + K'
In our case, we have:
g(x) = f(x) + 16
If you want to learn more about transformations, you can read:
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Answer:The transformations can be a vertical translation and an horizontal translation.B) K = 8 and K' = 16C) g(x) = f(x + 8) g(x) = f(x) + 16.Which type of transformation could be used?A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.C) How to write the equations?An horizontal translation is written as:g(x) = f(x + K).Because the translation is to the left, we have that K is positive, then in our case we have:g(x) = f(x + 8).For the vertical translation the formula is:g(x) = f(x) + K'In our case, we have:g(x) = f(x) + 16
Step-by-step explanation:
Please write no more than two paragraphs. Assignment is worth 25 points We have been talking about variables and how they are measured. For this assignment, I have assigned a paper for you to study on the potential impacts of a paleolithic diet on cardiovascular markers in patients with diabetes.
The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.
What is diabetes?It should be noted that diabetes simply means a condition when the blood glucose is too high.
In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.
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Use synthetic division to divide:
(2x^4+5x^3-3x^2-x+1) / (x+2)
Answer:
[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]
Step-by-step explanation:
See picture for explanation
The volume of a rectangular prism is
3,000 cm?. If the width of the prism is 10 cm
and the height is 15 cm, what is the length
of the prism in centimeters?
Answer:
To find the volume of a rectangular prism, multiply the length, width, and height. The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm3, mm3, in3, m3, etc.
Step-by-step explanation:
hope it helps
A bird is nested on a tree top that is 14 feet above the ground. The bird looks down at a worm at a 30 angle of depression. How far is the worm from the base of the tree?
Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.
What is the Tangent Ratio?Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.
The information given would form a right triangle, where:
Reference angle = ∅ = 30°Opposite side = 14 ftAdjacent side = distance of the worm from the base of the tree = xApplying the tangent ratio, we would have:
tan 30 = 14/x
x = 14/tan 30
x = 24.2 ft.
Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.
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If a coat was marked down 20% and the sale price is $55.60, what is the original price?
Answer:
$69.50
Step-by-step explanation:
As it was marked down 20%, this means the sale price would be 100-20=80%.
When 80% ---- cost $55.60
Therefore when 100% ---- cost = $55.60 * 100/80
So when we solve this, we get the final ans $69.50
i need help with this problem
Step-by-step explanation:
Pythagoras theorem
16²=7²+a²
a²=16²-7²
a²= 256 -49
a²=207
a=√207
a=14.38
a≈14.4 in. (approx)
Answer:
Step-by-step explanation:
As it is a right angle triangle, we can use Pythagorean theorem to find a
base² + altitude² = hypotenuse²
7² + a² = 16²
49 + a² = 256
a² = 256 - 49
a² = 207
a = √207
a = 14.4 in
Element X is a radioactive isotope such that every 81 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1800 grams, how much of the element would remain after 28 years, to the nearest whole number?
Answer:
1426
Step-by-step explanation:
this question has been asked before and answered incorrectly but people corrected them in the comments.
Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?
Answer:
16.
Step-by-step explanation:
Multiply 20 and 4/5 to get the result of who is going.
20 * (4/5)
(20*4)/5
80/5
16
16 friends will be going to the party.
Answer:
16 friends
Step-by-step explanation:
Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?
4/5 * 20 or 20 * 4/5
[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]
Therefore, 16 friends are going to the party.
Hope this helps!
Can someone help me with this? i am very confused.
Check the picture below.
the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.
the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.
so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.
Explain how to find the length of one side of a regular polygon if you are given its perimeter.
I
Answer:
If you are only given the perimter, then you can only find the side lengths of a square
Step-by-step explanation:
e.g. say perimeter = 16
16 / 4 = 4 so each length is 4.
logariths, please help
Answer:
{ - 2 , 8 }
Step-by-step explanation:
[tex]log_{4}[/tex] ( x² - 6x ) = 2
4² = ( x² - 6x )
x² - 6x - 16 = 0
- 6 = - 8 + 2
- 16 = - 8 * 2
( x - 8 )( x + 2 ) = 0 ⇒ [tex]x_{1}[/tex] = - 2 , [tex]x_{2}[/tex] = 8
{ - 2 , 8 }
How to find an slope
Answer:
Y2-Y1
____
X2-X1
To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.
I THINK IT IS HELPFUL FOR YOU.?
A rectangular prism has a length of 12 meters, a width of 3 meters, and a height of
meters
Enter the volume of the prism as a mixed number in simplest form in the box
meters
Answer:
Volume of Prism = 1/2×h×l×b
I think the formula will help you.
There is no Height, I think question is incomplete
Kaseem had 1/4 box of candy. He ate 1/2 of the candy. What fraction of the box did Kaseem eat? Show all work.
Answer:
1/8
Step-by-step explanation:
So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8
A coin is flipped 8 times. Find the probability of the event: Exactly 5 heads
a.0.625
b.0.03125
c.0.219
d.0.0039
Answer:
c. 0.219
Step-by-step explanation:
If the coin is fair, then the probability of flipping a head is 1/2 = 0.5
Therefore, we can model this as a binomial distribution:
X ~ B(n, p) where n is the number of events and p is the probability of success
Given:
n = 8p = 0.5X ~ B(8, 0.5)
Using a calculator:
P(X = 5) = 0.21875 = 0.219 (3 dp)
Using the formula:
[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]
(where n is the number of events, x is the number of desired successes and p is the probability of success)
[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]
[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]
[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]
[tex]\sf \implies P(X=5)=0.21875[/tex]
Help help help help help help
Answer:
The total of this whole angle, which is represented by ∠ABD, measures 64°.
We are given that apart of this angle, ∠CBD measures 30°, so that'd mean that the other part of this angle, ∠ABC, would measure 34°.
This is because both angles ABC and CBD combined would equal a total of 64°.
So we set up the equation;
30 + x = 64
-30 -30
x = 34°, therefore ∠ABC = 34°.
Answer:
m∠ABC = 34°
Step-by-step explanation:
Given:
m∠ABD = 64°
m∠CBD = 30°
BC is the angle bisector of ∠ABD, which means that an angle is cut in half into two equal pieces. The line divides an angle into two angles.
∠ABC + ∠CBD = ∠ABD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 64° - 30°
m∠ABC = 34°
hope this helps!! p.s. i really need brainliest :)
Mia drew a scale drawing of a game room. The air hockey table is 6 inches wide in the
drawing. The actual air hockey table is 4 feet wide. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Answer:
8x
Step-by-step explanation:
The drawing of the air hockey table is 1/8th the size of the actual air hockey table so the scale factor the drawing uses is 8x
pls i need help asap
what's the area of this figure?
Answer:
35
area of traingle b xh/2 5x4/2 - 10
area of square lxl - 5x5 -25
add- 35
Answer:
The answer would be 35.
Step-by-step explanation:
The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.
Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 882, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
✿————✦————✿
Answer: A
[tex]62=\frac{12(1.04^{12}-1) }{1.04-1}[/tex]
✿————✦————✿
serious help needed ASAP :(( with the file attached will give brainliest if possible
optionally would also appreciate an extra answer to this question: https://brainly.com/question/27139711 (that can be posted there instead of here if you want)
spending max amount of points that can be in a single question
thanks
Answer:
a) (x=6); b) (x= -5.5)
Step-by-step explanation:
find the midpoint of each of the pairs of coordinates.
((x1 + x2)/2 , (y1 +y2)/2)
Find mid points
#1
(3,2) (9,2)[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]
[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]
[tex]\\ \rm\rightarrowtail (6,4)[/tex]
We know x is fixed
So Axis of symmetry=x=6
#2
(-18,3)(7,3)[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]
[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]
Axis of symmetry
x=-5.5Sam has a small paper delivery business. His parents require him to to save $1 every $5 he earns. If he made $200, how much would he need to save
what is the area of the triangle
Answer:
6
Step-by-step explanation:
A=(bh)/2
a=(4*3)/2
a=12/2
a=6
Answer: 12 units 2
Step-by-step explanation:base times hight
Hamilton, NY has 73465 residents, and 12 members on their Board of Trustees. The three districts of Basel, Heights, and Dagonal have the following populations:
Basel: 13,244 Heights: 30, 415 Dagonal: 29,806
Determine the standard quota (to two decimal places) for the Dagonal district.
6) Gotham City is to apportion 16 seats to districts with populations as follows:
North: 785 South: 1,125 East: 1,950 West: 415
Find the standard divisor
What are the standard, lower, and upper quotas for the four districts?
a) The determination of the standard quota for the Dagonal district is 40.57%.
b) 1. The standard divisor is 267.19 (4,275/16).
2. The standard, lower, and upper quotas for the four districts are as follow:
North South East West
Standard quota 18.36% 26.32% 45.61% 9.71%
Lower quota 18% 26% 45% 9%
Upper quota 18% 26% 46% 10%
What is the quota method of apportionment?The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.
When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.
The standard divisor is calculated as the total population divided by the total number of seats.
The standard divisor gives the average number of people represented by a Board or seat member.
Data and Calculations:
Hamilton, NY Population:Residents of Hamilton, NY = 73,465
Board Trustee Members = 12
Basel Heights Dagonal Total
Population 13,244 30, 415 29,806 73,465
Proportion 18.03% 41.40% 40.57% 100%
Allocation of Board
Seats 2 5 5 12
Gotham City Population:Number of seats = 16 seats
North South East West Total
Population 785 1,125 1,950 415 4,275
Proportion 18.36% 26.32% 45.61% 9.71% 100%
Allocation of Board
Seats 3 4 7 2 16
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Find the volume of the
following triangular prism.
height: 2cm
length: 5cm
width: 3.5cm
A. 17.5cm3
B. 35cm3
C. 42.5cm3
D. 45cm3
A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
1
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
She sold 5.775 kilograms of pears at the farmer's market.
Step-by-step explanation:
Let's first determine the information that the question gives us, and what we need to find.
Given:
The farmer sold 7.7 kilograms of apples and pears
1/4 of the weight is apples
The rest of the weight is pears
Find:
Kilograms of pears that the farmer sold
Start by finding the fraction of the whole weight that was pears...
[tex]1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}[/tex]
Now, find 3/4 of 7.7...
[tex]\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg[/tex]
She sold 5.775 kilograms of pears at the farmer's market.
Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.
Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.
The composite function combines the palm tree and the seed functions
The composite function is t(d) = 60d + 20
How to determine the composite functionsThe functions are given as:
Number of palm trees: t(s) = 3s + 20
Number of seeds: s(d) = 20d
The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:
t(s(d))
This is calculated as:
t(s(d)) = 3s(d) + 20
Substitute s(d) = 20d
t(s(d)) = 3 * 20d + 20
Evaluate the product
t(s(d)) = 60d + 20
Rewrite as:
t(d) = 60d + 20
Hence, the composite function is t(d) = 60d + 20
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