Answer:
1,250,250 gallons
Step-by-step explanation:
1.25 * 10^6 gallons = 1,250,000 gallons
1,250,000 gallons + 250 gallons = 1,250,250 gallons
The ratio of cherry candies to grape candies in a bag is 3:5. After your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. How many candies are left in the bag?
Answer:
65
Step-by-step explanation:
I'm not completely sure if this is correct but this is what I got:
cherry candies: c ; grape candies: g
the ratio of the cherry candies to the grape candies is 3:5 so c/g=3/5 so c=3/5g
when you eat 1 cherry candy and half of the grape candies the ratio becomes (c-1)/(g/2)=7/6
I used substitution so now it becomes (3/5g-1)/(g/2)=7/6 if you solve this g will equal to 60. This number means that there was 60 grape candies originally. With this, you can solve for the number of cherry candies that you originally had (which is 36 because the ratio is 3:5)
so now you halve the number of grape candies which is 30 and take one off from the cherry candies which is now 35 (cherry:grape = 7:6 = 35:30)
there are now 65 candies altogether
A ratio shows us the number of times a number contains another number. The total number of candies that are left in the bag is 65.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of cherry candies to grape candies in a bag is 3:5. Therefore, we can write the ratio of the cherry to grapes as,
Cherry / grapes = 3/5
Multiply both the numerator and the denominator of the ratio with x,
Cherry / grapes = 3x/5x
Therefore, the number of Cherry and grapes in the initial was 3x and 5x, respectively.
Further, it is given that your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. Therefore, we can write the ratio as,
[tex]\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7}{6}[/tex]
Now, to get the real numbers we can write,
[tex]\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7}{6} \times \dfrac{y}{y}\\\\\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7y}{6y}[/tex]
Thus, we got two equations,
3x - 1 = 7y
5x/2 = 6y
Solving the second equation for x,
5x/2 = 6y
5x = 12y
x = 12y/5
Substitute the value of x in the first equation,
3x - 1 = 7y
3(12y/5) - 1 = 7y
y = 5
Furthermore, the total number of candies can be written as,
6y + 7y
= 6(5) + 7(5)
= 30 + 35
= 65
Hence, the total number of candies that are left in the bag is 65.
Learn more about Ratios:
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Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
(5 points)
Table A
Table B
Table C
Answer:
People keep saying A but its not bc i did the test so try B.
Step-by-step explanation:
Dont click A
Answer:
it's B
Step-by-step explanation:
Find the value of f(x)= 3x to the power of 2 - x +23 for x=-4
Answer:
This is not a real equation
Step-by-step explanation:
You cant do it when there are multiple resudents
A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer: 4.86%
Step-by-step explanation:
The Capital Asset Pricing Model can be used;
Return = Risk free rate + beta * ( market return - risk free rate)
10.5% = Rf + 1.55 * (8.5% - Rf)
10.5% = Rf + 0.13175 - 1.55Rf
10.5% - 0.13175 = -0.55Rf
-0.02675 = -0.55Rf
Rf = -0.02675/-0.55
= 0.0486
= 4.86%
Arthur sits in the park reading a newspaper, then starts walking home at a constant pace. He stops for bagels, then walks the rest of the way home.
1. What does the x-axis represent in this situation?
2. What does the y-axis represent?
3. During which parts of the graph does Arthur's distance from home decrease?
4.When is Arthur waiting for bagels? Explain how you know.
5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.
6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?
Answer:
y =87
Step-by-step explanation:
Answer:
1. What does the x-axis represent in this situation?
The x-axis represents time.
2. What does the y-axis represent?
The y-axis represents distance.
3. During which parts of the graph does Arthur's distance from home decrease?
Sections 2 and 4.
4. When is Arthur waiting for bagels? Explain how you know.
Section 3. The flat areas represent times when Arthur is not moving. We know that the first flat area shows Arthur reading his newspaper, and the third is when he reaches home; so the second flat area represents the time in which Arthur is waiting for bagels.
5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph
would change? Explain how that part of the graph would change.
The part of the graph that would change is part 4. If his pace was not constant, section 4 would not be uniform, and would have many abnormalities. Essentially, Arthur would be randomly speeding up and slowing down.
6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?
If Arthur had spent less time reading his newspaper, the whole graph would change. Section one would be shorter, and the entire line would also be shorter. The distance on the graph from the beginning of section 1 to the end of section 5 would be reduced.
Step-by-step explanation:
Consider the line y=7x-8.
Find the equation of the line that is parallel to this line and passes through the point (-5, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-5, 5).
Answer:
you can just use formula for perpendicular in the second question
m1 . m2 = -1
I need help ASAP
Plzs
How does 6 relate to 12?, this is 6×2=12 this makes that 4×2=x. (8) (x=8)
Answer
8
Step-by-step explanation:
6/4 times 12/x. cross mutliply to get 8
Question 2 (1 point) These allow electricity to flow easily through them (think copper and aluminum). (Lessons 5.01-5.03) Electric Currents Resistors Conductors Insulators
Answer:
copper and illuminum
Step-by-step explanation:
i got it right on the test
A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 10 hotdogs and each large pack has 18 hotdogs. The school bought 6 packs of hotdogs that have a total of 76 hotdogs. Write a system of equations that could be used to determine the number of small packs purchased and the number of large packs purchased. Define the variables that you use to write the system.
.
Answer:
S+L=6
10S+18L=76
Step-by-step explanation:
S for small
L for larger
Today, 75 of the sixth grade students did their math homework, and 15 did not do their homework. What percentage of the sixth grade students did their homework?
Answer:
80%
Step-by-step explanation:
Today, 75 of the sixth grade students did their math homework, and 15 did not do their homework. What percentage of the sixth grade students did their homework?
The number of students that did their home work = Total number of students - Number of students that did not do their homework.
= 75 - 15
= 60 students
The percentage of the sixth grade students that did their homework is calculated as:
Number of students that did their homework/Total number of students × 100
= 60/75 × 100
= 80%
A box of chocolates contains milk chocolates and dark chocolates in the ratio 2:3. The box contains 50 chocolates. How many milk chocolates are there in the box?
Answer:
The box contains 20 milk chocolates.
Step-by-step explanation:
Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:
50 / (2 + 3)
50/5
10
Milk chocolates: 2 x 10 = 20
Dark chocolates: 3 x 10 = 30
Therefore, the box contains 20 milk chocolates.
A rectangular lawn measures 6m by 10m. Angela is planning a mulch walkway of width "x" around the entire edge of the lawn. Write a function that represents the area of the lawn combined with the area of the walkway.
Answer:
The answer is 60
Step-by-step explanation:
All you have to do is 6x10=60
Andrew needs a ladder to hang holiday lights. His house is 24 feet tall and he has a flower bed that extends 4 feet out from the side of the house. How long of a ladder will he need to reach the top and be out of the flower bed?
Answer:
24.33 feet
Step-by-step explanation:
The flower bed, the ladder and the house form a right angled triangle where the length of the ladder is the hypotenuse side.
Let L = length of ladder, H = height of house = 24 feet and l = length of flower bed = 4 feet.
Using Pythagoras' theorem,
L² = H² + l²
So, L = √(H² + l²)
substituting the values of the variables, we have
L = √[(24 ft)² + (4 ft)²]
L = √[576 ft² + 16 ft²]
L = √[592 ft²]
L = 24.33 ft
The ladder must be at least 24.33 feet long to reach the top and be out of the flower bed
Condense - log b-z log d
Answer:
Step-by-step explanation:
Uses worked examples to demonstrate how to condense (or "simplify" or "compress") logarithmic expressions, converting strings of logs into one log expression.
Daniel has a coupon for $1.44 off
name-brand flour that usually costs
$9.12. The store-brand flour costs $8.86.
How much will Daniel save by using his
coupon to buy the name-brand flour,
instead of buying the store-brand?
I’m mostly struggling with the problem steps part I can do the first parts but then the other steps I struggle with.
Answer:
Daniel will save $1.18
Step-by-step explanation:
First, find the cost of the name-brand flour with the coupon:
Subtract 1.44 from the original price of 9.12:
9.12 - 1.44
= 7.68
So, the price of the name-brand flour with the coupon is $7.68
Now, find how much he will save by finding the difference between this price and the price of the store brand flour:
8.86 - 7.68
= 1.18
So, Daniel will save $1.18
HELP 60 PTS Write ln (a^2 b^3)/cd in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.
Answer:
the expanded form is (a^2 b^3)/cd = 0
Step-by-step explanation:
Answer:
2ln a + 3ln b - ln c - ln dStep-by-step explanation:
Expanding the given expression:
ln (a^2 b^3)/cd =ln a^2 + ln b^3 - ln cd =2ln a + 3ln b - ln c - ln dChristian had $80.45 in his bank account on Monday.He deposited $20.50 on Tuesday.He then withdrew 37.25 on Wednesday.How much did Christian have left in his account on Thursday?
Answer:
138.2
Step-by-step explanation:
Answer:
For thursday he had 63.70 $
Step-by-step explanation:
80.45 + 20.50 - 37.25
63.70
YA
6+
5
4
31
2+
1
LI
A
-6-5-4-3-2
-1
2 3
4
6
-1
-2
-5
-6-
The triangle is rotated 90° clockwise around the point (0,0).
What will be the coordinates of the image of point L after the rotation?
O A. (-2,6)
O C. (6,-2)
O B. (2,6)
OD. (6,2)
Answer:
Option D
Step-by-step explanation:
All of the points in the picture are on the same line
Answer:
what picture?
Step-by-step explanation:
Which expression gives the best estimate of 45 percent of 76?
One-fourth (80)
One-fifth (80)
One-half (80)
StartFraction 1 Over 9 EndFraction (80)
Answer:
1/2 of 80Step-by-step explanation:
45% is close to 1/2 (50%) and 76 is close to 80, so 1/2 of 80 is the best answer.
1/2 of 80 is 40
45% of 76 is 76 x 0.45 is 34.2
Answer:
1/2 of 80
Step-by-step explanation:
Rick found the are of this shape is 15 square unit. If he used a smaller unit square, would his measurement be greater than 15 squares units or less than 15 square units?
Answer:
greater
Step-by-step explanation:
this is true because it is like going from feet to inches 1ft=12in the number gets larger
substitute ×=3in the following equation to find y
5y - 2x=9
Answer:
y=3
Step-by-step explanation:
5y-2(3)=9
5y-6=9
+6 +6
5y=15
/5 /5
y=3
h(x) = -(x + 3)(x - 2)
Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)
Multiply
[tex](2 {x}^{2} + 3x - 7) \times (3 {x}^{2} - 5x + 14[/tex]
if travel 50 miles in 3 hours what is my rate in miles per hour
Answer:
16.6...
Step-by-step explanation:
A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $1 each with a one time start up cost of $5500. Their cost is represented by C = 1 x + 5500.
Answer:
ok so it should be 49500
PLS MARK BRAINLIEST I NEED IT TO GO UP
Enter the coordinates of the point
on the unit circle at the given angle.
45°
✓ [?]
2
2
Answer:
The coordinates for 45 degrees on the unit circle is (root2/2, root2/2)
Step-by-step explanation:
I am looking at the unit circle right now.
The co-ordinates are √2/2 , √2/2
What are co-ordinates of a circle?Simply enter the x and y values from your point if you know the equation for the circle (x,y). Check to determine if your added values are larger than, less than, or equal to the r² number after solving the issue. The point is outside the circle if it is greater.
A coordinate system exists as a system that utilizes one or more numbers, or coordinates, to uniquely specify the position of the points or other geometric elements on a manifold such as Euclidean space.
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In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?
A)
2/5
B)
3/4
C)
4/3
D)
5/2
Answer:
hi
Step-by-step explanation:
I'm anmol kulkar from India thanks for free points by
Answer:
The correct answer is B,
3/4.
Step-by-step explanation:
choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.
y=2x+b gives:
5r=2(2p)+b
5r=4p+b
b = 5r−4p.
Next, we can set the two equations equal to b equal to each other and simplify:
b=r−p=5r−4p
3p=4r
Finally, to find
r/p
divide both sides of the equation by p and by 4:
3p=4r
3=4r/p
3/4=r/p
here some points, what 50x47 -39(btw just give an answer)
How do i Simplify 12 to the 16th power over 12 to the 4th power?
Answer:
12^12
Step-by-step explanation:
12^16/12^4 cancel out to the power of 4 on the bottom and on top for an answer of 12^12