Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).
[tex]w\propto n[/tex]
[tex]w=2.5n[/tex] (Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
Answer:
45
Step-by-step
I just did 18 * 2.5!
It a simple answer!
The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45
Find the slope of a line passing through the points (3,2) and (-1,8).
Answer:
[tex]m=-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m= \frac{8-2}{-1-3}[/tex]
[tex]m=-\frac{6}{4}[/tex]
Simplify
[tex]m=-\frac{3}{2}[/tex]
What's one way we can check our answer to 2 x10 = 20?
A. 20 : 10 = 2
B. 2 : 10 = 20
C. 20 x 10 = 2
Answer:
A (does : mean division? If so then A is correct)
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 1
xy 0
2. A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
(1 point)
no more than 50
no more than 45
no less than 50
no less than 45
3. It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
56 miles per hour
30 miles per hour
64 miles per hour
50 miles per hour
4. Raphael is timing how fast he can do a series of 5 math questions, aiming to complete them in less than 20 minutes. He has done 3 questions so far, with each of them taking 3 minutes to complete.
On average, how much time does Raphael have on each remaining question so he can reach his goal?
Raphael has no more than 5 minutes and 50 seconds to complete each remaining question.
Raphael has less than 5 minutes and 50 seconds to complete each remaining question.
Raphael has less than 5 minutes and 30 seconds to complete each remaining question.
Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.
5. A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?
no more than $150
less than $250
less than $150
no more than $250
Answer:
1, no more than 50
2. 50 miles per hour
3.Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.
4. less than 4250
Step-by-step explanation:
find the e correctly
if u get a correct answer u will get brainliest!
PLZZZ HELPPP!! THIS IS TIMEDDD!!!! *look at picture*
A ABC is a dilation of A JHG centered at the origin.
Find the scale factor of the dilation.
A. 3
B. 4
C. 2
D. 8
Answer: I think 4
Step-by-step explanation:
In 2013, Blue Ridge Parkway was visited by about 1.9 x 107 people. That same year, Great Smoky Mountains National Park was visited by about 9.3 x 106 people. How many more people visited Blue Ridge Parkway than Great Smoky Mountains National Park in 2013?
Answer:
um
Step-by-step explanation:
who mISSES SCHOOL? because i dont rlly...
Not at all, I was doing online school before quarantine started, so this is all normal for me lol
1. Find the error & explain why it is wrong:
Amari rakes leaves for $10.85 per yard. If Amarirakes 5 yards, how much money does he have?
Answer:
$54.25
Step-by-step explanation:
Answer:
54.25$ for raking 5 yards
Step-by-step explanation:
help me pls UoU Uwu
\djjn
Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
[tex]\frac{18-14}{1-0}[/tex]
Simplify:
18 - 14 = 4
1 - 0 = 1
[tex]\frac{4}{1}=4[/tex]
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
which inequality matches the graph?
Answer:
The inequality -3x + 2y ≥ 7 matches the graph ⇒ D
Step-by-step explanation:
The slope of the line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]
From the given graph
∵ The direction of the line is increased from left to right
∴ The slope of the line is positive
∵ The line is solid and the shaded area is over the line
∴ The sign of inequality should be ≥
→ We have only one answer that has a sign of inequality ≥, let us check
its slope
∵ -3x + 2y ≥ 7
∴ a = -3 and b = 2
∵ m = [tex]\frac{-a}{b}[/tex]
∴ m = [tex]\frac{-(-3)}{2}[/tex] = [tex]\frac{3}{2}[/tex]
∴ The slope of the line is positive
∴ The inequality -3x + 2y ≥ 7 matches the graph
5, 2, -1, -4
What is the next term in the sequence?
How did you find this number?
Answer:
-7 - 10
Step-by-step explanation:
Take it away from 3
Answer:
the next term is -7, they subtracted 3
Step-by-step explanation:
I found the difference between 5 and 2
1) 5-3=2
2)2-3=-1
3)-1-3=-4
4) -4-3=-7
They each subtract 3
The water level in a reservoir is now 52 meters. If this was a 23% increase, what was the initial depth?
Answer:
40.04
Step-by-step explanation:
It was at 40.04 before the 23% increase. To find 23 % of 52 set it up as a inequality.
x/52 = 23/100
Cross multiply
52 * 23 = 1,196 100 * x =100x
Now solve for x.
100x /100 = 1,196/100 x = 11.96
Subtract answer from 52 to get answer
52 - 11.96 = 40.04
help me answer 2/9 divided by 1/6
1.33333
Step-by-step explanation:
Don't worry it checks out.
Answer:
1.33333333333
Step-by-step explanation:
4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!
Answer: 12
Step-by-step explanation:
PLEASE HELP ASAP!!! MAKE SURE YOU KNOW YOU’RE CORRECT (sometimes people put wrong answers)
Question in picture solve
Find f(-3) if f(x) = x 2.
Answer:
...
Step-by-step explanation:
Find the 11th term of the arithmetic sequence 1, 4, 7, 10, ...
Answer:
Step-by-step explanation:
1,4,7,10
r=3
a1+10r=a11
a1+30=a11
a1=1
a11=31
Answer:
[tex]a1 = 1 \\ d = 4 - 1 = 3 \\ a11 = a1 + 10d \\ a11 = 1 + 10 \times 3 \\a11 = 1 + 30 = 31 \\ thank \: you[/tex]
can a hexagon have angles that measures 85,62,135,173,and 160
Answer:
If the sum of those angles adds up to 720 degrees, then they can be the angles of a hexagon. Your sum is 615.
Step-by-step explanation:
Hope that helps!
The sum of the digits of a two digit number is eight the digits are reversed the number increases by 18 find the original number
Answer:
The two digit number is 35.
Step-by-step explanation:
Let xy be the two digit number
According to given statement
[tex]x+y = 8\ \ \ \ Eqn\ 1[/tex]
The place value of xy is 10x+y
Reversing the number will be: 10y+x
It is also mentioned that the new number is previous number increase by 18
So,
[tex]10y+x = 10x+y+18\\10y-y+x-10x = 18\\9y-9x = 18\\9(y-x) = 18\\\frac{9(y-x)}{9} = \frac{18}{9}\\y-x = 2\ \ \ Eqn\ 2[/tex]
From equation 2
[tex]y = 2+x[/tex]
Putting in equation 1
[tex]x+y = 8\\x+2+x = 8\\2x+2 = 8\\2x = 8-2\\2x = 6\\\frac{2x}{2} = \frac{6}{2}\\x = 3[/tex]
Putting x = 3 in equation 1
[tex]3+y = 8\\y = 8-3 = 5[/tex]
xy = 35
Hence,
The two digit number is 35.
Evaluate when c=5 and d=10
5 x d ÷ c + 2=12
Step-by-step explanation:
First we need to remember the rule of PEMDAS and then simplify.
5×10/5+2=12
Multiply
50/5+2=12
Divide
10+2=12
Add
12=12
PLEASE HELP, WILL MARK BRAINLIEST !!!
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 3 ] , then
f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2
f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus
average rate of change = [tex]\frac{-2-12}{3-(-4)}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2
A bakery mixes cookie dough in large batches. For chocolate chip cookies,10 cups of sugar and 20 cups of flour are needed. Write the ratio of sugar to flour for chocolate chip cookies. Express your answer as a simplified ratio.
Answer:
1 cup of sugar for every 2 cups of flour 1:2
Step-by-step explanation:
The ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A bakery mixes cookie dough in large batches.
For chocolate chip cookies, 10 cups (2,365.88 ml) of sugar and 20 cups (4,731.76 ml) of flour are needed.
Then the ratio of sugar to flour for chocolate chip cookies to maintain the same taste, will be
Let S be the amount of sugar and F be the amount of the flour.
Then the ratio of sugar to flour will be
S / F = 10 / 20
S / F = 1 / 2
Thus, the ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
only question 3 A and B please thank you
Answer:
smell my feet nnnnnnnnnsdsdsdnnnsdsdnigdsga
Step-by-step explanation:
what is the possibility that a randomly selected person is on the swim team
Express the probability as a percent rounded to the nearest tenth of a percent
Answer:
What is the probability that a randomly selected person is on the swim team?
28 out of 67 people are on the swim team
so that's 28/67
41.7910448% round to the nearest tenth
41.8% is the answer.
Step-by-step explanation:
PLEASE PLEASE HELP I WILL GIVE BRAINALSIT
Answer:
On the first one the answer is 420 so you would have to go up and write 360 then 420 and down on 360 youll put 6 minutes and on 420 youll put 7 minutes and then you will write that the answer is 420
Hope this helps
What is the solution to the inequality ?
what is the surface area of the triangular prism represented by the net below?
9514 1404 393
Answer:
608 cm²
Step-by-step explanation:
The central rectangle is 10+12+10 = 32 cm high and 16 cm wide. Its area is ...
A = LW = (32 cm)(16 cm) = 512 cm²
Each of the two triangles on the side have an area of ...
A = 1/2bh = (1/2)(12 cm)(8 cm) = 48 cm²
There are two triangles and one rectangle, so the total surface area is ...
total area = rectangle area + 2 · triangle area
total area = 512 cm² +2(48 cm²) = 608 cm²
An office spends $350 per month on office supplies. The manager
wants the company to decrease office supply costs by 16%. How
much money would that save each month?
А
$334
his
B $54
C $294
D $56