Answer:
C. y= 105(1+0.05)^x
Step-by-step explanation:
y = a(1 + r)t the formula
Q2. In a camp food was enough for 400 people for 23 days. If 60 more people joined the camp, find the number of days the food will last?
Q3. Given that y is directly proportional to x and that y= 40 when x= 200, find the value of
(a) y when x= 15
(b) x when y= 8
Q4. If y is inversely proportional to x and that y= 8 when x= 30, find the value of:
(a) the value of y when x= 4
(b) the value of x when y= 360
Answer:
Q2)
We have food for 400 people, and it will last for 23 days.
Then we have an inverse relation, where the number of days decreases as the number of people increases, this means that we have a relationship like:
23 days = K/400 people.
Then we get:
(23 days)*(400 people) = K = 9200 days*people.
Now if we increase the number of people by 60, we get.
people = 460
Then the number of days that this will last is:
D = (9200 days*people)/460 people = 20 days.
The food will last for 20 days.
Q3) We have a proportional relationship (y = k*x) such that y = 40 when x = 200, then we get:
40 = k*200
With this, we can find the value of k
40/200 = k = 0.2
Then the proportional relationship is:
y = 0.2*x
a) We need to replace x by 15.
y = 0.2*15 = 3
y = 3
b) We need to replace y by 8.
8 = 0.2*x
8/0.2 = x = 40
x = 40
Q3) y is inversely proportional to x (y = k/x), and y = 8 when x = 30.
Then we get:
8 = k/30
Then the value of k is:
8*30 = k = 240
then the relationship is:
y = 240/x
a) we need to replace x by 4
y = 240/4 = 60
y = 60
b) we need to replace y by 360
360 = 240/x
360*x = 240
x = 240/360 = 0.666...
x = 0.666...
what is the slope of a line that goes through these 2 points? (-2, 1) (2, -3)
Answer:
-1
Step-by-step explanation:
Para embaldosar un salon de 48 metros cubicos de area se han necesitado 375 tablas rectangulares en las cuales un lado medira 8 cm menos que el otro . Encuentra las dimensiones de las tablas.
please help marking brainlist
Answer:
-3
Step-by-step explanation:
-9/3=-3
Answer:
-3
Step-by-step explanation:
-3 times 3 equals -9
Help me i will give brainliest...Have a goodnight
Answer:
apparently 6 sq in.
Step-by-step explanation:
Which of the following ordered pairs is a possible solution to the equation y=1/2x+3 ?
a) (0, 3)
b) (1, -2.5)
c) (0, -3)
d) (-1, -2.5)
Roger jarred 15 liters of jam after 2 days. How much jam did Roger jar if he spent 6 days making jam?
Answer: 45 liters
Step-by-step explanation:
If Roger jars 15 liters of jam in 2 days, we can divide to see how much liters of jam Roger can jar in 1 day. We can divide 15 by 2 to find how much jam can be jarred in one day.
15 / 2 = 7.5.
Roger can jar 7.5 liters of jam every day.
Now we can multiply 7.5 by 6 to find how much jam Roger can jar at the end of 6 days.
7.5 x 6 = 45.
Therefore, Roger can jar 45 liters of jam in 6 days.
Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle a total of 66 kilograms of paper? Solve using unit rates.
What is the volume of a cube with an edge length
of 2/3 foot?
Answer:
V= 512 inches or, 42.67 feet
Step-by-step explanation:
So a cube has the same length on all sides so you would multiply length times with times area or V = a^3
So, 2/3 foot is equal to 8 inches so you would do V = 8^3 which would get you the answer,
what is 8 + g = 15? just need the answer
Step-by-step explanation:
8 + g = 15
g = 15 - 8
g = 7
Hope it will help :)
At the airport, the car rental store charges a $25.00 initial rental fee and $30.00
an hour to use the car. What is the total cost of renting the car for 3 hours?
Answer:
115$
Step-by-step explanation:
first multiply 30 by 3 which equals 90next add the 25$ fee which would equal 115$Question 7 of 10
The radius of Saturn is 60,268 kilometers. What is its diameter?
A. 30,134 kilometers
B. 120,536 kilometers
C. 60,500 kilometers
D. 30,528 kilometers
Answer:
I would believe the diameter would be B, if not A
Step-by-step explanation:
Answer:
the answer for this problem should be 120,536
The Patel family looks at map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 3 3/4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 5 1/4 inches apart on the map. The scale on the map is 1/2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box
Answer: 72 miles
Step-by-step explanation:
The total distance from Smithville to Clarksville will be:
= 3 3/4 + 5 1/4
= 9 inches
Since the scale on the map is:
1/2 inch = 4 miles
1 inch = 4 × 2 = 8 miles
Therefore, 9 inches will be:
= 9 × 8 = 72 miles
The actual distance that the Patel family will travel by the time they reach Clarksville will be 72 miles.
What is the slope of the line that passes through these two points (10, 20) and (13, 30)?Show your work
Answer:
(y-y1)/(x-x1)=(y2-y1)/x2-x1)
(y-20)/(x-10)=(30-20)/(13-10)
......
now you can easily solve it
Two point form
Find the 18th term of the arithmetic sequence whose common difference is d=5 and whose first term is a = 4.
Answer:
Step-by-step explanation:
a₁₈ = a₁+(18-1)d = 4+17·5 = 89
PLEASE HELP ILL GIVE BRAIN
Answer:
Step-by-step explanation:
15. (-4-3)/(-5-0)= -7/-5= 7/5
y - 3 = 7/5x - 0
y = 7/5x + 3
16. (-2-3)/(4-0)= -5/4
y - 3 = -5/4x - 0
y = -5/4x + 3
17. (-3+5)/(0+3)= 2/3
y + 5 = 2/3(x + 3)
y + 5 = 2/3x + 2
y = 2/3x - 3
18. (-2-2)/(0+4)= -4/4= -1
y - 2 = -1(x + 4)
y - 2 = -x - 4
y = -x - 2
19. y - 3 = 1/2x - 0
y = 1/2x + 3
20. y - 2 = -(x + 1)
y - 2 = -x - 1
y = -x + 1
21. perp. -5/3
y + 5 = -5/3x + 0
y = -5/3x - 5
22. perp. 1/2
y + 1 = 1/2(x + 4)
y + 1 = 1/2x + 2
y = 1/2x + 1
23. perp. 3/4
y + 5 = 3/4(x + 4)
y + 5 = 3/4x + 3
y = 3/4x - 2
24. perp. 7/5
y - 4 = 7/5(x - 5)
y - 4 = 7/5x - 7
y = 7/5x - 3
Complete the square to re-write the quadratic function in vertex form:
y = x2 + 72 +6
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
2+[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]
Answer:
x = -19/4
Step-by-step explanation:
Given the equation 2+3/4x = 5/12. We are to find the value of x
2+3/4x = 5/12.
3/4 x = 5/12 - 2
3/4 x = (5-24)/12
3/4 x = -19/12
Cross multiply
3x * 12 = -19 * 4
36x = -76
x = -76/36
x = -19/4
could you pls find the surface area
Step-by-step explanation:
to find the area of the prism the given formula is,
perimeter× height
If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? * 1 point
Answer:
25
Step-by-step explanation:
15/6.0=2.5
2.5x4=10
2.5x6=15
10+15=25
10 boys and 15 girls
Answer:
25
Step-by-step explanation:
Let's set up "x" as the total number of students. So now we can set up an equation:
40%x+15=x rewritten as:
.4x+15=x Subtract .4x from both sides will give us:
15=.6x Now divide each side by .6 to be:
25=x Therefore we know there are 25 students in the class.
Make sense?
What is the answer to -3/7 ÷ 3/8 in simplest form?
Please solve needed as soon as possible thank you I really appreciate it
Answer:
143
Step-by-step explanation:
Substitute n=3 into the problem
6([tex]3^{3}[/tex])-2([tex]3^{2}[/tex]) +3-4
Then figure out squared and power by 3
6(27)-2(9)+3-4
Next multiply
162-18+3-4
Finally, add and subtract
144+3=147
147-4=143
Follow the steps below to create an expression:
Start with the variable x
. Multiply by 4
. Add 3
. Multiply by 2
Subtract 7
Please help me out
Answer:
4x+3(2)-7
Step-by-step explanation:
Eugene can beat two levels every hour how many levels can he completed 3.5 hours
Answer:
~6.5 Levels
Step-by-step explanation:
2 levels every hour = 2:1
we take that ratio and multiply it by 3 for starters:
6 and half of our ratio
basically 6.5
Construct a 95% confidence interval for the true difference in proportions of male and female smokers. Use p1^ for the proportion of men who smoke. Round your answers to three decimal places.
Answer:
ok?
Step-by-step explanation:
It takes Evan 6 3/4 hours to mow 3 lawns .It takes him 2 1/3 hours to mow
Answer:
It takes him hours to mow the third lawn
Explanation:
We are given that Evan takes hours to mow Mr. Gals lawn and hours to mow Mrs. Lee's lawn
This means that:
Time taken to mow the two lawns = hours
Now, we are given that the time taken to mow the three lawns is hours
This means that:
Time taken to mow the third lawn = hours
Hope this helps :)
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
16
17.5
20.5
22
35
Answer:
16 million
Step-by-step explanation:
see the explanation attached above
Question 3 of 10
The triangles shown below must be congruent.
600
60
12
12
2010
61°
O A. True
B. False
PLEASE I NEED THE ANSWER NOW 11 POINTS FOR CORRECT ANSWER BRAINLIEST TOO
Answer:
I believe its 3.3m
Step-by-step explanation:
I haven't taken geometry in a few years so sorry if its wrong
Annie wants to create a right triangle with side lengths 12 centimeters, 35 centimeters, and
37 centimeters.
Is this possible? Why or why not?
Yes, because 12 + 35 is not equal to 37.
Yes, because 12? + 352 is equal to 372
No, because 12 + 35 is greater than 37.
No, because 12? + 352 is less than 372.
Answer: yes because 12^2+35^2=37^2
Step-by-step explanation: