Answer:
Option D. [tex](\frac{1}{16}) ft^{3}[/tex]
Step-by-step explanation:
Since formula to find volume of a cube is V = (side)³
and one side of the cube is [tex](\frac{1}{4})[/tex] foot
Therefore, volume of the cube will be
V = [tex](\frac{1}{4})[/tex]³
We have to calculate the volume of 4 cubes
4 × V = 4 × [tex](\frac{1}{4})[/tex]³
= [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]
Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.
Which planet is 10 times as far as earth is from the Sun
Haley and Samuel can each make one gift box in two hours. Rachael takes three hours to make the gift box alone. If Haley, Samuel, and Rachael work together, how long will it take them to make one gift box?
It will take 40 minutes for them to make one gift box.
Combined ratesGiven that Haley and Samuel can each make one gift box in two hours, while Rachael takes three hours to make the gift box alone, to determine, if Haley, Samuel, and Rachael work together, how long will it take them to make one gift box, the following calculation must be performed, using combined rates:
1/2 + 1/2 + 1/3 = X3/6 + 3/6 + 2/6 = X8/6 = X6/6 = 1 hour8/6 = 40 minutesTherefore, it will take 40 minutes for them to make one gift box.
Learn more about combined rates in https://brainly.com/question/10729109
#SPJ1
Answer:It will take 40 minutes for them to make one gift box
Step-by-step explanation:
The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
(a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.
Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service charges. Company B charges $8 per hour and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)
Part B: Which company would charge less for renting a truck for 8 hours? Justify your answer. (3 points)
Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 2 hours? (3 points)
If the APY of a savings account is 2.4% and if the principal in the savings account is $2200 for an entire year, what will be the balance of the savings account after all the interest is paid for the year? A. $2200 B. $2252.80 C. $2300 D. $2205.28
To solve this problem, we must recall that the formula for money with compound interest is calculated as:
Total = Principal × ( 1 + Rate ) ^ n
Total = $2,200 × ( 1 + 0.024 ) ^ 1
Total = $2,252.80
Therefore the answer is letter B.
Find the value of X in the problem below. Geometry
(3x+10) +14x = 180
17x +10 = 180
17x=170
x = 170/17 = 10
x = 10
What is the area of a triangle that has a height of 4 feet and a base length of 9 feet? 18 feet2 36 feet2 144 feet2 324 feet2
18 feet is the answer hope this helps!!
Which is a unit rate ? 4 dollars to 3 cans 5 students to 2 teachers 6 hours and 1 book 3 miles 2 days
Answer:
6 hours to 1 book
Step-by-step explanation:
If n = 8 and 16 • 2m = 4n – 8, then m = ?
Final answer:
The value of m is 0.75 when n = 8 and the equation 16 • 2m = 4n – 8 is satisfied, by performing simple algebraic operations to isolate and solve for m.
Explanation:
To find the value of m when n = 8 and 16 • 2m = 4n – 8, we first replace n with 8 in the second equation:
16 • 2m = 4(8) – 8
16 • 2m = 32 – 8
16 • 2m = 24
Now we divide both sides of the equation by 16 to isolate 2m:
2m = 24 / 16
2m = 1.5
Finally, to find m, we divide both sides of the equation by 2:
m = 1.5 / 2
m = 0.75
So the value of m that satisfies the given conditions is 0.75.
A recipe for muffins calls for 3⁄5 of a cup of sugar and 4 cups of flour. If you want to make a bigger batch, using 5 cups of flour, how much sugar will you need?
A triangle has angles that measure 30, 60, 90. The hypotenuse of the triangle measures 10 inches. Which is the best estimate for the perimeter of the triangle?
Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?
Final answer:
The time it takes for two trains traveling towards each other at speeds of 80 mph and 100 mph, and starting 252 miles apart, is found by dividing the distance by their combined relative speed. It takes them 1.4 hours or 1 hour and 24 minutes to meet.
Explanation:
To solve the problem of calculating the time it takes for two trains to meet, we need to understand the concept of relative speed in motion problems. When two objects move towards each other, their relative speed is the sum of their individual speeds. In this case, one train travels at 80 miles per hour and the other at 100 miles per hour, giving us a combined relative speed of 80 mph + 100 mph = 180 mph.
The distance between the two trains is 252 miles, and to find the time taken for the trains to meet, we divide the total distance by the relative speed:
Time = Distance / Relative Speed
Time = 252 miles / 180 mph
Time = 1.4 hours or 1 hour and 24 minutes for the two trains to meet.
Which is an obtuse angle?
∠CAB
∠BAC
∠BCA
∠ABC
Write an equation ten times the sum of half a number and 6 is 8.
Express without negative exponents
1/5^-1 = 5
.4^-2 = 6.25
so it would be 5 x 6.25
K+3d=8c-8d
solve for d
Please help me :) Thanks!
An angle measures 20° more than the measure of a complementary angle. What is the measure of each angle?
how to write unit form for (2 tens 1 one) x 10
2. If you have budgeted 12% of your monthly income for groceries, how much can you spend on groceries if you earn $950 bi-weekly?
bi weekly means you get paid every 2 weeks ( 2 times a month)
950*2 = 1900 per month for pay
1900*0.12 = 228 a month for food
Answer:
if you earn $950 bi-weekly, you earn 2 x 950 = $1900 per month. If you have budgeted 12% of your monthly income for groceries you need to find 12% of $1900: (1900 / 100) x 12 = 228. Answer: you can spend $228 a month on groceries.
An architectural drawing lists the scale as 1/4 = 1. If a bedroom measures 3 1/2 by 5 1/4 on the drawing, how large is the bedroom
Answer:
The measure of the bedroom is 14 by 21
Step-by-step explanation:
This scale represents the every measure in the drawing is a 1/4 of the original measure, so to find the original measure you must multiply the measure you find in the drawing by 4.
So for the beadroom (3 1/2, 5 1/4), you multiply each one by 4
The real measures of the beadroom are:
(3 1/2 * 4, 5 1/4 * 4)
(14,21)
The measure of the bedroom is 14 by 21
Everett made 3/5 of the baskets he shot. Suppose he shot 60 baskets. How many did he make?
Which of the following best describes the expression 6(y + 3)?
1.)The product of two constant factors six and three plus a variable
2.)The sum of two constant factors six and three plus a variable
3.)The product of a constant factor of six and a factor with the sum of two terms
4.)The sum of a constant factor of three and a factor with the product of two terms
Answer: Hence, option '3' is correct.
Step-by-step explanation:
Since we have given that
[tex]6(y+3)[/tex]
This expression can be written in statement.
Here, we can see that there are two terms:
1) A constant factor of 6
2) Sum of two terms
So, according to options it can be written as :
The product of constant factor of 6 and a factor with the sum of two terms i.e. y and 3.
Hence, option '3' is correct.
Which factor does the width of the peak of a normal curve depend on?
Answer: The width of the peak depends on the Standard Deviation. The standard deviation is a measure used to quantify the variation or dispersion in the data set. If the standard deviation is low, this means that the set of data tends to be closer to the mean, then the width of the peak in the normal curve is small, for other part if the standard deviation is big, this means that the variation is big and the data set is more spread, this causes that the width of peak to be larger.
Solve the equation for the letter L: A=LW
L = AW
L equals W over A
L = A − W
none of the above
HELPPPPPPPPPPPPPPPPPPPP
How to simplify the expression 60/(-4)
If p-1 is a factor of p^4+p^2+p-k the value of k is
The value of k is 3 if p - 1 is a factor of [tex]p^4+p^2+p-k[/tex]
How to determine the value of k?The expression is given as:
[tex]p^4+p^2+p-k[/tex]
The factor is given as:
p - 1
Set the factor to 0
p - 1 = 0
Add to both sides
p = 1
Substitute 1 for p in the expression and equate it to 0
[tex]1^4+1^2+1-k = 0[/tex]
Evaluate the exponents
1+1+1-k = 0
Evaluate the sum
3-k = 0
Add k to both sides
k = 3
Hence, the value of k is 3 if p - 1 is a factor of [tex]p^4+p^2+p-k[/tex]
Read more about factors at:
https://brainly.com/question/723406
#SPJ2
A car dealer recently sold five cars for the following profits: $10,126, $9,999, $12,398, $12,007, and $4,567. What was the mean for the profits of the sales?
Answer:
$9819.4
Step-by-step explanation:
We have been given that a car dealer recently sold five cars for the following profits: $10,126, $9,999, $12,398, $12,007, and $4,567. We are asked to find the mean for the profits of the sales.
Since mean is the average of numbers. So let us add all the profits and divide the sum of profits by number of cars.
[tex]\text{Mean for the profits of the sales}=\frac{10126+9999+12398+12007+4567}{5}[/tex]
[tex]\text{Mean for the profits of the sales}=\frac{49097}{5}[/tex]
[tex]\text{Mean for the profits of the sales}=9819.4[/tex]
Therefore, the mean for the profits of sales is $9819.4.
11 POINTS GUYS PLZ
Answer 12 and 14
12) 10.77 + 2.09 + 0.75 = 13.61
13.61 x 1.07 = $14.56
total amount = $14.56
14) C shows the possible combinations