Answer:
Step-by-step explanation:
So initially you have a square piece of metal, 15" x 15". You cut out squares from the corners of each side with side length x.
So you'll have a sheet that looks something like this now (assuming the formatting works):
_____
__| |__
| |
|__ __|
|____|
Your original side length was 15, but it has now been reduced by x on each side, so you're now going to have a new side length of 15 - 2x
When you fold the box up, the box will have a height of just x.
So you have a base with lengths (15 - 2x) and (15 - 2x), and a height which is just x.
V = l*w*h
So
V = (15 - 2x)(15 - 2x)(x)
= 225x - 60x^2 + 4x^3
Hope this helps
Can someone help me, please!!!
Answer:
D
The line shows an intercept of -3 and a slope of 5/7. Equation D displays this
Step-by-step explanation:
Olivia took out 8 glasses and poured juice from the pitcher. The capacity of each
glass is 3/10 liter. If there was enough juice for 6 glasses, how much juice was
there?
1.8 Liters
olivia took out 8 glasses and poured juice from the pitcher.
The capacity of each glass is 3/10 liter.
If there was enough juice for 6 glasses.
This means that the amount of juice will be the total quantity of juice poured in 6 glasses.
Since, capacity of 1 glass= 3/10 liters=0.3 liters
Capacity of 6 glasses= 6×0.3=1.8 liters.
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
hello i really need ur help
Answer:
y=2x+-6
Step-by-step explanation:
Answer:
y=2x-4
Step-by-step explanation:
Goes up 2y for every one x and the y intercept is -4.
Metro cable tv tuvo ventas de 2500000 en su primer año de funcionamiento. Si a partir de entonces las ventas aumentaron 12% con respecto al año anterior, calcule las ventas de la empresa en el quinto año y las ventas totales durante los primeros 5 años de operación
Explicación paso a paso:
Dado
Principal = 2,500,000
Tasa = 12% (anual)
tiempo = 5 años
Incremento después del primer año = 12% de 2.500.000
= 12/100 * 2,500,000
= 12 * 25000
= 300.000
El monto al final de los 5 años se calculará utilizando la fórmula de interés compuesto;
A = P (1 + r) ^ n
A = 2500000 (1 + 0,12) ^ 5
A = 2500000 (1,12) ^ 5
A = 2500000 (1,7623)
A = 4.405.854,208
Por lo tanto, las ventas totales durante los primeros 5 años de operación son 4.405.854,208
Obtenga la cantidad obtenida en el quinto año
El monto al final de los 4 años se calculará utilizando la fórmula de interés compuesto;
A = P (1 + r) ^ n
A = 2500000 (1 + 0,12) ^ 4
A = 2500000 (1,12) ^ 4
A = 2500000 (1,5735)
A = 3.933.798,4
Utilidad obtenida en el quinto año = 4.405.854,208 - 3.933.798,4
A = 4.405.854,208 - 3.933.798,4
A = 472.055,808
Por lo tanto, la ganancia obtenida en el quinto año es de 472,055.808
Monto realizado en el quinto año = Principal + intereses en el quinto año
Monto realizado en el quinto año = 2500000 + 472,055.808
Monto realizado en el quinto año = 2,972,055.808
Hi, I just want to say have a great day! Remember to eat if you haven’t yet, and I love you! God Bless You :)
Answer:
Aww! Thanks! Have a great day as well!
Step-by-step explanation:
Sharon paid $78 on sales tax. The sales tax rate is 6.5%, what was the cost of the camera?
Please help, I've been trying for an hour now my assignment is past due.
Answer:
Multiply $78 * 0.065 which equals = 5.07
So $78 + 5.07 equals 83.07
Step-by-step explanation:
At Walmart, apples cost $0.50 each, and grapefruits cost $2 each. You want to spend exactly $15.
Define all unknown variables. Write an equation modeling this situation.
(Please don't forget to write the equation :D)
(Worth 20 points!! :D :D)
Define the variables: a is the number of apples I can buy g is the number of grapefruits I can buy.
Write the equation: 15 = 0.50a + 2g
I need helping figuring out the volumes for these questions.
well, for future reference. you mutiply length x width x height to get the volume.
1. 315
2. 1,152
3. 90
4. 700
5. 294
6. 847
7. 1,331
8. 672
We went over this like 3 times. It sounds and looks like pure gibberish
Answer:
3 pencils
Step-by-step explanation:
eraser= 0.25
pencil= 0.75
2(0.25)= cost of erasers
0.5 + p=2.75 (p=pencils)
-0.5 -0,5
p=2.25
divide 2.25 by 0.75
=3
Combining like terms of 8x - 7x + 5 - 9x + 3, simplifies the expression to:
Answer:
-8x+8
Step-by-step explanation:
8x-7x=x-9x=-8x
5+3=8
HELP PLEASE I NEED ALL 5 of these done by thanksgiving
Answer:
1a) 75 degrees
1b) 105 degrees
1c) 75 degrees
1d) 105 degrees
Slope of AC: -1.5x
Slope of XY: -2/3x
Neither: Why? The slope of AC and XY are not the same, so they are not parallel. They are not perpendicular either because being perpendicular means that the slopes must be the negative reciprocal, which it is not.
Step-by-step explanation:
Evaluate a2 - 6 for a = 4 and b = 17
Answer:
The answer is -94 but where is b
Step-by-step explanation:
2(4)-6(17)=-94
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim's head to the furthest tip of the shadow is 13 feet. A right triangle with side length 6 feet, s, and hypotenuse 13 feet. [Not drawn to scale] What is the length of Fahim's shadow? Round to the nearest tenth of a foot. 7.0 feet 8.5 feet 11.5 feet 14.3 feet
Answer: 11.5 feet
Step-by-step explanation:
We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:
Let the length of Fahims shadow be x
hypotenuse² = opposite² + adjacent ²
13² = 6² + x²
169 = 36 + x²
x² = 169 - 36
x² = 133
x =✓133
x = 11.53
= 11.5 feet to nearest tenth
Answer:
11.5 feet
Step-by-step explanation:
Fahim been drinkin up on tht pediasure ain he.
John bought 8 bottles of 1.5 liters of coke and 7 bottles of 2 liters of juice for his birthday party. How many more liters of juice than coke did he buy?
Answer:
2 more liters of juice
Step-by-step explanation:
John bought a total of 12 liters of coke and a total of 14 liters of juice.
As a result, 14 - 12 = 2
He bought two more liters of juice than coke!
Hope this helps! Smiles and hugs,
SlytherinWolf
P.S. I hope your day gets better, you totally deserve it. ☺
Answer:
2 Liters
Step-by-step explanation:
1. Multiply 1.5 times 8.
1.5 x 8 = 12 L
2. Multiply 7 times 2.
7 x 2 = 14 L
3. Subtract the amount of coke from the amount of juice.
14 - 12 = 2 L
2 LITERS MORE
hope this helps, let me know if you have any questions! <3
Which table represents y as. Function of x?
PLEASE HELP...I WILL GIVE BRAINLIEST AND THANKS
A)On the grid, draw the graphs of y=x+2 and x+y=3
b) use the graph to solve the simultaneous linear equations y=x+2 and x+y=3
9514 1404 393
Answer:
see the attachment for a graph
(x, y) = (0.5, 2.5)
Step-by-step explanation:
The first equation has a slope of 1 and a y-intercept of 2.
The second equation has a slope of -1 and a y-intercept of 3.
The two lines cross at the point (0.5, 2.5), which is the solution to the system of equations.
Answer:
a) Sorry, I submitted the question before screen clipping the graph
b) X=0.5 Y=2.5
Step-by-step explanation:
Draw both lines, and the coordinates which the 2 lines cross at equals x and y.
Find the value of x in the figure given that SU = 133.
A) 7
B) 9
C) 11
D) 8
Answer:
The answer is 9 (B)
Step-by-step explanation:
I got 9 because you have to plug in answer (7, 9, 11, 8) in each equation than add them both together. I first plugged in 7 for x in the equation 9x-5. I got 58. I plugged in 7 for x in the equation 5x+12 and got 47. When I added both the answers together I got 105. The answer was to low because SU has to be 133. I plugged in 9 for x in both equations then added them both and got 133 for SU. I hope this helps.
Answer:
B
Step-by-step explanation:
given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.
(-4,1);m=-2/3
Answer:
y=[tex]-\frac{2}{3}[/tex]x[tex]-\frac{5}{3}[/tex]
Step-by-step explanation:
y=mx+c
y= [tex]-\frac{2}{3}[/tex]x+c
substitute (-4;1)
1=-[tex]-\frac{2}{3}[/tex](-4) +c
1-[tex]\frac{8}{3}[/tex]=c
c=[tex]-\frac{5}{3}[/tex]
Answer:
Step-by-step explanation:
answer on edmentum
Please help me out!
Please help.
George purchased a concert ticket on a web site. The original price of
the ticket was $85. He used a coupon code to receive a 15% discount.
The website applied a 10% service fee to the discounted price. George's
ticket was less that the original price by what percent?
15%
10%
6.5%
8.5%
Answer:
6.5%
Step-by-step explanation:
The original price of the ticket was 100% of the price of the ticket.
The 15% coupe reduced the price to 85% of the price of the ticket.
The 10% fee on the discounted price adds 10% of 85% to 85%, so it adds 8.5% to 85%. By adding the fee he is at 93.5% of the original price.
100% - 93.5% = 6.5%
The overall percent off compared to the original price was 6.5%.
Answer: 6.5%
Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d. functions Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Evaluate k 3 m if k = 2 and m = 7.
Slice the proportion below: m/5=28/20
Answer:
m = 7
Step-by-step explanation:
Given
[tex]\frac{m}{5}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20m = 140 ( divide both sides by 20 )
m = 7
a pen is randomly picked from a box that contains 12 red pen,13 blue pen and 5 black pen. calculate the probability of getting a black pen.
Find Percent of a Number - Instruction Level
During a basketball game, DeShawn made 24 baskets out of 30 shots. Cody made 18 baskets
out of 20 shots. Who made a greater percent of their shots?
) What percent of his shots did DeShawn make?
Answer:
1. Cody made a greater percentage (i.e 90%) of his shots
2. Deshown made 80% of his shots
Step-by-step explanation:
To know who have a higher percentage, let us calculate their individual percentage. This is illustrated below:
For Deshown,
He made 24 baskets out of 30 shots.
The percentage of shot made = 24/30 x 100 = 80%
For Cody,
He made 18 baskets
out of 20 shots
Step-by-step explanation:
What is the sum of the expression (8 − 4i) + (−2 + 7i)?
Answer:
Your answer is: [tex]6+3i[/tex]
Simplify by combining the real and imaginary parts of each expression.
Step-by-step explanation:
Hope this helped : )
On a piece of paper graph, y < -2x
and then give me a picture of this paper so i can see what it looks like
Answer:
Step-by-step explanation:
This is a dotted line.
The baker can make 28 cakes
in 7 days. How many cakes can
the baker make in 5 days?
Answer:
20 cakes
Step-by-step explanation:
28/7=4 cakes per day
4x5= 20
20 cakes in 5 days
Hope it helps :)
Answer:
20 cakes in 5 days
Step-by-step explanation:
To find this, we need to find out how much he can make in 1 day.
So divide 7 by 7 and 28 by 7 and get 4 cakes in 1 day.
After we got 4 cakes each day, we multiply it by 5 to see how much we get in 5 days and get 20 cakes in 5 days.
Hope this helps! PLEASE mark brainliest!
What is the y-intercept from the following ordered pairs? (-2,0)(0,4)(2,8)(4,12)
Answer: y intercept = 4
The y intercept always occurs when x = 0. This is the location where the graph crosses the y axis. From the list of points, we see that (0,4) is the location of the y intercept. We can say the y intercept is 4.