Answer:
t = 8, t = 4
Step-by-step explanation:
-t² + 12t = 32
-t² + 12t - 32 = 0 (Subtracted 32 on both sides.)
t² - 12t + 32 = 0 (Divided by -1 on both sides.)
(t - 8)(t - 4) = 0 (Factor.)
t - 8 = 0 t - 4 = 0
t = 8 t = 4
Which quantity is proportional to 12⁄4?
Answer:
3
Step-by-step explanation:
12 / 4 = 3
4 can go into 12 three times, so the fraction 12/4 is equal to 3
what is 6.08 rounded to the nearest tenth
Answer:
6.1
Step-by-step explanation:
anything 5 and over you round to one, so .08 turns into .1 :) glad i could help
The given decimal number is rounded to the nearest tenth as 6.1.
The given decimal number is 6.08.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Here, in 6.08 digit in the hundredths place is 8, which is greater than 5.
So, the digit in the tens place increased by 1 and digits after tens place becomes zero.
That is, 6.10
Therefore, the given decimal number is rounded to the nearest tenth as 6.1.
To learn more about the rounding off numbers visit:
brainly.com/question/13391706.
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Which kind of expression is 400(0.5)t?
Answer: It is an Exponential Decay
Step-by-step explanation: Look at the 0.5 it is below the value of 1 anything below the value of 1 is most likely an exponential decay
Answer:
It is an Exponential Decay
Step-by-step explanation:
Which table represents a function?
Answer: D
Step-by-step explanation:
For every input there can be only one output. D is the only answer that has one output per input.
y'all i will love u forever if u answer these questions..it's 20 points for answering.
Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cost (c) Tyson must pay after skating h hours. Solve the equation to find the cost to go ice skating for four hours. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.
Cindy is taking her granddaughter to the local pumpkin patch. The pumpkin patch sells pumpkins by the pound. The cost for pumpkins is $0.49 each pound up to 8 pounds. For those pumpkins that weigh more than 8 pounds, the cost is $0.49 each pound for the first 8 pounds and $0.25 per each pound after. If Cindy's granddaughter chooses an 11-pound pumpkin, how much will it cost? Write an equation to find the cost of the pumpkin. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.
MODELING WITH MATHEMATICS
You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown.
a. Write a polynomial that represents the combined area of the photo and the frame.
b. Find the combined area of the photo and the frame when the width of the frame is 4 inches.
im failing Geometry if anyone is good at Geometry and want to help me i attached 5 problems i greatly appreciate anyone that helps
Answer:
x = 12
Step-by-step explanation:
Here we go!
What we know:
So 7x and 8x are part of a same side interior angle. meaning, they add up to 180°!
[tex]8x + 7x = 180[/tex]
Combine like terms
[tex]15x = 180[/tex]
Divide 15 from both sides
[tex]x = 12[/tex]
Let's check our work:
plug in x
7(12) + 8(12) = 180
multiply
84 + 96 = 180
add
180 = 180
What is the cost of one egg if a dozen eggs cost $1.08? PLEASE HELP MEE
Answer:
0.09
Step-by-step explanation:
Answer:
$0.09
Step-by-step explanation:
12 eggs= 1.08
1.08/12= $0.09
one egg= $0.09
$9 for 6 can vegetable soup (find the unit rate)
Answer:
$1.50 per can vegetable soup
Step-by-step explanation:
9 divided by 6
Answer:
$0.66666667 so about $0.67
Step-by-step explanation:
to find how much 1 can of soup is you can divide 6 by 9
6/9= 0.66666667
Sorry for the weird looking image help me please :)
1 : Go .....
[tex]A= bh \: [/tex]
Divided sides by b
[tex] \frac{A}{b} = h \times \frac{b}{b} \\ [/tex]
thus ;
[tex]h = \frac{A}{b} \\ [/tex]
_________________________________
2 : Go .....
[tex]area = height \times length(base) \\ [/tex]
[tex]45 = h \times 9[/tex]
Divided sides by 9
[tex] \frac{45}{9} = h \times \frac{9}{9} \\ [/tex]
[tex]h = 5 \: ft[/tex]
And we're done...
♥️♥️♥️♥️♥️
Other word for sequence
Step-by-step explanation:
Issun Sengeki... Messatsu!
Another word for sequence can be order. There's a lot of other examples and synonyms out there, so choose the best one for you!
Quote:
"You've fulfilled your life by allowing me to end it!"
- Akuma
A man throws a 0.2 N metal ball vertically into the air and observes that after it has traveled upward 2.0 m, it is traveling at 5 m/s. Use the work–energy principle to calculate how much further the ball will continue to travel upward.
1.27 m is the correct answer.
A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope
that best represents this rate?
Answer:
F
Step-by-step explanation:
F is the correct graph because the bottom is for minutes and if you drag your finger on the 1 minute you meet 45 which is how many gallon per minute. and if you go to 2 minutes you meet with 90 which is 45+45=90 and 45 is one minute and 90 is 2 minutes.
srry if that was complicated
Hope this helps you!
The graph which best represents the rate of discharge given is graph F.
It is given that discharge rate of a water hose is 45 gallons per minute.
We have to check which graph has a slope that best represents this rate.
What do you mean by discharge rate of water ?
Discharge rate of water is defined as the rate at which drainage water is released from a site.
As per the question ;
The rate of discharge = 45 gallons per minute
So,
We can say that ;
When x = 1 minute
y = 45 gallons
We can conclude that F is the correct graph because the x-axis is for minutes and if you check at time 1 minute you get 45 gallons at the y-axis which shows the no. of gallons per minute.
Thus , the graph which best represents the rate of discharge given is graph F.
To learn more about rate of discharge click here ;
https://brainly.com/question/27401697
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Graph 6x=-36 pleaseeeeeeeee helpppppp
Answer:
6 times 6=36
Step-by-step explanation:
HOPE THIS HELPS
Answer:
x = -6
Step-by-step explanation:
The graph of 6x = -36:
Transpose to find x
6x = -36
6x/6 = -36/6
x = -6
Therefore the line should cut your graph at -6 on the x-axis (the horizontal one).
See red line of the image attached.
Factor the expression.
81x^2 + 36x + 4
Answer:
(9x+2)^2
Step-by-step explanation:
Two families paid a total of $44.00 to see a movie. Each adult ticket cost $8.00. If there were 3 adults and 4 children, how much did each childs ticket cost?
Answer:
$5
Step-by-step explanation:
You will multiply $8 by 3 and subtract 44 by that number. You will then divide that number by 4.
Answer:
$5 each
Step-by-step explanation:
total of $44.00
3 adults * $8.00 = $24
$44.00 - $24.00 = $20
$20 * 4 children = $5 each
17.) You want to purchase 4 board games that are $15 each. There is a 6% sales tax. What is the
total amount of your purchase?
Answer:
$63.60
Step-by-step explanation:
4 board games are $15 each, multiply 4*15 = 60.
There is a 6% sales tax, so it is 6% extra. To calculate 6% as a decimal, divide it by 100, so 6/100 = 0.06. Now that it is 0.06 extra, you add 0.06 to 1.00 because 1.00 is the 100% of the price (the $60). So now it is 1.06 of the price. Multiply 60 * 1.06 and you get $63.60
Answer:
60.36 cents
Step-by-step explanation:
you have to times 60 by .6 then you get 36 and that is how much taxes cost.
Kelly has $20000 to invest, and hopes to earn $1390 in interest in the first year. She wants her investment in treasury bills to be $3000 more than her investment in corporate bonds. The expected return (in simple interest) on each investment are: Treasury Bills: 5%, Treasury Bonds: 7%, Corporate Bonds: 10%. How much should Kelly invest in each one?
Answer:
$8,000 in Treasury bills
$7,000 in Treasury bonds
$5,000 in corporate bonds
Step-by-step explanation:
Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y
From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;
So mathematically, this will be $(x - 3000)
So therefore, the amount invested in each will be;
x + y + x-3000 = 20,000
2x + y = 20,000 + 3000
2x + y = 23,000 ••••••••(i)
Let’s now work with the simple interests;
For treasury bills;
5% = 5/100 * x = 5x/100
For Corporate bonds ;
10% = 10/100 * (x -3000) = (x-3000)/10
For Treasury bonds 7%
7% = 7/100 * y = 7y/100
Adding all gives the total interest;
5x/100 + 7y/100 + (x-3000)/10 = 1390
Multiply through by 100
5x + 7y + 10(x-3000) = 1390 * 100
5x + 7y + 10(x-3000) = 139,000
5x + 7y + 10x -30,000 = 139,000
15x + 7y = 139,000 + 30,000
15x + 7y = 169,000 •••••••••(ii)
So we have two equations to solve simultaneously;
From i, y = 23,000 - 2x
Put this into ii
15x + 7(23,000 -2x) = 169,000
15x + 161,000 - 14x = 169,000
x + 161,000 = 169,000
x = 169,000 - 161,000
x = $8,000
y = 23,000 - 2x
y = 23,000 - 2(8,000)
= 23,000 - 16,000 = $7,000
So the last investment amount is x-3000 = 8,000 -3,000 = $5,000
what is the solution for x in the equation 5/3 x +4=2/3 x
Answer:
x = - 4
Step-by-step explanation:
Given
[tex]\frac{5}{3}[/tex] x + 4 = [tex]\frac{2}{3}[/tex] x
Multiply through by 3 to clear the fractions
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
Find the next term of the sequence.
16, 9, 2, –5,
Answer:
-12
Step-by-step explanation:
Given g(x) = -3x - 4, find g (5)
Answer:
The answer is -19.
Step-by-step explanation:
You have to substitute the x = 5 into the function :
[tex]g(x) = - 3x - 4[/tex]
[tex]g(5) = - 3(5) - 4[/tex]
[tex]g(5) = - 15 - 4[/tex]
[tex]g(5) = - 19[/tex]
Juan invests $7500 at 6% interest in one year. How much money will he have if the interest were compounded A. yearly B. Daily C. why are the amounts in answers a and b different
Answer:
A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).
Step-by-step explanation:
Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)
t = time(time in respect to years ; how long it is compounded).
For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$
For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$
C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)
Add, Subtract, Multiply , or Diviide? ANSWER ASAP 100 points
Answer:
AddStep-by-step explanation:
When multiplying exponents with same base the operation is adding up
a^b*a^c = a^(b+c)Answer:
[tex]add[/tex]
Step-by-step explanation:
When multiplying in same base the operation you have to do is adding
Ex:-
[tex] {a}^{2} \times {a}^{8} = {a}^{2 + 8} = {a}^{10} [/tex]
What is the factor 4x^2-9
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
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Step-by-step explanation:
Nicole bought 6 tickets to an indoor water park. She paid a 6% service charge for buying them online. Her total cost was
$165.36
a What equation can be used to model the total cost of the tickets?
6. What was the price of each ticket?
C. How much did Nicole pay in service charges?
Answer:
Step-by-step explanation:
Let each ticket cost x
Answer for Part A
6x + 6% (6x) = 165.36 dollars.
Answer for Part B
6x + 6/100 * 6x = 165.36
6x + 36/100 x = 165.36
6x + 0.36 x = 165.36
6.36x = 165.36
x = 165.36/6.36
x = 26 dollars for each ticket.
Part C
Service charge = 165.36 - 6*26
Service charge = 165.36 - 156
Service charge = 9.36
What do the following two equations represent? y = -x+5 and 5x+5y=20
Answer:
distinct parallel lines!!!
Step-by-step explanation:
Answer: on khan its Distinct Parallel lines
Step-by-step explanation:
Jane needs $20 to buy her radio. She has saved $15. What percent of the cost of the radio has she saved?
Answer: 75%
Step-by-step explanation:
15/20 = 3/4 or 75%
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
Answer
a= -6
Step-by-step explanation:
-2(a-3)=12
1.) -2(a)= -2a
2) -2(-3)= 6
3) -2a+6=12
-6 -6
4) -2a/-2 = 12/-2
a = -6
Write 1/8 as a decimal
Answer:
0.125
Step-by-step explanation:
1/8=0.125
(b) Carmen bought 19 pounds of rice for $11. How many pounds of rice did she get per dollar? pounds per dollar