When Alexander moved into a new house, he planted two trees in his backyard. At
the time of planting, Tree A was 36 inches tall and Tree B was 21 inches tall. Each
year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per
year. Let A represent the height of Tree At years after being planted and let B
represent the height of Tree Bt years after being planted. Write an equation for each
situation, in terms of t, and determine which tree is taller after 3 years.
Answer:
The equations for each situation are
A = 36 + 6t
B = 21 + 9t
After 3 years, Tree A is taller.
Step-by-step explanation:
From the question,
Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and
Tree A grew by 6 inches per year and Tree B grew by 9 inches per year after planting.
For Tree A,
Given a period of t years after planting, the height would have increased by 6t
∴ A = 36 + 6t
For Tree B,
Given a period of t years after planting, the height would have increased by 9t
∴ B = 21 + 9t
To determine, which tree is taller after 3 years,
t = 3
For Tree A
A = 36 + 6t
A = 36 + 6(3)
A = 36 + 18
A = 54 inches
For Tree B
B = 21 + 9t
B = 21 + 9(3)
B = 21 + 27
B = 48 inches
Hence, After 3 years, Tree A is taller.
Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat?
45x – 100 = 370
45x + 370 = 100
45x + 100 = 370
45x – 370 = 100
Explain how you got the answer please
A faucet drips 2/5 gallon of water in 3 1/2 hours. What is the unit rate of water dripped per hour?
Answer:
4/35 gallons per hour
Step-by-step explanation:
Take the amount of water and divide by the time
2/5 gallon
------------------
3 1/2 hours
2/5 ÷ 3 1/2
change to an improper fraction
2/5÷ 7/2
Copy dot flip
2/5 * 2/7
4/35 gallons per hour
what's
b-a=
c-b=
im confused someone help pleaseee
Answer: n minus c would equal c c minus b would equal z
Step-by-step explanation:
8 tens + 3 ones = ____ tens + 13 ones
Answer:
7 tens
Step-by-step explanation:
the value of the first half of the statement is 83 and the value of the second one is 13 (without the tens) so that mean it has 70 left over to make it 7 tens.
A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below what is the students error?
Answer:
Well the weight is
Step-by-step explanation:
4.53592 kilos
Answer:
4.535924 kilograms
Step-by-step explanation:
1 ounce = 0.02834952 kilogram
160 * 0.02834952 = 4.535924
Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?
Answer:
Part A: -8
Part B: -4
Step-by-step explanation:
[tex]5-13=-8[/tex]
[tex]-8+4=-4[/tex]
if loga81=4, find value of a?
Answer:
[tex]\huge\boxed{a=4}[/tex]
Step-by-step explanation:
[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]
s x = –4 a valid solution this linear equation? 2x + 9(x – 1) = 8(2x + 2) – 5 No. When –4 is substituted for the variable, the result is a true statement. No. When –4 is substituted for the variable, the result is a false statement. Yes. When –4 is substituted for the variable, the result is a true statement. Yes. When –4 is substituted for the variable, the result is a false statement.
Answer:your answer is C!
Step-by-step explanation: I got it right
Answer:
c) Yes. When –4 is substituted for the variable, the result is a true statement.
Step-by-step explanation:
i verified with my teacher may i plz get brainliest
In Ms. Renault's classroom, 2/5 of the students play sudoku. Of the student who play sudoku, 5/6 also play checkers. If there are 30 students in her class, how many play sudoku and checkers?
Answer:
10 students play sudoku and checkers
Step-by-step explanation:
First find the number of students that play sudoku
2/5 * 30
12
of those 12 students, 5/6 play checkers
12 * 5/6 = 10
10 students play sudoku and checkers
- Austin is paid a salary of $350 weekly. What are his yearly earnings?
Answer:
average, he earns 16,800 dollars in 1 year
Step-by-step explanation:
he is paid 350 dollars a week
there are 4 weeks in a month and 12 months in 1 year.
350*4=1400
1,400*12 is 16,800.
In Mrs. Munson's 9th hour science class there are 15 girls and 9 boys. Which of the
following is the ratios of girls to boys IN SIMPLEST form?
O 5:1
15:9
O 5:3
30:18
Answer:
15-9
Step-by-step explanation:
Answer:
5:3
Step-by-step explanation:
[tex]15 \div 3 = 5[/tex]
[tex]9 \div 3 = 3[/tex]
The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15 less than Jessica. The following expression shows Monte's earnings:
4y − 15
In the expression, what does the first term represent?
Jessica's earnings at the end of the week
The number of crates of bananas Jessica sold
Monte's earnings at the end of the week
The number of crates of bananas Monte sold
Answer:
Jessica's Earning's at the end of the week
Step-by-step explanation:
If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.
In the expression the first term represents "The number of crates of bananas Monte sold". So option D is correct.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be subtraction, multiplication, addition, division.
For example, 2x+3
The expression given for Monte's earnings is 4y - 15.
In this expression, the first term is 4y.
This term represents the amount of money Monte earns per crate of bananas he sells.
Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.
So, the answer is: The first term represents the amount of money Monte earns per crate of bananas he sells.
To know more about Expressions check:
brainly.com/question/16804733
#SPJ3
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
working through this one. An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit What is the rate of temperature change in degrees Fahrenheit per foot? In the following activity, you'll use what you know about dividing rational numbers to find the solution. Complete the steps below to answer the question. write the change in elevation and the temperature as rational number.
Answer:
1 degree per 50 ft
Step-by-step explanation:
1000÷20 = 50
A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?
Answer:
I think that days is the most reasonable, sorry if I'm wrong
Step-by-step explanation:
So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.
4000 minutes = 240000 seconds
4000 minutes = 2.77777... days
4000 minutes = 0.007610350684932... years
Please help answer this for me :)
Answer:
d=3/2 this should be it
Step-by-step explanation:
PLZ HELP DONT get wrong have 10 min HELP
Find the slope of the line that passes through (8,8) and (3,6)
simplify to fraction, improper fraction, or integer
Answer:
5.5 7
Step-by-step explanation:
Which is the equation of the line in point-slope form with a slope m=6 and a point (-1,9)
Answer:
y-9=6(x+1)
Step-by-step explanation:
Alexia had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Alexia have left in her account on Thursday?
---------------------
$100.95-------------------
$100.95-$37.25-----------$63.70-----------She has $63.70 left on Thursdayevaluate −2xy−1 when y=−1
Answer:
2x-1
Step-by-step explanation:
What is the end behavior of the graph? *
The graph decreases as x goes to -infinity and increases as x goes to infinity
The graph increases as x goes to -infinity and increases as x goes to infinity
The graph decreases as x goes to -infinity and decreases as x goes to infinity
The graph increases as x goes to -infinity and decreases as x goes to infinity
Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?
Answer:
312 $
Step-by-step explanation:
468 / 12 = 39 bags
8 x 39 = 312 $
so the answer is 312$
John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.
Answer: 800 - 25w = 1400
Step-by-step explanation:
What is there to edplain??
Answer:
800+25w=1400
Step-by-step explanation:
took the test
AMY HAS TWO TOMATO PLANTS. ONE IS 5 3/4 INCHES TALL AND THE OTHER IS 8 1/2 INCHES TALL. WHAT IS THE DIFFERENCE IN HEIGHT BETWEEN THE TWO TOMATO PLANTS?
Find all the two-digit numbers that decrease 12 times when the last digit is crossed out.
Answer:
Step-by-step explanation:
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answer:
[tex]f(0)=-2\\f(1)=e-1[/tex]
Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,
[tex]f(x)=e^x-3+2x[/tex]
Put [tex]x=0[/tex]
[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]
Put [tex]x=1[/tex]
[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]
What is the rate of return when 10 shares of Stock
A, purchased for 20 $/share, are sold for $310? The
commission on the sale is $6.
rate of return = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Answer:
Rate of return = 52%
Step-by-step explanation:
Cost of Investment = 10 shares × $20 = $200
Gain on Investment = amount sold - commission on the sale
Gain on Investment = $310 - $6 = $304
Using the formula:
ROR = (Gain on investment - cost of Investment)/cost of Investment × 100
Plug in the values into the formula:
[tex] ROR = \frac{304 - 200}{200} * 100 [/tex]
[tex] = \frac{104}{200} * 100 [/tex]
[tex] = \frac{104*100}{200} [/tex]
[tex] = \frac{104}{2} = 52 [/tex]
Rate of return = 52%
What sample size is needed to give a margin of error within in estimating a population mean with 99% confidence, assuming a previous sample had .
This question is Incomplete
Complete Question
What sample size is needed to give a margin of error within ± 13 in estimating a population mean with 99% confidence, assuming a previous sample had s=116
Answer:
The sample size n = 530 samples
Step-by-step explanation:
Margin of Error formula = z × standard deviation/√n
Margin of Error = ± 13
Standard deviation = 116
z = z score of 99% = 2.58
±13 = 2.58 × 116/√n
Cross Multiply
±13 × √n = 2.58× 116
±13 × √n = 299.28
√n = 299.28/±13
√n = ± 23.0215384615
Square both sides
(√n)² = (±23.0215384615)²
n = 529.991233134
Approximately , n = 530 samples