When Derek planted a tomato plant, he expected to be picking his first ripe tomato in 45 days. His estimate was 25% less than the actual time. How long did it take before Derek picked his first ripe tomato?
Answer:
60 days.
Step-by-step explanation:
Let the actual time be x, then:
x - 0.25x = 45
0.75x = 45
x = 45/0.75
= 60 days.
An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.
21.2 + w less-than-or-equal-to 30
How much weight can Lorrie add to the carry-on without going over the 30-pound limit?
Answer: No more than 8.8 pounds.
Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.
We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:
Let us solve for x by subtracting 21.2 from both sides of our inequality.
We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.
An equilateral triangle has an area of 50 units 2. What is the length of each side?
Answer:
Length of each side of equilateral Traingle is 10.75 unitsStep-by-step explanation:
Given that area of an equilateral traingle 50 square units.
Let the length of side of equilateral traingle be 'x' units. To calculate length of each side we will use the formula of area of equilateral traingle:
[tex] \: \: { \underline { \boxed{\pmb { \sf{ \purple {Area_{(equilateral \: traingle)} = \dfrac{\sqrt 3}{4} \times (Side)^2}} }}}} \\ [/tex]
By substituting the values in above formula:
[tex]~[/tex]
[tex] : \implies \sf \: \: 50 = \dfrac{ \sqrt{3} }{4} \times {(x)}^{2} \\ \\ \\ : \implies \sf \: \: {(x)}^{2} = \dfrac{50 \times 4}{ \sqrt{3} } \\ \\ \\ : \implies \sf \: \: {(x)}^{2} = \dfrac{200}{ \sqrt{3} } \\ \\ \\ : \implies \sf \: \: x = \sqrt{ \dfrac{200}{ \sqrt{3} } } \\ \\ \\ : \implies \: \: { \boxed{\pmb{ \frak{ x = 10.75 \: units }}}}\\ \\ \\ [/tex]
Hence, Length of each side of equilateral Traingle is 10.75 unitsHELP - 100 POINTS AND BRAINLIEST
An equation is shown below:
5x + 3(x – 5) = 6x + 2x – 15
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Answer:
Infinitely many solutions
Step-by-step explanation:
A.
5x + 3(x – 5) = 6x + 2x – 15
5x + 3(x) + 3(–5) = 6x + 2x – 15
5x + 3x – 15 = 8x – 15
8x – 15 = 8x – 15
This equation has infinitely many solutions.
Why? because they have the same terms on both sides of the equation, everything is the same.
B.
One property that was used to solve this equation is the distributive property 3(x – 5).
Hope this helps!
Solve for the value of n
Answer:
8
Step-by-step explanation:
Vertical angles are congruent, so 9n=8n+8. It follows that n=8.
HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE
Answer:
93
Step-by-step explanation:
19x-2 = 18x+3
x=5
15(5) -2=93
18(5)+3=93
malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the mean price malamud paid in $16 and the median is $16.50 , what are the mean and median prices for mohammed's CD's?
Answer: $8 , $8.25
Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )
A pupil who scored 50 in his paper 1
exam got ill and missed paper 2.
use the line of best fit to predict what
his paper 2 mark could have been.
The graph of the pupil's score is an illustration of scatter plots
The student's expected score in paper 2 is 62
How to predict the score in the missed paperTo predict the score of the pupil in the missed paper, we simply interpret the points on the line of best fit of the scatter plot
From the graph (see attachment), we have:
Paper 2 = 62 when Paper 1 = 50
This means that the student's expected score in paper 2 is 62
Read more about scatter plots at:
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Helpp me with my sister's math
Answer:
pq - 12r
step by step explanation:
Solve these pair of simultaneous equations.In each case the first step is to subtract the two equations.Give both solutions;x and y.
x-6y=32
x-4y =24
2x-3y =2
2x + 4y = 44
Please work it out
mia draws a cone with a height of 9 inchess and a radius of 4 inches
The volume of the cone that was drawn by Mia is equal to 150.816 cubic inches.
How to calculate the volume of a cone.
Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Given the following data:
Radius of cone = 4 inches.
Height of cone = 9 inches.
Substituting the given parameters into the formula, we have;
Volume = 1/3 × 3.142 × 4² × 9
Volume = 3.142 × 16 × 3
Volume = 150.816 in³
Read more on radius here: brainly.com/question/21367171
Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%
Answer:
the answer; 32÷36×100 will give the answer (d) -88.9%
This figure represents the base of an aquarium that is 9 inches high.
What is the volume of the aquarium?
558 in³
612 in³
702 in³
810 in³
Answer:
Step-by-step explanation:
Answer:
558 in³ for K12
The company warehouse contains 100 pallets of office paper, 25 pallets of photo paper, and 50 pallets of card stock. Each pallet of office paper is valued at $96, each pallet of photo paper is valued at $180, and each pallet of card stock is valued at $110.
Your partner is calculating the inventory value of these papers but thinks there is an error. Where in the calculations below is the error?
Step Description Result
1 Multiply 100 by $96 $ 9,600
2 Multiply 25 by $180 $ 4,500
3 Add $13,100
4 Multiply 50 by $110 $ 5,500
5 Add $18,600
A. Step 1
B. Step 2
C. Step 3
D. Step 4
E. Step 5
Answer:
c.
Step-by-step explanation:
Find the value of the following:
a) 25 - 7.36
b) 8.65 + 4.23 - 3.5
Answer:
a 25-7.36
=17.64
b 8.65+4.23-3.5
=12.88-3.5
=9.38
Answer:
a) 17.64
b) 9.38
Step-by-step explanation:
a) 25 - 7.36 = 25 - 7 - 0.36 = 18 - 0.36 = 17.64
b) 8.65 + 4.23 - 3.5 = 8.65 - 3.5 + 4.23 = 5.15 + 4.23 = 9.38
Hope this helps :)
Have a nice day!
determine the distance travelled by the car during this time D =(2m x t2)/2
Answer:
D = 2mt
Step-by-step explanation:
D = (2m × 2t)/2
[tex] \sf \: d \: = \frac{2m \times t(2)}{2} [/tex]
[tex] \rightarrow \: \sf \: d = \frac{2m \times 2t}{2} [/tex]
[tex] \rightarrow \: \sf \: d = \frac{4mt}{2} [/tex]
[tex] \rightarrow \: \sf \: d = 2mt[/tex]
~Done~
------
Which choice is equivalent to the fraction below?
5
6
a. 5-6
b. 5•6
c. 6 divided by 5
d. 5 divided by 6
Answer:
\ is the same as ÷
=d) 5 divided by 6
Helppp meee please this one confuses me
Step-by-step explanation:
=[tex] =(3x + 2)(x + 1) \\ = 3x(x + 1) + 2(x + 1) \\ = {3x}^{2} + 3x + 2x + 2 \\ = {3x}^{2} + 5x + 2[/tex]
Answer:
Bro really?? Anyway it's
[tex]anyway \: its \: 3x { }^{2} + 3x + 2x + 2[/tex]
A system of equations is shown
Y=2x-5
Y=4x + 3
What is the solution to the system of equations?
A (-4,-13)
B(-4,3)
C (4,-13)
D (4,3)
Answer:
A. (-4,-13)
Step-by-step explanation:
y = 2x - 5
y = 4x + 3
-2(y = 2x - 5) ==> -2y = -4x + 10
y = 4x + 3 ==> y = 4x + 3
-2y = -4x + 10
y = 4x + 3
___________
-y = 13
/-1 /-1
y = -13
Now we find x, by substituting -13 for y
y = 2x - 5
-13 = 2x - 5
+ 5 +5
-8 = 2x
/2 /2
-4 = x
(x, y) ==> (-4, -13)
Check your answer:
y = 2x - 5
-13 = 2(-4) - 5
-13 = -8 -5
-13 = -13
This statement is correct
Hope this helps!
Given the figure below, find the values of x and z
Answer:
z = 60 and x = 4.25 or 17/4
Step-by-step explanation:
Z = 60°
8x + 86 = 180-60
8x + 86 = 120
8x = 120 - 86
8x = 34
x = 4.25 or 17/4
find the surface area
10in
Answer:
Area of a triangle
[tex] \frac{bh}{2} \\ 10 \times 10 = 100 \\ 100 \div 2 = 50 \\ the \: triangles \: have \: the \: same \: area \: and \: there \: are \: 4 \: triangles \: so \\ 4(50) = 200 \\ now \: we \: find \: the \: are \: of \: the \: rectangular\: base \: \\ area = bh \\ b = 10 \\ h = 10 \\ 10(10) = 100 \\ no w \: we \: add \: the \: area \: of \: the \: triangles \: and \: the \: square \\ 200 + 100 = 300 \: {in}^{2} [/tex]
Daniel has read 70% of a book. He has 24 more pages to finish. How many pages are there in the book?
Answer:
80
Step-by-step explanation:
if he's read 70% then the 24 pages that are left are equal to 30 percent.
so the answer is 80. if you need extra steps don't hesitate to ask.
Answer number 9 please. Thank you.
The above attachment is the answer. Hope it helps?
Brandon rolls a six sided die twenty times, and records the result in the table below. how many times did brandon roll above the average? 6 1 3 4 4 4 6 5 5 3 6 4 4 5 2 3 5 4 4 2 a. 14 b. 7 c. 5 d. 4
The average is the arithmetic mean of all the observations of a set of numbers. The number of times Brandon rolls above the average is 7.
What is average?The average is the arithmetic mean of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.
[tex]\rm{Average=\dfrac{Sum\ of\ observations}{Number\ of\ observations}[/tex]
In order to know the number of times Brandon rolls the dice above the average, we first need to calculate the average of the twenty rolls.
The average of the 20 times dice rolls,
[tex]\rm Average = \dfrac{6+1+3+4+4+4+6+5+5+3+6+4+4+5+2+3+5+4+4+2}{20}[/tex]
[tex]\rm Average = \dfrac{80}{20} = 4[/tex]
Thus, the average of the 20 rolls of the dice is 4.
Now, the number of times the result of the dice roll is above 4(x>4) is 7.
Hence, the number of times Brandon rolls above the average is 7.
Learn more about Average:
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Caleb invested $1400 in an account that pays 4% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Caleb would
have in the account 7 years after his initial investment. Round to the nearest tenth (if
necessary
Answer:
$1842.30
Step-by-step explanation:
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,400.00(1 + 0.04/1)^(1)^(7)
A = 1,400.00(1 + 0.04)^(7)
A = $1,842.30
What is the value of x in the equation −5 + x = −2?
[tex]-5+x = -2\\\\\implies x = -2 +5 = 3[/tex]
Answer:
x=3
Step-by-step explanation:
−5 + x = −2
Add 5 to each side
−5+5 + x = −2+5
x = 3
A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Answer: 14085 m^3.
Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height. The equation is below:
l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.
The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters. Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.
9 x 5 x 313 = 14085.
Therefore, 14085 m^3 is your answer.
Have a great day! :)
Write your answers using set notation.
Answer:
domain = {-8, -6, 8}
range = {-4, -1, 0, 8}
Step-by-step explanation:
The domain is the set of first numbers of the ordered pairs. The range is the set of second numbers. We generally like to have the elements of a set arranged in order, with duplicates eliminated.
domain = {-8, -6, 8}
range = {-4, -1, 0, 8}
A functionf(θ) is periodic if after some periodt, it repeats. In other wordsf(θ t) =f(θ) for allθ. Lettingθbe a real number, isf(θ) =eiθperiodic? (2 points) if so, what is its period? (2points)
The period of the given function is T = 2π
What is the period of the function?The period T of a function f(x) is such that:
f(x + T) = f(x).
In this case, our function is:
f(θ) = e^{iθ}
Remember that this can be written as:
f(θ) = cos(θ) + i*sin(θ)
So yes, this is in did a periodic function.
Then the period of the function f(θ) is the same as the period of the cosine and sine functions, which we know is T = 2π.
If you want to learn more about periodic functions, you can read:
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The period of the considered function f(θ) = e^{iθ} is found to be P = 2π (assuming 'i' refers to 'iota' and 'e' refers to the base of the natural logarithm)
What is euler's formula?For any real value θ, we have:
[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]
where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.
What are periodic functions?Functions which repeats their values after a fixed interval, are called periodic function.
For a function [tex]y = f(x)[/tex], it is called periodic with period 'T' if we have:
[tex]y = f(x) = f(x + T) \: \forall x \in D(f)[/tex]
where D(F) is the domain of the function f.
Suppose that, the period of the function [tex]f(\theta) = e^{i \theta}[/tex] be P, then we get:
[tex]f(\theta + P) = f(\theta)\\\\e^{i(\theta)} = e^{i(\theta + P)}\\\\\cos(\theta) + i\sin(\theta) = \cos(\theta + P) + i\sin(\theta + P)[/tex]
When two complex numbers are equal, then their real parts are equal and their imaginary parts are equal.
That means,
[tex]\cos(\theta) + i\sin(\theta) = \cos(\theta + P) + i\sin(\theta + P)[/tex] implies that:
[tex]\cos(\theta) = \cos(\theta + P)\\\sin(\theta) = \sin(\theta + P)[/tex]
Also, we know that the period of sine and cosine function is [tex]2\pi[/tex]
Thus, we get:
[tex]P = 2\pi[/tex]
Thus, the period of the function [tex]f(\theta) = e^{i \theta}[/tex] is P = 2π
Learn more about periodic functions here:
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Please help I will give brainliest.
Answer:
Ten apples cost 9 dollars
Step-by-step explanation:
C(10) = 9
The input is 10 and the output is 9
You bought 10 apples for 9 dollars
Answer:
The last one
Step-by-step explanation:
10 is a function of C which says that the cost of 10 = 9.