Answer:
7 x (24 + 36)
Step-by-step explanation:
Answer:
7 x (24 + 36)
Step-by-step explanation:
Brainliest?
En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa
Answer:
63 dm (aproximadamente)
Explicación paso a paso:
Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.
Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:
h = sqrt (54 ^ 2 + 32,4 ^ 2)
h = sqrt (2916 + 1049,76)
h = sqrt (3965,76)
h = 62,974280
h = 63 dm (aproximadamente)
You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30. What is the annual interest rate? please show formula as well
Answer:
[tex]3\%[/tex] p.a.
Step-by-step explanation:
The formula for simple interest is [tex]I=PRT[/tex] ([tex]I =[/tex] interest, [tex]P =[/tex] principal, [tex]R =[/tex] rate)
First, let's express the interest earned in one and three years:
[tex]I_{1} = PRT_{1}[/tex] (finding the interest earnt in one year)
[tex]I_{1} = \$ 500\times R \times 1[/tex]
[tex]=\$ 500R[/tex]
[tex]I_{2} = PRT_{2}[/tex] (finding the interest earnt in three years)
[tex]I_2 = \$ 500 \times R \times 3[/tex]
[tex]=\$ 1500R[/tex]
From the information "The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30", we can write:
[tex]I_{2}-I_{1} = \$ 30[/tex]
[tex]\$ 1500R - \$500 R = \$ 30[/tex]
[tex]\$ 1000R = \$ 30[/tex]
[tex]R = 0.03[/tex]
[tex]=3\%[/tex] p.a.
∴ The annual interest rate is [tex]3\%[/tex]
Hope this helps :)
The annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $500,
Time, t = 1 year and T = 3 year,
Calculate the interest by the formula given below,
[tex]SI = P\times R\times T / 100[/tex]
Here, SI is the simple interest.
So for 1 year time,
Substitute the values,
SI = 500 × R × 1 / 100
SI = 5R
Now for 3 year
SI = 15R
But 15R - 5R = 30 (Given in question)
R = 3%
Therefore, the annual interest rate if You deposit $500 in an account that earns simple interest. The difference between the total interest earned after 3 years and the total interest earned after 1 year is $30 is 3%.
To know more about interest:
https://brainly.com/question/29222674
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Solve 4 - 5a + 3b where a = 6 and b = 2.
5 points
14. A Bakery made 140 buns. A Restaurant bought 80 of the buns. The
remaining buns were put in to 4 buns each. How many bags of buns are
there. *
60
55
35
15
Answer: 15
Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.
HOPE THIS HELPS!
Find the area of the irregular figure
6 in.
10 in.
9 in
A = [ ? ]in.2
6 in.
7 in.
5 in.
Answer:
149 in sq
Step-by-step explanation:
split in to the 3 rectengles
top right 6x(9-6)=18
middle rec 6×(10+6)=96
bottom rec. 5x7=35
total 149
Answer:
area = 149 in.²
PLEASE HELLPPPPP
A population, P, of birds is doubling in size every year, according to the model P=100(2^t), where T represents years. What was the initial population size? Show work.
Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.
Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.
See Straight Pin & Sewing Needle Used In Wayne's Word Articles
There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).
See Photo Of Massive Giant Sequoia Tree
See Photo Of The Australian Wolffia angusta
See Photo Of The Indian Wolffia microscopica
See Additional Color Images Of Wolffia Species
The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.
Sixteen days of exponential growth in Wolffia microscopica.
Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!
Step-by-step explanation:
solve the system using substitution.
2x + 2y = 30
y - 4x = 0
( _ , _ )
Answer:
x = 3
y= 12
Step-by-step explanation:
2x + 2y = 30
y - 4x = 0 /*2
2x + 2y = 30
2y - 8x = 0
-----------------
10x = 30
x = 3
y= 12
Answer:
( 3 , 12 )
Step-by-step explanation:
2x + 2y = 30 and y - 4x = 0 are two given equation
Name The equation
2x + 2y = 30 ...(1)
y - 4x = 0
y = 4x ...(2)
Now, Put the value of y in equation 1
2x + 2y = 30
2x + 2(4x) = 30
2x + 8x = 30
10x = 30
x = 30/10
x = 3
Now,
Put the value of x in equation 2
y = 4x
y = 4(3)
y = 12
Thus, The value of x is 3 and the value of y is 12
FOR VERIFICATION ONLY:-2x + 2y = 30 ...(1)
2(3) + 2(12) = 30
6 + 24 = 30
30 = 30
y = 4x ...(2)
12 = 4(3)
12 = 12
Hence, L.H.S = R.H.S
-TheUnknownScientist
A company policy requires that, for every 60 employees, there must be 3 supervisors. If there are 264 supervisors at the company, how many employees does the company have?
A.
2,640
B.
4,752
C.
5,280
D.
6,336
Step-by-step explanation:
3 supervisors = 60 employees
=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)
please help ASAP!!!!!!
the sheep died yesterday why
Answer:
it just died because of natural causes haha
Step-by-step explanation:
Answer:
uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;
Step-by-step explanation:
2(y+4)−8=24
what is y?
Answer:
y = 12
Step-by-step explanation:
HELP ME PLEASE!!!!!!
The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t .
Write an inequality that can be used to represent the cost of a pizza that is at most $12.
What is the most number of toppings that a pizza can have and still be at most $12?
Step-by-step explanation:
$9.99 + $0.35t <= $12
$0.35t <= $2.01
t <= 5.74
The most number of toppings would be 5.
Answer:
9.99 + 0.35t ≤ 12
5 toppings
Step-by-step explanation:
First part of question:
9.99 + 0.35t ≤ 12
"At most" means you use ≤.
Second part of question:
Take the inequality and solve for t:
9.99 + 0.35t ≤ 12
0.35t ≤ 2.01
t ≤ 5.74
So, the most number of toppings that a pizza can have and still be at most $12 is 5 toppings. You have to round down 5.74 to 5 otherwise the cost will exceed $12.
All of the following effect the wind motion EXCEPT
A. Gravity
B. Rotation of the earth
C. Friction with the ground
D. Location of high and low pressure
(Science middle school)
Answer:
I think option D.
Step-by-step explanation:
lmk if it's wrong
It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
plz mark as brainliest
6th grade math i mark as brainliest
Consider the conditional statement:
"If the store has the Playstation 5 in stock, then I will buy one."
What is the conclusion of the statement?
Answer:
he's getting the ps5
Step-by-step explanation:
In conclusion if the store has the ps5 he's getting it and if not he wont
Someone please explain step by step.
Find the 10th term of the geometric sequence whose common ratio is 1/2
and whose first term is 5.
Answer:
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
Step-by-step explanation:
geometric progression formula:
[tex] {n}^{th} \: term = ar ^{n - 1} [/tex]
given:
common ratio, r = 1/2
[tex]first \: term \: = 5[/tex]
1) find the value of a
[tex] {n}^{th} \: term \: = a {r}^{n - 1} [/tex]
we're finding the 1st term, so substitute 1 into n:
[tex] {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} [/tex]
first term is 5. so we substitute 5 into the equation:
[tex]5 = a(1)[/tex]
[tex]a = 5[/tex]
2) find the 10th term
we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:
[tex] {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} [/tex]
[tex] {10}^{th} \: term = 5( \frac{1}{512} )[/tex]
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
It is 49,280 yards from Topeka to Tonko. How many miles
is this?
Answer:
Step-by-step explanation:
1 yard = 0.000568 miles
49280 yards = 28 miles
1 mile = 1,760 yards
Divide total feet by 1760
49,280 / 1760 = 28 miles.
PART OF A STUDY SET!!!! NEED THE ANSWER ASAP BEING TIMED GIVING BRAINLY AND THANKS FOR HELP!!!!!!!!
1.)
What value of x makes the following equation true?
2(6 - 2x) - 2x = 2(5 + x) - 4
A) 3/4
B) 1/4
C) -1/4
D) -3/4
2.)
What is the solution to the following equation?
3(7 + 2x) + 3 = 3(5 + x) - 9(x + 1)
A) 3/2
B) 2/3
C) -2/3
D) -3/2
Answer:
1.) A
2.) D
Step-by-step explanation:
Answer:
1. 3/4
2.-3/2
Step-by-step explanation:
For the first problem, distribute the 2(6-2x) and 2(5+x) to simplify the equation. This means, multiply what's inside the parentheses by 2. The simplified version of the equation is: 12-4x-2x=10+2x-4.
Once you have distributed, then combine like terms and solve for x.
You do the same thing for the second problem.
Peter is a beekeeper who sells jars of honey and combs at the market. For each 10 jars of honey that he takes to the market carries 3 honeycombs. Which of the following could be what Peter brings to market?
Jack earns $5 an hour delivering pizzas. He saved $300. He needs at least $1000 for a down payment for a car. Which equality best describes this situation, when n represents the number of hours he delivered pizza?
Answer:
5n + 300 ≥ 1000
Step-by-step explanation:
Can someone please help me . WILL MARK BRAINLIEST !!
Answer:
(3,0)
Step-by-step explanation:
Hope this helps
W/6 + 5/8 = - 1 3/8 what does W equal??
Answer:
w=−12
Step-by-step explanation:
1
6
w+
5
8
=
−11
8
Step 2: Subtract 5/8 from both sides.
1
6
w+
5
8
−
5
8
=
−11
8
−
5
8
1
6
w=−2
Step 3: Multiply both sides by 6.
6*(
1
6
w)=(6)*(−2)
w=−12
Problem
Solve for x
x + 5 = 10
——-
2
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5
Step-by-step explanation:
I’ll give brainliest
Answer:
I don't know nothing about this lol...
Step-by-step explanation:
Look at this angle, what are the sides?
Answer:
Both of the arrowed ones are the sides
An industrial engineer must estimate the cost of building a storage tank. The tank requires 208 sq ft of material at $9.29 per square foot. It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour. Find the total cost of the tank.
Answer:
The total cost of making the tank equals $2,082.48
Step-by-step explanation:
Giving the following information:
The tank requires 208 sq ft of material at $9.29 per square foot.
It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour.
To calculate the total cost, we need to multiply the unitary variable cost by the total amounts:
Direct material= 9.29*208= $1,932.32
Direct labor= 4.5*26.4 + 1.6*19.6= $150.16
The total cost of making the tank equals $2,082.48
find the value of x
-5x - 9
20 points
Answer:
-5x - 9=0
-9=5x
x=-9/5 is your answer
Evaluate the following functions to determine the range for each given domain.
3. f(x) = 5x + 6 D = {-3,0,5}
4. f(x) = -1 D = {-6,9,21}
please show work
Answer:
3. f' ( x) = 5
4. d= 69.21
I hope i helped
SinA+cosB=1, A=30 degree. Find B
Answer:
Step-by-step explanation:
The value of sin 30 = 1/2
Thus cos B = 1-1/2 = 1/2