Answer:
52 square in
Step-by-step explanation:
x2 is 25 by 50
The area of the new rectangle in terms of x is 2x² - 3x + 1 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×width).
Given, A paper with a width of x inches, and a length of 2x inches.
So, The area is (x×2x) sq inches.
= 2x² sq inches.
Now, he cut off one inch of both the length and the width which is,
= (x - 1)(2x - 1) sq inches.
= 2x² - x - 2x + 1 sq inches.
= 2x² - 3x + 1 sq inches.
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e. Lindsey sold stationery to her family and her mother's friends. She deposited the $125
she earned in a savings account. The account earns 5.18% interest annually. If she does
not deposit or withdraw any money from for 18 months, how much will she have in her
account?
Answer:
$134.71
Step-by-step explanation:
This is a simple interest question
A = P(1 + rt)
A = Amount after t months or years
P = Principal or amount saved
r = interest rate = 5.18% = 0.0518
t = time.in years = 18 months
= 1 year and 6 month
= 1.5 year
A = $125( 1 + 0.0518 × 1.5)
A = $125 ( 1 + 0.0777)
A = $125(1.0777)
A = $134.71
11
Line y is longer than line x. But by how many millimetres? Please show your working out?
(2 points)
x)
y)
CM RULE
0
5 cm
10 cm
Enter your answer
I
Answer:
Step-by-step explanation:
10-5=5
James is playing an arcade game with tokens. In the first
game, he hits the jackpot and doubles the number of
tokens that he has. In the second game, James wins 12
more tokens. In his third and final game, he loses 4
tokens. James now has 170 tokens. How many tokens
did he have before he started playing the game?
Answer
81 tokens
Step-by-step explanation:
x+12-4=170
x+8=170
-8 -8
x=162
162/2=81 tokens
The number of tokens he had before he started playing the game is 81 tokens.
Given,
James is playing an arcade game with tokens.
In the first game, he hits the jackpot and doubles the number of tokens that he has.
In the second game, James wins 12 more tokens.
In his third and final game, he loses 4 tokens. James now has 170 tokens.
We need to find how many tokens did he have before he started playing the game.
What does the term mean?Doubles = multiply by 2
x more than M = M + x
Loses x from M = M - x
We have,
Let the number of tokens he had initially be M.
First game:
Doubles the number of tokens
= 2M
Second game:
James wins 12 more tokens.
= 2M + 12
Third game:
Loses 4 tokens.
= 2M + 12 - 4
= 2M + 8
James now has 170 tokens
This means:
2M + 8 = 170
2M = 170 - 8
2M = 162
M = 162 / 2
M = 81
Thus the number of tokens he had before he started playing the game is 81 tokens.
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It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the recommended cooking time for a turkey is about 16 minutes per pound
(a) Use a formula to express the total time T, in minutes, needed to preheat the oven and then bake a turkey weighing p pounds.
(b) Use your formula from part (a) to find the approximate time required to prepare a turkey weighing 14 pounds.
(a) The formula for the total time T, in minutes, needed to preheat the oven and bake a turkey weighing p pounds is T = 15 + 16p.
(b) The approximate time required to prepare a turkey weighing 14 pounds is 239 minutes.
We have,
(a)
To express the total time T, in minutes, needed to preheat the oven and then bake a turkey weighing p pounds, we can use the formula:
T = 15 + 16p
The first term, 15, represents the time needed to preheat the oven to 325 degrees (in minutes).
The second term, 16p, represents the recommended cooking time per pound for a turkey weighing p pounds (in minutes).
(b)
Using the formula T = 15 + 16p, we can find the approximate time required to prepare a turkey weighing 14 pounds:
T = 15 + 16 * 14
T = 15 + 224
T = 239
Therefore, the approximate time required to prepare a turkey weighing 14 pounds is 239 minutes.
Thus,
(a) The formula for the total time T, in minutes, needed to preheat the oven and bake a turkey weighing p pounds is T = 15 + 16p.
(b) The approximate time required to prepare a turkey weighing 14 pounds is 239 minutes.
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Pls i need help with this
Answer:
48
Step-by-step explanation:
surface area is the outside of everything.
Help i dont uderstand please help :(
Answer:
-3
Step-by-step explanation:
Plug in -3
2(-3)+3
Remember PEMDAS
Parentheses first: 2(-3)=-6
-6+3=-3
Hope this helps :)
What is the value of |-25|?
Answer:
25
Step-by-step explanation:
this answer is 25, essentially you just remove the negative hope this helps
what is 2 times 4 equal
Answer:
8
Step-by-step explanation:
Step 1: Convert to math
2 times 4 = 2 x 4
Step 2: Multiply
2 x 4 = 8
This is the same as 2 x 2 x 2 or 2³
Answer:
2 x 4 = 8
Step-by-step explanation:
2(4)=8
2+2+2+2=8
Jada is evaluating 8 × 3 × 4. She doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first. Which property is Jada using? associative property distributive property commutative property
Answer:
plz explain correctly please
Answer:
It would be Associative because she is Multiplying in different groups, so for example you said that she didn't know what 24 x 4 was so then she took 3 x 4 so she just regrouped the numbers to get the answer needed.
What is the probability of flipping two coins and both landing tails? Enter your answer in decimal form.
Answer:
If a=100dgree find C pllzzzzzzzzzzzzzzzzs
Find m∠POQ if ∠POQ and ∠QOR form a linear pair, as shown in the figure.
Answer:
155
Step-by-step explanation:
∠QOR= 25
∠POQ = x
here sum of both angles is 180 ( by linear pair)
therefore,
∠QOR + ∠POQ =180
25 + x = 180
x=180-25
x=155
hence, ∠POQ= 155
You bought 12 raffle tickets that are good for 4 raffles. If 715 total tickets were sold what is the probability that you will win at least 1 of the raffles?
Answer:
0.06546.
Step-by-step explanation:
Total number of tickets = 715
Good raffle tickets (Prize) = 4
Number of tickets bought = 12
[tex]\text{Probability of winning}=\dfrac{\text{Number of tickets bought}}{\text{Total raffle tickets}}[/tex]
[tex]\text{Probability of winning}=\dfrac{12}{715}[/tex]
[tex]\text{Probability of not winning}=1-\dfrac{12}{715}=\dfrac{703}{715}[/tex]
Let x be event of the number of winning prizes.
Probability that you will win at least 1 of the raffles is
[tex]P(x\geq 1)=1-P(x=0)[/tex]
[tex]P(x\geq 1)=1-^{4}C_0\left(\dfrac{12}{715}\right)^0\left(\dfrac{703}{715}\right)^{4-0}[/tex]
[tex]P(x\geq 1)=1-\left(\dfrac{703}{715}\right)^{4}[/tex]
[tex]P(x\geq 1)=1-0.93454[/tex]
[tex]P(x\geq 1)=0.06546[/tex]
Therefore, the required probability is 0.06546.
Which statement correctly describes the characterization in this excerpt? Indirect characterization is used to show that Steve is confused and lonely. Indirect characterization is used to show that Steve is isolated and worried. Direct characterization is used to show that Steve is confused and lonely. Direct characterization is used to show that Steve is isolated and worried.
Answer:
The answer is B
Step-by-step explanation:
Answer: B- Indirect characterization is used to show that Steve is isolated and worried.
Step-by-step explanation:
Express 120 as a percentage of 75
Answer:
62.5%
Step-by-step explanation:
75/120 x 100
= 62.5%
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
a. What would be the volume (in cubic centimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.
b. What would be the surface area (in square millimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.
Answer:
a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters
b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters
Step-by-step explanation:
a) We are assuming that the shape of the bacteria is a sphere.
Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the volume should be in cubic centimeters
Converting 0.75μm to centimeters
1 μm = 1 × 10^-4 cm
0.75 μm =
Cross Multiply
= 0.75 μm × 1 × 10^-4 cm/ 1 μm
= 0.000075cm
Volume of the Sphere(Bacteria) = 4/3 × π × r³
= 4/3 × π × (0.000075)³
= 1.767145867 × 10^-12 cm³
Approximately as 2 significant figures = 1.8 × 10^-12 cm³
b) The formula for the Surface area of a Sphere = 4πr²
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the surface area should be in square millimeters
Converting 0.75μm to millimeters
1 μm = 0.001 mm
0.75 μm =
Cross Multiply
= 0.75 μm ×0.001mm/ 1 μm
= 0.00075mm
Surface Area of a Sphere
= 4 × π × r²
= 4 × π × 0.00075²
= 7.06858 ×10^-6 mm²
Approximately to 2 significant figures
= 7.1 × 10^-6 mm²
Compute 81^3/4
Plz help :)
Answer:
531441/4
Step-by-step explanation:
Answer:
81.75!
Step-by-step explanation:
hope this helps! i worked this one out so if its wrong please tell me! シ︎
The radiator in a car is filled with a solution of 70 per cent antifreeze and 30 per cent water. The manufacturer of the antifreeze suggests that for summer driving, optimal cooling of the engine is obtained with only 50 per cent antifreeze. If the capacity of the raditor is 4.7 liters, how much coolant (in liters) must be drained and replaced with pure water to reduce the antifreeze concentration to 50 per cent?
Answer:
0.94 liters antifreeze is drained out and replaced with water to get a concentration to 50 per cent of the solution.
Step-by-step explanation:
Total amount of the solution is 4.7 liters.
It contains 70 percent antifreeze = 70% * of 4.7 = 3.29 liters of antifreeze
It contains 30 percent water = 30% * of 4.7= 1.41 liters water
For the solution to have 50 % antifreeze it must contain
4.7 * 50%= 2.35 antifreeze.
We have 3.29 liters and we want to have 2.35 liters of antifreeze
Therefore we will (3.29-2.35 =)0.94 liters drained out and replace it with water to get a concentration to 50 per cent.
96,240 is divisible by 2, 4, and 8. true or false?
Answer:
false
Step-by-step explanation:
96,240
a-9
2,3
8,9
Write the sum without sigma notation. Then evaluate the sum.∑2k=1 40k/k+3Choose the correct answer belowA. (40⋅1/1+3)+(40⋅2/2+3) B. 40k/2+3 C. 40⋅2/2+3 D. (40⋅1.1+3)+(40⋅2/2+3)+(40⋅3/3+3)
Answer:
A. (40⋅1/1+3)+(40⋅2/2+3)
Step-by-step explanation:
Given that:
[tex]\sum \limits ^2 _{k=1} \dfrac{40 \ k }{k + 3}[/tex]
which can be expressed as:
=[tex]\dfrac{40\times 1 }{1 + 3} + \dfrac{40\times 2 }{2 + 3}[/tex]
=[tex]\dfrac{40 }{4} + \dfrac{80 }{5}[/tex]
= [tex]10+ 16[/tex]
= 26
∴
[tex]\sum \limits ^2 _{k=1} \dfrac{40 \ k }{k + 3} = 26[/tex]
A truck with 20 inch diameter wheels is traveling at 45mi/hr
Find the angular speed of the wheels in rad/min,*hint* convert miles to inches & hours to minutes:
______rad/min
How many revolutions per minute do the wheels make?
______rpm
Show your work plzzzz
A wheel with a 20 in diameter has a circumference of 2π*(20 in) = 40π in.
For every 40π in traveled, a wheel makes one complete revolution, or turns an angle of 2π rad.
We need to convert from in to mi: there are 12 in to 1 ft, and 5280 ft to 1 mi, and so there are 12*5280 = 63,360 in to 1 mi.
We also need to convert h to min: there are 60 min to 1 h.
So we have an angular speed of
(45 mi/h) * ((2π)/(40π) rad/in) * (63,360 in/mi) * (1/60 h/min) = 2376 rad/min
As mentioned before, there are 2π rad to 1 rev, so
(2376 rad/min) * (1/(2π) rev/rad) ≈ 378.152 rev/min
(where rev/min is equivalent to rpm)
What is the least common multiple of 2, 5, and 10?
Submit Answer
Answer:
10
Step-by-step explanation:
The least common multiple is the smallest number that all 3 numbers will multiply properly to. In this case it is 10, because it is a multiple of all three of the numbers (2x5, 5x2, 10x1) and is the smallest as it cannot go below the largest number (10)
Hope this helped!
Answer:
10
Step-by-step explanation:
The least common multiple 10 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.
Kevin and Randy Muise have a jar containing 100 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $15.00. How many of each type of coin do they have?
Answer:
what do we know?
we know that a quarter is $0.25 and a nickel is $0.05
4x$.25 = $1
20x$0.05 = $1
and we have 84 coin
n = the number of nickels
q = the number of quarters
(1) n + q = 84 and
(2) 5*n + 25*q = 100*11.80 (always work in cents)
(3) 5*n + 25*q = 1180
Now substitute n from equation (1) into equation (3) and get
5*(84 - q) + 25*q = 1180
420 - 5*q + 25*q = 1180
20*q = 1180 - 420
20*q = 760
q = 38
Then using equation (1), plug in q
n + 38 = 84
n = 46
now check these values.
Is (.05*38 + .25*46 = 11.80)?
Is (2.30 + 9.50 = 11.80)?
Is (11.80 = 11.80)? Yes
Step-by-step explanation:
Plz Mark me as brainliest
Answer: 7 quarters and 19 nickels
Step-by-step explanation:
Hurry
Write 7.63 as a mixed number in simplest form.
[tex]7\frac{63}{100}[/tex]
Step-by-step explanation:
Hey there!
ANSWER: [tex]7\frac{63}{100}[/tex]EXPLANATION:7.63 as a mixed number form
If you want to write 7.63 as a mixed number form, you have to make 7 the whole number because it is in the ones and 63 is the fraction because it comes after the decimal point.
[tex]7.63=7\frac{63}{100} \text{(ANSWER)}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
determine the quotient of 1 3/4÷2/5
Answer:
Step-by-step expl1 3/4 / 2/5 = 35
8
= 43
8
= 4.375
Last week Asanji ran 17 miles more than Scott. Asanji ran 22 miles. How many miles did Scott run?
Answer:
Scott ran 5 miles
Step-by-step explanation:
22-17=5
Reasonableness...
5+17=22
Answer: 39 <3 ^_^
Step-by-step explanation: Last week Asanji ran 17 miles more than Scott. Asanji ran 22 miles. How many miles did Scott run? 17+22=
during the week of the country fair, fifteen thousand, six hundred nine entry tickets were sold. Is it correct to write the number as 15,069 explain.
Answer:
No. It's 15,609
Step-by-step explanation:
The fifteen thousand represents the 15,000
The six hundred is 600
The nine is 9.
So it is 15,609
A short order cook can prepare 40hamburgers in 30 minutes
Answer:1.33333333333 hamburgers every minute
Step-by-step explanation:40 burgers ÷ 30minutes = 1.333333 burgers every minute
4x+2x=24 i need the answer
Answer:
x =4Step-by-step explanation:
[tex]4x+2x=24\\\\\mathrm{Add\:similar\:elements:}\:4x+2x=6x\\6x=24\\\\\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{24}{6}\\\\Simplify\\x=4[/tex]
Answer:
x =4
Step-by-step explanation:
[tex]4x+2x=24[/tex]
Simplify
[tex]6x = 24[/tex]
Divide both sides of the equation by 6
[tex]\frac{6x}{6} = \frac{24}{6} \\\\x = 4[/tex]
5. One January morning, the temperature was -8 degrees. By the afternoon, it rose 5 degrees. What was the temperature in the afternoon? (Only enter a number answer) * Your answer This is a required question Pa Back Next ever submit passwords through Google Forms.
Answer: -3
Step-by-step explanation:
. Leah invested some money at 4.5% annual interest and $1000 more than four times that amount at 6%. Her total annual income from these two investments was $801. How much did she invest at each rate
Answer:
The amount invested are $2600 and $11400 respectively
Step-by-step explanation:
Let the first amount be x
Given:
(First Investment)
Principal (P1) = x
Rate (R1) = 4.5%
Time (T) = 1 year
(Second Investment)
Principal (P2) = 4x + 1000
Rate (R2) = 6%
Time (T) = 1 year
Income = $801
Calculating the income from the first investment;
[tex]I_1 = \frac{P_1R_1T}{100}[/tex]
Substitute values for P1, R1 and T
[tex]I_1 = \frac{x * 4.5 * 1}{100}[/tex]
[tex]I_1 = \frac{4.5x}{100}[/tex]
Calculating the income from the second investment;
[tex]I_2 = \frac{P_2R_2T}{100}[/tex]
Substitute values for P2, R2 and T
[tex]I_2 = \frac{(4x + 1000) * 6 * 1}{100}[/tex]
[tex]I_2 = \frac{6(4x + 1000)}{100}[/tex]
[tex]I_1 + I_2 = Annual\ Income[/tex]
So:
[tex]\frac{4.5x}{100} + \frac{6(4x + 1000)}{100} = 801[/tex]
Multiply through by 100
[tex]100 * \frac{4.5x}{100} +100 * \frac{6(4x + 1000)}{100} = 801 * 100[/tex]
[tex]4.5x +6(4x + 1000) = 801 * 100[/tex]
[tex]4.5x +24x + 6000 = 80100[/tex]
Collect Like Terms
[tex]4.5x +24x = 80100 - 6000[/tex]
[tex]28.5x = 74100[/tex]
Divide through by 28.5
[tex]x = \frac{74100}{28.5}[/tex]
[tex]x = \$2600[/tex]
Recall that; the second invest
Amount Invested = 4x + 1000
This gives
[tex]Amount = 4 * \$2600 + 1000[/tex]
[tex]Amount = \$11400[/tex]
Hence;
The amount invested are $2600 and $11400 respectively