The length of the side of the given square is 12.3 inches approx.
What is a square?Due to the fact that this particular group of numbers makes up a square, they are known as square numbers (or squared numbers).
Finding the area of a square is easy because they all have equal sides. Just "square" (multiply by itself) one of their sides!
So, we have:
The area of the square is 151 in².
Area formula: s²
Now, calculate the length of the side as follows:
A = s²
151 = s²
s = √151
s = 12.3 approx
Therefore, the length of the side of the given square is 12.3 inches approx.
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What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inches, and with a height measuring 7 inches?
Answer:
98
Step-by-step explanation:
i just finished this practice
Answer:
98 in³
Step-by-step explanation:
I just did the practice with a 100 percent and all answers correct first try :P
Find the area of rectangle ABCD
Answers:
A. 20
B. 10 square root 2 + square root of 82
C. 24
D. 12
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Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
Solve for x
Solve for x
Answer:
x=19
Step-by-step explanation:
20/36=30/(x+5+30)
20(x+35)=30(36)
20x+700=1080
20x=380
x=19
Roberto earns $6.50 per hour. He worked 32 hours at the regular rate, 8 hours at a time and a half, and 8 at double time. How much did he earn?
Answer $390
Step-by-step explanation:
Answer:
$390
Step-by-step explanation:
First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.
Total: 208 + 78 + 104 = $390
Write an equation for the nth term of the geometric sequence 0.6, 3, 15, -- 75, ...
Then find a6. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
nth term = 0.6 × 5ⁿ⁻¹
a₆ = 0.6 × 5⁵ = 1875
The sixth term of the sequence is [tex]3,125.6[/tex]
Geometric sequence
GIven the geometric seqence 0.6, 3, 15, 75, .
The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]
a is the first termn is the number of termsr is the common ratioGiven the following
a = 0.6
r = 5
n = 6
Get the nth term
[tex]T_n= 0.6(5)^{n-1}[/tex]
For thr sixth term:
[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]
Hence the sixth term of the sequence is [tex]3,125.6[/tex]
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Jennifer has 12 nickels and dimes. The value of her coins is $1
Answer:
4 dimes, 12 nickels
Step-by-step explanation:
nickels are worth 5 cents,
12x5=60
$1 is worth 100 cents
100-60 is 40
dimes are worth 10 cents
40 / 10 is 4
so 4 dimes
The number of dimes = 8 dimes
The number of nickels = 4 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of nickels be = x
Let the number of dimes be = y
Now , the total number of coins = 12
So , the equation will be
x + y = 12 be equation (1)
Now , the total value of coins = $ 1
The value of 1 dime = $ 0.10
The value of 1 nickel = $ 0.05
So , the equation will be 0.05x + 0.10y = 1 be equation (2)
Multiply equation (2) by 100 , we get
5x + 10y = 100 be equation (3)
Multiply equation (1) by 5 , we get
5x + 5y = 60 be equation (4)
Subtracting equation (4) from equation (3) , we get
5y = 40
Divide by 5 on both sides of the equation , we get
y = 8
Therefore , the value of y = 8
Substitute the value of y in equation (1) , we get
x + y = 12
x + 8 = 12
Subtracting 8 on both sides of the equation , we get
x = 4
Therefore , the value of x is 4 and value of y is 8
Hence , The number of dimes = 8 dimes
The number of nickels = 4 nickels
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At Garcia's Bike Rentals, it costs $45 to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar?
Answer:
5
Step-by-step explanation:
Answer:
$0.09/minute
Step-by-step explanation:
$45/8 hours is $5.63 per hour
There is 60 minutes in an hour.
So you do $5.63/60 minutes and it's about $0.09
So it's 9 cents per minute
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The sum of my number and two and two thirds is seven. What is my number?
7 is in one box. Below it are 2 boxes. N is in one. 2 and 2-thirds is in the other.
Check all that apply.
The variable, n, represents the unknown number.
The unknown number and 2Two-thirds equals 7
4One-third+2Two-thirds= 7
9Two-thirds- 2Two-thirds= 7
n = 4One-third
Answer:
1,2,3,5
Step-by-step explanation:
Answer:
abce
Step-by-step explanation:
Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded monthly. Round your answer to the nearest cent.
Please select the best answer from the choices provided
A. $900.90
B. $875.02
C. $1,102.94
D. $1,012.10
Answer: a
Step-by-step explanation:
Took test
JJack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answer:
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
Step-by-step explanation:
Write a story to match the equation: x + 2 1/2 = 10
Lin likes to bake batches of muffins and share them with friends and family. She needs 10 cups of flour for her next batch, but only has 2 1/2 cups left. How much more flour does she need?
Answer:
She needs 15/2 cups of flour.
Step-by-step explanation:
x+2 1/2=10
2 1/2=5/2
x+5/2=10
x=10-5/2
x=20/2-5/2=15/2
Solve for X: X+8=3(x-7)-5
Answer:
x = 17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
x + 8 = 3(x - 7) - 5
Step 2: Solve for x
Distribute 3: x + 8 = 3x - 21 - 5Combine like terms: x + 8 = 3x - 26[Subtraction Property of Equality] Subtract x on both sides: 8 = 2x - 26[Addition Property of Equality] Add 26 on both sides: 34 = 2x[Division Property of Equality] Divide 2 on both sides: 17 = xRewrite/Rearrange: x = 17Answer:
17
Step-by-step explanation:
X+8=3(x-7)-5
x+8=3x-21-5
x+8=3x-26
8=2x-26
34=2x
Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know
Jess make a big kettle of rice and beans.He used 1 1/2 cup of beans he used 4 cups times as much rice how many cup of rice did Jess use
1.5(4) = 6
jess used 6 cups of rice
HELP MEEEEE PLEASEEE
Answer:
i do not know but you need to answer you text messages
Step-by-step explanation:
Find the distance from A to C
Answer:
7
Step-by-step explanation:
Answer:74
Step-by-step explanation:
Please help ten points
A vending machine sells chips for $0.50 and candy bars for $1.00. If Jim spent $5.50 on snacks in the machine over the course of a week, how many candy bars did he buy? G. 2 H. 3 J. 4 K. Cannot be determined from the given information
Answer:
can't be determined
Step-by-step explanation:
we would need to know the total number of bars/chips he brought
what is the sum of 7 and t/2
Answer:
14/2+t/2 so ( 14+t)/2 is the answer
2x + 6y = −6,
4x − 3y = −12
What is the solution to the system of equations?
(
,
)
Answer:
x=-3, y=0. (-3, 0).
Step-by-step explanation:
2x+6y=-6
4x-3y=-12
---------------
-2(2x+6y)=-2(-6)
4x-3y=-12
---------------------------
-4x-12y=12
4x-3y=-12
----------------
-15y=0
y=0/-15=0
2x+6(0)=-6
2x=-6
x=-6/2
x=-3
Megan is planning to make dinner for a group of friends. She wants to make each person a personal pizza. It takes Megan 3 minutes to prepare a personal pizza with toppings. The function P(f) = 3f represents the time it takes to prepare the pizzas, where f is the number of friends attending her dinner party.
The function C(f) = 30 represents the time to cook the pizzas since it will take Megan 30 minutes regardless of how many friends attend..
Which expression represents how long it will take Megan to prepare and cook the pizzas
A. P(f) + C(f)
B. P(f) – C(f)
C. P(f) ∙ C(f)
Answer:
The answer is A
Step-by-step explanation:
You are adding the time it takes to make a pizza so it isn't B or C
(Look at attached imagine)
Answer:
C. [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Step-by-step explanation:
Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8.4 quarts of milk left over, how many quarts of milk did she collect this morning?
Answer:
11.2
Step-by-step explanation:
The answer is 11.2
11.2*.25=2.8
11.2-2.8=8.4
What is the height of the boat in the scale model?
What length is the real boat?
Answer:
15
Step-by-step explanation:
a) The height of the real boat is 15 feet and the scale model is 3 inches
b) The scale model is 9 inches , and the real height is H = 45 feet
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The proportion of scale model of the boat to the real boat is 1 : 5
Now ,
a)
The height of the real boat is 15 feet and the scale model is k inches
From the proportion , we get
1 / 5 = k / 15
Multiply by 15 on both sides , we get
k = 3 inches
b)
The scale model is 9 inches , and the real height is H
From the proportion , we get
5 / 1 = H / 9
Multiply by 9 on both sides , we get
H = 45 feet
Hence , the proportion is solved
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48 is what percent of 64?
Answer:
Answer is 75.
Step-by-step explanation:
I hope it's helpful!
Helppppppp meeeeeee pleaseeeeee asappp
Answer:
C
Step-by-step explanation:
open circle, arrow pointing left
|x-4|+6=13 solve this equation
Answer:
I THINK it would be 11.
6 + 4y = Y-6
hurry please giving 15 points
Answer:
y= -4
Step-by-step explanation:
The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is
Answer:
0.6316
Step-by-step explanation:
The computation of the probability that 2 people were excited without replacement is shown below:
There is a total of 20 people
out of which 16 are excited and the remaining 4 would be non-excited
Now the probability would be
[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]
= 0.6316
At a sale, dresses were sold for $192 each. This price was 96% of the dress's original price. How much did a dress originally cost?
Answer:
$199.68
Step-by-step explanation:
You would have to find 4% of 192.
That is 7.68.
192+7.68=199.68.