4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.
Let the time taken for them to paint equal areas be x hrs.
Naomi = 2x + 16.5
Clair = 4x + 7.5
Naomi's area = Clair's area
This is :
2x + 16.5 = 4x + 7.5
4x - 2x = 16.5 -7.5
2x = 9
x = 4.5 hours
Therefore 4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.
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2B math need help with this problem have a math test tomorrow
Answer:
∴ x = 113
Step-by-step explanation:
5-sided polygon: pentagon
total interior angles of a pentagon
= (5-2) × 180°
= 540°
x + x + x + 14 = 540° - 90° - (180 - 83)°
3x + 14 = 540 - 90 - 97
3x = 353 - 14
3x = 339
∴ x = 113
Whiskers the cat weights 2 2/3 kg piglio weighs 4 kg how many times as heavyas whiskers is piglio
The weight of Piglio is 3/2 times of weight of Whishkers.
Fraction is comparison between two mathematical numbers or quantities.
Given that, Whisker weights 2 2/3 kg
Piglio weights 4 kg
Weight of Piglio is fraction of weight of Whisker = 4/(2 2/3) = 4/(8/3) = (4*3)/8 = 3/2 times
The weight of Piglio is 3/2 times of weight of Whishkers.
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When collecting data, what is a sample?
Thank you for helping.
Answer:
Step-by-step explanation:
Artista , it's the 3rd answer, a random set from the group being studied
What value of x is in the solution set of the inequality 9 2x 1 9x 18?.
The value of x in the solution set of the inequality 9(2x+1) < 9x-18 is
x <-3.
Given inequality:
9(2x+1) < 9x-18
simplifying
9*2x + 9*1 < 9x - 18
18*x + 9 < 9x - 18
18x + 9 < 9x - 18
combining the like terms
18x - 9x + 9 < -18
9x + 9 < -18
combining the constants
9x < -18-9
9x < -27
divide by 9 on both sides
9x/9 < -27/9
x < -27/9
x < -3
Therefore the value of x in the solution set of the inequality 9(2x+1) < 9x-18 is x <-3.
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if records indicate that 2 houses out of 1000 are expected to be damaged by fire in any year, what is the probability that a woman who owns 14 houses will have fire damage in 1 of them in a year? (round your answer to five decimal places.)
Given that there will be 14 fires in a year, there will be an expected number of fires. There are more than 1000 points available in this question. We must determine the probability that a woman owned.
In a year, a fire will harm one in 12 homes. That is, given if n is equal to 12 and that the value of x is equal to 1, the probability of x being equal to 1 is also equal to 1. Hence, due to fire damage. We discovered that the probability value p equals 0.014, and we are aware that, in general, binomial probability, or the probability that x equals x, is equal to c x, p to the power of x times q to the power of n minus x. Substituting all of these values into the formula, where q = 1 - p, gives us the value of 12 c 1, or 0.014. The total power of 1 for q is 1 minus p, or 1 minus 0.014. 11 points is the power of 12 as a whole less 1. The result of simplification is 0.143865, so Therefore, we have determined that the likelihood of one out of every twelve homes experiencing fire damage is 0.143865 percent.
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PLEASE HELP !!!! brainliest will be given to first answer
John is in charge of feeding the pigs and cows on the farm. The cow's food costs twice as much as the pig's food. There are 46 cows and 22 pigs on the farm. John has a $860 budget for food a month. How much can John spend on food for each cow per month?
Answer:
Approximately $15 per cow
Step-by-step explanation:
2 is a factor of 81. Show how you know
Which ordered pair is a solution to the linear equation: 2x+3y=6?
2x-3y=6
Intercepts
x= 3
y= 2
ordered pairs: (6,2) (1.2,-1.2)
Hynix is comparing two numbers.He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11. Which equation can he use to find the value of the smaller number X
The equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number.
According to the question,
We have the following information:
Hynix is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11.
Now, let's take the larger number to be y.
So, we have:
y = 2(4+x)
y = 8+2x
y-x = 11 ....(2)
Putting the value of y from above equation:
8+2x-x = 11
8+x = 11
x = 11-8
x = 3
Now, putting the value of x in equation 2:
y-3 = 11
y = 11+3
y = 14
Hence, the equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number and the value of x is 3 and that of y is 14.
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Lou and Jacob sold 200 pieces of jewelry. If 20% of Lou's sales were rings, and Jacob sold 35 rings, who sold more rings? How many more?
A. Jacob sold 5 more rings than Lou
B. Lou sold 5% more rings than Jacob
C. Jacob sold 5% more rings than Lou
D. Lou sold 5 more rings than Jacob
Show workk!!
Answer:
below
Step-by-step explanation
If they EACH sold 200 pieces
then Lou sold 200 x 20% = 200 x .20 = 40 rings which is 5 more than Jacob
a survey of athletes at a high school is conducted, and the following facts are discovered: 51% of the athletes are football players, 43% are basketball players, and 1% of the athletes play both football and basketball. an athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
The probability that the athlete is either a football player or a basketball player is 93%.
What is probability?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Football players= 51%
Basketball players= 43%
Both football and basketball= 1%
Probability = Football players + Basketball players
- Both football and basketball
Probability= 51% + 43% - 1%
Probability= 93%
Inconclusion The probability that the athlete is either a football player or a basketball player is 93%.
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Ben and Katy throw darts at a target.
Ben's ratio of hits to misses is
5:1
Katy's ratio of hits to misses is 3:1
Ben says,
"5 is bigger than 3, so I must have more hits than Katy."
Give an example to show that this might not be true
In the given ratio, the statement "5 is bigger than 3, so I must have more hits than Katy." is false. Because this one refer the missing rate.
Ratio:
The relationship between two things when it is expressed in numbers or amounts is known as ratio.
Given,
Ben and Katy throw darts at a target. Ben's ratio of hits to misses is
5:1 Katy's ratio of hits to misses is 3:1
Ben says, "5 is bigger than 3, so I must have more hits than Katy."
Here we need to show that this might not be true.
Here we have the following missing ratios,
Ben's missing ratio = 5 : 1
Katy's missing Ratio = 3 : 1
Here Ben says "5 is bigger than 3, so I must have more hits than Katy."
While we carefully, looking into the given question, we have identified that the given ratios are represents the loosed dart.
So, the given statement is wrong.
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Challenge Andy and Emily each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the
wire they need. Andy needs 25 feet of the wire. Emily needs 15 yards of the wire. How much will each of them spend for wire?
Cost of Wire
Length in
Inches (x)
110
125
160
185
Cost in
Dollars (y)
5.50
6.25
8.00
9.25
Andy will spend $15 for her wire. Emily will spend $27.25 for her wire.
1 = 12 ℎ
1 = 3 = 36 ℎ
=5.50/110 (⁄ℎ)
=6.25/125 (⁄ℎ)
=8.00/160 (⁄ℎ)
=9.25/185 (⁄ℎ)
Andy needs 25 feet of the wire
25(12 inches) = 300 inches
300(5.50 / 110) = 15(Dollars)
Andy will spend $15 for her wire.
Emily needs 15 yards of the wire
15(36 ℎ) = 540 ℎs
110a + 125b + 160c + 185d ≥ 540
6(110) = 660
4(110) + 125 = 565
3(110) + 2(125) = 580
110 + 3(125) = 485
2(125) + 2(160) = 570
110(5.50/110) + 3(145)6.25/125 = 27.25
540 (5.50/110) = 27
Emily will spend $27.25 for her wire.
If she can cut the wire, then Emily will spend $27 for her wire.
∴ Andy will spend $15 for her wire. Emily will spend $27.25 for her wire.
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help
If f(1) = 3 and f(n) = f(n − 1) – 3 then find the value of f(4).
If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.
Define function.A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
Given,
Function:
f(1) = 3
f(n) = f(n - 1) -3
Let n = 2
f(2) = f(2-1) - 3
f(2) = 3 - 3
Relation:
f(2) = 0
Let n = 3
f(3) = f(3 -1) - 3
f(3) = 0 -3
f(3) = -3
Let n = 4
f(4) = f( 4 -1) - 3
f(4) = -3 -3
Value:
f(4) = -6
If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.
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If someone uses 400 liters of orange juice, how much strawberry juice would they need?
Answer:
you need to post the rest of the problem for us to figure it out. if someone walked up to you and asked you this you'd think they're out of their mind
what is 5.37 divied by 3 equals explain your answer
The answer is 1.79.
What is division?Division is breaking a number up into an equal number of parts.
Given that, 5.37 divided by 3
5.37÷3 = 1.79
Hence, 5.37 divided by 3 equals to 1.79.
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Find the equation of the straight line passing through each of the following pairs of points.
( 11, 13) and ( 14, 19)
The equation of the line is, y = 2x - 9.
What is the point slope form of the equation of line?
The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).
Consider, the given two points, (11, 13) and (14, 19).
First to find the slope of the line, using the given two points,
[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{19-13}{14-11} = \frac{6}{2} =2[/tex]
Therefore, the slope of the line is, 2.
Now to find the equation of line.
Consider, the point - slope form of the line,
[tex]y-y_1=m(x-x_1)[/tex] ..(1)
where, [tex](x_1, y_1)[/tex] is one of the given point and m is the slope of the line.
Here, [tex](x_1, y_1) = (11, 13), m = 2[/tex]
Substitute the values in the equation (1).
[tex]y-13=2(x-11)\\y-13=2x-22\\y=2x-22+13\\y=2x-9[/tex]
Therefore, the equation of line is, [tex]y=2x-9[/tex].
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HELP ME: Rewrite _____ using a common factor. (Screenshot with question and answers below)
Rewritten equation using a common factor is (1) [tex]\frac{1}{4}xy(x^{2} +3y)[/tex].
Given equation,
[tex]\frac{1}{4}x^{3}y+\frac{3}{4}xy^{2}[/tex]
Taking [tex]\frac{1}{4}xy[/tex] common,
[tex]\frac{1}{4}xy(x^{2} +3y)[/tex]
Hence, the equation.
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The equation of line s is y=1/3x-3. The equation of line t is y=-x+5. The equations of line s and t form a system of equations. The solution to the system of equations is located at point P. Which graph correctly shows line s, line t, and point P?
The graph A is correctly shows for the line s, line t, and point P.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation of line for s,
⇒ y = 1/3x - 3
And, The equation of line for t,
⇒ y = - x + 5
Now,
Solve the both equation of line for the solution as;
Since, The equation of line for s,
⇒ y = 1/3x - 3
And, The equation of line for t,
⇒ y = - x + 5
Equate both equation, we get;
⇒ 1/3x - 3 = - x + 5
⇒ 1/3x + x = 5 + 3
⇒ 4/3x = 8
⇒ x = 8 × 3 / 4
⇒ x = 2 × 3
⇒ x = 6
And, ⇒ y = - x + 5
⇒ y = - 6 + 5
⇒ y = - 1
Thus, The solution of the lines is;
Point P = (6, - 1)
Clearly, The graph A is correctly shows for the line s, line t, and point P.
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Barabas received a mark of 50% on a recent test. Barabas answered 13 of the first 20 questions correctly. Barabas also answered 25% of the remaining questions on the test correctly. If each question on the test was worth one mark, how many questions in total were on the test?
Answer:
32
Step-by-step explanation:
You want the total number of questions on the test if the final score was 50%, and there were 13 correct out of the first 20, and 25% correct among the remainder.
SetupLet q represent the number of questions on the test. Then (q-20) is the number of remaining questions, and the number correct is ...
13 +0.25(q -20) = 0.5(q)
Solution8 +0.25q = 0.5q . . . . . . . simplify
8 = 0.25q . . . . . . . . . . . . subtract 0.25q
32 = q . . . . . . . . . . . . . . multiply by 4
There were 32 questions in total on the test.
Which equation is the standard form of -8x + 3x² = -19?
8r 32² 19 0
The standard form of the equation -8x + 3x² = -19 is 3x² - 8x + 19 = 0.
How to write equation in standard form?The standard form of quadratic equation is ax² + bx + c = 0, where 'a' is the leading coefficient and it is a non-zero real number.
The standard form of quadratic equation with a variable x is of the form ax² + bx + c = 0, where a ≠ 0, and a, b, and c are real numbers.
Therefore, a, b and c are constant and x are the variables.
Let's represent the quadratic equation in standard form.
-8x + 3x² = -19
using the format ax² + bx + c = 0,
3x² - 8x + 19 = 0
where
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Nine lemons cost $4.
Use the table to determine how many lemons can be bought for $20
Lemons 9 18 27 36 ?
Cost $4 $8 $12 $16 $20
Answer:
45 lemons can be bought with $20
Step-by-step explanation:
+9 +9 +9 +9 +9
Lemons 9 18 27 36 x
Cost $4 $8 $12 $16 $20
+4 +4 +4 +4 +4
Write the following expressions in correct algebraic notation:
a) 7 x p
b) p x p
The Algebraic Notation of the expression is :
a) 7 x p
7 is multiplied to the p
b) p x p
p is multiplied itself.
Given,
In the question:
a) ) 7 x p
b) p x p
To write the above expressions in correct algebraic notation.
What are the algebraic notations and operations?
The algebraic expressions are used to solve mathematical equations. There are 3 types of algebraic expressions namely, monomial, binomial, and polynomial expressions. The basic algebraic operations are addition, subtraction, multiplication, and division.
Come to the question:
a) 7 x p
7 is multiplied to the p
b) p x p
p is multiplied itself.
Hence, The Algebraic Notation of the expression is :
a) 7 x p
7 is multiplied to the p
b) p x p
p is multiplied itself.
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Look at this set of ordered pairs:
(0, 0)
(0, -19)
(-8, 0)
Is this relation a function?
yes
no
Determine the y-intercept of the line
11x - 8y = 22
Answer:
- 2.75 or - 2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Put in zero for x to solve for y
11x -8y = 22
11(0) -8y = 22
-8y = 22 Divide both sides by -8
y = -2.75
(0, -2.75)
Answer:
[tex]-\frac{22}{8}[/tex] or [tex]- \frac{11}{4}[/tex] in mixed number form, [tex]-2\frac{3}{4}[/tex] simplified
Step-by-step explanation:
Minus 11x from 11x and 22.
You will then get -8y=11x+22.
Divide all the numbers by -8y.
You will get y=-11/8x-22/8
So the y-intercept is -22/8 or -11/4
I hope I got this right
What is 2+2 - 5 + 42 - 64 (5 x 5) - 32 x 1/2 + 6/5 * 2^5
Answer:
-1536.6 if not the answer den sorry
Step-by-step explanation:
Answer:
its -39363/25, -1574.32, and -1574 13/25 (hopefully this helps, sorry if its wrong)
6 people carry the weight 216kg at a time. How many people are needed to carry the weight of 360kg
The number of people needed to carry the weight of 360 kg is 10 people.
The number of people are needed to carry the weight of 360kg can be calculated as follows ?
The first step is to put the demanded weight and the known weight of the required number of people into a formula which demanded weight is placed on numerator side and the known weight of the required number of people is placed on denominator side.
Formula
= [tex]\frac{360}{216}[/tex]
The next step is to multiply the number that has been entered into the fractional formula by the number of people who are known to be able to carry 216 kg
= [tex]\frac{360}{216}[/tex] × 6
= 10
Hence, the number of people needed to carry the weight of 360 kg is 10 people.
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You would need 10 people to carry a weight of 360 kg.
To find out how many people are needed to carry a weight of 360 kg, we can set up a proportion based on the information provided.
Let's assume that x represents the number of people needed to carry the weight of 360 kg.
The proportion can be set up as follows:
6 people / 216 kg = x people / 360 kg
We can solve this proportion by cross-multiplying:
216 kg · x people = 6 people · 360 kg
216x = 2,160
Dividing both sides of the equation by 216:
x = 2,160 / 216
x = 10
Therefore, you would need 10 people to carry a weight of 360 kg.
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can you please answer this? its timed so dont take too long!
2g³-5g²+6 is the equivalent expression of (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2
5g⁴+5g³-17g²+6g-3g⁴-6g³+7g²+12/g+2
2g⁴-g³-10g²+6g+12/g+2
Factorize the numerator
(g+2)(2g³-5g²+6)/g+2
g+2 in numerator and denominator will be cancelled.
2g³-5g²+6
Hence, 2g³-5g²+6 is the equivalent expression of (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. 7.8
B. 9.8
Step-by-step explanation:
A. 2006 = 3 years
y = 7.1(1.03)ˣ
y = 7.1(1.03)⁽³⁾
y = 7.1(1.092727)
y = 7.7511907
y = 7.8
----------------------------------------------------------------------------------------------------------
B. 2014 = 11 years
y = 7.1(1.03)ˣ
y = 7.1(1.03)⁽¹¹⁾
y = 7.1(1.38423387)
y = 9.82806047
y = 9.8
If it says, "Round to the nearest tenth," the answer is 9.8. If the answer says, "Round to the nearest whole number," the answer is 10
I hope this helps!
I Need help wit this one
The area of the shaded region is 422.16 cm sq.
Given,
In the question:
Radius of the circle is 12 cm.
The length of rectangle is 10cm
and, Breadth of the rectangle is 3cm.
A rectangle sits inside a circle.
To find the Area of the shaded region.
Now, According to the question;
we know that:
Area of a circle is = [tex]\pi r^2[/tex]
Radius = 12cm
Area of a circle is = 144[tex]\pi[/tex]
Using [tex]\pi[/tex] = 3.14
Area of a circle is = 144 x 3.14 = 452.16 cm sq.
The area of rectangle = 3 x 10 = 30cm sq.
So, The area of the shaded region:
452.16 - 30 = 422.16cm sq.
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