Answer:4.5 hours, 4 hours and 30 minutes, 4 and a half hours
Step-by-step explanation: you are averaging, so you add all of the numbers together and divide that by the number of numbers.
3+6=9, 9 divided by 2=4.5
Answer:
2hours
Step-by-step explanation:
let windows = x
Mrs. Saunders can clean one-third of the windows in an hour = x/3
daughter can clean one-sixth of the windows in an hour = x/6
so,
x/3+x/6 = 1
thus, x = 2
mother and daughter together can clean the windows in 2 hours
15 points given to whoever answers
The table represents a linear function.
What is the slope of the function?
–3
–2
3
4
Answer:
The slope of the function is 3
Step-by-step explanation:
To find the slope
Find the change of y over change of x or (Y²-Y¹)/ (X²- X¹) Pick two points on the table for demonstration purposes (1,7) and (2,10) Apply the formula to the points If you can divide your fraction to the simplest form the slope is three*This method works for any other two other points and the work is in the attachment above*
Assessment
Practice
11. On a recent homework assignment, Eli needed to solve the equation
g² = 49. He incorrectly wrote g = -7.
PART A
What is the correct solution?
PART B
Critique Reasoning What error did Eli likely make?
He did not take the square root of 49 correctly since (-7)2 49.
® He did not solve the equation completely since there is a positive
solution as well.
He did not solve the equation completely since there are two positive solutions.
He did not solve the equation completely since there are two
negative solutions.
Answer:
Step-by-step explanation:
Answer:
what is the correct solution
Step-by-step explanation:
To the nearest tenth, estimate √67.
Answer:
Step-by-step explanation:
8.2
Answer: 8.2
Step-by-step explanation:
sqrt(67) is more than sqrt(64) which is 8, but far from sqrt( 81) which is 9. It is less than half the disnatce between the two and therefore is less than 8.5.
Just put it in a calculator.....
Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is [tex]\sqrt[3]{}[/tex](x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
[tex]\sqrt[3]{}[/tex](x¹³)
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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ppppppllllllssss hhhhheeeeellllpppppppp
Answer: its a 18
Step-by-step explanation:
1. Which square-large, medium, or small-covers more of the plane? Explain your reasoning.
The large square covers more
(See attachment below)
Explanation- The large square has the highest dimension and by extension, it has the highest area.
This means that, less large squares will be needed to cover more areas compared to other sizes of the squares
Area of the square =(side)².
square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle and a special kind of parallelogram.
By observation,
9 small squares are equivalent to one large square, implying that the 5 large squares are giving us 45 small squares.
4 small squares can fit into one medium square, implying that the 10 medium squares are giving us 40 small squares.
There are only 10 small squares.
Hence, the large square covers more of the plane
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Answer the 3 question in the photo
[easy points]
Answer:
answer below
Step-by-step explanation:
1.the shape below has 4 edges
2.the shape below has 5 faces
3.the shape below has 8 edges
Perimeter of
6x-2
2x + 4
2y + 4
The right response is Perimeter, x - 2y = 9.
The parameters listed in the question are:
A rectangle's perimeter is equal to 6 x – 2, its length to 2 x + 4, and its width to 2 y + 4.
The perimeter is calculated using the following formula: 2(L) + 2 (W)
6x - 2 = 2(2x + 4) + 2(2y +4) = 4x + 8 + 4y + 8
The result is: x - 2y = 9 and 2x - 4y = 18.
Consequently, the right response is x - 2y = 9.
What is a perimeter?The sum of a polygon's sides is what is referred to as its perimeter. For the perimeter calculation, the shape must be closed. And the polygonal shapes are either one- or two-dimensional.
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write two ratios that are equvilent to 3:11
Answer:
6:22, 9:33
Step-by-step explanation:
When writing equivalent ratios, you use two of the numbers from the original ratio and multiply them evenly to get an equivalent ratio.
[tex]\mathrm{p:q~or~\frac{p}{q} = \frac{x(p)}{x(q)}}\\\mathrm{\frac{6 \times 2}{11 \times 2} = 6:22}\\\mathrm{\frac{6 \times 3}{11 \times 3} = 9:33}[/tex]
Answer:
6:22 and 9:33
Step-by-step explanation:
Answer: 6:22 and 9:33
Think of the ratio like a fraction, one way to find an equivalent ratio is to simplify the current ratio. But in this case, we are unable because we can divide 3 by 3 to get one, but not 11 by 3.
3 divided by 3 = 1
11 divided by 3 = does not evenly divide
Another way is to multiply both numbers by the same number.
3 times 2 = 6
11 times 2 = 22
And we can just keep doing the same with different numbers.
3 times 3 = 9
11 times 3 = 33
A circular mosaic has radius 3 meters. Find the area. Round your answer to the nearest hundredth.
Group of answer choices
56.52 square meters
18.84 square meters
28.26 square meters
6.14 square meters
A circle is a round-shaped figure that has no corners or edges. If a circular mosaic has radius 3 meters then the area is 28.26 square meters.
What is Circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that a circular mosaic has radius 3 meters.
We need to find the area of circular mosaic.
Area of circle=πr²
Here r=3
π=3.142
Substitute the values of pi and r in Area formula
Area =3.142*3²
=3.142*9
=28.26
Therefore area of circular mosaic is 28.26 square meters.
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Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
f(x) / g(x)
The given values f(x) / g(x) =2 x+5 / x²-3 x+2
What are the domain of the function f(x) / g(x)Given: f(x)=2 x+5 and g(x)=x²-3 x+2
f(x) / g(x) =2 x+5 / x²-3 x+2
The function operation of f(x) / g(x) =2 x+5 / x²-3 x+2
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Solve -3 < 2x + 3 < 5
The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
Inequality:
When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.
Here the given Inequality is -3<2x+3≤5
⇒ -3<2x+3≤5
⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }
⇒-6 < 2x ≤ 2
⇒-3 < x ≤ 1
⇒-3 < x and x ≤ 1
⇒ x > -3 and x ≤1
Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
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The length of a bacterial cell is about 4 x 10−6 m, and the length of an amoeba cell is about 2.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
The bacterial cell length is 62.5 times smaller than the amoeba cell.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The length of a bacterial cell is about 4 x 10⁻⁶ m, and the length of an amoeba cell is about 2.5 x 10⁻⁴ m
Hence:
Ratio of Amoeba length to bacteria length = (2.5 x 10⁻⁴ m) / (4 x 10⁻⁶ m) = 62.5
The bacterial cell length is 62.5 times smaller than the amoeba cell.
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Answer:
the answer in scientific notation with the significant amount of digits is 6.25 x 10^2.
Step-by-step explanation:
you have to solve the equation and divide 0.00025 by 0.00004
you will get 6.25
and if you divide 2.5 by 4 you get 0.625 you have to move the decimal over to the right by 2 so you get the exponent of 2
The answer in scientific notation with the significant amount of digits is 6.25 x 10^2
Simplify each number. -(-27)⁻⁴/₃
The result of simplifying the expression -(-27)⁻⁴/₃ using the exponent rules is 1/81
To solve this exercise we have to resolve algebraic operations following the exponent rules.
-(-27)⁻⁴/₃ =
(27)⁻⁴/₃
As we have a negative exponent, you have to pass the exponent to the denominator:
1/(27)⁴/₃
As we have a fractional exponent, you must convert the exponent to root:
1/[tex]\sqrt[3]{}[/tex](27)⁴
1/[tex]\sqrt[3]{}[/tex](531441)
1/81
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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Which statement about the function y = −14x − 2 is true? A. As the value of x increases, the value of y increases. B. As the value of x decreases, the value of y stays the same. C. As the value of x increases, the value of y decreases. D. As the value of x decreases, the value of y decreases.
The statement about the function y = −14x − 2 that is true is that A. As the value of x increases, the value of y increases. B.
How to illustrate the information?It should be noted that the information is to get the dtatement about the function y = −14x − 2 that is true.
y = −14x − 2
Let's use x = 1
y = −14x − 2
y = -14(1) - 2 = -16
When x = 2, y = −14x − 2.
y = -14(2) - 2 = -40
It shows that as x increases, y will also increase.
Therefore, the correct option is A.
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1. 4 times the sum of x and 2
4(x+2)
hope this helps
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. what is the ratio of non-black sedans to black sedans? write your answer as a simplified fraction.
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. The ratio of non-black sedans to black sedans is
40 : 31
Define Ratio ?
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot.
what is the ratio of non-black sedans to black sedans
divide by 2 , both the terms
640 : 496
320 : 248
160 : 124
80 : 62
40 : 31
Hence , There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. Then the ratio of non-black sedans to black sedans is 40 : 31
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What is the answer to this: ( Image below) Pls help, thanks!
The perimeter of the polygon is 232 units
Perimeter of a polygonFrom the question, we are to determine the perimeter of the regular polygon
From the diagram,
One of the polygon's side length is (4/3)x - 1/3
and another side length is x + 7
Since the figure is a regular polygon, we can write that
(4/3)x - 1/3 = x + 7
Now, solve for x
(4/3)x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
4x - 3x = 21 + 1
x = 22
One of the polygon's side length is x + 7
∴ One side length = 22 + 7
One side length = 29
Since the polygon has 8 sides,
The perimeter of the polygon will be
8 × 29
= 232 units
Hence, the perimeter of the polygon is 232 units
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You get your hair cut at a shop that charges $30. They offer you a deal: If you prepay $150 for five haircuts, they'll give you a punch card that entitles you to a sixth haircut free. The punch cared expires in one year. Is this a good deal?
yes, it is a good deal as long as you use the card before a year.
Is this a good deal?Let's see how much you will save if you pay the $150.
If you want 6 hair cuts, you need to pay $30 6 times, so the total cost will be:
C = $30*6 = $180
If instead, you prepay $150, then you get the 6 cuts only for $150, saving a total of $30 (but the downpayment is 5 times larger than in the other case), but only if you plan to use the punch card for the other cut in the year, if you don't then this option does not make sense.
So, yes, it is a good deal as long as you use the card before a year.
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SportCo manufactures basketballs. The fixed expenses are $46,270 and the variable expenses are $6.50 per basketball produced. How many basketballs did they produce if their expenses total $87,870?
SportCo manufactured 6400 basketballs
SportCo manufacturers fixed expenses for producing basketballs = $46,270
Variable expense incurred per basketball produced = $6.50
Total expenses incurred by SportCo for producing basketballs= $87,870
Fixed costs are costs that remain constant regardless of whether more or fewer goods or services are produced or sold.
An expense for the company that varies according to how much is produced or sold is called a variable cost. Depending on a company's production or sales volume, variable costs grow or fall. They climb as production rises and reduce as production declines.
Let x be the number of basketballs produced by the manufacturer SportCo.
Formulating the equation we get:
Fixed cost + Variable cost*Number of basketballs produced = Total expenses incurred by the manufacturer
46270 + 6.5(x) = 87870
6.5(x) = 41600
x = 6400
Therefore, the number of basketballs produced is 6400 by the manufacturer.
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Please answer the question in the photo! ( will mark brainliest )
The required fill in the blanks is 110° and 360°.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
The figure shows that to find the angle.
According to given question we have
The first answer of the figure is 110°.
Obtuse angle is more than 90° and less than 180°.
The second answer of the figure is 360°.
A full angle, also called a complete angle, round angle, or perigon, is an angle equal to radians.
Therefore, the required fill in the blanks is 110° and 360°.
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Choose the reasonable product of each expression Explain your reasoning 3.14×7
Based on the product expression, the estimate of the product expression 3.14 x 7 is 22
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to evaluate the expression?The expression is given as
3.14 x 7
Rewrite 3.14 as a rational expression
So, we have
3.14 x 7 = 314/100 x 7
Evaluate the product of 314 and 7
So, we have
3.14 x 7 = 2198/100
Evaluate the quotient of 2198 and 100
So, we have
3.14 x 7 = 21.98
Approximate the above expression
So, we have
3.14 x 7 = 22
Hence, the estimate of the product expression 3.14 x 7 is 22
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A rectangular box with top WXYZ and base ABCD has AB=6 cm, BC=8 cm and WA=3 cm
Calculate:
a) the length of AC
b) the angle between WC and AC
The length of the AC is: 10cm
Rectangle length : since, a rectangle is a 2-D shape, it is characterized by two dimensions, length, and width. Length is the longer side of the rectangle and width is the shorter side.
So we have to find the length of AC in which AB=6cm and BC=8cm
Step by step explanation :
AC2= 6²+8²= 100
So AC= 10cm
The angle between WC and AC is 16.7°
Angle: .The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet
So we have to find the angle between WC and AC , so here is a step by step solution:
tan θ=3/10 θ= 16.7°
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if a magical coin doubles every day how much days would it take for the number of magical coins to exceed 50,000 ?
It would take 16 days for the number of magical coins to exceed 50,000.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of magical coins available after x days. this can be represented by:
y = 1(2)ˣ
To exceed 50000 coins:
50000 = 1(2)ˣ
x = 15.6
It would take 16 days for the number of magical coins to exceed 50,000.
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Solve each equation.
4^{3 x}=64
value of x in given exponential equation is = 1
What is exponential equation ?In, mathematics a exponential function or equation is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the logarithm function can be written as [tex]a^x[/tex] .
where, a is the base of function
x is the expression
Mathematically, if [tex]log_aN = x[/tex] is an logarithmic function then, this can be converted to exponential function as [tex]a^x = N[/tex].
There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.
Some important formulas of exponents :
[tex]a^x . a^y = a^{x+y}[/tex][tex]\frac{a^x}{a^y} = a^{x-y}[/tex][tex]a^x.b^x=(ab)^x[/tex][tex](a^x)^y = a^{xy}[/tex][tex]a^0 =1[/tex]According to given statement,
4^3x = 64
=> 4^3x = 4³
=> 3x = 3
=> x = 1
Thus solution for this equation is x =1.
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PLEASE HELP ME ASAP!!! THIS IS DUE IN A FEW MINUTES!!!!!!
Answer:
A
Step-by-step explanation:
we need to find what they equal so we put them as equations against each other
WILL GIVE BRAINLIST!
Describe and correct the error in solving the equation.
Answer:
Step-by-step explanation:
In order to cancel the coefficient of P you have to divide both sides by the coefficient not add the coefficient to both sides.
-2/3p = 4
-2/3p / -2/3 = 4 / -2/3 (Multiply both sides by -2/3 to isolate p)
p = 4 / 2/3 ([tex]\frac{4}{1} (-\frac{2}{3} ) = -\frac{8}{3}[/tex])(keep change reciprocate)
p = -8/3
Factor each expression.
4 x²+17 x+15
After solving, the factors of equation 4x²+17x+15 are:
(x+3) and (4x+5)What clearly is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value for the variable x as x = 7.So,
Given the equation: 4x²+17x+15
Then,
4x²+17x+154x²+x( + )+154x²+x(12+5)+154x²+12x+5x+154x(x+3)+5(x+3)Factors are: (x+3) and (4x+5)
Therefore, after solving, the factors of equation 4x²+17x+15 are:
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Please help I’m gonna cry
A school increases its intake by 10%. if it starts with 1000 students, how many will it have at the beginning of the fourth year of expansion?