Hello.
Here is the step-by-step
(32-5) + (3*4-2) ---> 27 + (3*4-2)
27 + (3*4-2) ---> 27 + (12-2)
27 + (12-2) ---> 27 + 10
27 + 10 ---> 37
You have to work inside the parenthesis, left to right, then solve.
The result of (32 - 5) + (3 * 4 - 2) is 37.
Begin by solving the operations inside each set of parentheses separately.
For the first parentheses:
32 - 5 = 27
For the second parentheses, calculate the multiplication first before the subtraction:
3 * 4 = 12
Then subtract 2:
12 - 2 = 10
Combine the results: Add the results of the two parentheses together:
27 + 10
Perform the addition:
27 + 10 = 37
The width of a rectangular park is 23.4 yards. What is the perimeter of the park if the length is 2.5 times larger than the width.
Answer:
163.8 yd
Step-by-step explanation:
The perimeter of a rectangle is twice the length added to twice the width.
The width is 23.4 yd.
The length is 2.5 times the width, so to find the length, we multiply the width by 2.5.
length = 2.5 * width = 2.5 * 23.4 yd = 58.5 yd
The length is 58.5 yd.
perimeter = 2 * length + 2 * width
perimeter = 2 * 58.5 yd + 2 * 23.4 yd
perimeter = 117 yd + 46.8 yd
perimeter = 163.8 yd
[tex]Hey![/tex]
-------------------------------------------------
[tex]\large\boxed{Perimeter~of~the~retangular~park~is~163.8~yards!}[/tex]
-------------------------------------------------
[tex]Steps To Solve:[/tex]
[tex]Find~the~length.[/tex]
[tex]23.4~*~2.5~=~58.5[/tex]
[tex]Find~the~perimeter.[/tex]
[tex]p~=~(length~*~2)~+~(width~*~2)[/tex]
[tex]p~=~(58.5~*~2)~+~(23.4~*~2)[/tex]
[tex]p~=~117~+~46.8[/tex]
[tex]p~=~163.8[/tex]
-------------------------------------------------
[tex]Hope~This~Helped!~Good~Luck![/tex]
write 32/10 as a whole or mixed number in simplest form
Step-by-step explanation:
To get the simplest form keep dividing until you can't anymore. So first I'll divide by 2 which equals 16/5 which can't be divided anymore because there is no common denominator.
What is the value of cos-1(-sqrt3/2)?
Answer:
The Correct Answer is C. 5pie/6
Step-by-step explanation:
Plato answer
The value of the inverse trigonometric function of the cosine function is [tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\frac{5\pi }{6}[/tex].
It is required to find the value of the inverse trigonometric function of the inverse cosine function:
[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )[/tex]
It is known that:
[tex]\text{cos}^{-1}(-x)=\pi -\text{cos}^{-1}(x)[/tex]
Here, [tex]x=-\frac{\sqrt{3} }{2}[/tex].
Substitute the value of x to the result.
[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\pi -\text{cos}^{-1}(\frac{\sqrt{3} }{2} )[/tex]
It is known that:
[tex]\text{cos}^(\frac{\pi }{6} )=\frac{\sqrt{3} }{2}[/tex]
So, [tex]\text{cos}^{-1}(\frac{\sqrt{3} }{2} )=\frac{\pi }{6}[/tex].
So, the value can be written as:
[tex]\text{cos}^{-1}(-\frac{\sqrt{3} }{2} )=\pi -\frac{\pi }{6}[/tex]
[tex]=\frac{6\pi -\pi }{6}[/tex]
[tex]=\frac{5\pi }{6}[/tex]
Hence, the value of the function is [tex]\frac{5\pi }{6}[/tex].
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es - At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay
and then for 3 hours at overtime pay for an extra $2.20 an hour. How much money did they earn in total?
$404.60
$418.90
$432.20
$452.80
Submit
The Number System
(MGSEZ NS3) Solve Problems with Rational Numbers
Answer:
[tex]\$452.80[/tex]
Step-by-step explanation:
we know that
To find out how much money did they earn in total sum the product of the hours at regular pay by $8.20 plus the product of the hours at overtime pay by ($8.20+$2.20), all multiplied by the number of employees
so
[tex][(10)(8.20)+(3)(2.20+8.20)](4)[/tex]
[tex][82+31.2](4)[/tex]
[tex][113.2](4)[/tex]
[tex]\$452.80[/tex]
Answer:
$ 452.80
Step-by-step explanation:
Given,
The regular payment per hour for each employee = $ 8.20,
∵ Number of regular hours = 10,
Thus, wages for each employee in regular hours = 10 × 8.20 = $ 82,
Also, the overtime charges per hour = 8.20 + 2.20 = $ 10.4,
∵ Number of overtime hours = 3,
Thus, the overtime charges for each employee = 3 × 10.4 = $ 31.2,
∴ Total earning of each employee = 82 + 31.2 = $ 113.2,
Now, number of employees = 4,
Hence, the total earning of all employees = 4 × 113.2 = $ 452.8
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS? StartRoot 10 EndRoot units 8 StartRoot 2 EndRoot + 2 StartRoot 10 EndRoot units 16 StartRoot 2 EndRoot units 8 StartRoot 2 EndRoot + 8 units
Answer:
The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex] ⇒
2nd answer
Step-by-step explanation:
* Lets revise some properties of the parallelogram
- Each two opposite sides are parallel
- Each two opposite sides are equal
- Its perimeter is the twice the sum of two adjacent sides
* Lets solve the problem
∵ PQRS is a parallelogram
∵ The length of side SR is [tex]4\sqrt{2}[/tex]
∵ The length of side QR is [tex]\sqrt{10}[/tex]
∵ SR and RQ are two adjacent sides
∵ The perimeter of parallelogram PQRS = 2(RQ + SR)
∴ The perimeter of parallelogram PQRS = [tex]2(\sqrt{10}+4\sqrt{2})[/tex]
∵ [tex]2*\sqrt{10}[/tex] = [tex]2\sqrt{10}[/tex]
∵ [tex]2*4\sqrt{2}[/tex] = [tex]8\sqrt{2}[/tex]
∴ The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex]
The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.
Given that,
On a coordinate plane, parallelogram PQRS,
There points are P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2),
Length of SR = [tex]4\sqrt{2}[/tex] and QR = [tex]\sqrt{10}[/tex].
We have to find,
The perimeter of parallelogram PQRS.
According to the question,
The properties of the parallelogram is each two opposite sides are parallel and each two opposite sides are equal.
Its perimeter is the twice the sum of two adjacent sides
Then, PQRS is a parallelogram,
SR and RQ are two adjacent sides,
The perimeter of parallelogram PQRS = 2(RQ + SR)
The perimeter of parallelogram PQRS = [tex]2 ( 4\sqrt{2} + \sqrt{10} )[/tex]
The, The perimeter of parallelogram PQRS = [tex]8\sqrt{2} + 2\sqrt{10}[/tex].
Hence, The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.
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Fourteen is 20% of
please help me in need
Answer:
14 / .20 = x
.20 x = 14
x = 14 / .20
x = 70
DOUBLE - CHECK
20 % of 70 = .20 * 70 = 14
Step-by-step explanation:
What is the answer to this?
Answer:photo math
Step-by-step explanation:
Help me out. Can you figure this one out?
Answer:
x = 62
Step-by-step explanation:
Given that 2 sides of the triangle are congruent ( both 6 ), then the triangle is isosceles and the 2 base angles are congruent, thus
x = 0.5( 180 - 56)° = 0,5 × 124° = 62°
Calculating Profit Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three bikes: $ Four bikes: $ Five bikes: $ Six bikes: $ Seven bikes: $
Answer:
One bike: -$
30
Two bikes: $
3
Three bikes: $
40
Four bikes: $
70
Five bikes: $
90
Six bikes: $
90
Seven bikes: $
80
Step-by-step explanation:
trust me:)
The profit gotten at each level of production of the bicycles are respectively; -$30, $3, $40, $70, $90, $90, $80
How to Calculate Profit from production
From the attached table, we see three columns showing respectively;
Column 1; Units of bicycles produced per day
Column 2; Total Cost of the Units of bicycles produced per day
Column 3; Total revenue from the sale of the units of bicycles produced per day.
Now, to find the profit we will just subtract the cost of producing the given number of units from the total revenue from the sale of that specific unit produced.
For the level of 1 bicycle produced; Profit = $50 - $80 = -$30
For the level of 2 bicycles produced; Profit = $100 - $97 = $3
For the level of 3 bicycles produced; Profit = $150 - $110 = $40
For the level of 4 bicycles produced; Profit = $200 - $130 = $70
For the level of 5 bicycles produced; Profit = $250 - $160 = $90
For the level of 6 bicycles produced; Profit = $300 - $210 = $90
For the level of 7 bicycles produced; Profit = $350 - $270 = $80
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200 – 4 to the second power + 9 • 10
Answer:
1,930 is the answer. Why?
Step-by-step explanation:
200-4^2
200-16= 184
184+9=193
193 times 10= 1,930
Two minor league baseball players got a total of 390 hits. Washington had 16 more hits than Sanchez. Find the number of hits for each player.
Washington had
hits. Sanchez had
hits.
Answer:
Sanchez had 179 hits, while Washington had 211 hits. Hope this helps!
Final answer:
To solve the problem, we set up two equations: W = S + 16 and W + S = 390. By substituting the first equation into the second, we found that Sanchez had 187 hits, and Washington had 203 hits.
Explanation:
The question involves determining the number of hits for each player given the total number of hits and the difference in hits between the two players. We can set up a system of equations to solve for the number of hits for each player. Let's denote the number of hits by Washington as W and the number of hits by Sanchez as S.
According to the problem, we have two relationships:
Washington had 16 more hits than Sanchez: W = S + 16
The total number of hits is 390: W + S = 390
We can substitute the first equation into the second to solve for S.
S + (S + 16) = 390
S + S = 390 - 16
2S = 374
S = 374 / 2
S = 187
Now we plug the value of S back into the first equation to solve for W:
W = 187 + 16
W = 203
Therefore, Washington had 203 hits and Sanchez had 187 hits.
what could these numbers be?
Answer:
A could be 50
e could be 120
d/o could be 150
e could be 180
Use the graph to find the coordinates of each vertex in triangle ABC. is the coordinate of Point A. is the coordinate of Point B. is the coordinate of Point C.
Answer:
Point A-
(-2, 3)
Point B- (2, 4)
Point C- (0, -1)
Correct answers from edge 2022 :)
(-2, 3)
(2, 4)
(0, -1)
Consider the following system of equations.
y=6x^2+1
y=x^2+4
Which statement describes why the system has two solutions?
Each graph has one y-intercept, which is a solution.
Each graph has one vertex, which is a solution.
The graphs of the equations intersect the x-axis at two places.
The graphs of the equations intersect each other at two places.
D.) "The graphs of the equations intersect each other at two places."
I need these now please:
14y-5(3-2y)
7(y+3)-2y
-4(x+6)+2(x-2)
6x-3x+1-5x+2
14x-5(-2x+3)
3(x-y+5)
Answer:
1. 14y-5(3-2y)
14y-15+10y
Ans = 24y-15
2. 7(y+3)-2y
7y+21-2y
Ans = 5y+21
3. -4(x+6)+2(x-2)
-4x-24+2x-4
Ans = -2x-28
4. 6x-3x+1-5x+2
Ans = -2x+3
5. 14x-5(-2x+3)
14x+10x-15
Ans = 24x-15
6. 3(x-y+5)
Ans = 3x-3y+15
Step-by-step explanation:
You have to first multiply the number outside the parantheses to the number(s) inside the parantheses.
Then, you have to combine all the like terms.
And then there's your answer !!!
GOOD LUCK !!!
Laura is selling raffle tickets. for every 4 tickets, she charge $28
Answer:
$7.oo for one ticket
Step-by-step explanation:
if Laura is selling 4 tickets for $28 then you would divide 28 by 4 and that's your answer.
many trees have concentric rings that can be counted to determine the trees age. each ring represents one years growth. a maple tree with a diameter of 12 inches has 32 rings. if the tree continues to grow at about the same rate, how many rings will the tree have when its diameter is 20 inches?
Answer:
adout 53 Years old
Step-by-step explanation:
2. = 6=12=32. 32/2= 16
5.3=16=32= 16/3=5.333...
5.3x10=S3.3
so adout 53 Years old
Based on the tree's current growth rate of 2.67 rings per inch, if it continued to grow at the same rate, a maple tree with a diameter of 20 inches would have around 53 rings.
Explanation:The tree's growth can be understood as the relation between its diameter and the number of its concentric rings. In this case, we know that a maple tree with a diameter of 12 inches has 32 rings. This means that the tree grows approximately 2.67 rings per inch (32 rings / 12 inches = 2.67 rings per inch). So, assuming the tree continues to grow at the same rate, when the tree's diameter is 20 inches, it should have around 53 rings (20 inches * 2.67 rings per inch =~ 53 rings).
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For algebra 1
5x + 4x - 8 = 28
5x+4x-8=28
9x-8=28
Move -8 to the other side
Sign changes from -8 to +8
9x-8+8=28+8
9x=28+8
9x=36
Divide both sides by 9 to get x by itself
9x/9=36/9
Answer: x=4
11. Is the fraction 1/3 equivalent to a terminating
decimal or a decimal that does not terminate?
Answer:
It is equivalent to a decimal that does not terminate.
Step-by-step explanation:
When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.
WILL MARK BRAINLIEST!!!
The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V and five-sevenths represent?
the radius of the rubber ball when the volume equals five-sevenths cubic feet
the volume of the rubber ball when the radius equals five-sevenths feet
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
Answer: v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that
Step-by-step explanation:
Given: The volume of air inside a rubber ball with radius r can be found using the function.
Here volume is a dependent variable on radius (independent variable).
Therefore, the value of v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units.
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Answer:
we know that
The volume of a sphere (rubber ball) is equal to
V = 4/3pi r^3
where r is the radius of the sphere (rubber ball)
The volume in function notation is equal to
V(r) = pi r^3
in this problem we have
V(5/7)
that means
The radius of the rubber ball is 5/7 ft and the volume of the rubber ball is V(5/7) ft^3
therefore, the answer is the option B
the volume of the rubber ball when the radius equals 5/7 feet
Question:
15 5/12 - 11 1/8
A. 4 7/28
B. 4 7/12
C. -4 1/3
D. -4 7/24
how to convert 11 1/6 into a decimal
Answer:
11.167
Step-by-step explanation:
11 [tex]\frac{1}{6}[/tex] = 11 + ( 1 ÷ 6 )
1) Multiplying by 1/2 has the same results as?
2) Multiplying by 1/3 has the same results as?
3) Multiplying by 1/4 has the same results as?
4) Multiplying by 1/c has the same results as?
Multiplying by a fraction is the same as dividing by its reciprocal
1) Multiplying by 1/2 is the same as dividing by 2
2) Multiplying by 1/3 is the same as dividing by 3
3) Multiplying by 1/4 is the same as dividing by 4
4) Multiplying by 1/c is the same as dividing by c
7.21 repeating as a fraction
Answer: 721/100 is 7.21 as a simplified fraction.
Answer:
7.21 as a numerator and put 1 as a denominator now you multiply numerator and denominator by 10 as long as get in numerator the whole number 7.21=7.21 /1=7.21/10=7.21/100 and finally we have 7.21 as a fraction equals 7.21/100
Step-by-step explanation:
what is the ratio equivalent to 5:9
Answer:
The answer is 10:18 because 5x2=10 and 9x2=18
Step-by-step explanation:
the volume of a cylinder is about 1632 in. the height of the cylinder is 24 in. what is the area of the base?
Answer:
68 square inches
Step-by-step explanation:
Volume = Area × height
1632 = A × 24
A = 1632/24
= 68 inches squared
The area of the base of the cylinder is 68 inches².
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
Volume = 1632 inches
Height = 24 inches
Volume = 1632
πr²h = 1632
πr² = 1632 / 24 = 68
Area of the base.
= πr²
= 68 inches²
Thus,
The area of the base is 68 inches².
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If the expression x-3 has a value of -5,then which of the following represents the value of 3x-9
Answer:
-15
Step-by-step explanation:
Italics by itself are comments, italics and underlines are helpful rules, bold highlights little facts.
x-3=-5 : since the expression 'x-3' is being assigned the value '-5'
We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.
(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa).
To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition (in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation). By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once (well not in this equation).
x=-5+3 which is equal to -2.
Hence, x=-2
Now that we know what 'x' is we can work on the other expression: 3x-9
Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.
3(-2)-9=?
(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number).
Therefore, 3×(-2) will equal -6.
-6-9=-15
Hence, 3x-9=-15.
To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.
Here's how that looks: 3x-9 (+9)= -15 (+9).
You would then be left with 3x=-6.
If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:
3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)
(An asterisk can also symbolise multiplication).
Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.
-6 divided by 3 is equal to -2 (a positive divided by a negative will always be negative and vice versa).
Hence, x=-2.
The value of the expression 3x - 9 will be - 15 if x - 3 is -5.
What is a numerical expression ?A numerical expression is in the form of numbers and their operations.
According to the given question the expression x-3 has a value of -5.
We have to determine the value of 3x - 9.
Let us solve for x in the equation
x - 3 = -5.
x = -5 + 3.
x = -2.
Putting this value of x in 3x - 9 would result in
3(-2) - 9
= -6 -9
= -15.
This can also be done in a different approach
x - 3 = - 5.
3x - 9 will be if we observe the equation has been multiplied by 3
3x - 9.
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Jaclyn used the slope formula to find the slope of the line in which step did Jaclyn make an error?
through the points given in the table.
In step 1, she switched the x and y values in point
2
In step 2, she used the wrong formula for slope
In step 3, she simplified the slope incorrectly
Jaclyn did not make an error
1. Point 1: (0,4); Point 2: (-3,0)
2. Slope V2 -6 - 4
3. Slope = 3
Answer:
Jaclyn did not make an error
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex](0,4)\ B(-3,0)[/tex]
Substitute the values
[tex]m=\frac{0-4}{-3-0}[/tex]
[tex]m=\frac{-4}{-3}[/tex]
[tex]m=\frac{4}{3}[/tex]
therefore
Jaclyn did not make an error
Answer:
Jaclyn did not make error
Step-by-step explanation:
Step 1: He has taken two points from the given table.
(0, 4) and (-3, 0)
Step 2: Slope formula = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step 3: Now plug in [tex]x_1 = 0, y_1 = 4, x_2 = -3 and y_2 = 0[/tex] in the above formula.
Slope = [tex]\frac{0 -4}{-3 - 0}[/tex]
Slope = [tex]\frac{-4}{-3} = \frac{4}{3}[/tex]
When we divide two negative numbers, the result will be in positive.
So, Jaclyn didn't make a single error.
Veronique found the difference of a number and 8. Which expression models the situation? QUICK! 10 PTS A. n-8 B. 8/n C. n/8 D. 8-n
Answer:
Option A n-8
Step-by-step explanation:
Let
n ----> the number
we know that
The algebraic expression for the phase"the difference of a number and 8" is equal to subtract 8 from the number n or is equal to the number n minus 8
so
n-8
Answer:
a
Step-by-step explanation:
Please answer this correctly
The answer would be Josh.