Answer:
$11.20 per hour
Explanation:
x = dollars per hour
75x = 840
x = 11.20
At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $10 off. Which expression represents the total cost for Mr. Thompson to rent a kayak for k hours and a paddle board for p hours..
Answer: its 18k+22p-10!
Step-by-step explanation:
I did the test got it correct, PLS MARK BRAINLIST
Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $[tex]10[/tex] off.
So,the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].
Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].
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Match each justification to its corresponding step in the following solution. (Table shown above)
Identity Property of addition
Addition Property of equality
Given
Identity property of multiplication
A. 1: c (Given)
2: b (addition property of equality)
3: c (Given)
4: a (identity property of addition)
B. 1: a (identity property of addition)
2: b (addition property of equality)
3: d (identity property of multiplication)
4: c (Given)
C. 1: c (given)
2: a (Identity property of addition)
3: b (Addition property of equality)
4: d (Identity property of multiplication)
D. 1: c (Given)
2: b (Addition property of equality)
3: a (Identity property of addition)
4: d (Identity property of multiplication)
Answer:
D
Step-by-step explanation:
Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices
y is independent and x is dependent
x is independent and y is dependent
both x and y are independent
both x and y are dependent
Answer:
A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.
Write the expression in expanded form (1 + 3b)(6)
Answer:
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Identity:
An identity is an equality which is true for all values of a variable in the equality.
(a + b)³ = a³+ b³+ 3ab(a + b)
In an identity the right hand side expression is called expanded form of the left hand side expression.
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Solution:
(i) (2x + 1)³
Using identity
(a + b)³ = a³+ b³+ 3ab(a + b)
(2x + 1)³
= (2x)³ + 1³ + (3×2x×1)(2x + 1)
= 8x³+ 1 + 6x(2x + 1)
= 8x³ + 1 + 12x² + 6x
(ii) (2a – 3b)³
Using identity,
(a – b)³ = a³–b³ – 3ab(a – b)
(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)
=8a³–27b³–18ab(2a –3b)
= 8a³–27b³–36a²b + 54ab²
(iii) [3x/2 + 1]³
Using identity,
(a + b)³ = a³+ b³+ 3ab(a + b)
[3x/2 +1]³
=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)
=27x³/8+1+9/2x×(3x/2+1)
= 27x³/8 + 1 + 27/4 x² + 9/2x
= (27/8)x³ + (27/4) x² + 9/2 x + 1
(iv) [x–2/3 y]³
Using identity,
(a - b)³=a³-b³-3ab(a-b)
(X+ 2/3y)³
= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)
= x³– 8y³/27–2xy(x – 2/3 y)
= x³– (8/27)y³–2x²y+ 4/3xy²
=========================================================
Hope this will help you....
Step-by-step explanation:
what are the values of AB and DE in parallelogram ABCD?
Answer:
AB equals 13 and DE equals 7.
Step-by-step explanation:
In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.
The solution is
The value of AB of the parallelogram is 13
The value of DE of the parallelogram is 7
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
The value of side CD = 13
The value of side BC = 23
The value of side AE = 16
AD = AE + ED
And , Opposite sides are parallel in a parallelogram
Now , the value of side AB = CD
So , the value of side AB = 13
And , The value of side BC = AD
So , the value of AD = 23
AD = AE + ED
Substituting the values in the equation , we get
23 = 16 + DE
Subtracting 16 on both sides of the equation , we get
DE = 23 - 16
The value of side DE = 7
Hence , the value of side AB = 13 and value of side DE = 7
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NOTE: Angles not necessarily drawn to scale.
Answer:
x = 40°
Step-by-step explanation:
angle A is a vertical angle with 60 so it's 60
60+80 = 140
180-140 = 40
Answer:
[tex]\boxed{\tt x=40^{\circ}}[/tex]
Step-by-step explanation:
∠x, ∠BAC, and ∠CAF form a straight line.
*Sum of angles that are formed on a straight line is equal to 180°.*
[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]
[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]
Add, 80°+60°=140°
[tex]\tt x+140^{\circ}=180^{\circ}[/tex]
Subtract 140 from both sides:
[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]
[tex]\tt x=40^{\circ}[/tex]
_____________________________
if a function f(x)=x^3 has the domain {-3,0,2,4} what is it's range
Step-by-step explanation:
Range is y-values
= {-27,0,8,64}
-2+4x+5-6x=-x+3,2-2x+1
Answer:
x=30
Step-by-step explanation:
i just wrote it down and here the photo of the steps
ax-by/c =d solve for x
Which terms can be combined in the expression below? Select three options.
PLEASE HELP 50 POINTS
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
This doesnt make sense
Step-by-step explanation:
6 1/4 - 2 3/4 = ?
please help lol
Answer:
3 1/2
Step-by-step explanation:
Rewriting our equation with parts separated
=6+1/4−2−3/4=6+1/4−2−3/4
Solving the whole number parts
6−2=4/6−2=4
Solving the fraction parts
1/4−3/4=−2/4 1/4−3/4=−2/4
Reducing the fraction part, 2/4,
−2/4=−1/2−2/4=−1/2
Combining the whole and fraction parts
4−1/2=3 1/2
Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius put the titles on the enitre roof in 4 hours if he continues to work at the same rate?
Answer:
No.
Step-by-step explanation:
It is given that Darius is putting tiles on the roof of his house.
Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work
He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work
The remaining work = [tex]$1 -\frac{4}{5}$[/tex]
[tex]$=\frac{5-4}{5}$[/tex]
[tex]$=\frac{1}{5}$[/tex]
∴ Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours
So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours
[tex]$=\frac{10}{12}$[/tex] hours
Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours
[tex]$=\frac{40+10}{12}$[/tex] hours
[tex]$=\frac{50}{12}$[/tex] hours
[tex]$=4\frac{2}{12}$[/tex] hours
[tex]$=4\frac{1}{6}$[/tex] hours
Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.
Can anyone please help me this these questions:
1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars
Answer:
1.
[tex]25\%[/tex]
2.
[tex].04\%[/tex]
3.
[tex]100\%[/tex]
Answer:
1 is 25% because .50 going into 2 00 4 times or 35%
2 is 10% because 02. is 10% of 2.00
4 is 100% because its all of the 2.00
Is (1,5) a solution of the graphed system of inequalities?
Answer:it’s No
Step-by-step explanation:
I got it right
the sum of the number and 5 is 12
Answer:7
Step-by-step explanation: x+5=12 solve for x = 7
Answer:
"a number" = 7
Step-by-step explanation:
let "a number" = x.
x + 5 = 12
Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides.
x + 5 (-5) = 12 (-5)
x = 12 - 5
x = 7
7 is your answer.
~
help...........................
Answer:
Could you please repeat the question?
Answer:
Answer:
Step-by-step explanation:
What help!
Thanks for free points!
Have a nice day!
2 to the power of 6 times 9x if x=12
Answer:
[tex]6 {}^{2} = 36 [/tex]
[tex]x = 12[/tex]
[tex]9 \times 12 = 108[/tex]
[tex]108 \times 36 = 3888[/tex]
Please help with ALEKS >-< ..................................
Answer:
4.5
Step-by-step explanation:
From the file, we see that;
Horizontal distance from bottom of ladder to side of house = 2
Length of ladder leaning against side of the house = 4 m.
Now we want to find the distance from the top of the ladder to the ground which we can call d.
Thus we can find it from pythagoras theorem.
d = √(2² + 4²)
d = √(4 + 16)
d = √20
d = 4.47
To the nearest tenth gives;
d = 4.5
Someone please explain how to get the answers
Answer:
[tex] m\angle A =40\degree [/tex]
[tex] m\angle D =40\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]
[tex] m\angle A =40\degree [/tex]
[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]
[tex] m\angle D =40\degree [/tex]
What is an equation of the line that passes through the points (4,-4) and (-4,-4)
Answer:
Step-by-step explanation:
Use the formula x-x1/x1-x2 = y-y1/y1-y2
f(x) = 5x-3
slove this its is Evaluate functions
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
What is the least common multiple of 8, 7, and 2?
Answer:
1 i know its one hope it help
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 2 shows:
2 is prime => 21
Prime Factorization of 7 shows:
7 is prime => 71
Prime Factorization of 8 is:
2 x 2 x 2 => 23
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 7 = 56
In exponential form:
LCM = 2^3 x 7^1 = 56
LCM = 56
Therefore,
LCM(2, 7, 8) = 56
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?
Answer:
4 grams
Step-by-step explanation:
Find how many grams of sugar are in each mixture:
10(0.15)
= 1.5
25(0.1)
= 2.5
Add these together:
1.5 + 2.5 = 4
So, the mixture contains 4 grams of sugar
please help me I will mark your brainiest !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The right answer is D, "n" can be any value greater than 2
Step-by-step explanation:
If variable "n" was any value less than or equal to 2, then the inequality would be less than or equal to 16, which isn't valid. So "n" has to be any value greater than 2.
How many more people like to swim than hike?
Show how you added or subtracted to find the answer
The number of people who likes to swim than hike is given by the equation A = 2 people
What is an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It demonstrates that the expressions on the left and right sides are connected in the same way.
An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of people who likes to swim be s= 4 people
Let the number of people who likes to hike be h = 2 people
Let the number of people who likes to bike be b = 3 people
Now , the equation will be
The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike
The number of people who likes to swim than hike A = s - h
The number of people who likes to swim than hike A = 4 - 2
The number of people who likes to swim than hike A = 2 people
Hence , the number of people who likes to swim than hike is A = 2 people
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The government estimates 840,000 for equipment, 15,000 for software, and 40,000 per month for wages when the project will take 16 months.
Answer:
the total cost is $1,495,000
Step-by-step explanation:
The computation of the total cost is shown below:
Let us assume the months be m
Now the equation would be
= Equipment + software + wages
= $840,000 + $15,000 + 40,000m
= $840,000 + $15,000 + $40,000 (16)
= $840,000 + $15,000 + $640,000
= $1,495,000
Hence, the total cost is $1,495,000
Which expression is equivalent to 3 (x – 9) + 6?
A. 3x - 3
B. 3x - 21
C. 15 - 3x
D. 33 - 3x
E
C
5
4
9
B
D
C
Solve for x
Que se debe hacer es una pregunta???
HELP please can you answer this please
Answer:
1. 2x² - 8x - 7
2. x³+ x + 30
Step-by-step explanation:
[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]
[tex]2 {x}^{2} - 8x - 7[/tex]
2x² has no other like terms to add or substract with so it stays as is.
(-9x) + x = -8
(-2) - 5 = -7
or
(-2) - (-5) = 3
Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.
//
[tex] {x}^{3} + 27 + x + 3[/tex]
[tex] {x}^{3} + x + 30[/tex]
x³ stays as is and so does x.
27 + 3 = 30
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2150. What was the rate charged per hour by each mechanic if the sum of the two rates was $145 per hour?
Answer:
Step-by-step explanation: 20x+15(160-x)=2625
20x+2400-15x=2625
5x=225
x=45
160-x=115
rate of first mechanic= $45/hr
rate of second mechanic=$115/hr