Answer:
Step-by-step explanation:
The base number is 13 dollars since you must pay it before adding hourly expenses.
Every hour, you have to pay 5.50.
So, the total cost would equal:
29.50 - (13 + 5.5h) < 29.50
Think: you have 29.50. you must pay 13 dollars before using it. it costs 5.50 for each hour. your money must be less than your total.
Hope this helped :)
Dewie Lifftum, Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground and the length of the ramp from the truck to the ground is 13 feet long what is the distance along the ground from the truck to the end of the ramp?
Answer:
the answer is 65
Step-by-step explanation:
13x5=65
12 feet is the distance along the ground from the truck to the end of the ramp.
What is Pythagorean Theorem?
For a right-angled triangle
(base)²+(height)²=(hypotenuse)².
How to solve the problem?The ramp makes a right-angled triangle with the truck and the ground refer to the supported diagram.
Let x be the distance along the ground from the truck to the end of the ramp. Then
x²+5²=13²
⇒x²=13²-5²
⇒x²=169-25=144=12²
Hence, 12 feet is the distance along the ground from the truck to the end of the ramp.
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A tile measures 10 ×cm. How many such tiles are required to cover a wall of 4 m ×2.5m
Answer:
los CM a m = entre 100
Step-by-step explanation:
___________________
On Saturday, Querida gave away 416 coupons for a free appetizer at a local restaurant. The next day, she gave away about 52 coupons an hour. Is the number of coupons Querida gave away in Sunday proportional to the number of hours she worked that day? Hours worked on Sunday 1 -2 -3 4 coupons given away on Sunday.
Answer:
The number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.
Step-by-step explanation:
It is provided that on Sunday Querida gave away about 52 coupons an hour.
Compute the number of coupons given away for different hours as follows:
Number of hours : 1 2 3 4
Number of Coupons : 52 104 156 208
Compute the number of coupons given away per hour provided that Querida worked 2 hours, 3 hours and 4 hours on Sunday as follows:
[tex]\text{Number of coupons given away per hour}=\frac{104}{2}=52\ \text{coupon/hour}[/tex]
[tex]\text{Number of coupons given away per hour}=\frac{156}{3}=52\ \text{coupon/hour}[/tex]
[tex]\text{Number of coupons given away per hour}=\frac{208}{4}=52\ \text{coupon/hour}[/tex]
Thus, the number of coupons Querida gave away in Sunday is proportional to the number of hours she worked that day.
solve for h h+6/5=3
Answer:
h+6/5=3
We move all terms to the left:
h+6/5-(3)=0
determiningTheFunctionDomain
h-3+6/5=0
We multiply all the terms by the denominator
h*5+6-3*5=0
We add all the numbers together, and all the variables
h*5-9=0
Wy multiply elements
5h-9=0
We move all terms containing h to the left, all other terms to the right
5h=9
h=9/5
h=1+4/5
Step-by-step explanation:
b/3 + 1/7=13 can someone tell me what b is , thanks :))
5x+ 4y = -20
5x + 12y = -10
HELPPPPPP
Answer:
We are to find x and y in this equation.
5x+4y= -20.
- 5x+12y= -10.
which is y=5/4 or 1.25.
then substitute y=1.25 into eqtn I.
5x+4(1.25)=-20.
5x+5= -20.
5x=-20-5.
5x= -25.
x= -5.
How dose the product of 40x30 compare to the product of 20x324
What is the difference between a rectangle and a cube? A rectangle is a 3-dimensional and a cube is a 2-dimensional. A rectangle and a cube are both 2-dimensional. A rectangle is a 2-dimensional and a cube is a 3-dimensional A rectangle and a cube are both 3-dimensional.
Answer: A rectangle is a 2-dimensional and a cube is a 3-dimensional
Step-by-step explanation:
Simplify :
Stepwise answer!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{x - 2} + \frac{1}{x - 3} - \frac{2}{ x + 2} - \frac{1}{ x + 3}}[/tex]
⇒[tex]\sf{ \frac{2(x - 3)(x + 3)(x + 2) + (x - 2)(x + 2)(x + 3) - 2(x - 2)(x - 3)(x + 3) - (x - 2)(x + 2)(x - 3)}{(x - 2)(x - 3)(x + 2)(x + 3)}} [/tex]
Use the formula : a² - b² = ( a + b ) ( a - b )
⇒[tex] \sf{ \frac{2( {x}^{2} - 9)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3) }{( {x}^{2} - 4)( {x}^{2} - 9)}} [/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{ \frac{(2 {x}^{2} - 18)(x + 2) + ( {x}^{2} - 4)(x + 3) - (2x - 4)( {x}^{2} - 9) - ( {x}^{2} - 4)(x - 3)}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Multiply the algebraic expressions
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - (2 {x}^{3} - 18x - 4 {x}^{2} + 36) - ( {x}^{3} - 3 {x}^{2} - 4x + 12) } {( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
When there is a ( - ) in front of an expression, change the sign of each term in the expression
⇒[tex] \sf{ \frac{2 {x}^{3} + 4 {x}^{2} - 18x - 36 + {x}^{3} + 3 {x}^{2} - 4x - 12 - 2 {x}^{3} + 18x + 4 {x}^{2} - 36 - {x}^{3} + 3 {x}^{2} + 4x - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
Since two opposites add up to zero, it would be better to remove them from the expression
⇒[tex] \sf{ \frac{4 {x}^{2} - 36 + 3 {x}^{2} - 12 + 4 {x}^{2} - 36 + 3 {x}^{2} - 12}{( {x}^{2} - 4)( {x}^{2} - 9)} }[/tex]
collect like terms and simplify
⇒[tex] \sf{ \frac{14 {x}^{2} - 48 - 36 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 84 - 12}{( {x}^{2} - 4)( {x}^{2} - 9) } }[/tex]
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ ({x}^{2} - 4)( {x}^{2} - 9)} } [/tex]
Multiply : ( x² - 4 ) and ( x² - 9 )
⇒[tex] \sf{ \frac{14 {x}^{2} - 96}{ {x}^{4} - 13 {x}^{2} + 36}} [/tex]
Hope I helped!
Best regards! :D
PLEASE HELP 15 POINTS! Which of the following can be used to rewrite the expression (3)(2+c)? There are two correct answers. A) Commutative Property of Multiplication B) Associative Property of Addition C) Associative Property of Multiplication D) Commutative Property of Addition
Answer:
A and D
Step-by-step explanation:
You can switch the orders of the two groups so that it is (2+c)(3) and you can switch the orders of 2 and c and neither would change the answer.
12 to the 16th power over 12 to the 4th power simplified.
Answer:
[tex]12^{12}[/tex]
Step-by-step explanation:
Using exponent rules, we know that:
[tex]x^a \div x^b = x^{a-b}[/tex].
Since we are dividing [tex]12^{16}[/tex] by [tex]12^4[/tex], then simplified, this totals out to [tex]12^{16-4}[/tex] or [tex]12^{12}[/tex].
Hope this helped!
Answer:
[tex]12^{12}[/tex]
Step-by-step explanation:
[tex]\frac{12^{16}}{12^4}\\\\\frac{a^b}{a^c}=a^{b-c}\\\\\frac{12^{16}}{12^4}=12^{16-4}=\boxed{12^{12}}[/tex]
Hope this helps.
In ΔABC, a = 300 inches, ∠B=45° and ∠C=41°. Find the length of c, to the nearest 10th of an inch.
Answer:
197.3
Step-by-step explanation:
please help me on these!!
40 points
Answer:
8: when they added -4x and 8x they didn't carry the negative
9: You add -18x and 5x -13x - 12 = 1
If f(x) = x2 + 1 and g(x) = 2x - 5 Find: g(f(3))
Answer:
15
Step-by-step explanation:
f(x) = x^2 + 1
g(x) = 2x - 5
Find: g(f(3))
First find f(3) = 3^2 +1 = 9+1 = 10
The find g(10) = 2*10 -5 = 20-5 =15
Solve & Justify 3(5x + 1) = 18x
Answer:
x=1
Step-by-step explanation:
First you distribute the 3 to 5x and 1 to get 15x+3=18x
Then you subtract 15x from 18x and get 3x
Lastly you divide 3 by 3 to separate the 3 and x and get x=1.
Answer:
x=30
Step-by-step explanation:
3
Simplify —
5
3
(— • x) - 18 = 0
5
STEP
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
18 18 • 5
18 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3x - (18 • 5) 3x - 90
————————————— = ———————
5 5
Pull out like factors :
3x - 90 = 3 • (x - 30)
3 • (x - 30)
———————————— = 0
5
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(x-30)
———————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (x-30) = 0
Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : x-30 = 0
Add 30 to both sides of the equation :
x = 30
One solution was found :
x = 30
what is the first integer to the right of 0 on the number line
Answer:
1
Step-by-step explanation:
Numbers to the "right of 0" implies the positive numbers. And an integer has no fractional component. Thus, the first integer to the right of 0 would be 1.
Cheers.
Simplify the expression c^-6d^4/c^-16d^14
Answer:
c^10 d^18
Step-by-step explanation:
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking. 2. What is the value of side B? Explain your thinking. 3. What is the value of side c? Explain your thinking. 4. What is the area of the vegetable garden? Show your thinking
Answer:
Step-by-step explanation:
1) A = x
Flower garden is in rectangular shape. In rectangle, opposite sides are equal.
2) The entire garden is in rectangular shape. In rectangle, opposite sides are equal.
B + x+ 4 = 10x + 6
Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change
B = 10x + 6 - x - 4
B = 10x - x + 6 - 4 {Combine like terms}
B = 9x + 2
3) C + x -2 = 5x -3
C = 5x - 3 - x +2
C = 5x -x - 3 + 2
C = 4x - 1
4) Area of Vegetable garden = length * width
= (5x - 3) * (9x + 2)
Use FOIL method
= 5x *9x + 5x*2 + (-3)*9x + (-3)*2
= 45x² + 10x - 27x - 6
= 45x² - 17x - 6
What is the square root of 25⁄4
Answer:
Exact Form:
5/2
Decimal Form:
2.5
Mixed Number Form:
21/2
Solve the equation: 11x - 3 = 5x + 11
Answer:
Hey there!
11x-3=5x+11
6x-3=11
6x=14
x=7/3
Let me know if this helps :)
Answer:
[tex]\boxed{ 2 \frac{1}{3} }[/tex]
Step-by-step explanation:
Hey there!
Given,
11x - 3 = 5x + 11
Single out x
11x - 3 = 5x + 11
11x = 5x + 14
6x = 14
x = 2 1/3
Hope this helps :)
Factor z^2 – 81
z^2-81=
Answer:
(z-9)(z+9)
Step-by-step explanation:
z²-81
(z-9)(z+9)
In a communist command economy workers are employed by
the agencies
the consumers
the producers
the state
Answer
D) the state
I took on Test:))))))
In a communist command economy, workers are employed by the state. Hence, option D is correct.
What is communist command economy?A command system, usually referred to as communism, is an economic system in which the government controls the majority of the factors of production, decides how resources will be distributed, and determines what goods and services will be offered. Karl Marx and Frederick Engels were the principal architects of communist theory.
A communist political system includes a command economy, whereas capitalist countries have a free market. A command economy might take the form of socialism or communism. In all three, the government is in charge of the nation's enterprises, resources, and economic activities.
Thus, option D is correct.
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Ralph plans to sell a piece of property for 150,000. Is short-term note and 11% interest and long-term note for 9% interest. Find the amount of each note if the total annual paid it is 15,200
Answer:
Step-by-step explanation:
Short term 166,500 (150000x.11 then add that answer to 150000)
Long term 163,500
PLEASE HELP I AM GIVING MORE POINTS THAN I SHOULD PLEASE HELP
Write the equation of the parabola in vertex form. vertex (4,1), point (3,-1)
Write and solve an equation to find the number n.
The sum of twice a number and half the number is 10.
Equation:
= 10
The number is n =
32
Answer:
The number is 4
Step-by-step explanation:
Let the number be n
Twice the number : 2*n = 2n
Half the number : 1/2 n
[tex]2n+ \frac{n}{2}=10\\\\\frac{2n*2}{2}+\frac{n}{2}=10\\\\\frac{4n}{2}+\frac{n}{2}=10\\\\\frac{5n}{2}=10\\\\5n=10*2\\\\5n=20\\\\n=\frac{20}{5}\\\\[/tex]
n = 4
The temperature dropped 4°F one hour later. What is the current
temperature if the temperature was 8°F one hour ago?
Answer: 4°F
Step-by-step explanation:
8-4=4
Which relation is a function?
Answer:
A.
Step-by-step explanation:
If you use the vertical line test only one point hits the graph.
Using the vertical line test:
If you can draw a vertical line and it crosses the graphed line more than once, or multiples dots on the same line it is not a function.
The first graph is a function.
A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?
Answer: 200 literes will be used in an hour
Step-by-step explanation:
1. 150 divided by 45 mins = 3.3 recurring
2. 3.3 recurring times 60 ( 60 mins in an hour) = 200
The amount of the petrol will be consumed in one hour will be 200 liters.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A car uses 150 liters of petrol in 45 minutes.
Then the rate at which the amount of petrol is consumed in liters per minutes will be
⇒ 150 / 45
⇒ 10 / 3 Liters per minutes
We know that there are 60 minutes in one hour.
Then the amount of the petrol will be consumed in one hour will be
⇒ (10 / 3) x 60
⇒ 10 x 20
⇒ 200 liters
Thus, the amount of the petrol will be consumed in one hour will be 200 liters.
More about the ratio and the proportion link is given below.
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The cost of insurance on a house is directly proportional to the area of the house.Samhas a 2,500 square-foot house and pays a monthly insurance premium of $67.50Bella has a 3,800 square-foot house insured with the same company. What is her monthly premium?Q5
Answer:
y tú la vez bebiendo de la botella guz dividido por qué colgaron que no se sienta en tu casa no te preocupes que no me dijan no me dijan no me dijan que hacen
Helpppppppppp it’s IXL
Answer:
z^-75Step-by-step explanation:
[tex]z^0\times z^{-75}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \:a^b\cdot \:a^c=a^{b+c}\\\\z^0z^{-75}=z^{0-75}\\\\=z^{-75}[/tex]