MANUFACTURING. The number of cars built varies
directly as the number of hours the production line
operates. What is the ratio of cars built to hours of
production? At this rate, how many cars can they
build in 5 hours?
Answers
Answer:
60 cars per hour
Step-by-step explanation:
Related Questions
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Answers
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:
[tex]r = \frac{4\,in}{5\,ft}[/tex]
We can convert each length by dividing it by scale factor. That is:
Length
[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]l' = 20\,ft[/tex]
Width
[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]w' = 31.25\,ft[/tex]
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?
Answers
Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
convert 2.5t into pounds
Answers
Answer:
5000 Pounds
Step-by-step explanation:
I'm pretty sure this is the answer if not I'm honestly sorry.
Answer:
5512 lbs
Step-by-step explanation:
Please help me if you guys can, it would be very appreciated!!<3
Answers
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answers
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
Order -5,-7,0, and 4 from least to greatest
Answers
Answer:
-7,-5,0 and 4 is from the least to the greatest.
Answer:
-5,-7,0,4
Step-by-step explanation:
-5
-7
0
4
Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.
Answers
Răspuns:
292,50
Explicație pas cu pas:
Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17
Suma principală depusă, P = 250
Suma totală, A după 1 an poate fi calculată astfel:
A = P (1 + rt)
Unde ; r = rata dobânzii; t = timp
A = 250 (1 + (0,17 * 1))
A = 250 (1,17)
A = 292,5
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Answers
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answers
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
Is the function even,odd, or neither
Answers
Answer:
even :D
Step-by-step explanation: :D
Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?
Answers
Answer:
hjgfghjk
Step-by-step explanation:
:)
Help please!! Help me with this triangle
Answers
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answers
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
in the diagram below, de is parallel to xy. what is the value of y
Answers
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answers
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.
Answers
Answer: See explanation
Step-by-step explanation:
You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.
Robby went on Monday and bought three movies for $15.36. The cost per movie will be:
= $15.36/3
= $5.12
Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:
= $27.40/5
= $5.48
Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:
= $20.08/4
= $5.02
Madison went on Friday and bought six movies for $31.44. The cost per movie will be:
= $31.44/6
= $5.24
We can see that Trey had the best deal.
What is the answer???
Answers
Multiply (x – 3)(x + 5)
Answers
Answer:
x^2+2x-15 hope it helps
I believe hope this helped !!
what is the answer to this question
Answers
Answer:
it would be c. 5 1/4
Step-by-step explanation:
can someone please help with this? will give brainliest
Answers
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
I WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answers
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
Can you divide any number by zero?
Answers
Answer:
well basically no so i say no
Step-by-step explanation:
you can but you wouldn't get a answer because you would only get the same answer so..
Answer:
When we try to divide by zero, things stop making sense
Step-by-step explanation:
Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
Answers
the answer is -3m - 15 .
hope it helps you
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answers
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.
Answers
£13,500 divided by 12 months = £1125
Dana’s tax £1,125
£45,000 divided by 12 months = £3750
Dana’s Income money each month is £3750
£3750 - £1125 = £2625
Dana’s makes £2625 after paying her tax
Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answers
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
Hi! need help asap xx
Answers
Answer:
C
Step-by-step explanation:
The 3 triangles are all similar.
Using the 2 inside then the ratios of corresponding sides are equal, that is
[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
Answer:
C) x = 6
because this is a right triangle
=> we have:
(12² + x²)(3² + x²) = (15x)²
<=> 1296 + 153x² + x⁴ = 225x²
<=> x⁴ - 72x² + 1296 = 0
<=> (x² - 36)² = 0
<=> x² = 36
=> x = 6
Wesley drives 12 miles to work every day. During his drive to work he sees 18 billboards. Which ratio shows miles driven to billboards seen by Wesley?
Answers
Answer:
2:3
Step-by-step explanation:
divide both by 6.
2x - 2 = x-5
I’ll give 35 points plz help
Answers
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3
Which expressions have exactly two factors? Choose ALL that apply.
Please Help
Answers
Answer: xy and 3(b - 1 )
Step-by-step explanation:
Answer:
Step-by-step explanation:
this expression is xy and 3(b-1)
