Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs
Factor the trinomial below.Thanks
Answer:
A. (3x+2)(3x+2)
Step-by-step explanation:
(3x+2)(3x+2)= 9x^2+12x+4
FINDING SLOPE given GRAPHS, TABLES, POINTS and EQUATIONS!! Thank youu
The formula for slope is vertical change ÷ horizontal change, which means choose two points, (x1,y1) and (x2,y2), then do (y2-y1) ÷ (x2-x1).
For the graph, just pick two random points that you like. For the table, pick two sets of numbers (for example -10,-47 and 4,9). For the equation, create two sets of coordinates. For example, if you have f(x) = x + 3, then if x = 1, y = 4 and if x = 2, y = 5.
Question 6
4 pts
You flip a coin three times. What is the probability you will have at least 2 heads?
67%
50%
33%
25%
Answer: 33%
Step-by-step explanation:
Show that (1+i)^2 = 2i
PLEASE HELP WILL GIVE BRAINLIEST ANSWER!!! Thanks
Answer:
please check explanations
Step-by-step explanation:
As we all know, i is same as root of -1
let us expand what we have;
(1 + i)^2
= 1(1 + i) + i(1 + i)
= 1 + i + i + i^2
as i is square root of -1, the square of the square root of -1 is -1
Thus, we have
1 + 2i - 1
= 2i
An airplane ticket to new york is priced at $1232.10 inclusive of 11% sales tax what amount would the airline ticket cost exclusive of sales tax
Answer:
net is before tax
gross is after tax
Need help ASAP!!!plz
Answer:
The answer is D
Step-by-step explanation:
Students from Oak Middle School and Lake Middle School are holding a car wash to raise money for charity. The expression 70 +60 represents the amount Oak Middle School raises. The
expression By + 30 represents the amount Lake Middle School raises. Which expression shows the total amount the two schools raise?
15x90
Soxy90
O 7x+By90
15190
The expression that shows the total amount the two schools raise is 7x + 8y + 90.
What is an expression?It should be noted that an expression is simply used to show the relationship between the variables that are used.
From the information, the expression 7x +60 represents the amount Oak Middle School raises and the expression 8y + 30 represents the amount Lake Middle School raises.
Therefore, the total amount will be:
= 7x + 60 + 8y + 30
= 7x + 8y + 90
The total amount is 7x + 8y + 90.
Learn more about expressions on:
brainly.com/question/723406
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BRAINLIEST+50 POINTS
Hey! I really need help figuring this problem out. I have a test in a few hours and I don't know how to find the answer to questions like these, I would really appreciate it if you show your work so I can figure out how to solve these myself. Thank you!
Answer:
(2, -1)Step-by-step explanation:
Given system:
-3x - 2y = -49x + 3y = 15Solving by elimination
Multiply the first equation by 3 and add up equations, then solve for y:
3(-3x) - 3(2y) + 9x + 3y = 3(-4) + 15-9x - 6y + 9x + 3y = -12 + 15-3y = 3y = 3/(-3)y = -1Find the value of x:
-3x - 2(-1) = -4-3x + 2 = -4-3x = - 4 - 2-3x = -6x = -6/(-3)x = 2The answer is: (2, -1)
One box of nails weighs 3.4 pounds and another box weighs 5.2 pounds. How much more does the heavier box weigh?
Answer:
1.8 pounds
Step-by-step explanation:
answer this! i’ll give brainliest
Answer:
-0.6, -1/4, 0.3, 1/2
Step-by-step explanation:
Give me brainliest.
Answer:
-0.6, -1/4, 0.3, 1/2
Step-by-step explanation:
Write the quadratic equation in standard form:
x^2- 1 = -7x
Answer:
standard form: ax² + bx + c = 0
x² - 1 = -7x
x² + 7x - 1 = 0
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
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)
Solve for xxx. Your answer must be simplified. -4+x≤9
Answer:
x≤13
Step-by-step explanation:
-4+x≤9
Add 4 to each side
-4+4+x≤9+4
x≤13
Answer:
x≤13
Step-by-step explanation:
khan
help i'll give you brainly
16 ÷ 2 + 6(8 - 2^2 )
Answer:
The answer is 32.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
PEMDAS:
16 ÷ 2 + 6(8 - 2^2 )
2^2 = 4
(8-4) = 4
16 ÷ 2 + 6(4)
16 ÷ 2 + 24
8 + 24
32
Please help I needed it badly
Answer:
The answer is C trust me I did this
Please help me in this
The answer is A. 2 and 4
Reason:
To formula for circumference is 2 x r x pi
2 x 2 = 4, 2 x 4 = 8and 4 + 8 = 12
Area is r ^2 x pi
2 ^2 = 4, 4^2 = 16 and 4 + 16 = 20
10.
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
A. 5
B. 4
C. 7
D. 2
Answer:
C. 7
Step-by-step explanation:
The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.
Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.
Next, when the plane lands in New York the altitude will touch the horizontal axis.
Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.
Lastly the altitude will touch the axis when plane lands back in Chicago.
So, cumulatively the altitude will touch the horizontal axis seven times.
Which pair of angles are alternate exterior angles ?
8 and 1 are alternate exterior angles.
Answer:
<8 and <1
Step-by-step explanation:
<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.
Hope this helps, thank you !!
Help ASAP please Ahhhhh
Answer:its A
Step-by-step explanation:
Answer:
Your answer would be A. Your welcome
What is the constant in the expression 7x + 3
Answer:
3
Step-by-step explanation:
In expressions, there are 4 items to look at :
1. Terms
2. Coefficients
3. Like Terms
4. Constant Terms
Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.
This would mean numbers without a variable, look at the expression below :
7x + 3
Since 3 doesn't have a variable, therefore 3 is a constant term.
a plywood plank measures 1cmx 8cm x 90cm and it weighs 396g.What is the density
answer
Answer:
the answer is 0.55
density=mass/volume
density=396/720(8*1*90)
Please help! image is below
Explanation = brainliest
Answer:
x=67.5ft
Step-by-step explanation:
similarity and congruence
the length of one side of the bigger triangle divided by the length of the similar side of the smaller triangle
equate the unknown ratio with a known ratio
71.5/49.5=97.5/x
x=(97.5 x 49.5)/71.5
x=67.5 ft
What equation of a line would be parrallel to y=4/1X+-3
Answer:
y=4/1x+7
Step-by-step explanation:
it has the same gradient
the number being c (y=mx+c) can be anything
Please can someone helpppp
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
Solve for x.
(x + 10)°
(4x - 35)°
Answer:
x = 15
Step-by-step explanation:
x+10=4x−35
x+10−4x=4x−35−4x
−3x+10−10=−35−10
−3x=−45
x = 15
N a survey, a group of students were asked their favorite sport. Eighteen students chose "other" sports. baseball: 40% football: 37.5 other:?
Answer:
22.5%
Step-by-step explanation:
The total number of students in percentage terms is 100%
Students that chose others = 100% - 40% - 37.5% = 22.5%
3pts 7.) Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
9514 1404 393
Answer:
9 miles
Step-by-step explanation:
Of course, 45 min = 45/60 hours = 3/4 hours.
__
The relationship between time, speed, and distance is ...
distance = speed · time
distance = (12 mi/h) · (3/4 h) = 9 mi
Her position will be 9 miles from 0 after 3/4 hour.
how would you factor 12b^4+3b^2
Answer:
3b²(4b²+1)
Step-by-step explanation:
You can factor out a 3b²
3b²(4b²+1)
Answer:
Hey friend, need some help if you factor 3b^2 out of 12b^4+3b^2, in other words, 3b^2 (4b^2 + 1)
Show your work:
3b^2 (3b^2 / 12b^4) + (3b^2 / 3b^2)
PLZ give 5 stars, heart, and brainlyest
PLEASE HELPPPP EASY 10 POINTS
Answer:
y=x+5
Step-by-step explanation:
Answer:
Step-by-step explanation: