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[tex]3y - 4x = - 8[/tex]
Add sides 4x
[tex]3y - 4x + 4x = 4x - 8[/tex]
[tex]3y = 4x - 8[/tex]
Divide sides by 3
[tex] \frac{3}{3} y = \frac{4}{3} x - \frac{8}{3} \\ [/tex]
[tex]y = \frac{4}{3} x - 8 \\ [/tex]
This is the slope-intercept form of the line.
We that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus ;
[tex]slope = \frac{4}{3} \\ [/tex]
_________________________________
Remember from now on ;
Multiply of the slopes of the lines which are perpendicular to each other equal -1 .
Suppose the slope of the line which question asked is m.
So :
[tex] \frac{3}{4} \times m = - 1 \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{3}{4} \times m = 4 \times ( - 1) \\ [/tex]
[tex]3m = - 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} m = \frac{ - 4}{3} \\ [/tex]
[tex]m = - \frac{4}{3} \\ [/tex]
Done...
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hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes hugo wants to make 9 keychains today if hugo works at the same rate today how long will it take him to make the keychains
Answer: 45 minutes.
Step-by-step explanation:
First, divide. 30 divided by 6 is 5.
Then, multiply 5 and 9. That equals 45 so 45 is your answer.
It takes 45 minutes to make the 9 keychains.
Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the time taken to make 9 keychains be x.
Now, 6:30::9:x
⇒ 6×x=30×9
⇒ 6x=270
⇒ x=45 minutes
Therefore, it takes 45 minutes to make the 9 keychains.
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Why should we learn the limit definition of the derivative when we could just learn shortcut rules for differentiation?
Answer:
Step-by-step explanation:
I think this is a very essential question to ask. While a lot of people want shortcuts to get things done(i used to too, when I was a student), shortcuts doesn't always cut it short. The reason is just as simple as that of any other subject that deals with theory.
Learning the limit definition gives ample knowledge about how the whole derivation works in general. Yes, quite alright, you can get the basic differentiation done when you don't learn that, but as someone who has gone far in calculus, I'd tell you for free, a time will come during computation where you'd get stuck because you never had that prior knowledge of definition.
Further along the line in calculus, you would be doing derivatives where you'd have to apply your knowledge of the definition of limit, and how would you be able get that done if you hadn't already learnt it?
Exactly!
Simply the expressions by distributing and combining like terms , if necessary 16x + 5.6(2x - 11)
Answer:
27.2x - 61.6
Step-by-step explanation:
16x + 5.6(2x - 11)
16x + 11.2x - 61.6
27.2x - 61.6
3. Kasey Marsenburg is a financial consultant for ABC Finance.
She eams $748.00 weekly. Her annual group medical coverage
costs $9.560, of which ABC Finance pays 65%. How much is
deducted weekly from her paycheck for medical coverage?
Answer:
Step-by-step explanation:
100-65=35%
If g(n) = 3n - 2, then what is the value of g(10)?
24
308
28
4
Answer:
C, 28
Step-by-step explanation:
1) Substitute 10 for n.
2) Multiply 10 by 3. That gives you 30.
3) Subtract 2, and you get 28
:)
Answer:
28
Step-by-step explanation:
just got it right
Rename 8 thousand 6 hundred
Answer:
8,600 should be the answer.
In the triangles shown below, AABC is similar to AXYZ. Given that ZA = 50° and
ZB = 100°, what is the measurement of ZZ? * plz help
Answer:
B. 30°
Step-by-step explanation:
Given in the question that triangle ABC and similar to triangle XYZ where ∠A = 50° ,∠B=100° then its true to say by AA { Angle-Angle} similarity ;
if ΔABC ≅ ΔXYZ then
∠A =∠X
∠B = ∠ Y
hence ; ∠C = ∠Z
Finding angle ∠C as ;
180°-{100+50}°
180°-150° = 30°
So angle ∠Z = 30°
Choose the SIMPLIFIED fraction that accurately represents the repeating decimal. (Each of these)
1. 0.333
2.0.454545
3.0.353535
4.242424
5.0.393939
Answer:
1) 1/3
2) 45/99
3) 35/99
4) 24/99
5) 39/99
Explanation:
1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3
2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99
3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99
4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99
5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99
fiona has a box of chocolates the box contains 60 chocolates she eats 1/5 of the chocolates she gives 32 chocolates away what is the fraction of the chocolates does she have left answer in simplest form
Answer:
4/15
Step-by-step explanation:
A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charge every hour, how many hours will the battery last?PLSSSS HURRYY
Answer:
An hour and 45 minutes
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The battery charge left in the phone = 5/8 of its battery
The battery loses every hour = 3/8 of its battery
The number of hours the battery will last if it loses 3/8 of its battery every hour:
= 5/8 ÷3/8
= 5/8 x 8/3
= 5/3
= 1.67 hours
This means,
1 hour = 60 minutes
Multiply 1.67 on both sides.
1.67 hours = 1.67 x 60 minutes
1.67 hours = 100.2 minutes
1.67 hours = 1 hour 40.2 minutes
Thus,
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
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the difference between half of a number and 9 is 17
Answer:
4
Step-by-step explanation:
9 divided by 2 is 4.5 17 divided by 2 is 8.5 subtract the two to get 4
Answer: The difference between 26 and 9 is 17
last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
This is two or more equations with common variables, also known as a linear system.
Line a is parallel to line t solve for x
Answer:
Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.
Step-by-step explanation:
Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7? Hint: Let A denote the event of a sum of 3. Let B denote the event of no sum of 3 or 7. Now, begin to list the out the sample space in terms of A and B - it should be recognizable in the lecture notes. Hint: A useful infinite series result when |z| < 1: 1 + z + z 2 + z 3 + z 4 + . . . = 1 1 − z
18+ (-40 =||
please answer
It would equall 22
Subtract 18 from both sides of the inequality.
a<40−18
Subtract 18 from 40.
a<22
The result can be shown in multiple forms.
Inequality Form:
a<22
Interval Notation: (−∞,22)
Find the sum of the polynomials: (x2 + 4x + 5) + (3x – 3)
+2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4
Answer:
x^2+7x+2
Step-by-step explanation:
hi! you can only combine terms with the same power (exponent value).
if we stack this like a regular addition problem, it will be easier.
x^2 + 4x + 5
3x - 3
-----------------------
4x+3x is 7x, and 5+ (-3) is 2. we keep the x^2 the same.
therefore, the answer is x^2+7x+2
hope this helps!
Two cars are traveling in the same direction. The first car is going 40mph, and the second car is going 55 mph. The first car left 3 hours before the second car. Which equation could you use to find how many hours it will take for the second car to catch up to the first car? hint: how many miles has the first car gone in those 3 hours?
Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of
(40 mi/h) (3 h) = 120 mi
Take the 3 hour mark to be the origin, so that the first car's position after t hours is
120 mi + (40 mi/h) t
while the second car's position is
(55 mi/h) t
The second car catches up to the first when their positions are equal:
120 mi + (40 mi/h) t = (55 mi/h) t
120 mi = (15 mi/h) t
t = (120 mi) / (15 mi/h)
t = 8 h
9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E
Answer:
D
Step-by-step explanation:
h(x)=12-0.5x
x=hour
three out of four students in school have a least one sibling. If there are 300 students in your school, how many would have a least one sibling
25 I think.... I am sorry if its wrong
1. General admission to the Fair is $10.00. Each ride costs $4.75. If Lisa has $75.00 to spend att Fair , what method cal be used to find out how many rides she can go on?
Answer:D
Step-by-step explanation:mark me brainliest
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSssssssss
if i could get 3 apples, and i got 5 mapples, how much apples do i get?
Answer:
3 Apples and 5 Mapples!!!
Step-by-step explanation:
Answer:
you have 8 apples
Step-by-step explanation:
ABC was translated Find A
Answer:
A' (2, -1)
Explanation:
The object's point A has a coordinate of (-2, 4).
The translation rule states that you:
- Add the x coordinate by 4 (x + 4)
- Subtract the y coordinate by 5 (y - 5)
Substitute the rule to point A's coordinate (x = -2 and y = 4).
(-2 + 4 , 4 - 5) = (2, -1)
Notice that the image's point A has moved four steps to the right and down by five steps from the original object.
Finding area of rectangle
Answer:
A=wl
w=width
l=length
Step-by-step explanation:
Answer:
a=lw
Step-by-step explanation:
If you have a rectangle that was 2 inches wide, and 4 inches long, you would multiply the length(l) by the width(w) to get the area(a).
A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.
Answer:
Very low, 2/8 or 1/4.
Step-by-step explanation:
please i need help
Answer:
x+25. the first part of y is 160 and then -160
Step-by-step explanation:
the top x part is getting 25+ biggger
the top y part is getting 100+ smaller
answer this question for points, it could be anything
Answer:
brihuh monment
Step-by-step explanation:
its a very long question to ask
Answer:
tell me bro i will answer the question
b. the results from both game a and game c align closely with the theoretical probability of winning those games while the results from game b don't
...............................................................
Answer:
Someone got my answer deleted
Step-by-step explanation:
help I have no clue what this is
Answer:1/20
Step-by-step explanation:mark me as brainliest