Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
- The line AB has equation 5x – 2y = 7. The point A has coordinates (1, -1) and the point B has coordinates (3,k). (a) (i) Find the value of k. (ii) Find the gradient of AB. (b) Find an equation for the line through A which is perpendicular to AB. (c) The point C has coordinates (-6, -2). Show that AC has length pV2, stating the value of p.
Step-by-step explanation:
For finding k we'll have to plug in the x-value of the coordinate (3,k) into the equation, and solve for the y:
5(3) - 2y = 7
15 - 2y = 7
2y = 8
y = 4 => k =4
2) I assume the gradient is the slope of the line. If so, just isolate the y in the original equation and see what's the coefficient of the x:
-2y = -5x + 7
y = (5/2)x + 7/2 => the gradient is 5/2
3) the condition of perpendicularity is expressed by the following relation:
a * a' = -1
Where a is the slope of the first line and a' of the second line. We need to find a' that will be:
-1/a = -1/(5/2) = -2/5
The perpendicular line will be:
y = (-2/5)x + b
We need to find b, and we know that this line passes through A (1,-1):
-1 = (-2/5)*1 + b
b = -1+(2/5) = -3/5
The equation will be:
y = (-2/5)x - 3/5.
4) I don't know what that symbol means (pV2).
Complete the statements describe how to convert feet to yards to find the number of yard like the number of feet by the unit rate blank feet per yard
Answer:
divide3 ft/ydStep-by-step explanation:
To find the number of yard, divide the number of feet by the unit rate 3 feet per yard.
Find the slope of the line passing through the points(3,-9) and(2,-2) .
Answer:
-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-9))/(2-3)
m=(-2+9)/-1
m=7/-1
m=-7
I Keep getting different number help plz
Answer:
x = 2
Step-by-step explanation:
(4+3x)/2 = 5
4+3x = 10
3x = 6
x = 2
Answer:
the answer is two
Step-by-step explanation:
4/2 3x/2=5
2+1.5x=5
-2. -2
1.5x=3
————
1.5. 1.5
3/1.5=2
25. Which is a solution of the inequality y
(3,-5)
(2,-1)
(4,1)
(6,-4)
Step-by-step explanation:
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5
An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?
375 inches of cable were used for an elevator with weight limit of 800 lbs
Let y represent the weight in pounds and x represent the inches of cable.
Since y and x are proportional:
y = kx,
k is the constant of proportionality.
15 inches of cable, we can hold up to 32 pounds. Hence:
32 = 15k
k = 2.13 pounds per inch
y = 2.13x
For a weight of 800 lbs, y= 800:
800 = 2.13x
x = 375 inches
375 inches of cable were used for an elevator with weight limit of 800 lbs
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What positive acute angle is
Зл/4
related to?
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
2...
Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this
Answer:
126 1/3 yards
Step-by-step explanation:
1 foot = 1/3 yard
379 feet = 379/3 yard= 126 1/3 yards
3plss help, it times;;;;;;;;;;;;;;;;;;;;;;;;;
Answer:
w=4
Step-by-step explanation:
72/48=6/w
3/2=6/w
12=3w
w=4
Given f(x)=9-2x, find f(10).
A.-11
B.11
C.29
D.-29
Answer:
the answer is A
Step-by-step explanation:
9-2(10) 9-20
The given function is a linear function that decreases as the value of the
input x increases.
The value of f(10), given f(x) = 9 - 2·x is option A. -11Reasons:
The given function is f(x) = 9 - 2·x
The output of the function is the value of f(x) for a given input x of the function.
The input value, x is substituted into the function to obtain the output value, f(x).
Given that the input, x = 10
We have;
f(10) = 9 - 2×10 = -11
Therefore, the correct option for f(10) is A. -11
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A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches. What is the perimeter of the shape?
Answer: 40
Step-by-step explanation: do 6 add 5 add 4 add 3 add 4 add 2 add 6 add 10
What is mean number of strawberries collected each day Round to the nearest whole number if necessary 107,122,148,135,126,154
Answer:
132
Step-by-step explanation:
step one: add all the numbers in the data set.
107 + 122 + 148 + 135 + 126 + 154
= 792
step two: divide the sum by the how many numbers are in the data set
792/6 = 132
the mean number of strawberries collected each day is 132 strawberries.
hope this helps!<3
I NEED HELP FOR MY FINALS PLS N TY!!!
1. Compute the length of a rectangle with a perimeter 40.2 in and width of 6.7 in.
Answer:
13.4
Step-by-step explanation:
You would take the width x 2 which is 13.4. Now you subtract the combined width from 40.2. From here you are left with 26.8. Since this is a rectangle the length would be the same on both sides. You divide 26.8 by 2 and you get 13.4.
The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?
200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules
The kinetic energy of the roller coaster is 2000Joules
Given the formula for expressing the velocity of the roller coaster is given as:
[tex]v = \sqrt{\frac{2k}{1000} }[/tex]
Given the following parameter:
v = 10m/s
Substitute the given parameter into the formula to have:
[tex]10 = \sqrt{\frac{2k}{1000} }[/tex]
Square both sides of the equation:
[tex](10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules[/tex]
Hence the kinetic energy of the roller coaster is 2000Joules
Learn more on subject of formula here: https://brainly.com/question/657646
Answer:
You need to use √2k/1000 formula.
2000 joule is the correct answer.
After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.
1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking
Mean=The average of all his throws
It's asking us to calculate his total score
2. Find Clues to help you solve word problems
Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier
5 throws and Mean Score is 32 are the clues
3. Guess and check
The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.
Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5
Let's try bigger numbers
20+25+20+20
If you like this method, you may try it another method is called work Backwards
5x32=160
Then divide 160 by 5 to double check and you get 32!!
========================================
Therefore, the answer s 160 as his total score
hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept
Hope this helped (:
G(x)=4.8x -5
I needed help finding the slope
Answer:
Slope is 4.8
Step-by-step explanation:
[tex]{ \tt{G(x) = 4.8x - 5}} \\ [/tex]
Answer: The Answer is 4.8
pls answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2rr
Step-by-step explanation:
Answer:
The domain is the x-values from least to greatest, while the range is the y-values from least to greatest. For this problem, domain would be [3, 18] and range would be [-12, 15].
Step-by-step explanation:
Since we know domain is the x-values listed from smallest to largest, we can order our values that way:
(3, -1), (5, 15), (7, -1), (11, -12), (18, -6).
3<5<7<11<18
That means the range is (3, 18). However, since both 3 and eighteen are included in the set, we use brackets. [3,18], putting the smaller number first, followed by a comma, and then the bigger number.
We will do the same for the range.
(11, -12), (18, -6), (3, -1), (7, -1), (5, 15)
-12<-6<-1=-1<15
This means the range is (-12, 15). Since -12 and 15 are included in the set of values, we use brackets. [-12, 15].
A car is traveling at 20 miles per hour during rush hour. How far does the car travel in 1 minute and 45 seconds?
Answer: 7/12 miles
Step-by-step explanation:
20mph = 20/60 miles per minute = 1/3 miles per minute
1 min 45s = 1 min + 3/4 min = 7/4 min
1/3 x 7/4 = 7/12 miles
The distance travelled by car with the given speed and time is 7/12 miles.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, a car is traveling at 20 miles per hour during rush hour.
Time =1 minute and 45 seconds
= [tex]1\frac{45}{60}=1\frac{3}{4}[/tex]
= 7/4 minutes
Now, 20 miles per minute
= 20/60 miles per minute = 1/3 miles per minute
We know that, Distance =Speed×Time
= 1/3 ×7/4
= 7/12 miles
Therefore, distance travelled by car is 7/12 miles.
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At a certain shirt factory, 6 buttons are used on each shirt. If a box containing 120 buttons costs $7, determine the cost for the number of buttons needed for 680 shirts
Answer: $238
Step-by-step explanation:
120/6 = 20 shirts for $7
680 / 20 = 34 lots of shirts costing $7
the cost = 34 x 7 = $238
Answer:
238$
Step-by-step explanation:
680*6=4080
this is how many buttons used
4080/120=34
this is how many boxes of buttons
34*7=238
this is the amount
Martin, his 2 brothers, and his 5 sisters want to fairly share 3 bottles of water. How
much water will Martin get?
Answer:
3/8 bottle
Step-by-step explanation:
Fractions are just division.
Martin + 2sisters + 5bros
= 8 people
3bottles ÷ 8people
= 3/8 bottles per person
Martin is a person, so he gets 3/8 of a bottle, if they all share equally.
Using proportions, it is found that Martin will get 0.375 of a bottle.
This question is solved by proportions, using a rule of three.Martin, his 2 brothers and 5 sisters combine to represent 8 people, which will share 3 bottles equally. How much will Martin, which is one person, get?The rule of three is:
1 person - x bottles
8 people - 3 bottles
Applying cross multiplication:
[tex]8x = 3[/tex]
[tex]x = \frac{3}{8}[/tex]
[tex]x = 0.375[/tex]
Martin will get 0.375 of a bottle.
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Two companies working together can clear a parcel of land in 20 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
it's took 10 hour maybe what subject is this
there are 11 members on a board of directors.if they must firm a subcommittee of 5 members how many different subcommittees are possible
You see here, there are too many people in the government and all of this gets us no where. So, too many is the answer.
The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer length of the path
Answer:
631 m²
Step-by-step explanation:
Outer length of park = Total area - Area of pond
Outer length of park = 1000 - 369
Outer length of park = 631 m²
Answer:
Hope it will help you a lot.
A tree of unknown height casts a shadow that is 18 feet long. If a person that is 5 ft 7 in casts a shadow that is 4 ft long, then how tall is the tree in feet?
Round your answer to the nearest integer. Do not include feet in your answer.
Answer:
25.
Step-by-step explanation:
5 ft 7 in = 5.583 ft.
We have 2 similar triangles here.
If h is the height of the tree, then:
h / 5.583 = 18/4
h = 18*5.583/4
h = 25.12 ft
The height of the tree is approximately 25.12 feet.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The ratio of the shadow lengths is equal to the ratio of the object heights.
In other words, if we let H be the height of the tree in feet and h be the height of the person in feet, we have:
H/h = 18/4
We can find h by converting the person's height to feet. Since 1 inch is equal to 1/12 foot, the person's height in feet is 5 + 7/12 = 5.58 feet.
Substituting this value into the equation above and solving for H, we get:
H = (18/4) x 5.58 feet
= 25.12 feet
Therefore, the tree is around 25.12 feet tall.
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A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?
Answer: yes
Step-by-step explanation:
Learning Task 2 B. Perform the indicated operations. Write your solution in the box below. Add Subtract: 1. (5x4 - 3x2 + 4) + (6x3 - 4x2 - 7) 6. (5x3 - 7x2 + 3x - 4) -(873 + 2x2 32-7) 2.-7x3y + 4x2y2 - 2 and 4x3y + 1 - 8x2y2 7. (2x2y - 5xy + 3y2 -- (7xy -- 672 - 5729) 3. (5 + 24y3 - 7y2) + (-6y3 + 7y2 + 5) 8. (9x5 - 623 + 712) - (773 4. (2xs - 6x3 - 12x2 - 4) + (-11x + 8x + 2x2 + 6) 9. Subtract 4x3.5x - 8 from 672 - 3x + 8 5. (3y5 - 2y + y* + 2y3 + 5) and (238 + 3y8 + 2+ 7) 10. (1.599 + 4.8y2 + 12) - (ya - 1.742 + 2y) Solution and Answer 67 + 2x2) -
Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.
(a) sin (t) = - square root of 3 divide by 2
when t=
(b) cos (t) = 1/2
when t=
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]
[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]
[tex]cos(t)=\frac{1}{2}[/tex]
[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.
What is the equation in standard form of the line y= 1/9x +5
Answer:
answer below
Step-by-step explanation:
9(y = 1/9x + 5)
9y = x + 45
-x + 9y = 45
x - 9y = -45
Use polynomial identities to multiply (5 - 4x3)(5 + 4x3). What identity did you use?
A. Difference of cubes identity
B. Difference of squares identity
C. Binomial Theorem
D. Square of a sum identity
[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]
It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60?
Answer:
176
Step-by-step explanation:
9.10 / 91 = 1/10
17.60 x 1/10 = 176