Answer:
[tex]21 \frac{7}{24} [/tex]
Step-by-step:
8 1/3 + 8 5/6 + 2 3/8 + 2 1/2
First, work out:
8 1/3 + 8 5/6= 103/6 = 17 1/6
After, work out:
2 3/8 + 2 1/2= 4 7/8
Then, add the two fractions together to get your answer
17 1/6 + 4 7/8
= 21 7/4
Hopefully this helped- have a good day)
Answer:
22 1/24
Step-by-step explanation:
A calculator is a useful tool for performing addition. Most modern graphing calculators will handle mixed numbers.
__
If you want to do it by hand, you might find it convenient to add the integer and fractional parts separately.
(8 1/3) +(8 5/6) +(2 3/8) +(2 1/2)
= (8 +8 +2 +2) + (1/3 +5/6 +3/8 +1/2)
= 20 +(2/6 +5/6) +(3/8 +4/8) . . . . . . use simple LCDs to combine pairs
= 20 +7/6 +7/8
= 21 + (1/6 +7/8) . . . . . simplify back to proper fractions
= 21 +(4/24 +21/24) = 21 +25/24 . . . . . use LCD = 24 for denominators 6, 8
= 22 1/24
? A goods train is travelling at 60 km per hour.
How long will it take for the train driver to pass
through a tunnel 2 km long?
Answer:
2 minutesStep-by-step explanation:
The train driver is moving at same speed as the train:
s = 60 k/hThe distance is:
d = 2 kmFind the time:
t = ?Use distance formula:
d = st t = d/st = 2 / 60 hr = 2 minSubtract 3x²-x from 5x-x²
with steps
Answer:
[tex]6x - {4x}^{2} [/tex]
Step-by-step explanation:
first put it into an equation
[tex]5x - {x}^{2} - ( {3x}^{2} - x)[/tex]
remember to put the 3x^2-x into brackets
[tex]5x - {x}^{2} - {3x}^{2} + x[/tex]
now we add like terms
[tex]6x - {4x}^{2} [/tex]
What is 66 2/3% of $48?
Answer:
32
Step-by-step explanation:
66 2/3% = 2/3 of 1
so 48*2/3=32
rewrite the following as radical expressions in simple radical form 3 square root m^22 j^17 and 3 square root 125- 2 square root 80
Answer:
you can regularly look it up, then u won't have to waste points.
Given that f(x) = x + 2 and g(x) = 3x^2 - 1 . What is (fg)(x) ?
Answer:
fg(x) = 3x² + 1
Step-by-step explanation:
fg(x)
f(3x² - 1)
(3x² - 1) + 2
3x² + 1
The value of the required function is [tex](3x^{3} + 6x^{2} - x - 2)[/tex].
What is a function?A function represents the relation between two sets. The first one is called domain and the second one is called range.
Two given functions are:
[tex]f(x) = x + 2 \\g(x) = 3x^{2} - 1[/tex]
Therefore the required function,
[tex](fg)(x)= f(x)g(x) \\= (3x^{2} - 1)(x + 2)\\= 3x^{3} - x + 6x^{2} - 2\\ = 3x^{3} + 6x^{2} - x - 2[/tex]
Learn more about function here:
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1. 4 friends share 3 oranges equally
Answer:
3/4. everyone gets three fourths of orange 3/4
do 3 ÷ 4
each friend gets 3/4 or 75% of orange
Name a quantity that is a variable and a quantity that is a constant.
Answer:
3x + 4 = 7 here 4 and 7 are both constants. 5x + 3y = 6 here x any y are variables.
Step-by-step explanation:
The six Quotient trigonometric identities
Answer:
See below
Step-by-step explanation:
Reciprocal Identities
[tex]cot\theta=\frac{1}{tan\theta}[/tex]
[tex]csc\theta=\frac{1}{sin\theta}[/tex]
[tex]sec\theta=\frac{1}{cos\theta}[/tex]
[tex]cos\theta=\frac{1}{sec\theta}[/tex]
[tex]sin\theta=\frac{1}{csc\theta}[/tex]
[tex]tan\theta=\frac{1}{cot\theta}[/tex]
Quotient Identities
[tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex]
[tex]cot\theta=\frac{cos\theta}{sin\theta}[/tex]
Is the sum of two real numbers always a rational number.
If so explain why
DESCRIBE DOMAIN WITH ALGEBRA in my screenshot (sorry caps)
Answer:
(2, 6)
Step-by-step explanation:
The domain of a function represents all inputs it can take. In the graph, we can see the function is only defined between x=2 and x=6, but it is defined for all points between x=2 and x=6. Therefore, the domain is (2, 6).
What is the equation that represents the linear function that is shown on the graph below. SHOW WORK PLSSS
Pls help I’m struggling
can someone help me out with this? I need an answer quickly I don't much time.
Answer:
The slope is 2/3
Step-by-step explanation:
Rise over Run.
50 POINTS!!! PLS HELP.
Answer:
x = 40°
Step-by-step explanation:
142 = 3x + 22
142 - 22 = 3x
120 = 3x
x = 120/3
x = 40
Check:
142 = 3*40 + 22
142 = 120+22
Answer:
[tex]3x + 22 = 142 (vertica \: number \\ are \: equal \: each \: other)\\ \\ 3x = 142 - 22 \\ \\ 3x = 120 \\ \\ x = \frac{120}{3} \\ \\ x = 40[/tex]
# be careful#
Help!! This is due soon and I been asking for quite a while.
:( giving brainliest to the person who shows work.
Answer:
The spy plane will re-fuel at coordinates ( 8, 7 )
Step-by-step explanation:
The spy plane leaves a secret runway at A (–16 , 28) and heads toward a missile factory at B.
We have to find Line 1
Runway (-16,28)
-16 = x2
28 = y2
Missile Factory
(48, –28)
48 = x1
-28 = y1
So we set up the equation:
a = y2 - y1 / x2 - x1 = 28 - (-28) / -16 - 48 = 56/-64 = -0.875
Now we must find the equaion: y = ax + b
we substitute a with -0.875
so the new equation will look like this: y = -0.875x + b
y2 = 28 = y
x2 = -16 = x
y = -0.875x + b
28 = -0.875(-16) + b
28 = 14 + b
28 - 14 = 14 - 14 + b
14 = b
so y = -0.875x + 14
Now lets solve for Line 2
we use the same formula:
a = y2 - y1 / x2 - x1 = 37 - (-13) / 56 - (-24) = 50/80 = 0.625
Now we must find the equaion: y = ax + b
we substitute a with 0.625
so the new equation will look like this: y = 0.625x + b
y2 = 37 = y
x2 = 56 = x
y = 0.625x + b
37 = 0.625(56) + b
37 = 35 + b
37 - 35 = 35 - 35 + b
2 = b
so y = 0.625x + 2
Now according to the text, it says "At what coordinates will the two planes meet to re-fuel the spy plane"
which means we have to find the point of intersection, which means we have to make both equation = to each other
so the problem would look like this:
-0.875x + 14 = 0.625x + 2
-0.875 + 0.875x + 14 = 0.625x + 0.875x + 2
14 = 1.5x + 2
14 - 2 = 1.5x + 2 - 2
12 = 1.5x
12/1.5 = 1.5x/1.5
8 = x
now that we know the x, we need to find the y
so y = 0.625x + 2 turns into
y = 0.625(8) + 2
y = 5 + 2
y = 7
so the answer is: The spy plane will re-fuel at coordinates ( 8, 7 )
In a game, your score starts at 0. You lose four points three turns in a row. You then gain two points. What is your score after those four turns?
Answer:
10?
Step-by-step explanation:
(-4 x 3) + 2= 10
Boubacar has $620 to spend at a bicycle store for some new gear and biking outfits Assume all prices listed include tax. • He buys a new bicycle for $296.04. • He buys 3 bicycle reflectors for $5.22 each and a pair of bike gloves for $13.26. • He plans to spend for $46.10 each one or all of the money he has left to buy new biking outfits
Step-by-step explanation:
46.1o+324.96≤620
o≤6.4
What is length of X and length of Y
Answer:
It is a right angled triangle.
so
tan32 = p/b
or, tan32 = x/5
or, tan32×5 = x
so, x = 3.124
for 5 no. the answer is a. 3.124
For y,
cos32 = b/h
or, cos32 = 5/y
or, y = 5/cos32
so, y = 5.895
for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.
Deena took six final exams and received these scores:
65, 72, 79, 86, 93, 100.
Answer:for the first exam she made a 65 for the second one she made a 72 for the third one she made a b for the forth one she made a 86 for the fifth one its b and replace it with a c for the last one she made a d
Step-by-step
If a $12,000 investment earns interest of $1,440 in 1 year, what is its rate of return?
a. 24 percent
b. 100 percent
c. 12 percent
d. 77 percent
e. 57 percent
The rate of return for the $12,000 investment in one year is 12%.
The correct answer is option C) 12 percent.
What is the interest rate of the investment?The simple interest formula can be expressed as:
Interest = Principal × Rate × Time
Given the parameters:
Principal P = $12,000
Interest I = $1,440
Elapsed time t = 1 year
Interest rate r =?
Plug the given values into the formula above and solve for the interest rate.
Interest = Principal × Rate × Time
1440 = 12000 × Rate × 1
1440 = 12000 × Rate
Rate = 1440 / 12000
Rate = 0.12
Convert to percentage:
Rate = 0.12 × 100%
Rate = 12%
Therefore, the interest rate is 12 percent.
Option C) 12 percent is the correct answer.
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63 POINT!!!!! GUYS, I NEED HELP WITH PLSSSSS NO CHEAT THANK YOU!!
Answer:
5 pounds
Step-by-step explanation:
( 3, 2 )
( 6, 3 )
m = [tex]\frac{3-2}{6-3}[/tex] = [tex]\frac{1}{3}[/tex]
y - 3 = [tex]\frac{1}{3}[/tex] ( x - 6 )
y = [tex]\frac{1}{3}[/tex] x + 1
y = [tex]\frac{1}{3}[/tex] ( 12 ) + 1
y = 5 pounds
What is the probability that a point chosen at random in the rectangle is also in the blue triangle?
O1/2
О4/5
O1
O2
Answer:
1/2Step-by-step explanation:
there are 2 corners that are blue out of 4
2/4 is the same as 1/2
which graph represents the inverse sine function?
Answer: A
Step-by-step explanation:
Write an equation of the line that passes through (-2, 3) and is parallel to the line y = 2.c – 4.
Answer:
y = 2x + 7Step-by-step explanation:
We know that:
Point given: (-2, 3)Parallel Line: y = 2x - 4We know that if two lines are parallel, then their slopes must be the same. However, their y-intercepts are different. Using the graph I made, we can identify the original line. Looking at the graph, we can conclude that the y-intercept is 7.
Hence, the equation of the line is y = 2x + 7.
prove that i" +in+l+in+2 +in+3 = 0
Answer:
hope it helps
Step-by-step explanation:
pls brainliest thank you
What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?
Answer:
[tex]6[/tex].
Step-by-step explanation:
A line that goes through [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] where [tex]x_{0} \ne x_{1}[/tex] would have a slope of [tex]m = (x_{1} - x_{0}) / (y_{1} - y_{0})[/tex].
The slope of the line that goes through [tex](8,\, 4)[/tex] and [tex](-1,\, 1)[/tex] would thus be:
[tex]\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}[/tex].
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is [tex](-1)[/tex].
Thus, if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] denote the slope of the first and second lines in this question, [tex]m_{1}\, m_{2} = (-1)[/tex] since the two lines are perpendicular to one another. Since [tex]m_{2} = (1/3)[/tex], the slope of the first line would be:
[tex]\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}[/tex].
Given that the first line goes through the point [tex](1,\, 0)[/tex], the point-slope equation of that line would be:
[tex](y - 0) = (-3)\, (x - 1)[/tex].
[tex]y = -3\, x + 3[/tex].
Substitute in [tex]x = (-1)[/tex] to find the [tex]y[/tex]-coordinate of the point in question:
[tex]y = -3\times (-1) + 3 = 6[/tex].
Monica reads 7 1/2 pages of a mystery book in 12 minutes. What is he average reading pages per minute in simplest form
Answer: 1 6/10 or 1 3/6
Step-by-step explanation: 12 / 7 1/2 = 1.6 or 1 6/10 or 1 3/6
Please mark me brainliest!
Find the value of x
Answer:
60
Step-by-step explanation:
Given is an equilateral triangle so all of it's angles are equal to each other
the sum of interior angles is equal to 180 so to find x we need to divide this by 3
180 / 3 = x
60= x
How many pieces of gum are in 4 packages of gum?
Answer:
about five pieces
Step-by-step explanation:
each pack of gum has five pieces each
:)
Evaluate each expression. |9|
Answer:
|9| = 9
Step-by-step explanation:
Answer:
+9
Step-by-step explanation:
The answer is how far 9 is from zero
|-9| is also 9 because it is nine spots away from zero
