Answer:
18-2x
Step-by-step explanation:
distribute the 2 in 2(9-x) opposite of x is -x
Could someone please solve this using a^2+b^2=c^2
Step-by-step explanation:
it is shown in the above process.
hope you understand
It took Emma 3/4 hour to rake the leaves. It took her 1/5 hour more to
weed the garden than it took to rake the leaves. It took her 0.2 hour
more to mow the lawn than it took to weed the garden. Discuss a
strategy you can use to find the answer. Then determine how long it
took her to do all three chores.
9514 1404 393
Answer:
total: 2.85 hours = 2 17/20 hours
Step-by-step explanation:
Strategy: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.
3/4 = 0.75
1/5 = 0.2
Solution:
raking time: 0.75 hours
weeding time: 0.75 +0.2 = 0.95 hours
mowing time: 0.95 +0.2 = 1.15 hours
__
Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours
_____
Additional comment
You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.
largest 3 digit odd number
Answer:
999
Step-by-step explanation:
Solve for r: 3r+2-r=-4
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4
2r + 2 = -4
2r = -6
r = -3
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4 (Given)
2r + 2 = -4 (Simplify)
2r + 2 - 2 = -4 - 2 (Subtract 2 on both sides)
2r = -6 (Simplify)
2r/2 = -6/2 (Divide 2 on both sides)
r = -3 (Simplify)
Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW
Answer:
VW = 6
Step-by-step explanation:
To find x, set up the following equation:
(5x - 4) + (2x) = 5x
Solve out left side
7x - 4 = 5x
Subtract 5x from both sides
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide both sides by 2
x = 2
Plug into 5x - 4
5(2) - 4
10 - 4
6
Answer:
6
Step-by-step explanation:
5x - 4 + 2x = 5x
7x - 4 = 5x
-4 = -2x
2 = x
5(2) - 4
10 - 4
6
2.
It takes Troy 3 hours to mow his family's large lawn. With his little brother's help, he can
finish the job in only 2 hours. How long would it take the little brother to mow the entire
lawn alone ?
(A) 4 hr
(B) 5 hr
(C) 5.5 hr
(D) 6 hr
(E) 6.75 hr
Answer:
It takes four hours because the little bro is alone and only one lawn mower is used
The formula d=rt is used to calculate the distance traveled by an object moving at a constant average speed during an elapsed time . How long would it take a pilot to fly 1240 miles at an average speed of 220 mph?
Answer:
Approx 5.64 hours
Step-by-step explanation:
d=rt
t=d/r
To find the time, divide distance by velocity
1240 / 220 = approx 5.64 hours
What is the range of exponential function g?
The range of the exponential function is: B. [tex]g(x)>-6[/tex]
Recall:
Range of any function includes all possible values of y (output)
Domain of any function includes all possible values of x (input).
Thus:
The values of y in the exponential function greater than -6 on the y-axis as shown in the graph given.
Therefore:
Range of the exponential function given in the graph is: B. [tex]g(x)>-6[/tex].
Learn more about exponential function here:
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The product of 2 more than 5 times a number and 4 less than three times a number
Sorry I'm not sure if I'm right just my thinking...
set the number to be x so that (5x+2)(3x-4)??
plz help me do this thanks
I need help ASAP!!! Thanks
Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use?
Answer:
1/3
Step-by-step explanation:
To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.
5/6-1/2
L.C.M
10-6/12
4/12
=1/3
20. In the above figure, ZAOB = 80°. What does ZACB equal?
A. 10°
B. 160°
C. 80°
O
D. 40°
Answer:
D. 40
Step-by-step explanation:
A central angle is equal to the measure of its corresponding arc.
angle AOB is a central angle and it's corresponding arc is arc AB
this means that arc AB = measure of angle AOB
If angle AOB = 80 degrees then arc AB equals 80 degrees too.
An inscribed angle is equal to half the measure of its intercepted arc.
Angle ACB is an inscribed angle and the arc it intercepts is arc AB
This means that angle ACB = 1/2 of arc AB
We have found that the measure of arc AB is 80 degrees.
This means that angle ACB = 1/2 of 80 which is 40
2. Which type of variation is represented by the following equation?
indirect variation
Verification
[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]
[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]
Find the area and the circumference of a circle with radius 7 ft.
Answer:
Area is 307.72 ft^2
Circumference is 43.96 ft
Step-by-step explanation:
Area is 2pir^2
Circumference is 2rpi
pi is about 3.14
A=2pi(7)^2
A= 98pi which is about 307.72 ft^2
C= 2(7)pi
C= 14pi which is about 43.96 ft
(I'm not sure whether they want the answer left in terms of pi or not)
Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
A. (Image 092552)
B. (Image 092607)
C. (Image 092618
D. (Image 092630)
Answer:
C. (Image 092618
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
y1 is 2
y2 is -1
x1 is -3
x2 is 7
substitute:
[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]
Find the slope of the line graphed below
Answer:
-4/3
Step-by-step explanation:
To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/
Is the function given by f(x)=3x-2 continuous at x=5?
Answer:
Yes the function is continuous f(5) = 13
Step-by-step explanation:
Replace the variable x with 5 in the expression
Simlify the results
f(5) = 3(5)-3
f(5) = 15=3
f(5) = 13
Plotting on a graph gives a coninous line with a positive gradient
y intercept (0,-2)
Please view the attached graph
The bases of a prism are always
A. perpendicular
B. parallel
C. intersecting
D. rectangles
Answer:
D. rectangles
Step-by-step explanation:
Perpendicular is when they cross but the base isn't perpendicular
Parallel is when two lines never touch, but in the base of a prism there are lines that touch
Intersecting is when two or more lines meet and cross over each other
x ^ 2 − 17x − 60
Which expression is equivalent to the expression above?
(Please explain in simple terms cause, it's usually hard for me to understand)
[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]
First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .
Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .
I hope I helped you^_^
please help A data set has its first and third quartiles as 9 and 17, respectively.
Which of the following data points would be considered an outlier for the data set?
27
17
3
41
Answer: 27
Step-by-step explanation: hihihihihiiiiihihi
27 is considered an outlier for the data set.
What is quartiles?In statistics, a quartile exists as a variety of quantiles which divides the number of data points into four parts, or quarters, of more or less equal size. The data must be ordered from smallest to largest to calculate quartiles; as such, quartiles exist a form of order statistic.
A quartile separates data into three points—a lower quartile, median, and upper quartile—to form four sets of the dataset.
Hence, 27 is considered an outlier for the data set.
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Solve for x in the equation below.
-3x + 2 = -7
Answer:3
Step-by-step explanation:
-3x+2=-7
subtract 2 from both sides
-3x+2-2-(-7-2
simplify the arithmetic
-3x=-7-2
simplify the arithmetic aging
-3x=-9
=3
brainiest to whoever right.
Answer:
The problems listed are all the formulas for 2d figures:
Area of a Triangle: 1/2 B*H
Area of a Square: S^2
Area of a Rectangle: l*w
Perimeter of a Square: 4s
Perimeter of a Triangle: a+b+c
Perimeter of a Rectangle: 2l+2w
50 Points to correct answer!!!
what is the average rate of change from 2 to 9 of the function represented by the graph?
Answer:
-3/7
Step-by-step explanation:
It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).
We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.
We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.
The slope of a line is calculated by finding the ratio of the change of y to the change of x.
(-1-2)/(9-2)
(-3)/(7)
-3/7
Calculate 20% of 3 3/4 years in months.
Answer:
It is 9 months
Step-by-step explanation:
[tex] = 20\% \times 3 \frac{3}{4} \\ \\ = \frac{20}{100} \times \frac{15}{4} \\ \\ = \frac{300}{400} \\ \\ = \frac{3}{4} \: \: { \sf{years}}[/tex]
convert them to months by multiplying by 12:
[tex]{ \sf{ = \frac{3}{4} \times 12}} \\ \\ = { \sf{9 \: months}}[/tex]
If there are 6 people,and each person has 3 coins,There are times as many coins as people
help plsss . 10 points !
Answer:
B
Step-by-step explanation:
(7×2)⁶
when we put a number to the power of something, we need to include the whole number. bit just a part of it.
so, it must be 7⁶×2⁶
just think about the simple example 6², which we could write as (2×3)².
would it be sufficient to e.g. square only one of the factors ?
6² = 36
but e.g. 2×3² = 18. so, that's really not it.
or add the two factors and then square them ?
2+3 = 5. 5² = 25. so, that's not it either.
or multiply the exponent in ?
2×3×2 = 12. so that's not it either.
no, it truly is you need to do the operation to all parts.
2²×3² = 4×9 = 36. yes, that fits.
therefore, B is the right answer.
find the real numbers x&y so that (x^2+2xy)+i(y-1) = (x^2-2x+2y) - i(x+y)
Answer:
[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]
Or:
[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) - i(x +y)[/tex]
And we want to find the values of x and y such that the equation is true.
First, distribute:
[tex]\displaystyle (x^2 + 2xy) + i(y-1) = (x^2 -2x + 2y) +i(-x -y)[/tex]
If two complex numbers are equivalent, their real and imaginary parts are equivalent. Hence:
[tex]\displaystyle x^2 + 2xy = x^2 - 2x +2y \text{ and } y - 1 = -x -y[/tex]
Simplify:
[tex]\displaystyle 2xy = -2x +2y \text{ and }x = 1 - 2y[/tex]
Substitute:
[tex]\displaystyle 2(1-2y)y = -2(1-2y) + 2y[/tex]
Solve for y:
[tex]\displaystyle \begin{aligned} 2(y - 2y^2) &= (-2 + 4y) + 2y \\ 2y - 4y^2 &= 6y -2\\ 4y^2 + 4y - 2& = 0 \\ 2y^2 + 2y - 1 &= 0 \\ \end{aligned}[/tex]
From the quadratic formula:
[tex]\displaystyle \begin{aligned} y &= \frac{-(2)\pm\sqrt{(2)^2 - 4(2)(-1)}}{2(2)} \\ \\ &= \frac{-2\pm\sqrt{12}}{4} \\ \\ &= \frac{-2\pm2\sqrt{3}}{4}\\ \\ &= \frac{-1\pm\sqrt{3}}{2} \end{aligned}[/tex]
Hence:
[tex]\displaystyle y_1 = \frac{-1+\sqrt{3}}{2} \text{ or } y_2 = \frac{-1-\sqrt{3}}{2}[/tex]
Then:
[tex]\displaystyle x _ 1 = 1 - 2\left(\frac{-1+\sqrt{3}}{2}\right) = 1 + (1 - \sqrt{3}) = 2 - \sqrt{3}[/tex]
And:
[tex]\displaystyle x _ 2 = 1 - 2\left(\frac{-1-\sqrt{3}}{2}\right) = 1 + (1 + \sqrt{3}) = 2 + \sqrt{3}[/tex]
In conclusion, the values of x and y are:
[tex]\displaystyle x_1 = 2-\sqrt{3} \text{ and } y_1 = \frac{\sqrt{3}-1}{2}[/tex]
Or:
[tex]\displaystyle x _ 2 = 2 + \sqrt{3} \text{ and } y _ 2 = -\frac{1+\sqrt{3}}{2}[/tex]
I =∫▒dx/(x^2 √(x^2+4))
A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
[tex]\frac{170}{17}[/tex] = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
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