Answer: C & D
Step-by-step explanation:
I took the test and got it right (:
Hope this helps
A scalene triangle has NO equal sides A has 3 equal sides and B has 2 equal sides, so that means Triangles C & D are your answer!
Viktor borrowed money from his father to buy a bike. He will repay him by making 4 equal payments of over $40. Which inequality represents the amount of money, m, Viktor borrowed from his father? m less-than 44 m greater-than 44 m less-than 160 m greater-than 160
Answer:
D
Step-by-step explanation:
Edu
If a pair of standard dice are rolled,
what is the probability that at least
one die shows a 5?
?
Answer:
The correct answer is 11/36
Step-by-step explanation:
The probability that at least one die shows a '5' is 11/36.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
Here, a pair of standard dice are rolled.
Therefore, the total number of combinations of two dice is = 6² = 36.
The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)
Therefore, the total number of cases at which one die shows a '5' is = 11.
Therefore, the required probability of the given event is
= 11/36
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Help please
During a food drive, a school collected 217 cans of peas and
217
186 cans of corn. The problem at the right can be used to find
186
how many more cans of peas were collected than cans of corn.
Fill in the blanks to explain how to regroup when solving the problem.
Since
tens cannot be subtracted from 1 ten, regroup 2 hundreds
as
hundred(s) and 10 tens. Then combine all the tens in the top
number for a total of
tens. The school collected
more cans of peas than cans of corn.
Answer:
31 (i.e 3 tens and 1 unit)
Step-by-step explanation:
217 can be split up as,
2 hundreds, 1 tens, and 7 units.
186 can be split up as,
1 hundred, 8 tens and 6 units
If we solve straight we'll have
(2-1)hundreds + (1-8)tens + (7-6)units.
(1-8)tens will give a negative value, complicating the operation.
To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes
1 hundred, 11 tens and 7 units.
The operation becomes
(1-1)hundreds + (11 - 8)tens + (7-6)units
= 0 hundred + 3tens + 1 unit
= 3 tens + 1unit
= (3 x 10) + 1 = 31
Is z = 5 in the solution set of the inequality 6z > 15
YES
OR
NAA
Answer:
Yes
Step-by-step explanation:
6z > 15
z > 15/6
z > 2.5
So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two given datasets are equal, what is the value of ( − )2?
We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.
First of all, we will arrange our given data sets in ascending order.
[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]
Since our data sets have 4 data points, so median will be average of middle two terms.
[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]
Now we will equate both median as we are told that median of both data sets are equal.
[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]
Cross multiply:
[tex]2(5+y)=2(4+x)[/tex]
Divide both sides by 2:
[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]
[tex]5+y=4+x[/tex]
[tex]5-5+y-x=4-5+x-x[/tex]
[tex]y-x=-1[/tex]
Let us square both sides of our equation.
[tex](y-x)^2=(-1)^2[/tex]
[tex](y-x)^2=1[/tex]
Therefore, the value of [tex](y-x)^2[/tex] would be 1.
if you had a sale price of $40 and the percent of your discounts 25% what was the original price.
Answer:
$ 50
Step-by-step explanation:
Original price = Sale price + discount
= 40 + 25% of 40
= 40 + 0.25 * 40
= 40 + 10
Original price = $50
Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?
Answer:
Have them 4 by 5.
Step-by-step explanation:
If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.
For example, (The "o" is a chair)
OOOOO
O
O
O
As you see the the top are the 5 chairs, then side are are the 4 chairs.
Then, you will do the exact same thing but on the opposite side.
Here is the next example.
OOOOOO
O O
O O
O O
OOOOOO
Basically, arranging the chairs 4x5, it would make a rectangle.
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the
circumference of the circle sprayed by the sprinkler? Use 22 for A.
21 ft
66 ft
120 ft
132 ft
Answer:
d 132
Step-by-step explanation:
Answer:
THE ANSWER IS D
Step-by-step explanation:
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
A 24 ounce box of cornflakes costs $4.59 the question is find the unit rate off the nearest cent per ounce. Compare.
Answer$5.22
Step-by-step explanation:
The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years 1970-1979 (in million km2): 6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2 What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
Answer:
Step-by-step explanation:
From the given information,
The ten observation data on october snow cover for Eurasia during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2
What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,
Remove the smallest and the largest values to compute the trimmed mean
[tex]\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465[/tex]
Which division expression is equivalent to 4 and one-third divided by Negative StartFraction 5 over 6 EndFraction? StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction) Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Answer:
[tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]
Step-by-step explanation:
The first step is to convert the mixed number to an improper fraction.
[tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]
Answer:
it's a
Step-by-step explanation:it's what the guy above me said
Which mixed number is equivalent to the improper fraction 55/4
The mixed number will be 13 3/4.
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simplified result is 1718
17
18
. Find the original fraction. (Do NOT simplify.)
Answer:
[tex]\dfrac{40}{42}[/tex]
Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:
[tex]\dfrac{x}{x+2}[/tex]
If both numerator and denominator are decreased by six, the fraction becomes:
[tex]\dfrac{x-6}{x+2-6}[/tex]
The simplified result is [tex]\dfrac{17}{18}[/tex]
Therefore:
[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]
Substituting x=40 into the initial fraction
[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]
Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]
I really just need a simple STEP-BY-STEP explanation on how you do percentages.
∫ ( cos^4(3x)) d x
Answer:
⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C
Step-by-step explanation:
∫ cos⁴(3x) dx
Use power reduction formula:
⅛ ∫ (3 + 4cos(6x) + cos(12x)) dx
⅜ ∫ dx + ½ ∫ cos(6x) dx + ⅛ ∫ cos(12x) dx
⅜ ∫ dx + ¹/₁₂ ∫ 6 cos(6x) dx + ¹/₉₆ ∫ 12 cos(12x) dx
⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C
2x + 3y = 12
Complete the missing value in the solution to the equation.
,8)
What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs
Answer: C you pay fee fewer upfront cost
Step-by-step explanation:
749÷7 using partial quotients
Answer:107
Step-by-step explanation:
749 ➗ 7=107
What’s the correct answer for this? Select the ones that apply
Answer:
A: -2
B: -10
Step-by-step explanation:
A: the slope of line b is -2
B: Point: (-6,2)
So x= -6 and y = 2
Putting in slope intercept formula for finding b
y=mx+b
2=(-2)(-6)+b
2= 12 + b
b = 2-12
b= -10
The y-intercept of line b is -10
the circumference of circle x in which a = 49pi in squared
Answer:
C = 14 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 pi/pi = pi /pi r^2
49 = r^2
Take the square root of each side
7 = r
The circumference is given by
C = 2 * pi *r
C = 2 * pi *7
C = 14 pi inches
A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
Answer:
1 lb 8 oz
Step-by-step explanation:
The weight gain was the difference between the current weight and the beginning weight: 20 lb 2 oz less 18 lb 10 oz. Since 10 oz is less than 2 oz, we must 'borrow" 1 lb, or 16 oz, to be able to perform the subtraction. Thus, 20 lb 2 oz becomes 19 lb + 16 oz + 2 oz, or 19 lb 18 oz.
Then the indicated subtraction comes out to 1 lb 8 oz, which represents the baby's weight gain over the past month.
Graph the solution set for each given inequality
a. x > 7.75
b. x Underscore-< 5/2
I just want to see how to graph it. Sorry if that's too much to ask :P
Answer:
see the attachments
Step-by-step explanation:
An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)
__
a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.
__
b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.
In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?
Answer:
61%
Step-by-step explanation:
First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.
Which equation describes a line
that passes through (0, 3) and is
perpendicular to the line described
by y = -5x - 4?
Answer:
A line has equation y = ax + b, perpendicular to the line y = -5x - 4
=> a x (-5) = -1 => a = 1/5.
This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3
=> Equation of this line: y = (1/5)x + 3
Hope this helps!
:)
The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Given is a line that passes through (0, 3) and is perpendicular to the
line → y = - 5x - 4
Since the line is perpendicular to the line → y = - 5x - 4. We can write -
m[L] = -1/-5
m[L] = 1/5
Assume that the equation of the line is -
y = m[L]x + c
y = x/5 + c
Since the line passes through the point (0, 3), we can write -
3 = 0 + c
c = 3
The final equation of the line will be -
y = x/5 + 3
Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
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I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work
Answer:
65
Step-by-step explanation:
multiply 1/2 and 10 to get 10/2
10/2(9.4+3.6)
divide 10 by 2 to get 5
add 9.4 and 3.6 to get 13
5 X 13
multiply to get 65
What is the equation of the line passing through the points two (2,-1) and (5,-10) in slope intercept form
Answer:
y=-3x+b
Step-by-step explanation:
Find slope
-1-(-10)/2-5
9/-3
-3 is slope
y=-3x+b
substitute (2,-1)
-1=6+b
b=-7
y=-3x-7
Tessa and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?
Answer:
The amount of water is each balloon should be:
A = 6/20 =0.3 liters
Hope this helps!
:)
Answer:
0.3
Step-by-step explanation:
.
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
Step-by-step explanation:
-6x + 6y = -12
6x + 6y = -36
12y = -48
y = -4
3x - 12 = -18
3x = -6
x = -2
(-2, -4)