Answer:
1, 3
Step-by-step explanation:
1st number = x
2nd number = x+2
x+x+2=6x-2
2x+2=6x-2
4=4x
x=1
so the first number is 1 and the second number is 3.
CHECK: The sum of one and three is four, which is two less than six times one.
Students surveyed boys and girls separately to determine whether they wanted outdoor
recess or indoor recess. After completing the boy survey, it was determined that for
every 17 boys who wanted outdoor, 20 boys wanted indoor. The girl survey had a ratio of
3:2 of outdoor to indoor. If the same number of boys and girls were surveyed, and 85
boys chose outdoor, how many girls do you think chose outdoor?
Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:
[tex]\frac{20}{17}[/tex]
Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction
[tex]\frac{x}{85}[/tex]
Equate both fractions
[tex]\frac{20}{17} = \frac{x}{85}[/tex]
Multiply both sides by 85
[tex]85 * \frac{20}{17} = \frac{x}{85} * 85[/tex]
[tex]85 * \frac{20}{17} = x[/tex]
[tex]\frac{1700}{17} = x[/tex]
[tex]100 = x[/tex]
[tex]x = 100[/tex]
This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
Recall that the question says the same number of boys and girls were surveyed
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;
[tex]Outdoor = \frac{3}{3 + 2} * Total[/tex]
[tex]Outdoor = \frac{3}{3 + 2} * 185[/tex]
[tex]Outdoor = \frac{3}{5} * 185[/tex]
[tex]Outdoor = \frac{555}{5}[/tex]
[tex]Outdoor = 111[/tex]
Hence, the number of girls that chose outdoor is 111
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles
Answer:
40 + 8pi
Step-by-step explanation:
1/2 circle = 1/2 pi r-squared = 1/2x4x4x pi = 8pi
triangle = 1/2bh = 1/2x8x10 = 40
total area = 40 + 8pi
Please help out ASAP :)
Which expression is equivalent to 7square root x^2/5 square root y^3? assume y≠0
Answer:
A= (x^2/7)(y^-3/5)
Step-by-step explanation:
7√x^2 / 5√y^3
7√x^2
=(x^2)1/7
=x^2/7
5√y^3
=(y^3)1/5
=y^3/5
Substitute into the expression
(x^2/7) / (y^3/5)
=(x^2/7)(y^-3/5)
Answer:
A
Step-by-step explanation:
edge 2020
The graph of the function F(x) = 2x^2-8 is changed. The new graph can be
represented by the function F(X)= -2x^2-4.
Which of the following describes the changes made to the graph of the
original function?
Answer:
The graph now opens in the opposite direction. The y intercept is shifted up 4.
Step-by-step explanation:
F(x) = 2x^2-8
F(X)= -2x^2-4
We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)
We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.
Attacthed is both of the equations graphed to help you visualize this shift!
WILL MARK BRAINIEST IF CORRECT FOR THE FIRST TO ANSWER!!! PLEASE HELP!!!
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Step-by-step explanation:
6,5,8,2,8,6,5,8,8
To find the mean you MUST add all of the numbers together
then divide by the number of numbers
this will be your mean
Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same since the absolute value is NEVER negative....
then you need to find the data value of the entire data set
then subtract the mean from that number!
Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line? On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line is drawn from point B to point D. D prime = B. On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line splits the image into 2 equals parts with length of 1.4 centimeters. On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. Point D prime is at (2, 6). On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A vertical dashed line is drawn through the image.
Answer:
This is probably late but the answer is >> BStep-by-step explanation:
Answer:
1 ,2 , 0.5
Step-by-step explanation:
edgy2021
What is the simplified form of?
Answer:
-2√7(-5.291503)
Step-by-step explanation:
combine like terms
Answer:
[tex] - 2 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]
We subtract 3 and 5 and not the numbers under the radical.
The number under the radical can be changed if multiplied or divided.
3-5=-2 or
-5+3=-2
It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.
Hope this helps ;) ❤❤❤
Using this coin and a number cube, which simulation would help you answer this question? A professor found that her students pass the final exam about 50% of the time. She gives the exam during the fall, spring, and summer terms. If she has 30 students during each term and you choose a student at random, what are the chances that the student passed the exam during the fall term.
Answer:
didnt understand the quedtion clearly
James has a magic hat full of slips of paper with numbers on them. He gives the hat to his friend Anna who pulls 4 numbers out of the hat: $3$, $-4$, $-2$ and $0$. James then pulls 3 numbers out of the hat: $2$, $4$, and $1$. What is the sum of all of the numbers that James and Anna pulled out of the magic hat?
Answer:
4
Step-by-step explanation:
Sum of numbers that Anna pulled = 3 +(-4) + (-2) + 0
= 3 + (-6)
= (-3)
Hint: If two numbers have same sign add & the result will have the same sign Eg: (-4) + (-2) = -6
If two numbers have different sign, subtract and the result will have the sign of bigger number. Here sign 6 is ' - ', so the result is (-3)
Sum of numbers that James pulled = 2 + 4 + 1
= 7
Sum of all numbers = (-3) + 7
= 4
Answer:
4
Step-by-step explanation:
Sum of numbers that Anna pulled= 3 +(-4) + (-2) + 0
= 3 + (-6)
= (-3)
Sum of numbers that James pulled = 2 + 4 + 1
= 7
Sum of both = (-3) + 7
= 4
HOPE IT HELPS!
The original price of a pair of shoes at Nike Outlet is 109.99 and there is a mark down of 25% because the shop is having a black Friday sale what is the amount of money being taken off the original price?
Answer:
27.50
Step-by-step explanation:
109.99=100%
10.999=10%
21.998=20%
27.4975=25%
so they are taking £27.4975 off the original price meaning the new price is £82.4925 but, because it is money, you would need to round this to two decimal places leaving the new price as £82.49
given f(x) = x -2, if the domain is 5, find the range
Answer:
Step-by-step explanation:
I don't say u must have to mark my and as brainliest but if it has really helped u then plz don't forget to thank me.....
Marty says the probability of the high school team winning the hockey game is 35%.
Karim says the probability is 2/5. Who thinks the event is more likely, Marty or Karim?
Explain
Answer:
Karim
Step-by-step explanation:
1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.
2. Your new fraction should be 40/100 also known as 40%.
3. Compare who's probability is more likely.
4. The answer will be (40%) Karim's.
Answer:
Karim
Step-by-step explanation:
35% is equivalent to 0.35, whereas 2/5 is equivalent to 0.40. Karim is correct; 0.40 represents a greater probability than does 0.35.
A freight train is carrying goods across the country. The number of gallons of fuel it has used varies directly with the distance it has traveled. See the graph
below.
Answer:
0.125 miles per gallon.
Step-by-step explanation:
After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.
---------------------
Extra
---------------------
IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.
What is the solution to the equation below? log 20xrise 3-2logx=4
Answer:
[tex]x = 500[/tex]
Step-by-step explanation:
Given
[tex]log20x^3 - 2logx = 4[/tex]
Required
Solve for x
[tex]log20x^3 - 2logx = 4[/tex]
Using law of logarithm which says;
[tex]nlogx = logx^n[/tex]
The expression becomes
[tex]log20x^3 - logx^2 = 4[/tex]
Also, using laws of logarithm which says:
[tex]loga - logb = log\frac{a}{b}[/tex]
The expression becomes
[tex]log(\frac{20x^3}{x^2}) = 4[/tex]
[tex]log(20x) = 4[/tex]
Also, using laws of logarithm which says
[tex]If\ loga = b\\then\ a = 10^b[/tex]
The expression becomes
[tex]20x = 10^4[/tex]
[tex]20x = 10000[/tex]
Divide through by 20
[tex]\frac{20x}{20} = \frac{10000}{20}[/tex]
[tex]x = \frac{10000}{20}[/tex]
[tex]x = 500[/tex]
Answer:
500
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Hey there! :)
Answer:
4.
Step-by-step explanation:
Parallel lines contain the same slope. A line that is parallel to y = 4x + 2 has the same slope.
In this instance, a parallel line would contain a slope of m = 4.
Answer:
4
Step-by-step explanation:
Parallel lines have same slope.
Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth
Answer:
47.7 square units
Step-by-step explanation:
It is important to know that,
The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)
In the question above, we are given the following values:
Where : a = 8, b = 12, θ = C = 84°
Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.
How many distinct triangles can be drawn using three of the dots below as vertices?
Answer:
The number of distinct triangles that can be drawn using the dots = 6
Step-by-step explanation:
The parameters given are;
Two rows of three evenly spaced dots
To form a triangle, two dots will be selected from 1 row while the third dot will be selected from the other row
The number of ways of selecting the dots are therefore;
₃C₂ × ₃C₁ = 3 × 3 = 9 triangles
The same procedure can be done from the top row to give another 9 triangles
Which gives the total number of triangles = 18 triangles
The number of distinct triangles are found as follows;
Given that triangles obtained from the top row are similar to those of the bottom row, we reduce the range from which the distinct triangles can be found to 19 - 9 = 9 triangles
Of the 9 triangles formed by one dot on top and two dots on the bottom, the two adjacent dots of the three dots which are on the left and on the right of the lower row of dots, form the same three triangles with the three dots on the top row
Therefore, since there are 3 sets of two dots forming 9 triangles, each pair of dots can form 3 triangles, and as mentioned, 2 pairs of dots of the 3 pairs form the same triangles making the distinct triangle = 9 - 3 = 6.
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 , will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Yes, he will have enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).
He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].
From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).
The lateral surface area of the cylinder = [tex]2\pi rh[/tex]
where, r = radius of the cylinder = [tex]\frac{\text{Diameter}}{2}[/tex] = [tex]\frac{1.1 }{2}[/tex] = 0.55 m
h = height of the cylinder = 1.4 m
[tex]\pi[/tex] = 3.142 (given)
So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]
= 4.84 [tex]\text{m}^{2}[/tex].
Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;
To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml
Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.
This means that yes, he will have enough paint to cover the tank with one layer of paint.
can you please answer #31?
Answer:
p > -3
Step-by-step explanation:
the open circle means that its either more than or less than
the closed circle means less than or equal to or more than or equal to
the point also landed on -3
hope this helps
Answer:
Its c. p > -3
Step-by-step explanation:
becuase the open circle mean less then or greater then and the way the arrow is facing means p is bigger !!
Choose the correct answer. Which relation is displayed in the graph?
{(–3, –2), (–1, 1), (1, 0), (2, 3), (4, –2)}
{(–2, 3), (1, 1), (0, 1), (3, 2), (–2, 4)}
{(–3, 2), (–1, –1), (1, 0), (2, 3), (4, 2)}
{(–3, –2), (1, –1), (0, 1), (2, 3), (4, –2)}
Answer:
A) (-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)
Step-by-step explanation:
From the graph, we have 5 different points.
To write out the coordinates of a point from the graph, you write it in the format (x, y),that is, the x position comma the y position.
Let's start from the left hand side, we have:
(-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)
These are the points displayed on the graph.
Notice that they are arranged according to increasing x coordinates.
PLEASEEE HELPP!!! BRINLIEST TO FIRST ANSWER!!
The dance team has 9 dancers to perform different roles in each performance. The probability that the team selects the same order as last performance is 1 divided by 362880 . -Explain where each the numerator and denominator come from. -What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position? Assume these are not the same people. -Create a question, related to the dancers, where you use the indirect method, n(A’), to solve.
Answer:
The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.
Step-by-step explanation:
It is provided that a dance team has 9 dancers to perform different roles in each performance.
The number of arrangements of the 9 dancers in the different roles is:
Number of order of performance = 9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880
If the team selects the same order as last performance, then the possible number of arrangements is, 1.
The probability that the team selects the same order as last performance is:
[tex]=\frac{1}{362880}[/tex]
Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.
So of the 9 positions the 1st and 3rd are occupied.
There are a remaining 7 positions to be filled by 7 dancers.
That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:
[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]
Thus, the probability is 1/72.
(08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 1 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (3, −2) (−2, 3) (−3, 0)
Answer:
(3, -2).
Step-by-step explanation:
d + e = 1
−d + e = −5 Adding the 2 equations:
0 + 2e = -4
e = -2.
Plug this into the first equation:
d + -2 = 1
d = 1 + 2
d = 3.
Check these results in the second equation:
-3 + -2 = -5 - checks out.
Two brothers, Pedro and John, have a straight log in their backyard. Pedro wants the log cut into 24 equal parts, so he paints red lines on the log and asks a lumberjack to cut the log on the painted lines. John wants the log cut too, but into 18 equal parts. So before the lumberjack arrives, he paints yellow lines on the log, with some yellow lines painted over red lines. The lumberjack arrives and cuts the log on the painted lines of any color. How many cuts did the lumberjack make?
Answer:
35 cuts or 36 parts
The lumberjack cuts 7 numbers of the log on the painted lines.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let length of the log on the painted lines = 72 units
Pedro wants the log cut into 24 equal parts,
⇒ 72/24 = 3 units
John wants the log cut into 18 equal parts,
⇒ 72/18 = 4 units
Hence, the lumberjack cuts 7 numbers of the log on the painted lines.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of 5.8 nails. Company B packages roofing nails in boxes that are normally distributed with a mean of 252 nails and a standard deviation of 3.4 nails. Which company is more likely to produce a box of 260 roofing nails? Explain your answer using z-scores.
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a positive z score of approximately 2.35 compared to company A with a z score of -2.76.
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
Answer:
g(-2) = 0
Step-by-step explanation:
Given
g(x) = x^2 + 2x
we have to find value of g(-2)
to get that we
need to x = -2 in g(x)
g(x) = x^2 + 2x
g(-2) = (-2)^2 + 2*(-2) = 4 -4 = 0
Thus, g(-2) = 0
Let a=1/5 b=1/2 c=3, and let d= -1/4 Calculate 1 divided by a times 1/c + 1/ b times d
Answer:
[tex]\frac{7}{6}[/tex]
Step-by-step explanation:
Given
a=1/5
b=1/2
c=3
d= -1/4
Required
[tex]\frac{1}{a} * \frac{1}{c} + \frac{1}{b} * d[/tex]
Substitute the values of a, b, c and d in the expression above
[tex]\frac{1}{\frac{1}{5}} * \frac{1}{3} + \frac{1}{\frac{1}{2}} * \frac{-1}{4}[/tex]
Simplify the above expression
[tex]1/{\frac{1}{5} * \frac{1}{3} + 1/{\frac{1}{2}} * \frac{-1}{4}[/tex]
[tex]1*{\frac{5}{1} * \frac{1}{3} + 1*{\frac{2}{1}} * \frac{-1}{4}[/tex]
[tex]5 * \frac{1}{3} + 2 * \frac{-1}{4}[/tex]
[tex]\frac{5}{3} + \frac{-2}{4}[/tex]
[tex]\frac{5}{3} - \frac{2}{4}[/tex]
Take LCM
[tex]\frac{20 - 6}{12}[/tex]
[tex]\frac{14}{12}[/tex]
Divide the numerator and denominator by 2
[tex]\frac{7}{6}[/tex]
Hence, [tex]\frac{1}{a} * \frac{1}{c} + \frac{1}{b} * d[/tex] = [tex]\frac{7}{6}[/tex]
PRE CALC, help please
Answer:
option C is correct ...Step-by-step explanation:
Because, x= -1 and x =3 are the solution of function.....Find the missing side length in the attached image.
Answer:
24 units.
Step-by-step explanation:
we can use concept of Thales intercept theorem in this problem
according to this theorem, if there are n lines parallel to each then and two transverse line drawn such that they intersect the three parallel line given the problem, then the parallel line divides the transverse line equal proportion.
For this problem
For the line having length 45, one of the length is 25 units,
then other length will be 45-25 = 20 unit
Now using Thales intercept theorem
30/? = 25/20
30/? = 5/4
? = 30*4/5 = 24
Thus, missing side length will be 24 units.
Find the slope of the line on the graph .
Answer: the slope is -3/2
Step-by-step explanation: The slope is negative, because the line is pointing downwards. A way I learned it that there's a skier and going up the line/mountain is "puff puff positive" and skiing down the hill is "nice and easy negative."
To figure out the exact number, take a point on the line. I chose (2,-1) I then moved down 3 ( going down makes it negative) spaces, and right two space to get to the next point. This is known as rise over run.
Hope that helped!
Answer:
[tex]-1.5[/tex]
Step-by-step explanation:
So we are asked to find the slope of the line on the graph, so let's find the two points that are actually hitting a part of the graph instead of the middle.
Looking at it, I see (-2,5) and (0,2).
So now, how many squares do we have to move to get from (-2,5) to (0,2)?
Well, we have to move 3 squares down, and 2 squares to the right.
Follow the rise over run method :
[tex]\frac{rise}{run} = \frac{-3}{2}[/tex]
Divide -3 by 2 :
[tex]-1.5[/tex]
-1.5 is the slope of the line.