Answer: Kim is 16 and Alan is 20
Kim => x
Alan => y
Kim is 4/5 as old as Alan => [tex]x=\frac{4}{5}y[/tex]
In four years, she will be 5/6 as old as he will be => [tex]x+4=\frac{5}{6}(y+4)[/tex]
Solving the system we obtain x=16 and y=20
Point O is the center of dilation. Triangle X Y Z is dilated to create triangle X prime Y prime Z prime. The length of O Z is 2 and the length of Z Z prime is 4. The length of side X prime Y prime is 9 and the length of side Y prime Z prime is 12. Triangle XYZ was transformed by DO,3. What is the length of side XY? 1.5 4.5 3 18
9514 1404 393
Answer:
3
Step-by-step explanation:
The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.
Answer:
short answer middle picture :)
Step-by-step explanation:
directions for constructing the centroid of a triangle?
Step-by-step explanation:
1.Draw a triangle
2. Measure one of the sides of the triangle
3. Place a point at the midpoint of one of the sides of the triangle.
4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.
5. Repeat steps 2-4 for the remaining two sides of the triangle.
A researcher wanted to show that math test scores increased for students who attended extra study sessions for a particular school. The study sampled 5 honors students who attended the study session. Explain why this report is not reliable.
Answer:
This report is not reliable because:
A real increase could be proved with the sample of all the students who attended the study session, due to mustn't be many students (I believe the students regularly doesn't like the extra study sessions), where wouldn't just have honors students, but the regular students too, who probably would actually need increasing their math scores.
Step-by-step explanation:
To identify if a students population actually increased their math tests scores by a particular reason, the researcher should take a sample from the regular or bad students that attended to the extra session, or at least an equal sample with the same amount of good students and regular students ( or bad students), in this form he would compare the results in each individual and identify if it actually depended on the extra study sessions or from other reasons how study time in the house, learning disorders or others.
Simplify. PLEASE HELP
Answer:
0
Step-by-step explanation:
we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)
The (x-y) cancel out so the fraction becomes (x+y)
The two (x+y) also cancel out so it becomes 0
Answer:
0
Step-by-step explanation:
[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]
Hope this helps!
1. Graph the function
Answer:
You should use desmos graphing calculator. It really helps
Step-by-step explanation:
Interpret the average rate of change of -14/3 that
you found previously. What does this mean in
terms of the waterslide, from x = 0 to x = 15?
Answer:
On average, the slide drops 14 feet for every 3 feet of horizontal distance.
On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
It is given in the question that Interprets the average rate of change of -14/3 that you found previously.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
To know more about the average rate of change follow
https://brainly.com/question/8728504
#SPJ6
-3x-10=32 Icouldn't find the answer.
Answer:
x = -14
Step-by-step explanation:
-3x - 10 = 32
Add 10 on both sides
-3x = 42
divide both sides by -3 to isolate x
x = 42/-3
x = -14
Answer: -14
Step-by-step explanation:
-3x - 10 = 32
-3x = 32 + 10
x = -42/3 = -14
Which graph represents the function f(x)=3x5^x
Answer:
top right corner
Step-by-step explanation:
a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?
Answer:
6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!
Step-by-step explanation:
Simplify: 5x(2x-3y)
o 10x7 - 15xy
10x -8y
10.x2 -3y
10x7 - 15y?
Hey!!
5x(2x-3y)
=5x*2x- 5x*3y
= 10x^2-15xy
So the right answer is of option A
hope it helps.....
Answer:
the answer is 10x^2-15xy
Step-by-step explanation:
i cant make it any simpiller
Identifying parallel and perpendicular lines
Answer:
C (Third answer)
Step-by-step explanation:
9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)
Answer:
B. (2,5)
Step-by-step explanation:
Given
Points: (6,3), (-2,7)
Required
Midpoint
Midpoint is calculated as follows:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex](x_1,y_1) = (6,3)[/tex]
[tex](x_2,y_2) = (-2,7)[/tex]
So,
[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]
By substituting these values in the given formula
[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]
[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]
[tex](x,y) = (2,5)[/tex]
Hence, the midpoint of the line segment is (2,5)
DEllAC AD=BE AB=16 BC=24
BE-? BD-?
Answer:
BE = 3.6 units
BD = 12.4 units
Step-by-step explanation:
From the picture attached,
Since DE║AC, ΔBDE and ΔABC will be similar.
In these similar triangles corresponding side will be in the same ratio.
[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]
[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]
[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]
1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]
1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]
1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]
1 = [tex]BE(\frac{3+2}{48})[/tex]
BE = [tex]\frac{18}{5}[/tex]
BE = 3.6 units
Therefore, AD = BE = 3.6 units [given]
Now BD = AB - AD
= 16 - 3.6
= 12.4 units
1. The table shows the number of miles
two salespeople drove each day for work
last week.
Mr. Smith
128
150
118
85
166
Miles Driven
Day Ms. Johnson
Mon.
115
Tue.
97
Wed.
86
Thu.
48
Fri.
181
Sat.
127
25
Select THREE sentences that are true.
A. Mr. Smith drove 6 miles per day
more than Ms. Johnson.
B. Ms. Johnson drove 3 miles per day
more than Ms. Johnson.
C. A reasonable prediction is that both
salespeople will drive about 80 miles
each day.
D. A reasonable prediction is that both
salespeople will drive about 110
miles each day.
E. If both salespeople work 250 days
this year, they will drive about
20,000 miles for this year.
F. If both salespeople work 250 days
this year, they will drive about
27,500 miles for this year.
Answer:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
Step-by-step explanation:
Given the miles driven by the two salesman.
Mr Smith
128 , 150 , 118 , 85 , 166 and 25
[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]
Ms. Johnson
115,97,86,48,181 and 127
[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]
Therefore:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
110 X 250=27,500 miles
PLS HELP MY HOMEWORK IS DUE SOON
Answer:
Seems like a personal issue
Step-by-step explanation:
Hint: Use your Brain!
Please help quickly
Answer:
41.47
Step-by-step explanation:
So to find the price after the discount, multiply 48 by 0.8
38.4
To find the amount after tax, multiply by 1.08
41.472 ≈ 41.47
Answer:
$41.47
Step-by-step explanation:
Original price: $48.00
Discount: 20%
20% of $48 = 20% * $48 = 0.20 * $48 = $9.60
Price after 20% discount = $48.00 - $9.60 = $38.40
Tax: 8%
8% of $38.40 = 0.08 * $38.40 = $3.07
Price after tax: $38.40 + $3.07 = $41.47
Answer: $41.47
What is the radius of a circle whose equation is x2+y2+8x−6y+21=0? Please just copy and paste this into brainly, I ran out of skips
Answer: 2
Step-by-step explanation:
Answer:
The Radius of the circle of center (-4, 3) is 2.
Radius = 2
Step-by-step explanation:
This is the general form:
[tex]x^2+y^2+8x-6y+21=0[/tex]
Let's convert this to standard form:
[tex]x^2+y^2+8x-6y+21=0[/tex]
[tex]x^2+y^2+8x-6y=-21[/tex]
Group/organize [tex]x[/tex] and [tex]y[/tex] terms:
[tex]x^2+8x+y^2-6y=-21[/tex]
[tex](x^2+8x)+(y^2-6y)=-21[/tex]
Now, let's begin the process to complete the square in both parentheses.
[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]
[tex](x+4)^2+(y-3)^2=4[/tex]
Fill in the table to help you make a conjecture about the geometric sequence An=(0.5)n-1
N=1,2,3,4,5
A1=1,0.5,0.25,W,0.0625
Sn=1,1.5,x,y,1.9375
W=? X=? Y=?
Answer:
W = 0.125
X = 1.75
Y = 1.875
Step-by-step explanation:
The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).
Therefore each new term is found by multiplying the previous one by 0.5:
A1 = 1
A2 = 0.5
A3 = 0.25
A4 = 0.125 = W
A5 = 0.0625
And the partial sums are the additions of the terms until the last one considered:
S1 = 1
S2 = 1.5
S3 = 1.75 = X
S4 = 1.875 = Y
S5 = 1.9375
therefore,
W = 0.125
X = 1.75
Y = 1.875
Answer:
The next answers are approaching a number and 2
Step-by-step explanation:
!!! Help
What is the measurement of angle A to the nearest degree???
Answer:
51 = A
Step-by-step explanation:
Using the law of sines
sin 95 sin A
------------- = -----------
9 7
Using cross products
7 sin 95 = 9 sin A
Divide each side by 9
7/9 sin 95 = sin A
Take the inverse sin of each side
sin ^-1 ( 7/9 sin 95) = A
50.78854367= A
To the nearest degree
51 = A
A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000
The fair price for the house is $205.88.
The correct answer is option A.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the fair price for the house, we can use the equation of the line of best fit provided:
y = 0.074x + 50.48
where y represents the price of the house and x represents the square footage of the house.
We can substitute 2100 for x to find the price of the house.
y = 0.074(2100) + 50.48
y = 155.4 + 50.48
y = 205.88
Therefore,
The fair price for the house is $205.88.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
The Perfect square numbers between 100 and 200 are ____
Pls help.
Step-by-step explanation:
The perfect square numbers between 100 and 200 are :
10^2 =100
11^2 =121
12^2 =144
13^2 =169
14^2 =196
Two trains leave the same station at the same time
and travel in opposite directions. One train travels
at 80 kilometers per hour and the other at 100
kilometers per hour. In how many hours will they
be 900 kilometers apart?
2 hours
3 hours
4 hours
5 hours
Answer:
D. 5 hoursStep-by-step explanation:
rt=d
rt+rt=900
80t+100t=900
180t=900
18t=90
2t=10
t=5
5 hours
80*5+100*5=900
A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.
A deck of cards has 3 pink, 6 purple, and 4 green cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked
P(the first card is green and the second card is -purple)
With explanation
Answer:
2/13
Step-by-step explanation:
So firstly, know that there are 13 cards in the deck (3 + 6 + 4).
Therefore, the probability of drawing a green is 4/13.
After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.
To find compound probability, multiply the probabilities of the two separate events happening together:
4/13 * 6/12
= 2/13
Hope this helps! Please contact me if you have any questions :)
Which of the following represents a 1.00 M (M = mol/dm3) aqueous solution of glucose (C6H12O6)?
A. 180 g glucose per 1000 cm3 solution
B. 10.0 g glucose per 10.0 cm3 water
C. 90.0 g glucose per 500 cm3 water
D. 0.100 g glucose per cm3 solution
Answer:
Option C. 90.0 g glucose per 500 cm3 water
Step-by-step explanation:
1.00 M (mol/dm3) aqueous solution of glucose (C6H12O6) means that 1 mole of glucose is dissolved in 1dm³ (1000cm³) of water.
The concentration of a substance is defined as the mole of solute per unit volume of solvent (water) in dm³.
Option A is wrong since it state: 180g of C6H12O6 per 1000cm³ of solution. Concentration is always expressed as per 1000cm³ or dm³ of water.
For option B:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 180g/mol
Mass of C6H12O6 = 10g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 10/180 = 0.056 mole.
Volume of water = 10cm³ = 10/1000 = 0.01dm³
Concentration = mole /Volume
Concentration = 0.056/0.01 = 5.6mol/dm³
Option B is wrong
For option C:
We shall determine the number of mole of C6H12O6, followed by the concentration.
This is illustrated below:
Molar mass of C6H12O6 = 180g/mol
Mass of C6H12O6 = 90g
Mole = Mass /Molar Mass
Mole of C6H12O6 = 90/180 = 0.5mole
Volume of water = 10cm³ = 500/1000 = 0.5dm³
Concentration = mole /Volume
Concentration = 0.5/0.5 = 1mol/dm³
Option C is correct.
For option D is wrong as well as it states 0.1g of C6H12O6 per cm³ of solution. Concentration is always per 1000cm³ or dm³ of water.
From the above illustrations, option C is the correct answer.
Can someone help me on this math question?
Answer: 155º I think
At Sami's Shoe Warehouse, it takes 4 over 5 day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? (5 points)
6 days
8 days
11 and 1/4 days
12 and 1/2 days
HELP AASAP BRAINLIEST WILL BE AWARDED
Answer:
8 days
Step-by-step explanation:
if it takes 4/5 of a day to complete 1/10 of the order of sneakers, you are trying to determine how long it will take to get to 10/10.
so first we can determine what we have to multiply 1 by to get 10.
the answer is 10, so we can multiple by 10 to determine the amount of days it took:
4/5 x 10 and 1/10 x 10
therefore: 4/5 x 10 = 8
meaning, it would take 8 days to complete an entire order of sneakers.
Solve for d.
-10 =-2+1/2d
A d=-24
B. d=-16
C. d= -6
D. d=-4
Answer:
B.) -16
Step-by-step explanation:
-10=-2+1/2d
-8=1/2d
d=-8/1/2
d=-16
So B
Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?