Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To reduce the fraction to the lowest term, we divide the like term by the GCF of its numerator and denominator.
Here,
As 4 and 8 have the GCF as 4 itself. We divide both the numerator and denominator with the GCF (4).
Hence,
[tex]\frac{4}{8}\\=\frac{4}{8}/\frac{4}{4} \\=\frac{4/4}{8/4} \\=\frac{1}{2}[/tex]
Enter a response to each question.
1. Dear Math Helper,
I am in need of your help! I have a job where I design games. I am designing a game that involves a playing area
with 12 equal sections. Players randomly end up in one of the sections.
1 labeled one section, "Gain 40 points," four sections, "Gain 10 points," and the rest, "Try Again." Also, each
player automatically gives up 10 points with each move,
After trying out the game on some volunteers, I noticed that players tend to lose points in the long run. Without
changing the sizes of the sections, what adjustments can I make so that players are likely to earn at least one
Point in the long run?
Answer: Let them start off with a certain amount of money. So before they make a move they would have some points ahead of time.
Step-by-step explanation: Hope this helped!! :)
Well, you can actually increase the number of points for those sections and spread them across the sections so that as the players get in the long run, some points will be available for them.
What is video game?Video game refers to a device which is electronically controlled and played and involves the controlling of images displayed on the screen. Video games has really improved as technology keep advancing.
Thus, from the question above, if players will not lose points at the long run, then it's necessary points need to increase at the long run.
Learn more about video game on https://brainly.com/question/908343
#SPJ2
Let them start off with a certain amount of money. So before they make a move they would have some points ahead of time.
(9a^2 + 7a + 8) - (2a^2 + 5a + 1)
Answer: 7a^2+2a+7
Step-by-step explanation:Distribute the Negative Sign:
=9a2+7a+8+−1(2a2+5a+1)
=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)
=9a2+7a+8+−2a2+−5a+−1
Combine Like Terms:
=9a2+7a+8+−2a2+−5a+−1
=(9a2+−2a2)+(7a+−5a)+(8+−1)
=7a2+2a+7
The claim is that the standard deviation of the speeds of drivers in Bradford is 8 mph. An experienced driver feels that this is very low. If a random speed check is conducted for 50 drivers, the standard deviation is 10.5 mph. Can we reject the null at
Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Item 8
Calculator
Quadrilaterals LMNO and STUV are similar.
What is the value of x in inches?
6.6 in.
8.2 in.
22.9 in.
27.1 in.
Answer: 6.6
Step-by-step explanation:
Ayo!!
First you use the formula SF=N/O. The new is the big triangle. The Old is the small triangle. Next you tick the sides of each triangle. So lets say 4.1 will be 1 tick and 2.2 will be 2 ticks. Now the old triangle is done now to the new triangle. 12.3 is the 1 tick and x is the 2 ticks.
Lets set up the formula. N-/N--= O-/O--= 12.3/x and 4.1/2.2. Now u cross multiply. 4.1x=12.3*2.2=4.1x=27.06. Then you divide 4.1x by 4.1 and 27.06 by 4 aswell. 4.1x divided by 4.1 cancel each other out so you are left with 27.06 divided by 4.1 and that equals 6.6. So the answer is 6.6.
PS: If i did the new and old triangles wrong just reverse them and just do it like I explained it.
Hope this helped! :)
Answer:
6.6
Step-by-step explanation:
i took the test
A teacher will select 7 students in a class of 10 to participate in a social experiment. How many different groups are possible?
Answer:
the answer is 7/10=0.70
Answer:
7 gropus thats how manh
Options
-0
- negative
- undefined
- positive
Answer:
Positive
Step-by-step explanation:
the line isn’t in the negative side (going towards the right) so it’s positive
Which of the following are valid names for the given triangle? Check all that
apply.
Answer:
B, E and F hope this is correct
(2/3x + 2) - (1/3x - 4 )
What is the product? 2x+8 x2 + 3x-4 x(x-4)(x-1) 20x+4) 2 (x+4)(x-4) 2x(x-1) 2x(x+4)
=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2
step by step
(2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x(x+4)
=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x+4)
=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x)+((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(4)
=−640x10+3840x9+4544x8−58904x7+91128x6−40608x5+128x4+512x3−2560x9+15360x8+18176x7−235616x6+364512x5−162432x4+512x3+2048x2
=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2
The value of 8 dimes and 5 pennies is what percentage of a dollar
Answer: 85% because 1 dime = 10 cent. 10x8=80
80+5=85
85% of 100
Step-by-step explanation:
A recipe needs 3/4 cups of sugar to make 24 cookies.How much will be needed to make 36 cookies?
Answer:
Step-by-step explanation:
36 cookies = 1.5 times 24 cookies. therefore 1.5 times ¾ c of sugar will be required. Total sugar needed for 36 cookies is 9/8 c or 1.125 c.
Theo vegetable garden
Answer:
The area of the garden is 1600
Step-by-step explanation:
BTW your answer is incomplete but if your are asking Theo's vegetable garden has an area of 40 square feet. what is the area, in square feet, of the pat of the garden that is planted with carrots? Then it is 1600! Plz Mark Brainliest Thanks!
Two stores are having a donut sale. Donald's Donut Shop is selling 10 donuts for $9.00. Sunrise donut company is selling 8 donuts for $7.00.
a. How much does a donut cost at Donald?
b. How much does a donut cost at Sunrise?
c. Who has the better deal on donuts?
Answer:
A. A donut cost 0.9 at donalds shop
B.a donut cost 0.875 at sunrise
C.the better deal is Sunrise
Step-by-step explanation:
3/45/6 simply this complex fraction
Answer:
1/15/2
Step-by-step explanation:
Divide all the numbers by 3 (the lowest common denominator)
Answer:
90
Step-by-step explanation:
3/45×1/6=3/270=90
Current Attempt in Progress Present value. On the first day of your college career you decide that you want to make one deposit into a mutual fund so that exactly four years later you have enough to purchase a car costing $30000. Given that the account will generate a yield of 4.7% interest compounded monthly, what should your initial deposit be in order to have that big pot of money at graduation? Round the answer to two decimal places. Check your answer by plugging into initial equation to be sure you would not be short of $30000. _____________ $
Answer:
You will need to invest $24,867.52 at the beginning to reach the future value of $30,000.00.
Step-by-step explanation:
a) Data and Calculations:
Future value for the purchase of a car = $30,000
Interest rate = 4.7%
Monthly interest = 0.39167% (4.7%/12)
Period of interest = 48 months (12 * 4)
FV (Future Value) $30,000
PV (Present Value) $24,867.52
N (Number of Periods) 48.000
I/Y (Interest Rate) 0.392%
PMT (Periodic Payment) $0.00
Starting Investment $24,867.52
Total Principal $24,867.52
Total Interest $5,132.48
help me! :( will appreciate any type of help
Answer:32
Step-by-step explanation: (2+3x)= 98 then solve
2400 people attended a football game. 1728 of the people attending supported the home team, while 672 supported the visiting team. What percentage of people attending supported the home team?
Answer:
Percentage= 72%
Step-by-step explanation:
Giving the following information:
Total population= 2,400
People supporting the local team= 1,728
To calculate the percentage of people supporting the local team, we need to use the following formula:
Percentage= (people supporting / total population)*100
Percentage= (1,728/2,400)*100
Percentage= 72%
Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.
Answer:
[tex]k = 5[/tex]
Step-by-step explanation:
Given
[tex]g(x) = f(x) + k[/tex]
Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where x and y are two corresponding values:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (0,-3)[/tex]
The slope (m) is:
[tex]m = \frac{-3- 1}{0 - 1}[/tex]
[tex]m = \frac{-4}{- 1}[/tex]
[tex]m = 4[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 4[/tex] and [tex](x_1,y_1) = (1,1)[/tex]
[tex]y - 1 = 4(x - 1)[/tex]
[tex]y - 1 = 4x - 4[/tex]
Make y the subject of formula
[tex]y = 4x - 4 + 1[/tex]
[tex]y = 4x - 3[/tex]
So:
[tex]f(x) = 4x - 3[/tex]
Next, we determine the equation of f(x)
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where x and y are two corresponding values:
[tex](x_1,y_1) = (-1,-2)[/tex]
[tex](x_2,y_2) = (0,2)[/tex]
The slope (m) is:
[tex]m = \frac{2- (-2)}{0 - (-1)}[/tex]
[tex]m = \frac{2+2}{0+1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m = 4[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 4[/tex] and [tex](x_1,y_1) = (-1,-2)[/tex]
[tex]y - (-2) = 4(x - (-1))[/tex]
[tex]y + 2 = 4(x +1)[/tex]
[tex]y + 2 = 4x +4[/tex]
Make y the subject of formula
[tex]y = 4x + 4 - 2[/tex]
[tex]y = 4x + 2[/tex]
So:
[tex]g(x) = 4x + 2[/tex]
Recall that
[tex]g(x) = f(x) + k[/tex]
Make k the subject
[tex]k = g(x) - f(x)[/tex]
Substitute values for g(x) and f(x)
[tex]k = 4x + 2 - (4x - 3)[/tex]
[tex]k = 4x + 2 - 4x + 3[/tex]
[tex]k = 4x - 4x+ 2 + 3[/tex]
[tex]k = 5[/tex]
The transformation that maps f into g is a translation transformation,
involving the addition of k to the value of f(x).
The value of k that transforms f into g is; k = -5Reasons:
Points on the graph of g(x) are; (0, -3) and (0, 1)
[tex]\mathrm{The \ slope \ of \ the \ graph \ of \ g(x)} =\dfrac{-3 - 1}{0 - 1} = 4[/tex]
The equation of g(x) is; y - (-3) = 4·x, which gives;
y = 4·x - 3
The y-intercept = -3
Points on the graph of f(x) are; (-1 -2) and (0, 2)
[tex]\mathrm{The \ slope \ of \ the \ graph \ of \ f(x)} =\dfrac{-2 - 2}{-1 - 0} = 4[/tex]
The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;
y = 4·x + 4 - 2 = 4·x + 2
The y-intercept = 2
The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)
The difference or the transformation that takes the y-intercept of f(x) to the
y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5
Therefore, k = -5
Which gives;
g(x) = f(x) - 5
The value of k that transforms f into g is; k = -5
Learn more here:
https://brainly.com/question/23570234
https://brainly.com/question/10049947
Lines of latitude, also called parallels, do what?
Answer: Lines of latitude (parallels) run east-west around the globe and are used to measure distances NORTH and SOUTH of the equator.
Step-by-step explanation:
Step-by-step explanation:
yeah what guy below me or above me said
Solve: 1,241 ÷ 32
Show the remainder as a fraction.
Answer: 38 25/32
Step-by-step explanation:
Answer: (1241/32) ÷ 2 = 19.390625
Step-by-step explanation:
A recipe calls for 1 cup of sugar and 5 cups of water how many sugar is used per cup of water
Answer: 0.2
Step-by-step explanation: 1 divided by 5 = 0.2
another way to think of this is 5 x 2 = 10 = 5 x 0.2 = 1
Answer: 0.2
Step-by-step explanation: 1 divided by 5 = 0.2
5 x 2 = 10 5 x 0.2 = 1
A) x=5
B) x= 4
C) x= -1.5
D) x= -2
Answer:
x=-1.5
Step-by-step explanation:
Answer:
B) X=4
Step-by-step explanation:
Since opposite sides of a rectangle are equal that means line AD and line BC are equal to eachother
8x-12=20
+12 +12
8x=32
/8 /8
x=4
See image below for problem, thank you :))
Given: ∠XAM = ∠YBM = 90° and AM = BM
To prove: BX ≅ AY
Proof:
In the triangle XAM and BYM:
∠3 = ∠4 [vertically opposite angles]AM = BM [Given]∠XAM = ∠YBM [Both are 90°]From the ASA rule of congruency, we can say that: ΔXAM ≅ ΔYBM
Since ΔXAM ≅ ΔYBM: We can say that XM ≅ MY [CPCT - Common Part of Congruent triangles]
In the Triangle AMY and XMB:
∠1 = ∠2 [vertically opposite angles]AM = BM [Given]XM = MY [Proved above]From the SAS rule of congruency, we can say that: ΔAMY ≅ ΔXMB
Since ΔAMY ≅ ΔXMB: We can finally say that BX ≅ AY [CPCT]
Hence Proved!
What is the answer for
(3/4)(3/5)=
Answer:
9/20 or 0.45
Step-by-step explanation:
we multiply them
3×3/4×5
9/20
or 0.45
Write an expression that represents the
difference between the areas of the two
shapes.
A= 3x + 3
A = 2x + 6
Answer: x-3
Step-by-step explanation:
3x+3-(2x+6)
= 3x+3-2x-6
3x-2x+3-6
x+3—6
Answer= x-3
Lin rode a bike 20 miles in 150 minutes at a constant
speed.
Answer:
7.5 miles per minute
Step-by-step explanation:
This recipe makes four portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 4.
180 g onions
100 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 / vegetable stock
g onions
g carrots
tbsps oil
g tomatoes
Answer:
i need help
Step-by-step explanation:
Angie completes 80% of her homework problems before basketball practice. She was assigned 30 problems total. How many problems were completed before basketball practice?
23
24
25
26
Answer:
24 questions
Step-by-step explanation:
you would make the percentage a decimal and times that by how many problems.
Answer:
24 problems
Step-by-step explanation:
I like to do it like this: I find out what 10 percent is, so I divide it by 10. 30/10=3. 10 percent plus 10 percent is 20 percent. That's 6. 100 percent minus 20 is 80 percent. 30 - 6 is 24. Hope this helps.
-5/2a+5=25 what does a equal
Answer:
-8
Step-by-step explanation:
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If there are 275 sixth-grade students at the school, how many sixth-grade students prefer hip hop music?
Answer:
Around 80 students
Step by step explaining:
My big brain