it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?
Answer:
2.5 hours
Step-by-step explanation:
→ Write the formula
Speed = Distance ÷ Time
→ Find the distance for 3 hours at a speed of 50 mph
Distance = Speed × Time ∴ 3 × 150 = 150
→ Now work out the time
150 ÷ 60 = 2.5 hours
at a baseball game, adult tickets cost $15 and children’s tickets cost $8. Twice as many children attended as adults, and the total ticket sales were $2480. How many people attended the game? Explain how you got your answer.
Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)
Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44
Player's bet number = $5 Bet amount = $2 Winning = $2 × $5 = $10Probability that wheel stops on $5:
Probability = required outcome / Total possible outcomesP(stops on $5) = 7/54 =
Hence, probability of not winning = 1 - 7/54 = 47/54
X :____ - 2 _____ 10
P(X) : _ 47/54 ___ 7/54
Expectation or Expected value :
E(X) = (-2 × 7/54) + (10 × 47/54)
E(X) = $8.44
Therefore, the player's expectation is $8.44
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The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn.
Answer:
Width=3ft
Length=11ft
Evaluate (625) power of 0.16 × (625) power of 0.09
Answer:
5Step-by-step explanation:
(625) power of 0.16 × (625) power of 0.09
[tex]625^{0.16}\times625^{0.09}=625^{0.16+0.09}=625^{0.25}=(5^4)^{0.25}=5^{4*0.25}=5^1=5[/tex]Find the Value of x
Please answer!!
No links!!
Answer:
x = 15 inches
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]
Solve for x. round to the nearest tenth. 9 24
Answer:
x ≈ 3.7Step-by-step explanation:
Use trigonometry:
sine = opposite / hypotenusesin 24 = x/ 9x = 9 sin 24x ≈ 3.7Show your work. -2.5(4x -4) = -6
Answer:
x = 1 3/5
Step-by-step explanation:
distribute.
-2.5*4x + (-2.5*-4) = -6
-10x +10 = -6
subtract 10 on both sides
-10x = -6 -10
divide by -10
x = -16/-10
x = 1 3/5
Write the equation of the line containing the points (3, 6) and (7, - 2) in standard form.
Answer:
[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]
Answer:
y=-2x+12
Step-by-step explanation:
The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon
race in yards?
Plz help
Answer:
46,145
Step-by-step explanation:
26x1760= 45,760 + 385= 46,145
The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.
How to measure the length?Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.
Yards-This unit is used when the size of a small space has to measure, such as length of bed, ladder etc. There are total 1760 yards in one mile.Miles-This is the basic unit of length measurement of size. The size of roads, distance between two cities are measured in miles.The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,
[tex]26\times1760=45760[/tex]
Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,
[tex]45760+385=46145\rm\; yards[/tex]
Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.
Learn more about the length measurement here;
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one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two numbers.
Answer:
x = 36; y = 42
Step-by-step explanation:
x+6 = y
7x = 6y
7x = 6(x+6)
7x = 6x+36
-6x -6x
x = 36
_________
y = 36+6
y = 42
_________
solve pls brainliest
Tell me where to put the dot
Answer:
You will put one mark in front of 5 and the other in front of 10. For question a the answer is 11 is to the right of 6. For question B the correct answer is that 11 is greater then 6 or >
Step-by-step explanation:
1. Brady had 432 Legos. Owen has
three times as many. How many Legos
does Owen have?
How
many do
they have all together?
What is the volume of the basement?
Volume = Length × Breadth × Height
So you are absolutely right, it is 252 yards squared
Hey can someone help please hurry it’s important
[tex]\large\underline{\sf{Solution-}}[/tex]
Given info:
6885 ÷ 46
Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.
Let's solve!!
[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]
[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]
[tex] \sf{Now,} \\ [/tex]
[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]
[tex] \sf = 46 \times 149 + 31 \\ [/tex]
[tex] \sf = 6854 + 31 \\ [/tex]
[tex] \sf{ = 6885} \\ [/tex]
[tex] \sf = \red{ Dividend}. \\ [/tex]
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers. Participants responded to questionnaires about their smoking habits and health in 1951, 1957, 1966, and many more times all the way up to 2001. What type of observational study is this
Answer:
A prospective study
Step-by-step explanation:
A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
The type of observational study is A prospective study.
We have given,
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers.
What is the development of disease?
It is the period before the disease begins to develop and provides the greatest opportunity for improving health.
A prospective study watches for outcomes, such as the development of a disease (in this case cancer).
It also involves taking a group of subjects and watching them over a long time period.
The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
To learn more about the disease visit:
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Randy needs to buy 5 pens and 3 colored pencils for his art activity. He has P 86.78 to spend. If the pens and pencils have the same price, how much is the pen and colored pencils per piece?
A. 9.50
B. 10.85
C. 8.75
D. 7.55
Betty's height was 119.2 cm, and Beth's height was 105.6 cm. Six months later, Betty gained 0.4 cm per
month, but Beth's height just remains the same. Find their new total height.
A. 227.2cm
B. 223.4cm
C. 231.8cm
D. 229.6cm
The cost of pen and colored pencils per piece is =10.85
The new total length of both Betty and Beth is =227.2cm
Total number of pens Randy needs to buy = 5
Total number of colored pencils Randy needs to buy= 3
The both items are bought at the same prize = a
The cost of five pens is = 5× a = 5a
The cost of colored pencils is = 3 × a= 5a
The money needed to spend on the items= 86.78
To find the cost of each item which is a ,
5a + 3a = 86.78
(5+3) a= 86.78
8a = 86.78
therefore a = 86.78/8
= 10.85
Therefore the prize of each item is = 10.85. That is option B
Betty's height = 119.2 cm
Beth's height = 105.6cm ( which remained the same)
But Betty's height after 6 months = (6× 0.4) + 119.2
= 2.4 + 119.2
= 121.6 cm
Therefore, the total new height= 121.6 + 105.6
= 227.2cm
That is option A.
Help marking brainliest for who is right
Answer:
-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2
Step-by-step explanation:
Please help- Precalculus
Step-by-step explanation:
(a) f (g (- 5)
→ f (-5)g
= - 5fg
(b) (g o f ) (4)
Move 4 left to the g o f
= 4gof
Answer:-5fg, and 20g
Step-by-step explanation:
I’m only in eighth grade but I’ma try
Re-order terms so constants are on the left
((−5))
(−5)
Eliminate redundant parentheses
there are none
Re-order terms so constants are on the left
-5fg
Re-order terms so constants are on the left
(5G)(4)
Eliminate redundant parentheses
5g(4)
Multiply the numbers
20g
Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.
Answer:
5.4 units
Step-by-step explanation:
5x + 2y - 4 = 0 and (15, - 21)
d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)
A=5, B=2, C= - 4 and Px=15, Py= -21
d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)
= |75-42-4| / sqrt 29
= 29/sqrt 29 = 5.4
-7 over 1 3rd written as a fraction is
Answer: 22/3 I think
sorry if it’s wrong
Answer:
7 1/3
i hope this helps you can do it
The perimeter of a regular pentagon is 4 1/7
cm. Find the length of its each side
Answer:
29/35 cm for each of the 5 sides
Step-by-step explanation:
The perimeter is the length of all the sides added together. A pentagon has 5 sides. So you'd need to divide 4 1/7 by 5.
It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.
4/5 = 0.80 or 8/10
1/7 divided by 5 is written as (1/7) / (5/1)
When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.
So (1/7) / (5/1) turns into 1/7 x 1/5 = 1 / 35
Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.
8/10 would turn into 56/70
1/35 would turn into 2/70
Add them together now and you get 58 / 70. This can be reduced down to
29 / 35.
Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,
[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]
[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]
[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]
[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]
[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]
help help hep me sorry for like a million queestions
Answer:
1/12. Larger the disparity between numerator and the denominator (with the denominator the larger), the smaller the fraction!
A dozen large muffins cost $7.99.
How much does each muffin cost?
Answer:
1.501877347
Step-by-step explanation:
estamate or whaever u need to do
Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.
Answer:
Alonso can use 2.1 gigabytes while staying within his budget.
Step-by-step explanation:
53.50 + 3x = 59.80
3x = 59.80 - 53.50
3x = 6.3
x = 6.3 ÷ 3
x = 2.1
Alonso can use 2.1 gigabytes while staying within his budget.
******Please help me help please help me ******
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
If the variation is direct, any multiplier of the x-value will also multiply the y-value.
old value × -1 = new value
x: 4 × -1 = -4
y: -8 × -1 = 8
The new value of y is 8.
While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.
Which expression is equivalent to -19-11?
Answer:
uh lol can i get sum more context
Step-by-step explanation:
it’s for i ready. please help
Answer:
6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)
Step-by-step explanation:
1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.
6 × 1 = 66 × 2 = 126 × 3 = 186 × 4 = 246 × 5 = 30 6 × 6 = 36 6 × 7 = 426 × 8 = 48 6 × 9 = 54Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)
A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes?
Answer:
$44.40
Step-by-step explanation:
100%-70%=30%
30/100x148=44.40 (discounted price)
Appreciate to be marked brainliest. Hope this helps!