Answer:
1. 1/5 1/3 4/6
2. 3/5 3/4 7/8
3. 87 nickels
4. 150 minutes
5. 2
6. 3/4
Step-by-step explanation:
1. least to greatest: 1/5 1/3 4/6
2. least to greatest: 3/5 3/4 7/8
3. 1 nickel = 5 cents
So 485 ÷ 5 = 87 nickels
4. Total number of minutes = 50 x 2 = 150 minutes
5. A composite number is a whole number that can be made by multiplying other whole numbers.
3 x 3 = 9 ⇒ composite number
3 x 5 = 15 ⇒ composite number
3 x 7 = 21 ⇒ composite number
Therefore 2 is NOT a composite number (it is a prime number)
6. 6/8 = 3/4
Mr and mrs Boyden take their 3 children to a leisure park.
they buy tickets for the whole family
the cost of an adult ticket is £6 more than the cost of a child ticket
the total of the cost of the five of the tickets is £82
work out the cost of an adult ticket
Answer:
The Answer Should Be 20
explanation:
Hope This Helps :)
3x+x+x+x-3-2=7+x+x
What is the value of x
Answer:
x = 3
Step-by-step explanation:
3x+x+x+x-3-2=7+x+x
3x+x+x+x-x-x= 7 + 3 +2
3x+x = 12
4x = 12
x = 3
Solve each system of linear equations by elimination.
3x-2y=3
-x+y=1
Answer:
x=5, y=6
Step-by-step explanation:
Double the second equation to give you:
-2x+2y=2
Now we add the 2 equations to eliminate the y:
3x-2y=3
+
-2x+2y=2
x=5
Now we substitute this value to give us:
3(5)-2y=3
15-2y=3
-12=-2y
y=6
You can substitute both these values in equation 2 to see if it works:
-x+y=1
-(5)+6=1 ✅
Given a fair six-sided number cube. What is the probability of the complement of rolling a 3 or 4?
Question 8 options:
2/6
1/3
1/2
2/3
Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $3072 $768 $491. 52.
Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800
How to calculate simple interest amount if rate of interest is R% annually?Suppose that the initial amount of investment is P
And the rate of simple interest is R% annually,
And the time of investment is T years.
Then, the amount of simple interest is calculated as:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For the given case, let the initial investment Hannah made was of $P
Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536
Putting values in the above formula, we get;
[tex]I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800[/tex]
Thus,
The investment by Hannah was : Option A: $4800
Learn more about simple interest here:
https://brainly.com/question/5319581
A four-letter code uses the letters Z and X. Either letter can be repeated in the code. How many
different codes are possible?
Answer:
Step-by-step explanation:
10? i believe so if not then one or two more
¿como se representa 13 enteros 3/4 en numero decimal?
la necesito para hoy y rapido porfa
Answer:
13.75
Step-by-step explanation:
Im giving brainleist lol
Which sampling would be appropriate to survey 280,000 people?
A. 28,000
B. 2,800
C. 280
D. 28
Answer:
Option C
Step-by-step explanation:
280 sampling would be appropriate to survey 280,000 people
Please mark as Brainliest!!
Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.
A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
As the heart beats, blood pressure increases and decreases. This happens cyclically at the rate of the person’s heart beat. A doctor is monitoring the blood pressure of a patient whose heart rate is 70 beats per minute. The maximum blood pressure over the course of a 10-minute period is 120 mm/Hg and the minimum is 60 mm/Hg. Find a sine function that models the person’s blood pressure as a function of time (in minutes). F(x) = 30 sin(140πt) 90 f(x) = 60 sin(70πt) 30 f(x) = 60 sin(140πt) 90 f(x) = 30 sin(70πt) -60.
Sin function goes up and down, standard amplitude is 1 unit. The sin function modelling the given situation is [tex]f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]
How does sine function works?Suppose that we've got
[tex]f(x) = a\sin(bx + c) + d[/tex]
It has got
Amplitude or maximum height from average motion horizontal axis = a+dAnd thus, the minimum low from horizontal axis is -a (sin ranges from -1 to 1, and multiplying a to it make it range from -a + d to a).Period of wave: [tex]\dfrac{2\pi}{b}[/tex]Phase shift (horizontal left shift) = c/bHorizontal line around which wave moves is: y = dThe situation given has:
Maximum blood pressure as 120 mm/Hg = a + d
Minimum blood pressure as 60 mm/Hg = -a + d
Thus, adding both will give:
[tex](a+d) + (-a + d) = 120 + 60\\2d = 180\\d = 90[/tex]
Thus, as a + d = 120, thus, a = 120-d = 120 - 90 = 30
Now, The period is given to be 10 minutes, or we get:
[tex]\dfrac{2\pi}{b} = 10\\\\b = \dfrac{\pi}{5}[/tex]
Since count started from 0, thus, c= 0
Therefore, the sine function modelling the given situation is:
[tex]f(x) = a\sin(bx + c) + d \\\\f(x) = 30\sin(\dfrac{\pi x}{5}) + 90[/tex]
Here x is the number of minutes passed.
Learn more about sine function modelling the situation here:
https://brainly.com/question/12070030
Answer:
A
Step-by-step explanation:
Find the product of 2x2(x 6). 8x3 2x3 12x2 3x3 12x2 2x2 x 6.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is
[tex]-2x^2(x+6) = -2x^{2+1} -12x^2 =-2x^3 -12x^2[/tex]
It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]
Also, we've
[tex](-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]
where -ve, +ve are sign of operands and result.
That's why [tex]-2 \times 6 = -12[/tex]
Thus,
The product of [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]
Learn more about product of polynomials here:
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A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent. Probability and Fuel Cost by Region Region Probability in Region Fuel Cost per Gallon Southeast 20% $3. 10 Southwest 30% $3. 50 California 50% $4. 05 $3. 53 $3. 55 $3. 68 $3. 70.
The cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70
What does the expectation of a random variable tells about?A random variable is usually taking some numerical information of each elementary event of the sample space . (map from sample space to real numbers). Its expected value is the best prediction value in most of the cases. It is the mean or average value of that random variable.
How to find the mean (expectation) of a random variable?Supposing that the considered random variable is discrete, we get:
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\[/tex]
where [tex]x_i; \: \: i = 1,2,.. , n[/tex] is its n data values
and [tex]f(x_i)[/tex] probability of [tex]X = x_i[/tex]
How to convert percent to probability?Percent counts the number compared to 100 whereas probability counts it compare to 1.
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in probability)
If assuming that X = Fuel cost per gallon, then
E(X) = Average fuel cost per gallon that the company should budget (its per gallon, means for a gallon)
Using the tabulated value given in the problem, we get:
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i\\\\\\\\E(X) = 3.10 \times 0.2 + 3.5 \times 0.3 + 4.05 \times 0.5 = 3.695 \approx 3.70[/tex] (in dollars)
(we converted percentage to probability).
Thus, the cost the company budget on average for a gallon of fuel across its operations is given by: Option D: $3.70
Learn more about expectation of a random variable here:
https://brainly.com/question/4515179
Answer:
D is the correct answer! ~Hope this helps!
Step-by-step explanation:
Work:
(6x+7) (3x-1) - (5x+3) (2x+1)
Answer:
8x² + 4x - 10
Step-by-step explanation:
We will use the order of PEMDAS to solve
-> See attached
(6x+7) (3x-1) - (5x+3) (2x+1)
(6x+7) (3x-1) becomes 18x² - 6x + 21x - 7 which is equal too 18x² + 15x - 7
(5x+3) (2x+1) becomes 10x² + 6x + 5x + 3 which is equal too 10x² + 11x + 3
(18x² + 15x - 7) - (10x² + 11x + 3)
18x² - 10x² = 8x²
15x - 11x = 4x
-7 - 3 = -10
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Please help! Will give Brainiest!
Suppose y varies directly with x. Write an equation relating x and y.
y= 12 when x=4
options:
1. y= 4x
2. y= -3x
3. y= 3x
4. y= 1/3x
1. 12 = 4(4) ----> 12 = 16
2. 12 = -3(4) ------>12 = -12
3. 12 = 3(4) -------->12 = 12
4. 12 = 1/3(4) --------> 12 = 4/3
Marty has $110 and is spending it at a rate of $3 per day. How much money does he have left after 14 days? Write your answer in the box.
3x14=42
110-42=68
So, Matry will have 68 dollars after 14 days. If you dont mind, mark me brainliest?
Answer:
$58
Step-by-step explanation:
Per day- $3
14 days- 14($3)
so, 14 days he spends $52
Then, He had $110 originally, so to find how much he has left:
110-52=58
So, he has $58 now.
What comes next in the following pattern?
12, 11, 15, 14, __
Hi!
I will help you with joy!
Let's take a look at our pattern.
12, 11, 15, 14, _
Here, we subtract 1, then add 4, then subtract 1, then add 4.
Thus, the next number in the pattern will be 18.
12, 11, 15, 14, 18
The next number will be 17, and so on...
I hope it helps!
Ask me if you have any queries.
Misty ~
[tex]\bf{Grace}\sf{ful\rm{Teen[/tex]
Enjoy your day!
Two trains, Train A and Train B weigh a total of 349 tons. Train A is heavier than Train B. The difference in their weights is 249 tons. What is the weight of each train?
Answer:
Train A = 299 tons Train B = 50 tons
Step-by-step explanation:
Train A = x
Train B = y
x+y = 349
x= y +249
Plug in one equation into another
y+249+y= 349
Simplify
2y+249=349
Subtract 249 from both sides
2y=100
Divide both sides by 2
y=50
Plug it into the x equation to solve for x
x+50=349
-50 from both sides
x=299
Please help me I am very confused and need help!!!!!!
Answer:
See below.
Step-by-step explanation:
3*3.14 = 9.42
9.42+5 = 14.42
The answer is point A.
-hope it helps
Answer:
A
Step-by-step explanation:
Pi has an infinite number of digits, but you don't need very many of them to answer the question!
[tex]\pi \approx 3.14[/tex] (the symbol [tex]\approx[/tex] means "approximately equal to").
The quantity [tex]3\pi + 5 \approx 3(3.14)+5=9.42+5=14.42[/tex]. In other words, you are looking for a point between 14 and 15. It's point A.
what do you get when you times 30 by 56
Answer:
we divide both 30 and 56 by the greatest common factor to get the following simplified fraction: 15/28 Therefore, this equation is true:
MARK AS BRAINLIESTSAY THANKS ON AVATAR SAY THANKS ON ANSWERRATE AT LEAST 3 -- 5DONT HAVE A GOOD DAY HAVE A GREAT DAY
Pamela's age is three times Jiri's age. The sum of their ages is 116. What is Jiri's age?
Answer:
29
Step-by-step explanation:
Let Jiri's age be 'x'. Pamela's age is 3x since Pamela's age is three times Jiri's age.
The sum of their ages is 116:
x + 3x = 116
4x = 116
x = 116 ÷ 4 = 29
x = 29
Jiri's age is 29
3x²-4x-7=0 find out b and c
Answer: there is no b and c so you cant find b and c
Step-by-step explanation:
A number is as much greater than 21 as it is less than 71 . find the number
Answer:
25
Step-by-step explanation:
Your answer is 25.
More than meaning adding
Less than meaning subtraction
Brainliest? :)
Plot the image point P under the translation (x,y)→(x-4,y-6).
Please help I don’t know the answer!!
Answer:
wait do u have a word bank or anything like words to go with it or numbers ????
Find the integer $n$ such that\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{0.001}}.\]
Please help :(
The value of n is 20 from the given indices
How to determine the variable in an exponential functionGiven the exponential function expressed as:
[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{0.001}}.\][/tex]
This can be further expressed as:
[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{10^{-3}}}.\\\[10^n = 10^{3}\sqrt{10^{34}\\10^n = 10^3\cdot 10^{17}[/tex]
Since the use are equal, add the exponents
[tex]10^n= 10^{3+17}\\10^n=10^{20}\\n=20[/tex]
Hence the value of n is 20 from the given indices
Learn more on indices here: https://brainly.com/question/10339517
Answer:
20
Step-by-step explanation:
Help!!!! Its A Math Problem What is the number that goes in the blanks?
I domt understand how to solve
Answer:
The answer is---
x=10
Step-by-step explanation:
(4x+9)+(7x+4)+57=180
11x+13+57=180
11x=110
x=10
Two questions about equivalent fractions
Answer:
first photo Answer12-4m secend 2.3/8y+6
Evaluate xy when x = 5 and y = 3.
Answer:
x=5
y=3
NOW,
or,x×y
or,5×3
or,15 answer
Answer:
15
Step-by-step explanation:
This indicates the multiplication operation.
Given: x =5, y=3
xy= 5 and 3
5 * 3 = 15
xy= 15
There is a bag with only milk and dark chocolates.
The probability of randomly choosing a dark chocolate is
5
12
.
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answer:
35 milk chocolates
Step-by-step explanation:
5/12 for first bag
5 x 5 = 25
12 x 5 = 60
25/60
25 of the total chocolate are dark and there are only two types of chocolate in the bag (milk and dark)
60 - 25 = 35