Answer:
135 = 3y + 3r
y = 30; r = 15
Step-by-step explanation:
y = 3y + 3r
Where,
y = total number of flowers in the garden = 135
y = number of flowers in each yellow flower bed = 30
r = number of flowers in each red flower bed
135 = 3(30) + 3r
135 = 90 + 3r
135 - 90 = 3r
45 = 3r
r = 45/3
r = 15 flowers
number of flowers in each red flower bed = 15
Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equation best represents the cost, c, of a
Answer: $7.95+$1t ?
Step-by-step explanation:
Answer:
I assume the answer would be the burger plus toppings is equal to cost so
7.95+t*1.00=c
Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles?
Answer:
15:45 (or 15 to 45)
Step-by-step explanation:
a family took 2 hours to drive from city a to city b at a speed of 55 miles per hour. On the return trip, due to a snowstorm, the family took 3 hours to travel back to City a. How many miles did the family travel in all? What was teh average speed for the entire trip?
Answer:
Total distance traveled in all = 220 miles
Average speed for the entire trip = 44 miles per hours
Step-by-step explanation:
Don't have one
Which of the following is the complete factorization of 18n +60 ?
a.78n
b.2(9n +30)
C.3(6n + 20)
d.6(3η + 10)
e.18(n + 3)
Answer:
answer is d
Step-by-step explanation:
18n can be factored in 60
6 times which would remand 3n+10
A salmon is swimming in a river that is flowing downstream at a speed of 2 miles per hour. The slamon can swim 12 miles upstream in the same amount of time it would take 24 miles downstream. What is the speed of the salmon in still water?
Answer:
\(2 + 12 + 24 = 38mile \: per \: hour\)
How many 1/5s make 14/10?
Answer:
7 '1/5's' are required to make 14/10
Step-by-step explanation:
Let's divide!
=> 14/10 ÷ 1/5
=> 14/10 x 5
=> 14/2
=> 7
Therefore, 7 '1/5's' are required to make 14/10
Hoped this helped.
A brand of ballpoint pen comes in four colors, with fine or regular point, and with standard, deluxe, or
executive styling. How many different versions of the pen are there?
16 multiplied by -5/4
Answer:
-20
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
the 4 cancels or goes into 16 4 times and it multiply with-5 to get -20
tell how the communative and associative properties of adddition can help you evsaluate the expression using mental math? 8+(-8-5)
Using commutative and associative properties of addition, the solution for given expression is -5.
What is commutative and associative property?
The associative and commutative characteristics are universal principles that apply to addition and multiplication. The associative property states that rearranging the numbers will get the same result, while the commutative property states that rearranging the numbers will yield the same result.
These properties tell that one can add in any order, the result will always be the same.
We are given an expression as 8+(-8-5).
So, in this instead of adding from left to right, we can see that the 8 + (-8) will be zero and only -5 will be left as an answer.
Hence, the solution for given expression is -5.
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Place the numbers 2,4,6,8,10,12, 14, 16,18 in the squares below so that the sum of the numbers in every column, row, and diagonals is equal to 30.
The way the numbers will be placed in the square box will be:
First row = 4 12 14
Second row = 2 10 18
Third row = 6 8 16
How to illustrate the information?It should be noted that the question is simply about adding the numbers and getting 39 in each place.
This will be:
First row = 4 12 14 = 4 + 12 + 14 = 30
Second row = 2 10 18 = 2 + 10 + 18 = 30
Third row = 6 8 16 = 6 + 8 + 16 = 30
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Carlos has 38 apples. He puts 8 apples into each bag. If he fills as many bags as
possible, how many apples are left?
Answer:
Step-by-step explanation:
In my opinion it's 2 apples
Simply take 38 ÷ 4 to get 36 then the two are the remainders
Answer:
He can fill 4 bags(of 8 apples each) and have 6 apples left
Step-by-step explanation
Pavan saves $x each month.His two brothers each save $4 more than Pavan each month.
Altogether the three boys save $26 each month.
(a) Write down an equation in x.
Answer:
a)(4+x) + (4+x) + x= 26
b) x=6
Step-by-step explanation:
pavan=x
brother 1=4+x
brother 2=4+x
brother 1=brother 2
a)
(4+x) + (4+x) + x= 26
b)
(4+x) + (4+x) + x= 26
=> 8+3x=26
=>
take 8 to 26
=>
3x=26-8=18
take 3 to 18 side
x=18/3=6
therefore pavan saves 6$ per month
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
A bottle holds z ounces of water. A second bottle holds 16 ounces, which is 8/5
times as much water. How much does the first bottle hold?
Answer:
The first bottle holds 25 3/5 ounces of water.
Step-by-step explanation:
16 x 8/5
= 16/1 x 8/5
= 128/5
= 25 3/5
Answer:
10 ounces
Step-by-step explanation:
16=8/5
z=1
16*1=16
8/5*z=8/5z
16=8/5z
16/1.6z=10
z=10
Sam and Liam raced up and then back down a hill. Sam's average speed up the hill
was 1 mph, and his average speed down the hill was 9 mph. Liam ran up the hill
and down the hill at 2 mph. If the trail from the bottom to the top of the hill is 1
mile long, how much time did it take each boy to finish? Who was the winner?
Using the speed formula, we know that Liam finished in 1 hour as opposed to Sam's 1/ 19 hours, earning him the victory.
What is speed?Speed is calculated as follows: speed = distance * time.
Knowing the units for distance and time is necessary to calculate the units for speed.
The units will be in meters per second (m/s) in this example since the distance is measured in meters (m) and the time is measured in seconds (s).
So, the speed formula is:
Speed = Distance/Time
Taking time for the subject:
Time = distance/Speed
Now, Sam:
Time spent ascending the hill = 1/1 = 1 hour
Time spent descending the hill = 1/9 hours
Sam spent 1 1/the9 total minutes climbing and descending the hill.
Now, Lian:
Time spent ascending the hill = 1/2 hours
Time spent descending the hill = 1/2 hour
Total time spent ascending and descending the hill = 1/2 + 1/2 = 1 hour
Sam, therefore, took 1/9 hour longer than Liam.
Therefore, using the speed formula, we know that Liam finished in 1 hour as opposed to Sam's 1/ 19 hours, earning him victory.
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Sarah is looking to take out a mortgage for $300, 000 from a bank offering a monthly
interest rate of 0.525 %. If Sarah makes monthly payments of $1925, determine how
long it will take her to pay off the loan, to the nearest tenth of a year, using the
formula below.
It will take Sarah approximately 15.9 years to pay off the loan.
To determine how long it will take Sarah to pay off the loan, we can use the formula for the number of periods required to pay off a loan:
\(\(n = \frac{{\log\left(\frac{{P \cdot r}}{{P - M \cdot r}}\right)}}{{\log(1 + r)}}\)\)
Where:
n is the number of periods (in this case, the number of months)
P is the principal amount (loan amount), which is $300,000
r is the monthly interest rate, which is 0.525% or 0.00525 (expressed as a decimal)
M is the monthly payment, which is $1,925
Substituting the values into the formula, we have:
\(\(n = \frac{{\log\left(\frac{{300,000 \cdot 0.00525}}{{300,000 - 1,925 \cdot 0.00525}}\right)}}{{\log(1 + 0.00525)}}\)\)
Using a calculator to evaluate the logarithms and perform the division, we find that \(\(n \approx 190.6\)\) months.
Since we are asked to determine the time to the nearest tenth of a year, we divide 190.6 by 12 to convert it into years:
\(\(\frac{{190.6}}{{12}} \approx 15.9\) years\)
Therefore, it will take Sarah approximately 15.9 years to pay off the loan.
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1) Find the GCF for 45a^3b^2 and 15ab
We want to find the greatest common factor of two given expressions.
The GCF is 15*a*b.
The two expressions are:
45*a^3*b^2 and 15*a*b
To find the greatest common factor, we can rewrite the first expression to get:
45*a^3*b^2 = (3*15)*(a^2*a)*(b*b)
Now remember that we can perform a multiplication in any order we want, so we can rearrange the factors to write this as:
(3*15)*(a^2*a)*(b*b) = (15*a*b)*(3*a^2*b)
Then we have:
45*a^3*b^2 = (15*a*b)*(3*a^2*b)
So we can see that 15*a*b is a factor of 45*a^3*b^2, then the GCF between 15*a*b and 45*a^3*b^2 is just 15*a*b.
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Use the information given below to find tan(a + B)
cos a = 3/5, with a in quadrant IV
tan B = 4/3, with B in quadrant I I I
Give the exact answer, not a decimal approximation.
tan(a + B) = ?
let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said
\(\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill\)
\(\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}\)
What number is 15 less than 63?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
Which graph does not represent a function ?
Answer: the the 2nd circular one
Step-by-step explanation: Functions can't just go in a circle, they will repeat the x value
What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Find
dy/dx if y=x by using the Chain Rule with y as a composite of the following functions. Complete parts (a) and (b) below.
Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.
When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.
To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).
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704.98−2.056=□
68,442
702.924
684.42
68.442
Answer:
702.924
Step-by-step explanation:
Key skills needed for this are: Decimal subtraction, lining up decimal points
1) We have this problem --> 704.98-2.056
2) Rewrite it like this --> 704.980 (put a placeholder 0 since it helps
- 2. 056
-------------------
You have to regroup once in the problem, (0 - 6 becomes 10 - 6 and 8-5 becomes 7 -5) . And it will make the last 2 digits of the answer 24
3) The rest of the problem is regular subtraction --> and your answer will be 702.924
Determine which of the lines are parallel and which of the lines are perpendicular. Select all the statements that are true
Line a passes through (2, - 4) and (14, – 7)
Line b passes through (-1, 10) and (1, 2)
Line c passes through (-6, - 5) and (-5, -9)
Line d passes through (2, 0) and (-10, – 3)
Answer:A,B A,C A,D
B,C B,D B,D
All of those are parallel the rest are perpendicular
Step-by-step explanation:
Pamela Demars computer printer allows for optimal settings with a panel of three on off switches in a row. How many different settings can she select if no two adjacent switches can both be on?
Pamela Demars computer printer allows for optimal settings with a panel of three on off switches in a row. 13 different settings can she select if no two adjacent switches can both be on.
What is an offset in computer?The term "offset" in computer science refers to a piece of data's position in relation to another place. For instance, when a programme accesses a bytes array, the fifth byte is four bytes away from the start of the array. A set is an abstract data type in computer science that may contain distinct items without regard to order. A finite set is a mathematics idea that has been computerized.
There are 5 switches with each switch either in On or Off state.
Thus, total no of settings = 2⁵ = 32
Let 0 represent Off state and
1 represent On state
The different settings are:
00000, 00001, 00010, 00011, 00100, 00101, 00110, 00111, 01000, 01001, 01010, 01011, 01100, 01101, 01110, 01111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111
Settings in which no two adjacent switch is both On
00000, 00001, 01010, 00100, 00101, 01000, 01001, 01010, 10000, 10001, 10010, 10100, 10101
No. of settings in which no two adjacent settings is both On = 13
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suppose you calculate a 95% confidence interval for a proportion to to be: 0.17 to 0.97. determine the margin of error
The margin of error with a confidence interval of 0.17 to 0.97 is 0.4.
An indicator of the extent of random sampling error in survey results is the margin of error. In other words, the percentage point difference between the results and the actual population value is indicated by the margin of error. The confidence interval form is given by Confidence Interval = [lower confidence interval limit, upper confidence interval limit]. The confidence interval's total width divided by two is the margin of error.
Here, 95% confidence interval = [0.17, 0.97]. Then, the margin of error is,
\(\begin{aligned}\text{Margin of error (E)}&=\frac{\text{(upper confidence interval limit-lower confidence interval limit)}}{2}\\&=\frac{0.97-0.17}{2}\\&=\frac{0.8}{2}\\&=0.4\end{aligned}\)
The answer is 0.4.
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the sum of 4.5 and a number K is 26.2
Answer:
Your answer should be K=21.7
You can find this by subtracting 26.2-4.5
Can anyone help me with this question?
Answer:
-7/4
Step-by-step explanation:
we can see that every time the value of x increases by 4, the value of y decreases by 7.
let's pick two sets of coordinates (first two will be fine).
that is (-4, 6) and (0, -1)
Slope = (change in y values) / (change in x values)
= (-1 - 6) / (0 - -4)
= -7 / (0 + 4)
= -7/4.
so our slope (gradient) is -7/4
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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6. Mason is looking for a new job. One company offers him a salary of $650 per 40-hour work week. What will Mason's hourly pay rate be if he accepts the job?
A$15.75 per hour
B$16.25 per hour
C$16.50 per hour
D$17.75 per hour
Answer:
b. $16.25
...............