6.66 feet/sec
SPEED = 90 / 13.5
= 6.66 feet/ sec
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please refer to the image
Brief The Question Please, Thank You
Solve the following equations.
(x+5)/2 + (x-3)/3 = 3 1/6
.
3(x+5) + 2(x-3) = 6(3(1/6))
3x + 15 + 2x - 6 = 3 X 1
5x + 9 = 3
5x = - 7
x = - 7/5
Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500
The number is 280
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.
So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.
LCM of 2,5 and 7 is 70
70 x 4 = 280
Sum of digits of 280 is 10, which is also less than 500
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Help me! Find the measure of the largest angle.
What is the simplest form ratio of 6oz flour, 4oz of sugar and 2 oz butter?
Answer:
3 : 2 : 1
Step-by-step explanation:
Simplest ratio
6oz : 4oz : 2 oz
Divide each by 2
6oz/2 : 4oz/2 : 2 oz/2
3 oz: 2 oz: 1 oz
3 : 2 : 1
What is the range of the function f(x) = 4x – 5 over the interval of 1 < x ≤ 5? Give your answer in interval notation.
Answer:
Hello,
Step-by-step explanation:
[tex]1 < x\leq 5 \ \\\Longrightarrow\ 4 < 4x \leq 20 \ \\\Longrightarrow\ -1 < 4x-5 \leq 15 \\\Longrightarrow\ -1 < f(x) \leq 15 \\\\range=]-1; 15][/tex]
The range of the function f(x) = 4x - 5 will range from -1 to 15.
What are the function and range?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given that the function f(x) = 4x – 5 and the interval is 1 < x ≤ 5. The range will be calculated as,
1 < x ≤ 5
4 < 4x ≤ 20
4-5<4x - 5< 20-5
-1 < 4x - 5 < 15
Therefore, the range of the function f(x) = 4x - 5 will range from -1 to 15.
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Someone help with this too pls
Answer:
the answer is 18 months==1 year 6 months
What is the y intercept of the line
Answer:
2 is the y-int.
Step-by-step explanation:
Becuase the line runs through the y-axis at 2.
Makayla and Nathan both leave the library at the Same time, but in opposite directions. If Nathan travels 8 mph faster than makayla and after 6 hours they are 192 miles apart, how fast is each traveling?
The speed of Makayla and Nathan are 12 mph and 20 mph respectively.
What is relation between speed and time?A moving body's speed is the distance it travels in one unit of time. If the distance is in kilometers and the time is in hours, the speed is in kilometers per hour. If the distance is expressed in meters and the time is measured in seconds, the speed is measured in meters per second.Let the speed of Makayla is 'x' mph.
and the speed of Nathan is 'y' mph.
The total distance travelled by both is 129 miles.
The time taken by each is 6 hours, same for both.
Speed = distance / time
Distance = speed × time
Makayla's covered distance = xt
Nathan's covered distance = yt
Total distance = xt + yt
xt + yt = 192
As, Nathan travels 8 mph faster than makayla.
The,
y = x + 8, t = 6 hours substitute;
xt + (x+ 8)t = 192
2x + 8 = 192/6
On simplification;
x = 12 mph (Makayla's speed)
Y = x + 8
y = 12 + 8
y = 20 mph (Nathan's speed)
Therefore, the speed of Makayla and Nathan are x = 12 mph and y = 20 mph respective;y.
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which expression represents an irrational number
The length of a rectangle is 4yd longer than its width.
If the perimeter of the rectangle is 68yd, find its length and width.
Pentagon Question
The sides add to 63, so:
[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]
Rectangle Question
If the width is w, then the length is w+4.
This means that 2(w+w+4)=68.
[tex] 2(2w+4)=68 \\ \\ 2w+4=34 \\ \\ 2w=30 \\ \\ w=15[/tex]
So, the length is 19 and the width is 15.
A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be
bought by paying $200 down and $50 a month for 14 months. How much is saved by paying the total amount at the
time of the purchase?
Holly earns 4% simple interest over 5 years. Which equation represents the amount in hollys account in terms of the principle?
A = p +0.2p
We don't know the value of P, so it stays unknown.
The r is the interest rate as a decimal. we know that r = 0.04 because we're told the interest rate is 4%. Note that 4% = 4/100 = 0.04
The time in years is t = 5
So this means...
A = P + P*r*t
A = P + P*0.04*t ... replace r with 0.04
A = P + P*0.04*5 ... replace t with 5
A = P + P*0.2 ... multiply
A = P + 0.2*P ... swap term
A = p +0.2p
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Guys I don’t know the answer tell me the remainder too
Answer:
119 R5
divide divide divide divide
The answer is
.119 R 12.........................................
what is the unit digits of 3^40
Answer:
1
Step-by-step explanation:
the answer is 1.21576655000000000.
the unit of this no. is 1.
Simplify the following by combining all constants and
combining the a and b terms using exponential notation.
-3aaaaaa5bbbbb =
Answer:
-15a⁶b⁵
Step-by-step explanation:
-3aaaaaa5bbbbb
= -3a⁶5b⁵
= -15a⁶b⁵
I hope this helps!
What is the expanded form of nine billion, eight hundred ninety-two million, eight hundred forty-six thousand, four hundred thirty-seven?
Answer:
9, 892, 846, 437
Step-by-step explanation:
9 billion = 9,000,000,000
8 hundred million = 800, 000, 000
9 ten million = 90, 000, 000
2 million = 2, 000, 000
8 hundred thousand = 800, 000
4 ten thousand = 40, 000
6 thousand = 6000
4 hundred = 400
3 ten = 30
7 one = 7
Add them all together = 9, 892, 846, 437
Hope this helped! ^^
Suppose you invest in an annuity that pays 5% annual interest, compounded quarterly. If you contribute $400 every quarter for 20 years, how much interest would you earn during the 20 years? Enter your answer, rounded to the nearest cent, without the dollar sign or comma ($23,678.1235 should be entered as 23678.12.)
If you contribute $400 every quarter for 20 years, the amount of interest you would earn during the 20 years is $22,447.52
What future value formula is applicable in this case?
The applicable future value formula is that of an ordinary annuity which determines the future worth of $400 quarterly savings for 20 years bearing in mind that the quarterly interest rate is the annual interest rate divided by 4
FV=PMT*(1+r)^N-1/r
FV=worth of the annuity after 20 years=unknown
PMT=quarterly deposit=$400
r=quarterly interest rate=5%/4=1.25%
N=number of quarterly savings in 20 years=20*4=80
FV=$400*(1+0.0125)^80-1/0.0125
FV=$54,447.52
interest=$54,447.52-($400*80)
interest=$ 22,447.52
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80% of the frogs in a pond are spring peepers. If there are 200 frogs in the pond, how many spring peepers are there?
Answer:
160
Step-by-step explanation:
If 80% of the frogs in a pond are spring peppers, and there are 200 frogs in the pond, to find how many spring peppers are in the pond, find 80% of 200.
[tex]\begin{aligned} \sf \implies 80\% \textsf{ of }200 & = \sf 80\% \times 200\\\\& = \sf \dfrac{80}{100} \times 200\\\\& = \sf \dfrac{80}{100} \times \dfrac{200}{1}\\\\& = \sf \dfrac{80 \times 200}{100 \times 1}\\\\& = \sf \dfrac{16000}{100}\\\\& = \sf 160\end{aligned}[/tex]
Therefore, there are 160 spring peppers in the pond.
is 25 a perfect cube?
Answer: no 25 is a perfect square
Step-by-step explanation:
Is the power set of {2,3,4,5} a subset of the power set of {1,2,3,4,5,6}? Why or why not?
we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.
We are given a power set:
A = {1, 2, 3, 4, 5, 6}
We are also given another power set:
B = {2, 3, 4, 5}
We need to tell if B is a subset of A or not.
We can see that every element of B is a part of A as well.
So, we can say that B is a subset of A.
B ⊂ A
{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}
Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.
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The sum of one and six times a number is -113. What is the number?
Answer: -19
Step-by-step explanation:
n=number
6n+1=-113
6n=-114
n=-19
Identify a pattern in each list of numbers. Then use this pattern to find the next number. 5, 12, 33, 96, 285, ___
Answer:
852
Step-by-step explanation:
You want the next number in the pattern that starts with 5, 12, 33, 96, 285.
PatternWhen looking for patterns in sequences, it is often useful to consider first differences and the relations between them.
12 -5 = 7
33 -12 = 21
96 -33 = 63
285 -96 = 189
We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.
The next number in sequence is 285 +567 = 852.
__
Additional comment
When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.
Exponential regression gives the explicit formula as ...
y = (3 +7·3^(x-1))/2
Kelsey made cupcakes to sell as a fundraiser for her trip to Washington DC.
She purchased one cupcake pan for $12. She calculated that the ingredients
cost her $0.25 per cupcake. She plans to sell the cupcakes for $0.75 each.
a. Write an equation that could be used to find the number of cupcakes
(x) she will need to sell to break even.
b. Solve the equation from part a. Explain how you know
is correct.
c. If she sold 184 cupcakes, what was her profit?
your answer
Answer:
a. 12= 0.50x
b. x=24 because if 0.5 times x is 12 then 12 *2 is x
c. 80$
Step-by-step explanation:
Its above.
Find X if
• B is between A and C;
• AB = x+5;
BC= 2 (x-3); and
AB ~ BC
You’re assisting a craft vendor at a fair who sells 5 knit hats for $9.50 each. She then sells the sixth and seventh for $11.25 each, and the eighth and ninth for $8.75 each. At the end of the fair, she is charged 15% of her gross earnings for the booth space. How much money does she make after paying for the booth space?
She earned a total of:
[tex]5(9.50)+2(11.25)+2(8.75)=\$ 87.50[/tex]
If she pays 15% for the booth space, she keeps 85%.
[tex]87.50(0.85) \approx \boxed{\$ 74.38}[/tex]
PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula [tex]\sf{V=\dfrac{1}{3}\pi r^2h[/tex]
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
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Given f(x)=3x-5, find f(x-2).
Step-by-step explanation:
1 i think becoz if you shift it will become x= 2 so on putting it on eq. we will get 1
Answer:
Step-by-step explanation:
F(x) = 3x-5
F(x-2) = 3(x-2)-5
3x-6-5
3x-11
0 = 3x-11
11=3x
11/3 = x
The answer would be x = 11/3 or 3.67 I believe.
Write the following equation in slope-intercept form. State the slope and y-intercept.
-18x-9y= 7
The slope and y-intercept of the line is 2 and -7/9 respectively
slope intercept form of an equationThe formula for calculating the slope intercept form of an equation is expressed as:
y = mx + b
where
m is the slope
b is the y-intercept
Given the equation -18x-9y = 7
Write in slope intercept form
-9y = 18x + 7
y = -18/9 x - 7/9
Compare
m = -2
b = -7/9
Hence the slope and y-intercept of the line is 2 and -7/9 respectively
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How do you write 2204000000 in scientific notation?
Answer:
2.204×[tex]10^{9}[/tex]
Step-by-step explanation:
Convert to scientific notation.
