Answer:
Profit earn 1st year = $102,300.26
Profit earn 2nd year = $511,501.3
Step-by-step explanation:
Given:
Total profit earn = $613801.5599999999 = $613801.56
Find:
Profit earn each year
Computation:
Assume,
Profit earn 1st year = x
Profit earn 2nd year = 5x
Total profit earn = Profit earn 1st year + Profit earn 2nd year
x + 5x = 613,801.56
6x = 613,801.56
x = 102,300.26
Profit earn 1st year = $102,300.26
Profit earn 2nd year = 5x = 5(102,300.26)
Profit earn 2nd year = $511,501.3
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. What is the probability of
selecting both yellow?
Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
[tex]= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}[/tex]
Thus, the probability of selecting both yellow is 5/22.
factorise 7a + 14b + ax + 2bx
Answer:
Step-by-step explanation:
7(a + 2b) + x(a + 2b)
(7 + x)(a + 2b)
Answer:
(7 + x)(a + 2b) This is most simplified it can be
Simplify the expression 5 (x + 4) – 6(1-5)
Corinna has $72. She wants to buy a $281 plane ticket. She will save up her earnings from working at the museum where she earns $19 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $281? A. n ≥ 11 B. n ≤ 10 C. n ≥ 10 D. n ≤ 11
Answer:the correct answer is b
Step-by-step explanation:
What is the image of (-12,-3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(-4, -1)
Step-by-step explanation:
Multiply both coordinates by 1/3 which is the same as dividing by 3.
Answer: (-4, -1)
Does anyone know what the answer is
Answer:
cheating in entrance
Step-by-step explanation:
circumference: 14π
area: 49π
Answer:
nope
Step-by-step explanation:
help on absolute value!
Answer:
9
Step-by-step explanation:
we have
[tex]|\frac{27}{-3}|\\\\=|-9|[/tex]
and absolute value of -9 is 9
so answer is 9
-3(4x+2)=18 WHAT IS IT????
Answer:
x = -2
Step-by-step explanation:
-3(4x + 2) = 18
Divide by -3:
-3(4x + 2) / -3 = 18 / -3
4x + 2 = -6
Subtract 2:
4x + 2 - 2 = -6 - 2
4x = -8
Divide by 4:
4x / 4 = -8 / 4
x = -2
Joe is making key chains with beads. He wants each key chain to have the same number of beads. He has 90 blue beads and 72 yellow beads. What is the highest amount of key chains he can make?
Answer:1.25
Step-by-step explanation:90/72
Joe can make 9 key chains to have the same number of beads with 90 blue beads and 72 yellow beads.
What are HCF and distributive property?The HCF of two or more than two numbers is the highest number that divides the given two numbers completely.
Joe wants each key chain to have the same number of beads.
∴ HCF of 72 and 90 is 18
Now with those 18 beads 9 each type he can make (90 + 72)/18 key chains.
= 162/18.
= 9 key chains.
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1 gallon is around 3.8 liters. State this as a ratio of liters to gallons, in the form a:b. Give your answer in simplest form
The ratio of liters to gallons in simplest form is 5 : 19.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 1 gallon is around 3.8 liters.
So, The ratio of liters to gallons in a : b form is 1 : 3.8
Or, 10 : 38,
Or 5 : 19.
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If one kilogram equals 2.2 pounds, how many kilograms equal 112 pounds? Round your answer to the nearest hundredth, if necessary. 24.64 kilograms 50.91 kilograms 109.8 kilograms 246.4 kilograms
Answer:
B.) 50.91 kilograms
Step-by-step explanation:
Write an equation that looks like this:
[tex]\frac{kilogram}{pound}= \frac{kilogram}{pound}[/tex]
Insert the information in the appropriate section, with 1 kilogram and 2.2 pounds on the same side:
[tex]\frac{1}{2.2}=\frac{x}{112}[/tex]
Solve for x, which is the number of kilograms for 112 pounds if there is 1 kilogram per 2.2 pounds.
Solve for x. Cross multiply:
[tex]1(112)=2.2(x)\\\\112=2.2x[/tex]
Isolate the variable. Divide both sides by 2.2:
[tex]\frac{112}{2.2}=\frac{2.2x}{2.2}\\\\x= 50.909090...[/tex]
Round to the nearest hundredth (two decimal places to the right):
50.909 → 50.91
If 1 kilogram is equal to 2.2 pounds, then 50.91 kilograms is equal to 112 pounds.
:Done
Answer:
b bc the oter guy is alomost as smort as walter
Step-by-step explanation:
Simplify this radical. [tex]\sqrt{} 84[/tex]
Answer:
2√21
Step-by-step explanation:
[tex]\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}[/tex]
Find the missing angles with reasons.
Answer:
C and D
Step-by-step explanation:
C) C = [360 - 148(2)] divide 2
= 32 degrees
Explanation: 148 and C is an opposite angle so the angles oppose to it has the same value
D) h = 76
Explanation: opposite angles
I = 76
Explanation: transverse angles
j = [360 - 76x2] divide 2
= 104 degrees
Explanation: same as C
Hope this helps!
Tables of Ratios: Mastery Test
Drag each number to the correct location on the table. Not all numbers will be used.
The table gives ratios between distance and time. Complete the table to form equivalent ratios.
10
210
490
Distance (miles)
140
Time (hours)
2
4
5
280
350
420
560
6
8
12
700
Answer: Distance(Miles)
140,420,560
Time(Hours)
5,10
Which of the following numbers is a whole number?
O 03
02
0-8
3
What is the base in -5x2
Answer:
Step-by-step explanation:
10 lol
can someone please help me, I don't know where to begin
Answer:
x=20
Step-by-step explanation:
sum of all the sides is equal to 180degrees
group like terms
solve the question
You have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet. Find the interval for the length of x that you will cover before you need to buy more roof coating.
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5<= x <= 6.5
The interval for the length of x that you will cover before you need to buy more roof coating will be 47.5 ≤ x ≤ 6.5.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.The space occupied by any two-dimensional figure in a plane is called the area.
Given that you have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet.
The formula to calculate the area of the
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5 ≤ x ≤ 6.5
Therefore, the interval will be 47.5 ≤ x ≤ 6.5.
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Which of the following is NOT a type of bank?
OA) savings and loans association
OB) credit union
OC) modern bank
OD) commercial bank
Answer:
OC) modern bank
Step-by-step explanation:
OC) modern bank
There is no such type of bank.
please help ! ALGEBRA 1
Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]0. \overline{79} + \pi[/tex]
Here [tex] 0.\overline{79}[/tex] is a rational number and [tex] \pi[/tex] is an irrational number whose sum gives irrational number.
Answer:
Te answer would be to tenth of PIE so 0.79 would be ruled out
Step-by-step explanation:
help ASAP!!
i need help finding out the pattern of 3 and 4
Answer:
See below.
Step-by-step explanation:
For 3, we have:
1, 3, 6, ___, 15, 21, _____, 36, _______
Let's try to determine the pattern. From 1 to 3, we added 2.
From 3 to 6, we added 3.
So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:
6+4=10
10+5=15.
So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:
1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45
For 4, we have:
100, _____, 64, ______, 36, 25, _______
Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:
10², _____, 8², ______, 6², 5², ______
Therefore, our blanks would be:
10², 9², 8², 7², 6², 5², 4².
Evaluated, this woul be:
100, 81, 64, 49, 36, 25, 16.
And we're done!
please help with the following maths question
Answer:
120 degrees
Step-by-step explanation:
Regular hexagon means all the sides are equal
(6-2)(180)=The sum of interior angles of hexagon
=>720 degree
Therefore each angle=720/number of sides
=720/6=120 degree
So let the marked angle in figure be 'x'
And the adjacent equal angles to x, y
So y+y+x=360 [Angle around point=360]
2y+x=360 [but y=120 degree proved]
240+x=360
x=120
Answer:
the answer is 120 degrees- i dont feel like typing everything out about how i got it but ik thats the answer.
Step-by-step explanation:
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(4)
Answer:
f(g(4) = -11
Step-by-step explanation:
Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.
Output from first function: g(x) = [tex]x^{2} + x[/tex]
g(4) will be evaluated by substitution 4 for x in the above equation.
this will give us [tex]g(x)=4^{2}+4 =20[/tex]
Output from the composite function f(g(4)
The next stage is to input our results from the function g(4) into the function
f(x) = 9 - x. The output from g(4) which is 20, will now become our input.
[tex]f(x)-9-(20)= -11[/tex]
Therefore f(g(4) = -11
Can 6,12, and 18 make a triangle?
By definition, 3 side lengths are a triangle if any 2 side lengths add up to be greater than the third.
We can already see that the side lengths 6 and 12 will add up to a value of 18, which is equal to the last side length, meaning that the three values are not a triangle.
[tex]a=6[/tex]
[tex]b=12[/tex]
[tex]c=18[/tex]
[tex]a+b>c[/tex]
[tex]b+c>a[/tex]
[tex]c+a>b[/tex]
[tex]6+12>18[/tex] (Since this is not true, this is not a triangle)
Hope this helps.
頑張って!
If point A is translated 4 units left and 6 units down, what are the coordinates of A?
A)
(6, 1)
B)
(6, -1)
C)
(-2, 1)
D)
(-2,-1)
Answer:C (-2, 1)
Step-by-step explanation:
A=1/2(B+C-D) SOLVE FOR B
Answer:
B = 2A - C + DStep-by-step explanation:
A = ¹/₂(B + C - D)
×2 ×2
2A = B + C - D
-C+D -C+D
2A - C + D = B
6. Which units do we use when calculating the perimeter? (select all that
apply)
-millimetres
-kilogram
-metres
-centimetres
-kilometres
Answer:
The perimeter is a distance so all length units apply
● millimeters
● meters
● centimeters
if x=7+4√3,find the value of √x+¹/√x
PLEASE HELP, Find the slope of the following lines :D
Multiply (6 − 7i)(3 − 6i).
Answer:
-24 - 57i
Step-by-step explanation:
i'm assuming that this is a question about imaginary numbers and that i²= -1
we can expand the binomial by using the FOIL method (see attached)
(6 − 7i)(3 − 6i)
= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)
=18 - 36i - 21i + 42i² (recall that i²= -1)
= 18 - 57i + 42(-1)
= 18 - 57i - 42
= -24 - 57i