Answer:
average = 9
(the third number is the average)
Step-by-step explanation:
If the sum of three numbers is 27, then the average (mean) is the total (27) divided by the number of values (3):
⇒ 27 ÷ 3 = 9
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
However, if you want to find the actual numbers:
Let x = first number
Let y = second number
Let z = third number
Given:
The sum of three numbers is 27 ⇒ x + y + z = 27The second number is three times the first ⇒ y = 3xThe third number is twice the first ⇒ z = 2xSubstitute y = 3x and z = 2x into x + y + z = 27 and solve for x:
⇒ x + 3x + 2x = 27
⇒ 6x = 27
⇒ x = 4.5
y = 3x
⇒ y = 3 x 4.5
⇒ y =13.5
z = 2x
⇒ z = 2 x 4.5
⇒ z = 9
Therefore, x = 4.5 y = 13.5 and z = 9
which means z (the third number) is same value as the average
how many is
x + 54 = 987? Pls step by step
Answer:
X=933
Step-by-step explanation:
987-54=933
Solve: 3x + 2y = 11 and 6x - 2y = 25.
Answer:
x = 4, y = -0.5
or (4,-0.5)
Step-by-step explanation:
Given:
3x + 2y = 11. . . (i)6x - 2y = 25. . . . (ii)Solution:
Adding equations (i) and (ii):
==> (3x + 2y) + (6x - 2y) = 11 + 25
2y gets cancelled:
==> 9x = 36
dividing the equation by 4:
==> x = 4
Substituting 4 for x in equation (i):
==> 3(4) + 2y = 11
==> 12 + 2y = 11
subtracting 12 from both sides:
==> 2y = 11 - 12
==> 2y = -1
dividing both sides by 2:
==> y = -1/2
==> y = -0.5
if a person bikes 3 miles at 12 miles per hour, how long does it take them to reach the end? Answer in minutes
Answer
I think it is 144 minutes but I'm not sure. Never mind it is correct because I checked my answer.
Answer:
15 minutes
Step-by-step explanation:
3 miles/12 miles per hour = 0.25
0.25 * 1hr = 15 minutes
Simplify the expression.
2/5y−4+7−9/10y =
PLEASE WHOEVER TELLS ME THIS (CORRECT) ANSWER ILL MAKE ANOTHER QUESTION WITH 30 POINTS
Answer:
6y - 1/2y
Step-by-step explanation:
So...
We need to multiply by 5y/5y to write -4 as a fraction with a common denom.
2/5y - 4 * 5y/5y + 7 - 9/10y
Simplify...
Combine the -4 and 5y/5y
2/5y + -4(5y)/5y + 7 - 9/10y
Combine the numer over the common denom
2 - 4(5y)/5y + 7 - 9/10y
Simplify the numerator by factoring 2 out of then 2 out of -4 * 5y and then 2 out of 2(1) + 2 (-2 * 5y)
2(1) - 4 * 5y/5y + 7 - 9/10y
2(1) + 2(-2 * 5y)/5y + 7 - 9/10y
2(1 - 2 * 5y)/5y + 7 - 9/10y
Now multiply -2 by 5
2(1 - 10y)/5y + 7 - 9/10y
Now we do the same 5y/5y with 7
Combine...
2(1 - 10y)/5y + 7(5y)/5y - 9/10y
Combine more.
2(1 - 10y) + 7(5y)/5y - 9/10y
Now we need to simplify more
Distributive property application
2 * 1 + 2 (-10y) + 7 * 5y/5y - 9/10y
Multiply 2 by 1
2 + 2(-10y) + 7 * 5y/5y - 9/10y
-10 by 2
2 - 20y + 7 * 5y/5y - 9/10y
Then 7 by 5
2 - 20y + 35y/5y - 9/10y
Then -20y by 35y
2 + 15y/5y - 9/10y
Now we have to multiply 2 + 15y/5y by 2/2
2+ 15y/5y * 2/2 - 9/10y
Now we write with a common denom of 10y and multiply with a factor of 1
(2 + 15y) * 2/5y * 2 - 9/10y
Multiply 2 by 5
(2 + 15y) * 2/10y - 9/10y
Combine again
(2 + 15y) * 2 - 9/10y
Simplify again with the distrib property
2 * 2 + 15y * 2 - 9/10y
Multiply 2 by 2
4 + 15y * 2 - 9/10y
Then 2 by 15
4 + 30y - 9/10y
Then subtract 9 from 4
30y - 5/10y
Factor out 5 from 30y - 5...
5(6y) -5/10y
5(6y) - 5/10y
Factor 5 out of -5
5(6y) + 5(-1)/10y
Then 5 out of 5(6y) + 5(-1)
5(6y - 1)/10y
Now we cancel more common factors which is 5 here
6y - 1/2y
A house on the market was valued at $461,000. After several years, the value decreased by 9%. By how much did the houses volume decrease in dollars? What is the current value of the hous
Answer:
$41,490
Step-by-step explanation:
9% = 0.09
Do 9% of 461,000
which is 0.09 times 461000.
Answer:
The house decreased by $41490. The current value of the house is $419510
Step-by-step explanation:
The house starts at 100% value and goes down by 9%.
100-9 is 91
you move the decimal over 2 places to the left and get .91
you multiply 461000(.91) and you get 419510
that's the current value on the house
to find the amount, lost subtract
416000-419510
and you get $41490.
I need help please someone help. I have to convert from base 10 to another base.
Answer:
it is 2ca base 16
what is the domain of the given relation {(2,2),(3,2),(2,3),(1,4}
Check the picture below.
The table below shows the median weekly earnings of a certain population of workers. If this trend continues, predict the median weekly earnings in 2016. For this
exercise, find a linear and a quadratic regression equation and use both to predict the earnings in 2016. Let x be the number years since the year 2000 and y be
the weekly earnings in dollars
2002 2004
2006
2008 2010
Year
Weekly Earnings
Kin dollars)
567
580
616
625
618
A linear regression equation is y=[]
(Use integers or decimals for any numbers in the equation Round to three decimal places as needed)
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A regression can take several forms such as linear models and quadratic models
The linear regression equation is: [tex]y = 7.35x + 557.1[/tex] and the quadratic regression equation is [tex]y = -1.196x^2 +21.707 x+523.6[/tex]
How to determine the regression equationsThe data set is given as:
x 2 4 6 8 10
y 567 580 616 625 618
Next, we make use of a graphing calculator to determine the regression equations
From the graphing calculator, we have the following calculation summary
Sum of X = 30Sum of Y = 3006Mean X = 6Mean Y = 601.2Sum of squares (SSX) = 40Sum of products (SP) = 294So, the linear regression equation is:
[tex]y = 7.35x + 557.1[/tex]
And the quadratic regression equation is:
[tex]y = -1.196x^2 +21.707 x+523.6[/tex]
Read more about regression equations at:
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8. If most people score a 90 or higher on this exam (assume the mean is between 75-85), the
distribution will be:
a. Negatively skewed
b. Positively skewed
c. Not skewed (normally distributed)
d. Mesokurtic
Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.
A. 12.2 square units
B. 24.4 square units
C. 6.1 square units
D. 37.0 square units
A rectangle has a length of 26 yards less than 8 times it’s width. If the area of the rectangle is 682 square yards, find the length of the rectangle.
Answer:
Length is 62 yards
Step-by-step explanation:
A = wL
L = 8w-26
682 = w(8w-26)
682 = 8w^2 -26w
0 = 8w^2 - 26w - 682
Use the quadratic formula (it's really hard to type it but just look it up if you want to see the explanation)
w = 11
L = 8(11) - 26 = 62 yards
Check: 62(11) = 682
Riley makes a necklace for his sister. Twelve beads take up 5 inches of string.
How many beads fit on 1 foot of string?
Hey how was your day? What did you do today?
Answer:
28.8
If rounded 28
Step-by-step explanation:
If every 12 beads takes up 5 inches that means that 1 foot (12 inches) would be divided by 5 (12/5) (A. 2.4) and then multiplied by 12. which would give you 12.8 or since you cant have 28.8 beads, you can only put on 28 when rounded.
Use the diagram to find the angle measures
of the triangle. Recall that the sum of the
angle measures of a triangle is 180º.
9x
(x+4)
.
x =
(x+4)° = °
9x =
Answer:
x=16
(x+4)=20
9x=144
Step-by-step explanation:
9x+x+4+x=180
11x+4=180
11x=180-4
11x=176
[tex]x = \frac{176}{11} [/tex]
x=16
Quadrilateral KLMN is similar to quadrilateral OPQR. Find the measure of side QR.
Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
M
21
N
R
13
K
43
0
Answer: 12.6=13
Step-by-step explanation:
Which expression is equivalent to 2^4 x 2^-7
Answer:
[tex]2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }[/tex]
Hope it helps ⚜
Solve for X Please!!
Preferably All of them
Answer:
10) 54
11) 128
12) 12
13) 47
14) 21
15) 3
16) 163
17) 45
18) 11
QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get pocket money after he finishes all his homework every day. The amount of pocket money will be double the amount previous day. He will start first day with R1. He can use this saving for his matric dance.
3.1 Write the information as a sequence.what is the sequence of this information?
The formula for obtaining the value of a term of a sequence is given as a
as a recursive formula.
Responses:
The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...The sequence of the information is a geometric sequenceHow is the given information expressed as a sequence?The amount of pocket money Smith gets = 2 × The amount he gets in the previous day
The amount Smith gets on the first day = R1
Required:
The given information expressed as a sequence.
Solution:
The amount of money smith gets can be expressed as follows;
Amount he gets on day 1 = R1
On day 2, R2 = 2·R1
On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1
On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1
On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1
The information written as a sequence is therefore;
R1, 2·R1, 4·R1, 8·R1, 16·R1, ...The type of sequence is a geometric sequence, or progression where the first term is R1, and the common ratio, r = 2Learn more about geometric sequence here:
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In the Trendline option window (curve fitting), the Set Intercept value is set to zero. What does this mean
Answer:
the data is modeled as a proportion
Step-by-step explanation:
When the trendline is chosen to be linear, the intercept value can be computed from the data, or it can be set to some value of your choosing. When it is set to zero, the data is approximated by a line that goes through the origin. That is, the model is of a proportional relationship.
Please help, I am so confused. If anyone understands this please help
Answer:
12 ft
Step-by-step explanation:
It is sometimes helpful to start from what you are given and see what develops.
Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:
ΔALC is a 30°-60°-90° triangle, so you know its side ratios∠LAB = 30°, so ΔALB is isosceles and AL = LBThe side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.
AL = 2 × (6 ft) = 12 ft
We know that AL = LB, so LB = 12 ft.
What’s the correct answer for this?
Answer:
201 minutes
Step-by-step explanation:
60 x 3 = 180
180 +21 = 201
Sharon wants to distribute 56 stickers evenly between 8 students. How many stickers should she give to each student?
Answer:
7 stickers to each student.Step-by-step explanation:
Sharon has 56 stickers.
Sharon distributes evenly between 8 students.
Given equation:
56 ÷ 8Solve:
56 ÷ 8= 7.Sharon gives 7 stickers to each student.
please please please I'm begging I need help ....... Describe the difference between these two straight lines.
Answer:
From the graph, the answer should be crisscross and perpendicular.
Step-by-step explanation:
Both are straight lines. As they have same slopes. They are parallel to each other. They do not crisscross each other and is not perpendicular.
Micah is buying items for a birthday
party. If he wants to have the same amount of each
item, what is the least number of packages of cups
he needs to buy?
Help thanks
Answer:
Micah needs to buy 4 packs of cups and 3 packs of plates.
Step-by-step explanation: Micah wants to buy the same amount of both the supplies, so we have to find the LCM of 8 and 6, which would be 24. 6x4=24 and 8x3+24. Good Luck and Stay Brainly!
The cost of 4 dozen bananas is rupee 60. How many bananas can be purchased for rupee 12.50?
Answer:
10 bananas
Step-by-step explanation:
Compare same things in the same order to write a proportion
(fraction = fraction)
bananas/rupees
=4dozen/R60
=4(12)/R60
=48/60
=4/5
The question says
bananas/rupees
=unknown/R12.5
4/5 = x/12.5
crossmultiply
4(12.5) = 5x
50 = 5x
divide by 5
10 = x
You can buy 10 bananas for R12.5
10 bananas
Step-by-step explanation:
In ₹60, we can purchase 4 dozen bananas
=> 4×12
=> 48 bananas
In ₹1, we can purchase:-
[tex] \frac{48}{60} [/tex]bananas
In ₹12.50, we can purchase:-
[tex] \frac{48}{60} \times 12.50[/tex]
[tex] = > \frac{48 \times 1250}{60 \times 100}[/tex]
[tex] = > \frac{8 \times 125}{100}[/tex]
By reducing to lowest terms, we get,
[tex]10[/tex]
Hence, 10 bananas can be purchased for ₹12.50
Dominic and Candice are both selling cookie dough for a fundraiser. Although Dominic has already sold 5 tubs, Candice hasn't sold any yet. If Dominic starts selling 6 tubs per day and Candice begins selling 7 tubs per day, they will eventually sell the same amount of cookie dough. How many tubs will each sell? How many days will that take?
Answer:
5 days, 35 tubs
Step-by-step explanation:
We can create an equation.
Let d be the number of days it will take.
Note that in all Dominic will have sold 6d + 5 tubs, and Candice 7d.
So, if 6d - 5 = 7d then d = 5.
So, it will take 5 days, and each will have sold 6 * 5 + 5 = 7 * 5 = 35 tubs of cookie dough.
if y=2x^2-5x-3 find the value of y if x= -1
Answer:
y = 4
Step-by-step explanation:
First we want to raise -1 to the power of 2
y = 2 * 1 - 5 * -1 - 3
Multiply
2 - 5 * -1 - 3
Multiply
y = 2 + 5 - 3
y = 7 - 3
y = 4
Alan has 13 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F. Then graph your equation using the axes below.
Answer:
13-f=n
Step-by-step explanation:
he starts with 13 folds some number "f" of them and has some number "n" still to do
The linear equation that links N and F in the previously stated condition is N + F = 13.
What is a linear equation?
Because a straight line emerges when we attempt to display the graph of the provided linear function, a linear equation is known as linear.
Given Alan has 13 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them.
The linear equation that satisfies the above statement is
N + F = 13
therefore, N + F = 13 is the linear equation that relates N and F in the above-given condition.
Learn more about linear equations here:
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Write an equation for the line parallel to the line 5/8x−7/6y =2 through the point (7,−1).
[tex]y = - \frac{28}{48x - 15} - \frac{125}{321} [/tex]is the answer.
Step-by-step explanation:
For this question,
• First, find the slope of the line parallel to the line 5/8x−7/6y=2 :-
[tex]m = - \frac{28}{ - 15 + 48x} [/tex]
•Second, find the equation of the line,
[tex]y = - \frac{28}{48x - 15} - \frac{125}{321} [/tex]
Order these expressions for least to greatest:
A.∛-8, B. 0, C. 8, D. 6, E. ∛8 , F. √10, G. ∛-27, H. ∛27
Answer:
^3sqrt(-27), ^3sqrt(-8), 0, ^3sqrt(8), ^3sqrt(27), sqrt(10), 6, 8
Step-by-step explanation:
You just need to convert these to decimals to figure it out.
In our case
^3sqrt(-27) = -3
^3sqrt(-8) = -2
^3sqrt(8) = 2
^3sqrt(27) = 3
sqrt(10) = 3.16
So...
-3, -2, 0, 2, 3, 3.16, 6, 8
You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do
you have in each subject?
You have math problems.
You have science problems
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