Jane Peter and Simon have $395 which they wish to divide between them Jane gets $20 more than Peter and Peter gets $15 more than Simon how much does each get
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Related Questions
what is the square root of 56x^7
Answers
If f(x)=2x-4, find f(q+1)
please show your work!
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If the function f(x) = 2x-4, the function f(q + 1) = 2q - 2
What is a function?A function is a mathematical equation that shows the relationship between two variables.
Since if f(x)=2x-4, to find f(q+1), we proceed as follows.
Since we have the function f(x) = 2x - 4, and we want to find f(q + 1). To find the function f(q + 1), we substitute x = q + 1 into the equation. so, we have that
f(x) = 2x - 4
When x = q + 1, we have that
f(x) = 2x - 4
f(q + 1) = 2(q + 1) - 4
Expanding the brackets, we have that
f(q + 1) = 2q + 2 - 4
= 2q - 2
So, f(q + 1) = 2q - 2
Learn more about function here:
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A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 99% confident that her estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?
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σ = $1050, ppulatin standard deviation
99% confidence interval
Accuracy = +/- $200
The accuracy is given by
z*(σ/√n)
where
z* = 2.576 for 99% confidence level (from tables)
n = sample size
Therefore
2.576(1050/√n) = 200
√n = (2.576*1050)/200 = 13.524
n = 182.9
Answer: The sample size is 183
The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality?
Hot Pepper Corn | Caramel Corn
5_______________8
10 _____________ 16
15______________ 24
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For this problem,let's divide each row of values to get the ratio. The ratio for all of this pair of values must coincide with each other. The solution is as followsL
Hot Popcorn Corn/Caramel Corn
5/8 = 5/8
10/16 = 5/8
15/24 = 5/8
Therefore, the ratio is 5/8. It can also be in decimal form which is equal to 0.625.
a washer and dryer cost $978 combined the washer cost $78 more than the dryer what is the cost of the dryer
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Answer:
$450
Step-by-step explanation:
2x+78=978
2x=900 [subtract 78 from both sides]
x=450 [divide both sides by 2]
Cual es el minimo comu multiplo de 81,27,9
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Eso es porque
81*1= 81,
27*3=81,
y 9*9=81.
What is the solution to the equation x + 8.5 = 64.5? 7.6 48 56 73
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x + 8.5 = 64.5
- 8.5 - 8.5
---------------------------
x = 56
x + 8.5 = 64.5
Reorder the terms:
8.5 + x = 64.5
Solving
8.5 + x = 64.5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 64.5 + -8.5
Combine like terms:
8.5 + -8.5 = 0.0
0.0 + x = 64.5 + -8.5
x = 64.5 + -8.5
Combine like terms: 64.5 + -8.5 = 56
x = 56
Simplifying x = 56
Which polynomial is a difference of two squares?
x2 − 16
x2 + 16
x2 − 8
x2 + 8
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x^2 - 16 = (x)^2 - 4^2, difference of two squares :)
(a^2-b^2)
I believe that they might just want you to select
(x^2-16) which factors to (x-4)(x+4)
But there is nothing mathematically incorrect in doing the same for:
(x^2-8) which factors to (x-√8)(x+√8)
A person in the audience of a game show has a 12% chance of winning free movie tickets. What is the chance that a person in the audience does not win free movie tickets? 24% 38% 72% 88%
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ANSWER FOR 15 POINTS!!
Which number(s) below belong to the solution set of the inequality? Check all that apply. (Meaning tell me all the ones that apply.)
x + 16 > 51
A. 16
B. 35
C. 80
D. 38
E. 55
F. 34
Answers
x+16>51
minus 16 both sides
x>35
so any number greater than 35 will work
A doesn't work
B doesn't work
C works
D works
E works
E works
F doesn't work
answers are C,D, E
ms campbell invested $7200 for 2 1/2 years. if she earned $756, at what rate did she invest her money. using I=PRT and the answer in percent form
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Given I=PRT
Rearrange the formula to find R
I / PT= R
756 / (7200 * 2.5) = R
756 / 18000 = R
0.042 = R
so R = 4.2%
which expression is equivalent to 6a + 12
6(a+6)
3(3a+9)
6(a+9)
2(3a+6)
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6(a + 2) ...not an answer choice
OR
6a + 12....factor out 3
3(2a + 4) ...not an answer choice
OR
6a + 12....factor out 2
2(3a + 6) <==== this one
What process can you use to help you write a system of linear equations when dealing with mixture problems
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the length of a rectangle is 3 centimeters greater than its width the perimeter is 24 cm what are the dimensions of the rectangle
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The price of an item has been reduced by 80%. The original price was $45. What is the price of the item now?
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100(final-45)/45=-80 multiply both sides by 45
100(final-45)=-3600 divide both sides by 100
final-45=-36 add 45 to both sides
final=9
So the price of the item now is $9.
In a line of students, Jenna is number 8. The teacher says that a rule for a number pattern is add 4. The first student in line says the first term, 7. What number should Jenna say?
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Hope this helps!
The Tunnel of Fear ride climbs straight up to its peak 50 meters above the ground. Then, it drops 65 meters into an underground tunnel. What is the elevation of the tunnel relative to the ground?
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Answer:
-15
Step-by-step explanation:
Which of the following best describes the expression 7(x + 9)?
A.) The product of a constant factor 7 and a 2-term factor x + 9
B.) the sum of a constant factor 7 and a 2-term factor x + 9
C.) the sum of a constant factors 7 and x + 9
D.) the product of a constant factors 7 and x + 9
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A.
got it right on my test, flvs
convert 72832 ounces' to tons?
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find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square units d. 12.6 square units
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We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Plzzz help me with part A ,B and C
Answers
A) yes they are similar since both use the same angle P, the angle of line PQ is the same as PA and they are both right triangles.
B) Line AB corresponds to QR - they are both the base of their triangles.
C) Angle A corresponds to angle Q. Q is the lower left angle in triangle PQR and angle A is the lower left angle in triangle PAB and are the same degree
A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points does each girl average?
Answers
8 x 12 = 96
136-96 =40
40/4 = 10
each girl averages 10 points
the boys have 8 player
EX. 12x8=96
136-96=40
There are four girls so 40 is divided evenly so the answer is 10 points a game
PLEASE HELP ME!!!
What is the simplified form of the quantity 15 x y squared over x squared minus 5x plus 6 all over the quantity 5 x squared y over 2x squared minus 7x plus 3 ?
Answers
[tex]\frac{3y(2x-1)(x-3}{x(x-6)(x+1)} [/tex]
Answer: [tex]\frac{3y(2x-1)}{x(x-2)}[/tex]
Step-by-step explanation:
Given problem to simplify is [tex]\frac{\frac{15xy^2}{x^2-5x+6} }{\frac{5x^2y}{2x^2-7x+3} } \\\\=\frac{15xy^2}{x^2-5x+6}\cdot\ \frac{2x^2-7x+3} {5x^2y}............\text{(by fractional division property,the denominator invert and its reciprocal multiply to numerator)}\\\\=\frac{15xy^2}{(x-3)(x-2)}\cdot\frac{(x-3)(2x-1)} {5x^2y}.........\ \text{(factorizing quadratic equation)}[/tex]
[tex]=\frac{3y(2x-1)}{x(x-2)}........\text{(cancelling like terms with same degree and coefficients from numerator and denominator)}[/tex]
so the simplified form of the given problem is [tex]\frac{3y(2x-1)}{x(x-2)}[/tex]
Chale bought some packages of pens. He bought one package containing 5 pens and *n* packages containing two pens each. Which of the following expressions could be used to find the total number of pens that Chale bought?
A)7n
B)10n
C)5n+2
D)2n+5
Answers
n*2 = 2n [and n packages containing two pens each]
So the total number of pens that he bought is 2n+5
This is because you know how many packages of 5 pens he bought which is 1. So that stays the same. you are trying to figure out how many packages of 2 pens he bought so that is a variable. so to find the total number of pens it is 2n+5.
1/5 [4(x+2)-(3-x)]=4
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Hope you wanted this answer ^.^
In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age is added to his grandfathers age is added to his grandfathers present age the total is 68. How old is his grandfather now ?
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Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68
Find the slope and y-intercept of the line. y = 7/5x – 3
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m = slope
b = y intercept
m = 7/5
b = -3 or (0,-3).
Answer:
Slope is [tex]\frac{7}{5}[/tex]
y-intercept is -3
Step-by-step explanation:
Given equation of line,
[tex]y=\frac{7}{5}x-3[/tex]
Since, the slope intercept form of a line is y = mx + c
Where, m is the slope of the line,
By comparing,
[tex]m = \frac{7}{5}[/tex]
Hence, the slope of the given line is [tex]\frac{7}{5}[/tex]
Now, for y-intercept,
x = 0,
[tex]y=\frac{7}{5}(0) - 3 = -3[/tex]
Hence, the y-intercept of the line is -3.
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
Answers
Solution:
Length of wire = 22 feet =AB
Distance between the point where wire is attached to the ground from the point on the ground where pole is fixed= 10 feet=OB
In Right Δ O A B
By Using pythagoras theorem
O A² + OB² = AB²
O A² +10²= 22²
O A²= 484 - 100
O A²= 384
O A= √384= 19.60 (Approximately)
So, the height of pole to nearest hundredth = 19.60 feet
The height of the pole is 19.60 ft
The situation forms a right angle triangle.
Right angle triangleRight angle triangle have one of its sides as 90 degree.
The length of the wire is the hypotenuse of the triangle formed.
The distance of the wire attached to the ground to the base of the pole is the adjacent side of the triangle.
The height of the pole can be found using Pythagoras theorem.
c² = a² + b²
22² - 10² = b²
b² = 484 - 100
b = √384
b = 19.5959179423
b = 19.60 ft
learn more on right triangle here: https://brainly.com/question/12553755
Suppose $16,537.50 in interest was earned after $75,000 was invested at a simple interest rate of 3.15%. How long (in years) was the money invested?
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I=prt
I interest earned 16537.5
P principle 75000
R interest rate 0.0315
T time?
Solve the formula for t
T=I÷pr
T=16,537.5÷(75,000×0.0315)
T=7 years
Answer:
7 Years
Step-by-step explanation:
The number 6√3 is between what two integers and is closer to which integer on the number line.
Between 6 & 7 & is closer to 6
Between 10 & 11 & is closer to 10
Between 6 & 7 & is closer to 7
Between 63 & 64 & is closer to 63
Answers
Answer: integer on the number line. Between 6 & 7 & is closer to 6 Between 10 & 11 & is closer to 10 Between 6 & 7 & is closer to 7 Between 63 & 64 & is closer to 63.
Step-by-step explanation: