Answer:
Order the data from least to greatest.
Find the median.
Calculate the median of both the lower and upper half of the data.
Ask me if you need more help!
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
Can someone find "BC" for me plz?
Answer:
BC = 104
Step-by-step explanation:
By the SAS postulate, ΔBDA and ΔBDC are congruent, meaning that each of the corresponding sides are equal in length.
BD = BD
AD = CD
BA = BC
If we know BA = 21x - 1 and BC = 9x + 59, then we can set them equal to each other and solve for "x".
BA = BC
21x - 1 = 9x + 59
21x = 9x + 60 Added 1 to both sides
12x = 60 Subtracted 9x from both sides
x = 60/12 Divided both sides by 12
x = 5 Reduced fraction, solved for "x"
To find BC, substitute x = 5 into the equation for BC.
BC = 9x + 59
BC = 9(5) + 59 Substituted "x" for 5
BC = 45 + 59 Multiplied 9 and 5
BC = 104 Added, solved for BC
∴ BC = 104
Tell which number is greater.
37/50, 37%
Answer:
37/50
Step-by-step explanation:
because 37% is out of 100
Answer:
37/50
Step-by-step explanation:
as 37% means 37/100, when 37 is divided by a smaller number such as 50, the result will be greater.
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
pasagot naman mga prii
Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
For more information please refer to the link given below
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5. Adam spent half of his weekly allowance buying lunch. To earn
more money his parents let him shovel snow for $9.30.
What is his weekly allowance if he ended with $15.10?
Three years ago, Jolene bought $675 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 3 5 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
= $963.65
Step-by-step explanation:
Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years
$675 x [1 + (12 + 3/5% ) ]^3 =
$675 x ( 1 + 0.126)^3 = $963.65
answers for both boxes please
Answer:
(x,y)=(4,-1)Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands
Answer:
Tens
Step-by-step explanation:
The 5 in 51 should be above the nine
Answer:
B.
Step-by-step explanation:
2,495 ÷ 48 is 51.97
the tens is the largest place value so thats where you would start
If the elevator ascends or GOES UP 80 meters, is
that represented by 80 or -80?
Answer:
80
Step-by-step explanation:
use the quadratic formula to solve for x. 3x^2+9x+4=0
Answer:
x=−3/2 +1/6√33 or x=−3/2 + −1/6√33Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+9x+4=0
For this equation: a=3, b=9, c=4
3x2+9x+4=0
Step 1: Use quadratic formula with a=3, b=9, c=4.
x=−b±√b2−4ac/2a
x=−(9)±√(9)2−4(3)(4)/2(3)
x=−9±√33/6
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
4 more students
Step-by-step explanation:
10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.
Answer:
10/100*40
=4 more students joined the club
Step-by-step explanation:
Name the vertical angles in the diagram below:
Hey there!
The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.
Hope it helps and have a good day!
Alice says that all the factors of 8 are even write down an example to show that Alice is wrong
Answer:
1 is a factor of 8
Step-by-step explanation:
1*8
Answer:
Step-by-step explanation:
1 x 8
What is the sum of (4s+3)+(2s+1)
Answer:
Step-by-step explanation:
4s+3+2s+1=6s+4
Which equation has the slope of -2/7 and contains the point (5,-6)?
Answer:
i would go for B
Step-by-step explanation:
A family eats at a restaurant. The bill is 42.
The family leaves a tip and spends 49.77 total.
How much money does the family tip?
How much is the tip as a percentage of the bill?
Point O is the incenter of ΔABC.
Point O is the incenter of triangle A B C. Lines are drawn from the point of the triangle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle Q A O is (2 x + 6) degrees, angle O A S is (4 x minus 12 degrees), and angle Q B O is (3 x minus 15) degrees.
What is m Angle Q B O?
5°
9°
12°
24°
Answer: the answer is 12
Step-by-step explanation:
2x+6 =4x-12
-2x=-18
x=9
3(9)-15
27-15
12
You want to cook some desserts for your 10 friends within 2 hours. It will take you 15 minutes to make a waffle and 5 minutes to make a chocolate cookie. Write a system of inequalities to express this situation. What is the most possible number of waffles you can make and still meet the requirements ? waffles
Answer: 7 waffles
Step-by-step explanation: trust me pls. you have a total of 120 minutes. 7 waffles takes you 105 minutes, and the remaining 15 minutes can be spent on 3 cookies.
Find the angle with the smallest measure in △ VUW. Name the angle using three letters
Answer:
∠VUW
Step-by-step explanation:
A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.
In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.
The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.
Hence the smallest angle = ∠VUW
solve for x.
3x - 8x + 2 = 17
X=
Answer:
-3
Step-by-step explanation:
3x-8x=17-2
3x-8x=15
-5x=15
-x=15/5
-x=3
x=-3
If you were serving pumpkin pie at your Thanksgiving dinner, how much pie would 8 guests receive? What about 4 guests? 2 guests?
Answer:
Step-by-step explanation:
if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but.. we all know that there is always one piece that is bigger and we all want that piece :P b/c pumpkin pie is good
1/8
1/4
1/2
respectively for each of the questions
what is the quotient 5 divided by 30
Answer: 6
Step-by-step explanation:
30÷5=6
7, 3, -1, -5, what is the sequence
Answer:
-4
Step-by-step explanation:
7-4=3
3-4=-1
-1-4=-5
Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $2 per miletowed. Write a function expressing Linda's towing cost, C, in terms of miles towed, x. Find thecost of having a car towed 14 miles.
The cost of having a car towed 14 miles is $103.
To express Linda's towing cost, C, in terms of miles towed, x, we can use the given information that Little Town Auto charges a flat fee of $75 plus $2 per mile towed.
The function for the towing cost, C, can be written as:
C(x) = 75 + 2x
Where x represents the number of miles towed.
To find the cost of having a car towed 14 miles, we substitute x = 14 into the function:
C(14) = 75 + 2(14)
C(14) = 75 + 28
C(14) = 103
Therefore, the cost of having a car towed 14 miles is $103.
To know more about cost click here :
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4(x-5)=10(x-10)
solve for x
Answer:
40/3
Step-by-step explanation:
4x -20 = 10x -100 (Distributive Property)
4x -10x = -100 +20 (I swith the numbers so all of them are similar)
-6x= -80 (Divide -6 on both sides)
And you will get 40/3 or 13.3333..
Answer:
x = 40/3
Step-by-step explanation:
4(x-5)=10(x-10)
=> 4x - 20 = 10x - 100
=> 4x - 10x = - 100 + 20
=> -6x = -80
=> x = 80/6
=> x = 40/3
Please help, i took a picture of the question.
Answer:
1.125 m squared
Step-by-step explanation:
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?
Answer:
$2,854.2
Step-by-step explanation:
For Sebastian
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.
1 year = 12 months
10 years = x
Cross Multiply
x = 10 × 12 = 120 months
He pays $296.66 monthly
Hence, the total amount he paid in 10 years =
$296.66 × 120
= $35,599.2
The loan he took was $30,000.
Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000
= $5,599.2
For Jana
Jana paid off a loan for the same
amount at the same interest rate in 5 years by paying $545.75 per month.
1 year = 12 months
5 years = x
Cross Multiply
x = 10 × 5 = 60 months
He pays $545.75 monthly
Hence, the total amount he paid in 5 years =
$545.75 × 60
= $32,745
The loan she took was $30,000.
Hence, the interest Sebastian paid on his loan = $32,745 - $30,000
= $2,745
How much more did Sebastian pay in interest than Jana?
This is calculated as:
The interest Sebastian paid - The Interest Jana paid
= $5,599.2 - $2,745
= $2,854.2
Therefore, Sebastian paid $2,854.2 more than Jana
a half of 48 divided by6multiplied by4 plus 3 minus 2
Answer: 17
Step-by-step explanation: thx
Answer: 9 using pemdas
Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.
Tim had $150.00 to spend on three pairs of pants. After buying them, he had $30.00 left over. What equation expresses how much each pair of pants cost?
Answer:40$
Step-by-step explanation: if all the prices are equal we 150-30equels 120 ➗ 3 equals 40 hope this helps
solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)
Answer:
4x-3y=8
Simplifies to x=3/4y+2
2x+5y=-9
Simplifies to -5/2y+-9/2