Answer:
−(7p+6)−2(−1−2p) = - 3p - 4
Step-by-step explanation:
−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p
= (-7p + 4p) + (2 - 6)
= -(7p - 4p) - (6 - 2)
= - 3p - 4
A train travels from Washington D.C. to New York (225 miles). The train departs at 4:55 PM and arrives in New York at 7:55 PM. What is the average speed of the train?
7:55 pm - 4:55 pm = 3 hours
225 miles / 3 hours = 75 miles per hour
Average speed = 75 miles per hour
The sum of a number x and 2,496 is 17,344. What is the value of x?
What is the volume of the prism if its 2 centimeters long tall 12 centimeters wide and 25 centimeters long
Answer:
600 cm
Step-by-step explanation:
L*W*H SO IT WILL BE 2*12*25
A bag contains 3red, 4white, 5green balls. Three balls are selected without replacement. Find the probability that the three balls chosen are:
A) all red
B) all green
C)one of each color
Answer:
A. 1/220 B. 1/22 C. 3/11
Step-by-step explanation:
This question uses combinations -- counting the number of ways a selection can be made from a set of objects (without arranging them after the selection is done).
Notations for combinations:
The number of ways to select r things from a set of n things is
[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex] where the exclamation points mean factorial.
[tex]n!=1\cdot2\cdot3\ldots\cdot n[/tex] and 0! is defined to be 1.
There are two other commonly used symbols for this:
[tex]_nC_r[/tex] and [tex]n \choose x[/tex].
In all three parts, the number of ways to choose 3 balls from a set of 12 is
[tex]C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot4\cdot3\cdot2\cdot1}{(3\cdot2\cdot1)(9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}[/tex]
Notice that 9 factors in the denominator cancel 9 factors in the numerator, leaving
[tex]C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10}{3\cdot2\cdot1}=220[/tex]
A. The number of ways to choose 3 red balls from the 3 red balls is C(3, 3) = 1, so the probability is 1 / 220.
B) The number of ways to choose 3 green balls from the set of 5 green balls is [tex]C(5,3)=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{5\cdot 4}{2}=10[/tex] out of 220, so the probability is 10/220 = 1/22.
C) The number of ways to choose 1 red is C(3, 1) = 3. Choose 1 green in C(5, 1) = 5 ways. Choose 1 white in C(4, 1) = 4 ways.
The probability is [tex]\frac{3\cdot 5 \cdot 4}{220}=\frac{60}{220}=\frac{3}{11}[/tex]
Answer:
a) 1/220
b) 1/22
c) 3/11
Step-by-step explanation:
Check the attachment.
Martina's inground swimming pool is finally finished, and all that's left to do is fill it with water. Martina's family decides to fill their pool using their garden hose to save money, even though they know it will take a really long time. The swimming pool is 10 meters long and 5 meters wide, and Martina's family wants the water to be 2 meters deep. Water from the garden hose flows at a rate of 2,500 liters, or 2.5 cubic meters, per hour.
How long will it take to fill the pool?
Write your answer as a whole number or decimal. Do not round.
hours
Answer:
40 hoursStep-by-step explanation:
Find the required water volume using the volume of prism formula
V = lwhV = 10*5*2 = 100 m³Find the time required
100/2.5 = 40 hoursAnswer:
40 hours
Step-by-step explanation:
The swimming pool can be modeled as a rectangular prism.
Volume of a rectangular prism
[tex]V = lwh[/tex]
where:
l = lengthw = widthh = heightFirst, calculate the volume of water needed:
Given:
l = 10 mw = 5 mh = 2 mSubstitute the given values into the formula and solve for V:
[tex]\implies V=10 \cdot 5 \cdot 2=100\:\: \sf m^3[/tex]
If the water flows as a rate of 2.5 m³/h, divide the volume by the rate to calculate how long it will take to fill the pool:
[tex]\implies \sf Time=\dfrac{Volume}{rate}[/tex]
[tex]\implies \sf Time=\dfrac{100}{2.5}[/tex]
[tex]\implies \sf Time=40\:\:hours[/tex]
Solve the system of equations using elimination: 8x - 8y = 0 and
-5x - 7y= -12.
Answer:
My answers were (1,1) for both lmk if it works ;)
Step-by-step explanation:
HELP please this is due soon
Answer:
Step-by-step explanation:
Side Opposite to ∠x is called YZ
The side Opposite to ∠y is called XZ (that's the hypotenuse of the triangle)
Side Opposite to ∠Z is XY
Answer:
Side apposite to angle X is YZ
Side apposite to angle Y is XZ
Side apposite to angle Z is XY
Hope this helps you
have a great day
Which side is opposite angle C?
None
BC
AB
AC
Answer:
AB
Step-by-step explanation:
opposite is AB
PLEASE HELP
i have no clue what im doing wrong but i cannot find the answer
PLS HELPP WHAT IS THE ANSWER???
Answer:
-220
Step-by-step explanation:
Answer:
Let us start by plugging in x=2 into all variables x and y=1 into all y's
so: The result is -220
What is the area for 12ft and 8.5 for a parallelogram
Answer:
102 ft^2
Step-by-step explanation:
Im pretty sure area for a parallelogram is the same as a rectangle, so A = bh which would be 12 x 8.5
A composite figure is formed by combining a square and a triangle. Its total area is 49.5 ft. The area of the
triangle is 33.5 ft. What is the length of each side of the square? Complete the explanation.
The area of the square is
it?, so each side of the square is
ft.
Answer:
The length of each side of square is 5ft.
Step-by-step explanation:
A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.
The area of the triangle is 7.5ft squared.Area of combined figure - area of triangle = area of square.
32.5 ft squared - 7.5 ft squared = 25 ft squared.
So, area of square = 25 ft squared.
Now, by putting the formula for getting the length of each side:
Let the side = a.
Area of square = 25 ft squared
Area of square = a²
Using square root both sides we get:
So, the side = 5 ft.
Therefore, the length of each side of square is 5ft.
find the measure of the missing angle?
56+72+x =180 ( therefore sum of angle in a triangle)
128+x=180
x=180-128
x=52
Answer:
THE MISSING ANGLE = 52°
Step-by-step explanation:
Sum of all angles = 18°0
Let the missing angle be x°
56° + 72° + x° = 180°
x° = 180° - 72° - 56°
x° = 52°
!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
A right triangle has one side that is 6 inches
long, and a height of 12 inches. What is the
perimeter of the triangle?
Answer:
31.4 inches
Step-by-step explanation:
36+144 = 180
sqrt(180) = 13.41
6 + 12 + 13.4
Twenty-one less than a number is seven. What is the number? 3 14 28 147
Answer:
Option C, 28
Step-by-step explanation:
Step 1: Make an expression
Twenty-one less than a number is 7
[tex]x - 21 = 7[/tex]
Step 2: Solve the equation for x
[tex]x - 21 = 7[/tex]
[tex]x - 21 + 21 = 7 + 21[/tex]
[tex]x = 28[/tex]
Answer: Option C, 28
Answer:
28
Step-by-step explanation:
because twenty eight subtracted by twenty one equals seven
what is the solution for the equation -15=5(3y-10)-5y
Answer:
[tex]\Large\boxed{\sf{y=\dfrac{7}{2} }}[/tex]Step-by-step explanation:
Isolate the variable of y from one side of the equation.
-14=5(3y-10)-5y
First, switch sides.
[tex]\sf{5\left(3y-10\right)-5y=-15}[/tex]
Use the distributive property.
DISTRIBUTIVE PROPERTY:
A(B-C)=AB-AC
5(3y-10)
Multiply by expand.
5*3y=15y
5*10=50
15y-50-5y
15y-5=10y
= 10y-50
10y-50=-15
Add by 50 from both sides.
10y-50+50=-15+50
Solve.
10y=35
Then, you divide by 10 from both sides.
10y/10=35/10
Solve.
Divide the numbers from left to right.
35/10=7/2
y=7/2
Divide is another option.
7/2=3.5
[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}[/tex]
Therefore, the correct answer is y=7/2.I hope this helps. Let me know if you have any questions.
Find the least common denominator of 11/10 and 1/15
Answer: The least common denominator is 30.
Step-by-step explanation: Look at the image I have uploaded.
Good luck!
There are `11` dancers in a performance. Their ages (in years) are: `5. 5`, `6`, `6`, `6. 5`, `7`, `7. 5`, `8`, `8`, `8. 5`, `9`, `9` What is the median age of the dancers?
Answer:
7.5
Step-by-step explanation:
The median is the middle of a set of numbers. In this case, the median is 7.5.
what is area of the polygon
hii ,
area of polygon : 18
How do you solve this? In volume...
Tran has a credit card with a spending limit of $2000 and an apr (annual percentage rate) of 12%. during the first month, tran charged $450 and paid $150 of that in his billing cycle. which expression will find the amount of interest tran will be charged after the first month? (0.01) (300 dollars) (0.01) (450 dollars) (0.12) (300 dollars) (0.12) (450 dollars)
The expression that will find the amount of interest tran will be charged after the first month is: (0.01) (300 dollars).
ExpressionFirst step
Monthly interest rate = (Annual percentage rate ÷ Number of months in a year)
Monthly interest rate= 0.12 ÷ 12
Monthly interest rate= 0.01
Second step
Amount left = Amount charged - Amount paid
Amount left = $450 - $150
Amount left = $300
Third step
Amount of interest=Monthly rate ×Amount left
Amount of interest=(0.01) (300 dollars)
Amount of interest=$3
Therefore the expression that will find the amount of interest tran will be charged after the first month is: (0.01) (300 dollars).
Learn more about expression here:https://brainly.com/question/11277823
Kate packs snow into 5 identical jars. each jar represents a different depth of snow. kate then lets the snow in each jar completely melt. the table shows the height of the liquid in each jar as it relates to the original depth of snow in the jar. a 2-column table with 5 rows. the first column is labeled snow depth (inches), x with entries 2, 4, 6, 8, 10. the second column is labeled water depth (inches), f(x) with entries 0.4, 0.8, 1.2, 1.6, 2.0. which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? select two options. the points on a graph representing the relationship lie on a line. there is 0.4 inch of water to every 1 inch of snow. a line through the points will pass through (0, 0). the function relating snow depth to water depth is quadratic. the data can be represented by f(x) = 0.2x.
The true statements include the point on the graph represents the relationship lie on a line and a line through the points will pass through (0, 0).
How to illustrate the table?From the table, the water depth changes for about (0.8 - 0.4) = 0.4 inches. Here, the function is a linear model.
In this case, the the point on the graph represents the relationship lie on a line and a line through the points will pass through (0, 0).
Learn more about graphs on:
https://brainly.com/question/19040584
Answer:
A & C
Step-by-step explanation:
hope this helps
1 A triangle ABC ,AB = 7.8 cm,AC= 7 cm an
Isosceles Triangle
Scalene triangle
Equilateral triangle
Right angled Triangle
Answer:scalene
Step-by-step explanation:none of the sides are equal length
Which absolute value inequality is modeled by this graph?
A. y ≥ |x − 3|
B. y ≥ |x| − 3
C. y > |x + 3|
D. y > |x| + 3
Answer:
c
Step-by-step explanation:
sorry if it is wrong
hello what is 5x6 and what is 24 divide by 50
Answer:
5×6=30
24÷50=0.49....following long division method
what are the mean,median,mode, and range of the data set given the altitude of lakes in feet:-11,-28,-17,-25,-28,-39,-6,and -46? i dont know the answer
Answer:
Read explanation.
Step-by-step explanation:
The average is -22.2 (mean)
-46,-39,-28,-28,-25,-17,-11.-6 You cross out the lowest and highest until you reach the middle, which is -26.5(median)
The mode is -28 as it is the most repeated number
The range is 40 as when you subtract a negative it turns into the absolute value.
Dale wants to order business cards for his new job.
• Company A charges a flat fee of $0.15 per card.
• Company B charges $0.10 per card plus an additional $10.00 for delivery
Write an inequality for the amount of business cards, c, that Dale would need to buy for Company to be cheaper
Dale would need to buy more than 200 cards for Company B to be cheaper.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Company A charges a flat fee of $0.15 per card.
Company B charges $0.10 per card plus an additional $10.00 for delivery
Let x = number of cards
Company A charges = $0.15x
Company B charges = $10.00 + $0.10x
For company B to be the cheaper option ( B < A )
$10.00 + $0.10x < $0.15x
$10.00 < $0.05x
subtracting positive from both sides to retains the sense of the inequality and x is positive
200 < x
x > 200
So, Dale would need to buy more than 200 cards for Company B to be cheaper.
Learn more about inequality ;
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y = 6x - 3 non linear or linear
Answer:
Linear
Step-by-step explanation:
The equation is in the form y = mix + b, which means it is linear.
Multiplying by 1.19 is the same as increasing by
Please help, thank you!
Answer:
Vertical Asympote, but I might be wrong, haven't done this math in years