Answer:
One solution: x = 0
Step-by-step explanation:
Starting with 3x+10=2x+10,
subtract 2x from both sides. We get x + 10 = 10, or x = 0. This equation has ONE solution, x = 0.
A box contains 10 tags, numbered 1 through 10, with different numbers on each tag. A second box contains 8 tags, numbered 20 through 27 with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?
Answer:
29
Step-by-step explanation:
Given that:
Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each
Bag 2: Another bag with 8 tags numbered from 20 - 27
Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :
Expected value = mean of numbers in bag 1 + mean if numbers in bag 2
E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2
E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]
E(x) = (11/ 2) + (47/2)
E(x) = 5.5 + 23.5
E(x) = 29
Hence, expected value of sum if numbers from each draw = 29
PLEASE HELP ANYONE:))
Answer:
3 million dollars
Step-by-step explanation:
i just did this and got it right
I start at 5,6 and move 4 units down what will i end up with
Answer:
5,2
Step-by-step explanation:
since you're moving down the y-axis you will subtract 4 from 6 because 6 is on the y-axis
5 stays the same since you're not moving on the x-axis
(5,2)
Nedd help for this one
Answer:
20, -7, -14, 10, -5, 8
20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)
38 + (-26) - add like terms
12
12/6 -divide sum by number of values
2 - answer
hopes this helps
Step-by-step explanation:
the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?
Answer:
what is the equation?
Step-by-step explanation:
anya bought 1.3 pounds of apples. She used 0.28 pound in a pie. How much is left? Use the bar diagram to help you
Answer:
1.02 pounds left
Step-by-step explanation:
Skip the bar graph, just subtract .28 from .30 and voila!
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
PLEASE HELP ME OUT IF YOU CAN
Answer:
D
Step-by-step explanation:
Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)
Answer:
y = -⁸/₉(x + 1)² +5Step-by-step explanation:
y = a(x - h)² + k - vertex form of quadratic function with vertex (h, k)
y = a(x - (-1))² + 5 - vertex form of quadratic function with vertex (-1, 5)
y = a(x +1)² + 5
graph goes through (2, -3) so if x=2 then y =-3
-3 = a(2+1)² + 5
-3 -5 = a×3² + 5 - 5
-8 = 9a
a = -⁸/₉
So the equation of the function:
y = -⁸/₉(x + 1)² + 5
WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?
Answer:
I think around 17 min...
Step-by-step explanation:
there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....
60/8= 7.5 and 60/ 6=10
so 7.5+10 = 17.5
somewhere around there
Combine like terms
9w-w =
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for x
Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 2812 5/8 in decimal form
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour.
Choose a function to represent this scenario
Answer:
12.625
Step-by-step explanation:
12 is a whole so it would go before the decimal point.
5/8 or 5 divided by 8 is equal to 0.625.
12 + 0.625 = 12.625
I need help pls , Solve: 5a + 4 = 19
5a+4=19 this is the equation to solve for a 5a=19-4
5a=15
a=15÷3
a=3
Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?
Answer:
Neptune is 80 times farther from the Sun than Mercury.
It takes 4 hours to reach the light from the Sun to Neptune.
Step-by-step explanation:
Given that the average distance between the Sun and Mercury,
[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.
The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes
Let v m/s be the speed of light.
So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex] [as speed = distance/time]
Now, the average distance between the Sun and Neptune,
[tex]d_2=2.8\times 10^9[/tex] miles.
The ration of the average distance of Neptune and Mercury from Sun,
[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]
[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]
So, Neptune is 80 times farther from the Sun than Mercury.
The time to reach the light from the sun to Neptune,
[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]
[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]
[tex]=\frac {d_2}{d_1}\times t_1[/tex]
[tex]=80\times 3[/tex] [using equation(ii)]
=240 minutes
=4 hours [as 1 hour =60 minutes]
Hence, it takes 4 hours to reach the light from the Sun to Neptune.
Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.
Given the Parameters :
Mercury's average distance from sun = 35000000 miles Time taken for light to travel to mercury = 3 minutes Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]Number of times Neptune is father from the sun than Mercury :
(Neptune's distance) ÷ Mercury's distance [tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]Hence, Neptune is 80 times farther from the sun than Mercury.
Time taken for light to reach Neptune :
Time taken to each mercury × 803 minutes × 80 = 240 Minutes
60 minutes = 1 hour
240 minutes = (240 ÷ 60) = 4 hours
Therefore, it would take 4 hours for light to reach Neptune.
Learn more : https://brainly.com/question/18405415
Read the power and then check all that apply. 34 = 3 × 3 × 3 × 3 A power is a shorter way to write repeated multiplication. The base is 3. The base is 4. The exponent is 3. The exponent is 4. The exponent tells you to multiply the 3 together 4 times. The exponent tells you to multiply the 4 together 3 times.
Answer:
the right one's are
1,2,5,6
Step-by-step explanation : I hope this helps everyone
Answer:
The Answers our:
Step-by-step explanation:
A: A power is a shorter way to write repeated multiplication.
B: The base is 3
E: The Exponent is 4
F: The exponent tells you to multiply the 3 together 4 times.
Find the sum of 3 - a - 5a2
*PLEASE HELP ANSWER*
* I WILL GIVE BRAINLIEST *
Answer:
Union
Step-by-step explanation:
None of the terms in each inequality intersect.
so its not intersection
Its two inequalities put together so its union
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916
Answer: 30 small bags
Step-by-step explanation:
From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.
When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:
= 6514/214
= 30.43
= 30 small bags
6 lbs of potatoes cost $72. How many
lbs of potatoes can you get with $516?
Answer:
42
Step-by-step explanation:
516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes
Help me with this question plz!!!
2x - 4=x+6
Answer:
x = 10Step-by-step explanation:
2x - 4 = x + 6 add 4 to both sides
2x - 4 + 4 = x + 6 + 4
2x = x + 10 subtract x from both sides
2x - x = x - x + 10
x = 10
Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.
Answer:
Put 6 yellow unit tiles on the right side of the equal sign.Step-by-step explanation:
Given the equation that Juanita wants to model expressed by the equation
3 x + 2 = -x + 6
If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6
We can as well calculate the value of x from the expression as shown;
3 x + 2 = -x + 6
collect like terms
3x+x = 6-2
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Answer:
the answer is D put 6 yellow unit tiles
Step-by-step explanation:
i took the test review and test
ASAP ASAP ASAP
HELP ME PLEASE
Answer:
D i'm pretty sure
Step-by-step explanation:
Answer: $2.19
Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.
Solve for x and y in the diagram below
Answer:
x= 39
y= 123
Step-by-step explanation:
Please see the attached picture for the full solution.
Based on the lesson identify the first operation needed to solve the following equation 2x + 3 = 11
Answer: Subtract 3 from both sides of the equation
simplify
divide both sides on the equation by the same term
simplify
your answer should be 4
Step-by-step explanation:
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
Answer:
Step-by-step explanation:
gud question
Help pleaseeeee it’s on algebraic proofs
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
A.
B.
C.
177.5
D.
355
answer is c because if it's not a and b then the only answers will be c and d and d is the same as the number so it's c
The length of a iPhone is 15 cm and the width of the iPhone is 7.4 cm. What is the maximum area?
Answer:
111 cm squared
Step-by-step explanation:
15x 7.4
77 is left over when a number x is decreased by 109.
Find x
What is happening here?
What is the opposite operation?
Check by substituting
Answer:
186
Step-by-step explanation:
77+109=186
186-109=77
x=186
Hope this helps!