Answer:
x= 8 y= 1
Step-by-step explanation:
First, you identify your variables:
x= larger number
y= smaller number
Second, you find your equations:
x - y = 7
2x + 3y = 19
Third, (I used the substitution method) you make "y" by itself for the 1st equation.
y = x - 7
2x + 3y = 19
Then, you plug in the 1st equation for "y" in the 2nd equation
2x + 3(x - 7) = 19
Then, you distribute and simplify.
2x + 3x - 21 = 19
5x - 21 = 19
5x = 40
x = 8
Finally, you plug in the variable you found ( x ) into one of the equations and solve,
8 - y = 7
- y = -1
y = 1
What is the circumference of a circle having a radius of 56 mm
Answer:
The circumference is 351.68 millimeters or 352 millimeters.
Step-by-step explanation:
The formula to find the circumference of circle is 2 * pi * radius.
Applying Circumference Formula: 2 * 3.14 * 56 = 351.68 millimeters.
If you need to round to the nearest hundredth, the answer would be
352 millimeters.
I think this is correct, please don't hate me if I'm wrong. ;D
In the photo, are these 2 answers the same thing?
I need this assignment done will give brainliest and extra points.
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
Which of the following is a solution to the equation: y = 7x + -59? Choose all that apply.
Select all that apply:
O (8,-3)
O (9,8)
O (7,-3)
0 (10,5)
Answer:
[tex](a)\ (8,-3)[/tex]
Step-by-step explanation:
Given
[tex]y =7x +-59[/tex]
Required
Select all solutions
[tex](a)\ (8,-3)[/tex]
This implies that:
[tex]x = 8; y=-3[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]-3 =7 * 8 + -59[/tex]
[tex]-3 =7 * 8 -59[/tex]
[tex]-3 =56 -59[/tex]
[tex]-3 =-3[/tex]
The above is a solution:
[tex](b)\ (9,8)[/tex]
This implies that:
[tex]x=9\ y =8[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]8 =7 * 9 + -59[/tex]
[tex]8 =7 * 9 -59[/tex]
[tex]8 =63 -59[/tex]
[tex]8 =4[/tex]
The above is not a solution because [tex]8 \ne 4[/tex]
[tex](c)\ (7,-3)[/tex]
This implies that:
[tex]x=7;\ y=-3[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]-3 = 7 * 7 +-59[/tex]
[tex]-3 = 7 * 7 -59[/tex]
[tex]-3 = 49 -59[/tex]
[tex]-3 = -10[/tex]
The above is not a solution because [tex]-3\ne -10[/tex]
[tex](d)\ (10,5)[/tex]
This implies that:
[tex]x =10; y=5[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]5 = 7 * 10 + -59[/tex]
[tex]5 = 7 * 10 -59[/tex]
[tex]5 = 70 -59[/tex]
[tex]5 = 11[/tex]
The above is not a solution because [tex]5 \ne 11[/tex]
The volume of the prism is 8,412 cubic meters. what is the height in meters?
Answer:
the height is 20
At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph
Answer:
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.
This means that [tex]\mu = 97, \sigma = 11[/tex]
What proportion of the player's serves are expected to be between 119 mph and 130 mph?
This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 97}{11}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 119
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{119 - 97}{11}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
0.9987 - 0.9772 = 0.0215
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Answer:
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to
If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.
What is binomial distribution ?The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).
E(X) = np
Given that,
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.
If 10 donuts are sold.
Then the number of the sprinkles would be
The probability would be
p = 3/6
p = 0.5
n = 10
Now, the expected value of the number of the sprinkles will be
E(x) = 10 x 0.5
E(x) = 5
Hence, the number of sprinkles is 5
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Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –
ppppp)is dilated from the origin by scale factor r to the world
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
Asap
It is for past paper that is due in tomorrow 29th
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Writing Activity: Analysis.
Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas
Answer:
12345678910111213141516171819202122232425262728293031323334353637383940142434445446
Step-by-step explanation:
my name jeff
The length of a rectangle is 16 meters and the width is 3 meters. Find the area.
Answer:
16x3= 48 so the answer is 48m^2
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Assume that the information desk employee in Problem 1 earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day
Answer:
tsc = 8*1*10 = $80
twc = 8*20*0.0667*12 = $128.06
tc = 80 + 128.06 = $208.06
Step-by-step explanation:
To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).
Total service cost = (the number of channels)(cost per channel)
tsc = m*Cs
There is only 1 employee so the number of channels is 1.
The cost for this channel is $10 per hour, so 10 * 8 hours in the day.
Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)
twc = (number of arrivals)(average wait per arrival) Cw
The number arrivals is at the rate of 20 per hour.
The average wait per arrival was found as Wq previously.
Wq = 20/(30*(30-20)) = 0.0667 hours
The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.
Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.
Directions: Graph each function using a table of Graph each values, then identify its key characteristics.
1
4. y=(1/2)x
Growth / Decay
»-(
Domain:
Range:
j-intercept:
Asymptote:
Answer:
Step-by-step explanation:
Given function is,
[tex]y=(\frac{1}{2})^x[/tex]
In the given exponential function,
Base of the function = [tex]\frac{1}{2}[/tex]
By the property of an exponential function,
1). If the base is between 0 and 1, function will be a growth function.
2). If the base is greater than 1, function will be a decay function.
Therefore, given function is a decay function.
Input-output table,
x -2 -1 0 1 2
y [tex](\frac{1}{2})^{-2}=4[/tex] [tex](\frac{1}{2})^{-1}=2[/tex] [tex](\frac{1}{2})^{0}=1[/tex] [tex](\frac{1}{2})^1=\frac{1}{2}[/tex] [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]
By plotting these points we can get the graph of the function.
Domain: (-∞, ∞)
Range: (0, ∞)
y-intercept: 1
Asymptote: y = 0
A 6-foot ladder is placed against a wall with its base 2
feet from the wall. How high up the wall is the top of the
ladder? (HINT: Draw a diagram to help you visualize
the problem.)
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer:
the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"
Step-by-step explanation:
I got it right one edge
From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The table shows the set of measures, we need to determine which condition can make triangles.
Condition 1:
AB = 15 cm, BC = 20 cm, ∠B = 40°
By SAS criteria, this condition can form a triangle.
Condition 2:
AB = 20 cm, BC = 15 cm, ∠C = 40°
Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.
Condition 3:
BC = 10 cm, BC = 5 cm, ∠A = 20°
Here side length of BC alone is given. With one side and one angle, no triangle can be formed.
Condition 4:
AC = 5 cm, BC = 10 cm, AB = 14 cm
Here three sides are given, so we can form a triangle.
Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
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I’m a little confused.
Answer:
about 27 degrees
Step-by-step explanation:
all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27
New car is purchased for $20,700 dollars. The value of the car depreciate at 5% per year. To the nearest 10th of the year, how long will it be Until the value of the car is at $14,900 dollars ?
Answer:
6.4,,,,,,,,,,,,,,****
pls help!!
What is the equation of a line that is parallel to the line 4x + y = 8 and has a y-intercept of 12?
A. x + 3y = 2
B. 4x + y = 12
C. 12x + y = 8
D. x - 4y = -48
Answer:
B. 4x+y=12
Step-by-step explanation:
You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.
Please help very urgent
Answer:
it depends how many weeks look below
Step-by-step explanation:
1 week=$100.00
2 weeks=$115.00
3 weeks=$130.00
4 weeks=$145.00
and so on
pretty much every week you go up, she earns 15 bucks
hope this helps! have a good day :)
Anyone know how to answer this question
A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST
What value will make the equation true?
Answer:
-.6
Step-by-step explanation:
-2.1 - x = -1 1/2
Change the fraction to a decimal
-2.1 -x = - 1.5
Add 2.1 to each side
-2.1 -x+2.1 = -1.5 +2.1
-x = .6
Multiply each side by -1
x = -.6
What is the answer!! I need HELP!! ASAP apps be accurate of ur answer and look at the pic
Answer:
105, I think if not please tell me it isn't!
When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the total amount in the account after 18 years. *
Answer:
$20,960
Step-by-step explanation:
Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars
This is the same as the one above me but in simpler terms
Step-by-step explanation:
I =8000 x 9 x 18 =12,960
Total amount = 12960 +8000= $20,960
Answer:
$12960
Step-by-step explanation:
A=P(1+rt)
8000(1 + (0.09 × 18)) = 20960
A = $20,960.
I = A - P
I=20960-8000
ANS=$12960
15 points
Triangle ABC has side lengths of 19 in, 12 in, and 25 in. Match each side
with its correct length. *
I will give brainliest ]. 28 POINTS !
Answer:aa
Q
Q
A
W
W
Q
Q
S
S
W
Q
W
W
W
W
Step-by-step explanation:
A
Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb
Michelle opened an
interest-bearing savings
account. She deposited $8,750
into the account. If the account
earns 1.3% interest, what will
be Michelle's balance after two
years?
PLEASE HELP
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 18.
Answer:
the probablity of rolling a number greater than 18 is 0
Step-by-step explanation:
mark me as brainliest
Answer:
The probability is 0 since there is no outcome that gives him a role greater than 18
Please mark as braniest if this is what you are looking for
If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
Answer:
2 teams
Step-by-step explanation:
13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.
There are 1287 different teams of 5 students can be formed for competitions.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
The Math Olympiad Club consists of 13 students.
And, To form different teams of 5 students can be formed for competition.
Hence, We get;
Number of different teams of 5 students can be formed for competitions is,
⇒ ¹³ C ₅
⇒ 13! / 5! 8!
⇒ 1287
Thus, There are 1287 different teams of 5 students can be formed for competitions.
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need help guys givin brainliest
Answer:
4
Step-by-step explanation:
The scale factor from 3m to 9m is ×3
So do 12 / 3 = 4