x + y = 7
5x - 2y = -7
Answers
Answer:
x=1 y=6
Step-by-step explanation:
make equation 3 from equation 1
substitute equation 3 from 2
find x or y from equation 3
Related Questions
When Mr. Morgan preheated his oven, the oven's temperature rose 3 degrees in of a
minute. At that rate, how much will the oven heat up in 1 minute?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
degrees
Answers
Answer:
it would be 18 in 1 minute
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
2. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
Thank you.
Answers
Answer:
1. 0.0469 (4.d.p)
2. 0.05
Step-by-step explanation:
1. First we'll find the probability of drawing a blue marble.
P = (No. favourable events)/(Total events)
In this case it's:
P = (No. blue marbles)/(Total Marbles)
Therefore P(Blue) = 4/16 = 0.25
Now we find the probability of drawing a yellow marble:
The total number will be the same because the blue marble will have been put back.
P(Yellow) = 3/16 = 0.1875
Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:
0.25 x 0.1875 = 0.0469 (4.d.p)
2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25
But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:
P(Yellow) = 3/15 = 0.2
Now we multiply them together again to find the combined probability of both happening:
0.25 x 0.2 = 0.05
Hope this helped!
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25
4x + 3y = 7.25
3x - 4y = 7.25
(3 + 4)x = 7.25
Answers
Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
pls mark me brainless
Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free
Answers
Answer:
2500 ( nearest hundred)
Step-by-step explanation:
Given that :
Number of stickers collected per week = 89
Number of weeks for which stickers were being collected = 28
To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week
The number of stickers collected :
89 * 28 = 2492
2492 = 2500 ( nearest hundred)
Question 14 of 15
Evaluate (3/4)x^0
Answers
Answer:
I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!
Step-by-step explanation:
Decimal form: 0.74
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answers
Answer:
f(3)= 33
Step-by-step explanation:
hello :
f(x) =8x+9
put x = 3 you have : f(3) =8(3)+9 = 24 + 9 =33
Helpppppp againnn plzzz
Answers
Answer:
x=8.17
Step-by-step explanation:
uztstskycuvkhifig
Answer:
x = 8.17
Step-by-step explanation:
We will be using pythagoras theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]
=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616
=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)
Please help!!
Find the radius
Answers
Answer:
The radius is 20 units.
Step-by-step explanation:
(r)^2 + 21^2 = (r+9)^2
r^2 + 441 = r^2 + 18r + 81
360 - 18r = 0
360 = 18r
20 = r
What is the area of the trapezoid?
Answers
Answer:
area = 432 ft²
Step-by-step explanation:
area = 1/2(B1 + B2)(H)
area = 1/2(20 + 16)(24) = 432 ft²
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
Answers
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
What is the mean of the following data set: 100, 121, 105, 113, 108
Answers
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
The sum of twice a number, n, and 14 is 30. Write an equation that models this
statement. Then explain how you might use reasoning to find the value of n.
Answers
Answer:
2n +14 = 30 I can use inverse operations and solve for n.
Step-by-step explanation:
twice means 2 so twice a number,n, means 2 times n thus 2n.
sum means add so, 2n + 14
is means equal so 2n + 14 = 30
If you solve it you will find n = 8
A garage door code has 5 digits. If no digit is repeated, how many codes are possible?
Hint: the possible digits are 0-9
Answers
Answer:
There are 30240 possible codes.
Step-by-step explanation:
For the first digit, there are 10 number choices possible:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
For the second digit, 9 number choices, because one of the digits cannot be repeated.
For the third, 8 number choices, because two of the digits cannot be repeated.
For the fourth, 7 number choices, because three of the digits cannot be repeated.
For the fifth, 6 number choices because four of the digits cannot be repeated.
Now multiply all the numbers, and you can see that there are 10*9*8*7*6, or 30240 codes possible.
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
Answers
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
Answers
No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant
Answers
Answer:
1) The function is decreasing exponentially at a rate of 15% every decade.
2) The function is increasing exponentially at a rate of 20% every year.
Step-by-step explanation:
1) 1–0.85 = 0.15
0.15 x 100 = 15%
2) 1.2–1 = 0.2
0.2 x 100 = 20%
A bag has 6 red rocks, 1 orange rock, 4 blue rocks, 1 white rock, and 7 yellow rocks. You randomly pull a rock from the bag, keep it out and then pull out another one. What is the probability of not getting a orange and then not getting a orange?
Answers
Answer: 17/19
Step-by-step explanation:
Number of red rocks = 6
Number of orange rock = 1
Number of blue rocks = 4
Number of white rock = 1
Number of yellow rocks = 7
Total number of rocks = 19
Probability of not getting a orange the first time will be (1 - 1/19) = 18/19.
Probability of not getting an orange the second time will be: (1 - 1/18) = 17/18
Probability of not getting an orange on both occasion will be:
= 18/19 × 17/18
= 17/19
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answers
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y
Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 12 women was also 35 minutes, but the standard deviation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women
Answers
Answer:
No ;
Step-by-step explanation:
Given ;
s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12
Hypothesis :
H0 : σ1² = σ2²
H1 : σ1² ≠ σ2²
The test statistic :
Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44
The Pvalue using the Pvalue from Ftest calculator :
Numerator df = 12 - 1 = 11
Denominator df = 10 - 1 = 9
Pvalue = 0.2969
At α = 0.1
If Pvalue > α ; Fail to reject H0
0.2969 > 0.1 ; Hence, we fail to reject the Null
Hence, we cannot conclude that variation exists
what is the volume of a cylinder with a length of 6 inches and a width of 5 inches?
Answers
3.14 x 25h = 78.5h (h will stay since the height is not given)
Dillon deposited 3/4 of his paycheck
into the bank. The deposit slip shows how much he deposited.($46.50)
Write and solve an equation to find the amount of his
paycheck.
Equation:
Solution:
Answers
Answer:
His paycheck was $62.
Step-by-step explanation:
3/4 x = 46.5
x = 46.5 * 4/3
x = 62
Equation: 3/4 x = 46.5
Solution: x = 62
HELPPP W TRIANGLE ABC graph!!??
Answers
-3,4. i adding this cause this answer needs atleast 20 characters
pls help thank you so much !!
Answers
Answer:
a) (0,5)
Step-by-step explanation:
Line n intersects lines 1 and m, forming the angles
shown in the diagram below.
(6x + 42)
18x - 12)
Which value of x would prove ! || m?
1) 2.5
2) 4.5
3) 6.25
4) 8.75
Answers
The sum of Derek and Quency's ages is 19 years. If the difference
of their ages is 5 years what are their ages?
Answers
hope this helped
Solve for n: 5n - 7= -52 A. - 5 B. -9 c. - 5/45 D. 9 E. 26
Answers
Answer: n= -9
Step-by-step explanation:
5n-7=-52
5n = -52+7
5n=-45 (divide both sides)
n= -9
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answers
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
3(x−6)=−12 what is the answer pls
Answers
Answer:
[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer:
x = 2
3 (x-6) = -12
3x - 18 = -12
3x - 18 + 18 = -12 + 18
3x = 6
3x/3 = 6/3
Hence, x= 2
Step-by-step explanation:
pls mark as brainliest
hope it helps u
María Rodriquez Single-payment loan of $1,000 Interest rate of 7% Ordinary interest for 108 days What is the interest owed? What is the maturity value?
Answers
Answer:
$1,020.71
Step-by-step explanation:
Solving the equation:
A = 1000(1 + (0.07 × 0.29589)) = 1020.7123
A = $1,020.71
The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building
Answers
Answer:
1114 ft
Step-by-step explanation:
tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)
