Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
Required
Get matching coefficient for elimination
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
[tex]2 * (2x + 5y = 12)[/tex]
[tex]4x + 10y = 24[/tex]
So, the system becomes:
[tex]4x + 3y = 8[/tex]
[tex]4x + 10y = 24[/tex]
Now, x can be eliminated
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.) 8
Answer: 5/36
Step-by-step explanation:
Please help now ASAP!!!!
Answer:
Step-by-step explanation:
I don't think u can tell from that because u need the length of each movie
Calculate the SQRT485 Express answer to nearest hundredth.
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Answer: 22.02
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Help please!!!When the clock struck midnight, Cinderella ran 3 miles back to her house from the ball. How many yards did she run?
Answer:
she ran 5,280 yards
Step-by-step explanation:
Answer:
5280
Step-by-step explanation:
Well, there are 1760 yards in a mile, aka 5280 feet. (5280ft/3=1760yds). 1760x3=5280. I hope this was an okay explanation, this is my first day on Brainly with an account, hehe.
1. Dicey Odds [2 Points]You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling anodd number is23and the probability of rolling an even number is13, though the probabilityrolling of each odd number is the same, and the probability of rolling each even number isthe same. What is the probability of:a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.b) the sum of both dice adding up to 4.
Answer:
a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
Step-by-step explanation:
Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is [tex]\frac{2}{3}[/tex] and the probability of rolling an even number is [tex]\frac{1}{3}[/tex] , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.
To find - What is the probability of:
a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.
b) the sum of both dice adding up to 4.
Proof -
The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }
Now,
Given that , Dice 1 is fair
⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]
Also, Given Dice 2 is unfair
⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]
P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]
Now,
a)
P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)
= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]
= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] = [tex]\frac{2}{9}[ \frac{3}{6}]\\[/tex] = [tex]\frac{1}{9}[/tex]
⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]
b)
P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)
= [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] ×[tex]\frac{2}{9}[/tex] = [tex]\frac{5}{54}[/tex]
⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]
Find AB If AC = 12 and BC = 35
Answer:
37
Step-by-step explanation:
a² =b²+ç²a²=12²+35²a=√1369a=37I WILL GIVE BRAINIEST AND 100 POINTS TO WHOEVER ANSWERS THIS ASAP
Find the value of x in the triangle.
the answer to your question is 104 degrees.
what number is 30% greater than 20?
Answer:
26 is 30% greater than 20!hope this helped have a good day/night
4 divided 1/5 hep me plz
Answer:
4/1/5=20 because when you divide by a fraction u keep change the divison into multiplaicton and flip the 1/5 to 5/1 so 4x5
Step-by-step explanation:
2) Dividing polynomial by using long division,
(x ^2+ 4x - 15) \(x-3)
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
Step-by-step explanation:
B.28.1
Answer:
It's BBBBBBBBBBBBBBBBB
Krysta opened a bank account. She received 8% interest every year she has money in the account.
A. Write two expressions to represent this situation after one year. Let mrepresent the amount of money she puts in the account.
Expression #1: Expression #2:
Explain how these two expressions are equivalent
How much money will she have in her account after one year if she originally put $50 in the account?
Answer:.
Step-by-step explanation:
Here's link to the answer:
tinyurl.com/wpazsebu
7. A garden contains 284 flowers, each of which is either red or yellow. There
are 5 beds of yellow flowers and 4 beds of red flowers. There are 40 yellow
flowers in each yellow flower bed. If r represents the number of red flowers in
each red flower bed, what equation could you use to represent the number of
red and yellow flowers?
Answer:
284=5(40)+4r
Step-by-step explanation:
Broccoli cost 1.50 at a store. How much does 32 ounces of broccoli cost?
Answer:
48.00
Step-by-step explanation:
Answer:
48.0 hope it helps you out
I need serious help with this equation.
Answer:
First, it’s already telling you that you need to find d, which is the opposite of degree 59. This means you have to do the exact thing for degree 37. Since it’s already telling you to use sine, you need to look at the opposite side of 37 which is 98.4.
So ? is 98.4
Now, you need to find sin 59 / d.
First, plug in sin 98.4 sin (37) in your calculator (make sure it’s in degree setting)
The result is 59.2.
Now, 59.2 = sin 59 / d.
Switch sides like this: d = 59.2 sin (37)
And the answer is approximatley d = 35.6
? = 98.4
d = 35.6
1. (18 points)You are stationed at a port on the ocean. A cruise liner is sailing past your port. When it
goes past you, it is traveling at a speed of 30. and is 2,000 ft from the shore.
Answer:
1400 ft.
Step-by-step explanation:
It is a simple problem you just need to take the rate (30 ft. per second) and multiply it times the number of seconds it traveled (20) so you're equation would be 20x30 which results in 600. This means the ship has traveled 600 ft. in 20 seconds meaning it is 600 ft. close to you. To get the final answer 1400 you take it's original distance (2000) and subtract how far it has traveled since then (600) so you would get 2000-600=1400 ft. away
the sum of the first n terms of a sequence is given by Sn=3^m^+^1-6 Determine the sum of the first 12 terms
11. Find the area of shaded part.
19 yd -
5 yd
16 yd
Answer:
73.46 yds ^2
Step-by-step explanation:
triangle = 1/2bh = 1/2(19)(16) = 152
circle= πr^2
π(5)^2 = 25π = 78.54
152 -78.54= 73.46
Find the area of the polygon.
16 ft
14 ft
2 ft
2 ft
Answer:
448ft
Step-by-step explanation:
16 x 14 x 2 x 2
\ / \ /
224 x 4
\ /
448
Photography. In exercises 18 and 19, use the following information. Developing times of photographic prints are normally distributed with a mean of 15.4 seconds and a standard deviation of 0.48 seconds.
Answer:
18.The answer is 47 . 5 %
19.The answer is 83 . 85 %
Step-by-step explanation:
18 . This is a good example of normal Distribution
Z = ( Given score - Mean ) / Standard deviation
Z = (16. 36 - 15 .4 ) / 0.48
Z= 0. 96 / 0.48
Z = 2
From the table, the value of z on the right side of the normal curve
= 0.34 + 0 . 135 = 0.475
The percentage is 0. 475 x 100 = 47 . 5 %
19. We are asked to get the percentage between 13. 96 and 15. 88
Z 1 = ( 13 .96 - 15. 4 ) / 0.48
Z 1 = - 1. 44 / 0.48
Z 1 = -3
Z 2 = ( 15 . 88 - 15 . 4 ) / 0. 48
= 0. 48 / 0.48
Z 2 = 1
From the table , the value of z from - 3 to 1 is 0. 34 + 0. 135 + 0. 0235 + 0.34
= 0 .8385
The percentage is 0 . 8385 x 100 = 83 . 85 %
there are 16 sixth graders, 11 seventh graders, and 9 eighth graders in a gym class. the gym teacher randomly selects one student to collect balls how many ways can choosing not a seventh grader occur
Answer:
34 total students.
25 are not 7th graders
27/35
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
Which of the following is the equation of the line that passes through the point (-6, 1) and has
1
a slope of -
2
A
y =
1
- x +4
2
0
B
1
y = -x + 7
2
o
1
y = -x-2
2
D
11
1
y = -
2
2
Save and
Answer:
The answer should be C....
Find the linear equation that is the straight line through (1, 2) and (8, 30).
Answer:
y = 4x - 2
Step-by-step explanation:
→ First find the gradient
[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]
→ Put into y = mx + c format
y = 4x + c
→ Substitute ( 1 , 2 ) into y = 4x + c
2 = 4 + c so c = -2
→ Rewrite into equation format
y = 4x - 2
Solve.
a - 6 > 1
I need help quick!
Answer: 8
Step-by-step explanation:
8-6 = 2 which is greater
anything above 7 is correct
Answer:
a>7
Step-by-step explanation:
a-6>1
a>1 +6
a>7
thank u i hope it helps
Function 1 is defined by y =-7/3x-1
Answer:
Y-Intercept
Step-by-step explanation:
Your question is not that clear to answer. If you are asking what number -1 called its y-intercept
HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
:P
Please help I need P factored completely
P(x)=x^4+50x^2+625
Answer: here u go and can u give me brainliest
Step-by-step explanation:
a cuanto le tienes que sumar a 67222 para que llegue a 72622?
le tienes que sumar 5,400 para que te de el resultado
Answer:
Le tienes que añadir 5400
Step-by-step explanation:
ons: Practice
Question 2 of 5
The expression below represents the amount owed on a loan over t years.
1,550(1.042)
Interpret the meaning of the expression.
O The initial loan amount is $1,550, and the interest growth rate is 1.042% per year.
The initial loan amount is $1,042, and the interest growth rate is 55% per year.
The initial loan amount is $1,042, and the interest growth rate is 1.55% per year.
The initial loan amount is $1,550, and the interest growth rate is 4.2% per year.
Answer:
the initial loan amount is $1,550, and the interest growth rate is 4.2% per year.
Step-by-step explanation: I just answered it.
Answer:
the answer is c
Step-by-step explanation:
for plato