Answer: x=-3, y=2
Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2
Answer:
(-3,2)
Step-by-step explanation:
You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing
Simultaneous is easier so lets get started.
1st equation : [tex]-2x+y=8[/tex]
2nd equation: [tex]-3x-y=7[/tex]
We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.
Like, take the 1st equation
[tex]-2x+y=8\\y=8+2x[/tex]
the equation is arranged in a different manner but its the same thing.
This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation
[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]
we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.
[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]
The solution set of our system of linear equations is
(-3,2)
Which pair of lines are perpendicular
Answer:
D
Step-by-step explanation:
Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
Answer: Actual area of wall = 50 sq. inches
Step-by-step explanation:
Given: Scale : 1 cm : 2.5 inches
A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
So, Actual length = 2 x 2.5 inches = 5 inches
Actual width = 4 x 2.5 inches = 10 inches
Actual area = Actual length x Actual width
= 5 x 10 = 50 sq. inches
Hence, Actual area of wall = 50 sq. inches
If 2KL=KL+MN, then KL=MN
Choose the definition, theorem, or postulate that justifies the statement.
A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality
Answer:
a. subtraction property of equality
Step-by-step explanation:
4. In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day? I
Answer:
this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.
Step-by-step explanation:
X=adults
Y=children
I only know to make these two equations from experience doing these types of questions.
X+Y=800
7X +5Y=4600
there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract the 2nd from that whole equation.
7(X +Y=800)
7X +7Y = 5600
-(7X +5Y =4600)
0X +2Y = 1000
Y = 500 ( 500 children went to the movies )
by inspection you can probably see that 300 adults had to go too
500 kids
300 parents
also that's 4600 dollars to let those people in
7(300) + 5(500) = 4600
2100 + 2500 = 4600
Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. NEED THIS ANSWER NOWWWWWWWW
Answer:
Step-by-step explanation:
Let Lucas final grade be x
All Lucas grade will be 75, 78, 82, and 84 and x.
Average score = 95
Since we are not told what to look for, we can find the Lucas final grade.
Using the formula for calculating mean (average)
Mean = Sum of the score/total test taken
95 = 75+78+82+84+x/5
95 = 319+x/5
Cross multiply
95×5 = 319+x
475 = 319+x
x = 475-319
x = 156
Lucas final grade is 156
One sixth of Lucas final grade = 1/6 × 156 = 26
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __
Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Step-by-step explanation:
Given: Humans shed about 3million particles of skin every 5 hours.
Since, 1 million = 1,000,000
Then 3 million = 3 x 1 million
[tex]= 3 \times1,000,000[/tex]
[tex]= 3,000,000[/tex]
[tex]=3\times10^6[/tex]
On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6
So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Answer:
6
Step-by-step explanation:
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
ExplainHow to find the product 3/8 x 7/9
Answer:
7/8
Step-by-step explanation:
well first when you put them together like 3/8 and 7/9 you have to simplfy first. You have to cross simplify 3 and 3. Since they are the saem both turn into one. Now you mulitpy. 7 times 1 is 7 and 8 times one is 8. 7/8
Answer:
[tex]\frac{7}{24}[/tex]
Step-by-step explanation:
To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result. In our example, Prime number [tex]2^3=8[/tex]
[tex]\frac{3*7}{2^3*3^2}[/tex]
We need to perform a multiplication. The following rule is applied:
[tex]\frac{A}{B}*\frac{C}{D}=\frac{AC}{BD}[/tex]
In our example, the factors in the new numerator are 3,7
The factors in the new denominator are [tex]2^3, 3^2[/tex]
Round 7.3065 to 2 decimal places
Answer:
im pretty sure its 7.31
3 consecutive even integers that add up to 36
Answer:
10, 12, 14
Step-by-step explanation:
Answer:
10,12 and 14
Step-by-step explanation:
Hope that helps <3
What is the 6th term of the geometric progression
12.6.3, ... ?
Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
1/2a + 1/3a =5 please help :)
Answer:
a=6
Step-by-step explanation:
1/2a+1/3a=5
5/6a=5
a=6
hope this helps
brainliest?
Answer:
a=6
Step-by-step explanation:
1/2a + 1/3a =5
Multiply each side by 6 to clear the fractions
6(1/2a + 1/3a) =5*6
3a +2a = 30
Combine like terms
5a = 30
Divide by 5
5a/5 = 30/5
a = 6
Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes
Answer:
Each pair is $17.31 average
Step-by-step explanation:
All you do is divide $69.25 by 4
Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer
Step-by-step explanation:
Help me solve this problem please
Answer:
6
Step-by-step explanation:
2(6) - 3(6) + 20 + 5(6) - 40 = 4 CORRECT
2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG
2(16) - 3(16) + 20 + 5(16) - 40 = 44 WRONG
2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG
(5x10₃) x (9x10₇)
answered in standard form
Answer:
5x9x10^10
Step-by-step explanation:
your question is incomplete
1) If the mean is 15.5 and the standard deviation is 2.5, Label b, c, d, e, and f
Answer:
I accidentally clicked I can’t click out
Step-by-step explanation:
Sorry
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
PLEASE HELP MEE ASAP!
Answer:
Step-by-step explanation:
1/6
Calculate the median of the following set of numbers.
19, 22, 75, 37, 37, 27, 32, 15, 10
Answer:
37
Step-by-step explanation:
10,15,19,22,27,32,37,37,75
Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour
Answer:
30 pages per hour
Step-by-step explanation:
Leo can read 10 pages in 20 minutes.
60 minutes in a hour
20 x 3 = 60
10 x 3 = 30
1)which set of points is a function?
2)which order pears cause this relations not to be a function. why?
Answer:
First Question is B
Second Question is C
Step-by-step explanation:
You can’t have the same x values going to different y values
help me out bro
7 (x-3)+3 (4-x)= -8
Answer:
x = 1/4
Step-by-step explanation:
remove the parenthesis
collec like terms
caculate
move constant to the right
calculate
divide both sides
Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry
Answer:
21:12
Step-by-step explanation:
Answer:
7:4
Step-by-step explanation:
because u simplify 21:12 and u would get 7:4
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Answer:
∠H = 122°
Step-by-step explanation:
This is a 5-sided polygon. That means the sum of all the angles must equal 540°.
∠H + 107° + 97° + 130° + 84° = 540°
∠H = 540° - (107° + 97° + 130° + 84°)
∠H = 540° - 418°
∠H = 122°
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
How many terms are there in the following expression: 3a+3ab+7b-4d?
Answer:
3
Step-by-step explanation:
no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who
Answer:
There are 4 terms.
Step-by-step explanation:
3a
3ab
7b
4d
Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ
Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?
Answer:
9 command Cards
Step-by-step explanation:
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS
This is ezz homework pay attention in class
I think this is correct