Answer:
Not a solution.
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
[tex]\left \{ {{2x+5y=8} \atop {3x-2y=5}} \right.[/tex]
(-1, 2)
Step 2: Substitute and Check
Substitute: [tex]\left \{ {{2(-1)+5(2)=8} \atop {3(-1)-2(2)=5}} \right.[/tex]Multiply: [tex]\left \{ {{-2+10=8} \atop {-3-4=5}} \right.[/tex]Combine: [tex]\left \{ {{8=8} \atop {-7=5}} \right.[/tex]We see here that -7 ≠ 5. Therefore, (-1, 2) is not a solution of the systems of equations.
PROBLEM 1
Peter has many socks, all the same except that they are in three different colours. He is leaving to catch an early train to go on a business trip, and he does not want to wake his wife, so he packs in the
dark. He needs eleven pairs of socks, each sock in each pair the same colour. How many socks must he take from his drawer to be sure of achieving this?
Answer:
24 socks
Step-by-step explanation:
The given parameters are;
The number of different colors of socks = 3
Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario
After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table
Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11
Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.
can someone find the x for -3x + 1 = 169
Answer:
x = -56
Step-by-step explanation:
-3x + 1 = 169
-1 -1
----------------------
-3x = 168
Divide both sides by -3. 168/-3 = -56
x = -56
Answer:
Your answer is: x = -56
Step-by-step explanation:
Hope this helped : )
What equation is graphed in this figure?
y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)
Answer:
y - 5 = 3(x - 1)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 2) and (1, 5) is,
m = [tex]\frac{5-2}{1-0}[/tex] = 3
Now equation of the line passing through a point (1, 5) and slope = 3 will be,
y - 5 = 3(x - 1)
Option (4) is the answer.
Answer:
y−5=3(x−1)
Step-by-step explanation:
We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.
Step-by-step explanation:
Let the amount of apples bought be x
Amount of strawberries bought be y and;
amount of oranges bought be z
If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;
2x+3y+4z = 15.30 ........... 1
If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:
4x+y+2z = 10.90 ......... 2
If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:
5x+2y+x = 13.70 .......... 3
Solving the three equations simultaneously:
2x+3y+4z = 15.30 ........... 1
4x+y+2z = 10.90 ......... 2
5x+2y+z = 13.70 .......... 3
Reduce the number of equations
multiply equation 1 by 2 and subtract from equation 2
equation 1 * 2 will give:
4x+6y+8z = 30.6 ........... 4
eqn (4)-eqn(2)
6y-y + 8z-2z = 30.6-10.90
5y+6z = 19.7 ......... 5
Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.
eqn(2)* 5 will give:
20x+5y+10z = 54.5 .......... *
eqn(3) * 4 will give
20x+8y+4z = 54.8.......**
Subtsrct ** from *
8y-3y+(4z-10z)= 54.8-54.5
5y-6z = 0.3 .................. 6
Equate 5 and 6 and solve:
5y+6z = 19.7 ......... 5
5y-6z = 0.3 .................. 6
subtract:
6z+6z = 19.7+0.3
12z = 20
z = 20/12
z = 1.67
Substitute z = 1.67 into eqn 6
5y-6(1.67) = 0.3
5y - 10 = 0.3
5y = 10.3
y = 10.3/5
y = 2.06
Substitute z = 1.67 and y = 2.06 into equation 1
From 1:
2x+3y+4z = 15.30
2x+3(2.06)+4(1.67) = 15.30
2x+6.18+6.68 = 15.30
2x+12.86 = 15.30
2x = 15.30-12.86
2x = 2.44
x = 2.44/2
x = 1.22
Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67
How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …
3 mph
Please help!!!!
Answer:
Alex needs to walk for 45 minutes.
Step-by-step explanation:
2.25 / 3 = 0.75 hours
0.75 hours = 45 minutes
The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?
Answer:
(4, -3)
Step-by-step explanation:
It says my answers need to be at least 20 characters long so I had to write this.
Alice drove 170 miles in 2.5 hours. At this rate, how far will she drive in 4 hours? miles
Answer:
She will drive 272 miles in 4 hours.
Step-by-step explanation:
The product of a number x minus 5 and three less than twice x
Answer:
(x-5)(2x-3)
Step-by-step explanation:
key words:
product = multiplication
minus - subraction
x-5
and = first phrase times next phrase
less than = a number minus the number before the 'less than'
twice = 2 times a number
if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).
i hope this helped :))
The product of a number and is 3 Find the number.
Your answer
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
*
ate: Find 8% of 40.
nt)
Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
-2/5x=-5 What is this?
Answer:
25/2 or 12 1/2 or 12.5
Step-by-step explanation:
what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?
Answer:
what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver
Answer:
Step-by-step explanation:
On the 2nd equation, turn the slope the -3x. This creates two parralel lines.
Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.
URGENT! 10 points
Solve for x then find DE
Answer:
14
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x+7+7=4x+2 simplify
Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)
Can someone please
Help w this?
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
i really really need help
Answer:
with what? i can help you more than likely if you tell me what you need help with.
Step-by-step explanation:
Five times the sum of a number n and seven
Hint- you need parenthesis
The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000
Answer:33,325,000
Step-by-step explanation:95,976,000÷2.88=33,325,000
Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).
Answer:
185
Step-by-step explanation:
distance formula is d=√((x_2-x_1)²+(y_2-y_1)²
so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]
where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]
[tex](-3-5)^{2} =64[/tex]
[tex](7+4)^{2} =121[/tex]
64+121= 185
Hope this helps...sorry if i'm wrong.
What is an equation for the line that passes through (6,-5) and (-8,16)
Answer:
y=mx
Step-by-step explanation:
i think thats the equation am pretty sure tho
Please help!!!!!!!!!!!
Find the measure of the exterior angle
Answer:
Im not sure but go with 24
exterior angle = sum of its opposite interior angles
Which means :-
[tex]x + 21 + 63 = 3x[/tex]
[tex]21 + 63 = 3x - x[/tex]
[tex]21 + 63 = 2x[/tex]
[tex]84 = 2x[/tex]
[tex]2x = 84[/tex]
[tex]x = 84 \div 2[/tex]
[tex]x = 42°[/tex]
Therefore , the correct option is :-
c) 42°ASAP ,HELP ME PLS
Find the slope given these points:
(2,-4) & (3,1)
A. 5
B. -3
C. 3
D. -5
Answer:
A.
Step-by-step explanation:
What is the QUOTIENT of 16.8 and 4.4 ?
Answer:
3.81
Step-by-step explanation:
Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
Answer:
$133
Step-by-step explanation:
Let x = amount of money she had before she spent any money.
x - 29 - 29 - 29 - 15 = 31
x - 102 = 31
x = 133
Answer: She had $133.
Answer:
she had 133$
Step-by-step explanation:
Multiply 29$ by the amount of shirts and get 87$
then add 31$, the 15$ she spent on lunch, and add the 87$ and get 133$.
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer:
48s plus 12p - 18
Step-by-step explanation:
Answer:
Add 48 + 12 and Subtract the sum from 18 (14+12-18)
Step-by-step explanation:
Sorry if I'm confusing you ;(
Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?
Answer:
8/5-12x
Step-by-step explanation:
-4(-2/5+3x)
Multiply each term inside the parentheses by -4
-4 * -2/5 + -4 * 3x
8/5-12x
Answer:
-1.6+12x
Step-by-step explanation:
First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]