Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay Colleen back altogether
Answer: Lucy pays $ 492.58 back altogether.
Step-by-step explanation:
Formula : Interest = Principal x Rate x Time
Given: Principal = $425 , rate = 5.3% = 0.053 , time = 3 years
Interest = 425 x 0.053 x 3 ≈ $ 67.58
Total amount need to pay back = Principal + Interest
= $ (425+67.58)
= $ 492.58
Hence, Lucy pays $ 492.58 back altogether.
A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?
Answer:
66and2/3 gallons of 26% and 33and1/3 of 14%
Step-by-step explanation:
x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100
13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3
Please help with these questions there due today.
What is....
-5a = -0.2
Answer:
0.04
Step-by-step explanation:
For each gym memberships sold, the gym keeps $42 and the employee who sold it gets eight dollars. What is the commission of the employee earned as a percentage of the total cost of the gym membership?
Answer:
i think 7
Step-by-step explanation:
Answer
is there it a multiple choice or just a word problem
Step-by-step explanation:
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), determine the coordinates of the other endpoint.
Answer:
The other end of the line segment is at (-8, 3)
Step-by-step explanation:
Since we know one end point and the midpoint, all we need to do is take the vector from the end point to the midpoint, and add it again to the midpoint to find the other end point:
dx = -5 - (-2) = -3
dy = -1 - (-5) = 4
-5 + dx = -8
-1 + dx = 3
So the other end of the line segment is at (-8, 3)
If a segment has an endpoint at (-2, -5) and a midpoint at (-5, -1), the coordinates of the other endpoint are (-8, 3)
The midpoint of a line segment is given as:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
One of the endpoints of the line segment is (-2, -5)
That is, [tex]x_1=-2, y_1=-5[/tex]
Let the coordinates of the other endpoint be [tex](x_2, y_2)[/tex]
Solving for [tex]x_1[/tex] and [tex]y_1[/tex] in the equation:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
[tex]-5=\frac{-2+x_2}{2} \\\\-2+x_2=-5(2)\\\\x_2=-10+2\\\\x_2=-8[/tex]
Solve for [tex]y_2[/tex]
[tex]b=\frac{y_1+y_2}{2} \\\\-1=\frac{-5+y_2}{2} \\\\-2=-5+y_2\\\\y_2=-2+5\\\\y_2=3[/tex]
The coordinates of the other endpoint are (-8, 3)
Learn more here: https://brainly.com/question/20696453
i’ll give brainliest!
Brad made a graph showing how many students were absent from school every day last week.
2. how many students were absent on day3? explain how you know.
3.on which day were the greatest number of students absent? how many students were absent that day?
ANSWER:
2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.
3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent
I obviously know this is the answer
The money used in Tajikistan is called the
Somoni. The exchange rate is $7 = 22
Somoni. Find how many
dollars
you
would receive if you exchanged 66
Somoni.
O $16
O $18
O $207,43
$21
three hundred x 3 hundred 300x300
Answer:
81,00000000
Step-by-step explanation:
Hope this Helps! :)
What is the value of x in the equation Negative two-fifths x minus 2 = 18?
–50
–40
–8
–6
Answer:
50
Step-by-step explanation:
There are between 24 and 40 student in a class. The ratio of boy to girl is 4:7 how many student are in the class
Students wash cars to raise funds for class trips. The class made a profit of $326.60 from last Saturday’s car wash, which was 92% of its revenue. How much was the revenue(commission) for the car wash? (plsssssss answer someone)
Answer:627.072
Step-by-step explanation:
Write an equation in slope intercept form that passes through (-1, 4) and (3, -8).
Answer:
Step-by-step explanation:
here is an example in the shown file
Answer:
y= -3x+1
Step-by-step explanation:
I need help with this please!!
Answer:
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Step-by-step explanation:
1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]
2. Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]
3.Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]
4. Remove parentheses.
[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]
5. Collect like terms.
[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]
6. Simplify.
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Thus. the answer is,
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
The photography club has 28 members. There are 12 boys in the club.
What is the ratio of boys to girls in simplest form?
3/4
3/7
7/3
4/3
brainlest
(4x−3)(3x+6) how can i find the terms
Step-by-step explanation:
(4x-3)(3x+6)
4x(3x+6)-3(3x+6)
12x+24-9x-18
12x-9x+24-18
3x+6
x=6/3
x=2
Jazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?
Answer:
1,500
Step-by-step explanation:
20 points for someone who can say answers for 1-9.. or send their work from this sheet.. please, help :(
Answer: 1) y=1/3x-1
2) y=-2/5x+0
3) y=1x+8
4) y=-3/6x+3
5) y=5/2x+1
6) y=-8/2x-5
7) y=1x+2
8) y=-2/3x-4
9) y=6/5x
Step-by-step explanation: For the graph: if the line is pointing to the right Mx from the equation Y=Mx+B it’s going to be POSITIVE for example: Y=7x+4 If it’s pointing to the left it’s NEGATIVE for example: Y=-6x+2. If want to know the Y-INTERCEPT = B you have to find the point that is connected to the (0,0) on the graph
Help-
my tiny brain can’t figure this out
Answer:
3 1/2 is the closest
Step-by-step explanation:
Theres 3 that are full and 2/5
Answer:
its 3 1/2 or c
Step-by-step explanation:
PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG
Answer: He was given 50 for his birthday
Answer:
It's b
Step-by-step explanation:
This was the first answer I gave. So I am going with it.
Which of the following is equivalent to 3(y−1+2y)?
Distribute -5(m-2)
Help
Answer:
(-5*m)-(-5*2)
Step-by-step explanation:
Here, we want to use the distributivity property to evaluate the expression
We have this as;
(-5*m)-(-5*2)
............°_°.............
Answer:
3/4 and 0.95 would both result in a reduction.
Step-by-step explanation:
multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.
Hey again!
The answers to your question are 3/4 and 0.95
A reduction is making it smaller, and since 3/4 and 0.95 are smaller than 1, they result in a reduction
Hope it helps! Also, how many questions do you have left?
please answer tysmmmmmmmmm
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
Plz help me find these functions!
Answer:
[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]
Step-by-step explanation:
The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:
[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\sin \alpha = \frac{5}{13}[/tex]
[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]
[tex]\cos \alpha = \frac{12}{13}[/tex]
[tex]\tan \alpha = \frac{5}{12}[/tex]
[tex]\cot \alpha = \frac{12}{5}[/tex]
[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]
[tex]\sec \alpha = \frac{13}{12}[/tex]
[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]
[tex]\csc \alpha = \frac{13}{5}[/tex]
If the manufacturer gains 6 %, the wholesale dealer 8% and the retailer 10 %. Then what
is the production cost of geyser whose retail price is Rs. 15741?
Answer:
The production cost is Rs 12,500
Step-by-step explanation:
Let the production cost be $x
At any point in time
sales price = cost price +( profit percentage* cost price)
Manufacturer gaining 6%
That would be;
x + 6% of x
x + 0.06x
= 1.06x
Wholesaler gaining 8%
= 1.06x + 8% of 1.06x
1.06x + 0.08(1.06x)
= 1.06x + 0.0848x
= 1.1448x
The for the retailer
= 1.1448x + 10% of 1.1448x
= 1.1448x + 0.11448x
= 1.25928x
1.25928x = 15,741
x = 15,741/1.25928
x = 12,500
Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph
Answer:
2.07 miles
Step-by-step explanation:
If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3
Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
A car costsA car costs $30,000 when purchased as new and depreciates at a rate of 18% per year.Write an exponential decay model to represent the situation. Be sure to define the variables. Find the value of the car after 10 years
9514 1404 393
Answer:
v(t) = 30000×0.82^t . . . value in dollars after t years
v(10) ≈ 4123 . . . . dollars
Step-by-step explanation:
The general form of the decay model is ...
f(t) = f(0)×(1 -decay rate)^time
where the decay rate is a fraction between 0 and 1, and the time is expressed in the same time units as the decay rate. The multiplier f(0) is the initial value that is decaying.
In this problem, the initial value is $30,000 and the decay rate is 18% per year. So, we can write a function v(t), where v is the car's value in dollars, and t is the number of years after it starts depreciating.
v(t) = 30,000×(1 -0.18)^t
v(t) = 30,000×0.82^t
__
The car's value in 10 years is ...
v(t) = 30,000×0.82^10 ≈ 4123.44
The value of the car after 10 years is about $4,123.