Answer:
[tex] x = (-1)\ \& \ y =1[/tex]
Step-by-step explanation:
Given :-
x + 3y = 22y - x = 3And we need to find out the ordered pair is the solution of the system . The system is ,
[tex]\begin{cases} x + 3y = 2 \quad \dots (i) \\\\ 2y - x =3\quad \dots (ii) \end{cases}[/tex]
We can see that the signs of x are opposite in the given equation .So on adding we can eliminate x .
On adding the equations :-
[tex]\implies 3y + 2y = 3+2 \\\\\implies 5y = 5 \\\\\implies y = 1 [/tex]
Substitute for y :-
[tex]\implies 3 + x = 2 \\\\\implies x = 2-3 \\\\\implies x = -1 [/tex]
Hence the value of x is -1 and y is 1
Marge purchased x bicycle helmets and y tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 items and spent $176.00. How many helmets did Marge buy?
Answer:
8 x 12 = 96 10 x 8 = 80 96 + 80 = 176 so the answer is 8 helmets and 10 pumps
Step-by-step explanation:
I need help so yea please help
Answer:
option 3
Step-by-step explanation:
divide the diameter by 2 to get the radius.
pi×r^2
3.14×42^2=5538.96 km^2
Question: At Fairview elementary school, 9% of the students are left-handed. What is 9% written as a decimal?
Answer choices:
A- 90.0
B-9.0
C-0.9
D-0.09
Comment what is the answer if you know, please! :)
Answer:
0.09
Step-by-step explanation:
move decimal over to the left twice
Ez question i just want ppl to have brainlest Question 2(Multiple Choice Worth 4 points)
(06.03 LC)
Solve 0.15 ÷ 3 = ___.
0.01
0.05
0.07
0.10
a pencil cells at 18 Ghana cedis in an eraser class at 12 Ghana cedis how much will you pay if you buy three pencils and for erasers
You mean "four" erasers instead of "for" erasers which i corrected and solved.
Answer: You will pay 102Ghana cedis
Step-by-step explanation:
a pencil cells at 18 Ghana cedis
Three pencils will cost 3 x 18Ghana cedis=54 Ghana cedis
Also an eraser class at 12 Ghana cedis
Four erasers will cost 4 x 12 =48Ghana cedis
Total amount for three pencils and for erasers =54 Ghana cedis+48Ghana cedis=102Ghana cedis.
I will give brainiest
Answer:
A is equal to 20.
Step-by-step explanation:
To find the missing side we have to square both 21 and 29.
Because 21 x 21 = 441, and 29 x 29 = 841, all we have to do is subtract 841 from 441 and we have 400.
Now we have to find the square root of 400, since 20 x 20 = 400, that means 20 is our answer.
Biking at 10 mph, it takes Kristen 1/4 hour to reach the train station to go to work. Kristen then takes the train to work, and it takes another 1/4 hour for her to get to work when the train travels 20 mph. How far does Kristen travel to work?
Answer:
Kirsten travels 7.5 miles to go to work.
Step-by-step explanation:
Bike: 10 MPH
Time: 1/4 Hour
1/4 of 10 = 2.5
Distance travelled on bike: 2.5 miles
Train: 20 MPH
Time: 1/4 Hour
1/4 of 20 = 5
Distance travelled by train: 5 miles
Add the distances together.
5 + 2.5 = 7.5
7.5 miles
If a_1=3a 1 =3 and a_n=(a_{n-1})^2+1a n =(a n−1 ) 2 +1 then find the value of a_4a 4 .
if a₁ = 3 and [tex]a_n = a^2_{n-1} + 1[/tex] then the fourth term of the given sequence is a₄ = 10,201.
Use the concept of series defined as:
The series where the common difference between any two next words stays constant is known as an arithmetic sequence.
Given that,
a₁ = 3
[tex]a_n = a^2_{n-1} + 1[/tex]
Here a₁ represents the first term of the sequence.
[tex]a_n[/tex] representing the nth term of the sequence.
Now 2nd term of the sequence is:
a₂ = a₁² + 1
Therefore,
a₂ = 3² + 1
a₂ = 10
3rd term is,
a₃ = a₂² + 1
a₃ = 10² + 1
a₃ = 101
And 4th term is,
a₄ = a₃² + 1
a₄ = 101² + 1
a₄ = 10,201
Hence,
The fourth term sequence is 10,201.
To learn more about sequence visit:
brainly.com/question/12373434
#SPJ12
The complete question is:
If a₁ = 3 and [tex]a_n = a^2_{n-1} + 1[/tex] then find the value of a₄.
a farmer uses 1/3 of his land to plant cassava 3/5 of the remaining land to plant Maize and the rest vegetables if vegetables cover an acre of 10 and area of 10 acres what is the total area of the framers land
Answer:
37.5 acres.
Step-by-step explanation:
Fraction of his land where vegetables are grown
= 1 - 1/3 - 2/3 *3/5
(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.
= 1 - 1/3 - 6/15 LCD of 3 and 15= 15 so we write:
= 1 - 5/15 - 6/15
= 1 - (5+6)/16
= 1 - 11/15
= 4/15.
4 /15 is equivalent to 10 acres
so total area (= 1) = 10 / 4/15 Invert the 4/15 and multiply:
= 10 * 15/4
= 150/4
= 37.5 acres.
HELP FAST
Find the value of x and y in parallelogram ABCD.
B
X-7
6
2y-6
D
с
Answer:
x = 13, y = 7
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , so
x - 7 = 6 ( add 7 to both sides )
x = 13
and
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
PLEASE HELP NOW. Given: BC = AD, AD = 17 DC = 14, m∠1=m∠2 Find: AB, BC
PLEASE WRITE STATEMENT AND REASONING
Answer:
Step-by-step explanation:
Disclaimer: Some of my reasons may be a bit different than what you use.
stmt rsn
1. BC = AD, AD = 17, DC = 14, 1. given
m<1 = m<2
2. AC = CA . 2. reflexive prop.
3. ΔABC ≅ ΔCDA 3. SAS
4. AB = DC 4. CPCTC
5. AB = 14, BC = 17 5. substitution, 1, 4
Solve for X
6
7
8
9
10
Answer:
7 .............................
x²=6²+8²=36+64=100 <=> x=√100=10
hii i’ll give brainliest please help thanks :)
Answer:
A.) .75
Step-by-step explanation:
So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:
0.5, 0.5, 0.75, 0.75, 1, 1, 1
And the median of the is 0.75
So the lower quartile is .75
hope this helps:)
What is the equation of a line that passes through (0.8) and (3,6)?
Answer:
[tex]y=\frac{-2}{3}x+8[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points [tex](x_1,y_1)[/tex] are [tex](x_2,y_2)[/tex]
Plug in the given points (0,8) and (3,6)
[tex]m=\frac{6-8}{3-0}\\m=\frac{-2}{3}[/tex]
Therefore the slope of the line is [tex]\frac{-2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{-2}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{-2}{3}x+b[/tex]
The y-intercept occurs when x=0. One of the given points is (0,8), so therefore, the y-intercept is 8. Plug this into [tex]y=\frac{-2}{3}x+b[/tex]:
[tex]y=\frac{-2}{3}x+8[/tex]
I hope this helps!
Find the area of the composite shape.
Simplify the expression below.
(x^-4)^-6
A.
x^-24
B.
x^-10
C.
x^10
D.
x^24
Answer:
(a)
Step-by-step explanation:
x^-4 + -4 + -4 + -4 + -4 + -4 = x^-24
hope it helps :)
help lolololololololol
Answer: 27/ D8
Step-by-step explanation: Don’t know if you still need the answer and Hope this helps and have a good day
The local water slides have 72
employees, of which 25% are
temporary. How many
temporary employees are
there?
Answer:
18
Step-by-step explanation:
Step 1: Convert 25% to a fraction
[tex]\frac{25}{100}[/tex]
Simplify
[tex]\frac{1}{4}[/tex]
Step 2: Convert 72 to a fraction
[tex]72 = \frac{72}{1}[/tex]
Step 3: Set it up
[tex]\frac{1}{4}\times \frac{72}{1}[/tex]
Step 4: Cross divide
[tex]72 \div 4 = 18[/tex]
[tex]1 \div 1 = 1[/tex]
[tex]\frac{18}{1} = 18[/tex]
Therefore, the are 18 temporary employees in the local water slides.
A shirt costs $25. A sweater costs
3/4
as much as the shirt.
Answer:
25 dollars ?????????????????
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
help me in math i'm
confused
Answer:
4
Step-by-step explanation:
umm please help me it is confusing
Answer: x = 24 & x = 96
Step-by-step explanation:
Answer: Every option given is a solution
Any value larger than 18 is a solution. So we can say x > 18.
============================================================
Explanation:
To isolate x, we multiply both sides by 6 like so
3 < x/6
3*6 < x
18 < x
x > 18
In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.
---------
As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90
So,
3 < x/6
3 < 90/6 ... replace every x with 90
3 < 15
The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.
The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.
The radius of a circular stage is 15 feet. Katie wants to lay down tile to cover the stage. If Katie pays $12.50 per square foot of tile, how much would it cost to tile the entire stage floor? Round to the nearest whole dollar.
Answer:
$8835.75
Step-by-step explanation:
The equation to use for this is for the area of a circle which is:
π r^2
So by plugging in 15 feet:
π 15^2,
π 225,
~706.86 ft^2.
Next, multiply this by the $12.50 per square foot.
706.86 * 12.50 = $8835.75
All done!
Please Help!!! Need tonight! No fake links or I WILL report you!
In function graphing, if there is no amplitude change (mainly looking for tangent), what do you write? 1?
Answer:
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.
The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..
so its not 1 but 2.
hope its right.
Leslie invested in an account that paid 2% annual interest compounded continuously. After 40
years, her investment was worth $6231.51. To the nearest dollar, what was the value of
Leslie's original investment?
Pls show work and answer the question
Answer:
60
Step-by-step explanation:
To find the area of a triangle, multiply the base and height, then divide by two
The center triangle's area is (5*6)/2, which is also 15.
Since all the triangles are congruent, multiply 15 by 4 to get the total surface area, which is 60
Please help I’ll make you the brainiest
please help me solve this
the sum of 2 numbers is 90 and one of them is 2 times the other
what are the 2 numbers?
Answer:
as what I think it's 45. maybe
Ashley and her 2 sisters are planning to buy a treadmill online. The total cost of the treadmill is $400. In addition, there is a shipping and handling fee that is 5% of the cost of the treadmill. Finally, there is a 7% sales tax added to the cost of the purchase (treadmill cost + shipping and handling).
If they decide to split the bill evenly, then how much will each sister have to pay?
Answer:
Step-by-step explanation:
200 because 4 dived by 2=2. kay?
please help with this question and show how u found it i will mark u brainliest!
Answer:
32
Step-by-step explanation:
Place -3 in place of x
[tex]3^{3} + 5[/tex]
27 + 5
Answer:
32
Step-by-step explanation:
x^3+5
substitute -> 3^3+5
3^3= 27
27 + 5 = 32