Answer:
[tex]x=1, y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]
Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]
[tex]-\:2x\:-\:5y=-12[/tex]
Add 5y to both sides.
[tex]-2x-5y+5y=-12+5y[/tex]
Simplify.
[tex]-2x=-12+5y[/tex]
Divide both sides by 2.
[tex]x=-\frac{-12+5y}{2}[/tex]
Substitute x for [tex]-\frac{-12+5y}{2}[/tex].
[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]
Simplify.
[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]
Isolate y for [tex]-29y+60=2[/tex]
[tex]y=2[/tex]
Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.
[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]
Simplify.
[tex]x=1,\:y=2[/tex]
Please vote me Brainliest if this helped!
Round= 2.718281828459045 to the nearest thousand
Answer:
2.718
Step-by-step explanation:
2.718281828459045 to the nearest thousandths is 2.718
can someone solve this for me please, i really need help
Answer:
I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))
Step-by-step explanation:
In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1
Answer:
I chose B. 3
Step-by-step explanation:
I chose B because the person is either staying still, not moving, or something of the sort.
what does one and sixty-three hundredths look like?
Answer:
1.630
Step-by-step explanation:
Solve the inequality.
2>6-3r
The solution is
Answer:
r=9
Step-by-step explanation:
Prove that the value of the expression a^2–a is divisible by 2 for any whole value of a.
Answer with explanation:
To prove: [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Consider [tex]a^2-a=a(a-1) \ \ \ \ [\text{ Taking 'a' out as common }][/tex]
Here, a and (a-1) are two consecutive numbers such that,
either of them must be an odd number and an even number.
i.e. a(a-1)= Product of even and an odd number = Even number [Trivial statement]
⇒ a(a-1) is divisible by 2 [Every even number is divisible by 2.]
⇒ [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Hence proved.
please help ppppppppppppp
Answer:
112
Step-by-step explanation:
formula = lwh/3 (length x width x height / divided by 3)
Answer:
112in
Step-by-step explanation:
Please mark brainliest.
A. 100 degrees
B. 150 degrees
C. 33 degrees
D. 107 degrees
I need help with my exam
Someone please help!!!!!
Work out the value of (3^2)2 x (10^3)2
Answer:
Value In Scientific Notation Will Be: 3.6 x 10^4
Expanded Form Will Be: 36000
can someone plz solve this 20/160 = x/220
Answer:
x=55/2 in fractions and 27.5 in decimals
Step-by-step explanation:
every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.
The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?
Answer:
Step-by-step explanation:
a) Data and Calculations:
Estimated useful life of a computer = 5 years
Cost of a computer purchased = $2,400
Annual depreciation expense = $480 ($2,400/5)
This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.
After 3 years, the cost already expensed = $1,440 ($480 * 3)
The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).
b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.
Pls help I’ll brainlest
(9x+5)-(6x-8) please help.
Answer:
3x-3 i think
Step-by-step explanation:
9x-6x = 3x 5-8 = -3
(4,9) (2,6) (0,3) y intercept please
Hi there!
Hope this helps!
Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm
Answer:
147.03 sq.cm.
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this parallelogram(you don't need the 10.1):
16.9·8.7=147.03
Classify the function. y=2x^3 - 4x^2 - 160x
The scatter plot shows the average weights of children at a pediatrics clinic. Write an equation for the trend line, using the points (5,40) and (0,10).
Given:
The points are (5,40) and (0,10).
To find:
The equation for the trend line using the given points.
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points are (5,40) and (0,10). So, the equation of trend line is
[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]
[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]
[tex]y-40=6(x-5)[/tex]
[tex]y-40=6x-30[/tex]
Adding 40 on both sides, we get
[tex]y=6x-30+40[/tex]
[tex]y=6x+10[/tex]
Therefore, the equation of trend line is [tex]y=6x+10[/tex].
You start at the origin (0,0). Complete the following transformations and determine the final point.
• translate 2 units right and 3 units down
• reflect over the x-axis
• rotate 180° about the origin
• translate (x,y) → (x + 6,9 + 7)
Answer:
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
Step-by-step explanation:
hope it helps
what is the product? 1/2*[12,64 -78,30]
Please use the Quadratic Formula to find the zeros of the function below.
g(x) = 2x2 + x + 25
Answer:
Step-by-step explanation:
the triangles below are similar.
Answer: 54
Step-by-step explanation:
Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.
Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.
Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?
Group of answer choices
4/8
0
6/8
6/16
A class is made up of 50 boys, 25 girls,
What is the ratio of boys to girls.
Answer:
10 boys to 5 girls you got to divide
Step-by-step explanation:
you have to put 50 over 25 and simplify them by 5 and you get 10 boys to 5 girls I think.
Class made up of 50 boys and 25 girls will have boys to girls ratio as 2 : 1
Calculations for the ratio of boys to girls:
Ratio of the boys to girls in a class can be evaluated by the expression,
Ratio = [tex]\frac{\text{Total number of boys}}{\text{Total number of girls}}[/tex]
Given in the question,
Number of boys = 50
Number of girls = 25
Substitute these numbers in the expression and simplify the fraction,
Raio = [tex]\frac{50}{25}[/tex]
= [tex]\frac{2}{1}[/tex]
= 2 : 1
Therefore, ratio of boys to girls in the class is 2 : 1
Learn more to evaluate the ratio here,
https://brainly.com/question/14966195?referrer=searchResults
distribute this: 3(9x+2)
have a lovely day my fellow earthlings <3
Answer:
27x + 6Step-by-step explanation:
Distributive property of multiplication:
a(b + c) = ab + acApply to the given expression:
3(9x+2) =3(9x) + 3(2) =27x + 6Answer:
27x+6
Step-by-step explanation:
this is math and I need help to solve
Answer:
A. 15
Step-by-step explanation:
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
9
10
-1
-20
-40
-60
-80
-100
- 120
-140
-160
-180
-200
Answer:
Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 2)²(x – 5)2
y
200
180
160
140
120
100
80
60
40
20
-10 9 8 7 6 5 4 3 2
1
2
3
5
6
7
What are two equivalent fractions to 9/15
Answer:
3/5 and 18/30
Step-by-step explanation:
Extending answer so I can send
DO NOT TAKE POINTS!!! Answer this question with what it is asked for. If you have a comment put it in the comment section.
Please explain your thinking and complete the question
Answer:
See the attached
Step-by-step explanation:
The answer is in the attached picture
2(x+1)^2=32
Help pls
Answer:
2x+2x2=32
2x+4=32
Step-by-step explanation: