Answer:
Two or more equations that share variables.
Step-by-step explanation:
Example:two equations that share the variables x and y:
x + y = 6
−3x + y = 2
2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.
a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Total area of parknand path way = 74,464 m2.
Dimension of park = 350m by 200m
Using the area of rectangle formula:
Area = Length * width
Area of park = 350m * 200m
Area of park = 70,000
Area of path = (74,464 - 70,000) = 4,464m2
Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m
2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path
complete the table for values for y=x^2-x-2
Answer:
x -3 -2 -1 0 1 2 3
y 10 4 0 -2 -2
Step-by-step explanation:
The given equation is y=x²-x-2.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
We need to find the y values of the give x values.
Given that, x = -3 -2 -1 0 1 2 3
When x = -3, y = (-3)²-(-3)-2
= 9+3-2 = 10
When x = -2, y = (-2)²-(-2)-2
= 4+2-2
= 4
When x = -1, y = (-1)²-(-1)-2
= 1+1-2
= 0
When x = 0, y = 0²-0-2
= -2
When x = 1, y = 1²-1-2
= -2
When x = 2, y = 2²-2-2
= 0
When x = 3, y = 3²-3-2
= 4
So, the complete table is
х -3 -2 -1 0 1 2 3
y 10 4 0 -2 -2 0 4
There, the y values of the given x values in the given equation is y = 10, 4, 0, -2, -2, 0, 4.
To learn more about an equation visit:
https://brainly.com/question/2463132.
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"Your question is incomplete, probably the complete question/missing part is:"
Complete the table for values for y=x²-x-2
х -3 -2 -1 0 1 2 3
y
I'll givee brainliest
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A. 2:1
B. 3:2
C. 9:4
D. 9:5
Answer:
D.
Step-by-step explanation:
Because 36:20 simplified is 9:5.
Answer:
It is D 9:5
Step-by-step explanation:
Beacuse 9x4= 36
and 5x4= 20
so 36:20 or 9:5
What is the area of the triangle?
Answer:
63
Step-by-step explanation:
Jeremiah invested $1,200 in a Certificate of Deposit, $3,500 in a corporate bond, $900 in a common stock, and $2,475 in a preferred stock, The COD has a rate of return of 2.1%; the corporate bond is -1.3%; the common stock's rate of return is 4.1%; and the preferred stock has a rate of return of 5.5%.
What is the weighted mean, mean and median overall rate of return on Jeremiah's investment portfolio?
Can any kind soul help me please
Answer:
(i) we will be finding the acceleration here, in the first 20 seconds the velocity was 10
a = velocity/time
a = 10/20
a = 0.5 ms -2
(ii) difference in distance of the bus and bicycle will be given by formula of velocity
velocity of bicycle
10 * 80 = distance
800 metres
velocity of bus
for first 20 seconds( distance= velocity* time)
200 metres
from 20 seconds to 60 seconds, it will be for 40 seconds
then distance will be,
400 metres
final 20 seconds
200 metres
adding the distances of bus it will be 800 metres.
the difference in distance will be 0 metres.
this is wat i think
What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?
Answer:
4.53%
Step-by-step explanation:
We are told that:
From the question, we have a 6.5 % coupon
Hence = 6.5 × $10
= $65
Price of the bond one year later = $1,037.19
$1,054.47 - $1,037.19
= $17.28
Rate of Return
= ($65.00 - $17.28)/$1,054.47
47.72 ÷ 1054.47 = 0.045254962
0.045254962 × 100 =
4.5254962 %
Approximately = 4.53%
10. Find the parallel slope: (-2.9) and (1.-3).
a fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18
The derivation for the equation of a parabola with a vertex at the origin is started below. = StartRoot (x minus 0) squared + (y minus p) squared EndRoot = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot (x)2 + (y – p)2 = (0)2 + (y + p)2 x2 + y2 – 2py + p2 = y2 + 2py + p2 If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 + 2p2 y2 = 4px y2 = 4py
Answer:
x2 = 4py
Step-by-step explanation:
Please help me, the attachment is below. (If you don't know the answer to the question please don't answer)
Answer:
Step-by-step explanation:
The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.
Help Needed! Use The Triangle Sum Theorem To Solve For X In The Triangle.
Answer:
x = 4°
Step-by-step explanation:
All angles in a triangle add up to 180°
16x - 4 + 30 + 90 = 180
Rearrange
16x = 180 - 90 - 30 + 4
16x = 64
x = 4°
The slope of the line whose equation is 3 x - 2 y = 4 is:
A. 2/3
B. -2
C. 3/2
Answer:
c 3/2
Step-by-step explanation:
f(x)= 0.05x2+9.5x – 200
What is the value f(-2)?
Answer:-219.2
Step-by-step explanation: Assuming that by “0.05x2” you meant “0.05 * x * 2”
0.05 * -2 * 2 + 9.5 * -2 - 200
-0.2 - 19 -200
-219.2
I need help ASAP please
Answer:
Commutative property
Step-by-step explanation:
The word commutative means ¨move around¨
Answer:
It's B/2/ Commutative property.
Step-by-step explanation:
you can tell.
10. In markets, what is the signal that allocates goods and
services between buyers and sellers?
(A) price
(D) quantity
(B) demand
(E) elasticity
(C) supply
Find the linear equation for the following functions
Answer:
1st one) y = x - .8
Step-by-step explanation:
1st one) you start by finding the slope of the line which can be found with y1 - y2/x1 - x2 (in this case: 3.6-2.4/2-1 which = 1/1, or the slope is one). now that we know the slope we need to find the x intercept or the point that the line intercepts the x axis, or when y = 0. We know that that for every one we subtract from x, we subtract one from y (hence the slope 1/1). so when we subtract 1.2 from the y we subtract 1.2 from the x. so the x intercept is -.8. If we put this in y = mx+b we get y = x - .8
2nd one) you do the same thing for the 2nd one then
Suppose you have a job teaching swimming lessons and get paid $6 an hour.
You also have a job as a cashier and get paid $8 an hour. If you cannot work
more than 15 hours a week, what are the number of hours you can work at
each job and still make at least $100?
Answer:
11 hours as a cashier
and 2 hours as a teacher
11 x 8 = 88
6 x 2 = 12
88 + 12 = 100
Step-by-step explanation:
Solve the equation: 9 - 4x = 17
A.X = 4
b.X=-4
C.X = 2
D.X = -2
Answer:
x= -2
Step-by-step explanation:
so D is the answer
Answer:
[tex]\boxed {x = -2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]9 - 4x = 17[/tex]
-Subtract both sides by [tex]9[/tex]:
[tex]9 - 9 - 4x = 17 - 9[/tex]
[tex]-4x = 8[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]
[tex]\boxed {x = -2}[/tex]
Therefore, value of [tex]x[/tex] is [tex]-2[/tex].
During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she worked 34 hours and earned $410. If x represents the number hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?
Given:
Jody earns $10 per hour babysitting and $15 per hour doing yardwork.
This week she worked 34 hours and earned $410.
To find:
The system of equations models this situation.
Solution:
Let x represents the number hours she babysat and y represents the number of hours she did yardwork.
Total number of hours is 34.
[tex]x+y=34[/tex]
Total income is $410.
[tex]10x+15y=410[/tex]
Therefore, the required system of equations has equations [tex]x+y=34[/tex] and [tex]10x+15y=410[/tex].
i need this now please help me please !!
Area = 81 pi mi2
Circumference = 18 pi mi
John caught 24 trout in bass while on a fishing trip. The total weight of his catch was 137 pounds. The average weight of a trout was 2.5 pounds, and the average weight of a bass was 8 pounds. How many trout and how many bears did he catch?
Answer:
trouts = 10 and bears = 14
Step-by-step explanation:
Let number of trouts and bears be x and y respectively.
This means that since he caught 24 trout and bass, we have;
x + y = 24 - - - (eq 1)
Now, average weight of trout is 2.5 pounds and average weight of bass is 8 pounds.
Thus;
2.5x + 8y = 137 - - - (eq 2)
From eq(1), let's make x the subject.
Thus;
x = 24 - y
Put 24 - y for x in eq(2)
2.5(24 - y) + 8y = 137
60 - 2.5y + 8y = 137
5.5y + 60 = 137
5.5y = 137 - 60
y = 77/5.5
y = 14
x = 24 - 14
x = 10
Thus, trouts = 10 and bears = 14
5. Express 12⁄16 in quarters.
a. 1⁄4
b. 1⁄3
c. 2⁄4
d. 3⁄4
Answer:
D
Step-by-step explanation:
Divide 16 by 4 to get the denominator of 4. Then divide 12 by 4 to get three. Therefore your answer is D. 3/4
Answer:
3/4
Step-by-step explanation:
All I did was divide the top and bottom number by 4. 12/4= 3 and 16/4=4
John has walked 15% of the way
home from school. If he has walked
200 meters so far, how far does he
walk home from school?
Please help me. (worth 15!!!!!)
What is the value of the expression below when z = 3?
3z – 1
Answer:
8
Step-by-step explanation:
3z-1
putting the value of z
=3×3-1
=9-1
=8
Answer:
8
Given:
z=3
Step-by-step explanation:
3z – 1
3(3)-1
9-1
8
hope this helps you❤
whats 0.099 (.099repeated )as a fraction
Answer:
[tex] \frac{1}{10} [/tex]
Step-by-step explanation:
the answer is just
[tex] \frac{1}{10} [/tex]
Answer:
11/111
Step-by-step explanation:
Let x=0.099099099...
1000x=99.099099..
subtract
999 x=99
x=99/999=11/111
find the linear function from the table
Find the slope of the line through the points (3,2) and (4,5).
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question we have
[tex]m = \frac{5 - 2}{4 - 3} = \frac{3}{1} = 3 \\ [/tex]
We have the final answer as
3Hope this helps you
Stephen collected data from a travel website. The data included a hotel's distance from Times Square in
Manhattan and the cost of a room for one weekend night in August. A table containing these data appears below.
0
1
1
3
4
7.
19
Distance From
Times Square
(city blocks) (x)
Cost of a Room
(dollars) (y)
293 263
244
224
185
170
219
153
136
111
Stephen calculated the linear regression equation to be y = -7.8x + 246.3. Using this equation, find the cost of a
room 5 city blocks away from Time Square.
1) $195
2) $207
3) $238
4) $285
What’s the answer?
Answer:
$207
Step-by-step explanation:
Given the following :
Data:
X : Distance From Times Square (city blocks)
Y: Cost of a Room (dollars) (y)
The linear regression model generated for the data :
y = -7.8x + 246.3
y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept
Using the model:
The cost of a Room 5 block away :
x = 5
y = -7.8(5) + 246.3
y = - 39 + 246.3
y = $207.3
