The flags are all the same size and are space equally along the line. Calculate the length of the sides of each flag, and the space between flags by making a system of equations and solving that system..
Answers
Answer:
Step-by-step explanation:
Let the space between flags be "x" and the flag's side is "y"
2x + 3y = 80 ║ × ( - 2 )
5x + 6y = 170
- 4x - 6y = - 160 ..... ( 1 )
5x + 6y = 170 ..... ( 2 )
( 1 ) + ( 2 )
x = 10
2(10) + 3y = 80
y = 20
The space between flags is 10 cm
The flag's sides are the same size and is 20 cm
Related Questions
Solve this system of equations. Show your work!
12x + 6y = 12
y = x + 15
Answers
Answer: The equation has 2 positive integer solutions:
x1 = 0 y1 = 2
x2 = 1 y2 = 0
Step-by-step explanation:
The value of x = -4.334 and y = 10.667.
What is linear equations in two variables?When written as ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not zero, an equation is said to be a linear equation in two variables.
For this kind of equation, the solution is a pair of values, one for x and one for y, which also make the two sides equal.
Given Equations 12x + 6y = 12...….(1)
y = x + 15
y - x = 15...….(2)
divide eq. (1) by 6
(12x + 6y)/6 = 12/6
2x + y = 2
subtract from eq. (2)
y - x - (2x + y) = 15 - 2
-3x = 13
x = -13/3 = -4.334
substitute value of x in eq. (2)
y - (-4.334) = 15
y = 15 - 4.334
y = 10.667
Hence the solution of equations gives x = -4.334 and y = 10.667.
Learn more about linear equations in two variables;
https://brainly.com/question/24085666
#SPJ2
PLS HURRY I’LL GIVE BRAINLIEST!!!!!!
If one gallon of paint covers 270 square feet, how many gallons of paint will be needed to cover the shed, not including the roof? If a gallon of paint costs $25, about how much will it cost to paint the walls of the shed?
Answers
Answer:
$58.5
Step-by-step explanation:
the surface area of the shed =
[2×(11+15)×11] +[2×½×15×4]
= 572 +60
= 632 ft²
the total costs = 632/270 × $25 = $58.5
What is the inverse of the function f(x) = 2x – 10
Answers
Answer:
y = 1/2x +5
Step-by-step explanation:
change f(x) to y
y = 2x - 10
then switch x and y
x = 2y - 10
then solve for y
add 10 to both sides and divide both sides by 2
Answer:
Step-by-step explanation:
One way to find the inverse is:
1. replace the symbol f(x) with y (for simplicy--stay tuned). Now you have
y = 2x -10
2. switch x and y. You get x = 2y - 10
3. Solve for y.
x + 10 = 2y
y = (x + 10)/2
4. Replace y with the symbol for the inverse function,
Another approach is to think about inverse operations in reverse order.
f(x): start with x
multiply by 2
subtract 10
Inverse: start with x
add 10 (addition is the inverse of subtraction)
divide by 2 (division is the inverse operation of multiplication)
Select the correct answer.
Which point is a reflection of 01-4, -6) across the x-axis and the -axis?
a) point a
b) point b
c)point c
d)point d
Answers
Answer:
If we have a point (x, y), a reflection across the x-axis converts the point to (x, -y)
While a reflection across the y-axis converts the point to (-x, y)
Then if we apply both of these transformations to our point, the reflection of (x, y) across the x-axis and then across the y-axis is (-x, -y)
Then the reflection of (-4, -6) across these two axes, is:
(- (-4), - (-6)) = (4, 6)
The correct option is B.
write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Answers
Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is y=-2x+7
Hope this helps!
there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answers
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
Which number is irrational?
A. [tex]\frac{\pi }{6}[/tex]
B. 8.1
C. Recurring decimal 11.9
D. [tex]\sqrt{36}[/tex]
Answers
Irrational numbers are not able to be written as fractions or non-recurring decimals.
B. 8.1 = 81/10
C. 11.999999.... = 12 = 12/1
D. sr(36) = 6 = 6/1
pi is already irrational so dividing it by 6 does not fix that
ppppppppppppppppppppppppppppppppppppiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiipppppppppppppppppppppppppppppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeemmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer for brainlest zzzz
Answers
Answer:
A = 42 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 6 = 7 × 6 = 42 cm²
what is value? WRONG ANSWERS ONLYY
Answers
Possible names for the following angle -picture is shown
Answers
Answer:
EFB
Step-by-step explanation:
E,F and B I believe
What are the coordinates of the point plotted on this graph?
Answers
The answer is C: (-1, -8)
Cual es la ecuación recta de m=2 y p (2,3)
Answers
Answer:
y=2x-1
Step-by-step explanation:
use slope formula
the substitute into slope intercept form
The rule as a mapping for the translation of a rectangle is (x, y) = (x - 2, y + 7). Which describes this translation?
O a translation of 2 units down and 7 units to the right
O a translation
of 2 units down and 7 units to the left
O a translation of 2 units to the right and 7 units up
O a translation of 2 units to the left and 7 units up
Mark this and retum
Answers
Answer:
a translation of 2 units to the left and 7 units up
Step-by-step explanation:
Translation of points (x,y)
At point x, the function can be translated to the left or to the right.
(x-a) is the translation of the point a units to the left, and (x+a) is the translation of the point a units to the right.
At point x, the function can be translated up or down. y+a represents a shift of a units up, and y-a represents a shift of a units down.
(x, y) = (x - 2, y + 7)
x - 2: 2 units to the left.
y + 7: 7 units up
So the fouth option is correct.
A municipal electrical utility charges customers a $15 per month fee plus 12 cents per kilowatt-hour of energy used. Write an equation for a customer's monthly costs, C (in dollars) for electric service as a function of x, the kilowatt-hours used.
Answers
Answer:
C(x) = 15 + 12 * x
Step-by-step explanation:
Cost = monthly fee plus cost per hour * hours
C(x) = 15 + 12 * x
Measure the size of the angle between the 9cm and 6cm triangular sides to the nearest degree
Answers
Answer:
This is a protractor question if you dont have one then try these on a calculator.
when angle is between two lines we need see where the hypotenuse is in the diagram and where is the adjacent.
And whether the triangle is right angle or not.
Try these
shift sin -1 x sin 9/6 (for opp/hyp)
shift sin -1 (9/6) (for opp/hyp)
shift sin -1 x sin 6/9 (for opp/hyp)
shift sin -1 (6/9) (for opp/hyp)
shift cos -1 x cos 9/6 (for adj/hyp)
shift cos -1 (9/6) (for adj/hyp)
shift cos -1 x cos (6/9) (for adj/hyp)
shift cos -1 (6/9) (for adj/hyp)
shift tan -1 x tan (9/6) ( for opp/adj)
and so on....
Step-by-step explanation:
the ratio of the measures of the angles in quadrilateral dogs is 5:8:12:15. find the measure of the largest angle.
Answers
Answer:
135º
Step-by-step explanation:
Total parts
5 + 8 + 12 + 15 = 40
Value of each part; 360º in a quadrilateral
360 / 40 = 9
Largest angle
15 * 9 = 135º
Find the amount of interest for a 19-year investment of $4500 at a simple annual rate
of 2.73%
Answers
Answer:
A = $7,554.84
A = P + I where
P (principal) = $4,500.00
I (interest) = $3,054.84First, convert R as a percent to r as a decimal
r = R/100
r = 2.73/100
r = 0.0273 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,500.00(1 + 0.0273/12)(12)(19)
A = 4,500.00(1 + 0.002275)(228)
A = $7,554.84
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $4,500.00 at a rate of 2.73% per year compounded 12 times per year over 19 years is $7,554.84.
Step-by-step explanation:
Joes Enough income has been increasing each year by the same dollar meal the first year his income was $22,000 in the fourth year his income was $24,100 in which year was his income 33,900
Answers
Answer:
In the 23rd year his income was of $33,900.
Step-by-step explanation:
Joe's income has been increasing each year by the same dollar amount.
This means that his salary after t years is given by:
[tex]S(t) = S(0) + at[/tex]
In which S(0) is the initial salary and a is the yearly increase.
The first year his income was $22,000
This means that [tex]S(0) = 22000[/tex]. So
[tex]S(t) = S(0) + at[/tex]
[tex]S(t) = 22000 + at[/tex]
In the fourth year his income was $24,100
S(4) = 24100, and thus, we use this to find a.
[tex]S(t) = 22000 + at[/tex]
[tex]24100 = 22000 + 4a[/tex]
[tex]4a = 2100[/tex]
[tex]a = \frac{2100}{4}[/tex]
[tex]a = 525[/tex]
So
[tex]S(t) = 22000 + 525t[/tex]
In which year was his income 33,900
This is t for which S(t) = 33900. So
[tex]S(t) = 22000 + 525t[/tex]
[tex]33900 = 22000 + 525t[/tex]
[tex]525t = 11900[/tex]
[tex]t = \frac{11900}{525}[/tex]
[tex]t = 22.67[/tex]
Rounding up, in the 23rd year his income was of $33,900.
If i left Raleigh at 9:30 am and drove and drove 6 1/2 hours what time would it be
Answers
Answer: 4:00 pm
Step-by-step explanation:
Mr. Edwards has a total of 28 kids in his class. There are 6 more boys than there are girls. Write a system
of equations to model this and find the number of boys and the number of girls in the class.
Answers
Answer:
17 boys and 11 girls
Step-by-step explanation:
Create a system of equations where b is the number of boys and g is the number of girls:
b + g = 28
b = g + 6
Solve by substitution, by substituting the second equation into the first one:
b + g = 28
(g + 6) + g = 28
2g + 6 = 28
2g = 22
g = 11
So, there are 11 girls.
Since there are 6 more boys than girls, there are 17 boys.
So, there are 17 boys and 11 girls in the class.
A study was conducted to examine whether the proportion of females was the same for five groups (Groups A, B, C, D, and E). How many degrees of freedom would the ????2 test statistic have when testing the hypothesis that the proportions in each group are all equal?
a. 1.
b. 0.20.
c. 5.
d. 4.
Answers
Answer:
d. 4
Step-by-step explanation:
The degree of freedom is the amount of independent data set used to calculate an estimate. The degree of freedom is quite different from the sample size (n). It is calculated by subtracting one(1) from the total value of the data set (sample size (n)).
From the information given:
The sample size is the number of people in the same group
sample size n = 5
degree of freedom = n - 1
= 5 - 1
= 4
Find the area of this shape!!
Answers
Answer:
if you assume one box as 1 m^2
then area of the shape is 54 m^2
but i am not sure if this is correct answer
What’s the distance ?
Answers
Answer:
[tex]3[/tex]
Step-by-step explanation:
This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,
[tex](4,2), (5, 5)[/tex]
The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,
[tex]D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}[/tex]
Substitute the endpoints of the line into the formula and solve for the distance between the points,
[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]
Simplify, solve for the distance between the two points,
[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]
[tex]D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3[/tex]
Find the ratio math PLEASE HELP 11 POINTSSS
Answers
Answer:
19:13
Step-by-step explanation:
Put the number of oranges to Lemons, 19 to 13 or 19:13
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
correct√
Step-by-step explanation:
oranges=19
lemons=13
oranges to lemons = 19:13
3. In circle OJ, shown below, LK and MN are chords,
intersecting at point O. If LO=3, OK= 3, and MO =
1, what is ON?
M
K
(1) 1
(2) 3
(3) 6
(4) 9
Answers
9514 1404 393
Answer:
(4) 9
Step-by-step explanation:
The product of the segment lengths of each chord is the same.
LO×OK = MO×ON
ON = LO×OK/MO = 3×3/1
ON = 9
no links, if ur right i’ll give u brainlist!!
Answers
Answer:
answer is C. if im wrong just let me know :3
Can y’all help me on question 17?!
Answers
Answer:C
Step-by-step explanation:
length•width•height
12•4•5.5=264
Help I don’t know what I’m doing
Answers
Your slope is 6/4. I found this by locating two points where the line intercepts evenly at two points. One was on the y-axis(0,-3) and the other was at (5,3). I then calculated the slope- rise over run or y over x. Because this graphs in a straight line, it is a linear equation. Your equation formula is y = mx + b. M is your slope, and b is your y-intercept. y = 6/4x -3
What is the scale factor of this dilation? not drawn to scale
Answers
Answer:
a
Step-by-step explanation: