Answer:
The equation is, [tex]5x+3y=82[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the cost of small wreaths.
So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].
Let [tex]y[/tex] represent the cost of large wreaths.
So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].
On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].
The equation is, [tex]5x+3y=82[/tex].
Patrick is riding his bike on a rectangular path around his city. There is a rest area at each of the path's four corners. The city map shows the corners marked with coordinates of (–2, 2), (1, 2), (1, –2), and (–2, –2). Each unit represents 2.5 miles.
Question:
What is the perimeter of the path, in miles?
Answer:
35 miles
Step-by-step explanation:
Given
Let the corners be ABCD
[tex]A = (-2,2)[/tex]
[tex]B = (1,2)[/tex]
[tex]C = (1,-2)[/tex]
[tex]D = (-2,-2)[/tex]
First, we calculate the perimeter of the corners in units.
This is done by calculating the distance between the corners.
Distance is calculated as:
[tex]D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]
For AB:
[tex](x_1,y_1) = (-2,2)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
[tex]D_1 = \sqrt{(1 - (-2))^2 +(2 - 2)^2 }[/tex]
[tex]D_1 = \sqrt{(1 +2)^2 +(0)^2 }[/tex]
[tex]D_1 = \sqrt{3^2}[/tex]
[tex]D_1 = 3[/tex]
For BC
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
[tex]D_2 = \sqrt{(1 - 1)^2 +(-2 - 2)^2 }[/tex]
[tex]D_2 = \sqrt{(0)^2 +(-4)^2 }[/tex]
[tex]D_2 = \sqrt{16 }[/tex]
[tex]D_2 = 4[/tex]
For CD:
[tex](x_1,y_1) = (1,-2)[/tex]
[tex](x_2,y_2) = (-2,-2)[/tex]
[tex]D_3 = \sqrt{(-2 - 1)^2 +(-2 - (-2))^2 }[/tex]
[tex]D_3 = \sqrt{(-3)^2 +(-2 +2)^2 }[/tex]
[tex]D_3 = \sqrt{9 +0^2 }[/tex]
[tex]D_3 = \sqrt{9 }[/tex]
[tex]D_3 = 3[/tex]
For DA
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (-2,2)[/tex]
[tex]D_4 = \sqrt{(-2 - (-2))^2 +(2 - (-2))^2 }[/tex]
[tex]D_4 = \sqrt{(-2 +2)^2 +(2 +2))^2 }[/tex]
[tex]D_4 = \sqrt{0^2 +4^2 }[/tex]
[tex]D_4 = \sqrt{4^2 }[/tex]
[tex]D_4 = 4[/tex]
The perimeter P in units is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 3+4+3+4[/tex]
[tex]P = 14[/tex]
Given that:
[tex]1\ units = 2.5\ miles[/tex]
Multiply both sides by 14
[tex]14 * 1\ units = 14 * 2.5\ miles[/tex]
[tex]14 \ units = 35\ miles[/tex]
Hence, the perimeter is 35 miles
Can somebody please help me? I will give brainliest!
Answer: -2.5f-16
Step-by-step explanation: Good luck! :D
Answer:
-2.5f-16 is your answer and you'll get it correct
Step-by-step explanation:
trust me :)
A store is having a going-out-of-business sale. A television set that originally cost $2,000 has been marked down by 25%. What do you pay for the television set w
Answer:
$1500
Step-by-step explanation:
If the television is marked down by 25%, it means that the price was reduced by 25%. This means that the television would be 100% - 25% = 75% of the original price.
The price of the television following the mark down=
0.75 x $2,000 = $1500
What is NOT included in Islamic mosaics?
A. geometric shapes
B. images of God
C. patterns
Answer:
I believe it's images of god
Answer:
the answer is the option : B
i need help with both please this is due in 10 minutes
Answer: the first one is a function. the second one is not.
what is 350/100 as a fraction and decimal?
Answer: 350/100 as a decimal equals 3.5
Step-by-step explanation:
Find the measurement.
1. m<1 =
2. m 2 =
NT
31°
3
3. m<3 =
4. m<4
Answer:
Its Jesus, its Jesus
Step-by-step explanation:
Jesus is always the answer
Write a parallel lines and perpendicular lines in the given figure .
Answer:
parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b
Step-by-step explanation:
Parallel lines are lines that can go on and on forever, and never meet !
Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !
Dan made 90 free throws in 30 minutes Alex made 60 free throws in 20 minutes compare the unit rates
A) Dan made more free throws per minute
B) Alex made more free throws per minute
C) they made the same free-throw‘s per minute
Answer:
A is the answer ..........
Step-by-step explanation:
What is 3 to the third power divided by 3 to negative 4th power
Answer:
Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
Simplify x-3/x0 that all
Answer:
undefined
Step-by-step explanation:
x=0
Answer:
the answer isundedined
Step-by-step explanation: 0
O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly
Answer:
The value of a is 63° and the value of b is 27°
Step-by-step explanation:
In the given figure
∵ OA, OB, and OC are radii of the circle O
→ The radii of a circle are equal
∴ OA = OB = OC
In Δ AOC
∵ OA = OC
∴ Δ AOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OAC and ∠OCA are the base angles of the triangle
∴ m∠OAC = m∠OCA
∵ m∠OAC = a°
∴ m∠OCA = a°
→ The sum of angles in any triangle is 180°
∵ a° + a° + m∠AOC = 180°
∵ m∠AOC = 54°
∴ a° + a° + 54 = 180°
→ Add the like terms
∴ 2a° + 54 = 180°
→ Subtract 54 from both sides
∴ 2a° = 126°
→ Divide both sides by 2
∵ m∠OAC = m∠OCA = 126 ÷ 2
∴ a° = 63
∴ The value of a is 63°
In ΔBOC
∵ OB = OC
∴ Δ BOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OBC and ∠OCB are the base angles of the triangle
∴ m∠OBC = m∠OCB
∵ m∠OBC = b°
∴ m∠OCB = b°
∵ ∠AOC is an exterior angle of ΔBOC at the vertex O
→ The measure of the exterior angle equals the sum of the measure
of the opposite interior angles to this vertex
∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC
∴ m∠OBC + m∠OCB = m∠AOC
→ Substitute their measures
∵ b° + b° = 54°
→ Add the like terms
∴ 2b° = 54
→ Divide both sides by 2
∴ b° = 27
∴ The value of b is 27°
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Ginger borrowed $550 to purchase software and a camera. The simple interest rate is 8% per year. How much will she save if she pays off the loan in two and a half years instead of three and half years?
Answer:
44$
Step-by-step explanation:
8% of (550 US$) =
44 US$
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answer:
[tex]y-4=\frac{1}{2} (x+10)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point (-10,4)
[tex]y-4=m(x-(-10))[/tex]
Two negatives make a positive
[tex]y-4=m(x+10)[/tex]
Plug in the slope
[tex]y-4=\frac{1}{2} (x+10)[/tex]
I hope this helps!
Andie has a goal to complete 70% of the jumps on a skateboard course. If she has completed 30 jumps out of 50
total jumps, how many more jumps does Andie need to complete to reach her goal?
Answer:
50/100 X 70 = 35
Andie needs to do 5 more jumps.
Item 1
Find the dimensions of the square.
Area = 441 cm²
Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
What’s -9/6 divided by -1/8
Answer:
-9/6 divided by -1/8 equals 12
Step-by-step explanation:
. A negative divided by a negative is a positive so... 9/6 divided by 1/8
. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8
. Reduce the fraction with 3 so... 3/2 times 8
. Reduce the numbers with the greatest common factor 2 so... 3 times 4
. Multiply the numbers so... 3 times 4 equals 12
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
Imari's family lights 372 diyas (oil lamps) during the Diwali festival. They are arranged in 12 rows. Suppose each lamp measures 2.5 inches by 2.5 inches. What are the dimensions of the rectangular display of diyas?
Answer: 77.5 inches by 30 inches
15 is 30% of what number
Answer:
15 is 30% of 100 I believe
Answer:
50
Step-by-step explanation:
Hope this answer your question.
Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12
Pls help it due ASAP
Show workings
Pleaseeeeeeeeeeeee
please help me almost done with assingment lmk
Answer:
11
Step-by-step explanation:
4x+3 = 7x-3
3x=6
x=2
plz brainliestt
The length of each side of polygon is: 11 and 13 units.
What is Polygon?polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).
AS, we know all the sides of polygons are equal
7x-3= 4x+3
3x= 6
x=2.
Hence, the side of the triangle are:
7x-3= 7*2-3
= 11 units
4x+5=4*2+5
= 13 units
Learn more about polygon here:
https://brainly.com/question/10441863
#SPJ2
can anyone answer 7(x+3) and show work ?
Answer:
7x + 21
Step-by-step explanation:
7(x+3)
7x + 7(3)
7x + 21
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
Ignore the answer choosing it was was a mistake, please help.
Answer:
d
Step-by-step explanation:
none of the others equal 0
process of elimination
Prove that if two crosses are equal, than each pair of crosses are equal.
Do the ratios 2/1 and 20/10 from proportion?