Answer:
Step-by-step explanation:
You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?
If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5
What is rectangle?"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."
What is triangle?"A triangle is a polygon with three edges and three vertices."
The given figure contains a rectangle and a triangle.
Length of rectangle = 10 ft
Breadth of rectangle = 8 ft
Area of rectangle = length × breadth
Area of rectangle = 10 × 8 = 80 ft.
Base of triangle = 8 ft.
Height of triangle = 3 ft.
Area of triangle = [tex]\frac{1}{2}[/tex]× base × height
Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.
Total area of fence = Area of rectangle + Area of triangle
Total area of fence = 80 + 12 = 92 ft.
Cost of one foot of fence = $1.50
Cost of 92 foot of fence = $1.50 × 92
Cost of 92 foot of fence = $138
4 square feet is covered by = 1 bag of gravel
1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel
92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel
Cost of 1 bag of gravel = $3.50
Cost of 23 bags of gravel = $3.50 × 23 = $80.5
Total amount spend = $138 + $80.5 = $218.5
Hence, total amount spend is $218.5
To learn more about rectangle and triangle here
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find lcm of 7 by 24 and 17 by 36
Step-by-step explanation:
LCM for 7 by 24=168
LCM for 17 by 36=612
Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
Answer:
A
Step-by-step explanation:
The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
What are equivalent expressions?Equivalent expressions are expressions that have equal values, when compared
The expression is given as:
[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]
Take LCM
[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]
Express the quotient as products
[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]
Evaluate the product
[tex]\frac {2y - 4x}{5x + 3y}[/tex]
Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]
Read more about equivalent expressions at:
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Please help me question is in the picture
Answer:
1. Down
2. 9 units down
3. Left
4. 5 units left
1. "-4 less than a number is 17."
Answer:
yes
Step-by-step explanation:
Two parallel lines are cut by a transversal as shown below.
Suppose m∠5 = 104°. Find m∠2 and m∠4.
m∠2 = _°
m∠4 = _°
Answer:
Angle 2 = Angle 4 = 76
Step-by-step explanation:
Here, we want to get the measures of angle 2 and angle 4
From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)
The reason for this is because both angles are same side interior angles
Thus,
angle 2 + angle 5 = 180
angle 2 = 180 - angle 5
angle 2 = 180 -104
angle 2 = 76
Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles
Thus, angle 2 = angle 4 = 76
Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135
I think the answer is B.....
[tex](3)/(\sqrt(73)) in simpest radical form[/tex]
Answer:
the answer is [tex]\frac{3\sqrt{73} }{73}[/tex]
Step-by-step explanation:
If you have any questions feel free to ask - Mark
John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon
Answer:
2.59
Step-by-step explanation:
Divide $54.39 by 21.
Answer:
$2.59/gallonStep-by-step explanation:
Given that
21 gallons = $54.39Find the price per gallon.
21/1 = 54.39/price
price = 54.39/21
price per gallon = $2.59 (two Dollars and fifty nine cents)
____________________
#IndonesianPride - kexcvi
HELP TEST IS TIMED IF U DON'T KNOW PLEASE DON'T ANSWER
Braxton compared the number of shots taken by each team member during two basketball practices. The results are shown on the dot plots below. The mean number of shots taken at practice 1 is 13 and the mean number of shots taken at practice 2 is 14.5.
A dot plot titled Shots Taken at Practice 1. The number line goes from 10 to 16. There is 1 dot above 10, 1 above 11, 2 above 12, 4 above 13, 2 above 14, 1 above 15, and 1 above 16.
A dot plot titled Shots Taken at Practice 2. The number line goes from 10 to 16. There are 0 dots above 10, 11, and 12, 4 above 13, 2 above 14, 2 above 15, and 4 above 16.
Which is an accurate comparison of the two data sets?
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed less variability than the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
Answer: The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
Step-by-step explanation:
HELP PLZZZ !!!HELP WHICH REPRESENTS THE WIDTH OF THE RECTANGLE IN YARds?!!!!
I need help with this. math
Answer:
x=35
Step-by-step explanation:
Hello There!
The shown angles are supplementary angles meaning that the sum of the two is 180
so
180=2x+43+2x-3
step 1 combine like terms
2x+2x=4x
43-3=40
now we have
180=4x+40
step 2 subtract 40 from each side
180-40=140
now we have
140=4x
step 3 divide each side by 4
140/4=35
4x/4=x
we're left with
x=35
Find the greatest common factor of 14 and 28
The diameter of a wheel is 70 cm. How many times will the wheel revovle in order to cover a distance of 110 m?
p.s: please answer soon.
Can someone help me please
Answer:9/40
Step-by-step explanation:
there is no use of hupotenuse as tanA = p/b
f(x)=x^2-4 need help
NHDHDHDHDUDIDIDIDIDIFUFUTURURURURURURURURURURURURURUTURURYRYRYRYRYDYRYRYYRYRURYFRF
Hello! Can some please help me on this problem?
Answer:
It is 1) True hope this helps
Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 o(-5, -3)} O [(1,1)] O [(5.3)]
Answer:
2.2 results in a true equation, 2.2 is a solution to the equation.
Step-by-step explanation:
Step 1. Substitute the number for the variable in the equation.
Step 2. Simplify the expressions on both sides of the equation.
Step 3. Determine whether the resulting equation is true.
If so, the number is a solution.
If not, the number is not a solution.
What is the distance between (-5,3) and (3,3)?
Answer:
8
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Kate wanted to sell a box of candy bars to raise money for her team. She sells 1/4 of the box at school. And 1/2 of the box to her neighbors. What fraction of the candy bars dose kate still have to sell. Put your answer in simplest form
Answer: 1/4
Step-by-step explanation:
Fraction of the box of candy bars sold at school = 1/4
Fraction of the box of candy bars sold to neighbor = 1/2
Therefore, the fraction that she has sold already will be:
= 1/4 + 1/2
= 1/4 + 2/4
= 3/4
The fraction of the candy bars that Kate still have to sell will be:
= 1 - 3/4
= 1/4
Kate has 1/4 candy bars left to sell
find 5 rational numbers between 3/5 and 2/3
This is the required answer <3
1 point
1. A square with an area of 300 in? must have side lengths that are
between: *
A. 17 and 17.5 inches
B. 18 and 20 inches
C. 15 and 16 inches
D. 14.5 and 15 inches
227 18
1 point
Please help have to turn in by 2:30
Answer:
I would say the answer is A because its closest to the number 300
Step-by-step explanation:
i hope i helped if its wrong im sorry
Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.
Answer: I think if you run away you should get closes and a lot of food go somewhere were she won't find you
Step-by-step explanation:
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
True or False
A. The difference in height between the pelican and the heron is -33 feet.
Answer:
False
Step-by-step explanation:
This is because there both above sea level and 50-17=33 not -33
how to solve 6x+4+5X+2=12X-4 to solve for x
11x+6=12x-4
6-4=12x-11x
therefore x=2
simple
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=9°, and KL = 49 feet. Find the length of JK to the nearest tenth of a foot.
Answer:
in triangle KLJ
relationship between perpendicular and hypotenuse is given by sin angle
sin9°=p/h
sin9=KL/KJ
sin9=49/x
x=49/sin9=313.2
the length of JK to the nearest tenth of a foot is 313ft
Answer:
Step-by-step explanation:
313.2
18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y
Answer:
B,F, C
Step-by-step explanation:
I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
Please answer all of the 3.
PLEASE! And I’ll give you 5 stars and a Thanks?! :)
Answer:
7) 2((7x12) + (7x2) + (12x2)
2(84 + 14 + 24)
2(122)
244
8) 2((13x4) + (4x6) + (13x6))
2(52 + 24 + 78)
2(154)
308
9) 2((4x15) + (4x8) + (15x8))
2(60 + 32 + 120)
2(212)
424
Step-by-step explanation:
Please help TIA!!!!!!!!
Part A: Which of the following is the MOST reasonable equation for the line of best fit?
A : y = 3/4x + 8
B : y = -3/4x + 8
C : y = x + 8
D : y = 3/4x - 8
Answer:
A
Step-by-step explanation:
cannot be B because the slope is positive, not negative
cannot be D because the y-intercept is 8, not negative 8