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
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Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Eveline made a scale drawing of a patio she is planning to build
1 cm: 2.5 m
A: 12 cm
C: 13 cm
B: 5 cm
Which proportion could Eveline use to find the length of side A?
Answer:A 12 cm
Step-by-step explanation:
because 5 rounds 2 to 3 and 3 divdied by 12 is 4 sinbce it is equal.
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
Match these items.
1 .
friction
a force causing rotation
2 .
efficiency of lever
highly efficient 1st class lever
3 .
torque
output divided by input
4 .
streamlined shaped
reduces friction on airplane
5 .
equal-arm balance
loss of energy
Answer:
4 streamlined shapes reduces friction on airplane
A streamlined shape reduces friction on an airplane. The correct statement is 4.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
To determine the correct statement will be
1. Friction is a force causing rotation.
The statement is incorrect because the cause of rotation is force.
2. Efficiency of the lever is a highly efficient 1st class lever.
The statement is incorrect.
3. Torque is output divided by input.
The statement is incorrect because the output divided by input is known as productivity.
4. Streamlined shape reduces friction on an airplane.
The statement is correct.
5. Equal-arm balance loss of energy.
The statement is incorrect.
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A town total allocation for firefighters wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?
Answer:
Number of firefighters= 10
Step-by-step explanation:
Giving the following information:
Total budget= $600,000
Wage per firefighter= $40,000
Benefits per firefighter= $20,000
To calculate the number of firefighters that the town can employ, we need to use the following formula:
Number of firefighters= total budget / total cost per firefighter
Number of firefighters= 600,000 / (40,000 + 20,000)
Number of firefighters= 10
What is the total surface area??
Answer:
790 units^2
Step-by-step explanation:
Take the area of each side and add them all up. Remember each side is there twice.
Formula: SA = 2(15*5 + 15*16 + 5*16)
SA = 2(75 + 240 + 80)
SA = 2(395)
SA = 790
3. Which of these is the correct
circumference in terms of pi (n)?
d=25
I
a) 251
b) 5071
C) 12.51
d) 6251
how to write an answer in Brainly with decorative style like this
please tell me how to edit the answer and make it like how the photo is
please help!!!
Answer: Go to ur profile and choose the tab that says which questions u have asked then you can edit ur response (a little pencil icon will be on the top right corner of ur question)
Step-by-step explanation:
info above.
#6thgrademath help
A floor in Phillip’s house is rectangular and measures 12 feet (ft) by 14 feet. He wants to put a circular rug on the floor. Which is closest to the area of the largest circular rug he can use? Use 3.14 for pi.
A.113 ft2
B. 154 ft2
C.452 ft2
D.615 ft2
urgent !! someone help
a triangular prism has bases that are 3 inches tall and 8 inches wide the remaining two sides of each triangular base are 5 inches long, and the distance between the bases of the prism is 12 inches. What is the total surface area?
Answer:
there are 16 inches of bases
New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles south would a plane need to fly from new York City to reach the equator?
Answer:
The answer is "2793 miles"
Step-by-step explanation:
In this firstly we convert degrees to radians, which can be defined as follows:
[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]
[tex]=\frac{ 2\pi }{9}[/tex]
Now calculating the distance:
[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]
[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
Ian went to a music store to buy a guitar. The guitar which he picked out was $350. He found out that there was a sale that day and all guitars were 20% off. Since he had a rewards card at the music store,he was also able to receive 5% off the sale price. How much did Ian pay, without tax,for the guitar?
Answer:
$266
Step-by-step explanation:
The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.
Calculation of the amount:Since the cost of the guitar is $350
There is 20% off.
And, there is 5% off the sale price
So, it be like
= 350 (1 - 0.20) (1 - 0.05)
= $266
hence, The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.
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Estimate to the the place
Answer:
16.8
Step-by-step explanation:
-(4k^2-13k-12)+5k^2-8k How would I be able to write this in standard form with the greatest exponent being first.
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
1.6 Describe how vocation stress may negatively affect your family life. (2x2) (4)
unpredictable and easily loses his/her temper with family members. A disconnect starts setting in, pushing him/her further into depression. This leads to a lack of confidence and eventually with growing frequency of arguments.
Need help please! I added a picture for the question need help ASAP!
Answer:
36%
Step-by-step explanation:
Tried it with 100 as a base and got to 36. Should be right :)
Answer:
He had not sold 90%
Step-by-step explanation:
make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%
Help me on this please
Answer:
c
Step-by-step explanation:
Only one answer one choice
Answer:
I believe B
Step-by-step explanation:
sorry if wrong and if it is I'll give you back your points
what is 40% off of $400.00
Answer:
$240
To find 40% of $400:
40% (or .4) • $400 = $160
**$160 is 40% of 400**
To find 40% **OFF** of $400:
$400 - $160 = $240
Need help i will give anybody brainest!!!!!! due in 30 minutes
Answer:
2/3
Step-by-step explanation:
hope you help make me brainist
I NEED HELP ASAP PLEASE DON'T SPAM :(
Answer:
Answer is D hope this helps
Step-by-step explanation:
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS
Answer:
4/2
Step-by-step explanation:
Help me with this!!!!
one number is nine than another number. if the sum of the numbers is 65, find both numbers.
Answer:
28 and 37
Split 65 into 2 numbers
30 and 35
Then add and subtract till you get your answer
29 and 36
28 and 37
Find all values of a such that a x^2 + 3x + 5 = 0 has two real roots.
Answer:
a < 9/20
Step-by-step explanation:
Our equation is the following: ax^2 + 3x + 5
a = unknown
b = 3
c = 5
We are concerned with the discriminant. Namely, b^2 - 4ac must be greater than 0 if we want to real roots
Lets plug in the values:
9 - 4a(5) > 0
9 - 20a > 0
9 > 20a
9/20 > a
a < 9/20
In a quadratic equation given as,
ax² + bx + c = 0
Discriminant of the equation → (b² - 4ac)
For the roots of the equation,
Roots will be real if (b² - 4ac > 0)Roots will be complex if (b² - 4ac < 0)Only one root if b² - 4ac = 0Given quadratic equation in the question is,
ax² + 3x + 5 = 0
Coefficient of x² = a
Coefficient of x = b = 3
Constant term = c = 5
If the roots of this equation are real,
b² - 4ac > 0
(3)² - 4a(5) > 0
9 - 20a > 0
20a < 9
a < [tex]\frac{9}{20}[/tex]
Therefore, for all values of 'a' less than [tex]\frac{9}{20}[/tex], equation will have two real roots.
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What Is The Measure Of X?
Answer:
Its a:70 degrees..........
Answer:
60 degrees
Step-by-step explanation:
This is because on the other side there is 30 degrees, and since a right angle= 90 degrees, simply do 90-30=60
