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?
Answers
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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What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
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Answer:
The mean is the average of a set of data.
Example:
To find the mean, add up all of the numbers in the set and divide by the number of values that you added.
35 + 36 + 37 + 38 + 40 + 40 + 41 + 42 + 43 + 55 + 55 + 55 + 56 + 57 + 58 + 59 = 747
Then, divide by the number of values, which is 16.
747/16=46.68
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Sorry for who ever uploaded the disturbing photos :(
Hope this help and have a nice day!
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what is the distance between (-6-4) and (-5,-4)
Answers
Step-by-step explanation:
take as if this points are on a line segment AB
Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2
= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2
= square root of (-1)^2 + (0)^2
= square root of 1 + 0
= square root of 1
= 1 units
The distance from AB is 1 unit
A math class has 24 scholars. Each scholar earns 2 HERO points for coming to class and turning in homework on time. The function H(s) = 2s describes the total number of HERO points awarded where s represents the number of scholars. Michael says 31 is a possible output for this scenario. Do you agree or disagree? EXPLAIN for full points.
Answers
H=2s
31=2s
S=31/2=15.5 scholars
Answer:no
Step-by-step explanation:
There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?
Answers
Answer:
1/ 2
Step-by-step explanation:
Given that:
Number of marbles, = 10
Number of Red marbles = 5
Number of Blue marbles = 5
Probability, p = required outcome / Total possible
Probability of picking a red marble :
Required outcome = number of red marbles = 5
Total possible outcomes = total number of marbles = 10
Hence,
Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2
what does the variable x represent?
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I lied the first time. This is the last problem lol.
Answers
Answer:
y=10
Step-by-step explanation:
A line is 180°
6x10=60
120+60=180
Hope this helps :)
What is the equation of the line that passes through the point (-3, 1) and has a
a slope of - 2?
Answers
Plug in the point
1 = -2(-3) + b
1 = 6 + b, b = -5
Solution: y = -2x - 5
A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?
Answers
Answer:
25.5 mi
Step-by-step explanation:
12 22.5 X
Let X be the shortest distance we are trying to find.
a units 2 b units 2 c units 2
12 units 2 + (22.5)=c units 2
144+506.25=c units 2
650.25=c units 2
[tex]\sqrt{x} 650.25[/tex]=c units 2
25.5
Saraid is dividing 14 pound of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each plastic bag?
Answers
Answer:
Each bag gets 2 4/5 pounds of cashews
Step-by-step explanation:
14 ÷ 5 = 2.8
2.8 ( 2 4/5)
A new laptop costs $1100 and has a new book value of $375 after 2 years. Find the linear model V(t)=Mx+b
Answers
Answer:
- 362.5t + 1100
Step-by-step explanation:
Given :
Value, = v ; time, = t
t1, v1 = (0, 1100)
t2, v2 = (2, 375)
Slope, m = v2 - v1 / t2 - t1
m = (375 - 1100) / (2 - 0)
m = - 725 / 2
m = - 362.5
v - v1 = m(t - t1)
v - 1100 = - 362.5(t - 0)
v - 1100 = - 362.5t
v = - 362.5t + 1100
Which linear equation contains the points
shown in the table?
A y= 5x + 4
B. y= 4x+5
c y= 5x-4
D. y= 4x-5
Table
x y
1 -1
2 3
3 7
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Because I worked it out
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree
Answers
Answer:
11.2
Step-by-step explanation:
The answer is 11.2 degree
Pls help me I need this done . Look at picture . What is the measure of..
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The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
a=4
3 + a + 7 - 5 + 10 + a -a=
Answers
Answer:
3+4+7-5+10+4-4=19
Step-by-step explanation:
3+a=3+4+7-5+10+a=10+4-a=10+4-4=19
Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.
Answers
Answer:
$4242
Step-by-step explanation:
Given data
Principal= $14000
TIme = 4 years
Rate= 6.85%
Let us find the final amount A
A=P(1+r)^t
substitute
A=14000(1+0.0685)^4
A=14000(1.0685)^4
A=14000*1.303
A=$18242
Hence the interest is
Interest= Final amount-Principal
=18242-14000
=$4242
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of 15
Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
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Answer:
He would be making 544.8$ each week
Step-by-step explanation:
Rewrite as a product of two factors: 3 + 18d + 21y
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Answer:
[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringlet's solve:in the following expression
everytime 3 is common
(3×1)+(3×6d)+(3×7d)
therefore if you take 3 from every expression we get
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Answer: center is (9, -4)
Step-by-step explanation:
Nigel has 66 pens kat has 1/3 of the number of pens Nigel have calculate the number of pens that have altogether
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Then you would add 66+22=88
They have 88 pens altogether
Hope this helps :)
Carla can fill 5 glasses with soda every 20 seconds. Complete the table using equivalent ratios.
Answers
Answer:
Glasses 12 : 48 because, when you do 20/5 it equals to 4 so, the ratio will equal to seconds = Glasses • 4
44 seconds = 11 glasses
Step-by-step explanation:
Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales
Answers
Responder:
Los cuadros 89 y 91 presentan proporcionalidad directa
El cuadro 90 muestra una correlación directa.
Explicación paso a paso:
De la imagen adjunta:
Cuadro 89:
Para mostrar proporcionalidad directa:
y α x
y = kx; k = constante de proporcionalidad
Comprobando las tablas:
Cuadro 89:
A = 1,5; B = 3
B = kA; 3 = 1.5k
k = B / A
k = 3 / 1,5 = 2
Usando k = 2;
demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.
B = 2 * 2 = 4
Por tanto, el cuadro 89 exhibe proporcionalidad directa
Comprobando las tablas:
Cuadro 90:
C = 2; D = 8
D = kC; 8 = 2k
k = 8/2 = 4
Usando k = 4;
demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.
B
D = 4 * 3 = 12
De la tabla, D = 9;
Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.
Comprobando las tablas:
Cuadro 91:
E = 1; F = 1/2
F = kE; 1/2 = k
k = 1/2
Usando k = 1/2;
demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.
F = 1/2 * 3 = 3/2
Por tanto, el cuadro 91 presenta proporcionalidad directa.
Lily has $18. Matt has twice as much of a third of the amount that Lily has, and
Carolyn has $23 more than Matt has. How much money does Carolyn have?
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Answer:
$35
Step-by-step explanation:
Answer:
he has $35 left
Step-by-step explanation:
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL OF THEM!!!!!!!! but you dont have to do all of them but if you dont then i wont give brainliest
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Answer:
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Answer:
10
Step-by-step explanation:
2×5=10.
10÷2=5
That should be the answer.
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[tex]79 \times 85[/tex]
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Answer:
6715
Step-by-step explanation:
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Choose all the expressions that are equivalent to 587 = 1,000.
B. 587 x 0.01
A. 5.87 : 100
D. 58.7 x 0.01
C. 5.87 x 0.1
E. 587 x 0.001
Answers
Answer:CED
Step-by-step explanation:
Answer:
C, E, and D
Step-by-step explanation:
Five times a number is 28 greater than the product of the number and -2. Find the number
Answers
Answer:
4
Step-by-step explanation:
Let the unknown number be x
Five times the number is expressed as 5x
28 greater than the product of the number and -2 is expressed as;
28 + (-2x)
Equating both expressions
5x = 28 + (-2x)
5x = 28 - 2x
5x+2x = 28
7x = 28
x = 28/7
x = 4
Hence the number is 4
Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?
Answers
Answer:
The area is "[tex]\bold{\frac{1}{6}}[/tex]".
Step-by-step explanation:
In this question, to understand the problem we use the model, that Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.
Calculating the area of the one-piece:
[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]