Answer:
Step-by-step explanation:
708.89 / 5
= 141.788 pounds.
You are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?
Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:
(a) 360 feet
(b) 240 feet
(c) $1000.0
Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:
(a) Side AB = CA = (7 - 1) x 10 feet
= 6 x 10 feet
= 60 feet
Side AD = BC = 13 - 1
= 12 x 10 feet
= 120 feet
The perimeter of the entire yard = 60 + 120 + 60 + 120
= 360
Perimeter of the entire yard = 360 feet
(b) Side AB = EF = 60 feet
Side FA = BE = (7 -1) x 10 feet
= 60 feet
So that,
The perimeter of the backyard = 60 feet x 4
= 240
Perimeter of the backyard = 240 feet
(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50
= $3000.0
The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50
= $2000.0
The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0
= $1000.0
Thus, the amount saved by only installing a fence in the back yard is $1000.0
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can anyone solve this problem?
Answer:
[tex] \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \sqrt{1568} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \times 28 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 56 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 79.2} } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{160.2} } } \\ = \sqrt{2 + \sqrt{2 + 4 \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{2} \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{20} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + 2 \sqrt{5} } } \\ = \sqrt{2 + \sqrt{2} \times \sqrt{5.5} } \\ = \sqrt{2 + \sqrt{11} } \\ = \sqrt{2 + 3.3} \\ = \sqrt{5.3} = 2.3[/tex]
[tex]thank \: you[/tex]
Answer:
1 + √2Step-by-step explanation:
Start with the inner root:
81 + 2√1568 = 49 + 2*28√2 + 32 = 7² + 2*7*4√2 + (4√2)² = (7 + 4√2)²Move to next one:
2 + 7 + 4√2 = 1 + 2*2√2 + 8 = 1² + 2*2√2 + (2√2)² = (1 + 2√2)²The last one:
2 + 1 + 2√2 = 1 + 2√2 + 2 = 1² + 2*1*√2 + (√2)² = (1 + √2)²The root of the last one is:
1 + √2Write the equation of the line in fully simplified slope-intercept form.
The following table shows a proportional relationship between a and b.
a b
8 3
24 9
40 15
Write an equation to describe the relationship between a and b.
Roko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality?
Answer:
1 ticket = $0.50
Step-by-step explanation:
hope this helps and have a great day
pew pew.
Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
Answer:
[tex]a_{n}[/tex] = 5n - 2
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 , then
a₁ + 3d = 18 , that is
3 + 3d = 18 ( subtract 3 from both sides )
3d = 15 (divide both sides by 3 )
d = 5
Then
[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule
The mass of an object is measured to be 5.55g. The actual weight of the object is 6.00g. What is the percent error?
Answer:
. The actual mass of the object was 9.98 X 10-3 g.
Step-by-step explanation:
yeah
7. Olivia purchases gifts for her mom and
grandma for Mother's Day. The first is a pair of
sunglasses for $16.35 and the second is a
bracelet. Her total is $39.75. How much did she
spend on the bracelet?
8. Alan
costo
owes
the me
Variable:
Equation:
Solution:
Samuel
Answer:
7: $26.40
Step-by-step explanation:
I'm only going to give you the direct answer, and number 8 isnt clear.
definition of a quadratic function
Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
Step-by-step explanation:
Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero
Step-by-step explanation:
1). 3x-8 for x=5
2). 5(x+7)-1 for x = -3
calculate the size of unknown angles
Hi! I'm happy to help!
We know that 2y=150, so we can divide both sides by 2 to find the angle of y
2y=150°
÷2 ÷2
y=75°
So, y=75°.
I hope this was helpful, keep learning! :D
Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.
What is the slope of the equation Y= 5/4x - 7/4?
A. -7
B. -7/4
C. 5/4
D. 5
Answer:
D. Slope is 5/4
Step-by-step explanation:
By relation with the general equation of a line:
[tex]{ \boxed{y = mx + c}}[/tex]
m » slope
equation given:
[tex]y = \frac{5}{4} x - \frac{7}{4} [/tex]
therefore, slope is 5/4
Answer:
(c) option is correct
Step-by-step explanation:
answer is 5/4
I don't understand how to do this. If someone can help me understand how to do this I would be very grateful.
Step-by-step explanation: ok do 10 - y2 then it will be 8 so whats left is y divide 8 by 2 and thats the answer for 2y. Reapet this patern for 3z and all the other questions
hope this helps
Can someone help me with (Geometry)
Step-by-step explanation:
I think the fig.. will helps you a lot...
Help me please i don’t have my notes and I forget how to do this
Answer:
AC = AB + BC
18 = (2X - 4) + (3X + 2)
18 = 5X - 2 ( add/subtract like terms)
20 = 5X (-2 take over otherside - 18 + 2)
X = 4
SUB X INTO AB AND BC
AB = 2(4) - 4 = 4
BC = 3(4) + 2 = 14
find the number by which 5400 must be multiplied so that the product is a perfect cube.
Also find the cube root of the number obtained.
( Show workings )
Answer:
Step-by-step explanation:
The easiest way (or the most reliable way) is to factor the given number into primes
5400 = 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5
I cheated a little bit. 54 = 2 * 27 which is 2 * 3 * 3 * 3
100 = 2 * 2 * 5 *5
Combine the two parts and you get the factors I gave you.
Now you have to have the numbers go into groups of three. The only adjustment needed is 5 * 5 and one more 5
So the perfect cube is 5400 * 5 = 27000
Does that work? It should
27000^(1/3) = 3 * 10 = 30
So the cube root of 27000 is 30.
Frito lay mix variety in pack 28 bags for 9.88 cost per bag
Answer:
Each bag costs 0.35 cents
Step-by-step explanation:
divide 9.88 by 28 and that gives you the total for each bag of chips
What is 8y squared+7y+4-3(2y squared-5y-8)?
Answer: 2 • (y2 + 11y + 14)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((8•(y2))+7y)+4)-(3•((2y2-5y)-8))
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2y2-5y-8
The first term is, 2y2 its coefficient is 2 .
The middle term is, -5y its coefficient is -5 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 2 • -8 = -16
Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is -5 .
-16 + 1 = -15
-8 + 2 = -6
-4 + 4 = 0
-2 + 8 = 6
-1 + 16 = 15
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
2
:
(((8•(y2))+7y)+4)-3•(2y2-5y-8)
STEP
3
:
Equation at the end of step
3
:
((23y2 + 7y) + 4) - 3 • (2y2 - 5y - 8)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
2y2 + 22y + 28 = 2 • (y2 + 11y + 14)
Trying to factor by splitting the middle term
5.2 Factoring y2 + 11y + 14
The first term is, y2 its coefficient is 1 .
The middle term is, +11y its coefficient is 11 .
The last term, "the constant", is +14
Step-1 : Multiply the coefficient of the first term by the constant 1 • 14 = 14
Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is 11 .
-14 + -1 = -15
-7 + -2 = -9
-2 + -7 = -9
-1 + -14 = -15
1 + 14 = 15
2 + 7 = 9
7 + 2 = 9
14 + 1 = 15
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
(-9) 4 as a exponent
Answer:
[tex]9^4[/tex] = [tex]6561[/tex]
evaluate the expression when a=5.
a² - 17
Answer:
8
Step-by-step explanation:
[tex]5^{2}[/tex]−17
=25−17
=8
y-3z for pre algebra
Answer:
please I don't understand the questions
Answer:
I cannot be simplified nor solved
Step-by-step explanation:
Yeet
jose runs 6 miles per hour. Which expression can be written to represent the number of miles Jose runs in y minutes?
Answer:
10 minutes per mile
Step-by-step explanation:
theres no answer soooo i dont think this one is right
The diagonals of a rhombus are 30cm and 16cm. Find its area, the length of a side and its perimeter.
Answer:
Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²
also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm
therefore by pythagoras theorem,
[tex] {15 }^{2} [/tex]+ [tex]{8}^{2} [/tex]= [tex] {side}^{2} [/tex][tex] \sqrt{289 = side} [/tex]
side = 17
Perimeter = 4×17 =68 cm.
Answer:
Step-by-step explanation:
[tex]\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;[/tex]
1. A cube measures 4cm on each side and has a mass of 12 grams. What is the
density of the cube?
Explanation:
First we need to find the volume of the cube
volume = length*width*height = 4*4*4 = 64 cubic cm
Then we'll divide the mass over this volume to get the density
density = mass/volume
density = (12 grams)/(64 cm^3)
density = (12/64) grams per cm^3
density = 0.1875 grams per cm^3
The notation cm^3 is another way of saying "cubic centimeter" as shorthand.
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
18)
Christopher's cell phone company
charges a monthly'rate of $56 plus
$0.95 per gigabyte of data used,
and $0.08 per text message sent.
Christopher sent 55 text messages
messages in April and received a bill
for $68.00. How much data did he
use?
Answer:
8 GB
Step-by-step explanation:
Cost = sum of fees 1, 2, and 3
C = 56 + .95g + .08t
so
68 = 56 + .95g + .08(55)
68 = 56 + .95g + .08(55)
68 = 56 + .95g + 4.4
68 - 56 - 4.4 = .95g
7.6 = .95 g
7.6/.95 = g
8 = g
Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn he lost 75 points. On his third turn, he lost 85 points. Write a sum of three negative integers that models the change to Julio's score after his first three turns.
Answer:
Step-by-step explanation:
The change in his total score is the sum of the losses -100 + (- 75 ) +(- 85 ) = - (100 + 75 + 85 ) = - 260
In which of the following expressions is the coefficient of term "x" 1?
2x^2+x−9
3x^2−x−5
2x^2−3x+1
x^2+2x+7
Answer:
the answer of the following question is d
Para elaborar 1 kg de masa para pastel se emplean 2 de kilogramo de harina, ¿cuántos kilogramos 5
de harina se usan para hacer 3 1 kilogramos de masa para pastel? 2
A) 8 3/4
B) 3 9/10
C) 1 2/5
D) 1 2/
El kilogramo de harina necesario para hacer 3 1/2 kg de mantequilla para pasteles es 1 2/5 kg
1 kg de mantequilla de bizcocho = 2/5 kg de harina
Deje que la cantidad de kg de harina necesaria para hacer 3 1/2 kg de mantequilla de torta = b
Expresando Matemáticamente:
1 kg = 2/5
1 kg = 2/53 1/2 kg = b
1 = 2/5
3 1/2 = b
Multiplicar en cruz:
b = 3,5 × 0,4
b = 1,4
Por lo tanto, el kilogramo de harina requerido para hacer 3 1/2 kg de mantequilla para pasteles es 1 2/5 kg
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