A rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden.
Answers
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
Rectangle's Perimeter is 128 ft."the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to [tex]L = 4 + W[/tex]Perimeter formula for Rectangle is [tex]P = 2(L+W)[/tex]First, we find the Width by plugging the given values in the formula:
[tex]128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30[/tex]
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
[tex]128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34[/tex]
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3
Related Questions
Solve 6x+7=k solve for x
Answers
Answer:
[tex]\Large \boxed{x= \frac{k-7}{6} }[/tex]
Step-by-step explanation:
[tex]6x+7=k[/tex]
Subtracting 7 from both sides.
[tex]6x=k-7[/tex]
Dividing both sides by 6.
[tex]\displaystyle x= \frac{k-7}{6}[/tex]
Just subtract x from both sides and divide by 6, hope this helps
the volume of a eraser is 9.6cm³. if its height is 0.8cm find the area of its base
Answers
Answer:
the area of its base=12 cm²
Step-by-step explanation:
volume=base*height
9.6=b*0.8
base=9.6/0.8=12 cm²
Sheila Little has a gross monthly income of $3500. She has 15 remaining payments of $147 on a used car. The taxes and insurance on the house are $85 per month. What maximum monthly payment does the bank's loan officer feel that Sheila can afford?
Answers
Answer:
the maximum monthly payment is $958
Step-by-step explanation:
The computation of the maximum monthly payment for affording is shown below;
Let us assume that there is a 34% of the gross monthly income
So, it would be calculated below:
= Given percentage × gross monthly income - payments made - taxes & insurance per month
= 0.34 × $3,500 - $147 -$85
= $958
hence, the maximum monthly payment is $958
What is the value of -2x+3yz if x=3, y=6, and z=
Answers
Answer:
Step-by-step explanation= 33
A coach wants to buy a soccer jersey for $25.99 and socks for &6.49 the prices include tax if he gives the cashier two $20 bills how much change should the coach expect?
Answers
Answer:
I think it might be $7.52
Use the figure to the right to find the value of PT. T is the midpoint of PO.
PT = 4x + 7 and TQ = 8x - 5
PT=
(Simplify your answer.)
Answers
Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.
If B is the midpoint of line segment AC, AB=20, and BC=4x-4, find x.
Answers
Answer:
x = 6
Step-by-step explanation:
B is the midpoint of AC. So, the length of AB equals length of BC
BC = AB
4x - 4 = 20 {add 4 to both sides}
4x -4 + 4 = 20 + 4
4x = 24 { divide both sides by 4}
4x /4 = 24/4
x = 6
Which number line best shows how to solve −10 − (−8)?
Answers
Answer:
A number line
Step-by-step explanation:
What shape is produced when slicing a right rectangular prism perpendicular to
the base?
Answers
Answer:
rectangle
Step-by-step explanation:
If the slice is perpendicular to the base, it can intersect at most two lateral faces and the parallel base. Hence the shape produced will be a rectangle.
Stella rewrites −212+3.7 as 3.7−212. Which property did she use? A. Additive Identity Property B. Additive Inverse Property C. Commutative Property D. Distributive Property
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that Stella rewrites −212+3.7 as 3.7−212.
We need to find which property did she use.
According to commutative property of addition,
[tex]A+B=B+A[/tex]
Where, A and B are any real values.
In the given expression −212+3.7, A=-212 and B=3.7.
Using commutative property of addition, we get
[tex](-212)+3.7=3.7+(-212)[/tex]
[tex](-212)+3.7=3.7-212[/tex]
So, she used commutative property.
Therefore, the correct option is C.
Please help with this!
Answers
Answer: see attachment
Step-by-step explanation:
A line has a slope of 9 and passes through the point (1,5). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y= 9x -4
Step-by-step explanation:
Please see attached picture for full solution.
The integers here are 9 and -4.
There isnt a need to use fractions in this case and hence I did not write the integers into a fraction (e.g. -4 into [tex] \frac{ - 4}{1} [/tex]) since the question requires them to be in the simplest form.
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30) ∘ and m\angle B=(2x-9)^{\circ}∠B=(2x−9) ∘ , then find the value of x.
Answers
Answer:
x = 21
Step-by-step explanation:
Vertical angles are congruent, this
3x - 30 = 2x - 9 ( subtract 2x from both sides )
x - 30 = - 9 ( add 30 to both sides )
x = 21
please help:
The Atlantic Ocean covers about 3.2 x 10' square miles. The
Pacific Ocean covers about 6.4 X 10' square miles.
About how much area does the Atlantic Ocean and Pacific
Ocean cover?
OA) 3.2 x 10' square miles
OB) 9.6 X 10' square miles
OC) 3.2 x 1024 square miles
OD) 9.6 x 100 square miles
Answers
Answer: the answer is B
Step-by-step explanation:
3.2•10= 32
6.4•10=64
32+64= 96
9.6•10=96
Hope this helps
A bird flies from the bottom of a canyon that is 51 3/10 feet below sea level to a nest that is 737 1/10 feet above sea level.
Answers
Answer:
The bird would have to fly up 685.8 feet up.
Step-by-step explanation
If we are talking about how much the bird wants to fly up to the nest, then it would be 685.8 ft up.
first,
you take the fractions which are (-51 3/10) and (737 1/10)
Then we make them decimals to be easier (on my pov) Then we have
-51.3 and +737.1
Next we add 737.1+(-51.3)
which equals 685.8 feet.
1.25x12 divided by 0.6
Answers
(1.25 x 12)/ 0.6=
25
Hope this helps :)
28,000 times what is 1,251,000,000
Answers
Answer:
The number is 312750/7
Step-by-step explanation:
(312750/7)*28000=1251000000
Answer:16
Step-by-step explanation:
Glue
According to Teo's bread recipe, he should bake the bread at 190°C for 30 minutes. His oven measures temperature in °F. To what temperature in °F should he set his oven?
Answers
Answer:
374 °F
Step-by-step explanation:
Data obtained from the question include the following:
Temperature (°C) = 190 °C
Temperature (°F) =?
Recall:
The conversion scale of temperature from °F to °C is given by the following equation:
C = 5/9(F – 32)
Next, we shall make F the subject of the formula. This can be obtained as follow:
C = 5/9(F – 32)
Cross multiply
5(F – 32) = 9C
Divide both side by 5
F – 32 = 9C/5
Rearrange
F = 9C/5 + 32
With the above formula, we can convert 190 °C to °F as follow:
Temperature (°C) = 190 °C
Temperature (°F) =?
F = 9C/5 + 32
F = 9 × 190/5 + 32
F = 1710/5 + 32
F = 342 + 32
F = 374 °F
Therefore, Teo will set the oven to 374 °F
A manufacturer of widgets finds that the production cost, What is the selling price per widget as a function of the
C, in dollars per unit is a function of the number of number of widgets produced, and what should the
widgets produced. The selling price, S, of each widget in selling price be if 15 widgets are produced?
dollars is a function of the production cost per unit
C(x) = -0.1x2 + 100
O C(S(x)) = -0.196x2 + 100, $108.64
S(C) = 1.40
O C(S(x) = -0.196x2 + 100; $55.90
O S(C(x)) = -0.14x2 + 140; $144.41
O S(C(x)) = -0.14x2 + 140, $108.50
Answers
Answer:
S(C(x)) = –0.14x2 + 140; $108.50
Step-by-step explanation:
did the assignment
Answer:
DS(C(x)) = -0.14x2 + 140, $108.50
If m = 8, how many solutions are there to the expression 7m?
Answers
Answer:
7m and m = 8
7(8) = 56 one solution and that solution is 56
Step-by-step explanation:
Answer:
Hey there!
There is only one solution.
7(8)=56. It cannot be anything else.
Let me know if this helps :)
what is an numerator
Answers
Answer:
A numerator is the top part of a fraction.
Step-by-step explanation:
__2__
3
In the above fraction 2 is the numerator and 3 is the denominator.
how far will you travel in 4 seconds flying at a rate of 132 m/s?
Answers
Answer:
528 m
Step-by-step explanation:
Speed = Distance / Time
= Distance = Speed × Time
= 4 × 132
= 528 m
Answer:132×4=528
Step-by-step explanation:
For every second add another 132, as it's units are metres per second
someone help me please
Answers
Answer:
[tex]\dfrac{-20d^3t^2}{v^5}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
[tex](4d^2t^5v^{-4})(-5dt^{-3}v^{-1})=(4)(-5)d^{(2+1)}t^{(5-3)}v^{(-4-1)}\\\\=\boxed{-20d^3t^2v^{-5}=\dfrac{-20d^3t^2}{v^5}}[/tex]
Solve: V=nr^2h ; for r.
Answers
Answer:
[tex]r=\sqrt{\frac{V}{nh} }[/tex]
Step-by-step explanation:
[tex]V=nr^{2}h\\\frac{V}{nh}=\frac{nr^{2}h }{nh}\\\frac{V}{nh}=r^{2}\\\sqrt{\frac{V}{nh} }=\sqrt{r^{2} }\\r=\sqrt{\frac{V}{nh} }[/tex]
7 Car A uses petrol at the rate of 4.8L/100 km, whereas car B uses it at a rate of
10L/100 km. What will the difference in petrol costs be in a year in which both
cars travel 30000 km, if the petrol costs on average $1.45/L?
Answers
Step-by-step explanation:
30,000 km × (4.8 L / 100 km) × ($1.45 / L) = $2088
30,000 km × (10 L / 100 km) × ($1.45 / L) = $4350
The difference is $4350 − $2088 = $2262.
Which best explains why the two ratios below are in a proportional relationship?
2 to 3
8:12
A
because 2 times 4 is 8 and 3 times 4 is 12
B
because 8 minus 2 is 6 and 6 times 2 is 12
С
because 2 times 2 is 4 and 8 plus 4 is 12
D
because 8 minus 2 is 6 and 12 minus 3 is 9
Answers
I just need b please
please also explain, this is one of the last problems i need to do for this!
Answers
Answer:
[tex](\frac{3}{2} , -\frac{5}{4})[/tex]
Answer: They intersect at [tex](\frac{3}{2},-\frac{5}{4} )[/tex]
Step-by-step explanation:
x-2y = 4
7x + 2y = 8
We will solve the equations using the substitution method so we will solve for y in one of the equations and and substitute it into the other equation to solve for x.
x - 2y = 4
-x -x
-2y = 4 - 1x Divide both sides by -2
y = 1/2 x - 2 Now use substitution
7x + 2( 1/2x -2) = 8
7x + 1x - 4 = 8
8x -4 = 8
+4 +4
8x = 12
x = 12/8 and simplifies to 3/2
the value of x is 3/2 so plot it into one of the equations and solve for y.
7(3/2) + 2y = 8
21/2 + 2y = 8
-21/2 -21/2
2y = -5/2
y = -5/4
In Australia the speed limit is generally 80-110 km/h depending on the conditions of theroad. If someone in Australia is driving at a speed of 90 km/h, what would their speed be in miles per
hour? Show your work. Round to the nearest thousandth.
Answers
Answer:
55.923 MPH
Step-by-step explanation:
Divide by 1.609
The length of an alligator on a zoo is 14 5/8 feet the everglades national park lists the longest alligator in Florida at 17 5/12 feet what is the differences in their lengths
Answers
Answer:
2 19/24 feet
Step-by-step explanation:
14 5/8 = 14 15/24
17 5/12 = 17 10/24 ==> 16 34/24
16 - 14 = 2
34/24 - 15/24 = 19/24
Answer = 2 19/24 feet
Hope this helps!
-The Business Man
Solve for w. |w-3|+8=24 one of the answers i know is 19 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". PLZ HELP
Answers
Answer:
w = 19 or w = -13
Step-by-step explanation:
Solve for w over the real numbers:
abs(w - 3) + 8 = 24
Hint: | Isolate terms with w to the left hand side.
Subtract 8 from both sides:
abs(w - 3) = 16
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
w - 3 = 16 or w - 3 = -16
Hint: | Look at the first equation: Solve for w.
Add 3 to both sides:
w = 19 or w - 3 = -16
Hint: | Look at the second equation: Solve for w.
Add 3 to both sides:
Answer: w = 19 or w = -13