Step-by-step explanation:
3x + 2y = 6
-3x -3x
2y = 6 - 3x
/2 /2 /2
y = 3 - 1.5x
Use the Distributive Property to Expand the Expression
1) 8 ( b + 5 )
Answer:
8b + 40
Step-by-step explanation:
8( b + 5 )
8×b + 8×5
8b+40
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
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pleaseee helpppp!!!!
Answer:
Substitute the given value into the function and evaluate.
2 x 3 + 7 x 2 − 4 x − 15
Step-by-Step Process
raised the points, please please help me out
Answer:
Where is the question?
If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?
Answer:
1.5
Step-by-step explanation:
A bicycle has a listed price of $811.98 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
811.98*7.5%= 60.898
811.98+60.898= 872.787 round to $872.79
Answer:
$872.88
Step-by-step explanation:
811.98 x 7.5%= 811.98 x 0.075
811.98 x 0.075= 60.90
811.98+60.90= 872.88
Jack bought a new boat for $36,000. The value of the boat continuously
depreciates at a rate of 15%. Find the value of the boat after 5 years.
a. $17,005
b. $7,621
c. $7,240
d. $4,140
Answer:
$15973.4
Step-by-step explanation:
The formula for depreciation is:
a(1 - r)^t
a = Initial value =$36,000
r = depreciation rate = 15% = 0.15
t = time in years = 5 years
The depreciation value = $36000 × (1 - 0.15)⁵
= 36000(0.85)⁵
= $15973.39125
Approximately = $15973.4
The value of the boat is $15,973 after 5 years.
Given that,
New boat cost is (A) $36,000.Depreciation rate is (r) 15%.We need to find the value of boat after (t) 5 years.According to the scenario, computation of the given data are as follows,
Value of boat = [tex]A (1 - r )^{t}[/tex]
By putting the value, we get
Value = [tex]36,000(1 - 0.15)^{5}[/tex]
= [tex]36,000(0.85)^{5}[/tex]
= 36,000 [tex]\times[/tex] 0.4437053125
= $15,973.4 or $15,973
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At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?
Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
i'll mark you has brainliest
Answer:
x-1=y
Step-by-step explanation:
Is this what you need?
Function f is defined by the equation f (x) = x^2.
What is f (3)
PLZ HURRY
Answer:
f(3) = 9
Step-by-step explanation:
f(x) = x^2
f(3) means "When x is 3" So, we substitute x with 3.
f(3) = 3^2
f(3) = 3 x 3 = 9
f(3) = 9
Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?
Answer 50 is the answer have a good day
Answer:
50 ribbons
Step-by-step explanation:
To find how many ribbons she can make, divide 32 by 0.64:
32/0.64
= 50
So, she can make 50 ribbons from her roll
Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2
What is the inequality for the graph [-7,3], [0,-4]
Answer:
[45]
Is the answer................
Please Rate 1-10, Then also add what your favorite one is.
Answer:
first one
Step-by-step explanation:
first one 10/10
2nd ome 9.6/10
I like the first one better
Answer:
2 one is my favorite
Step-by-step explanation:
1 , 9
2, 10
3, 8
4, 5
5, 1
Which expressions give the monthly pay of an employee with 33 hours of training
Answer:
A-33(PAY) OR 33(P)
B-33 x pay or 33 x p
C-hours(33)or H(33)
D-pay(33) or p(33)
its D is correct hope this helps
the question is on then sheet
Answer:
6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6
Step-by-step explanation:
PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!![tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]
[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]
[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]
[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]
The other person is wrong
I can say that for sure.
Tori is sending a birthday gift to her friend out of state and wants to know how much brown paper she will need to
cover the box.
8 in
10 in.
14 in
Which statement is true about the amount of paper Tori will need to cover the entire box?
O Covering the entire box is the surface area, which is 664 in.?.
O Covering the entire box is the surface area, which is 1,120 in.?
O Covering the entire box is the volume, which is 664 in.3.
O Covering the entire box is the volume, which is 1,120 in.?.
Answer:
A. Covering the entire box is the surface area, which is 664 in.
Step-by-step explanation:
I did the test myself. Have a great day/night! Good luck with the rest of your test! <3
Factor the GCF: −14y2 + 12y − 22
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.
1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)
Write the recurring decimal 0.63as a fraction
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
I need help ion fully know what to do
Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m
Answer:
D
Step-by-step explanation:
[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]
[tex]c = \sqrt{36 + 64} [/tex]
[tex]c = \sqrt{100 } [/tex]
[tex]c = 10[/tex]
Pythagorean theorem
You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .
Given:
The volume of the rectangular prism is
[tex]V=4x^3+5x^2-32x-33[/tex]
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
[tex]V=length\times breadth\times height[/tex]
It means, volume of a rectangular prism is the product of all dimensions.
We have,
[tex]V=4x^3+5x^2-32x-33[/tex]
Splitting the middle terms, we get
[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]
[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]
[tex]V=(x+1)(4x^2+x-33)[/tex]
Splitting the middle term, we get
[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]
[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]
[tex]V=(x+1)(x+3)(4x-11)[/tex]
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Answer:
the missing dimension is (4x-11).A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
what is the value of x
1. 124
2. 62
3. 112
4. 68
explain why the answer is correct
Answer:
3.112 because 56+56=112Answer:
The answer is 4. 68
Step-by-step explanation:
since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180
x=180-112
x=68
The information is in the picture PLEASE HELP ME
Answer:
The answer is C
Step-by-step explanation:
n^3+4n = 4n+5
n^3+4n + 4n+5
n^3+8n+5
What is the measure of \large \angle V?
Answer:
THe interior angles of any triangle equal 180
THerefore 48+87+v=180
48+87+v=180
87+v=132
v=45
Step-by-step explanation:
If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200
Answer:
300+200
Step-by-step explanation:
did not give a equation
Answer:
300 + 200x
Step-by-step explanation:
200 is the one that's changing so it has the x.