What is 5x+y=9 in slope-intercept form?
Answer:
y = -5x + 9
Step-by-step explanation:
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Here is a chart on the slope intercept.
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Difference between an integer and a real number
Answer:
Real number is any number. This includes integers, rational, and irrational numbers.
While integers are just positive or negative whole numbers that also includes 0.
Hope this helps!
Select all the statements that correctly describe the solutions to this system of equations?
2x-y= 0
x+y=9
x + y = 9
x = 9 - y
2x - y = 0
2(9 - y) - y = 0
18 - 2y - y = 0
-3y = -18
y = 6
x = 9 - y
x = 9 - 6
x = 3
The value of x and y are 3 and 3 respectively in the given system of equations.
A system of equations is a set of two or further equations that own an identical set of unknowns. The thing of solving a system of equations is to determine the values for the unknowns that quench all of the equations in the system.
It is given that the system of equations is,
2x - y = 0
x + y = 9
Now, from the first equation, we get
y = 2x
On putting the above value of y in the second equation, we get
x + 2x = 9,
3x = 9,
x = [tex]\frac{9}{3}[/tex]
x = 3.
Now putting this value of x in the first equation, we get
2 [tex]\times[/tex] 3 + y = 9
6 + y = 9
y = 9 - 6
y = 3.
So, x = 3 and y = 3 in the above system of equations.
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(4k^2*2k*k^3)^3 simplify
Answer:
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what is the distance between ( 1,0) and ( 9,15)
Answer:
(8,15)
Step-by-step explanation:
on a map, 1 inch equals 5 miles. Two cities are 5 inches apart on the map. What is the actual distance between the cites?
Answer:
25 in
Step-by-step explanation:
Answer:
25 miles
Step-by-step explanation:
If 1 inch equals 5 miles, which I wrote like 1in/5mi = 5in/x.
To find our answer we just multiply 5 miles by 5 inches to get 25 miles.
WILL GIVE BRAINLIEST The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:
f(x) = 2x + 12
What does f(14) represent?
The number of dollars it costs to rent the bowling lane for 14 hours
The number of games you can bowl for a cost of $14
The number of games you can bowl in 14 hours
The number of hours the bowling lane can be rented for a cost of $14
Answer:
A
Step-by-step explanation:
it is the cost in dollars to rent the bowling lane for 14 hrs.
The function f(14) represents that the number of dollars it costs to rent the bowling lane for 14 hours and this can be determined by using the given data.
Given :
The total cost f(x), in dollars, for renting a bowling lane for x hours is shown: f(x) = 2x + 12.
The following steps can be used in order to determine the correct statement:
Step 1 - The arithmetic operations can be used in order to determine the value of f(14).
Step 2 - Write the given function.
f(x) = 2x + 12
Step 3 - Substitute the value of 'x' in the above function.
f(14) = 2(14) + 12
f(14) = 40
Therefore, the correct option is A) The number of dollars it costs to rent the bowling lane for 14 hours.
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Lee got 77,67,99,79,100,65,79,89,58 and 67 on his English tests
What is the mean of Lee’s English tests
Answer:78
Step-by-step explanation:
77+67+99+79+100+65+79+89+58+67 = 780
Divide this number by the toal number of factor,which here is 10:
780/10 = 78
Giselle is building a small baseball infield for her brother. The infield should be in the shape of a square. Each side of the infield,
between bases, measures 30 feet. The distance between home plate and second base, as shown in the picture, is 45 feet.
Which best describes the shape of the baseball field?
Answer:
Step-by-step explanation:
B
for a square diagonal is found by using pythagoras theorem.
(30)²+30²=900+900=1800≠45²
The best describes the shape of the baseball field would be; B Not square (30)² + 30² ≠45².
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Giselle is building a small baseball infield for her brother.
The infield should be in the shape of a square.
Each side of the infield, between bases, measures 30 feet.
The distance between home plate and second base, as shown in the picture, is 45 feet.
A square diagonal can be calculated by using the Pythagoras theorem.
|AC|^2 = |AB|^2 + |BC|^2
= (30)² + 30²
= 900 + 900
= 1800
≠45²
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(100 POINTS) Can anyone solve this math equation for me? Thank you!
Answer:
Step-by-step explanation:
Given that,
x^8/x^a=x²
Applying indices
Division rule a^m ÷ a^n = a^(m-n)
Then,
x^8/x^a=x²
x^(8-a)=x²
For this to be equal means that, the power are equals since they have the same base
Then, 8-a=2
8+2=a
So, a=10
Taking the second equation
(x^6)^b=x¹²
Using indices again
x^(6b)=x¹²
Also, for this to be equal
6b=12
Then, b=12/6
b=2
Then, b=2 and =10
We need to find b-a.
b-a=2-10=-8
Then, the answer to b-a is -8
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Karen buys a water heater during the sale.
If Karen pays $350 , what was the original price?
Answer:
350 *100 /50 = 700
Step-by-step explanation:
Basically 350 is 50 percent of the total. What u need to do is find the 100 percent. Just use this formula
Discounted price *100 / (what was the discount percentage when it was bought)
Answer:
original price is $525
Step-by-step explanation:
What is 111%of 800 rounded to the nearest hundred
Answer:
[tex]900[/tex]
Step-by-step explanation:
Step 1: Make an expression
What is 111% of 800
[tex]800 * (1 + 0.11) = x[/tex]
[tex]800 * (1.11) = x[/tex]
Step 2: Multiply
[tex]800 * (1.11) = x[/tex]
[tex]888 = x[/tex]
Step 3: Round to the nearest hundred
888
Since the tens place is greater than 5, we round up.
[tex]900[/tex]
Answer: [tex]900[/tex]
-(v + 7) -3 = -26 + v
Answer:
v = 8
Step-by-step explanation:
-v -7-3 = -26+v
2v = -10+26
2v = 16
v = 8
A community garden center hosts a plant giveaway every spring to help community members start their gardens. Last year, the giveaway
supported 50 families by giving away 150 plants. Based on this ratio, how
many plants will the center give away this year in order to support 65 families?
Answer:
195?
Step-by-step explanation:
A cone has a radius of 7 in and a volume of 512.87 in3.what is the height?
Height of the cone is 9.99 in
Step-by-step explanation:
Step 1: Volume of a cone = 1/3 πr²h. Given volume of the cone = 512.87 in³ and r = 7 in. Find height, h.512.87 = 1/3 × 22/7 × 7² × h
512.87 × 3 = 22 × 7 × h
1538.61 = 154h
∴ h = 1538.61/154 = 9.99 in
5. Stan has a good driver discount on his automobile insurance policy. He pays 86% of the regular
premium rate of $279. The actual premium Stan pays is
O a. $86.00
O b. $193.00
O c. $239.94
O d. $279.00
OOOO
(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)
The coordinates of the vertices of quadrilateral ABCD are (7, -7), (4, -10), (1.5, -2.5), and (6, -3), respectively.
If quadrilateral ABCD is rotated 180° counterclockwise about the origin, what are the coordinates of D’?
A. (6, 3)
B. (3, -6)
C. (-6, 3)
D. (-3, 6)
C. Coordinates of D' (-6,3)
Step-by-step explanation:
When any figure is rotated 180° in the counterclockwise direction, then the coordinates of the vertices is changed into its opposite sign.
(x, y) → (-x, -y)
The coordinates of the vertices of quadrilateral ABCD is changed when it is rotated 180 degrees counterclockwise about the origin as,
A (7,-7) → A'(-7,7)
B (4,-10) → B' (-4,10)
C (1.5, -2.5) → C' (-1.5, 2.5)
D (6, -3) → D'(-6,3)
So the coordinates of D' will be (-6,3)
claire spends 1/2 of her monthly salary on food, 1/4 on rent and 1/3 on power bills, she saves rest. what fraction of her monthly salary does she have?
A washer and dryer cost a total of $954. The cost of the washer is two times the cost of the dryer. Find the cost of each item.
Cost of washer : $ ____
Cost of dryer : $ ____
Answer:
The dryer would cost 318 and the washer would cost 636
Step-by-step explanation:
954 divided by 3 = 318 318x2=636 318+638=954
The rectangle shown has a perimeter of 60 inches and a width of 12 inches. What is its length?
A.) 12 Inches
B.) 18 Inches
C.) 36 Inches
D.)48 Inches
Answer:
it is 18
Step-by-step explanation:
that the ansewer if you divid
Final answer:
The length of the rectangle with a perimeter of 60 inches and a width of 12 inches is 18 inches, calculated using the perimeter formula for rectangles and solving for the length.
Explanation:
The question asks us to find the length of a rectangle given its perimeter and width. To solve this, we use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this case, we have P = 60 inches and w = 12 inches.
So, substituting the given values into the formula, we get:
60 = 2l + 2(12)
First, calculate the double of the width:
2(12) = 24 inches
Now, subtract this value from the total perimeter to find the double of the length:
60 - 24 = 36 inches
Finally, divide by 2 to find the length of the rectangle:
36 / 2 = 18 inches
Therefore, option B, 18 inches, is the correct answer for the length of the rectangle.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
Answer:
$361,223
Step-by-step explanation:
Each year, the value is multiplied by 1+5% = 1.05. After 51 years, it has been multiplied by that factor 51 times, so is now ...
$30,000×1.05^51 ≈ $361,223
Final answer:
To find the approximate value of land purchased for $30,000 in 1960 with a 5% annual increase by 2011, we use the compound interest formula which results in an approximate value of $447,187.25.
Explanation:
To determine the approximate value of land in the year 2011, which was purchased for $30,000 in 1960 with an average annual increase of 5%, we will use the formula for compound interest. This situation can be treated as a compound interest problem where the initial principal is the initial land value, the rate is the annual increase, and the time is the number of years the land has appreciated.
The compound interest formula is [tex]A = P(1 + r/n)^(nt),[/tex] where A is the future value of the investment/loan, including interest, P is the principal investment amount (initial value of land), r is the annual interest rate (annual increase in value), n is the number of times that interest is compounded per year, and t is the time the money is invested or borrowed for, in years.
In this scenario, P is $30,000, r is 0.05 (5% expressed as a decimal), n is 1 since we are compounding annually, and t is 51 (2011 - 1960).
Therefore,
[tex]A = 30,000(1 + 0.05/1)^(1*51).[/tex]
Carrying out the calculation gives us the approximate value of the land in 2011.
[tex]A = 30,000(1.05)^51[/tex]
Approximate value of the land in 2011 = $447,187.25
Find the distance between (1,0) and (9, 15).
Distance =
Answer:
d = 17
Step-by-step explanation:
d = √ (9 − 1) 2 + (15− 0)^2
d = √ (8) ^2 + (15) ^2
d = √ 64 + 225
d = √289
d = 17
Answer:
17
Step-by-step explanation:
i got it right on a quiz
1. Solve the inequality for x
Show each step of the solution
16x > 2x - 3
Answer:
x > -3/14
Step-by-step explanation:
Step 1: Subtract 2x from both sides
16x - 2x > 2x - 3 - 2x
14x > -3
Step 2: Divide both sides by 14
14x / 14 > -3 / 14
x > -3/14
Answer: x > -3/14
How many cubed pieces of fudge that are 3 inches on an edge can be packed
into a Christmas tin that is 9 inches deep by 12 inches wide by 9 inches high with
the lid still being able to be closed?
1. 18
2. 24
3. 32
4. 36
5. 43
Answer:
36 cubed pieces of fudge
Step-by-step explanation:
9 x 12 = 108
108 ÷ 3 = 36
Stephanie put $80 in her bank account when she was five years old. The bank gave her a simple interest rate of 2.1%.
Does she have enough money to buy a TV for $1,000 after leaving her money in the bank for 10 years?
Answer:
2000
Step-by-step explanation:
Please help I don't understand this problem. I need to get this done by tonight.
Answer:
Step-by-step explanation:
24
Square OSER, ER equals (2a+b) what is the area of square OSER
Answer:
4a² + 4ab + b² units²
Step-by-step explanation:
Area of a square = Length²
ER is a length of the square
ER = (2a + b)
Area of a square = (2a + b)² = (2a + b)(2a + b) = (2a)(2a) + (2a)(b) + (2a)(b) + (b)(b) = 4a² + 4ab + b²
The area of the square OSER = [tex]4a^{2}+4ab+b^{2}[/tex] sq unit
Step-by-step explanation:
Given,
Length of each side(ER) = (2a+b) unit
To find the area of the square OSER.
Formula
The area of a square with each side a unit is [tex]a^{2}[/tex] sq unit
[tex](a+b)^{2}= a^{2} +b^{2} +2ab[/tex]
Now,
The area of the square OSER = [tex](2a+b)^{2}[/tex] sq unit
= [tex]4a^{2}+4ab+b^{2}[/tex] sq unit [ by using the formula of ([tex]a+b)^{2}[/tex]]
please help me again
Answer:
AC=96 units
Step-by-step explanation:
x^2 - 16 = 6x
x^2 - 6x - 16 = 0
(x - 8)(x + 2) = 0
x - 8 + 8 = 0 + 8
x = 8 WORKS
x + 2 - 2 = 0 - 2
x = -2 CANT WORK BECAUSE IS NEG
CE = 6(8)
48
AC = AE + CE
AC = 48 + 48
AC = 96
Answer: AC = 96
How tall would the building be if it had 15 floors?
Answer:
it depends on how big the floors are.
Step-by-step explanation:
Can someone please help me? Pics included!!!
Answer:
I think the answer would be C.
Step-by-step explanation: