Answer:
Mr. Phillips can fill 18 bottles of paint
Step-by-step explanation:
The first thing you should do in this case is to know how many ounces of paint you have:
Painting = 64 + 12 + 32 = 108
Then, to calculate the number of 6-ounce bottles you must divide the total number of ounces by 6:
n = (108) / (6) = 18
9. Identify the domain of the set (6,1),(-1, -8), (3,5), (9,1)
and tell if the relation is a function.
Step-by-step explanation:
[tex](x,\ y)\\\\x\in\text{Domain}\\\\y\in\text{Range}\\\\(6,\ 1),\ (-1,\ -8),\ (3,\ 5),\ (9,\ 1)\\\\\text{Domain}=\{-1,\ 3,\ 6,\ 9\}\\\text{Range}=\{-8,\ 1,\ 5\}\\\\\text{This relation is a function because each x is assigned one value of y.}[/tex]
Answer:
Yes, this relation is a function.
Step-by-step explanation:
Take the first element from each ordered pair to obtain the domain:
(6, -1, 3, 9). Since the inputs are all unique (no duplication), the relation is a function.
What does x equal 2(x-3)=14
Answer: x = 10
Explanation: To solve this equation for x, we start by distributing the 2 through the parentheses on the left side.
So we have 2 times x which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.
Solving from here,
we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that x = 10.
We can check our answer by substituting a 10 back in for x in the original equation and we have 2(10 - 3) = 14.
10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.
The steps to solving -3x(4x+3)+5x
Hey there!
-3x(4x + 3) + 5x
= -3x(4x) + -3x(3) + 5x
= -3x(4x) - 3x(3) + 5x
= -3x(4x) + 3(-3x) + 5x
= -12x^2 + 3(-3x) + 5x
= -12x^2 - 9x + 5x
= -12x^2 - 4
Therefore, your answer is: -12x^2 - 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
help asap pls
Joni is solving the equation 3x-1= 6 - x using the graphing capabilities
on her calculator. Here is what the calculator screen displays
when she finds the intersection of the graphs of Y2 = 3x - 1 and Y2 = 6-X.
What is the solution to the equation? How do you know?
Answer:
x = 7/4 = 1.75
Step-by-step explanation:
Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.
As I can't see the calculator, I will also show you how to work out the solution for x:
3x - 1 = 6 -x
4x -1 = 6
4x = 7
x = 7/4 = 1.75
Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from B to AC.
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]
The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]
=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]
=[tex]|-54|[/tex] = 54 square units
The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]
= [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]
=[tex]\sqrt{149}[/tex] units
Let the perpendicular distance from B to AC be = x
According To Problem
[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]
⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units
Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]
Luis choosing one card from the deck then choosing a second card without replacing the first. Is this independent or dependent
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Step-by-step explanation:
Lets define independent and dependent events first.
Independent events:
The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.
Dependent events:
The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.
Now,
When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.
Hence,
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Keywords: Probability, dependent events
Learn more about probability at:
brainly.com/question/10666510brainly.com/question/10699220#LearnwithBrainly
A vase is on sale at 50% off. The sale price is $160. What was the original price?
Answer:
$320
Step-by-step explanation:
To find the answer to this you would need to multiply the price by 2 so that you may find out what double the half of price would be, so in theory you and doing the reciprocal.
Circle the answer.
Four times a number,decreased by two is five.
Written out, that would be 4x - 2 = 5.
To solve, add 2 and then divide by 4:
4x = 7
x = 7/4
Answer:
7/4
Step-by-step explanation:
X = a number
Four times a number
4X
Four times a number,decreased by two
4X - 2
Four times a number,decreased by two is five.
4X - 2 = 5
4X = 5 + 2 = 7
X = 7/4
What is 2X +3+ 3X equals X +11
Answer:
Part 1) x=5
Part 2) x=2
Step-by-step explanation:
The question is solve for x
Part 1) we have
[tex]x+3x=x+x+10[/tex]
Combine like terms both sides
[tex]4x=2x+10[/tex]
subtract 2x both sides
[tex]4x-2x=10\\2x=10[/tex]
divide by 2 both sides
[tex]x=5[/tex]
Part 2) we have
[tex]2x+3+3x=x+11[/tex]
Combine like terms left side
[tex]5x+3=x+11[/tex]
subtract x both sides
[tex]5x+3-x=11\\4x+3=11[/tex]
subtract 3 both sides
[tex]4x=11-3\\4x=8[/tex]
divide by 4 both sides
[tex]x=2[/tex]
HELP HELLP HELP MEH I NEED 16 MORE CLASSES LEFT FOR SCHOOL LET IT BECOME 15 PLEASE
Answer:
2*2*9+4*12*3=36+144=180
Step-by-step explanation:
A landscaper wishes to make a rectangle flower garden that is twice as king as it is wide. Express the area of the garden as a function of its width.
Answer:
L = 2w
A = L*W
A = 2w*w
A = 2w^2
Step-by-step explanation:
Final answer:
The area of the rectangle garden as a function of its width w is [tex]A(w) = 2w^2[/tex], where the length is twice the width of the garden.
Explanation:
The landscaper wishes to make a rectangle flower garden where the length is twice the width. If we denote the width as w and the length as 2w, we can express the area A as a function of its width.
The formula for the area of a rectangle is length × width, so the area function A(w) would be:
A(w) = length × width
= 2w × w
= [tex]2w^2[/tex]
So, the area of the garden as a function of its width is [tex]A(w) = 2w^2.[/tex]
Pls help, more equations. If you answer, you can do it on paper, then take a photo and post it as your answer
Answer:
all work is shown and pictured
Five movie tickets cost 36.25 what is the cost of 8 movie tickets
Answer:
290.
Step-by-step explanation:
36.25 x 8
I need the last two
Answer:
Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]
Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]
Step-by-step explanation:
Part 5) we know that
The area of a square is equal to
[tex]A=b^2[/tex]
where
b is the length side of the square
we have
[tex]A=12x^2\ ft^2[/tex]
substitute
[tex]12x^2=b^2[/tex]
Solve for b
take square root both sides
[tex]b=\sqrt{12x^{2}}[/tex]
Remember that
[tex]12=(2^2)(3)[/tex]
substitute
[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]
Applying property of exponents
[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]
Part 6) we know that
The volume of a cube is equal to
[tex]V=b^3[/tex]
where
b is the length side of the cube
we have
[tex]V=128y^3\ mm^3[/tex]
substitute
[tex]128y^3=b^3[/tex]
Solve for b
take cubic root both sides
[tex]b=\sqrt[3]{128y^3}[/tex]
Remember that
[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]
substitute
[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]
Applying property of exponents
[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]
what is 58% of 18 Show and explain your work, please!!!
Answer:
10.44
Step-by-step explanation:
okay so percentages can be converted to decimals
to do this, you can either:
move the decimal space to the left twice
or
divide the percentage (in this case 58) by 100,
regardless you will get the same answer
58.0 → 5.80 → 0.58
now that you have 58% as a decimal, all you have to do is multiply it by 18
(0.58)(18) = 10.44
therefore, 58% of 18 is 10.44
Final answer:
To calculate 58% of 18, convert the percentage to a decimal (0.58) and multiply it by 18, resulting in 10.44.
Explanation:
To find what 58% of 18 is, we use the concept that 'percent' means 'per hundred' or 'out of 100'. So essentially, we need to find 58 out of every 100 parts of 18. This calculation can be represented by the mathematical expression 0.58 x 18 (since 58% as a decimal is 0.58). The steps to solve this are:
Convert the percentage to a decimal: 58% = 0.58.Multiply the decimal by the total number: 0.58 x 18.Perform the multiplication: 0.58 x 18 = 10.44.So, 58% of 18 is 10.44.
Which equation represents the line that passes through the points (4, 7) and (-2, -2) ?
y = 3/2x + 1
y = -5/2x + 17
y = 5/2x - 3
y = -3/2x + 13
Answer:
y=3/2x + 1
•••••••••••••
Evaluate the expression when b=6 and x=-6
Answer:
x = -6
=b=6=
Step-by-step explanation:
Answer:
Step-by-step explanation:
Incomplete question!
SEQUENCES AND SERIES
QUESTION 1: The 8th and 20th terms of an arithmetic sequence are respectively equal to
the 6th and 8th terms of a geometric sequence. In the arithmetic sequence the first term is
a and the non-zero common difference d, whilst r is the common ratio in the geometric
sequence.
(a) Show that r^2=a+19d/a+7d
(b) If the 5th term of the arithmetic sequence is 4 and r is an integer, determine all
possible General Terms of both sequences.
Answer:
Step-by-step explanation:
As we Know that formula for arithmetic sequence is
[tex]a_n=a_1+(d-1)[/tex]
and for geometric sequence is
[tex]a_n=a1*r^(n-1)[/tex]
So,
According to given conditions
[tex]a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)[/tex]
By dividing equation (i) and (ii)
Hence proved that
[tex]r^2=a+19d/a+7d[/tex]
You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and island B have a total of 15 houses. Island A and island C have a total of 17 houses. Island B and island C have a total of 12 houses. A total of 22 houses is to be built on the three islands. Determine how many houses are to be built on each island. Explain how you arrived at your answer in detail.
Answer:
Island A, B and C has 10, 5 and 7 houses respectively.Step-by-step explanation:
Let, the three islands A, B and C has a, b and c houses respectively.
According to the question, a + b = 15; a + c = 17; b + c = 12; a + b + c = 22.
Adding [ a + b = 15; a + c = 17]-these two, we get, [tex]a + (a + b + c) = 15 + 17 = 32\\a + 22 = 32\\a = 10[/tex].
Now, [tex]a + b = 15\\10 + b = 15\\b = 5[/tex].
[tex]a + c = 17\\10 + c = 17\\c = 7[/tex].
y = 2x – 5 2y – 4x =
Answer:
2y-4x
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
y=2x-5
Putting the value of y in 2y-4x
2(2x-5)-4x
4x-10-4x
0-10
-10
What is the altitude of an equilateral triangle with a side length of 10 in.
Good morning,
Answer:
[tex]\frac{\sqrt{3} }{2} a[/tex]
Step-by-step explanation:
h = altitude
side = a
using Pythagorean theorem: in the right triangle:
h² = a² - (a/2)²
= a² - a²/4
= 3/4a²
= [(√3/2)×a]²
⇒ h = (√3/2)×a.
:)
please help i need this answer for my end of course test
a(1) = -13
a(n) = a(n - 1) + 4
Find the second term in the sequence.
Question options:
a) 9
b) -9
c) 8
d) -8
i will give you the brainliest
Option B
The second term of sequence is -9
Solution:
Given that,
[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]
We have to find the second term of sequence
To find the second term of sequence, substitute n = 2 in given recursive formula
Plug in n = 2 in above equation
[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]
Substitute a(1) = -13
[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]
Thus the second term of sequence is -9
Smith Elementary School scored 30 less points in their track meet than Jones Elementary School. If Jones Elementary School scored x points, write an expression to represent how many points Smith Elementary School scored.
The expression that represents the points of Smith Elementary School scored is x - 30
Step-by-step explanation:
Let us revise some words that means operations in mathematics
The sum ⇒ add (the sum of x and y is x + y)The difference ⇒ subtract (the difference between x and y is x - y)The product ⇒ multiply (the product of x and y is x × y)The quotient ⇒ divide (the quotient of x divided by y is x ÷ y)Less than ⇒ minus (x less than y by n is x = y - n)More than ⇒ plus (x is more than y by m is x = y + m)∵ Smith Elementary School scored 30 less points in their
track meet than Jones Elementary School
- That means the score of Smith Elementary School is less than
the score of Jones Elementary School by 30
∵ Jones Elementary School scored x points
- Subtract 30 from x to find the score of Smith Elementary School
∴ Smith Elementary School scored = x - 30
The expression that represents the points of Smith Elementary School scored is x - 30
Learn more:
You can learn more about the expressions in brainly.com/question/13087541
#LearnwithBrainly
Answer:
x-30
Step-by-step explanation:
We know that Jones Elementary has x points. If Smith Elementary has 30 less points then we should subtract 30 from x to get x-30.
Help me, is correct? Thanks
Answer:
Step-by-step explanation:
Yes
A recipe requires 5 cups of sugar you can only measures using 3/4 cups how many 3/4 cups are needed for the recipe leave the answer as an improper fractions
Answer:
Step-by-step explanation:
5 / (3/4) =
5 * 4/3 =
20/3 <==== I left it as an improper fraction
Rita correctly answered 9 out of the 10 on the test. What was the fraction of the test did rita answer incorrectly
Answer:
she got 9 out of 10 correct on the test so 90% correct, which only leave 10% left to have 100%.
so she got 10% wrong
Step-by-step explanation:
Answer:
1 out of ten or 10 percent { :
Step-by-step explanation:
At soccer practice, for every 5 minutes that Bob runs, e spends 20 minutes practicing dribbling. If Bob keeps the same ratio and he spends 36 minutes practicing dribbling, how many minutes does he spend running?
5/20=x/36
1/4=x/36
x=9
9 minutes.
Final answer:
To determine the time Bob spends running, a proportion is set up based on the original 5:20 running to dribbling ratio. Solving this proportion shows that Bob runs for 9 minutes when he spends 36 minutes dribbling.
Explanation:
Bob's practice ratio for running and dribbling is 5 minutes running to 20 minutes dribbling. To find how many minutes Bob spends running when he practices dribbling for 36 minutes, we set up a proportion using the original ratio. The proportion is:
5 minutes running / 20 minutes dribbling = x minutes running / 36 minutes dribbling
To solve for x, we cross-multiply:
(5 minutes running) × (36 minutes dribbling) = (x minutes running) × (20 minutes dribbling)
This gives us:
180 = 20x
Now divide both sides by 20 to solve for x:
x = 180 / 20
x = 9 minutes
Thus, Bob spends 9 minutes running when he practices dribbling for 36 minutes.
The table shows inputs and outputs for a relation.
Identify a possible value for x that would make the relation shown in the table NOT a
function. Explain.
Answer:
whats the answer lol
Step-by-step explanation:
How many does 40 go into 100
Answer:2.5 or 2 with the remainder of 20
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)
Hope this helps!
-Coconut;)