Step-by-step explanation:
3x + y = 9
3x − 5y = 15
Solve with elimination. Subtract the second equation from the first.
6y = -6
y = -1
Plug into either equation to find x.
3x + -1 = 9
3x = 10
x = 10/3
Multiples of six and 8
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,
Step-by-step explanation:
If you get this, you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden?
Good luck!
If you get it correct your answer will be deleted, and l will message you to continue the game. Don't play if you are not going to continue!
Answer:
Step-by-step explanation:
is it 34 because you haven't moved the bodies. however including you there's 35???
This is a simple algebra problem. The answer is 5.
We know that:
Initially, there are 34 people in the garden.
Then you enter, so now there are 35.
Then we lose 30 of these people, so the final number of people in the garden will be: 35 - 30 = 5
Finally, there are 5 people in the garden.
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The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.
Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)
Step-by-step explanation:
Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).
*edmentum answer*
Write the expression as the sine cosine or tangent of an angle calculator.
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
Which is the slope of the line that passes through 0,-4 and 3,-2
Answer:
The slope is 2/3
Step-by-step explanation:
Slope is the change in Y over the change in X.
ΔY / ΔX (That triangle symbol just means the change)
So subtract y2-y1 then x2-x1
-2-(-4) (the two negatives cancel out to a positive so you are left with -2+4)
then 3-0
-2+4= 2
3-0= 3
2/3
Answer: -2
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (-2 -4)/( 3-0)
= -6/3
=-2
A survey at a bake-off showed that 32% of children chose strawberry cake as their favorite cake. A total of 750 children took the survey. How many children chose strawberry cake
What is -20.3-14.34?
Answer:
-34.64
Step-by-step explanation:
-20.3-14.34
-34.64
-3/8r + 41 = -22 solve for r
Answer:
r=168
Step-by-step explanation:
The drama club spent $8.50 per person on food for a cast party. The total cost of the flood was $229.50. How many people were at the cast party?
Answer:
229.50 ÷ 8.50= 27 people
The length of a rectangle is four times its width. If the perimeter of the rectangle is 80m , find its length and width.
Answer:
Width = 8 m
Length = 32 m
Step-by-step explanation:
Width = w
Length = 4w
Perimeter = 80 m
2*(length +width) = 80
2 *(4w +w ) = 80
2* 5w = 80
10w = 80
w = 80/10
w = 8 m
Width = 8 m
Length = 4 * 8 = 32 m
Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture
We'll use the following log rules
Log rule 1: log(xy) = log(x)+log(y)Log rule 2: log(x/y) = log(x)-log(y)Log rule 3: log(x^y) = y*log(x)================================================
Part 1
Answer: 2a + 2c-------------
Work Shown:
Ln(100) = Ln(4*25)
Ln(100) = Ln(2*2*5*5)
Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1
Ln(100) = a+a+c+c
Ln(100) = 2a + 2c
================================================
Part 2
Answer: 2a + b - c-------------
Work Shown:
Ln(2.4) = Ln(24/10)
Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]
Ln(2.4) = Ln[ (2*2*3)/5 ]
Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2
Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1
Ln(2.4) = a+a+b-c
Ln(2.4) = 2a+b-c
================================================
Part 3
Answer: -3a + b - 3c-------------
Work Shown:
Ln(0.003) = Ln(3/1000)
Ln(0.003) = Ln[ 3/( 10^3) ]
Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2
Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3
Ln(0.003) = Ln(3) - 3*Ln(2*5)
Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1
Ln(0.003) = b - 3*( a + c )
Ln(0.003) = b - 3a - 3c
Ln(0.003) = -3a + b - 3c
================================================
Part 4
Answer: 3a + 3b + 2c-------------
Work Shown:
All logs shown for this part are in base 2
log(5400) = log(54*100)
log(5400) = log(6*9*4*25)
log(5400) = log(2*3*3*3*2*2*5*5)
log(5400) = log(2^3*3^3*5^2)
log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1
log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3
log(5400) = 3a + 3b + 2c
Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
5x - 2z = 8 -2y + 9z = 50 6x + 9y + 9z = 96
Answer:
there r algebra calulators you could use
Step-by-step explanation:
ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2). make sure to show all work.
Answer:
Perpendicular Bisector Equation: y = 12x - 9.500
Step-by-step explanation:
Let find out the midpoint for given coordinates as follows:
[(-5+7)/2, (3 +2)/2]
= (2/2, 5/2)
= (1,5/2)
The midpoint coordinates are (1,5/2) means (x1 , y2)
2. Find the slop of line for given coordinates as follows:
(2-3)/(7-(-5)
= -1/12
3. Find the negative reciprocal as follows
-1/12
= 12 (m)
4. Now find the perpendicular bisector equation as follows:
y – y1 = m ( x – x1)
y – 3 = 12 (x – (-5)
y = 12x - 9.5
The required equation of the line is x + 12y = 41 which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles.
The perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).
We have to determine the equation of the line
Let x₁ = -5, y₁ = 3 and x₂ = 7, y₂ = 2
The required of equation line is:
y - y₁ = (y₂ - y₁ )/( x₂ - x₁ )( x - x₁ )
Substitute the values in the formula to get the line,
y - 3 = (2 - 3)/(7 - (-5))(x - (-5))
y - 3 = (-1/12)(x+5)
12y - 36 = -x -5
x + 12y = 41
Thus, the required equation of the line is x + 12y = 41.
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Write an equation for the description The difference between a number x and 18 is 21.
Answer:
x - 18 = 21
Step-by-step explanation:
In math, the description, "the difference between p and q" is written as ...
p - q
Then the difference between x and 18 is ...
x - 18
When we say that "is 21", we mean it is equal to 21:
x - 18 = 21
Express (x-4)^2 as a trinomial in standard form
Answer:
x² - 8x + 16
Step-by-step explanation:
Step 1: Write out expression
(x - 4)²
Step 2: Expand
(x - 4)(x - 4)
Step 3: FOIL
x² - 4x - 4x + 16
Step 4: Combine like terms
x² - 8x + 16
A spinner with 6 equally sized slices is shown below. (2 slices are yellow, 1 is blue, and 3 are red.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?
Answer:
1/3
Step-by-step explanation:
We have 6 slices
2 are yellow
P ( yellow) = number of yellow / total
= 2/6
= 1/3
Answer:. 1/3 probability that it stops on yellow.
Step-by-step explanation:
There are 6 possible outcomes. 2 are the incidents that you are looking for.
Make a ratio 2:6 or a fraction 2/6
Then simplify or reduce the fraction. 2/6 = 1/3
Solve each equation. Check your solutions.
5 - 3|2 + 2w|= -7
Answer:
[tex]w=1\text{ or } w=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5-3|2+2w|=-7[/tex]
First, subtract 5 from both sides:
[tex]-3|2+2w|=-12[/tex]
Divide both sides by -3:
[tex]|2+2w|=4[/tex]
Definition of Absolute Value:
[tex]2+2w=4\text{ or } 2+2w=-4[/tex]
Divide both sides of the equation by 2 for both equations:
[tex]1+w=2\text{ or } 1+w=-2[/tex]
Subtract 1 from both sides:
[tex]w=1\text{ or } w=-3[/tex]
And we're done!
To check:
[tex]5-3|2+2(1)|=-7[/tex]
Multiply:
[tex]5-3|2+2|=-7[/tex]
Add:
[tex]5-3|4|=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
And:
[tex]5-3|2+2(-3)|=-7[/tex]
Multiply:
[tex]5-3|2-6|=-7[/tex]
Subtract:
[tex]5-3|-4|=-7[/tex]
Absolute Value:
[tex]5-3(4)=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
help me asap!!!!!!!!?!??
Answer:
9.225 x 10^18 is what it is in standard form
Step-by-step explanation:
Answer:
ummm, it should be 9,225,000,000,000,000,000. =D
Step-by-step explanation:
move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!
A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten
Answer:
If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.
Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:
33 = 100
25 = X
(25 x 100) / 33 = X
2500/33 = X
75.75 = X
25/33 = X
Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.
It takes Mrs. Rice 4 hours to drive the 240 miles to visit her sister in Plano.
Calculate the rate to the nearest whole mile per hour for Mrs. Rice's drive.
Given:
Time = 4 hours
Distance = 240 miles
To find:
The speed or the rate mile per hour for Mrs. Rice's drive.
Solution:
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the given values, we get
[tex]Speed =\dfrac{240}{4}[/tex]
[tex]Speed =60[/tex]
Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.
Please Show Work 6x(-4) Six times negative four.
Answer:
6 x (-4)
= (-24)
Step-by-step explanation:
when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.
NOTE: if a number doesn't have a sign, it's a positive number
James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?
he has less marbles
Step-by-step explanation:
cuz he doesAnswer:
79.83
I rounded to the nearest hundredth
PLEASE ANSWER ILL GIVE YOU BRAINLIST AND A THANK YOU! Question: 20.155 rounded to the nearest tenth
It wont let me just put the number
20.2
Answer:
20.2
Step-by-step explanation:
because 155 can be rounded to 200 and you can take the zeros off
A box contains 8 white balls, 7 black balls, & 2 red balls.
a) how many red balls must be added to the box so that the probability of drawing a red ball is 8/9
b)how many black balls must be added to the original box so that the probability of drawing a white ball is 1/9?
Answer:
a) 118
b) 55
Step-by-step explanation:
a) Originally, there are 2 red balls and a total of 17 balls.
8/9 = (2 + x) / (17 + x)
8 (17 + x) = 9 (2 + x)
136 + 8x = 18 + 9x
x = 118
b) Originally, there are 8 white balls and a total of 17 balls.
1/9 = 8 / (17 + x)
17 + x = 72
x = 55
All checked baggage on a particular airline company must not exceed 64 inches or an additional fee is charged.
The size of the baggage is determined by adding length + width + height.
If a bag has a height of 22 inches and a width
that is 16 inches less than the length, what lengths are acceptable for the bag to be checked free of charge?
If the bag is to be checked free of charge. its length must be __ inches or less.
5x23x2 use properties to find the sum or protuct
Answer:
230
Step-by-step explanation:
use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides
which statement is true about this equation?
y = -3x^2 + 4x - 11
a) it represents a function only
b) it represents a relation only
c) it represents both a relation and a function
d) it represents neither a relation nor not function
Answer:
C
Step-by-step explanation:
it represents both a relation and a function
Answer:
The correct answer is C. It represents both a relation and a function.
Step-by-step explanation:
I got it right on the Edmentum test.
A bus makes a stop at 2:30 letting off 12 people
What's the question?
Write five hundred twenty-five thousandths as a decimal number
Please help
Answer:
.525
Step-by-step explanation:
Five hundred twenty-five thousandths is a decimal number will be 0.525.
What is a decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-
Five hundred twenty-five thousandths = 0.525
Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.
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