Define a variable and write an expression for the phrase.
a number divided by 82
Solve for x in the equation x squared minus 4 x minus 9 = 29.
Answer:
Step-by-step explanation:
x^2 -4x - 9 = 29
x^2 - 4x = 37
x = 2 ±[tex]\sqrt{42}[/tex]
Answer:
x = 2 ± [tex]\sqrt{42}[/tex]
Step-by-step explanation:
x^2 -4x - 9 = 29
x^2 - 4x = 37
x = 2 ± [tex]\sqrt{42}[/tex]
Ian is a waiter. He waits on a table of 4 whose bill comes to $110. If Ian receives a 15% tip, how much will he receive?
Answer:
16.50
Step-by-step explanation:
First do 15% of 100$ then 15% of 10% and add the two values together.
27^x = 9^(x − 4)
x = 8
x = 4
x = −4
x = −8
Step-by-step explanation:
27^x = 9^(x - 4)
3^3x = 3^2(x - 4)
3x = 2(x - 4)
3x = 2x - 8
3x - 2x = -8
x = -8
Eight over three times three over one
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation: 8/3 x 3/1 = 8
What is the factored form of the expression 144x2 - 49?
A. (12x - 7) (12x + 7)
B. (12x - 7) (12x - 7)
C. (144x + 1)(x - 49)
D. (144x - 1) (x + 49)
Answer:
A
Step-by-step explanation:
Difference of squares: (a^2 - b^2) = (a - b)(a + b)
(144x^2 - 49) = (12x - 7) (12x + 7)
Answer:
A. (12x - 7) (12x + 7)
Step-by-step explanation:
144x^2 - 49
Rewriting
(12x)^2 - 7^2
Recognizing this is the difference of squares
a^2 - b^2 = ( a-b) (a+b)
( 12x-7) (12x+7)
Given a point P(8,1) on segment AB with A(-2,3), find the coordinates of B if ap/ab=2/3. The answer should be entered in the form (x,y) without any spaces between characters
Answer:
The coordinates of point B are (23,-2)
Step-by-step explanation:
Mathematically, what this question is telling us is that the point P divides the segment AB in the ratio 2:3
We are now tasked with finding the coordinates of point B
For point P to have divided the segment in that particular ratio, then, internal division formula would have been used.
Mathematically, the internal division formula is given as;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)
In this particular question case;
(x,y) are coordinates of p = (8,1)
x = 8 , y = 1
m = 2 , n = 3
x1 = -2 , y1 = 3
x2 = x , y2 = y ( coordinates of point B)
So let’s make the substitution;
(8,1) = 2x + 3(-2)/2+3) , 2(y) + 3(3)/(2+3)
(8,1) = (2x-6)/5 , (2y + 9)/5
So therefore; let’s equate
(2x-6)/5 = 8
and 2y+ 9/5 = 1
2x-6/5 = 8
2x -6 = 8*5
2x -6 = 40
2x = 40 + 6
2x = 46
x = 46/2
x = 23
(2y + 9)/5 = 1
2y + 9 = 5 * 1
2y + 9 = 5
2y = 5-9
2y = -4
y = -4/2
y = -2
So the coordinates of point B are (23,-2)
(4x-5) (4x+5)
Expand and simplify
Step-by-step explanation:
(4x-5)(4x+5)
multiply each
4x×4x=16x^2
4x×5=20x
-5×4x= - 20x
-5×5= -25
16x^2+20x-20x-25
16x^2-25
whats five and one fourth divided by one third with how u got it
A section of wall is being framed. A model of the framing work is shown below. Vertical and parallel lines c, d, and e are cut by diagonal transversal b. The uppercase right angle formed by the intersection of lines b and c is angle A. The uppercase left angle formed by the intersection of lines d and b is 125 degrees. Which best describes the relationship between the 125° angle and angle A? They are same side interior angles. Angle A measures 55°. They are alternate interior angles. Angle A measures 125°. They are vertical angles. Angle A measures 125°. They are corresponding angles. Angle A measures 55°.
Answer:
a. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
They are the same side interior angles. Angle A measures 55°.
Are all interior angles 180?If you think about it, you'll see that when you add any of the interior angles of a triangle to its neighboring exterior angle, you always get 180 degrees a straight line.
What are interior angles for example?Interior angles are those that lie inside a polygon. For example, a triangle has 3 interior angles. The other way to define interior angles is "angles enclosed in the interior region of two parallel lines when intersected by a transversal are known as interior angles".
Learn more about interior angles here https://brainly.com/question/24966296
#SPJ2
ctions: Choose the correct answer for each problem below.
1. Divide: 71.5+ 11
a. 65
b. 6.5
C. 0.65
d. 650
2. Divide: 495.06 +0.6
a. 825.1
b. 8,251
C. 82.51
d. 8.251
Find the sum using the appropriate formula to the given term. 3 + 6 + 9 +... : S10
Answer:
[tex] S_{10} = 135[/tex]
Step-by-step explanation:
Given sequence is:
3 + 6 + 9 +...
Here,
a = 3, d = 6 - 3 = 3, n = 10
[tex]\because S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_{10} = \frac{10}{2} \{2 \times 3 + (10 - 1) \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 7 \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 21\} \\ \\\therefore \: S_{10} = 5 \times 27 \\ \\ \huge \orange{ \boxed{\therefore \: S_{10} = 135}} \\ \\[/tex]
Evaluate 10 + 2(3 + 2) + 5 + (36÷ 6). 71 31 41 21
Answer:
31
Step-by-step explanation:
Mariah owed her grandfather $2.25 but was recently able to pay him back $1.50. How much does Mariah currently owe her grandfather?
Answer:
75 cents
Step-by-step explanation:
50 plus 15=75
Answer:
0.75
Step-by-step explanation:
2.25-1.50
Write the sentence as an equation.
Answer:
141 = 212/u
Step-by-step explanation:
Which of these linear equations best describes the given model?
Choose 1 answer:
y = 0 + 0.25
Y =2+0.5
a) = 0,5 +0.25
û = 0.5x + 0.5
The following is a composite figure. Find the TOTAL AREA of
the figure.
16 in
8 in
16 in
8 in
inches
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch
periods
Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor?
Answer:
0.2
Step-by-step explanation:
Missing table in the question
Orange - 51 Grape - 30Cherry - 69SolutionTotal number of juice bought:
51 + 30 + 69 = 150Probability of a student choosing grape flavor:
Probability = favorable outcomes / total outcomesP(grape) = 30/150 = 1/5 = 0.2Answer is 0.2
Probability that a student who bought juice chosen at random purchased the grape flavor is 0.2.
According to the question, there are three lunch periods and the number of students that take different flavors of juice is shown below;
Orange - 51Grape - 30Cherry - 69Since probability = Expected outcome/sample space
Sample space = 51 + 30 + 69 = 150
Probability that a student who bought juice chosen at random purchased the grape flavor = 30/150 = 0.2
Learn more: https://brainly.com/question/12108425
Missing parts;
Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch periods. Orange Grape Cherry 51 30 69 Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor? O A. 0.2 O B. 0.25 O C. 0.3 D. 0.33
A builder is building five new homes it will take four electricians two days to wire each home.The electricians work eight hours per day and and $37.45 per hour .how much will it cost to pay the electricians?
Answer:
$11 984
Step-by-step explanation:
[tex](5 \times 2 \times 8) \times 37.45 \times 4 \\ 80 \times 37.45 \times 4\\ 11984 [/tex]
(5x2x8) because it's 5 houses which require 2 days per house which the electricians only work 8 hours per day.
Thus 80x37.45x4 because the answer of (5x2x8) is 80, and they get $37.45 per hour and there is 4 electricians.
What is the perimeter?
Answer:
D.) 10x + 2y
Step-by-step explanation:
x + 4x + 4x + x = 10x
y + y = 2y
10x + 2y
Hopefully this helps you :)
pls give me brainlest ;)
What does this mean?
Answer:
f(x) = |x| represents the modulus function or absolute value function. It gives us the distance between any point and the origin. Since distance can never be negative so we always consider its positive value only. You can simply multiply the given value with ‘-1’(if the given value is negative).
Step-by-step explanation:
El radio del círculo es 4 ,pulgadas cuál es el diámetro ?
Aarón and Alice are bowling.Alice’s score is twice the difference of Aaron’s score and 5.The sum of their scores is 320. Find each students bowling score.
Given :
Alice’s score is twice the difference of Aaron’s score and 5.
The sum of their scores is 320.
To Find :
Each students bowling score.
Solution :
Let , score of Aaron is x .
So , score of Alice is 2(x-5) .
Also , Their sum of scores is equal to 320 .
[tex]x+2(x-5)=320\\\\3x-10=320\\\\x=11[/tex]
Therefore , score of Aaron and Alice 11 and 12 .
Hence , this is the required solution .
which two integers have a sum of - 15
Answer:
-13 and -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
the product as 26 and the sum of the two numbers as 15, one can say that the two numbers are 13 and 2.
Please helpppppppp:)))))))
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Since AB bisects AC, AB = BC.
[tex]x+12=6x-23[/tex]
Subtract 12 from both sides:
[tex]x+12-12=6x-23-12[/tex]
[tex]x=6x-35[/tex]
Subtract 6x from both sides:
[tex]x-6x=6x-35-6x[/tex]
[tex]-5x=-35[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-35}{-5}[/tex]
[tex]x=7[/tex]
Margaret goes to the county fair with $35. Rides cost $3 each.
Which is the function that gives the amount of money m that Margaret has as a function of the number of rides r that she takes?
i need HELPP ,, solve for x ,, idkk what it is !!
Answer:
x = 20
Step-by-step explanation:
[tex]3x + 6x = 180\\9x = 180\\x = 20[/tex]
Write the equation of the line that passed through the points (-1,6) and (5,0)
Answer: y = -1x + 5
Step-by-step explanation:
1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)
(0 - 6)/ (5 -(-1))
2. Solve for slope
-6/6
= -1
3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line
(y -(-1)) = -1( x - 6)
4. Solve for y
y + 1 = -1x + 6 -----> y = -1x + 5
If 2x - 3 = 5x + 6, what is the value of 4x
Steps to solve:
2x - 3 = 5x + 6
~Add 3 to both sides
2x = 5x + 9
~Subtract 5x to both sides
-x = 9
~Divide -1 to both sides
x = -3
Solve for 4x using x = -3
4(-3) = -12
Therefore, the answer is x = -12
Best of Luck!
what is 149,597,870 in scientific notation
Answer:
1.4959787 × 10^8
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.
Follow the steps below to see how 149,597,870 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 149,597,870
New Number: 1.49597870
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 4 9 5 9 7 8 7 0
Decimal Count: 1 2 3 4 5 6 7 8
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10^b
a = 1.4959787 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
1.4959787 x 10^8
Step 4
Check your work:
10^8 = 100,000,000 x 1.4959787 = 149,597,870
Hope this helped.
