Answer:
Step-by-step explanation:
9a - 8 = 2a - 2b
7a - 8 = -2b
7a = 8 - 2b
a = (8 - 2b)/7
Which graph represents the solution to the inequality?1/3(9x+27)>x+33
Answer:
its c
Step-by-step explanation:
Graph D represents the inequality of the given Equation.
What is inequality?An inequality shows whether one value is less than, greater than, or simply not equal to another value by comparing them.
When two quantities are equal, we use the symbol "=," and when they are not equal, we use the symbol "≠". The first value can either be greater than (>) or less than (<).
Given equation 1/3(9x+27) > x+33
simplify the Equation
multiply both sides by 3 we get,
[1/3(9x+27)] 3 > (x+33)3
9x + 27 > 3x + 99
9x > 3x + 99 -27
9x - 3x > 72
6x > 72
x > 12
the Equation of inequality is x > 12
the line will be more than 12 and in which 12 is not included,
option D follows the required conditions, the empty circle in 12 shows 12 is not included and the line moves towards the positive side.
Hence option D is the correct representation of the given inequality.
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Find the area of a triangle with a 21 cm base and 4 cm height
Answer:
42 cm^2
Step-by-step explanation:
Base = 21 cm
Height = 4 cm
Area = [tex]\frac{base\times height}{2}[/tex]
Substitute values into the given equation
[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]
In forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable. With this standard, if a tree is 24 m tall, what is its base
diameter?
Answer:
5
yStep-by-step explanation:
The diameter of the base of the tree is 0.3 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.
The diameter is calculated as:-
Diameter = 24 / 80
Diameter = 0.3 meters
Hence, the diameter of the tree is 0.3 meters.
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Graph an Integer on a Number Line
Graph -4 on a number line. Then graph 8/2 on a number line. Which one
is greater????
Answer:
8/2
Step-by-step explanation:
A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem.
Answer:
$27
Step-by-step explanation:
10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
Answer:
27$
Step-by-step explanation:
0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
What would 489,000,000,000,000,000 in scientific notation
you save $150 per month for 2 years. what is the total amount you have saved?
The answer is 300 because 2 times 15 is 30 than you just add the zero
Answer:
$300
Step-by-step explanation:
i think you multiply 150 by 2 to get 300
"10 less 2 times a number"
O 10r - 2
0 2r - 10
O 2 - 10
O 10 - 2r
10 - 2
the answer to the question is 2r-10
Answer:
"10 than 2 times a number" can also be written as 2r-10.
PLEASE HELP!!!
Use the figure and find PT.
PT = 7x - 24 and TQ = 6x-2
Answer:
PT= 130
Step-by-step explanation:
Since T is the midpoint of segment PQ,
PT = TQ
7x - 24 = 6x-2
Subtract 6x both sides and add 24 both sides
7x -6x - 24 = 6x -6x -2
x - 24 + 24 = -2 + 24
x= 22
Substitue x into PT
7(22) - 24
154 - 24
PT= 130
Solving for 'x' It's Side Splitter Theorem
Answer:
12-x=x+3
12-3=x+x
9=2x
9/2=x
4.5=x
Answer:
x = 3
Step-by-step explanation:
The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is
[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides
6x + 18 = 48 - 4x ( add 4x to both sides )
10x + 18 = 48 ( subtract 18 from both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
letting y = f(x) , rearrange making y the subject
Given
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4, thus
f(x) = - 3x + 4 ← in functional notation
I need help Finding the area
The area is 10 units^2
Right side triangle: A = 1/2bh
A = 1/2(8 units^2)
A = 4 units^2
Left side triangle: A = 1/2bh
A = 1/2(4 units^2)
A = 2 units^2
Square: A = lw
A = 2x2 units^2
A = 4 units^2
Total area: right triangle + left triangle + square
Total area = 10 units^2
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{10 \text{ units} ^{2} }[/tex]
[tex]\text{To find the volume, we can divide the shape into 3 different shapes}\\\\\text{A triangle with b = 2 h = 2, a square with s = 2, and a triangle of b = 4 and h = 2}\\\\\text{Therefore:}\\\\[/tex][tex]\text{Area of a triangle: A = 1/2(bh), Area of a square: } A = s^{2} \\ \\A = 1/2(2 * 2)\\A = 1/2(4)\\A = 2 \\\\A = 2^{2} \\A = 4\\\\A = 1/2(4 * 2)\\A = 1/2(8)\\A = 4\\\\\text{Add up the areas:}\\\\2 + 4 + 4 = 10 \text{ units} ^{2}[/tex]
Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each.
Jane is 13 and Harvey is 39
Jane is 12 and Harvey is 48
Jane is 13 and Harvey is 48
Answer:
13, 39
Step-by-step explanation:
H +J =52
H =3J
3J +J =52
4J =52
J =52 :4 =13 (Jane is 13
H =3 ×13 =39 (Harvey is 39
Answer:
Jane is 13 and Harvey is 39
Step-by-step explanation:
Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
Answer:
10
Step-by-step explanation:
This is the answer because:
1) First, insert all the numbers into the expression
Expression: I -2(2) + -3(2) I
2) Next, do -2 x 2 and -3 x 2
-2 x 2 = -4
-3 x 2 = -6
3) Then, do -4 + -6
-4 + -6 = -10
4) Finally, the absolute value of -10 is 10
Therefore the answer is 10
Hope this helps!
find the perimeter .
Answer:
61& 7/20
Step-by-step explanation:
10x − 4.5 + 3x = 12x − 1.1
Walk me through solving this one-step equation for x.
-18 + x = -11
-18 + x = -11
Let's add 18 to both sides
x = 7
Answer:
7
Step-by-step explanation:
Step 1:
- 18 + x = - 11
Step 2:
x = - 11 + 18
Answer:
x = 7
Hope This Helps :)
2. Line t bisects EF at M. If EF = 35, find EM.
Answer:
EM = 17.5
Step-by-step explanation: the midpoint of 35 is 17.5
please help!! Two sides of a triangle, a and b, have lengths 1 in
Answer:
Angle A and B: tan^-1 (1/1) = 45°
Angle C: 90°
Side C:
[tex] \sqrt{ {1}^{2} + {1}^{2} } = \sqrt{2} [/tex]
PLEASE MARK AS BRAINLIEST
9. The average of your 3 quiz grades is 24 points. Two of your quiz grades
are 30 points and 22 points. Write and solve and solve an equation to find
the third quiz grade. Please include both the equation and the answer.
Plz help!!!
Answer: x = 24 (x represents the 3rd quiz grade)
Step-by-step explanation:
You need a piece of paper to measure 64 Dash 25 cylinders if you take two together that each measure 38.4 silver meters how much do you need to cut off
Answer:
The length needed to cut off is 12.55 cm
Step-by-step explanation:
The corrected question is:
you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?
Solution:
measurement/length of each paper piece = 38.4 cm
measurement/ length required = 64.25 cm
If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:
38.4 + 38.4 = 76.8 cm
So to calculate how much we need to cut off:
length required to cutoff = total length of two pieces - length required
= 76.8 - 64.25
= 12.55 cm
So the length required to cut off is 12.55 cm
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
Answer:
1st option
Step-by-step explanation:
The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.
Answer:
The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.
6*10^-2 is how many times as large as 2*10^-8
Answer:
3000000
Step-by-step explanation:
6×[tex]10^{-2}[/tex] = 6 × 1/(10)² = 6 × 1/100 = 6/1002×[tex]10^{-8}[/tex] = 2 × 1/[tex]10^{8}[/tex] = 2 × 1/100000000 = 2/100000000Divide 6/100 and 2/100000000 to find how many times as large
The answer is 3000000
A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34
Answer: 31, hope this helps❤
Step-by-step explanation:
If f(4) = 22, then the value of f(1) is 31.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Given a sequence defined as,
f(n + 1) = f(n) - 3
Given,
f(4) = 22
We know from definition,
f(4) = f(3) - 3
So, f(3) = 22 + 3 = 25
Similarly,
f(2) = 25 + 3 = 28
f(1) = 28 + 3 = 31
Hence the correct option is 31.
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You ask a friend to think of a number from 7 to 14. What is the probability that his number will be an even number? Answer as a fraction in simplest form.
Answer:
1/2
Step-by-step explanation:
Not sure but
I am assuming we have 8 integers :
All or (A) = {7,8,9,10,11,12,13,14} = n(A) = 8
Hence, the probability of any one outcome is 1/8.
Therefore, as you can detect, there are 4 numbers that are even numbers which means :
Even or (E) = {8, 10, 12, 14} = n(E) = 4
So, let E imply this occurrence
E x A
= 4 x 1/8
= 4/8
= 1/2
Probability of getting an even number from7 to 14 is equals to ( 1/ 2).
What is probability?
" Probability is defined as the mathematical calculation to represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
[tex]Probability = \frac{Number of favourable outcome }{Total number of outcomes}[/tex]
According to the question,
Given,
Total number from 7 to 14 = { 7, 8, 9, 10, 11, 12, 13, 14}
⇒Total number of outcomes = 8
Possible outcomes of even number ={ 8, 10, 12, 14}
⇒ Number of favourable outcomes = 4
Substitute the value in the formula we get,
Probability = ( 4 / 8)
= ( 1 / 2) ( fraction in simplest form)
Hence, probability of getting an even number from7 to 14 is equals to ( 1/ 2).
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How many terms are in the polynomial?
x^2 – 121
A. 2
B. 3
C. 4
D. 5
There are two terms x^2 is one and 121 is the other one.
The answer is 2 terms.
what does ^2 mean????????????????????????????????????????????????????????????
Answer and Step-by-step explanation:
What does ^2 mean? Well, first let's find out what ^ means, this is "squaring". So, ^2 means two is squared by another number. Such as 6^2. Six is squared by two.
Hope you found this helpful! Have a wonderful day!
What is the slope of the line between (3,-4) and (-2, 1)? (1 point)
O1
2
o
-2
o
-1
Answer:
m = -1
Step-by-step explanation:
Answer:
The slope is -1
Step-by-step explanation:
Slope formula:
-4-1/3-(-2)
-5/5
-1
Question 2 of 5 Consider the polynomials given below. P(x) = 11x5 + 9x4 – 4x3 – 7x2 + 5 Q(x) = (2x2 + 1)(4x2– 3) Determine the operation that results in the simplified expression below. 11x5 + x4 – 4x3 – 5x2 + 8 PQ
Q-P
P+Q
P-Q
Answer: p-q
Step-by-step explanation:
Answer: P-Q is correct
Step-by-step explanation:
Sarah has $400 in a savings account at the beginning of the summer. She wants to have more than $150 left in her account by the end of the summer. She withdraws $25 per week. How many weeks can she withdraw money from her account and still make her goal? Write an inequality to express the situation
Answer:
10 weeks; x >= $150
Step-by-step explanation:
400 - 150 = 250
She can only withdraw up to 250.
250 = 25w
250/25 = w
10 = w
10 weeks