Answer:
a. Addition & division
Step-by-step explanation:
2x - 4 = 16 (adding 4 to both sides)
2x = 16 + 4
2x = 20 (dividing both sides by 2)
x = 20/2 = 10
Hence we can see that the two operations are addition and then division
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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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:
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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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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3. Tyler said this net cannot be a net for
a square prism because not all the laces
are squares
Do you agree with him?
Explain your reasoning,
Agree..............
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]
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10x − 4.5 + 3x = 12x − 1.1
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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PLEASE HELP WILL GIVE BRAINLIEST -
A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?
The line segment congruent to line HF will be DF. The correct option is C.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
Therefore, the line segment congruent to line HF will be DF. The correct option is C.
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What would 489,000,000,000,000,000 in scientific notation
Evaluate for x=-7 and y=-3 11x - 4y
Answer:
Is -65
Step-by-step explanation:
Used a calculator
Step-by-step explanation:
x=-7 so 11x becomes 11 x-7
11 x -7=-77
y=-3 so -4y becomes -4 x -3
-4 x -3=-12
-77-12=-89
I hope it helps!
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
"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.
2p²q³×5pq÷10p³q⁴ answer it pls
p³q⁴
Step-by-step explanation:
given. 2p²q³ × 5pq ÷ 10p³q⁴
multiply. 10p³q⁴ ÷ 10 p³q⁴
Divide. p³q⁴
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]
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
Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.
What’s the distance between (0,-2),(-5,-1) round to the nearest ten
Answer:
d = [tex]\sqrt{26}[/tex] or d = 5.1
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-1-(-2))^2}\\d= \sqrt{(-5)^2+(1)^2}\\d= \sqrt{25+1}\\d= \sqrt{26}[/tex]
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.
The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6
Answer:
160
Step-by-step explanation:
Just add lol fjfjfjfjjd
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.
last year the number of cars sold was 39000 more than three times the number of trucks sold there were 216,000 cars sold last year write an equation that can be used to find the number of trucks,t, sold last year. answer
Answer:
25272 to the 10 power
Step-by-step explanation:
What is the distance between P(-3, 10 ) and Q( 12,-6)
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:
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
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
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
The intervals between levels 1 through 9 are equal. Compare the differences in
population from level 1 to 5 and from 6 to 9. Are they equal? Why or why not?
Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3
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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:
find the perimeter .
Answer:
61& 7/20
Step-by-step explanation: