Answer:
3(x + 2) = 3x + 6
Step-by-step explanation:
3(x + 2) = 3x + 6
Distribute --> 3x + 6 = 3x + 6
The pair which shows equivalent expressions are 3(x + 2) = 3x + 6.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given are four equations.
A) 3(x + 2) = 3x + 6
This is equivalent, since,
3(x + 2) = 3x + (3 × 2) = 3x + 6
B) 3x + 2x= x² (3 + 2)
This is incorrect since, 3x + 2x = x(3 + 2)
C) 3x + 2 = 3(x + 2)
This is also not equivalent since we cannot take 3 outside since it is not common.
D) -3(2 + x) = -6x - 3
This is also not true since,
-3(2 + x) = (-3 × 2) + (-3x) = -6 - 3x.
Hence the equivalent expression is 3(x + 2) = 3x + 6.
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Find the volume and surface area of the composite figure. Give four answer in terms of π. HELP NEEDED NOW!!! THE RED IS THE ONE I GOT WRONG!!
Answer:
Divide the figure above into a cylinder and a dome
+) the volume of the dome is
[tex]v1 = \frac{1}{12} \pi6 {}^{3} = 18\pi[/tex]
the surface area is
[tex]s1 = \pi3 {}^{2} = 9\pi[/tex]
+) the volume of the cylinder is
[tex]v2 = \pi.3 {}^{2} .13 = 117\pi[/tex]
the surface area is
[tex]s2 = 2\pi.3.13 + 2\pi.3 {}^{2} = 96\pi[/tex]
so the volume of this figure is
[tex]v = v1 + v2 = 18\pi + 117\pi = 135\pi[/tex]
the surface area of this figure is
[tex]s = 9\pi + 96\pi = 105\pi[/tex]
HELP MEH PLEASEEEEEEEEEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
A cyclist rides his bike at 12 miles per hour. What is this speed per minute? How many miles will the cyclist travel in 20 minutes? Do not round you answers. Help thx
Answer:
In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or [tex]\frac{1}{2}[/tex] mile.
Step-by-step explanation:
The cyclist will travel 4 miles in 20 minutes.
What is Speed?Speed is the time rate at which an object is moving along a path,
To find the speed per minute, we can use the fact that there are 60 minutes in an hour. Therefore:
12 miles per hour = 12/60 miles per minute = 0.2 miles per minute
So the cyclist's speed is 0.2 miles per minute.
To find how many miles the cyclist will travel in 20 minutes, we can use the formula:
distance = rate x time
Plugging in the given values, we get:
distance = 0.2 miles per minute x 20 minutes
distance = 4 miles
Therefore, the cyclist will travel 4 miles in 20 minutes.
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Draw an angle of -45 degrees in standard position . Then find the reference angle
Answer:
45°
Step-by-step explanation:
-45° would be 360°-45°=315°
Since 315° is in Quadrant IV, then its reference angle is 360°-315°=45°
So really, -45° is just 45° clockwise which is also our reference angle.
456 + 788 - 129 x 9 = ?
Also wanna converse? Lol
[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]
PLEASE HELP..... PLEASE THX
Answer:
x = 30 and y = 50
Step-by-step explanation:
Given that,
The cost of 4 shirts and 1 pair of pants is $170 and the cost of 5 shirts and 2 pair of pants is $250.
Let the cost of 1 shirt is x and that of 1 pant is y.
So,
4x+y=170 .....(1)
5x+2y = 250 .....(2)
Multiply equation (1) by 2.
8x+2y=340 .......(3)
Subtract equation (2) from (3).
8x+2y-(5x+2y)=340-250
3x = 90
x = 30
Put the value of x in equation (1).
4(30)+y=170
120+y=170
y = 170-120
y = 50
Hence, the value of x is 30 and that of y is 50.
Sam drew the triangle pictured below.
Which term best describes Sam's triangle?
obtuse
right
isosceles
equilateral?
Answer:
first one= obtuse
Step-by-step explanation:
have a good day!
A circle has a diameter of 8 cm. An angle in the center of the circle creates an arc AB. That angle's measure is pi/4 rad. What is the measure of arc AB
Answer:
3.14 cm
Step-by-step explanation:
From the question,
Applying
s = πdФ/360................... Equation 1
Where s = length of arc AB, d = diameter of the circle, Ф = angle at the center of the circle, π = pie
From the question,
Given: d = 8 cm, Ф = π/4 rad = 45°
Constant: π = 22/7
Substitute these values into equation 1
s = (22/7)(8)(45)/360
s = 3.14 cm.
Hence the lenght of arc AB = 3.14 cm
HELP DUE IN 15 MINS!
x = ??
Answer:
x = 7Step-by-step explanation:
Intersecting secants theorem:
8*(8 + 10) = 9*(9 + x)9x + 81 = 1449x = 63x = 7Marty drew a model of the school library, the total area of the floor is 132 square centimeters, What is the area of the shaded part of the model shown below
Answer:
Step-by-step explanation:
Answer:
The answer is B:72 square centimeters
Step-by-step explanation:
132-60=72
Hope this helps! :)
And have a great weekend!!
Emerson has 25 homework questions for math. He has
already completed 19 of the questions. What percentage
represents the number of homework questions that Emerson
has already completed?
Answer: 76%
The fraction of questions Emerson has completed is 19/25. To convert this to a percentage, we want to write this as something divided by 100. To do so, multiply the numerator and denominator by 4, to get the fraction 76/100. Therefore, Emerson has completed 76% of the homework questions.
If you have access to a calculator, a more efficient way to solve such a question would be to convert 19/25 to a decimal (it is equal to 0.76), and multiply by 100 to get 76%.
3y^2-16y-12 factor by grouping
PLEASE HELP I GIVE BRAINLIEST
Answer: B. Triangle
Step-by-step explanation:
The vertical cross-section of a pyramid is a triangle, and the horizontal cross-section of a pyramid is a square.
Find the value of x to make the following expression true.
3x=729
Answer: x=243
Step-by-step explanation: Long division, 729 divided by 3
Solve for the missing value in the right triangle. Round answer to the tenths place.
4
X
410
B
A
Answer:
Step-by-step explanation:
Susan's balance in her checking account was $155.75.
She spent $89.43 at the grocery store, and $128.04 at
the mall. What is Susan's new checking account
balance after the purchases? Type in your answer
without the '$' sign.
Can someone help me out my grads are bad
Answer:
17 square units
Step-by-step explanation:
5 × 3 = 15 un²
15 un² + 1 un² + 1 un²
17 un²
[tex]\frac{1}{2}+ \frac{1}{10} =\frac{5}{10} +\frac{1}{10} =\frac{6}{10}[/tex]
[tex]\frac{6}{10} =\frac{3}{5}[/tex]
[tex]\frac{200}{9}: \frac{420}{y}[/tex]
200 · y = 9 · 420
200y = 3780
200y ÷ 200 = 3780 ÷ 200
y = 18.9
18.9 gallons
Which transformation can NOT be used to prove that ABC is congruent to DEF?
Answer: it is dilation
Step-by-step explanation: i took the exam
Answer:dialation
Step-by-step explanation:
Determine if the following relation is a function or not
If alex is visiting her moms house and eats a pizza that has 6 triangular pieces, how long would it take for alex’s mom to reach the moon?
Answer:
MY GuYYYY wHat Is ThIS qUeSTioN?!?!?
Step-by-step explanation: I think the answer is green btw
HELP PLEASE
Simplify the expression. Write your answer in positive exponent form:
(8^-5) ^2
Answer:
9.3132257x10^-10
this is the answer
chelsea divided an apple into 8 equal pieces. she ate 5 pieces. she put the other 3 in thw fridge. what friction did chelsea eat?
Answer:
5/8
Step-by-step explanation:
eaten over by total id the answer
Answer:
5/8.
Step-by-step explanation:
which equation represents a line parallel to y= -2x+9
The equation of the parallel line is:
y = -2x + k
such that k ≠ 9.
How to represent the parallel line?
We know that two linear equations are parallel if they have the same slope and different y-intercept.
Then, a parallel line to:
y = -2x + 9
Would be something of the form:
y = -2x + k
such that k ≠ 9.
Then, for example:
y = -2x + 3
Is parallel to the given line.
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Can someone plzzz helpp meeee
Answer:
1) Pelean
2) dormimos
3) vas
4) leo
Step-by-step explanation:
A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.
A prism has a length of l, width of 2, and height of 6 feet.
Given what you know about the figure, complete these sentences.
The area of the square base is
feet2.
The length of the prism is
feet.
The width of the prism is
feet
Answer:
Its 16 4 4
Step-by-step explanation:
if we got the same question then this should be correct :)
Every day after school, Kelly and Bella walk their dogs around the block. The block is 274 meters long and 80 meters wide. What is the perimeter of the bloc
Answer:
708meters
Step-by-step explanation:
Given data
Lenght = 274meters
Width= 80 meters
The expression for the perimeter is
P= 2L+2W
substitute
P= 2*274+ 2*80
P= 548+160
P= 708 meters
Hence the perimeter of the block is 708meters
The Hernandez family built a backyard patio. The width and length of the patio are whole numbers. What could be the dimensions of the patio?
Area = 150 square feet
Answer:
10 x 15 feet
Step-by-step explanation:
Possible answers
1 x 150
2 x 75
3 x 50
5 x 30
10 x 15 seems the most reasonable size for a patio
1. Which of the following does NOT represent a whole number? 9 6.0 12/4 -12/3
the answer is -12/3 cause it's negative
Is this correct????????
Answer:
ummm yes
Step-by-step explanation:
A circular ring has a circumference of 264 cm. What is the diameter of the ring
Answer:
84.03380995252074
Step-by-step explanation:
Diameter = C/π = 264 / π ≈ 264 / 3.141592653589793 ≈ 84.03380995252074 cm