Answer:
2z(2z+1)
Step-by-step explanation:
Write the equation for the area and then factor the polynomial to find the possible expression for the length and width.
A = 4z2 + 2z The GCF of 4z2 and 2z is 2z.
= 2z(2z) + 2z(1) Write the terms as products using the GCF as a factor.
= 2z(2z + 1) Use the distributive property to factor out the GCF. Possible expressions for the dimensions of the wall are 2z m and (2z + 1) m.
The requried expression of the length and width is (2z + 1) and 2z.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
As mentioned in the question, the amount of paint needed to cover a wall is proportional to its area.
The wall is rectangular and has an area of 4z² + 2z square meters. According to the question, we have factored this polynomial to find possible expressions for the length and width of the wall.
So,
Area = 4z² + 2z
Takin common 2z
Area = 2z × (2z + 1)
Comparing the above expression with
Area of rectangle = width × length
From comparison,
Length = (2z + 1)
Width = 2z
Thus, the requried expression of the length and width is (2z + 1) and 2z.
Learn more about Factors here:
https://brainly.com/question/24069312
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Simplify the expression.
7b + 3x − 5b + 21x
A) 2b + 24x
B) 2b − 18x
C) −2b + 24x
D) −2b + −18x
Answer:
A
Step-by-step explanation:
subtract the b's and add the x's
what percent of x is 2y?
please explain
Answer:
Step-by-step explanation:
First, write:
2y
----------
x
and then multiply this result by 100%:
200y
----------
x
suppose a 3-digit number is to be formed using the digits 1,2,3,4,5. How many different numbers can be formed. (digits can be repeated)
Answer:
125
Step-by-step explanation:
For the first digit of our number, we have 5 options (1, 2, 3, 4, 5). For the second and third digits, we still have 5 options because the digits can be repeated. This means that the total different numbers we can make is 5 * 5 * 5 = 125 numbers. Hope this helps!
How many ways can we award a 1st, 2nd and 3rd place prize among eight contestants?
56 ways
none of these
40320 ways
336 ways
Answer:
Total number of ways are 336.
Step-by-step explanation:
It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find [tex]^8P_3[/tex].
Here, r = 3
So,
[tex]^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336[/tex]
So, there are 336 ways.
Which representation has a constant of variation of –2.5? A x –2 –3 –4 –5 y –5 –7.5 –10 –12.5 B 5 x + 2 y = 0 C y = negative 2.5 x + 1 D On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2). A B C D
Answer: The answer would be A.
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
1. Pyramid A is a square pyramid with a base side length of 3 inches and a height of 5 inches. Pyramid B has a volume of 45 in3. How many times bigger is the volume of pyramid B than pyramid A?
A. 2
B. 3
C. 36
D. 12
2. Find the perimeter of a quadrilateral with vertices at C (2, 1), D (2, 4), E (6, 1), and F (6, 4). Round your answer to the nearest hundredth when necessary.
A. 24 units
B. 20 units
C. 16 units
D. 12 units
Use a calculator to find angle theta for which tan theta = 2. Round to the nearest hundredth.
Answer:
in degrees: theta = 63.43°
in radians: theta = 1.11 rad
Step-by-step explanation:
To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.
Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:
atan(2) = 63.435°
So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.
Be sure to check in the calculator if the answer is given in degrees or radians.
In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)
Round the number 5,370,288 to the nearest 100,000
Answer: 5,400,000
Step-by-step explanation:
Since the number in the ten-thousandths place is a seven, you will round up. Disregard any numbers before the ten thousandths place, and round up.
5,400,000 is the final answer.
Step-by-step explanation:
5,370,288
^
That is the thousands place.
Since 7 is higher then 5 then 3 would turn to 4
5,400,000 is the answer.
f(x) = 2x-1
What is f13)?
Answer:
35
Step-by-step explanation:
Substitute 13 for x
f(13) = 2 (13) -1
= 36 -1
= 35
Which equation can be used to find 60 percent of 50?
60x2 120
50 x 2 100
=
50-150
60-1 60
60=2
100-2
30
50
100x2
50 x 2
200
100
Answer:
the answer is 30
Step-by-step explanation:
im not sure of these equations but the answer is definitely 30.
you can get the answer of 60% of 50 by using a calculator and entering
.60 x 50 = 30 hope this helps
Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10
Answer:
28 + 2/10 + 4/100
Step-by-step explanation:
28.24
28 ones plus 2 tenths plus 4 hundredths
28 + 2/10 + 4/100
Find the total surface area of this object
Tammy has ridden 54 miles of a bike course. The course is 60 miles long. What percentage of the course has Tammy ridden so far?
Need help with this pls!!
(Show work pls)
Answer:
marks wage is 12$ and he earned 72$
Stevens wage is 15$ and earned 75$
Step-by-step explanation:
[tex]5(x+3)+6x=147\\5x+6x+15=147\\11x=132\\x=132/11\\x=12[/tex]
The ratio of girls to boys in a student basketball league is 5:6. Choose True or False for
each statement.
a. For every 5 girls in the league, there are 6 boys.
True or False
b. For every 6 girls in the league, there are 5 boys.
True or False
C. There are exactly 11 students in the league.
True or False
d. The ratio of girls to total students in the league is 5:11. True or False
Answer:
true
false
true
true
Step-by-step explanation:
correct me if i am wrong
solve the diagram below to write an equation and solve for x.
Answer: The equation is (3x) + (2x + 20) + (x+10) = 180, and the x = 25.
Step-by-step explanation:
First, you know that all the measures of angles equal 180°.
So, we can make this equation:
(3x) + (2x + 20) + (x+ 10) = 180
Then, solve for x:
3x + 2x + 20 + x + 10 = 180
Combine the like terms that have the variable, x, in them:
6x + 20 + 10 = 180
Now combine the constant numbers:
6x + 30 = 180
Next, subtract 30 from that side:
6x = 180 - 30
6x = 150
Then, divide:
[tex]\frac{6x}{6}[/tex]= [tex]\frac{150}{6}[/tex]
x = 25
Therefore, the equation is (3x) + (2x + 20) + (x +10) = 180, and the x is 25.
Hope this helps! :)
Answer:
x = 25°
Step-by-step explanation:
Hello!
The sum of angles in a triangle is equal to 180°. If we add all the measures and set it to 180°, we can solve for x.
Solve for x3x + 2x + 20 + x + 10 = 1806x + 30 = 1806x = 150x = 25The value of x is 25°.
I will give you brainliest if you answer this.:)
Answer:
84- please give me Brainliest
Step-by-step explanation:
4 x 3 x 4 : 48
6 x 3 x 2 is 36
48 plus 36 is 84
if 3 kg of flour needs 4 1/2 cups of sugar how much is 4 kg Of flour
Answer:
This is the formula of how to answer this question hopefully it helps :)
Sugar = Flour
A cup of sugar weighs about 7 ounces, and a cup of all-purpose flour weighs about 4-1/2 ounces. So, if we're building a recipe with 1 cup sugar, we'll need about 1-1/2 cups flour (about 6-3/4 ounces).
Step-by-step explanation:
Elizabeth flipped a coin 30 times. The coin landed heads up 18 times and tails up 12 times. What was the experimental probability of getting HEADS in this trial? Was the experimental probability greater than or less than the theoretical probability?
0 points
9/15; greater than
9/15; less than
6/15; greater than
6/15; less than
NEED HELPP
Answer:9/15 greater than
Step-by-step explanation:
Because 18/30 simplified is 9/15 and 18 is greater than 12
write an equation and solve round to the nearest hundredth where necessary. 21 is 35% of what number
Answer:
21 is 35% of 60.
35% * x = 21
Multiply both side by 100 and divide both sides by 35.
x = 21 * 100/35
21 * 100 = 2100
2100/35 = 60.
oml there it let me actually answer this time :)
Step-by-step explanation:
What is the equation of the line in the slope intercept form
Answer:
Equation of line; y = - 6x
Step-by-step explanation:
As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;
At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;
If this equation is in slope - intercept form ⇒
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
Equation of line; y = - 6x
Answer:
y = -6x
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
the y intercept is 0 since it crosses the y axis at 0
To find the slope we need to points (0,0) and (10,-60)
m = (y2-y1)/(x2-x1)
= (-60-0)/(10-0)
= -60/10
= -6
The equation for the line is
y = -6x +0
y = -6x
(4n^5y^2)(-6n^2y^-5)
Answer: ( -23•3n4y7)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((4•(n5))•(y2))•((0-((2•3n2)•y))-5)
Step 2 :
Equation at the end of step 2 :
(22n5 • y2) • (-6n2y - 5)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-6n2y - 5 = -1 • (6n2y + 5)
I need the big brain help and maybe mark brainliest
:)
Answer:
the last two
Step-by-step explanation:
1 is less than 3
and any negative is less than a positive
A locker combination has three nonzero digits, and the digits cannot be repeated. The first two digits are 1 and 2. What is the probability that the third digit is 3?
Answer:
Approximately 14% or 1/7
Step-by-step explanation:
To solve this problem, first find the ratio of 3 to the possible numbers.
There are 9 possible digits in one space on a non-zero combination lock. However, digits cannot be repeated, and 1 and 2 are already taken. Therefore, there are 7 possible digits (9 - 2 = 7). Therefore, the ratio of getting a 3 to possible digits is 1:7, as there is 1 '3' and 7 others.
As a fraction, 1:7 is 1/7. As a percentage, 1/7 is about 14%. Therefore, there is approximately a 14% chance that the third digit will be 3.
Consider this composite figure.
Answer the following steps to find the volume of the
composite figure.
What is the volume of the 3 mm-tall cone?
v=1
ys mm
13 mm
2 mm
What is the volume of the cylinder?
V= v mm
4 mm
What is the volume of the 1 mm-tall cone?
V= v mm
!1 mm
What is the volume of the composite figure?
V=
mm
Answer:
20π+4π/3
Step-by-step explanation:
Volume of a cone:
[tex]\pi r^{2} \frac{h}{3}[/tex]
r=2
h=3
Volume = 4π
Volume of a cylinder:
[tex]\pi r^{2}h[/tex]
r=2
h=4
Volume = 16π
Cone: Same formula
r=2
h=1
Volume = 4π/3
Figure: Add them up.
20π+4π/3
Answer:
volume of cone 1: 4(pi) mm^3
volume of cone 2: 4/3 (pi) mm^3
volume of cylinder: 16(pi) mm^3
volume of total: 64/3(pi) mm^3
Step-by-step explanation:
got it right on Edge May 2021. also sub to Troy's Movies on yt
Math!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:c,d
Step-by-step explanation:
HELP
If the radius of a circle is 17 cm, then the diameter of the circle is 34 cm. If the diameter is 34 cm, then circumference of the circle is approximately 107 cm. Determine if both statements are TRUE or FALSE.
Answer:true
Step-by-step explanation:
I need brainlest
To slide the graph of the equation y=3^x two units left, the equation is altered. What is the new equation?
Answer:
I think the answer would be B
Step-by-step explanation:
What explicit expression can be used to find the next term in this
sequence? 2, 8, 18, 32, 50, ...*
Answer:
Step-by-step explanation: 72
Please help me with this make sure to do everything it’s asking because I have no clue how to do this please look at the image to know what you are doing I need question 2 and 3 done for this work sheet if you can please attach a picture of how you did this
Answer:
2b. 3(2-x)
2c. add the 5x-10
5(x-2)
3.its suppose to be 12x+3=3(4x+1)
3(4x+1)=12x+3
Step-by-step explanation: