Hi there! :)
Answer:
[tex]\huge\boxed{6}[/tex]
Let "x" represent a number.
Adding the number to itself gives us x + x, or 2x.
Multiplying by 3 gets 36, therefore:
36 = 3 · 2x
Simplify:
36 = 6x
Divide both sides by 6:
36/6 = 6x/6
x = 6.
Complete the statements about the associative property and equivalent expressions.
The associative property allows us to change the grouping of the factors that are multiplied together to create ________
1. equibalent expression
2. operations
3. parentheses
4. variables
When changing the grouping, the order of the factors stays the same; only the change position.
The expression______ is an equivalent expression to w(xy)z.
1. w+x+y+z
2. w+xy+z
3. (wx)yz
4. wx + yz
The expression ________ is also an equivalent expression to w(xy)z.
1. 2wx(2yz)
2. wx(yz)
3. wx + yz
4. z+y+x+w
Answer:
1,3,3,2
Step-by-step explanation:
hope this helps :)
The required solutions are,
1. operations.
2. w(xy)z.
3. w(xy)z
The associative property is a mathematical principle that states that the grouping of operations or factors does not affect the final result of a calculation, as long as the order of the terms remains the same.
Here,
The associative property allows us to change the grouping of the factors that are multiplied together to create 2. operations.
When changing the grouping, the order of the factors stays the same; only the position changes.
The expression 3. (wx)yz is an equivalent expression to w(xy)z.
The expression 2. wx(yz) is also an equivalent expression to w(xy)z.
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There are (32)4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish?
The total number of bacteria in the dish is 31457280
How to determine the total number?The expression is given as:
Total = (32)^4 * 30
Start by evaluating the exponent
Total = 1048576 * 30
Next, evaluate the product
Total = 31457280
Hence, the total number of bacteria in the dish is 31457280
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Answer:
A (3^8)
Step-by-step explanation:
I have this question on my test. I'm just assuming the person didn't put ^.
(3^2)^4 times 3^0
PLEASE HELP!!!! Rearrange the equation so n is the independent variable. m + 1 = -2(n+6)
Answer:
m+13/-2 = n (m plus 13, divided by negative 2 equals n)
Step-by-step explanation:
m+1 = -2(n+6)
distribute -2
m+1 = -2n-12
add 12 to both sides
m+1 = -2n-12
+12 +12
with that you get
m+13 = -2n
next you divide -2 from both sides
m+13
-------- = n
-2
what is 4n- 3n someone plase help :(
Answer:
n
Step-by-step explanation:
4n-3n=1n
1n=n
Jana ran every day for 8 days.
•She ran a total of 50 miles
•She ran the same number of miles each day.
A. 4/25
B. 25/4
C. 8/25
D. 25/8
Answer:
B. 25/4
Step-by-step explanation:
to calculate how many miles Jana ran everyday, divide the total distance by number of days
50/8
simplify, 25/4
the answer is B
how do you solve
2/5x+10=0
Answer:
x = -25
Step-by-step explanation:
Step 1: Write out equation
2/5x + 10 = 0
Step 2: Subtract 10 on both sides
2/5x + 10 - 10 = 0 - 10
2/5x = -10
Step 3: Multiply both sides by 5/2
5/2(2/5x) = -10(5/2)
x = -50/2
x = -25
A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the crew has worked. Suppose that L=3D+200 gives L as a function of D. The crew can work for at most 90 days. Identify the correct description of the values in both the domain and range of the function. Then, for each, find the most appropriate set of values. PLEASE PLEASE PLEASE HELP!!! I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the crew has worked. Suppose that =L+4D200 gives L as a function of D . The crew can work for at most 70 days. =L+4D200 is not clear, not an equation.on:
Solve the equation
(If possible please show work)
Answer:
[tex]n=-4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2+4(2-3n)=58[/tex]
First, distribute the second term:
[tex]2+4(2)-4(3n)=58\\2+8-12n=58[/tex]
Add the left side:
[tex]10-12n=58[/tex]
Subtract both sides by 10. The left side cancels:
[tex](10-12n)-10=(58)-10\\-12n=48[/tex]
Divide both sides by -12. The left side cancels:
[tex](-12n)/-12=(48)/-12\\n=-4[/tex]
Therefore, the value of n is -4.
⇒2 + 4(2 - 3n) = 58
⇒4(2 - 3n) = 58 - 2
⇒2*4 - 3n*4 = 56
⇒8 - 12n = 56
⇒-12n = 56 - 8
⇒-12n = 48
⇒-n = 48/12
⇒-n = 4
⇒n = - 4
Hence, value of n is - 4
Enter the equation of the circle in standard form with center and radius given.\\\\\\\\\\\Center (8,0), radius = sqrt 3///////////
Answer:
(x - 8)^2 + y^2 = 3.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Here h = 8, k = 0 and r^2 = (√3)^2 = 3
The answer is (x - 8)^2 + (y - 0)^2 = 3
or (x - 8)^2 + y^2 = 3.
represent 8/5 on number line
Answer:
Step-by-step explanation:
--------|--------|---------|------||----|--------|---------|--------------------->
-1 0 1 5/8 2 3 4 ∞
steps to solve x/8-5=-1
Answer: x = 32
Step-by-step explanation:
x/8 - 5 = -1
Add 5 both sides : x/8 = 4
Multiply both sides by four: x=4 times 8
can someone please help me.
-280=-7(6a-8)
Answer:
a=8
Step-by-step explanation:
-280=-7(6a-8)
Distribute
-280=-7*6a-7+-8
-280=-42a+56
Subtract 56 from both sides
-336=-42a
Divide both sides by -42.
a=8
Which of the following illustrates the truth value of the given conditional statement?
If dogs have five legs, then cats have three tails.
A.) F F → T
B.) T T → T
C.) T F → F
D.) F T → T
Correct Answer: A) F F → T
I did the assignment and got it right, trust me.
How would you solve this?
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
I’ll give you 30 points if you help
Answer:
2, -2
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x - 3
To find g(f(x)), you need to put f(x) into g(x).
g(f(x)) = (2x + 1) - 3
g(f(x)) = 2x + 1 - 3
g(f(x)) = 2x - 2
Your answer will be 2 and -2.
What is the next step when solving the following equation?
8x + 8-6 = 60 - 24x - 20
8x + 2 = 40 - 24x
8x + 24x + 2 = 40 - 24x + 24x
32x + 2 = 40
Answer:
8x + 2 = 40 - 24x
Step-by-step explanation:
8x + 8-6 = 60 - 24x - 20
Next step is simplification and is:
8x + 2 = 40 - 24xThe following steps:
8x + 24 x + 2 = 4032x + 2= 4032x = 40 - 232x = 38x = 38/32x = 19/16Find the solutions to 8x^2-56x=0 check all that apply
Answer:
[tex]\boxed{ x = 0 \ \ OR \ \ x = 7}[/tex]
Step-by-step explanation:
[tex]8x^2 -56 = 0[/tex]
Greatest common factor = 8x
=> [tex]8x(x-7) = 0[/tex]
Setting results equal to 0
Either:
8x = 0 OR x-7 = 0
x = 0 OR x = 7
Answer:
x= 0 or 7
Step-by-step explanation:
if you factor out the equation by 8, you get 8x(x-7)=0, which if you simplify that, gets you 0 or 7.
The expression s² is used to calculate the area of a square, where s is the sidelength of the square. What does the expression (8x)² represent?A.The area of a square with a side length of 8b.The area of a square with a side length of 16c.The area of a square with a side length of 4xd.The area of a square witha side length of 8x
Answer:
Step-by-step explanation:
s^2 represents the area of a square whose side length is s.
(8x)^2 represents the area of a square whose side length is 8x.
Find the volume and total surface area of the composite figure below.
Answer:
Volume = 6467.492mm³
Surface area = 1332.035mm²
Step-by-step explanation:
volume of a cone is [tex]\pi[/tex]r²h. V=[tex]\pi[/tex]10²(24)=7539.822mm³
volume of a sphere is 4/3[tex]\pi[/tex]r³. V=4/3[tex]\pi[/tex](8³)=2144.66mm³
Since it's a half of a sphere, it would be 1072mm.33³
7539.822-1072.33=6467.492mm³
Surface area of a cone is [tex]\pi[/tex]r(r+√h²+r²)=1130.97
area of a circle= [tex]\pi[/tex]r²=201.06
surface area of a sphere is 4[tex]\pi[/tex]r²=804.25
Since it's a half sphere, it would be 402.125
1130.97-201.06+402.125=1332.035mm²
Are the fractions 1/4 and 3/12 common denominators?
Answer:
No
Step-by-step explanation:
Common denominators are the same number. Since 1/4 has a denominator of 4 and 3/12 has a denominator of 12 they are not the same, and therefore are not common denominators.
Answer:
no
Step-by-step explanation:
3x+1=43 but you have to regroup/ divide the number next to x
Answer:
x = 14
Step-by-step explanation:
3x+1=43
Subtract 1 from each side
3x+1-1=43-1
3x = 42
Divide by 3
3x/3 = 42/3
x =14
Answer:
x =14
Step-by-step explanation:
Steve took his remote controlled submarine to the pond. His submarine sank 19 out of 25 boats. What percentage of the boats were still afloat?
Answer:
24%
Step-by-step explanation:
1) 25-19=6
2) 6/25 x 100 = 24%
How to do this question plz answer my question
Answer:
$121.82
Step-by-step explanation:
Okay, this is kind of complex, so let's go step by step.
First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so [tex]45\cdot100=4500[/tex] m² is the area of the rectangle.
However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).
The area of a circle is represented by the formula [tex]\pi r^2[/tex]
The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.
First circle's radius: [tex]20\div2=10[/tex]
Second circle's radius: [tex]10\div2=5[/tex]
Third circle's radius: [tex]5\div2=2.5[/tex]
Now let's find the area of each circle.
First Circle: [tex]\pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314[/tex]
Second Circle: [tex]\pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5[/tex]
Third Circle: [tex]\pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625[/tex]
Adding all of these values gets us 412.125.
Now we can subtract from this from 4500 to get us 4087.875
If the grass seeds that cost £1.49 cover 50m² each, then we need [tex]4087.875\div50=81.7575[/tex] bags.
Each bag costs £1.49, so the total cost is [tex]81.7575\cdot1.49\approx121.82[/tex]
Hope this helped!!
Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into 3 pieces (head, body and tail) in order to weigh it. The tail weighed 9kg and the head weighed the same as the tail plus one third of the body. The body weighed as much as the head and tail together. How much did the whole fish weigh?
Answer:
54kg
Step-by-step explanation:
Body weight = B
Tail weight = T
Head weight = H
Total weight = F
Use equation = B + T + H = F
We are told that T = 9kg, H = T + (1/3) x B, B = H + T
We have 3 equations and 3 unknowns, solve the system of equations to find W.
B = H + 9
H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12 --> H = 18
B = 18 + 9 = 27
F = 18 + 27 + 9 = 54kg
Solve the following by opening the parenthesis and then applying MDAS. 52−{32+[9−(4−3)]}
Answer:
40
Step-by-step explanation:
4-3=1
9-1=8
32+8=40
52-40=12
12 is your final answer
Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data. Y=?
Answer:
y = 8x - 6
Step-by-step explanation:
find the common difference (+ or -) / ratio (x or ÷)
34 - 26 = 8
42 - 34 = 8
50 - 42 = 8
58 - 50 = 8
the common difference is 8
y = 8x + b
plug in an (x, y) value to find b
(7, 500
50 = 8(7) + b
50 = 56 + b
b = -6
y = 8x - 6
Suppose a population consists of 50,000 people. Which of the following
numbers of members of the population being surveyed could result in a
sample statistic but not a parameter?
A. 500
B. Both 500 and 50,000
C. Neither 500 nor 50,000
D. 50,000
SUB
Answer:
500
Step-by-step explanation:
Parameter= whole population
Sample statistic= outcome of part of population surveyed
Consider the difference of cubes identity: a3 − b3 = (a − b)(a2 + ab + b2). For the polynomial x3 − 64, a = and b =
Answer:
a= x, b= 4
Step-by-step explanation:
a³ − b³ = (a − b)(a² + ab + b²)x³ - 64Comparing polynomials:
a³= x³ ⇒ a = xb³= 64 ⇒ b³ = 4³ ⇒ b= 4Applying same formula:
x³ - 64 = (x- 4)(x² + 4x + 16)Given x=-3, y=6, and z=-4 xz/-2y
Answer:
-1
Step-by-step explanation:
sub in the values of x, y and z into the equation
you get:
(-3)(-4)/(-2)(6)
= 12/-12
= -1
Answer: -1
Step-by-step explanation:
xz/-2y, given x=-3, y=6, and z=-4
------------
xz/-2y
=(-3)(-4)/-2(6) ⇔ substitute x y and z value
=12/-12 ⇔ calculate it
=-1 ⇔ simplify fraction
Hope this helps!! :)
Please let me know if you have any question
A triangle has side lengths of (8.1t-6.1)(8.1t−6.1) centimeters, (8.1t+7.1)(8.1t+7.1) centimeters, and (3.4u+1.9)(3.4u+1.9) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(16.2t+3.4u+2.9)cm
Step-by-step explanation:
A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm