Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition
commutative for addition
22+(m+8)=(m+8)+22 then associative (m+8)+22=m+(8+22) =m+30Answer:
commutative - addition
associative - addition
Step-by-step explanation:
Find the weighted average of these values
Value Weight
5.00 75.0 %
6.00 15.0 %
7.00 10.0 % ...?
To find the weighted average of given values, multiply each value by its weight, sum the results, yielding a weighted average of 5.35.
Explanation:The question is asking to find the weighted average of given values with their corresponding weights. To calculate a weighted average, each value is multiplied by its weight, and then the results are summed up. The formula used is \(Weighted\ Average = (Value_1 \times Weight_1) + (Value_2 \times Weight_2) + \cdots + (Value_n \times Weight_n)\).
Applying the given values and weights:
\(5.00 \times 75.0\% = 3.75\)\(6.00 \times 15.0\% = 0.90\)\(7.00 \times 10.0\% = 0.70\)Summing the results: \(3.75 + 0.90 + 0.70 = 5.35\).
Therefore, the weighted average of these values is 5.35.
The weighted average of the item is 5.35 weight units
The steps used to find the weighted average are as follows;
The weighted average is a technique or method used to find the average of a list of items, where the contribution of each item to the sum of the measurements are different or proportional to a specified measurement of the quantity
The mass and percentage by weight of the items indicates that we get;
The contribution of the item with a value of 5.00 is; 5 × 75% = 3.75
The contribution of the item with a value of 6.00 is; 6 × 15% = 0.9
The contribution of the item with a value of 7 is; 7 × 10% = 0.7
The weighted average of the substance is therefore; 3.75 + 0.9 + 0.7 = 5.35
Two Tibetan monks are having a race along a straight path. They both start at the same time, and the race ends in a tie. Prove that at some time during the race the two monks have exactly the same speed.
How much of the circle is shaded? Write your answer as a fraction in simplest form.
what are the steps to solve
7x − 1/2 (8x + 4) = 6
What is the area of this face ?
Answer: The area of the face is 15 sq. in.
Step-by-step explanation: We are given to find the area of the yellow-coloured face in the figure.
The area of the coloured face is equal to the area of one face of a cube of side 4 in MINUS the area of one face of a cube of side 1 inch.
The area of one face of a cube of side 4 in is given by
[tex]A=\textup{area of a square of side length 4 in.}=4\times 4=16\textup{ sq. in.}[/tex]
and the area one face of a cube of side 1 in is given by
[tex]a=\textup{area of a square of side length 1 in.}=1\times 1=1\textup{ sq. in.}[/tex]
Therefore, the area of the coloured face will be
[tex]Area=A-a=16-1=15\textup{ sq. in.}[/tex]
Thus, the area of the face is 15 sq. in.
The area of the face which is indicated in the figure is 15 in².
Use the concept of quadrilateral defined as:
Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
For big cube:
length of sides = 4 in
Area of one face = 4x4 in²
Area of one face = 16 in²
For small cube:
length of sides = 1 in
Area of one face = 1x1 in²
Area of one face = 1 in²
Since we can see that
The area of one face of a small cube coincides with the face of the big cube.
Therefore,
We have to remove the area of one face of the small cube from the big cube,
So, the area of the face indicated in the figure is,
(16 - 1) in² = 15 in²
Hence,
The area of the required face is 15 in²
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The sum of two consecutive even integers is 234. What is the larger integer?
A. 114
B. 116
C. 118
D. 124
Answer: 118. I took the test
Step-by-step explanation:
A farmer grows two types of grain in his fields. He has a seed budget of $15,000.00 and has spent $5,800.00 to plant wheat seed so far. If barley seed costs $53.00 per acre to plant, what is the maximum number of acres of barley the farmer can plant and still be under budget?
A.283 acres
B.109 acres
C.173 acres
D.174 acres
Answer:
The answer is option D.
Step-by-step explanation:
Total seed budget is = $15000
Amount paid for wheat seeds = $5800
So, amount left is = [tex]15000-5800=9200[/tex]
Now, lets suppose the number of acre of land to be planted by barley seeds be = x
Barley seed costs = $53 per acre.
This means for 53x acres $9200 will be used.
Therefore, [tex]x=\frac{9200}{53}[/tex] = 173.58 acres ≈ 174 acres
The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation. True or False
An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.
. If you saved $2.00 on january 1, $4.00 on february 1, $8.00 on march 1, $16.00 on april 1, and so on. how much money would you save in one year?
By following a pattern of doubling the saved amount each month, the total amount saved in one year would be approximately $8190.00.
Use the concept of geometric sequence defined as:
A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding words. This ratio is regarded as one of the geometric sequence's frequent ratios.
Amount saved on January 1: $2.00
Amount saved on February 1: $4.00
Amount saved on March 1: $8.00
Continuing the pattern, the saved amount on April 1 would be $16.00
Since it can be seen that,
The pattern is that the saved amount doubles each month.
Therefore,
To calculate the total amount saved in one year,
Sum up the amounts for each month.
In this case, it would be
$2.00 + $4.00 + $8.00 + $16.00 + $32.00 + $64.00 + $128.00 + $256.00 + $512.00 + $1024.00 + $2048.00 + $4096.00 = $8190
Hence,
The saved amount in one year is $8190
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Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how much should he put in?
Earl pours 1/3 of a bottle of juice into his glass. Roberto pours 1/3 of the remainder into his glass. What fraction of the bottle of juice is left?
Sam Monte deposits $21,500 into Legal Bank which pays 6 percent interest that is compounded semiannually. What will Sam have in his account at the end of 6 years?
its A=P(1+/n)^nt
Which answer describes the type of sequence?
−99, −88, −66, −55, ...
A. arithmetic
B. neither arithmetic nor geometric
C. geometric
Answer:
b
Step-by-step explanation:
took the test thx to the other answer thought it deserved 5 starts good luck
Choose the function that is a “parent function”.
ƒ(x) = x + 3
ƒ(x) = (x - 3)2
ƒ(x) =
ƒ(x) = |x - 3|
Answer:
F(x)=x+3
Step-by-step explanation:
What are some positive integer and a negative integer?
Answer:
Positive Integers Negative Integers
Are to the Right of zero Are to the left of zero
Are valued greater than Zero Are valued less than zero
Express Ideas of up , a gain or Express Ideas of down or a
a profit loss
The "+" is not always needed The "-" is always needed
Step-by-step explanation:
Hope it Helps
When a diagonal is drawn in a rectangle, what is true of the areas of the two triangles into which it divides the rectangle?
They are called?
Answer:
They would be Equal
Step-by-step explanation:
if we split a rectangle into two triangles it would be the same triangle just flipped!
solve |x + 7| = 12
a. {-19, -5}
b. {-5,19}
c. {-19,5}
d.{5,19}
Use the three steps to solve the problem.
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?
Answer:
It will take 2.5 hours
Step-by-step explanation:
What is the value of x in the following equation:6x+2x=24 ?
A.2
B.3
C.9
D.7
What is the slope of the line represented by the equation y+3=-4(x-5)
A. -4
B. 3
C. -3
D. 4
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?
Answer:
Step-by-step explanation:
B) -5
how many sides does a regular polygon have if each exterior angle measures 30 degree
a square with a side length of x+6 has the same perimeter as an equilateral triangle with a side length of 4x. what is the area of the square
The period of f(x)=cos (2pi/3)x is ...?
Round 37.82 to the nearest tenths place.
How many 1.4 meter sections of rope can be cut from a length of rope 6 meters long?
We can cut a total of 4 sections of 1.4 meters through 6-meter long rope.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Length of rope = 6 meter
Length of section = 1.4 meter
Number of sections = Length of rope ÷ Length of section
Number of sections = 6/1.4 = 4.28 since 0.28 part is not complete section so we will not consider it.
Hence "We can cut a total of 4 sections of 1.4 meters through 6-meter long rope".
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Please help! Find the value of C such that each expression is a perfect-square trinomial.
p^2-30p+c
k^2-5k+c
What is -5/8 times -8 plus 10
Answer:
The answer is 15.