A total 44 pieces can be cut out through the material of stock.
The dimensions of the piece required,
length = 9''
breadth = 4''
thickness = 3/16''
The dimension the the available material pieces in the stock of first piece,
length = 48''
breadth = 12''
thickness = 3/16''
The dimension the the available material pieces in the stock of second piece,
length = 36''
breadth = 28''
thickness = 3/16''
Let say that N pieces can be obtained from these two pieces, So, by calculating area method,
Area of n small pieces = Area of the two stock pieces
N x (9'' x 4'') = (48'' x 12'') + (36'' x 28'')
N x 36''² = 576''² + 1008''²
N x 36''² = 1584''²
N = 1584''²/36''²
N = 44.
So, a total of 44 pieces can be cut out through the material of stock.
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yeah. I'm a need help due tomorrow morning
Answer:
Step-by-step explanation:
I CHECKED UR OTHER ONE CHECK IT PETER :>
Answer:
Ranked least to greatest:
l 125 l
l -127 l
l -132 l
(the absolute value of 125, the absolute value of -127, and the absolute value of -132)
Step-by-step explanation:
Absolute value are the bars around a number that essentially is the distance of that number from ZERO. An easy way to visualize this is through a numberline. Therefore, even negative numbers under the absolute value of, become positive since the distance from zero can't be negative.
Looking at the problem, descending means going down in this case it symbolizes the negative.
So putting absolute value bars around each number we know that the absolute value of 125 is 125.. The absolute value of -132 is 132. The absolute value of -127 is 127.
Ordered from least to greatest we get: 125, 127, 132.
hope that helped! please mark brainliest:)
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Group of answer choices
Subtract 7 from –5.
Multiply 8 and 3.
Divide 7 by 2.
Add 6 and –5.
Answer:
12 24 3.5 1
Step-by-step explanation:
12
24
3.5
1
= 40.5 as your answer
What’s the x intercept of -2x+5y=-30
Answer:(15,0)
Step-by-step explanation:
9x-5x=-12 help pleaseeeeeeee
Answer:
x = -3
Step-by-step explanation:
I assume we're solving for x.
9x -5x = -12
Combine like terms.
4x = -12
Divide both sides by 4.
x = -3
Which of the following is the symbol for element of?
A. ∅
B. ∈
C. ⊂
D. ⊂
The symbol for element of , is B. ∈.
What is set operation?The set operation involves different operation that is been used in solving problems related to set in , mathematics.
It involves the use of different symbol, such as symbol ∪ which is been employed to denote the union of two sets. , instance of this is when set A ∪ B implies that “A union B” and the set that consists of all elements that can be attributed to both A and B.
In conclusion, the symbol ∈ implies that some element belongs to a particular set A , therefore option B is correct.
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the greatest common factor of 6 and 34
what is 3 1/10s = 6 1/5
The solution to the given equality is of s = 2.
What is the equation and what is it's solution?The equation for this problem is given by:
(3 and 1/10) s = 6 and 1/5.
The mixed numbers as decimals are given as follows:
3 and 1/10 = 3 + 1/10 = 3 + 0.1 = 3.1.6 and 1/5 = 6 + 1/5 = 6 + 0.2 = 6.2.Hence the equation with decimal numbers is given by:
3.1s = 6.2
s = 6.2/3.1
s = 2.
The solution to the given equality is of s = 2.
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Using the divisibilty rule put a check on the blank if the second number is a factor of the first number
436 4__
263 12__
2328 8__
346 4__
114 11__
Option (1) and (3) follows the divisibility rule.
The divisibility rule is a kind of shortcut that allows you to determine whether a given integer is divisible by a divisor by looking at its digits without going through the whole division process. Multiple divisibility rules can apply to the same number, allowing you to quickly determine its prime factorization. A divisor of a number is an integer that divides the number completely without leaving a remainder. Divisible by 4 - The number formed by the last two digits of the number must be divisible by 4 or 00. Divisible by 8 - Numbers formed from the last three digits of a number must be divisible by 8 or be 000. Divisible by 11 – The difference between the sums of the alternate digits of the number is divisible by 11. Divisible by 12 - Numbers that are divisible by both 3 and 4.109
(1) 4 [tex]\sqrt{436}[/tex]
-4
036
- 36
0
As the remainder is zero , it is divisible .
(2) 21
12[tex]\sqrt{263}[/tex]
- 24
23
- 12
11
As the remainder is 11 , it is not divisible .
(3) 291
8[tex]\sqrt{2328}[/tex]
-16
72
- 72
08
- 8
0
As the remainder is 0 , it is divisible .
(4) 86
4[tex]\sqrt{346}[/tex]
-32
26
- 24
2
As the remainder is 2 , it is not divisible
(5) 1
11[tex]\sqrt{114}[/tex]
- 11
4
As the remainder is 4 , it is not divisible
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2.7(k - 8) -6.8=-4.1
Answer: k = 9
Step-by-step explanation:
(Add 6.8 to both sides.)
2.7(k-8)=-4.1+6.8
(Simplify -4.1+6.8 to 2.7)
2.7(k-8)=2.7
(Divide both sides by 2.7)
k-8=1
(Add 88 to both sides.)
k=1+8
(Simplify 1+8 to 9)
k=9
A child is 40 inches tall at age 6. For the next few years, the child grows by 2
inches per year. Explain why the child's height after age 6 is a linear function of his age. Identify the
growth rate and initial value. Using t for time in years since age 6 and H for height in inches, find a
formula for H as a linear function of t.
Answer:
H(t) = 43in + (2in/year)*t.
Step-by-step explanation:
im right
Find the value of x.
Answer:
x=8
Step-by-step explanation:
8x-6=58
58+6
64 because u must get rid of numbers for x, but you get rid of numbers father then x
8x=64
64/8
x=8
hope this helps!
Answer:
x=8
Step-by-step explanation:
Write a sequence that has the stated property.
The 2nd difference of the sequence can be modeled with the expression 2x-3.
The sequence that can be modeled by the expression is T(n+1) = Tn + 2x - 3 where n >= 1
How to determine the sequence that can be modeled by the expression?The expression of the first difference is given as
2x - 3
Rewrite properly as
d = 2x - 3
Where the common difference is represented by d
The second difference of an arithmetic sequence is calculated as
d = T3 - T2
So, we have
T3 - T2 = 2x - 3
Add T2 to both sides of the equation
So, we have
T3 = T2 + 2x - 3
Express 3 as 2 + 1
So, we have
T(2+1) = T2 + 2x - 3
Express 2 as n
So, we have
T(n+1) = Tn + 2x - 3 where n >= 1
Hence, the sequence that can be modeled by the expression is T(n+1) = Tn + 2x - 3 where n >= 1
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Find the value of X for the given recatangle
Answer:
x=4
Step-by-step explanation:
2x+2x+3x-5+3x-5=30
10x-10=30
10x=40
x=4
Joe made a scale drawing of the community pool in his town.
The scale drawing is shown below.
If the scale factor is 1in : 7 m
What is the perimeter of the actual pool
The actual length and actual width in meters of the community pool are respectively; 28 meters and 10.5 meters
How to Interpret Scale Drawings?In the scale drawing of Joe as attached, we see that the community pool has a length to width ratio of;
(length : width) = 8 : 3
Let the actual length of the pool be 8x meters and the actual width be 3x meters.
We are told that the actual pool has a perimeter of 77 meters.
Thus;
2(8x + 3x) = 77
22x = 77
x = 3.5
Therefore, the length of the pool is 8x = 8(3.5) = 28 meters.
The width of the pool is 3x = 3(3.5) = 10.5 meters
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Complete Question is;
Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?
x-y/m= x
Solve for y
[tex]x - \frac{y}{m} = x \\ - \frac{y}{m} = x - x \\ \frac{ - y}{m} = 0 \\ - y = 0 \\ y = 0[/tex]
19.
Two trains leave New York traveling in opposite directions. The faster train travels 10mph faster than
the slower train. Find the speed of each train if the trains are 270 miles apart after 3 hours.
Answer:
One train is traveling at 40 mph and the other train is traveling at 50 mph
Step-by-step explanation:
Distance = rate times time
If I add the two rates and times together, I will get the total distance
Train 1
Rate x + 10
Time 3
Train 2
Rate x
Time x
3(x + 10) + 3x = 270 Distribute the 3
3x + 30 + 3x = 270 Combine like terms
6x + 30 = 270 Subtract 30 from both sides of the equation
6x = 240 Divide both sides by 6
x = 40 This is the slower train. Add 10 for the faster train.
solve. |x − 3| − 10 = -5
HELP
Answer: 8
Step-by-step explanation: 8 minus 3 would be 5, subtracting 10 would then get to -5 (simplified)
Please help me 10 Stars granted image attached below
Answer:
(-1/2,0)
Step-by-step explanation:
Determine an equation for each
parallel line described.
What is the equation of a line
parallel to y = -5x + 3 that
passes through (3, 1)?
Answer:
y = -5x + 16
Step-by-step explanation:
Parallel lines have the same slope. The slope is -5. We need to find the y-intercept. We will use the slope(-5) the x (3) and the y (1) to find this.
y = mx + b Plug in what we know
1 = -5(3) + b
1 = -15 + b Add 15 to both sides
16 = b
y = mx + b
y = -5x + 16
The length of a new rectangular playing field is 2 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 574 yards, what are its dimensions?
**"38;%7$८$83;%$87;$8$8#7#*28$८$$8$-$7!%8%-3८3-2"2
I will give brainlist
One third times the difference of thirty and a variable is three fourths.
one third times the quantity 30 minus y equals three fourths
one third times the quantity y minus 30 equals three fourths
one third times 30 minus y equals three fourths
one third times y minus 30 equals three fourths
It should be noted that one third times the difference of thirty and a variable is three fourths will be D. one third times y minus 30 equals three fourths
How to illustrate the information?It should be noted that an expression simply shows that relationship between the numbers and the variables that are explained.
In this case, it should be noted that one third times the difference of thirty and a variable is three fourths will be one third times y minus 30 equals three fourths
Therefore, the appropriate explanation that first the information illustrated is D.
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Answer:
The guy above me is correct its D :)
Step-by-step explanation:
please don't delete this again :)
have a goody day
ma'am or sir
3
A line passes through the point (6, -6) and has a slope of
-3/2
Write an equation in slope-intercept form for this line.
Answer: y= -3/2x+3
Step-by-step explanation:
See attached work
Use properties of exponents to write an equivalent expression. Write the correct exponent for each box.
(6 to the 7th power over 6 to the 5th power)
The correct exponent is 6².
A number's exponent indicates how many times to multiply it. Exponents might also be called powers or indices.
The base number (b) and the exponent (or power) number are both used in the mathematical operation known as exponentiation, abbreviated as bⁿ . It is pronounced "b (raised) to the (power of) n" in English. Exponentiation, where n is a positive integer, is the process of repeatedly multiplying bases; the result is known as bⁿ.
Subtract the exponent of the denominator from the exponent of the numerator to determine the quotient of two numbers with the same base. The (aᵇ)ⁿ = aⁿᵇ exponent power rule applies. Multiply the exponent by the power to raise a number with that exponent to that power.
The given expression is [tex]\frac{6\times6\times6\times6\times6\times6\times6}{6\times6\times6\times6\times6} = \frac{6^7}{6^5}[/tex]
Now we will use the properties of exponents :
6⁷⁻⁵=6²
Hence the required exponent is 6².
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Aiden has 5 pairs of nike shoes, 3 pairs of adidas shoes and 2 pairs of reebook shoes. what is the ratio of nike shoes to adidas?
5+3+2=10
Answer: 10:3
Sana works 40 regular hours per week at a local store. She earns $11.15 per hour and receives time-and-a-half pay
for each hour of overtime she works. Last week she worked 46 hours and received a gross pay of $512.90. This
amount is incorrect. How much does Sana's boss owe her?
Sana's boss owe her $36.60 wages more per week at a local store as a gross pay
Last week Sana worked 46 hours
So let us calculate her wages for the last week
For regular 40 hours she earns $11.15 per hour
Her earning for regulars 40 hours = 40× 11.15 = 446
Now we need to calculate her earning for overtime
She overworked for 46 hours less 40 hours= 6 hours
And for every overtime hour she gets one and a half times the original wages
Her overtime wages= 6 hours × $11.15 ×1.5times
= 6 × 11.15 × 1.5
=103.50
So her total earning of last week should be 446+ 103.50 which comes out to be $549.5
Sana is being paid only $512.90 which means Sana's boss owe her $36.60 more
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is 1.625 greater or less than 1 3/4?
Answer:
less
Step-by-step explanation:
1 3/4 is equal 1.75 so 1.625 is less than 1 3/4
Answer:
I think it's greater than but it could be less than
Step-by-step explanation:
The double number lines show the ratio of feet to miles.
From the double number lines which shows the ratio of feet to miles, there are 15840 feet in 3 miles.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
From the given double number lines, we would apply direct proportion as follows:
10,560 feet = 2 miles
X feet = 1 mile
Cross-multiplying, we have:
X = 10,560/2
X = 5280 feet.
Now, we can determine the number of feet in 3 miles:
3 miles = 5280 × 3
3 miles = 15840 feet.
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Complete Question:
The double number lines show the ratio of feet to miles.
How many feet are in 3 miles?
Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
x2-2x-3
there u go :)
Jay and Ted observed two points, P and Q, on a number line. A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0. Jay said that the absolute values of the numbers represented by the two points are the same. Ted said that the absolute values of the numbers represented by the two points are different. Which of the following explains who is correct? Jay, because each point is fraction 1 over 8 unit from 0 Jay, because the distance between the points is fraction 1 over 8 unit Ted, because the points are on different sides of 0 Ted, because the points are at different locations on the number line
The statement that explains who is correct is "Jay because each point is fraction 1 over 8 units from 0." Option A
This is further explained below.
Which of the following explains who is correct?Generally, Begin from zero and make your way to point P. To do this, we will simply shift our position leftward 1/8 of a unit. In a similar manner, in order to go from 0 to point Q, we will travel 1/8 of a unit.
Therefore, the distance from point P to zero is the same to the distance from point Q to zero.
Since this is the case, the absolute values are identical.
In conclusion, Jay is accurate since each point is 1/8 of a unit distant from 0; this distance may be calculated.
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let f(x) x²+2x-3
g(x) 3x²-x+7
1. find (f+G)(x)
2. find (f-G)(x)
Answer:
Question 1:
[tex]{ \tt{(f +G)(x) = ( {x}^{2} + 2x - 3) + (3 {x}^{2} - x + 7)}} \\ \\ { \tt{ = ( {x}^{2} + 3 {x}^{2}) + (2x - x) + ( - 3 + 7) }} \\ \\(f + G)(x) = { \tt{4 {x}^{2} + x + 4 }}[/tex]
Question 2:
[tex]{ \tt{(f - G)(x) = ( {x}^{2} + 2x - 3) - (3 {x}^{2} - x + 7) }} \\ \\ = { \tt{( {x}^{2} - 3 {x}^{2} ) + (2x - ( - x)) + ( - 3 - 7)}} \\ \\ (f - G)(x) = { \tt{ - {2x}^{2} + 3x - 10 }}[/tex]