Answer:
The first example is adding fractions. The last is Subtraction.
Step-by-step explanation:
The first step is finding the LCD or Least Common Denominator. In this case, we multiply both denominators by each other 2 x 3 = 6 before we proceed.
Secondly, we multiply the bottom denominator on the right (which is three) and multiply it by numerator and denominator on the left.
[tex]\frac{1}{2}[/tex] x 3= Multiply the numerator and denominator and you should get this
[tex]\frac{3}{6}[/tex]
Next multiply [tex]\frac{1}{3}[/tex] by 2. You should get [tex]\frac{2}{6}[/tex]
The final step is just to add the numbers on the very top. You should get [tex]\frac{5}{6}[/tex]
*Also note, pay attention to your question. Some may require decimal form or simplification.
1. [tex]\frac{1}{2} + \frac{1}{3} = \frac{5}{6}[/tex]
2. [tex]\frac{3}{6}[/tex] +[tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]
3. The answer is [tex]\frac{5}{6}[/tex]
_________________________________________
The next example is subtraction.
Find the LCD.
Next, start by multiplying [tex]\frac{3}{5}[/tex] by 3. Penultimately, multiply [tex]\frac{1}{3}[/tex] by 5. Finally, subtract 9-5 to get 4. The answer should be [tex]\frac{4}{15}[/tex]
1. [tex]\frac{3}{5} - \frac{1}{3}[/tex]
2. [tex]\frac{9}{15}[/tex] - [tex]\frac{5}{15}[/tex] = [tex]\frac{4}{15}[/tex]
I WILL GIVE BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Basically, both have a helmet rate of $5/hr. So,
300 +5x and 25x+5x = 30x
The questions specifically wants the purchasing to be lower.
-(-(-(0.75))) =
a. -3/4
b. 3/4
c. -4/3
d. 4/3
solve
(3x) 9 = (4x) 5
Answer:
4 = 1x
Step-by-step explanation:
(3x)9 = (4x)5
9 = (1x) 5
4 = 1x
x - 2/5= 7
find out what x is
Answer:
see below
Step-by-step explanation:
x - 2/5= 7
Add 2/5 to each side
x - 2/5 + 2/5 = 7+2/5
x = 7 2/5
or if
( x-2) /5 = 7
Multiply each side by 5
(x-2) /5 *5 = 7*5
x-2 = 35
Add 2 to each side
x-2+2 = 35+2
x = 37
Answer:
x = 37or
x = 7 ²/₅Step-by-step explanation:
x - 2/5= 7
find out what x is
x - 2/5 = 7
x - 2 = 7 (5)
x - 2 = 35
x = 35 + 2
x = 37
--------
or
x - 2/5 = 7
x = 7 + 2/5
x = 7 ²/₅What is the value of k?
12k+6=4k–8
1.–4
2.–3
3. 3
4. 4
Answer:
4
Step-by-step explanation:
2.15 unit test
If g(x)=4x^2 -8x+3, find g(5)
Simplify using order of
operations.
52 + 3 x 8
P
E
MD
AS
The 2 is squared
Answer:
49
Step-by-step explanation:
Given expression:
5² + 3 x 8
The order of operation is:
P Parentheses
E Exponents
MD Multiplication and Division
AS Addition and subtraction
In this problem, first solve the exponent; 5² = 25
25 + 3 x 8
Now to the multiplication;
25 + 24 = 49
The solution is 49
Five time a number plus nine is less than or equal to six times the number plus 5?
Answer:
1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
Step-by-step explanation:
Find the slope of each line.
Answer:
the slope of that line is 3/4
If the sum of two consecutive even integers ‘a’ and ‘b’ is k, what is the sum of the next two consecutive integers greater than ‘b’ in terms of k?
Answer:
We have two consecutive even integers:
a and b.
We know that we can write a even integer as:
a = 2*n
where n is an integer.
Then the consecutive integer to a, b, will be:
b = 2*n + 2.
Then the sum of a and b is:
a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.
The next two consecutive integers greater than b will be:
c = 2n + 4
d = 2n + 6
then:
c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.
if a=5, b=5 and c=8 what is 3c+bc-2a
Answer:
54
Step-by-step explanation:
8*3+5*8-2*5
24+40-10
64-10
54
Answer:
Here's how to solve this.
Step-by-step explanation:
a=5 b=5 c=8
so
3*8 + 5*8 - 2*5
Well 3*8=24
5*8= 40
2*5=10
Therefore 24 + 40 - 10.
24 + 40= 64
64 - 10= 54
would be your answer.
I hope this helps.
HELPP! What is the difference between the lowest average temperature and the highest average
temperature during the year?
Answer:
11 C is the difference
Step-by-step explanation:
Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each.
Write an equation that represents the total cost, t, of c large cheese pizzas and d large one-topping pizzas.
Answer:
5+6=11
Step-by-step explanation:
:D
Answer:
t=5c+6d
Step-by-step explanation:
5c=cheese pizza cost
6d=topped pizza cost
Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?
Answer:
80 miles per hour
Step-by-step explanation:
320 miles /4 hours = 80 miles per hour
What is the Scale Factor going from the larger figure to the smaller figure?
Answer:
0.25
Step-by-step explanation:
scale factor=md/od
=0.5/2
0.25
8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and organize and store these data in Force: 1,870 1,728 1,656 1,610 1,634 1,784 1,522 1,696 1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,866 1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736 Construct a 95% confidence interval estimate for the population mean force. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)
Answer:
The 95% confidence interval estimate for the population mean force is (1691, 1755).
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.
The sample selected here is n = 30.
Thus, the sampling distribution of the sample mean will be normal.
Compute the sample mean and standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55[/tex]
Construct a 95% confidence interval estimate for the population mean force as follows:
[tex]CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)[/tex]
Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).
How do I find the domain and range?
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all able input values shown on the x-axis. The range is the set of possible output values, which are shown on y-axis
The thickness of a single sheet of paper is about 0.00005 meters. Express this number in scientific notation.
Answer:
5* 10^(-5)m is the scientific notation of 0.00005m.
Over spring break, Shane works as a lifeguard at his community pool.He works 16.25 hours every week of his 2-week break. He puts
2
5
of his earnings toward a new computer. If he makes $13 per hour, how much money does he save for his computer?
Answer:
$169
Step-by-step explanation:
Multiply 16.25 x 2 so you can find how many hours he worked
32.50 hours, so now you multiply that by 13 so you know how much money he earned
$422.50, so now you multiply 2/5 x 422.50
Your answer will be 169 dollars
Answer:
169
Step-by-step explanation:
make a list of all 3 digit numbers using the digit 5, 2, and 6
Solve 2y – 3 = 4y + 6.
ys
Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus
a fixed $16 shipping and handling fee. The marketing director of company A wants to set up a system of equations to find
the number of hats for which the total cost of an order for the two companies is the same. He uses the variables x and y.
He lets y represent the total cost of an order. What will x represent?
O x = total cost of an order
O x = shipping costs for company B
O x = shipping costs for company A
O x= number of hats
Answer:
Its D
Step-by-step explanation:
x represents the number of hats.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee.
Let x be the number of hats and y be the total cost for x hats
For Company A:
per hat charges = 11
charge for x hats = 11 * x
Since, shipping charges = 7
Thus,
Total cost for x hats, y = 11x + 7
For Company B:
per hat charges = 8
charge for x hats = 8 * x
Since shipping charges = 16
Thus,
Total cost for x hats, y = 8x + 16
If the Cost is the same,
11x + 7 = 8x + 16
3x = 9
x = 3
therefore, If we order 3 hats then the cost from both companies will be the same. and x represents the number of hats.
Learn more about the System of equations here:
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For which value of x should the following expression be further simplified?
Answer:
B) x = 6
Step-by-step explanation:
If you try substituting all the numbers (from these options) for x, you'll find that 6 is the only x value that can let the expression be further simplified.
[tex] \sqrt{39 \times 6} [/tex]
[tex] \sqrt{234} [/tex]
[tex] \sqrt{9 \times 26} [/tex]
[tex] \sqrt{9} \times \sqrt{26} [/tex]
[tex]3 \sqrt{26} [/tex]
Is -15 less than -18
Answer:
No it is more
Step-by-step explanation:
531.775197122 to the nearest ten thousandth
Answer: 3266.528
Step-by-step explanation:
The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be = A
Let the rounded number be = B
The value of A is given by
A = 531.775197122
Now , the number A can be rounded of to the nearest ten thousandth place by rounding to the nearest 0.0001 or the Ten Thousandths Place
So , the number will be
The 1 in the ten thousandths place rounds up to 2 because the digit to the right in the hundred thousandths place is 9
When the digit to the right is 5 or greater we round away from 0
Therefore , the number 531.775197122 is rounded to 531.7752
Therefore , the value of B is 531.7752 after rounding up
Hence , The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752
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What fraction is equal to 65%?
Answer:
65/100
Divide is by 100.
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
Answer:
On the inside of the "box" (long division).
Step-by-step explanation:
Whenever you are dividing, the first quotient goes inside the "box", and the second quotient goes on the outside.
(I am not sure what the symbol is called, that is why I called it a box.)
Hope this helps!
Five people bought tickets for the school play for a total of $65.75. If each ticket was the same price, how much was the cost of each ticket?
Answer:
13.15 is ur answer hope this helped!
each ticket costs $13.15
How do you know if the two triangles are congruent. State how
Answer:
Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....
What would the value of X be?
Answer:
47
Step-by-step explanation: