Answer:
1 5/8
Step-by-step explanation:
3/4 - -7/8
3/4 + 7/8
6/8 + 7/8
13/8 = 1 5/8
Answer:
1 5/8 or 13/8
Step-by-step explanation:
Remove parentheses.
[tex]\frac{3}{4}+\frac{7}{8}[/tex]
Find the Least Common Denominator (LCD) of [tex]\frac{3}{4},\frac{7}{8}[/tex] . In other words, find the Least Common Multiple (LCM) of 4,8.
Method 1: By Listing Multiples
List the multiples of each number.
Multiples of 4 : 4, 8, ...
Multiples of 8 : 8, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 8
Method 2: By Prime Factors
List the prime factors of each number
Prime Factors of 4 : 2, 2
Prime Factors of 8 : 2, 2, 2
Find the union of these primes.
2, 2, 2
Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.
LCM = 8
---> LCD = 8
Make the denominators the same as the LCD.
[tex]\frac{3\times 2}{4\times 2}+\frac{7}{8}[/tex]
Simplify. Denominators are now the same.
[tex]\frac{6}{8}+\frac{7}{8}[/tex]
Join the denominators.
[tex]\frac{6+7}{8}[/tex]
Simplify.
[tex]\frac{13}{8}[/tex]
Convert to mixed fraction.
[tex]1\frac{5}{8}[/tex]
Josie is trying to select a green block out of a bucket that has 4 green blocks and 8 other colors. max is rolling a die and is trying to get a 1 or a 2. who has a better chance of getting their desired result?
Answer: Max. Max has a 49% chance of getting a 1 or 2 when Josie only has a 33% chance of getting a green block
............................................................................
14.
If we flip a coin eight times, how many possible sequences of eight coin faces (i.e., heads or tails) can we have?
1,024
512
256
2,048
Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, there are 8 events, each with 2 possible outcomes, hence:
[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]
Hence, the total number of sequences is given by:
[tex]N = 2^8 = 256[/tex].
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Answer:
C) 256
Step-by-step explanation:
Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.
Took the quiz ;)
What is the distance between the two points?
PLEASE HELPPP THANK U SO MUCH
Answer:
396 = 341q-333
Step-by-step explanation:
396 is (396 =)
the quantity q times 341 (341q)
333 subtracted from (-333)
Answer:
341q - 333 = 396
Step-by-step explanation:
multiply q and 341, you get 341q
a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3
therefore your equation will be 341q - 333 = 396
extra information :
341q = 396 + 333
341q = 729
q = 729/341
q = 2.137829912
Tim is 5 feet tall and casts a shadow that is 2 feet long. He stands next to a tree that is 30 feet tall. How long is the shadow the tree casts?
Answer:
12 ft
Step-by-step explanation:
Tim Height: Tim Shadow
5ft : 2ft
Tree Height: Tree Shadow
30ft : ?ft
Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.
Therefore, 2ft x 6 = 12ft
The Tree's Shadow is 12ft.
For function f(x), which pair of limits would verify the existence of a vertical asymptote at x = –1?
This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:
[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]
Limit of a functionFor the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.
Mathematically, the expression below must be true
[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]
This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:
[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]
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Drag the tiles to the correct boxes to complete the pairs.
Match each equation with its solution. Log(x-1)+log5x=2
Answer:
see attached
Step-by-step explanation:
We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.
__
The applicable rules of logarithms are ...
log(a) +log(b) = log(ab) . . . for logs of any baselog(a) = b ⇔ 10^b = aln(e^a) = alog(a) = log(b) ⇔ a = b . . . . for a > 0 and b > 0We can apply these rules to the given expressions to solve for x algebraically.
__
log(x-1) ...Taking antilogs, we have ...
(x -1)(5x) = 10^2 = 100
x(x -1) = 20 . . . . . . . . . . . divide by 5
x² -x -20 = 0 . . . . subtract 20, put in standard form
(x -5)(x +4) = 0 . . . . factor
x = 5 or x = -4 . . . . . . the latter is an extraneous solution
x = 5 only
__
ln(x +5) ...Taking antilogs, we have ...
x +5 = (x +1)(x -1)
x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form
(x -3)(x +2) = 0 . . . . factor
x = 3 or x = -2 . . . . . . the latter is an extraneous solution
x = 3 only
__
e^x² ...Taking natural logarithms, we have ...
x² = 4x +5
x² -4x -5 = 0 . . . . . write in standard form
(x -5)(x +1) = 0 . . . . factor
x = 5 or x = -1 . . . . values that make the factors zero
__
log₄(5x² ...Taking antilogs, we have ...
5x² +2 = x +8
5x² -x -6 = 0 . . . . . write in standard form
(5x -6)(x +1) = 0 . . . . factor
x = 6/5 or x = -1 . . . . values that make the factors zero
_____
Additional comment
A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)
We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.
help me with this PLACE
Draw a quadrilateral that has two 60 degree angles and two 120 degree angles.
Answer:
Step-by-step explanation:
Draw a straight line.
Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees going up and apart.
Then draw the fourth line joining the ends of these 2 lines.
The 2 angles formed will equal 60 degrees.
The quadrilateral formed is a trapezoid.
Complete the table for the equation below
Answer:
-1
2
4
Step-by-step explanation:
You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.
20% of the guest at the party were children. if 15 children attended the party, how many adults attended?
Isaac started an iphone screen replacement business. he charges $15 for each screen his shop replaces. isaac currently employs 4 workers and the shop replaces 43 screens per day. business is good, so he is considering hiring another worker. if he did, the total number of screens his shop can replace each day would be 49. what is the value of the marginal product of labor for the 5th worker? $ ____
Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as
M=$90
What is the value of the marginal product of labor for the 5th worker?Generally, It is the change in value or production that occurs when a new worker is hired.
Therefore, the value of the output from hiring 4 & 5workers
V4= $ 15* 43
V4= $ 645
and V8
V5=$ 15 * 49
V5 = $ 735
In conclusion, the marginal product
M= $ 750 - $ 645
M=$90
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A segment with endpoints at the center and on the circle.
Answer:
The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.
Step-by-step explanation:
What is the mode for the data set?
27, 21, 24, 21, 26, 28, 25, 21, 27, 29, 24
Answer: 21
Step-by-step explanation:
Mode is the value that appears most often in a set of data values.
Write the numbers in your data set from least to greatest.21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29
Count the number of times each number is repeated and identify the value(s) that occur most often. In this case, 21 repeated 3 times.Answer:
The mode for the data set is 21
Step-by-step explanation:
The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5
1 is the mode because there are more 1's than any number in the data set.
Your welcome! ;D
An isosceles triangle has an angle that measures 52°. What measures are possible for the other two angles?
100 and 28 (a lot of others)
Step-by-step explanation:
Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)
Which of the following inequalities matches the graph?
Answer:
y ≥ 1
Step-by-step explanation:
The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.
It indicates that the line equation is:
For various x values, y=-1.
Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.
As a result, the inequality is:
y≥-1
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
Hope this helps
I will give 20 points and maybe brainiest, please help me
Answer:
The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.
Step-by-step explanation:
We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.
Hope this helps:) Goodluck!
If six pounds of pinto beans, priced at $2.00 per pound, are combined with four pounds of lima beans, priced at $3.00 per pound, what is the per-pound price of the resulting bean mix
The per-pound price of the mix must be: P = $2.40 per lb.
What is the per-pound price of the resulting bean mix?
To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.
We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:
6*$2.00 = $12.00
We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:
4*$3.00 = $12.00
Then the total cost of the mix is $12.00 + $12.00 = $24.00
And the the mix has a total mass of 6lb + 4lb = 10lb
Then the per-pound price of the mix must be:
P = $24.00/10lb = $2.40 per lb.
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4w<32
Help about to fail my math class lol
Plot the quadrilateral abcd under a reflection across the y axis
Answer:
the answer is down below
Step-by-step explanation:
Consider the summary statistics from the previous question. The residents pay $0.015 per gallon of usage. What is the standard deviation of the amount paid for monthly water usage
The standard deviation of the amount paid for monthly water usage is $35.25
How to determine the standard deviation?From the summary statistics, we have:
Standard deviation, σ = 2350
Rate = $0.015
The standard deviation of the amount is calculated using:
σ = Standard deviation * rate
This gives
σ = 2350 * $0.015
Evaluate
σ = $35.25
Hence, the standard deviation of the amount paid for monthly water usage is $35.25
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An exam consists of 10 multiple choice questions and 5 open response
questions. Students are responsible for answering 8 of the multiple choice ques-
tions and 3 of the open response questions. How many different ways can a
student complete the exam?
Answer:
I think it's 55
Step-by-step explanation:
10C3 + 5C3
Write 149,597,870,700 in scientific notation with 3 significant figures
Answer:
1.50 x 10^11.
Step-by-step explanation:
There 11 digits after the 1 so it is:
1.50 x 10^11.
(1495 to 3 s. f. is 150)
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
y
5
4
32
2
1
-5 -4 -3 -2 -1 0
-1
-2
Type here to search
လ ရာ
-3
1 2 3 4 5
What is the equation of the blue line?
X
hp
14°C
Answer:
y=4x-3
Step-by-step explanation:
Using y - intercept form:
y=mx+b
Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.
Juan is placing a fence in his yard, he has 15 m of fences and he cuts it
into 4 equal pieces. How long is each piece of fence?
How many milligrams are equal to 63 grams? 63,000 milligrams 6,300 milligrams 630,000 milligrams 630 milligrams
Answer:
63,000 milligrams
Step-by-step explanation:
there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000
Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab
Answer:
AB=5
Step-by-step explanation:
3x-4=5x-10
-4=2x-10
6=2x
3=x
AB= 3(3)-4
9-4
5
Answer:
ab = 5.
Step-by-step explanation:
As the 2 sides are equal in length:
3x - 4 = 5x - 10
3x - 5x = -10 + 4
-2x = -6
x = 3.
So ab = 3x-4 = 3(3)-4
= 5.
What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
I need help! It is for a task.
[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]
Step-by-step explanation:
6q/4 (6g) - q
6(-4)/ 4 [6(1)] - (-4)
-24/4 (6) + 4
-6(6) + 4
-36 + 4
-32
50 points --- will give brainliest
Answer:
Add the fractions together on the right side of the equation.
Step-by-step explanation:
Notice that two fractions on the right side of the equation in the previous step have the same denominator. If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]
Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]
Therefore, the solution is:
Add the fractions together on the right side of the equation