5. Simplify the complex fraction. a.-2/7
1 1/3
Answers
The simplification of the complex fraction is found as 11/14.
Define complex fraction/mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that. Step 1: Multiply the mixed fraction's denominator by the whole number component.Step 2: Increase the product from Step 1 by the numerator.Step 3: In the numerator/denominator form, write the improper fraction using the total from Step 2.For the given question, the expression is-
-2/7 + 1 1/3
To convert mixed fraction 1 1/3 i improper fraction, multiply 3 with 1 and add 1.
1 1/3 = 1 x 3 + 1 /3
1 1/3 = 4/3 Put in main equation.
-2/7 + 4/3
Simplify the expression.
= -2 x 3 + 4 x 7/ (7 x 4)
= -6 + 28 / 28
= 22/28
Divide both with 2
= 11/14
Thus, the simplification of the complex fraction is found as 11/14.
To know more about the mixed fraction, here
https://brainly.com/question/414559
#SPJ13
The correct question is
Simplify the complex fraction.
-2/7 + 1 1/3
Related Questions
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she
sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can
be used to find m, the number of books Rachel sold on Monday.
Equation:
Answers
Answer:
m +2m +(2m -6) = 19
Step-by-step explanation:
m = number of books sold on Monday.
2m = number of books sold on Tuesday, twice as many as Monday.
2m -6 = number of books sold on Wednesday, 6 fewer than Tuesday.
The total number of books sold on the three days gives the equation you're looking for:
m +2m +(2m -6) = 19
_____
Additional comment
Solving this gives ...
5m = 25 . . . . add 6
m = 5 . . . . . divide by 5
5, 10, and 4 books were sold on the three days.
Sharon made a scatterplot comparing the shoulder heights of dogs to their weights.
120
110-
100
90
80
Weight (pounds)
70
60
50
40-
30
20
10
2 4
6
8 10 12 14 16 18 20 22 24 26 28 30
Height (inches)
Sharon's dog has a shoulder height of 28 inches. Using a linear model, which is the best prediction of her dog's weight?
A 85 pounds
B 90 pounds
C105 pounds
D 120 pounds
Answers
Answer:
105
Step-by-step explanation:
Answer:
I think 105 and it is this because it is correct try the answer. ✅
There are 700 pupils in a school. The ratio of girls to boys is 3:4. How many girls are there?
Answers
Answer:
300
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7 parts
Divide the total by 7 to find the value of one part of the ratio.
700 ÷ 7 = 100 ← value of 1 part of the ratio, thus
3 parts = 3 × 100 = 300 ← number of girls
4 parts = 4 × 100 = 400 ← number of boys
PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
Answers
The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm
Calculating the area of the composite figureThe sector area
The area of the sector is calculated as
Area = x/360 * πr²
Where
r² = 8² + 6²
So, we have
r² = 100
This means that
Area = 82/360 * π * 100
Evaluate
Area = 71.55
The triangle area
This is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 6
Evaluate
Area = 24
So, the area of the figure is
Figure = 24 + 71.55
Figure = 95.55
Hence, the area is 95.55
Read more about area at
https://brainly.com/question/22972014
#SPJ1
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answers
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
PLEASE HELP!!!!!!!!!!!!!!
The hypotenuse of a right triangle measures 3√15 centimeters and its shorter leg
measures 3√6 centimeters. What is the measure of the larger acute angle of the triangle?
Round your answer to the nearest tenth of a degree.
Answers
Answer:
angle = 50.8° (to the nearest tenth of a degree)
Step-by-step explanation:
In a right triangle:
The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.We have been given the measures of the shorter leg and the hypotenuse, so the angle between them is the larger acute angle (which we need to find).
shorter leg = 3√6 cm
hypotenuse = 3√15 cm
So to find the angle, we need to use the trig ratio: \(cos(\theta)=\frac{adjacent}{hypotenuse}\)
If \(\theta\) is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.
Substituting the given values:
\(cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }\)
⇒ \(\theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..\)
Therefore, the angle = 50.8° (to the nearest tenth of a degree)
8/5÷6=
i need help on this
Answers
Answer:
2 forms
Step-by-step explanation:
hope this helps <3
\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)
\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)
\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)
\( \sf \longrightarrow \: \frac{30}{8} \\ \)
\( \sf \longrightarrow \: \frac{8}{30} \\ \)
\( \sf \longrightarrow \: 0.26 \\ \)
_____________________________
I WILL givee brainliesttt
Answers
explanation: t
PLSSSS I NEED HELP
Evaluate 35a when a=7.
Answers
Answer:
\(35x \\ 35 \times 7 = 245\)
Answer:
245
Step-by-step explanation:
All you have to do is replace a with 7.
So, 35a=35*7= 245
if there are 3 red and 2 blue marbles, find the probability of getting 2 red marbles, with replacement.
Answers
Answer:
9/25 or 36%
Step-by-step explanation:
3/(2+3)= 3/5 chance of drawing a red marble
(3/5)*(3/5)=9/25 chance of drawing 2 red marbles with replacement because you are drawing TWO times.
Please help me out‼️‼️‼️‼️〽️
Answers
We can see that the dot plot is seen below.
What is a dot plot?We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.
Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.
Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.
Learn more about dot plot on https://brainly.com/question/15853311
#SPJ1
The Peel District School Board is one of Canada's largest public school boards. It serves the 776 square kilometers of Peel Region with schools in Mississauga, Brampton and Caledon. Peel District School Board serves a total of 232 schools; 196 elementary and 35 secondary schools. Enrolment in September 2007 was 105,549 elementary students and 44,068 secondary students. The Board currently employs 9,900 academic staff and 3,300 business and support staff. It hired more than 850 new teachers in 2006-07 to keep up with rising enrolment and replace retiring teachers. As HR analyst for the PDSB, your focus is the organization's Secondary School Division. You need to determine (1) the total number of positions that will require replacement over the next one-year period and (2) the impact these opening will have on the current employees' movements throughout the division. The PDSB has a strong "promote from within" policy for all vacancies above the entry level. The Secondary School Division does not have any personnel in authority levels 1 or 2. The most senior position in the Secondary School Division is at Level 3 (Secondary Division Superintendent). Based on information from the Board's enrolment system and HRIS, you know the following: 1. Historical annual loss rates include the following: a. Retirements (requiring replacements): Levels 3 and 4 = none. Level 5 = 5% of positions at start of period. Levels 6, 7 and 8 = 10% of positions at start of period. b. Attrition (voluntary and involuntary exits): Levels 3 and 4 = none. Levels 5 and 6 = 3% of positions at start of period. Levels 7 and 8 =2% of positions at start of period. 3. The number of positions at the start of the 2006-07 school year are as follows:Level 1 (Director) = 1 Level 2 (Assistant Director) = 4 Level 3 (Secondary Division Superintendent) = 1 Level 4 (Area Superintendent) = 5 Level 5 (Principal) = 35 = Level 6 (Vice Principal) = 105 Level 7 (Department Head) = 350 Level 8 (Teacher) = 2410 Your task: 1. Use the information above to calculate the number of positions to be filled in the next year. Show your calculations and results in the first table form provided. An example is provided on page 153 of the textbook. 2. Use the information from the "Positions to be filled" column of the first table to complete the second table form. Show the number of employee movements caused by promotions to fill the identified vacancies. See the example on page 153 of your textbook. Organize the numbers in columns like the example
Answers
The HR analyst for the Peel District School Board needs to determine the number of positions to be filled and their impact on current employees in the Secondary School Division.
Based on historical loss rates, the number of positions to be filled in the next year are as follows:Level 5: 1.75 (5% of 35)
Level 6: 10.5 (10% of 105)
Level 7: 7 (3% of 350)
Level 8: 48.2 (2% of 2410)
Total: 67.45 or approximately 67 positions to be filled
2. Table of employees is attached as an image
Note: The numbers in each cell represent the number of promotions from the row position to the column position and the percentage. For example, 48.2 Level 8 teachers will be promoted to Level 5.
To learn more about percentage Click here:
brainly.com/question/28269290
#SPJ4
how do you turn 372800 into scientific notation
Answers
Answer:
3.78x10^5
Step-by-step explanation:
Help me help me help me help me plz on number 7 plz
Answers
Answer:
obtuse
Step-by-step explanation:
There are 946 milliliters in a quart. There are 2 pints in a quart.
How many milliliters are in a pint?
Answers
Answer:
473
Step-by-step explanation:
I divided 946 and 2 and got 473. I'm not 100 percent this is correct but whatever
What is the value of x?
4x=5x–12
Answers
Answer:
x=12
Step-by-step explanation:
I just know
Answer: 12
Step-by-step explanation: The value of x is 12
1. subtract 5 from both sides, 4x-5 and 5x-5
2. combine like terms
3. divided by -1
4. you get 12
What’s the mean of 46,57,66,63,49,52,61,68
Answers
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
the answer 57
i’m begging someone help please i’ll give brainlist
Answers
Answer:
a-no for the first triangle, because the total of the inner angles must be 180, the last angle must be 90.
b-yes- a triangle with angles 90, 50, and 40 is possible
c-yes. 65+45+70=180.
Step-by-step explanation:
Two numbers are called relatively prime if their greatest common divisor is $1$.
Grogg's favorite number is $10!$, the product of the integers from $1$ to $10$. (He pronounces it TEN!)
What is the smallest integer greater than $800$ that is relatively prime to Grogg's favorite number?
Answers
Answer:
Two numbers are called relatively prime if their greatest common divisor is $1$. Grogg's favorite number is the product of the integers from $1$ to $10$
Answer: The answer is 803. :) lol
Step-by-step explanation:
You gotta keep trying numbers. But the numbers cant be even because if it's even, it can be divided by 2! Try the odd numbers starting at 800. If the number is not divisible by any of the numbers from 1-10 then it's the correct number. Got it on my second try. LOL! I'm from AOPS like you. :) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
6. Trevon proposed a field trip for 10 students and 2 chaperones. Trevon calculated that he would need 2.4cars to transport the students to the field trip. Does Trevon's answer make sense? If so, explain why. If not,give a better answer and explain why yours is better.
Answers
ANSWER:
For the trip proposed by Trevon, in attendance would be 10 students and 2 chaperons. That makes a total of 12 individuals. Trevon's calculation of 2.4 cars is faulty because you cannot have a car as a fraction. A car must be a whole number. This means Trevon cannot use 2.4 cars.
A better solution would be to assign up to 4 persons per car, which means Trevor should arrange for 3 cars to convey all 12 persons.
Therefore, Trevor's answer does not make sense.
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answers
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
Reuben has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been
saving?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
Answers
Answer:
23 weeks
Step-by-step (x = weeks)
90 + 48 = 138
divide 138 by 6 to find out how many weeks he'd been saving up .
that gives you 23 but to turn it into an equation
6x - 90 = 48
+ 90 +90
6x = 138
_ _
6 6
x = 23 again x meaning weeks
Identify the terms, coefficients, and constants in the expression.
7h + 3
I need help now!!!!!
Answers
Step-by-step explanation:
7 is the coeffiecient
3 is the constant
Please look at the photo for the question. Thank you!
Answers
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
#SPJ1
help me asp HELPPPPPPPPP ME
Answers
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes
NEED ANSWER RIGHT NOOWWW PLS
Answers
Answer:
C
A
B
C
B
D
not sure on the last one
Step-by-step explanation:
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answers
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
The length of x equals...?
Answers
Show us the image lol
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Write and solve a quadratic equation with the following roots:
x= 2 and x= 4
Answers
Now if you want to show your work, plug everything into the quadratic formula. Due to limitations on a phone, ill just write it out.
-b plus and minus the square root of b squared minus 4 times a times c, alllll over 2 times a