Answer:
3 3/11
Step-by-step explanation:
The best way to divide fractions is to not divide them at all.
Convert both mixed numbers into improper fractions.
4 times 2 is 8
8 + 1 is 9
I have 9/2 halves. Don't forget to put the negative back in.
1 times 8 is 8
8 + 3 is 11
I have 11/8 eighths. Dont forget to put the negative back in.
You will end up with
-9/2 ÷ -11/8
Flip the second fraction and change the division sign to a multiply sign
-9/2 × 8/-11
Multiply the numerators together and the denominators together
-9 x 8 and 2 x -11
-72 / -22
Dividing a negative by a negative will give us a positive
72 / 22
Simplify by dividing the top and bottom by 2
36/11
We cannot simplify further. You can answer like this or convert back into a mixed number.
There are 3 sets of 11 in 36, with 3 left over
3 3/11
Answer:
[tex] = - (5 \frac{3}{5} )[/tex]
Step-by-step explanation:
[tex] - 4 \frac{1}{2} \div ( -1 \frac{3}{8} )[/tex]
[tex] = - 4 \frac{1}{2} \div -1 \frac{3}{8} [/tex]
[tex] = \frac{(2 \times ( - 4) + 1)}{2} \div \frac{(8 \times ( - 1) + 3}{8} [/tex]
[tex] = \frac{ - 7}{2} \div \frac{ - 5}{8} [/tex]
[tex]= \frac{ - 7}{2} \times \frac{8}{ - 5} [/tex]
[tex] = \frac{ (- 7 )\times 8}{2 \times ( - 5)} [/tex]
[tex] = \frac{ - 56}{( - 10)} [/tex]
[tex] = - (5 \frac{6}{10} )[/tex]
[tex] = - (5 \frac{3}{5} )[/tex]
can you please help, geometry question
Answer:
x = 15
y = 12
m < AED = 83°
m < DEC = 97°
Step-by-step explanation:
According to the given problem:
< AED = (6x - 7)°
< BEC = (4x + 23)°
< AEB = (8y + 1)°
< DEC = (5y + 37)°
Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Given that < AED and < BEC are vertical angles, then it means that they have the same measure.
The same goes with < AEB and <DEC, they are also considered as vertical angles.
To solve for x:
< AED = < BEC
(6x - 7)° = (4x + 23)°
Subtract 4x from both sides:
6x - 4x - 7 = 4x - 4x + 23
2x - 7 = 23
Add 7 to both sides:
2x - 7 + 7 = 23 + 7
2x = 30
Divide both sides by 2 to solve for x:
2x/2 = 30/2
x = 15
To solve for y:
< AEB = <DEC
(8y + 1)° = (5y + 37)°
Subtract 5y from both sides:
8y - 5y + 1 = 5y - 5y + 37
3y + 1 = 37
Subtract 1 from both sides:
3y + 1 - 1 = 37 - 1
3y = 36
Divide both sides by 3 to solve for y:
3y/3 = 36/3
y = 12
To double check whether our values of x and y are correct, substitute these values into the established equality statements:
< AED = < BEC
(6x - 7)° = (4x + 23)°
[6(15) - 7]° = [4(15) + 23]°
(90 - 7)° = (60 + 23)°
83° = 83° (True statement. Therefore, x = 15 is the correct answer, and m < AED = 83°).
< AEB = <DEC
(8y + 1)° = (5y + 37)°
[8(12) + 1)° = [5(12) + 37]°
(96 + 1)° = (60 + 37)°
97° = 97° (True statement. Therefore, y = 12 is the correct answer, and m < DEC = 97°).
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Dan is buying pencils and erasers from the store. Pencils come in packages of 6, but erasers are sold in packages of 9. If Dan wishes to purchase the same number of pencils as erasers, what is the smallest number of erasers that he can buy?
Answer:
6
Step-by-step explanation:
9+9=18 pencil
6+6=12 erasers
Find the constant of variation for the direct variation y=2 when x=6 then find the value of y when x=3/4
The constant of variation is 1/3 and when x = 3/4, y = 1/4
Two variables are proportional to each other if as one variable increase or decrease, the other variable does the same.
Given that y and x have a constant variation, hence:
y ∝ x
y = kx;
where k is the constant of variation
y=2 when x=6;
2 = 6k
k = 1/3
y = (1/3)x
When x = 3/4;
y = (1/3)(3/4)
y = 1/4
Hence the constant of variation is 1/3 and when x = 3/4, y = 1/4
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Roberto took a sample of 5 recent matches for his favorite soccer team. Here is how many goals the team scored in each match: 0, 2, 1, 2, 5 Roberto found the mean was xˉ=2 goals. He thinks the standard deviation is sx =(2−2)2 + (1−2)2 +(2−2)2 +(5−2)24−−−−−−−−−−−−−−−−−−−−√ What is the error in Roberto's standard deviation calculation?
Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
The mean of the data is also known as average.
Given the set of data 0, 2, 1, 2, 5
Mean = 0+2+1+2+5/5
Mean = 10/5
Mean = 2.0
To get the standard deviation, we will use the SD formula as shown:
[tex]\sigma=\sqrt{\frac{\sum (x-\overline x)^2}{N} }[/tex]
[tex]\sigma =\sqrt{ \frac{(0-2)^2+(2-2)^2+(1-2)^2+(2-2)^2+(5-2)^2}{5}}\\ \sigma = \sqrt{\frac{4+0+1+0+9}{5}} \\\sigma = \sqrt{\frac{14}{5} }\\\sigma = 1.673[/tex]
Comparing this with Roberto's calculation, we can see that Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
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Answer:
B
Step-by-step explanation:
You have a choice between going to an in-state college where you would pay $3000 per year for tuition and an out-of-state college where the tuition is $6500 per year. The cost of living is much higher at the in-state college, where you can expect to pay $1000 per month in rent, compared to $450 per month at the other college. Assuming all other factors are equal, which is the less expensive choice on an annual (12-month) basis?
Answer:
The less expensive choice is the out-of-state college
Step-by-step explanation:
in-state-college: 1000(12)+3000=15000
out-of-state-college:450(12)+6500=11900
Please answer this question.
Answer:
use a calculator
;-;
Step-by-step explanation:
Answer:
is this 4th grade math? genuine question
Step-by-step explanation:
the answer is 11
What is the image point of (6, 3) after a translation right 1 unit and up 1 unit?
Answer:
Step-by-step explanation:
(6 + 1, 3 + 1) = (7, 4)
Zoe played soccer for 12 years before she retired. She trained twice a week every year (52 weeks) for her entire career. How many training sessions did she go to? Please show your work.
Answer:
Zoe had 312 training sessions.
Step-by-step explanation:
First: divided 52 by 2
Second: multiply 26 and 12.
Solve for the unknown variable.
-4 =
d + 3
5
Answer:
d=-39
Step-by-step explanation:
-4=d+35 -35 on both sides to get d=-39
Now let's check:
-39+35=-4
Is this correct? Yes!
Hope this helps :D
If an angle cuts out an arc length of a circle AND the arc length is SHORTER than the
radius, what is true about the angle?
it is less than pi radians
it equals pi radians
it is greater than pi radians
We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.
The correct option is:
"it is less than pi radians"
A circle of radius R has a circumference:
C = 2*pi*R
An arc defined by an angle θ has a length:
L = θ*R
Now, we know that the length of the arc is smaller than the radius, then we have:
θ*R < R
Dividing both sides by R we get:
θ < 1
So we can see that the correct option is:
"it is less than pi radians"
Because it is smaller than 1.
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help me with this guys !! (a lot is points like 80) PLEASEEE HELP
1)what is the value of this expression? 4m + 2n, when m = 7 and n = -2
2) Use the formula: P=abc, to work out for P when a = 2, b= 3 , c =4
3)what is the correct option (expression) for this “multiply n by 9 then adds 5’’?
options
a: 9(n+5)
b: 9n + 5
c: 5n + 9
d: 5(n+9)
4)use the position -to-term rule to find the first four terms in the sequence. term = 3x position number + 3
5) amy thinks of. number n. what is the correct expression if she doubles ur and -‘s 7
6)
Answer:
1) 24
2) 24
3) b. 9n +5
Step-by-step explanation:
1) substitute
4(7) + 2(-2)
solve
28 + -4
24
2) substitute
P = (2)(3)(4)
multiply
24
4) im not sure, my apologies
5) i'm not sure, i don't understand what's being asked, if you rephrase this, i can give you an answer
have a lovely day <3
Answer:
1) 24
2) P=24
3) B: 9n+5
4) 6, 9, 12, 15, 18, 21...
Step-by-step explanation:
1) 4(7) + 2(-2) = 24
2) P = (2)(3)(4) = 24
3) 9n+5
4) 3+3=6+3+3+3
3(2x+5)=45 I need help doing it in the proof form in 4 steps
Is (2, 9) a solution to this system of equations?
y = 6x + 7
y = x + 7
yes
no
No it isn't. Using the substitution method, if we substitute x for 0, we get
y = 6(0)+7
y = 0+7
y = 7
y = 0+7
y = 7
Hence the solution is (0,7)
An interior designer wants to decorate a newly constructed house. The function f (x) = 25x2 – 100 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g of x equals one fifth times x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points)
Part B: If the newly constructed house requires 40 hours of work, how much will the interior designer earn? Show all necessary calculations. (5 points)
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points)
F(x) = 25x² - 100
g(x) = 1/5x
{ 7 1/5x² - 100 = y
{ 1/5x = y
∴ 25 x² - 100 = 1/5x
x = 2
y = 0.4
The function for the amount of money earned, the total amount of money for 40 hours and the expression for the difference quotient are given as A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
The given function for earned money in designing house is,
f(x) = 25x² - 100
The function for number of rooms decorated is,
g(x) = x/5
PART A :
As per the problem, the the function for the amount of money made by interior designer is the product of functions f(x) and g(x) as,
A(x) = f(x)g(x)
=> A(x) = (x/5)( 25x² - 100)
=> A(x) = 5x³ - 20x
Where x represents the number of hours worked.
PART B :
If the designer works for 40 hours the amount of money earned can be obtained by substituting x = 40 in A(x) as follows,
A(x) = 5x³ - 20x
at x = 5
A(5) = 5 × 40³ - 20 × 40
= 319200
PART C :
The difference quotient for the function A(x) is given as,
(A(x + h) - A(x))/h
= (5(x + h)³ - 20(x + h) - (5x³ - 20x))/h
= (15x²h - 15xh² - 20h)/h
= 15x² - 15xh - 20
Hence, the answers for all the parts are A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.
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Please help. i dont know what to put.
Answer:
a and b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
perpendicular lines intersect to form a 90 degree (or 'right') angle
How can 38 over 6 be expressed as a decimal?
Answer:
the answer is 6.3
Step-by-step explanation:
sorry if I did it wrong
Answer:
D or the last option
Step-by-step explanation:
38/6, so 6 can go on 38 6 times, means it will be 6 times 6, which is 36. So, we can eliminate the answers A and B.
38-36 = 2, which is the left over. Now You add a decimal point and bring down a zero and make it 20. and 6 can go on 20, 3 times... 6 times 3, which is 18.
20-18= 2, so you do the same thing over and over again, the answer is 6.3
pls help !!!!!!!!!!!!!!!
Answer:
d = 32.1°
Step-by-step explanation:
79.7 (measure of the whole angle) - 47.6 (measure of the left over angle) = d
What is the inverse of f(x) = 1/3x + 2 ?
A. h(x) = 1/3x + 2
B. h(x) = 1/3x - 2
C. h(x) = 3x - 2
D. h(x) = 3x - 6
Pls provide an explanation. I need help, and I will mark the person who helps me understand this Brainliest.
Step-by-step explanation:
y = ⅓x +2
⅓x = y -2
x = 3y -6
h(x) = 3x -6 (option D)
The graph shows a system of equations:
Y= -x - 2 y = 2x - 5 what is the solution (-1 , 3) (1 , -3) (1 , 3 ) ( -1, -3) vi
Answer:
(1 , -3)
Step-by-step explanation:
The system of linear equations intersect exactly at one point. This point where the two lines intersect is the solution of the system of equations.
Find the intersection point on the graph Determine the abscissa or x-coordinate ( horizontal distance) which is 1Determine the ordinate or y-coordinate (vertical distance) which is -3The ordered pair is the solution (1, -3)convert 84 2/3% to a fraction in lowest terms
Answer:
Step-by-step explanation:
Multiply the numerator by the reciprocal of the denominator.
251
300
= 56
How do you convert a fraction into percentage?To write the fraction as the % we 1st need to write it as a fraction out of 100.We write the fraction out of 100 by using equivalent fractions.This means that we must multiply numerator. The number on above of the fraction.We can 1st multiply the top or bottom of the fraction 4 / 5 by 2.
Any number can be converted to fraction if you use one for the denominator:
84/1
Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.
all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :
2 x 84 / 3 x 1
= 168 / 3
In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.
We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.
168/3 = 56
3/3 = 1
When we put that together, we could see that our complete solution is:
56/1
= 56
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In Joan's math class, there are 20 computers and 32 students.
What percent of students will be able to use a computer with out
sharing?
*
62.5%
32.5%
25%
66%
20/32
5/8
0.625
62.5
62.5%
x% x 32= 20; x%=20÷32: x%=.625:; x= 62.5%
(11/0x−2/3)−(4/5x−1/6)
(−5/6x−7/12)−(−1/3x−1/4)
(−1/2x+7/10)−(−3/4x−1/5) .
Answer:
21x
Step-by-step explanation:
21×
Step-by-step explanation:
that my answer my anwer
Click the least number in this set of numbers.
|-1.61,
5.28 x 10,
V50,
2
5
0.3
Answer:
-2/5 is correct
Step-by-step explanation:
How to measure body mass by using the metric system
Answer:
With the metric system, the formula for BMI is weight in kilograms divided by height in meters squared. Since height is commonly measured in centimeters, an alternate calculation formula, dividing the weight in kilograms by the height in centimeters squared, and then multiplying the result by 10,000, can be used.
Hope this helped
Step-by-step explanation:
Help it’s due by 12:00
Answer:
d to c to b to a
Step-by-step explanation:
d = 1/4 or 0.25
c = 3
b = 5 or 4
a = 6
Two rules for creating a pattern are given below. Each rule begins with a number called the input and creates a number called the output.
Rule 1: Increase the input by 4 to get the output.
Rule 2: Multiply input by 2. Then subtract 1 to get the output.
Which input and output table works for both rules?
Choose 1 answer:
Answer:
A
Step-by-step explanation:
You can just check all of them in a minute.
Input Output Rule 1 Rule 2
5 9 5 + 4 = 9 ✔ (5 × 2) - 1 = 9 ✔
10 14 10 + 4 = 14 ✔ (10 × 2) - 1 = 19 ❌
8 15 8 + 4 = 12 ❌ (8 × 2) - 1 = 15 ✔
Only the first one (A) works with both rules.
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Triangle Proportions pls help find ? ive been trying for 20 mins
Let missing side be x
[tex]\\ \sf\longmapsto \dfrac{2}{5}=\dfrac{x}{10}[/tex]
Now
[tex]\\ \sf\longmapsto 5x=20[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{20}{5}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
1 gal of paint in pounds
Help pls show work :))))
Answer:
m/_a=4(15)
=60
Step-by-step explanation:
180-115=65
triangle=180
180=65+4y+3y+10
7y=105
y=15
Brainliest plsz
someone plz help me I am so confused
Hey there!
- 9 • (-7/3)
= - 9 × -7/3
= 63/3
= 21.
For better understanding :-
[tex] \tt- 9 \: \cdot \: ( \frac{ - 7}{3} ) \\ = \tt\frac{ - 9 \times - 7}{3} \\ = \tt\frac{63}{3} \\ = \boxed{ \tt \: 21}[/tex]
Note :-
Remember that - × - gives you +.Hope it helps ya!