Answer:
Step-by-step explanation:
To find equivalent fractions, multiply the numerator and the denominator by the same table.
a) 5/6
[tex]\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}[/tex]
b) 7/11
[tex]\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}[/tex]
c)9/7
[tex]\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}[/tex]
BRAINLIEST NO LINKS
Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
A: He did not make any errors.
B: Step 1: He wrote −4.4 incorrectly as + 4.4.
C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.
In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.
So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7
In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.
So the original problem is −8.3 + 9.2 − 4.4 + 3.7 which results 0.2 but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9
Actually the answer is B. cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.
Evelyn can run 3 miles in 40 minutes
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
Given the point and the slope, write the function in point-slope form:
(2,−5);m=23
Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)
Answer:
2nd answer choice
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
y-(-5)=23(x-2)
y+5=23(x-2)
Answer:
(b) y+5=23(x−2)
Step-by-step explanation:
The point-slope form for the equation of a line is ...
y -k = m(x -h) . . . . . . point (h, k), slope m
You have point (2, -5) and m=23, so the equation becomes ...
y -(-5) = 23(x -2)
y +5 = 23(x -2) . . . . . . simplify a bit
PLEASE HELP NO LINKS/FILES
Answer:
7/8 yards
Step-by-step explanation:
converting each fraction to match 1/8 would be
1/4=2/8
1/8
1/2=4/8
add them together and get 7/8
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
Answer:
0.5160
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
What sentence represents this equation? 4 1/3=11−x
Answer:
4 1/3 is the same as 11 decreased by a number.
Step-by-step explanation:
What differences are there between a polynomial equation and a rational equation?
Answer:
It is a fraction
. f (x) = x +12×2-x-1 is an example of rational function.
It has numerator and denominator properties.
vertical asymptotes is the another property of rational function.
Numerater and denominator both are polynomials.
function expressed by numerator and denominator with ratio.
A carton of a orange juice is in the sahpe of a cuboid. It has a height of 20cm lenght of 12cm and depth of 8cm. The depth of the orange juice is 6cm.the carton is turned so that it stands the shaded face.Work out the depth of the orange juice.
Answer:
4cm
Step-by-step explanation:
The area of the base will be doubled 60[tex]cm^{2}[/tex] to 120[tex]cm^{2}[/tex]
Convert 53 grams to kilograms. 53,000 kg 0.053 kg 5.3 kg 530 kg
Answer:
0.053 kg
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
5.
Which of the following equations describes the graph?
Step-by-step explanation:
I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2
41)533
What is 533 divided by 41 using Partial Quotients?
Answer:
13
Step-by-step explanation:
533÷41=13 just use a calculator
Which exponential expression represents the numerical expression 9.9.9? O 39 99 0 9x3 O 3x9 1 2 2 3
9³
Step-by-step explanation:
nine to the third power or 9-cubed is the answer b/c multiply the number "9" by itself, three times.
Therefore, 9*9*9" is equal to: 9³
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
PLEASEEE HELPPPP ASAPPPP
[tex]\cos 27^{\circ} = \dfrac{KL}x\\\\\implies \cos 27^{\circ} = \dfrac{6.3}x\\\\\implies x = \dfrac{6.3}{\cos 27^{\circ}}=7.1~ \text{units.}[/tex]
30,098 / 6
Quotient and Remainder
Answer:
5,016.33333333
Step-by-step explanation:
divide
Mateo wants to buy a BMX bike to compete in his town's extreme sports contest. He set up a lemonade and cookie stand to raise the money. Mateo sold lemonade for $1 per cup and cookies for $3 each. He sold 40 cups of lemonade and 20 cookies. How much money did he make?
Answer:100$
Step-by-step explanation: you multiply 40x1 and 20x3
If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!
45 mi/hr
27.5 mi/hr
25 mi/hr
40 mi/hr
Answer:
answer is D
Step-by-step explanation:
speed = distance divide by time.
299.8/ 7 .5
40
Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph
Step-by-step explanation:
Solution is already given:
3x ≤ - 5/4x ≤ -5/12Graph the inequality:
1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dotAnd you are done
So Graph it
Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dotBen worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40
WHAT IS 10x+55 = 100
Answer:
[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]
Step-by-step explanation:
[tex]10x+55 = 100[/tex]
[tex]10x+55-55=100-55[/tex]
[tex]10x=45[/tex]
[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]
[tex]x=\cfrac{9}{2}[/tex]
HOPE IT HELPS!
Subtract 55 from both sides.
10x=100-55
Simplify 100-55 to 45.10x=45
Divide both sides by 10.
[tex]x = \frac{45}{10} [/tex]
Simplify[tex]x = \frac{9}{2} [/tex]
Which expressions are equivalent to 25 + 3(a - 5) + 7a?
A. 10a + 20
B. 8a + 23
C. 5(2a + 2)
D. 10a + 10
E. 2(5a + 10)
Answer:
This is what I got 10(a+1)
I don't think you need this but there you go.
Step-by-step explanation:
Highlighter pens cost $3. 86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3. 86P P equals 3. 86 over n n equals 3. 86 over P P = 3. 86n.
Answer:
Total = ($3.86)n, but it ids not among the answer options.
Step-by-step explanation:
P would be equal to the price per pen set ($3.86) times the number of pen sets sold, n.
Total, P = ($3.86)n
I translated the paragraph into these options:
n = 3. 86P No, n = P/3.86
P = 3. 86/n No, P = 3.86n
n = 3. 86/P No, n = P/3,86
P = 3. 86n.
Consider the line y=-5x+3. Find the equation of the line that is parallel to this line and passes through the point (3,4). Find the equation of the line that is perpendicular to this line and passes through the point (3, 4).
Answer:
parallel
y= -5x + 19
perpendicular
y= (1/5)x + 17/5
Step-by-step explanation:
yeah-ya......... right?
Explain how to calculate 32% of 150
Answer:
32% of 150 is 48.Step-by-step explanation:
32% of 150=> 150 x 32/100=> 3 x 32/2=> 3 x 16=> 48Conclusion:
Therefore, 32% of 150 is 48.
Hoped this helped.
[tex]GeniusUser[/tex]
A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
What’s the definition of coefficient
Answer:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
Step-by-step explanation:
Q: What is the coefficient in 6x^2
A: 6
Note: It is USUALLY a number
PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!
First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.
Hope this helps!
What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.
Rhian sat at a maths test and an English test
In the Maths test she scored 14 out of 17
In the English test she scored 31 out of 39
In which test did she do better
Answer: She did better in the Math test
Step-by-step explanation:
find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%
Now do the same thing for the other:
31/39 = 0.79 x 100 = 79%
In the end she got better in the math test!
Hope that helps :)
Six less than a number is twenty
Answer:
the start numbew woould be 26
Step-by-step explanation:
6 less than 26 is 20
Answer:
n=26
Step-by-step explanation: