I disagree with Shannon's statement that 758−513=245 based on the reasoning provided.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.
Here,
While it is true that 7−5=2, 5−1=4, and 8−3=5, this reasoning only applies to the individual digits in each place value, not the numbers as a whole. To subtract the two mixed numbers 7 5/8 and 5 1/3, we need to find a common denominator first.
To subtract mixed numbers with unlike denominators, we follow these steps:
Convert each mixed number to an improper fraction.
Find a common denominator for the two fractions.
Subtract the numerators and write the result over the common denominator.
Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.
Let's apply these steps to the problem:
7 5/8 - 5 1/3
Step 1: Convert each mixed number to an improper fraction.
7 5/8 = (87 + 5)/8 = 59/8
5 1/3 = (35 + 1)/3 = 16/3
Step 2: Find a common denominator for the two fractions.
The least common multiple of 3 and 8 is 24, so we'll use 24 as the common denominator.
59/8 = (593)/(83) = 177/24
16/3 = (168)/(38) = 128/24
Step 3: Subtract the numerators and write the result over the common denominator.
177/24 - 128/24 = 49/24
Step 4: Simplify the result, if possible, by reducing the fraction to lowest terms or converting it back to a mixed number.
49/24 is already in its simplest form, so the final answer is 49/24.
Therefore, the correct result of 7 5/8 - 5 1/3 is 49/24, not 245.
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is 12cm, 24cm, 29cm a right triangle
YES OR NO
Answer: no it is 10,24,26
Step-by-step explanation:
Scarlet made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with AD on the scaled copy of quadrilateral.
Answer:
10 or any number >9
Step-by-step explanation:
Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1. This will give you a number such as 10 or 18 or any number that is greater than 9.
5x5x5x5x5x5+ 10-2x10x20
Answer:
15,235
Step-by-step explanation:
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
If 40 is increased to 56, what is the percent of change?
80%
29%
40%
71%
Answer:
what the first person said
Step-by-step explanation:
Help fast plsssssssssss
Answer:
- and -. =+ so-9+12=3
Step-by-step explanation:
the minus changes to plus and then we solve
In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?
Answer:
43 inches
Step-by-step explanation:
Find the surface area plz
Answer:
Step-by-step explanation:
4 triangles
Each of the 3 from the vertical ones has area
A = bh/2 = 10.12/2 = 60ft^2
The latter surface pointing down
A = bh/2 = 10.8.7/2 = 43.5 ft^2
SO summation of all
60+43.5 = 103.5 ft^2
An administrator at a local high school wanted to investigate whether there is an association between the amount of time a student studies for a test and the type of extracurricular activity the student is involved in. Three hundred students selected at random were asked how long they had studied for the last math test and how many extracurricular activities they are involved in. The times they had studied were recorded as either not at all, less than 30 minutes, or more than 30 minutes. Each student also identified which extracurricular activity (out of a total of 5 extra curricular activities) they were involved in. The calculated chi-square test statistic was 7.53 with a corresponding
Answer:
The answer is "When you don't deny the null hypothesis, you'll lose. Since a p-value of 0.4807 is higher than a level of significance of 0.05, the test also isn't statistically important".
Step-by-step explanation:
The state of the hypotheses values
Null hypothesis:
[tex]H_0:[/tex]There is still no connection between how the time a student invests studying for the test and what kind of endurance sport he or she participates in.
Null hypothesis:
[tex]H_l :[/tex] There is indeed a connection between how the time a student invests studying for a test and the type of endurance sport in that he or she participates.
Law of Rejection:
Null hypothesis value is rejects, when the P-value is less than or equal to 0.05. P-value is 0.4807, which is greater than 0.05, based on the information provided.
A school needs 2,400 notebooks for next year if the notebooks come in packages of 60, how many packages should the school buy?
Answer:
40
Step-by-step explanation:
Divide 2400 by 60 to get 40
Hope this helps!
Answer:
40
-step explanation:
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=10 p=0.15 x<4
The probability of x<4 successes is
The probability of x<4 successes is P(X <4) = 0.01909.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
In this question:
n=10 p=0.15 x<4
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]
So, P(X <4) = 0.01909.
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Which solid figure has the following net? Pentagonal prism hexagonal prism hexagonal pyramid pentagonal pyramid
The correct answer is pentagonal prism.
PLEASE HELP DUE TODAY
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(2 +6)(4) = 16
The area of the trapezoid is 16 square units.
sally has 200$ in her checking account and gets paid 15$ an hour for babysitting kent has $245 in his checking account and gets paid $12 an hour for baby sitting how many hours do kent and sally need to work to have the same amount on money in their checking account
Answer:
Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.
Step-by-step explanation:
Set up equations.
x = hours, T = total $
Sally:
T = 200 + 15x
Kent:
T = 245 + 12x
Set both equations equal to each other.
200 + 15x = 245 + 12x (subtract 200 from both sides)
15x = 45 + 12x (subtract 12x from both sides)
3x = 45 (divide both sides by 3)
x = 15
If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?
Answer:
4700
Step-by-step explanation:
To find the area, the formula is to multiply the width and the length. That is what I did and got 47 hundred
1. At the post office, Tiffany paid $11.04 for 24 stamps. At this rate, how much Would it cost Tiffany to buy 18 stamps?
A. $0.46 B. $2.76 C. $8.28 D.$17.64
2. A group of friends hiked 7 miles in 2 hours. At this same rate, what is the total number of miles they can hike in 8 hours?
a. 40 Miles
b. 28 miles
C. 11 miles
D. 9 miles
Giving brainly to Who every answer this question Please explain
Answer:
For question one: $8.28
For question two: 28 miles
Step-by-step explanation:
For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28
For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.
Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point
Answer:
A = 414.69 km^2
Step-by-step explanation:
A = 2 π r h + 2 π r^2
A = 2(30)(pi) + 2(36)(pi)
A = 132pi
A = 414.69 km^2
Please help 13 points number 3 no links !
Answer:
H
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]
Answer:
Hi, using L.C.M, It will be option H
Tell wether the triangle with the given side is a right triangle.
Answer:
Number 4 is a right triangle whether 3 isnt.
Step-by-step explanation:
I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one
Please help me in like 2 minutes due in 3 minutes
Answer:
5 dummy
Step-by-step explanation:
pleaseee???? anyone? need helpp
Answer:
x=9
Step-by-step explanation:
Thats your answer
2. Perform the following multiplication: (+5)(-2)(+7)(-4)(-1)
Answer:5
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The Blue box is your answer
Step-by-step explanation:
Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.
20% of what number = 100
Answer:
500
Step-by-step explanation:
is 100 is 20%, multiply 100 by 5
Choose all the fractions that are equivalent to 4/12 2/8 9/27 8/24 5/15 1/3
5
Type the correct answer in each box.
50°
60°
709
Х
50°
The value of xis
o, and the value of yis
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)
x = 180° - 120°
x = 60°
✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.
Therefore,
50° + 60° = x + y
Plug in the value of x
50° + 60° = 60° + y
110° = 60° + y
y = 110° - 60°
y = 50°
HELP!!I NEED IT RIGHT NOWWWW
Part B: Select the possible dimensions, in inches of the container.
1in, lin, 10 in
1in. 2 in, 5 in
O O O O
1 in 2 in, 15 in
1 in. 9 in 10 in
2 in 3 in 5 in
2 in 5 in 9 in
Answer:
2 3 5
Step-by-step explanation:
Which statement describes a unit rate?
A. Joe rides his bike 5 miles and walks 1 mile.
B. Joe rides his bike 30 miles in 3 hours.
C. Joe rides his bike 15 miles per 1 hour.
D. Joe rides his bike 1
2
mile in 10 minutes.
Answer:
C
Step-by-step explanation:
unit rate means 1 and it says that 15 per hour which shows that c is the answer
Answer:
C. Joe rides his bike 15 miles per1 hour.
Step-by-step explanation:
Key word: PER
Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!
Miguel has $30. He spends $6.00 on a movie ticket, $3.80 for snacks, and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has $ left.
Answer:
answer is 19.2 left ........
1. a. The equation of a straight line is 2y = 3x +4,
Find the gradient of this line,
Answer:
3/2
Step-by-step explanation:
2y = 3x + 4
y = (3/2)x + 2
^ ^ ^ ^
y = m x + c
m = 3/2
To help with his retirement savings, Dan has decided to invest. Assuming an interest rate of 3,43% compounded quarterly, how much would he have to invest
to have $148,700 after 18 years?
Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas.
00
si
X
5
?
Answer:
He would have to invest $80,412.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Assuming an interest rate of 3,43% compounded quarterly.
This means that [tex]r = 0.0343, n = 4[/tex]
How much would he have to invest to have $148,700 after 18 years?
This is P for which [tex]t = 18, A(t) = 148700[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]
[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]
[tex]P = 80412[/tex]
He would have to invest $80,412.