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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Find the volume of the following figures with the given dimension
Answer:
[tex]V=192\ in^3[/tex]
Step-by-step explanation:
Given that,
The area of base, A = 24 in²
The height of the pyramid, h = 8 in
We need to find the volume of the following figure.
The volume of pyramid is given by :
[tex]V=A\times h[/tex]
Substitute all the values,
[tex]V=24\times 8\\\\=192\ in^3[/tex]
So, the volume of the pyramid is equal to [tex]192\ in^3[/tex].
can someone plz help no links plz
Find tan A for the triangle below. A right triangle. The hypotenuse is 24.19, the side opposite to angle A is 12, and the side adjacent to angle A is 21.
a. 0.868
b. 0.496
c. 1.75
d. 0.5714
Answer:
D. Just follow the definition in the first line of the answer.
Step-by-step explanation:
Tan(A) = the opposite Side / Adjacent Sid
Tan(A) = 12/21
Tan(A) = 0.5714
Answer:
D. 0.5714
Step-by-step explanation:
I am a rizzly bear
Jimmy pays 30% of his salary to tax before all other deductions. Jimmy fortnightly gross salary is 2,500. what is Jimmy's fortnightly net salary after tax?
Answer:
1750
Step-by-step explanation:
So first we have to find out how much tax he pays which is 30% of 2,500=750. now we know how much tax he pays, we can subtract it from his salary: 2500-750=1750
Giving brainliest!!!!
Answer:
I believe it maybe 300 cm³
What is the probability of rolling a 2 or a 3 on a regular fair die
Answer:
The possibility of rolling a
3
on a fair die and getting tails on a coil is
1
12
. Based on this probability, there are
12
possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.
Step-by-step explanation:
The probability of rolling a
3
on a fair die is
1
6
because there is only one
3
out of
6
numbers. The probability of getting tails on a coin is
1
2
because there are
2
possibilities and tails is one of them. To get the probability of rolling a
3
on a fair die and getting tails on a coil, we multiply their probabilities:
1
6
⋅
1
2
=
1
12
There are
12
possiblities because for each of the
6
possibilites for rolling a die, there are
2
possibilites for flipping a coin.
Four groups of some amount equals 52 in a algebraic equation
Answer:
where's the full question
Step-by-step explanation:
Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i= 1, 2, 3, and 4 respectively.)
Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
a. The distribution of polyunsaturated fat percentages for each of the four regimens must be uniform with equal variances.
b. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with unequal variances.
c. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with equal variances.
d. The distribution of polyunsaturated fat percentages for each of the four regimens must be binomial with unequal variances.
Answer:
c. The distribution of polyunsaturated fat percentages for each of the four regimes must be normal with equal variance's.
Step-by-step explanation:
Single factor ANOVA is used for testing the null hypothesis with same mean of several population. The alternative hypothesis is set against the null hypothesis in order to identify whether the null statement is correct or it will be rejected.
19 - a = 42
What is a?
Answer:
61
Step-by-step explanation:
add 42 the 19 because of reverse operation
Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?
Answer:
21.11 ft
Step-by-step explanation:
This question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
13.4² + b² = 25²
179.56 + b² = 625
b² = 625 - 179.56
b = 445.44
find the square root of 445.44
b = 21.11 ft
Somebody Please help!!!
Answer:
Slope, m = -8
Step-by-step explanation:
Given the following data;
Points on x-axis (x1, x2) = (2, 3)
Points on y-axis (y1, y2) = (5, -3)
To find the slope, m;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {-3 - 5}{3 - 2} [/tex]
[tex] Slope, m = \frac {-8}{1} [/tex]
Slope, m = -8/1
Slope, m = -8
can someone help me please :(
the diamiter is 125 meters because
Please help me with this ASAP ASAP please please help please please
Answer:
Step-by-step explanation:
For the lateral area we have to find the perimeter:
p = 2 x 8 x π
p = 16 π
now we can find it
LA = p x height
LA = 16 π x 3 = 48 π
for find the the surface area we have to find the base area
Base area = radius^2 π
base area = 8^2 π = 64 π
now can we find it
SA = 2 x base area + LA
SA = 2 x 64π + 48π = 128π + 48π = 176π
V = base area x height
V = 64π x 3 = 192 π
Help please thanks!!!
Answer:
Four tenths
Step-by-step explanation:
You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.
Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?
Answer:
The answer is "40 second".
Step-by-step explanation:
Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.
[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]
Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.
pair of
onding angles.
2. WHICH ONE DOESN'T BELONG? 2-6
Answer:
2. Measure 5
3. lines m and n are parallel
4. line t is transversal
5. 8 angles are formed by transversal
6. 1, 3, 5, 7 are congruent. 2, 4, 6, 8 are congruent.
Elsa took out a 2-year loan to buy a car at a 6% simple interest rate. If she has to pay $264 in interest;
How much interest did she pay each 1 year?
How much principal did she borrow?
Answer:
P = I / rt is the formula we're going to use.
P is the principle (which is what we're solving for)
I = the interest accrued over the specified amount of time (2 years)
r = the interest rate (6%)
t = the time specified (2 years)
Change the percent to a decimal. Place the decimal two places to the left to make 0.06.
P = 264 / 0.06(2)
P = 264 ÷ 0.12 = 2,200
Principal borrowed would be $2,200
Do u know rulers take 2# I already ask this question its just take I put the wrong file
Answer:
9 and a half inches
Step-by-step explanation:
Just count via the ruler!
Answer:
9 4/10 inches
Step-by-step explanation:
look at where the red dotted line to the right falls on the ruler. It's not quite on 9 and a 1/2 but on the line just before that.
hope this helps
Andre swims 5 laps in just 4 minutes, if Andre swam 22 laps, how many minutes did it take him? Please I need answer as fast as you can type. This answer is worth 200% of my grade, it could make me go from A to a literal Z
Answer: 17.6 minutes
Step-by-step explanation: im not sure if u can use decimals tho
Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches
Answer:
The perimeter of a triangle is equal to 18.81 inches.
Step-by-step explanation:
Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:
5 ^ 2 + 6 ^ 2 = X ^ 2
25 + 36 = X ^ 2
√61 = X
7.81 = X
5 + 6 + 7.81 = X
11 + 7.81 = X
18.81 = X
Therefore, the perimeter of a triangle is equal to 18.81 inches.
Please please help please please ASAP please please help
Answer:
r = 3 cm , LA= 30π cm^2 , SA = 48π cm^2
Step-by-step explanation:
This is a bit more difficult because we have to use the inverse formula
if
V = base area x height
we can obtain
base area = V/height
base area = 45π/5 = 9π cm^2
If
base area = radius^2 π
we can obtain
radius = √base area / π
r = √9 x π/π = 3 cm
base perimeter = 3 x 2 x π = 6π cm
LA = 6π x 5 = 30π cm^2
SA = 9π x 2 + 30 π = 48π cm^2
The chamber of commerce for a beach town asked a random sample of city-dwellers, "Would you like to live at the beach?” Based on this survey, the 95% confidence interval for the population proportion of city-dwellers who would like to live at the beach is (0.56, 0.62).
Based on this poll, a chamber of commerce member claims that more than half of city-dwellers would prefer to live at the beach.
Use the confidence interval to evaluate this claim and select the true statement.
Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.
We cannot determine this without taking a census of all city-dwellers.
No, it is not reasonable to assume this because another 95% confidence interval might not be entirely above 0.50.
No, it is not reasonable to assume this because there are only two choices and the proportion of city-dwellers who should prefer either is exactly 0.50, not more than 0.50.
ITS A!!!!
Answer:
Ummm... ya its a becasue 95 is more then 50 (brainlest plzzzzzzzzzzzzzz)
Step-by-step explanation:
Answer:
A.Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
angle klj and angle poq :)
Step-by-step explanation:
1/3 (4 ∙ 3) + 23
I need help
Answer:
27
But tell me the exact question it has on there
Step-by-step explanation:
diffrentiate Insin³x
Step-by-step explanation:
ln((sin(x))^3)'
Chen Lu
= (((sin(x))^3)' / (sin(x))^3
Chen Lu
=(3sin²(x)cos(x)/ (sin(x))^3
= 3cos(x)/sin(x)
=3cot(x)
Pls help me fast i need ittttt
Step-by-step explanation:
where is the question?????
Which graphs are proportional?
A.
B.
C.
D.
Answer: Hello, There! your Answer is Below
C And D Are your Answer
Step-by-step explanation:
Hope this Helps you !!!
Have a great day!!!
1/3 divided by 7/6 can u solve it?????
Answer:
2/7
Step-by-step explanation:
when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7
Answer:
0.28571428571
Step-by-step explanation:
This is the calculated answer.
But after a lot of. technical,work the answer,ends up be 2/7
Anyone know wat 792 divided by 5 is?
Answer:
158.4 i think
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<GFD and <EFI
Step-by-step explanation:
<GFI and <GFD are supplementary angles.
<GFD and <EFI are vertical angles.
<JIF and <JIK are supplementary angles.
<JIF and <EFI are alternate interior angles.