Final answer:
To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, the GCD (greatest common divisor) can be used. The GCD between 60 and 8 is 4, and the GCD between 75 and 10 is 5. Thus, the largest number that satisfies the conditions is 4.
Explanation:
To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, we can use the concept of the greatest common divisor (GCD). The GCD is the largest number that divides two or more numbers without leaving a remainder. To find the GCD, we can use the Euclidean algorithm.
First, we divide 60 by 8. The quotient is 7 and the remainder is 4. Then, we divide 8 by 4. The quotient is 2 and the remainder is 0. Since the remainder is 0, we stop here. Therefore, the GCD of 60 and 8 is 4.
Next, we divide 75 by 10. The quotient is 7 and the remainder is 5. Then, we divide 10 by 5. The quotient is 2 and the remainder is 0. Again, since the remainder is 0, we stop here. Therefore, the GCD of 75 and 10 is 5.
Therefore, the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively is 4.
find the measure to the nearest degree
1. tan A= 1.6643
2. sin A= 0.8480
3. cos A= 0.3420
4. cos U= 0.4695
Answer:
1. tan A= 1.6643
A = tan^-1(1.6643)
A = 59° , 239°
2. sin A= 0.8480
A = sin^-1(0.8480)
A = 58°, 122°
3. cos A= 0.3420
A = cos^-1(0.342)
A = 1° , 359°
4. cos U= 0.4695
U = cos^-1(0.4695)
U = 62°, 298°
Answer:
Please see the attached pictures for the full solution.
Consider the means of the samples shown in the table. Which value is least likely to be the mean of the population from
which the samples were taken?
Sample
1
2
Sample Mean
15.2
17.1
16.9
12.2
18.0
16.3
>
on
17.4
O 122
O 15.3
O 16.4
17.5
Answer:
the answer is 12.2
Step-by-step explanation:
thats what i got
Answer: 12.2
Step-by-step explanation:
1 2/3 times 2 3/5 ??????????????????
Answer:
13/3 or 4 1/3
Step-by-step explanation:
First you convert your mixed numbers into improper fractions:
5/3 × 13/5
You can reduce these fractions by the greatest common factor of 5
1/3 × 13
Multiply
1/3 × 13 = 13/3 or 4 1/3
Factor the Polynomial: 51c^3-34c
Answer:
17 c (3 c^2 - 2)
Step-by-step explanation:
Factor the following:
51 c^3 - 34 c
Hint: | Factor common terms out of 51 c^3 - 34 c.
Factor 17 c out of 51 c^3 - 34 c:
Answer: 17 c (3 c^2 - 2)
Find the length of the hypotenuse. Round your answer to the nearest hundredth. *
Captionless Image
11.00
9.95
8.06
3.32
None of the above
Answer:
c = 8.06
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c^2 = 4^2 + 7^2
c^2 = 16 + 49
c^2 = 65
c = sqrt(65)
c = 8.06
4/9x2/3 in its simplest form is what?
Answer:
8/27
Step-by-step explanation:
4 x 2 = 8
9 3 27
Final answer:
The expression 4/9 x 2/3 simplifies to 8/27, which cannot be reduced further as there are no common factors between the numerator and the denominator.
Explanation:
The original expression given is 4/9 x 2/3. To simplify this expression, we multiply the numerators together (4 x 2) and the denominators together (9 x 3). The product of the numerators is 8, and the product of the denominators is 27, giving us the fraction 8/27. This expression can't be simplified further because 8 and 27 have no common factors other than 1.
If we refer to the example of the scale factor, such as 1:4 scale, it is different from the multiplication of fractions. However, in the case of the proportion 1:2 = 4:x, we solve for x by cross-multiplying, resulting in x being 8. This is a proportional relationship and not directly related to the original fraction multiplication.
Convert the polar equation r = 2 costheta in Cartesian equation form.
Answer:
To transform from polar coordinates into Cartesian coordinates we have:
x = r x cos(theta)
y = r x sin(theta)
r^2 = x^2 + y^2
=> r = 2*cos(theta)
<=> r = 2*(x/r)
<=> 2x = r^2
<=> 2x = x^2 + y^2
Hope this helps!
:)
Answer:
x² + y² - 2x = 0
Step-by-step explanation:
r = sqrt(x² + y²)
x = r cos(theta)
r = 2 cos(theta)
Multiply both sides by r
r² = 2r cos(theta)
x² + y² = 2x
vJoey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/12 of a gallon is in each bowl. How many bowls will he use?Joey has of a gallon of ice cream. He divides the ice cream for his friends so that of a gallon is in each bowl. How many bowls will he use?
Answer:
8 bowls
Step-by-step explanation:
2/3 = 8/12
8/12 ÷ 1/12 = 8
This should be right. Sorry if it isn't.
Answer:
8 bowls
Step-by-step explanation:
In total, we have 2/3 of a gallon of ice cream. Essentially, we want to divide this 2/3 gallons into b bowls such that each bowl has 1/12 of a gallon.
We can write this as the mathematical equation:
2/3 ÷ b = 1/12
Multiply both sides by b:
2/3 = (1/12) * b
Divide both sides by 1/12:
(2/3) ÷ (1/12) = b
Remember that when dividing fractions, it's the same as multiplying by the reciprocal, so:
(2/3) ÷ (1/12) = b
(2/3) * (12/1) = b
b = 8
Thus, the answer is 8 bowls.
What is the area of the shaded region?
17 ft
32 ft
17 ft
Find the value of x.
The value of x is 18
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{60 + 27} \\ \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{87} \\ \: 60(80 + 2x) = 80 \times 87 \\ 4800 + 120x = 6960 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 6960 - 4800 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 2160 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2160}{120} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 18[/tex]
So, the value of x is 18
Hope it helpful and useful :)
To convert 58.58 to a fraction, we evaluate 58.58-0.58 What is 58.58-0.58 ?
A. 0
B. 58/99
C. 57
D. 58
Answer:
58
Step-by-step explanation:
58.58 - 0.58 = 58
Answer:
d
Step-by-step explanation:
58.58-0.58=58
WILL GIVE BRAINLIEST URGENT
The total time T (in hours) needed to fly from New York to Los Angeles and back can be modeled by the equation below, where d is the distance (in miles) each way, a, is the average airplane speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream. Simplify the equation. Then find the total time it takes to fly 2468 miles when a = 510 miles per hour and j = 115 miles per hour.
T = d/ a − j + d / a + j
Group of answer choices
8.4 hrs
10.2 hrs
2.3 hrs
12.5 hrs
Answer:
23 hoursStep-by-step explanation:
To solve, we need to substitute into the given equation:
T = d/a − j + d/a + j
T = 2468/510 (-115 + 2468/510 + 115)
T = 4.83921568627 (-115 + 4.83921568627 + 115)
T = 23.4180084582
Approx: 23 hours
I'm always happy to help :)
Answer:
10.2
Step-by-step explanation:
ok so simplified your equation is [tex]T=\frac{2da}{(a+j)(a-j)}[/tex] so you plug in your numbers.
[tex]T=\frac{2(2468)(510)}{(510+115)(510-115)}[/tex] after adding 510 and 115 you get 625 but both 510 and 625 are divisible by 5 so divide each by 5. you should have:
[tex]T=\frac{2(2468)(102)}{(125)(395)}[/tex] so just solve basically. [tex]T=\frac{503472}{49375}[/tex] it comes out to 10.196 but after some rounding its 10.2
Hope this helps!
I had the same problem too for math today so might as well help ya!
please integrate it do it fast
Answer:
- cosec x + cot x + x + c
Step-by-step explanation:
[tex] \int \frac{cos x}{1 + cos x} dx\\
=\int \frac{cos x(1-cosx)}{(1 + cos x)(1-cosx)} dx\\
=\int \frac{cos x-cos^2 x}{(1-cos^2 x)} dx\\
=\int \frac{cos x-cos^2 x}{sin^2 x} dx\\
=\int \bigg (\frac{cos x}{sin^2 x}- \frac{cos^2 x}{sin^2 x}\bigg) dx\\
=\int (cotx \: cosecx- cot^2 x) dx\\
=\int [cotx \: cosecx- (cosec^2 x-1)] dx\\
=\int (cotx \: cosecx- cosec^2 x+1) dx\\
=\int (cotx \: cosec) dx- \int cosec^2 x dx+\int 1 dx\\
= - cosec x + cot x +
x + c[/tex]
5 times the difference of a number and 3?
The number is 2 if five times the difference between a number and three is negative five the answer is 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is:
Five times the difference between a number and three is negative five. Find the number.
Let's suppose the number is x
From the question:
5(x - 3) = -5
After using the distributive property:
5x - 15 = -5
Add 15 on both sides:
5x - 15 + 15 = 10 + 15
5x = 25
Divide by 5 into both sides
x =25/5
x = 2
Thus, the number is 2 if five times the difference between a number and three is negative five the answer is 2.
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The original price of a computer games is 45$. The price is marked down by 18$. What percent of the original price is the markdown?
Answer:
40%
Step-by-step explanation:
When we say the price of an object is marked down, it means the price of the object was reduced or decreased from the initial or original price.
In the above question:
The original price of a computer game = $45
The price is marked down or decreased by $18
We are asked to find the percent of the original price that is marked down.
This is calculated as:
(The price that the original price is marked down by ÷ Original price ) × 100
= ($18 ÷ $45) × 100
= 40%
Therefore, the percent of the original price that is marked down is 40%.
Answer:
it will be 40%
Step-by-step explanation:
Which of the following questions is a statistical question? (4 points)
Group of answer choices
What is the top-selling board game?
In what aisle are the board games located in the local store?
How many board games require a deck of cards to play?
How many board games have you played in the past month?
Answer:
Answer: D. How many bored games have you played in the past month
D because a statistical question is where you collect data and has to have a variability in that data.
Because it’s statistical
Step-by-step explanation:
Answer:
C. How many board games require a deck of card to play?
Step-by-step explanation:
A. is automatically out because you will only get one answer and you need to have veniality.
B. is also automatically out because then again you will only get one answer.
D. is a tricky one thought, it may look like it is the right answer but it is not because you will once again only get one answer. And based on how the question was worded it sounds like they were asking a specific person. (You have to ask more than one person in order to make that question statistical.)
For example, Say the question was: How many times have you watched star wars this past month? It may not be the same question but it has the same format. So, if you ask someone how many times have they had watched Star Wars this past month, they will say a specific number, like 7. The same goes with question D.
Hope this helped! :)
Given that $A = (\sqrt{2008}+\sqrt{2009}),$ $B = (-\sqrt{2008}-\sqrt{2009}),$ $C = (\sqrt{2008}-\sqrt{2009}),$ and $D = (\sqrt{2009}-\sqrt{2008}),$ find $ABCD.$
The product of the given expressions A, B, C, and D is 1. This is computed by recognizing A and C as conjugates (and likewise B and D), and using the difference of squares rule.
Explanation:Given the expressions of A, B, C, D as written in the question, what needs to be done is to multiply these expressions together. Since B is the negative of A, and D is the negative of C, you can rewrite ABCD as:
A*(-A)*C*(-C)
which simplifies to -(AC)2. You'll notice that A and C are conjugates. This means that squaring them results in the difference of squares, or a2 - b2. Implementing this, we get:
the product ABCD, we can use the distributive property of multiplication over addition. We have:
ABCD = (A + B)(C + D)
Substituting the given values of A, B, C, and D, we get:
ABCD = ((√2008 + √2009) + (-√2008 - √2009))((√2008 - √2009) + (√2009 - √2008))
-(sqrt{2008}2 - sqrt{2009}2) = -(2008 - 2009) = 1
So, the product of the given expressions A, B, C, and D is 1.
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To find ABCD, we multiply the given values together and simplify the expressions using the difference of squares formula. The value of ABCD is -1.
Explanation:Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), to find ABCD, we multiply the given values together:
ABCD = ((√{2008}+√{2009})(-√{2008}-√{2009}))((√{2008}-√{2009})(√{2009}-√{2008}))
By expanding the multiplication and simplifying the expressions, we get:
ABCD = (√{2008}² - (√{2009})²)((√{2009})² - (√{2008})²)
After applying the difference of squares formula, we have:
ABCD = (2008 - 2009)(2009 - 2008)
Simplifying further, we obtain:
ABCD = (-1)(1) = -1
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the complete Question is given below:
Given that A = (√{2008}+√{2009}), B = (-√{2008}-√{2009}), C = (√{2008}-√{2009}), and D = (√{2009}-√{2008}), find ABCD.
0.18 of what number is 4.68?
Answer:
26
0.18x = 4.68
x = 4.68/0.18
x = 26
Step-by-step explanation:
The number 26 is 0.18 of the number 4.68.
What is an expression?Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 0.18 times, the number is 4.68. The value of the unknown number is calculated below;-
Let the unknown number be x and now form an equation and solve for the value of x.
0.18x = 4.68
x = 4.68/0.18
x = 26
Therefore, the number 26 is 0.18 of the number 4.68.
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Keesha bought 11 binders and notebooks
from the store and spent $45. Binders cost
$6 each and notebooks cost $2.50 each. Which
two equations can be used to find the number
of binders, b, and notebooks, 11, she purchased?
Answer:
sssssssss
Step-by-step explanation:
Given,
Keesha bought = x binder.
Let Keesha bought (11-x) notebook.
Total money spent = $45
Cost of each binder = $ 6
Cost of each notebook = $ 2.50
Now,
Equation
$ 6 × x + $ 2.50 × (11-x) = $ 45
$ 6 x + $27.5 - $ 2.50 x= $ 45
$ 3.50 x = $ 17.5
x = 5
Number of binder = 5.
Number of cover = 11-5 = 6.
Final answer:
The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.
Explanation:
To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.
Equation 1 (total number of items):
b + n = 11
Equation 2 (total cost):
$6 × b + $2.50 × n = $45
In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.
PLS HELP ASAP. WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
Answer:
c
each sidelength is the same, lwh, 27
Answer:
C.
LxWxH=V
V = S^3
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?
PLEASE PLEASE HELP. 50 POINTS AND BRAINLY
Answer:
The with and length of the original rectangle are:
width: 20 ft
Length: 30 ft
Step-by-step explanation:
Lets check
Yes, 30 is 10 longer then 20,
the area of the original is 600
if it was 40 and 30 then it would equal 1200
log(x-1)+log(x+2)=log12
Answer:
x = 3
Step-by-step explanation:
The solution to the equation is x = (-1 + √(57))/2.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the logarithmic identity log(a) + log(b) = log(ab), we can simplify the left side of the equation:
log(x - 1) + log(x + 2) = log((x - 1)(x + 2))
So the equation becomes:
log((x - 1)(x + 2)) = log 12
Using the logarithmic identity log(a) = b is equivalent to a = 10^b, we can rewrite the equation as:
(x - 1)(x + 2) = 12
Expanding the left side and simplifying, we get:
x² + x - 14 = 0
Using the quadratic formula, we find:
x = (-1 ± √(1 + 4 x 14))/2
x = (-1 ± √(57))/2
Since we can't take the logarithm of a negative number, we discard the negative solution and obtain:
x = (-1 + √(57))/2
Therefore,
The solution to the equation is x = (-1 + √(57))/2.
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Tory and Emilios motor boat to travel at the same speed. Tory pilots her boat 50 km before docking. Emilio continues for another 2 hours traveling a total of 120km before docking. How long did it take Tory to navigate the 50 km
Answer: 1.43 hours
Step-by-step explanation:
Let their speeds be = x km/h
The time taken by Tory will be= 50/x hours to dock
Emilio pilots for another 2 hours and this will be= (50/x)+2) hours
Emilio pilots 120 km for (50/x)+2) hours
d/t=r
120/(50/x) +2) =x
120 = [x(50/x) +2)]
120= 50+2x
2x= 120-50
2x = 70
x= 70/2
x = 35
Tory takes 50/35 = 1.43 hours for 50 km.
I need help on my math hw pls :(
Answer:
Put one dot on the line above 18 directly where the numbers are on the left side line. Put the second dot on line 2 for X axis and y axis is the line above 20
Step-by-step explanation:
kitchen sets at a furniture store.
Can the height of the chairs be represented as a function of the height of the table?
Table (centimeters)
75
Chairs (centimeters)
46
74
44
76
47
75
72
77
76
71
Yes or no?
Answer: yes
Step-by-step explanation:
You earn $32 for washing 8 cars. How much do you earn for washing 7 cars?
Answer:
$28
Step-by-step explanation:
First, you would want to find the amount of money that you earn per car. So, for each car you make $4. Then, multiply 7 times 4 and get 28.
$28 is the answer!
what is 100 percent if 27 is 45%
Answer:
YOUR WRONG 27 IS NOT 45%
Step-by-step explanation:
[tex]\frac{27}{100}[/tex]=27%
100%=1 whole
Answer:
It is 60
Step-by-step explanation:
A better way to rephrase the problem is:
"what is 100 percent of something if 27 is 45% of something. ?"
so
100% * X = ?
given: 27 = 45% * X
Solve for X,
27/ 45% = X
X = 27 / 0.45 = 60
so. 100% * X = 100% * 60 = 1 * 60 = 60
How many centimeters are in 3 meters
Answer: 300 Centimeters
Step-by-step explanation: 1 meter is 100 cenimeters so you multiply the number of meters by 100 to get it into centimeters so 3 * 100 = 300
The owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 days will exceed $7000? Round to four decimal places.
Answer:
0.0853
Step-by-step explanation:
Step 1
The first step would be to find the Z score
Formula for Z score is given as
z = x – μ /( σ ÷ √n)
Where
x = observed value
μ = mean
σ = Standard deviation
n = sample size
In the question we were given the above values as :
x = observed value = $7500
μ = mean = $7200
σ = Standard deviation = $1200
n = samples size = 30
Z score (z) = $7500 – $7200 /($1200÷ √30)
Z score = $300/ ( $1200 ÷ √30)
Z score = 1.3693063938
Approximately, the Z score = 1.37
Step 2
Using this formula:
1 - P(z > 1.37)
Using the Standard distribution table,
P(z > 1.37) is given as
0.9146565
Therefore,
1 - P(z > 1.37)
= 1 - 0.9146565
= 0.0853435
In the question we were asked to round it up to 4 decimal places
= 0.0853
Therefore, the probability that the mean daily revenue for the next 30 days will exceed $7000 is 0.0853.
What is the answer plz help
Answer:
y = 5x + 4
Step-by-step explanation:
The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.