Find the value of x and y.
A. X=73.3, Y=15.3
B. X=73.3, Y=20.7
C. X=100, Y=10
D. X=100, Y=26
Thank You!
Answers
Related Questions
If 5kg more than 3 times mac’s mass is decreased by twice his mass the result is 60 kg. What is mac’s mass?
Answers
(3x+5)-(2x)=60
3x+5-2x=60
x=60-5
x=55
Therefore, Mac is 55 kg
Hope I helped :)
Mac's mass can be found by setting up the equation 3m + 5kg - 2m = 60kg, simplifying to m + 5kg = 60kg, and solving for m to get m = 55kg. Therefore, Mac's mass is 55kg.
The equation, according to the problem statement, is: 3m + 5kg - 2m = 60kg. This simplifies to m + 5kg = 60kg, from which we can subtract 5kg from both sides resulting in m = 55kg. So, Mac's mass is 55kg.
Steps to solve the problem:
Let m represent Mac's mass.
Write the equation according to the problem statement: 3m + 5kg - 2m = 60kg.
Simplify the equation: m + 5kg = 60kg.
Subtract 5kg from both sides: m = 55kg.
Conclude that Mac's mass is 55kg.
I need help with a math question on my quick check. 0.24 x 13 A. 3.12 B. 4.62 C. 4.12 D. 3.10
Answers
This problem is simply a multiplication problem. All we have to do in this case is to multiply 0.24 by 13, or the other way around multiply 13 by 0.24. We can do this in the calculator which gives us:
13 x 0.24 = 3.12
Answer:
A. 3.12
a person mailing postcards earns a fixed amount for each postcard he mails yesterday his hourly wage was $14 an hour if he worked 5 hours yesterday and mailed 300 postcards how much does he earn for each postcard mailed? show you work
Answers
He mailed 300 postcard, so each postcard mailed is $0.2333..
BTW, i actually think the question is incomplete, so this may actually be a wrong answer.
For each postcard person gets $14/60 or $0.2333.
What is ratio?Ratio is basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, there ratio will be a:b .
Given that,
Wage for 1 hour = $14,
Since,
The person mailed 300 postcards in 5 hours,
therefore, in 1 hour 60 postcards will be mailed.
Person gets $14 for 60 postcards ,
So for 1 postcard person will get $14/60 or $0.2333 .
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I conceived on september 27 when will the test show the results
Answers
Which value of x makes the numerical sentence true? 25^ 1/2 × 5 ^–3 = 5 ^x
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1/2=0.5
0.5*0.008=0.004
5/0.004=1250
(5^2)1/2 × 5^–3 = 5^x
5^1 × 5^–3 = 5^x
5^-2 = 5^x
-2 = x
or
x = -2
answer
x = -2 makes the numerical sentence true
Ria is an Indian student who was admitted to a US university. Her annual tuition is $42,000. She has to pay her tuition fees in US dollars. She needs to calculate how many Indian rupees she will need to buy one dollar. The dollar to rupee exchange rate is 63.76 and rupee to dollar exchange rate is 0.015. How many Indian rupees will Ria need to buy one dollar?
50.00 rupees
56.00 rupees
63.76 rupees
76.63 rupees
Answers
1 rupee = 0.015$ (rupee to dollar exchange)
To buy one dollar, Ria will need 63.76$
Answer: (c)
Now, Ria's annual fees is $42,000. To know how much this is in dollars, use cross multiplication as follows:
tuition fees = (42,000*63.76) / (1) = 2,677,920 rupees
Ria will need 2677920 Rupees to pay her tuition fees
Data;
Tuition fee = $42,000$1 = 63.76 rupees$1 rupees = $0.015How Many Rupees will she need to buy a Dollar?We need to convert the currency from dollars to rupees
From the data given in the question, $1 is equivalent to 63.7 Rupees.
This information can further be used to determine how many Rupees she needs to pay her Tuition fees.
[tex]\$1 = 63.76 Rupees\\\$42,000 = x\\x = 42000 * 63.76\\x = 2677920[/tex]
Ria will need 2677920 Rupees to pay her tuition fees
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Rearrange the formula v = GM r for r.
Answers
The correct formula for [tex]\( r \)[/tex] rearranged from [tex]\( v = \frac{GM}{r} \) is \( r = \frac{GM}{v} \)[/tex].
To rearrange the formula [tex]\( v = \frac{GM}{r} \)[/tex] to solve for [tex]\( r \)[/tex], follow these steps:
1. Start with the given formula:
[tex]\[ v = \frac{GM}{r} \][/tex]
2. Multiply both sides of the equation by [tex]\( r \)[/tex] to get rid of the denominator:
[tex]\[ vr = GM \][/tex]
3. Divide both sides of the equation by [tex]\( v \)[/tex] to isolate [tex]\( r \)[/tex]:
[tex]\[ r = \frac{GM}{v} \][/tex]
This gives us the rearranged formula for [tex]\( r \)[/tex] in terms of [tex]\( G \), \( M \), and \( v \)[/tex]
A computer password consists of 3 letters followed by two digits. none of the letters or digits repeat. how many different passwords can be created
Answers
Answer:
67,600
Step-by-step explanation:
find the value of v......
Answers
The sides of an equilateral triangle are increasing at a rate of 10 cm/min. at what rate is the area of the triangle increasing when the sides are 30 cm long?
Answers
[tex]Area= \frac{1}{2} ab\sin C= \frac{1}{2} s^2\sin C[/tex]
Since the sides of an equilateral triangle are equal.
Differentiating the area of the triangle, we have:
[tex] \frac{dA}{dt} = \frac{dA}{ds} \cdot \frac{ds}{dt} =(s\sin C) \frac{ds}{dt} [/tex]
where
[tex] \frac{ds}{dt} =10\,cm/min \\ s=30 \, cm[/tex]
[tex]\therefore \frac{dA}{dt} =(30\sin60)\times10=300\sin60=259.8\, cm^2/min[/tex]
Therefore, the rate is the area of the triangle increasing when the sides are 30 cm long is 259.8 cm^2 / min
find the greatest common factor of 15x^2y^3 and -20x^3yz
Answers
The greatest common factor of [tex]\(15x^2y^3\)[/tex] and [tex]\(-20x^3yz\)[/tex] is [tex]\(5x^2y\)[/tex].
To find the greatest common factor (GCF) of [tex]\(15x^2y^3\)[/tex] and [tex]\(-20x^3yz\)[/tex], we need to identify the highest power of each common factor that both terms share.
List the prime factors of each term:
[tex]\(15x^2y^3 = 3 \times 5 \times x^2 \times y^3\)[/tex]
[tex]\(-20x^3yz = -1 \times 2 \times 2 \times 5 \times x^3 \times y \times z\)[/tex]
Identify the common factors:
Common factors: [tex]\(5\), \(x^2\), \(y\)[/tex]
Find the lowest exponent for each common factor:
For (5), it appears in both terms, so we use the smaller exponent, which is [tex]\(5^1\)[/tex].
For [tex]\(x^2\)[/tex], it appears in both terms, so we use the smaller exponent, which is [tex]\(x^2\)[/tex].
For (y), it appears in both terms, so we use the smaller exponent, which is [tex]\(y^1\)[/tex].
Multiply the common factors:
[tex]\(GCF = 5 \times x^2 \times y = 5x^2y\).[/tex]
So, the greatest common factor of [tex]\(15x^2y^3\)[/tex] and [tex]\(-20x^3yz\)[/tex] is [tex]\(5x^2y\)[/tex].
A solution containing 30 percent juice is mixed with a solution containing 10 percent juice to make 100 gallons of a 12 percent juice mixture. how much of the 30 percent juice solution was used
Answers
0.30x+0.10(100-x)=100*0.12
0.3x+10-0.1x=12
0.2x=2
x=10
10 gallons of 30 percent juice should be used.
10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of 30% juice and y represent the amount of 10% juice, hence:
x + y = 100 (1)
Also:
0.3x + 0.1y = 0.12(100) (2)
From eqn 1 and 2:
x = 10, y = 90
10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.
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Show that each property of matrices is true for all 2 by 2 matrices scalar distributive
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Option 1: $30 per month and $100 membership fee. Option 2: $25 per month and $150 membership fee.
Michael is trying to determine which tennis club to join. If Michael chooses option 2, for which month will his total cost for option 2 be less than his total cost for option 1? A) month 8 B) month 9 C) month 10 D) month 11
Answers
Let us say that m is the number of months. So that the equations for option 1 (O1) and option 2 (O2) are:
O1 = 30 m + 100
O2 = 25 m + 150
TO determine this, we equate O1 and O2 so that:
30 m + 100 = 25 m + 150
5 m = 50
m = 10
So at the 10th month, the cost for both options are equal. So we select month 11.
Answer:
D) month 11
What proportion of a normal distribution corresponds to z scores greater than 1.04?
Answers
Final answer:
The proportion of a normal distribution for z scores greater than 1.04 is 0.1492, which is found by subtracting the area to the left (0.8508) from the total area under the curve (1).
Explanation:
To find the proportion of a normal distribution that corresponds to z scores greater than 1.04, we must look up the area to the left of the z-score using a z-table or a standard normal distribution table. Once we have the area to the left, we can calculate the area to the right by subtracting this value from 1 (since the total area under the curve is 1). For a z-score of 1.04, the z-table shows that the area to the left is approximately 0.8508. Therefore, the proportion that is greater than a z-score of 1.04 is 1 - 0.8508, which equals 0.1492.
The standard normal distribution (Z~N(0,1)) has a total area of 1 under the curve, and it is symmetric about the mean, which is 0. Z-scores give us a way to determine how many standard deviations an observation is from the mean. Additionally, common z-scores used to determine confidence intervals or the proportion of observations within a certain range are tied to the percentage areas under the curve. For example, a z-score of ±1 encompasses approximately 68% of the data, ±2 about 95%, and ±3 approximately 99.7%.
what is the equation of the line x-3y = 18 in slope-intercept form ?
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Write a 10 digit number such that the first digit tells how many zeros
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20 points! If u can provide an explanation that would be great if not just tell me how certain that's the answer. Thanks a bunch
Answers
Let
x = number of trays of corn muffins
y = number of trays of bran muffins
Given info: "baking a tray of corn muffins takes 4 cups of milk and 3 cups of wheat flour"
If we focus on the milk only then baking x trays of corn muffins means we use up 4*x (or simply 4x) cups of milk. Focus now on the wheat flour and it takes 3*x or 3x cups of wheat flour
Also given: "Baking a tray of bran muffins takes 2 cups of milk and 3 cups of wheat flour"
So we use up 2y cups of milk and 3y cups of wheat flour
-----------------
So far we have used 4x cups of milk for the corn muffins plus 2y more cups of milk for bran muffins giving a total of 4x+2y cups of milk used. We only have 16 cups of milk which means we can say this
4x + 2y <= 16
where the "<=" symbol without quotes means "less than or equal to". That inequality above is one of the constraints placed.
-----------------
Another constraint is this inequality
3x+3y <= 15
because
* we use 3x cups of wheat flour for the corn muffins
* we use 3y cups of wheat flour for the bran muffins
* we have a max of 15 cups of wheat flour
-----------------
Additional contraints are:
x >= 0
y >= 0
indicating that we cannot have x or y be negative
-----------------
The four constraints are:
4x + 2y <= 16
3x+3y <= 15
x >= 0
y >= 0
If you graph all of these inequalities and do the proper shading, you'll get what you see in the attached image. Specifically I'm talking about the blue shaded region. This region is known as the feasible region.
Now turn your attention to the red corner points aka the vertices. These points will be plugged into the objective function
P(x,y) = 3x+2y
This represents the profit (in dollars) of making x trays of corn muffins and y trays of bran muffins.
3x = 3*x = profit from just the corn muffins only
2y = 2*y = profit from just the bran muffins only
3x+2y = total profit (selling both corn and bran muffins)
The four corner points are:
A = (3,2)
B = (0,5)
C = (0,0)
D = (4,0)
Plug each of these points into P(x,y) = 3x+2y
-----------------------------
Plug in A = (x,y) = (3,2)
P(x,y) = 3x+2y
P(3,2) = 3*3+2*2
P(3,2) = 13
We earn a profit of $13 if we sell 3 trays of corn muffins and 2 trays of bran muffins
-----------------------------
Plug in (x,y) = (0,5) which is point B
P(x,y) = 3x+2y
P(0,5) = 3*0+2*5
P(0,5) = 10
The profit dropped to $10, so we can ignore point B. So far point A leads to the most profit.
-----------------------------
Plug in point C, which is (x,y) = (0,0)
P(x,y) = 3x+2y
P(0,0) = 3*0+2*0
P(0,0) = 0
The profit drops even further. Ignore this point.
-----------------------------
Plug in point D: (x,y) = (4,0)
P(x,y) = 3x+2y
P(4,0) = 3*4+2*0
P(4,0) = 12
The profit has gone back up but not at the same height as $13 back for point A. So we can cross this off the list too
-----------------------------
The max profit happens at point A which again was
(x,y) = (3,2)
x = 3 ----> selling 3 trays of corn muffins
y = 2 ----> selling 2 trays of bran muffins
----------------------------------------------------------
----------------------------------------------------------
So the final answer is choice A "3 trays of corn muffins and 2 trays of bran muffins"
Which of the following expressions is a polynomial?
4a3+3a2+5a-9
32
y-3
x2-4x-2
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A sample of n = 9 scores is obtained from a population with m = 70 and s = 18. if the sample mean is m = 76, then what is the z-score for the sample mean?
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wich of the following is the correct graph of solution to the inequality -8 >-5x+2>-38
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-5x > -40
x < 8
-5x + 2 < -8
-5x < -10
x > 2
so the inequality becomes
2 < x < 8
so the graph will be a straight line with open circles on 2 and 8 and shading in between these values.
What is (-3+2i)(-6-8i)
Answers
First, outside, inside last
18 +24i - 12i + 16
(two i = -1)
18 - 12i + 16 is your answer
hope this helps
Use the conversion factor 4 quarts / 1 gallon to convert 5.25 gallons to quarts
Answers
Answer: 21 quarts
Step-by-step explanation: In this problem, we are asked to convert 5.25 gallons into quarts. To convert gallons into quarts, we use the conversion factor for gallons and quarts.
Conversion factor ⇒ 4 quarts = 1 gallon
Next, notice that we are going from a larger unit "gallons" to a smaller unit "quarts" and when we go from a larger unit to a smaller unit we multiply.
We will multiply 5.25 by the conversion factor which is 4 to get 21 quarts.
Therefore, 5.25 gallons is equal to 21 quarts.
Convert 5460 feet per minute to miles per hour. Round to the nearest whole number
Answers
A $360,000 building is depreciated by its owner. the value y of the building after x months is: y = 360,000 – 1,500 x. how many months will it take until it is completely depreciated
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To find when the building will be completely depreciated, you solve for x in the equation y = 360,000 - 1,500x by setting y to 0. The solution is x = 240, meaning the building will be totally depreciated after 240 months or 20 years.
Explanation:In this case, you are looking to find the value of x (the number of months) when the value of the building (y) becomes 0. The equation given is y = 360,000 - 1,500x. Set y = 0 and solve for x
First, replace y with 0 in the given equation: 0 = 360,000 - 1,500x. Next, move the term with x to the other side by adding 1,500x to both sides, which gives: 1,500x = 360,000.Finally, solve for x by dividing both sides of the equation by 1,500. This gives you: x = 360,000 / 1,500 = 240.So, the building will be completely depreciated after 240 months or 20 years.
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What is the value of x? (7x-8) (6x+11)
Answers
7x-8 = 0 then x = 8/7
6x+11 = 0 then x = -11/6
answer
x = -11/6 and x = 8/7
Answer:
[tex]x=-\dfrac{11}{6},\dfrac{8}{7}[/tex]
Step-by-step explanation:
Given: [tex](7x-8)(6x+11)[/tex]
Set the expression to 0 to solve for x
[tex](7x-8)(6x+11)=0[/tex]
Set each factor to 0 and solve for x
7x-8 = 0 or 6x+11 = 0
7x = 8 or 6x = -11
[tex]x=\dfrac{8}{7}[/tex] or [tex]x=-\dfrac{11}{6}[/tex]
hence, The values of x are [tex]x=-\dfrac{11}{6},\dfrac{8}{7}[/tex]
If f(x)=x^2+3x+5 what is f(3+h) ?
Answers
f(3+h)=(3+h)^2+3(3+h)+5
f(3+h)=9+6h+h^2+9+3h+5
f(3+h)=23+9h+h^2
f(3+h) = (3+h)^2 + 3(3+h) + 5 ... replace every x with 3+h
f(3+h) = (3+h)(3+h) + 3(3+h) + 5
f(3+h) = (3^2+2*3*h+h^2) + (3*3+3*h) + 5
f(3+h) = (9+6h+h^2) + (9+3h) + 5
f(3+h) = 9+6h+h^2 + 9+3h + 5
f(3+h) = h^2 + (6h+3h) + (9+9+5)
f(3+h) = h^2+9h+23
in a simple random sample of 48 men, the mean wrist circumference of the men is 19.3 centimeters with a standard deviation of 1.2 centimeters. Round your answer to the nearest hundredth.
Which interval is the 95% confidence interval for the mean wrist circumference for all men?
18.99,19.61
18.96, 19.64
12.85, 19.75
19.14, 19.46
Answers
The 95% confidence interval for the population mean mu is (18.96, 19.64)
--------------------------------------------------------------
--------------------------------------------------------------
Work Shown:
xbar = 19.3
s = 1.2
n = 48
z = 1.960 (use a calculator or table to compute this critical value)
Lower Limit L
L = xbar - z*(s/sqrt(n))
L = 19.3 - 1.960*(1.2/sqrt(48))
L = 18.9605180417166
L = 18.96
Upper Limit U
U = xbar + z*(s/sqrt(n))
U = 19.3 + 1.960*(1.2/sqrt(48))
U = 19.6394819582836
U = 19.64
The confidence interval is therefore (L,U) = (18.96, 19.64)
The 95% confidence interval for the mean wrist circumference for all men is 18.91 to 19.69 centimeters.
Explanation:To calculate the confidence interval for the mean wrist circumference, we can use the formula: CI = x ± t(s/√n), where CI is the confidence interval, x is the sample mean, t is the t-value corresponding to the desired confidence level, s is the sample standard deviation, and n is the sample size.
In this case, the sample mean is 19.3 centimeters, the sample standard deviation is 1.2 centimeters, and the sample size is 48. We can find the t-value for a 95% confidence level using a t-table or calculator. Assuming a normal distribution, the t-value is approximately 1.96. Plugging in these values into the formula, we get:
CI = 19.3 ± 1.96(1.2/√48) = 19.3 ± 0.3956
Therefore, the 95% confidence interval for the mean wrist circumference is approximately 18.91 to 19.69 centimeters.
Which symbol creates a true sentence when x equals 3?
8•3-4x_7(10-x)
A.<
B.=
C.>
Answers
Let's write it with the X as a 3
8*3-4*3_7(10-3) Now let's solve it 8*3 is 24 and 4*3 is 12 so then we do 24-12 which is 12. So now we have 12_7(10-3) so let's solve the other half which is 10-3 is 7 times 7 (since parenthesis can also mean multiplication) which is 49 so we now have 12_49 which means the answer is A.
Hope this helps!
What is the value of x? Answer it as a decimal
Answers
71.5 x = 49.5 * 97.5
71.5 x = 4826.25
x = 4826.25 / 71.5
x = 67.5