Step-by-step explanation:
12x+6(24-x)=7*24
12x+144-6x=168
12x-6x =168-144
6x=24
/6
x=4 ounces 12.00%
20 ounces 6.00%
Given m || n, find the value of x and y.
(3x-4)
(6x-5)
Answer:
X=21 and Y=121
Step-by-step explanation:
With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.
To solve this problem algebraically we want to add (3x-4) and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like [tex]3x+6x-5-4=180[/tex]. We then want to add like terms which will leave us with [tex]9x-9=180[/tex]. Now we want to get 9x by itself by adding 9 on each side which leaves us with [tex]9x=189[/tex]. To isolate x we need to divide on each side by 9 which finally leaves us with [tex]x=21[/tex]
Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: [tex]y=6x-5[/tex] and with the value of x found we can plug in the value to get [tex]y=6(21)-5[/tex] which simplifies to [tex]y=126-5[/tex] then to [tex]y=121[/tex].
Please help answer this question!:)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The first step I would do is to subtract the 2x from both sides so the answer is choice D.
The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?
Answer:
B
Step-by-step explanation:
To answer this question, we can just pick a couple of points and see which table gives the correct values.
Test Value 1)
Let's let m be 0.5.
So, our output will be:
[tex]-(T(0.5)+G(0.5))[/tex]
From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:
[tex]=-(1.25+4.9)[/tex]
Add:
[tex]=-6.15[/tex]
So, when m is 0.5, our output should be -6.15.
The only choice that does this is B. So, B is our correct answer!
However, let's do another test point just to confirm.
Test Value 2)
Let's let m be 1.2.
So, our output will be:
[tex]-(T(1.2)+G(1.2))[/tex]
From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:
[tex]=-(3+11.76)[/tex]
Add:
[tex]=-14.76[/tex]
The only choice that does this is B. So, we are confident that B is our answer.
And we're done!
Answer:
B
Step-by-step explanation:
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.
Single Policyholders Married Policyholders
n1 = 500 n2 = 800
Number making claims = 95 Number making claims = 80
(a) Use a level of significance a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
(b) Provide a 95% confidence interval for the difference between the proportions for the two populations.
Answer:
a
The determination is
There is sufficient to conclude that proportion of the single policy
b
The 95% confidence interval is [tex] 0.0498 < p_1 - p_2 < 0.1302 [/tex]
holders is difference from the proportion of married policy holders
Step-by-step explanation:
From the question we are told that
The sample size for single policy holders is [tex]n_1 = 500[/tex]
The number of single police holders making claim is k = 95
The sample size for married policy holders [tex]n_2 = 800[/tex]
The number of double police holders making claim is u = 80
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the
normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
The sample proportion of single police holders making claim is
[tex]\r p_ 1 = \frac{k}{n_1}[/tex]
=> [tex]\r p_ 1 = \frac{95}{500}[/tex]
=> [tex]\r p_ 1 = 0.19[/tex]
The sample proportion of married police holders making claim is
[tex]\r p_ 2 = \frac{u}{n_2}[/tex]
=> [tex]\r p_ 2 = \frac{80}{800}[/tex]
=> [tex]\r p_ 2 = 0.1[/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]\r p = \frac{k + u}{n_1 + n_2}[/tex]
=> [tex]\r p = \frac{95 + 80}{500 + 800}[/tex]
=> [tex]\r p = 0.1346 [/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\r p_1 - \r p_2 }{ \sqrt{ \r p (1 - \r p )* [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]
=> [tex]z = \frac{0.19 - 0.1 }{ \sqrt{0.1346 (1 - 0.1346 )* [\frac{1}{500} + \frac{1}{800} ]} }[/tex]
=>[tex]z = 4.6256 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2* P(Z >4.6256 )[/tex]
From the z table [tex]P(Z >4.6256 ) = 0 [/tex]
[tex]p-value = 2* 0 = 0[/tex]
From the calculation we see that the p-value < [tex]\alpha[/tex] so the null hypothesis is rejected
Hence there is sufficient to conclude that proportion of the single policy holders is difference from the proportion of married policy holders
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{ \frac{\r p_1 (1 -\r p_1)}{n_1} + \frac{\r p_2 (1 -\r p_2)}{n_2} }[/tex]
=> [tex]SE = \sqrt{ \frac{0.19 (1 -0.19)}{500} + \frac{ 0.1 (1 - 0.1)}{800} }[/tex]
=> [tex]SE =0.0205012[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.96 *0.0205012 [/tex]
=> [tex]E = 0.0402035[/tex]
Generally the 95% confidence level is mathematically represented as
[tex]\r p_1 - \r p_2 - E < p_1 - p_2 < \r p_1 - \r p_2 + E[/tex]
=> [tex]0.19 - 0.10 -0.0402035 < p_1 - p_2 < 0.19 - 0.10 + 0.0402035 [/tex]
=> [tex]0.09 -0.0402035 < p_1 - p_2 < 0.09 + 0.0402035 [/tex]
=> [tex] 0.0498 < p_1 - p_2 < 0.1302 [/tex]
Match each part of this algebraic expression with its appropriate description 12.1x - 4.7y + 6x + 1/6
Answer:Terms, like terms, constant(s),Variable (s),Coefficient(s)
Step-by-step explanation: 18.1x,4.7 and 1/6=Terms
The matched part with the respective appropriate description:
1) x and y → Variable(s)
2) 1/6 → Constant(s)
3) 12.1, 4.7, and 6 → Coefficient(s)
4) 12.1x and 6x → Like Terms
5) 12.1x, 4.7y, and 1/6 → Terms
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
We have the algebraic expression,
12.1x - 4.7y + 6x + 1/6.
From the definition,
x and y are the two variables.
And 12.1, 6 and -4.7 are the numbers in front of the variables.
So, 12.1, 6 and -4.7 are the coefficients.
And 1/6 is the constant.
So, 1) x and y → Variable(s)
2) 1/6 → Constant(s)
3) 12.1, 4.7, and 6 → Coefficient(s)
4) 12.1x and 6x → Like Terms
5) 12.1x, 4.7y, and 1/6 → Terms
Therefore, each part of the algebraic expression matched with its appropriate description.
To learn more about the expression;
brainly.com/question/24242989
#SPJ3
Help! I’ll mark you brainly and give extra points!!
Its in the file.
Hope it helps ;)
g(x) = 30x + 5
h(x) = 10x – 15
Find h(–3) + g(–5)
Answer:
The answer is: -190
Step-by-step explanation:
First, you need to input the -3 into the h(x) equation as follows:
h(-3) = 10(-3) - 15, then solve.
h(-3) = -30 - 15
h(-3) = -45.
Then you do the same for g(-5).
So, g(-5) = 30(-5) + 5
g(-5) = -150 + 5
g(-5) = -145.
Now you add the -45 and -145.
h(-3) + g(-5) = -45 - 145
h(-3) + g(-5) = -190.
=2 2/5 x 4 (What is the answer?)
Answer:
um 22 /20
is the question
if it's the case of factorised
than answer is 11/10
Answer:
48/5
Step-by-step explanation:
I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].
This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]
Determine the effective annual yield for each investment.
Then select the better investment. Assume 360 days in a year.
A. 9% compounded monthly
B. 9.25% compounded annually
The problem
divided by
appeared on a recent test. The problem was done incorrectly. Identify one error that the student made. Identify an additional error, different from your answer in Part A, that the student made.
Part C:
Write a complete sentence to explain how the two errors can be corrected.
Answer:
Step-by-step explanation:
In the given division, when 24.725 is divided by 215,
Step 1 is the wrong step.
Quotient in first step will be 0.1 .
Part C.
215) 24.725 (0.115
215
322
215
1075
1075
0
Therefore, the correct way to divide should be as agove.
Quotient after division should be 0.115.
If jimmy has 3 billion dollars and subtracts a dollar how much does he have
Answer:
2,999,999
Step-by-step explanation:
2,999,999
Step-by-step explanation:
dont need a explanation its obvious
Please write down the steps.
Answer:
are you beginer band
What does v equal? ;-;
Answer:
v=-3
Step-by-step explanation:
-1=1/3v
-1*3=v
-3=v
Answer:
Step-by-step explanation:
[tex]-1 = \frac{1}{3} v[/tex]
Multiply by 3
[tex]-3 = v[/tex]
answer pls , pls dont answer for points , ill report if u do ( btw will mark brainlest if right )
Answer:
Step-by-step explanation:
First you would find what the difference is between the school enrollment
you would do 1456 - 1234 = 222
Then you would divide 1234/1456 = 84.75% to see the total percentage
The increase however has a percentage of .18%
To check your work you would do .18 x 1234 = 222.12 ( round to the nearest whole number so it would just be 222) then add 1234+ 222 = 1456!
Answer:
you must hvae did it im so srry
Step-by-step explanation:
i never get brainlist so thanks anyways..... :(
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.
If the veterinarian gives a 30-pound dog 5 milligram of the medicine, which equation relates the weight, w, and the
dosage, o?
Question: The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight,w, and the dosage, d?
Answer: d= 1/50w
Explanation: I took the test in Edgenuity.
Hope this helps!
Find the equation of the line using the given information.
(x, y) = (-3,0) and (x, y) = (-3, 5) are points on the line
Pls help
Answer:
x 1 = -3
x2 = -3
y1 = 0
y2 = 5
The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.
So, the equation is x = -3.
Step-by-step explanation:
Given parameters:
The coordinates of points on the line;
(x, y) = (-3,0) and (x, y) = (-3, 5)
Unknown;
The equation of the line = ?
The equation of a line is usually expressed in the form y = mx + c
Where;
y and x are the coordinates
m is the slope
c is the y-intercept
Now we need to first find the slope of the line.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
(x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)
Input the parameters and solve;
Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex] = infinity
The line has an infinite slope.
The equation of the line is therefore x = c
x = -3
Josie buys o purse that costs $64.95. If the sales tax is 5.5%, what is the cost of the tax.
Answer:
3.57
Step-by-step explanation:
64.95×5.5/100=3.57
15 points PLEASE HELP
Kirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?
Answer:
27.50(80) is 2,200
2,200-396-175-264= 1,365
I think this is how u do it correct me if I'm wrong
If Georgina travels 455 km in 7 hours how far will she travel in 9 hours at the same rate
Answer:
585 km
Step-by-step explanation:
rate of speed formula: distance/time
455/7=65
65*9=585
Rewrite 1/5 barrel 1/2hour as a unit rate
Answer:5/8
Step-by-step explanation:i took the exam
Solve for p. 3/5(p - 3) = -4
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
What is the discriminant of the equation 3x^2-4=2x
Given equation : 3x² - 4 = 2x
We have to find discriminant of the equation [tex].[/tex]
⭆ 3x² - 4 = 2x
⭆ 3x² - 2x - 4 = 0
By comparing this equation with ax²+bx+c, we get
a = 3b = -2c = -4Discriminant (D) = b² - 4ac
⭆ D = (-2)² - 4(3)(-4)
⭆ D = 4 + 48
⭆ D = 52
Hope It Helps!Can someone help on the whole page please... really need help
Answer:
See attached
Step-by-step explanation:
The answer filled in the paper, refer to attachment
Julie recently drove to visit her parents who live 567 miles away. On her way there her average speed was 16 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 18 hours driving, find the two rates.
Answer:
Was there some missing information as if you do 16*18 you get 288 miles
Step-by-step explanation:
What are the measures of each interior and exterior angles of regular quadrilateral MNOP?
Answer:
A regular polygon is a polygon that is equilateral and equiangular.
The only regular quadrilateral is the square.
We know that all the interior angles of a square are 90° each, so we are fine with that.
Now, for the exterior angles.
If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.
Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:
this is:
360° - 90° = 270°
Below is an image as a guide of this.
Write the absolute value of each number. 1. -2/8 2. 3 ¾
Complete the statements.
8.703 dekagrams =_____
kilograms
100.3
_____= 10.03 hectometers
909.9
_____= 90,990 centiliters
Step-by-step explanation:
1. 0.08703 killograms
2. Decameters
3. Liters
Answer:1. 0.08703 killograms
2. Decameters
3. Liters
Step-by-step explanation:
What is qualitative data? Give an example.
Answer:
it is data that you can see or describe such as he is a boy
Step-by-step explanation:
What is | -8|
—16
-8
8
16
Answer:
8
Step-by-step explanation:
scince it has the lines that mean that it will always be positive.
Answer:
8
Step-by-step explanation:
Have a nice day!
when three or more numbers are multipiled the product is the same regardless of the order of the multiplicands
Answer:
Associative property of multiplication.
Step-by-step explanation:
