Answer:
To solve for x, isolate it from the other terms.
Add 1 to both sides.
1/2x - 1 + 1 = 4 + 1
Combine like terms.
1/2x = 5
Multiply both sides 2.
x = 5(2)
x = 10
The solution is 10.
Hope this helps! :)
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet
Answer:
Step-by-step explanation:
Let the other leg = x
x^2 + 4^2 = (3x)^2
x^2 + 4^2 = 9x^2
4^2 = 9x^2 - x^2
16= 8x^2
16/8 = x^2
x^2 = 2
x = sqrt(2)
The lengths of the sides
x = sqrt(2)
other side =4
hypotenuse = 3*sqrt(2)
x = 1.4
other side= 4
hypotenuse = 3*1.4142
hypotenuse = 4.2
whats the answer can someone answer please
Answer:
8. b
9. d
Step-by-step explanation:
P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').
Answer:
(4- x)(x - 4) = 16 - x2 help me sir please
Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?
Answer:
3
Step-by-step explanation: because 15 divided by 5 equals 3
Evaluate the algebraic expression if w= -0.5, x = 2, y= -3, and z = 2.5.
2w^2 - 3x + y - 8z
Answer:
-28.50
Step-by-step explanation:
Given the algebraic expression, 2w² - 3x + y - 8z, where w = -0.5, x = 2, y= -3, and z = 2.5:
Substitute the given values for the variables to evaluate the algebraic expression.
2w² - 3x + y - 8z
= 2(-0.5)² - 3(2) + (-3) - 8(2.5)
= 2(0.25) - 6 - 3 - 20
= 0.50 - 6 - 3 - 20
= -28.50
Therefore, 2w² - 3x + y - 8z = -28.50.
Answer:
-28.5
Step-by-step explanation:
Substitute the values for their given variables and evaluate.
[tex]2w^2-3x+y-8z\\\\2(-0.5)^2-3(2)+(-3)-8(2.5)\\\\2(0.25)-6-3-20\\\\0.5-6-3-20\\\\-28.5[/tex]
7(x+7)≤56 plz help im bad at math
Answer:x[tex]\geq[/tex]1
Step-by-step explanation:
remove the brackets
7x+49≤56
collect like terms
7x≤56-49
7x[tex]\geq[/tex]7
divide both sides by 7
x[tex]\geq[/tex]1
What is the least common denominator of
1/3 and 7/9
Answer:
9
Step-by-step explanation:
9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
hole?
25.6°
39.4°
64.3°
65.0°
Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lenghts and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
Hence, in this problem, we have that:
[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]
[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]
[tex]x = \arcsin{0.6344}[/tex]
x = 39.4º.
Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:
A = 180 - (115 + 39.4) = 25.6º.
More can be learned about the law of sines at https://brainly.com/question/27174058
#SPJ1
Answer:
25.6
Step-by-step explanation:
I got it right
please help :,) it’s due tomorrow and i’m so confused
I cant really interpret it for you, but here's what all the numbers mean in context:
Constant
Coefficient
This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.The other 3 values for the constant can usually be ignored.
Wins
Coefficient
This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.SE Coefficient
This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.T-value
Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.Before moving on, I'll use these hypothesis:
H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁ slope ≠ 0 (alternative hypothesis, there is a relationship)P-value
This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.Alpha value
The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.Other things
S
This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etcR²
This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.Adjusted R²
This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.Conclusion
Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.
However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.
15-3x when x = to -2
Answer:
21 is the answer
Step-by-step explanation:
Given:
x = -2Let's use the given clue to solve the problem.
15 - 3x = Solution
=> 15 - 3(-2) = Solution
=> 15 + 6 = Solution
=> 21 = Solution
After working on this problem, we can conclude that 21 is our answer.
- [tex]GenuisUser[/tex] -
Answer:
21
Step-by-step explanation:
So, when given a question like this, we must plug in the number give for "x" in the equation.
[tex]15-3x = 15-3(-2)[/tex]
Now, we can simplify using PEMDAS
[tex]15+6 = 21[/tex]
Dont forget that a negative times a negative equals a positive!
4 4/6 + 3 7/8 = ? ........................................
Answer:
[tex]8\frac{13}{24\\}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]
[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]
PLease help middle school math 40 points
Answer:
b
Step-by-step explanation:
2/5 * 2x = 4/5
2/5 * 3 = 6/5 = 1 1/5
Answer:
B.
Step-by-step explanation:
Using the distributive property (multiplying 2/5 to both 2x and 3) we can get the answer 4/5x + 1 1/5.
I hope this helps :)
Find the 6th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Step-by-step explanation:
geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).
s1 = 5
s2 = s1 × 1/3 = 5 × 1/3
s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9
sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)
s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243
What is the quotient of -9 Divided by 3 ?
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\text{\bf Guide to remember}\downarrow\\\large\textsf{2 negatives = positive}\\\large\textsf{1 negative \& 1 positive = negative}\\\large\textsf{2 positives = positve}\\\large\textsf{1 positive \& 1 negative = negative}[/tex]
[tex]\large\text{This means your answer will most likely be a \boxed{\text{negative}} because}\\\large\text{you have a negative number (-9) \& a positive number (3).}[/tex]
[tex]\large\boxed{\mathsf{-9 \div 3}}\\\large\boxed{\mathsf{= \dfrac{-9}{3}}}\\\large\boxed{\mathsf{= \dfrac{-9\div3}{3\div3}}}\\\large\boxed{\mathsf{= \dfrac{-3}{1}}}\\\large\boxed{\mathsf{= -3\div 1}}\\\large\boxed{\mathsf{= -3}}\\\\\\\\\\\huge\boxed{\text{Therefore. your answer is: \boxed{\textsf 3}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]factor by grouping x^3 − 4x ^2 + 6x − 24
Answer:
[tex](x-4)(x^2+6)[/tex]
Step-by-step explanation:
x³-4x²+6x-24 is our equation
Once we factor it we get
[tex](x-4)(x^2+6)[/tex]
what is a teachers most favorite tree
Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?
Answer:
Sarah mowed 1 lawn in 3 hours
Step-by-step explanation:
3 lawns divided by 3 is 1 lawn
9 hours divided by 3 is 3 hours
Answer:
See below:
Step-by-step explanation:
So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:
[tex]\frac{3}{9}=3:9[/tex]
Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.
Have a nice day and feel free to ask me if you need more help :D
(5x-7)^2-1=8 solve for x
Answer:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1 - Simplify by expanding the brackets:
[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]
Step 2 - Subtract 8 from both sides so the equation equals 0:
[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]
Step 3 - Use the quadratic formula:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]
Plug variables in:
[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]
[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]
So x is either:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]
[tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]
[tex]x = \frac{4}{5}[/tex]
Hope this helps!
5(x+6)-8x=3(10-x)n no solution, one solution, or all real numbers are solutions
Answer:
Infinite, any number
Step-by-step explanation:
Simplify
30 - 3x = 30 - 3x
Solve the equation for x:
x2 = 196
Answer: x= 1/196
Step-by-step explanation:
You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?
Answer:
You need 1 cup of sugar.
Step-by-step explanation:
16/20 = 4/5
1 1/4 = 5/4
5/4 x 4/5 = 1
You need 1 cup of sugar.
What is 20% of $1575.00
step:
20% = 20/100
of = ×
20/100 × $1575.00
answer : $315
Step:
20% = 20/100
of = ×
20/100 × $1575.00
Answer : $315
5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights
3 7/8 + 6 5/8 =
9 12/8 = 10 4/8
10 4/8 = 10 1/2
The answer is 10 1/2
If you are not looking for a mixed fraction it should be..
21/2
Choose the equation that is best represented by the graph.
Answer:
D
Step-by-step explanation:
Because the y-intercept is -3
PLEASE HELP WITH THIS ONE QUESTION
FACTOR THE FOLLOWING COMPLETELY:
A cable is 40 decimeters long. How long is the cable in meters?
Be sure to include the correct unit in your answer.
Answer:
4 Meters
Step-by-step explanation:
Formula
divide the length value by 10
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Shift 7 units down
Step-by-step explanation:
Shift 7 units down
A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used
Answer:
Step-by-step explanation:
37,4gam
Please help if you can I'll even give you a brainiest answer.
A business valued at $96 000 is purchased for a down payment of 25% and payments of $4000 at the end of every three months. If interest is 9% compounded monthly,
what is the size of the final payment?
Write your answer as 2,569.43.
Size of final payment is $6392.43
Given that formula for compound interest is P(1+r/n[tex])^{nt}[/tex]
where P is initial principal
r is interest rate
n is compound times per period
t is time in years
We find all the variables in the formula in order to get our answer.
Initial principal = 96000 less 25%= 72000
interest rate = 9%
number of compound times= 12
time in years =4.25 years (whole period is 4.5 years since number of payments to complete balance will take 54 months)
Hence principal and CI after 4 years and 3 months(the second to last payment)
72000(1+0.09/12)^12x4.25=$105,393.6
We use $105,393.6 as our principal to calculate the whole interest and principal for the period in order to find last payment
105393.6(1+0.09/12)^12x0.25=$107,786.03
interest for the final month = $107786.03-$105,393.6=$2392.43
To get our final payment, we add the principal payment of $4000 to final compounded interest =$6392.43