What is the answer to: 20 - 6x = 4x -15 = ?
Answer:
20 - 6x = 4x - 15
35 - 6x = 4x
35 = 2x
x = 15.5
The solution to the equation 20 - 6x = 4x -15 is x = 3.5.
To solve the equation 20 - 6x = 4x - 15,
20 - 6x = 4x - 15
To isolate the variable terms on one side, add 6x to both sides:
20 - 6x + 6x = 4x - 15 + 6x
20 = 10x - 15
Next, add 15 to both sides to further isolate the variable term:
20 + 15 = 10x - 15 + 15
35 = 10x
Finally, divide both sides by 10 to solve for x:
35/10 = 10x/10
3.5 = x
Therefore, the solution to the equation is x = 3.5.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
Katie has $600 in a savings account that earns 5% annually. The interest is not compounded. How much interest will she earn in 1 year ?
Answer:
$30
Step-by-step explanation:
The formula for interest is I = Prt
Principal = 600
Rate = 0.05 or 5%
Time: 1 year
600 x 0.05 x 1 = 30
She earned an interest of 30.
Simplify the expression:
3(2+8p)
A. 6+24p
B. 30p
C. 3(10p)
D. 6p+24
Answer:
A. 6+24p
Step-by-step explanation:
=(3)(2+8p)
=(3)(2)+(3)(8p)
=6+24p
=24p+6
A copy machine makes 136 copies in 4 minutes and 15 seconds. How many copies does it make per minute?
Answer:
The copy machine makes 32 copies per minute.
Step-by-step explanation:
Given that a copy machine makes 136 copies in 4 minutes and 15 seconds, to determine how many copies does it make per minute, the following calculation must be performed:
15 seconds = 0.25 minutes
136 / 4.25 = X
32 = X
Therefore, the copy machine makes 32 copies per minute.
Find Arc ABC pls I need help
Step-by-step explanation:
Arc AD = 70
< D = 98
So
Arc BC = 2 * < D ( relation between arc and inscribed angle)
= 2 * 98
= 196
Hope it will help :)❤
What is m∠1 in this ixl
Answer:
m<1 = 137
Step-by-step explanation:
Exterior angles thm:
41 + 96 = m<1
m<1 = 137
Solve. Between [0, 2pi]
2cos^2x+7cosx+3=0
9514 1404 393
Answer:
x = {2π/3, 4π/3}
Step-by-step explanation:
The equation can be factored as ...
(cos(x) +3)(2cos(x) +1) = 0
The solutions are the values of x where the factors are zero.
cos(x) +3 = 0
cos(x) = -3 . . . . . . no real solution
__
2cos(x) +1 = 0
cos(x) = -1/2
x = arccos(-1/2) = 2π/3
The other solution in the desired interval is ...
x = 2π -(2π/3) = 4π/3
The solutions are x∈ {2π/3, 4π/3}.
Determine if the following relations are functions. If they are functions, also state the domain and range.
Answer:
desculpa mas eu não sei a resposta mais eu vou ver se posso te ajudar taaa
The angle measures of a triangle are shown in the
diagram
60
What is the value of x?
Is B 30 right?
b is the correct answer u got it
Answer:
C. 30
Step-by-step explanation:
2x = 60
x = 30
Also because the right angle of a triangle which is the angle where (2x) is at is equal to 90 degrees always, so since one of the angles is 60 the other will be 30 because the three angles of a triangle add up to 180 degrees:
90 + 60 = 150
180 - 150 = 30
I need help with these, the answer options are as follows: always true, sometimes true, never true
Thank you!!
Julio bought a backpack for $40. The sales tax on his purchase was 6%. How much did Julio did the backpack cost Julio, including tax?
Answer:
The backpack costs $42.40.
Step-by-step explanation:
Answer: $42.40 is the backpack cost
Step-by-step explanation:
Find the properties of each Quadratic Function
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
Solve for x to the nearest degree.
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
a 300 gallon tank is initially full and water is being drained at a rate of 4 gallons per minute.
does the intercept involving time have any physical meaning in this problem? explain
Answer:
Yes, it's when the tank is out of water.
Step-by-step explanation:
t the following in order for the most area in the tails of the distribution. (a) Standard Normal Distribution (b) Student's t-Distribution with 5 degrees of freedom. (c) Student's t-Distribution with 20 degrees of freedom. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the correct answer below. (c), (a), (b) (b), (c), (a) (b), (a), (c) (a), (c), (b) (a), (b), (c)
Answer:
(b), (c), (a)
Step-by-step explanation:
The Most area in the tails of the distribution can be ordered as :
Student t-distribution with 5 degrees ( b ) Student's t-distribution with 20 degrees ( c )Standard Normal Distribution ( a )T-distribution is a continuous probability distribution that is applied when the population is small and when the population standard deviation is not given
Without calculating, which pyramid has the greater surface area? Explain
Answer:
Pyramid on the left
Step-by-step explanation:
It has bigger measurements and looks much bigger and wider than the one on the right.
find the absolute maximum absolute minimum of the function F(x)=(x^2-12x+32)^(1/3) on the interval [3,10]
9514 1404 393
Answer:
minimum: -∛4 ≈ -1.58740maximum: ∛12 ≈ 2.28943Step-by-step explanation:
The expression under the radical can be written in vertex form as ...
x^2 -12x +32 = (x -6)^2 -4
The function will be symmetrical about x=6. The minimum is at x=6 where we have ...
F(6) = ∛(-4)
The maximum is at the end of the interval farthest from the vertex, so is ...
F(10) = ∛((10 -6)² -4) = ∛12
The minimum is -∛4 ≈ -1.587; the maximum is ∛12 ≈ 2.289.
A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard deviation of 0.2 ounces. If a sample of 9 cups is selected, find the probability that the mean of the sample will be less than 12.1 ounces.
Answer:
0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 12 ounces and a standard deviation of 0.2 ounces.
This means that [tex]\mu = 12, \sigma = 0.2[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{0.2}{\sqrt{9}}[/tex]
Find the probability that the mean of the sample will be less than 12.1 ounces.
This is the pvalue of Z when X = 12.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{12.1 - 12}{\frac{0.2}{\sqrt{9}}}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.
Factor Зу2 - 4у.
y(4 - Зу)
y(Зу - 4)
y(4y-3)
Evaluate the expression when g = 6 and h=34.
h-5g
Answer:
hi
Step-by-step explanation:
if g is 6 and h is 34 then h-5g is equal to
34-5×6=34-30=4
have a nice day
Answer:
h-5g=34-5(6)
=34-30
= 4
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.
What is a 7 - 0.9 = *
Answer: 6.1
Step-by-step explanation:
Answer:
6.1
Step-by-step explanation:
have a good day/night may i please have a branlliest
The Cramer's Rule states that, in a system of equation in two unknowns, in which determinants D is not 0, X=_____and Y=_____.
Answer:
Step-by-step explanation:
[tex]x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}[/tex]
PLEASE HELP ME OUT IXL !! PLEASE GEOMETRY
Answer:
131
Step-by-step explanation:
Sorry but I am not conform to this answer
I’ll give points + brainalist for correct answer (:
Answer:
C) 2
Step-by-step explanation:
Emma: Range = 8
Arianna: Range = 6
The difference in the range is 2 (8-6)
Answer:
C) 2
Step-by-step explanation:
Emma:
Max = 20
Min = 12
Range = 20 - 12
Range = 8
Arianna:
Max = 18
Min = 12
Range = 18 - 12
Range = 6
Difference between the 2 ranges:
8 - 6 = 2
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1,000
delivery orders and constructed a one-sample z interval to estimate the proportion of delivery orders that take
more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4,000 orders.
Assume that the point estimates from each sample are approximately equal.
What is true about the margins of error from these two samples?
The margin of error from the smaller sample will be about
select ratio v
the margin of error from the
larger sample.
Answer:
2 times
Step-by-step explanation:
Khan Academy
You can use the formula for margin of error and the fact that the point estimates of both the samples are same to calculate the ratio of margin of errors of both the samples.
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.
[tex]MOE_1 = 2 \times MOE_2[/tex]
How to calculate the margin of error for a given sample from a population?Let the level of significance be [tex]\alpha[/tex] and the standard deviation of the population be [tex]\sigma[/tex] and the sample size be n, then we have:
[tex]\text{MOE(Margin of Error)} = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex]
Using the above formula to calculate the margin of errors for two specified samplesFor first sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_1 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}[/tex]
For second sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_2 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
[tex]\dfrac{MOE_2}{MOE_1} = \dfrac{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}}{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}} = \sqrt{\dfrac{1000}{4000}} = \dfrac{1}{2}\\\\\\MOE_1 = 2 \times MOE_2[/tex]
Thus,
The margin of error from the smaller sample will be about double of the margin of error from the larger sample.[tex]MOE_1 = 2 \times MOE_2[/tex]
Learn more about margin of error here:
https://brainly.com/question/13990500
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
Billy drove 192.5 miles at an average speed of 55 miles per hour. The statement shown represents this situation.
55h = 192.5
What was the total number of hours, h, it took Billy to drive this distance?
A. 4.5
B. 4
C. 3.5
D. 3
Answer:
C) 3.5 hours
Step-by-step explanation:
55h = 192.5
55h/55 = 192.5/55
h = 3.5 hours
Darby’s Breakfast table an square tabletop what are your area of 36 ft.²
Answer:
Diagonal length = 8.59
Step-by-step explanation:
To find the diagonal length, we need the length of the sides. We find the length of the sides by finding the square root of 36, which is 6. Then, we use this equation (see attached image)
What is the perimeter of the figure?"
9514 1404 393
Answer:
46 yd
Step-by-step explanation:
The sum of horizontal lengths across the top is 8+6 = 14 yd. The length across the bottom is the same, so the total of horizontal lengths is
14 yd +14 yd = 28 yd
The sum of vertical lengths at the right is the same as the sum of vertical lengths at the left, 9 yd, so the total of vertical lengths is ...
9 yd + 9 yd = 18 yd
The total of all lengths around the perimeter of the figure is ...
28 yd + 18 yd = 46 yd