Hello.
First, let's clarify what the G.C.F. means.
It means "Greatest Common Factor"
So, let's find the Greatest Common Factor of 15 and 48.
First, let's list all the factors of 15:
1, 3, 5, 15
Here are the factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Therefore, the GCF of 15 and 48 is 3.
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Let x, y, and z represent three rational numbers, such that y is 5/12 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
From the system of linear equations was verified that the value for z is equal to 87.45.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
Rational NumbersThese numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0. Besides, this ratio can be simplified in decimal form.
For solving this equation, firstly, rewrite the information given:
[tex]y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]
As the question gives the values for y, you can find x.
[tex]y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2[/tex]
Applying x=37.2 in equation (3), you can find z.
[tex]z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45[/tex]
Learn more about the system of equations here:
https://brainly.com/question/384631
How do you find the slope of a line when you are given 2 points?
Answer: Since the slope of a line is the change in y divided by the change in x, given two points (x1,y1) and (x2,y2) we can find the slope by calculating (y2-y1)/(x2-x1).
Answer:
Use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where x_1 and y_1 are the coordinate of one point, and x_2 and y_2 are the coordinates of another (different) point.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
what is the greatest common factor of 36 6 and 48
a painter takes 13 hours to paint 3 rooms. how long will it take the painter to paint 9 rooms
9 rooms / 3 rooms = 3
It will take him 3 times as long.
13 hours x 3 = 39 hours
answer: 39 hours
Answer:
39 hours
Step-by-step explanation:
13h = 3 rooms
3 x 3 = 9
13 x 3 = 3 x 3
39h = 9 rooms
helppppppppppppppppppppp
Answer:
.............................
Determine if the following figures are similar.
Answer:
the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class
Divide 200 into the following ratio
1:3
PLEASE GIVE STEP BY STEP
explanation
Answer:
1x+3x=200
4x=200
x=50
1x=50 x=50
4(50)=150
then the answer is 50 and 150
Reflect triangle A in the line y=1
What would you do if when you okay, so he said yes would go?
Answer:
what?
Step-by-step explanation:
Answer: umm umm I would tell him godbless him and…
Step-by-step explanation:
Karen created a sample of 20 students from a population of 100 in the following way. First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100. She used these numbers to identify which students to select. Here is the list of random numbers:
20 points! Please help! Which three students is part of her sample?
A. students 1, 10, and 20
B. students 12, 60, and 74
C. students 81, 89, and 90
D. students 3, 10, and 21
Answer:
B. students 12, 60, and 74
Explanation:
All three numbers are in the random sample set given.
Answer:
Sry Im late but I hope I can help every one else
Step-by-step explanation:
THE ANSWER IS B
What volume of silver metal will weigh exactly 2500 grams? The density of silver metal is 10.5 g/cm^3
The volume of silver metal that will weigh exactly 2500 grams having a density of 10.5g/cm3 is 238.1cm3
What is density?Density is the ratio of the mass of a substance to its volume.
Analysis:
Density = 10.5g/cm3 = mass/volume
10.5 = 2500/volume
volume = 2500/10.5 = 238.1g/cm3
In conclusion, the volume of silver metal to weigh exactly 2500grams is 238.1cm3
Learn more about density: brainly.com/question/1354972
#SPJ1
Can anyone help me and explain how to do the problems in the picture attached :]
Answer:
14. x = 36°
15. x = 9°
16. x = 45°
Step-by-step explanation:
14. The sum of the interior angles in a triangle is 180°. This means that 2x + 2x + x = 180°. This can be simplified to 5x = 180°. If we divide both sides by 5, we find that x = 36°
15. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 7x + 3x + 90° (the right angle) = 180°. Next, we can subtract 90° form both sides to get 7x + 3x = 90°. If we simplify the left side, we get 10x = 90. Finally, we can divide both sides by 10 to find that x = 9°
16. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 2x + x + x = 180°. This simplified is 4x = 180. If we divide both sides by 4, we get x = 45°
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
You can find the sum of all interior angles of any convex shape with one simple equation: 180(n-2) , where n= number of sides of shape.
With a triangle, 180(3-2) simplified to, 180(1), with the answer being 180.
All the angles of a triangle add up to 180°
Lets look at first problem.
2x + 2x + x
set it equal to 180
2x + 2x + x = 180 (Combine like terms)
5x = 180 (Divide by 5, both sides)
x = 36
Next one,
7x + 3x + 90 = 180
10x + 90 = 180
10x = 90
x = 9
Last one,
2x + x + x = 180
4x = 180
x = 45
7. A pair of Nikes
are on sale for $50,
If the original price
Was $80, what is the
percent decrease?
Answer:
errr not sure if it's 36%
hope it helps
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Slope: 0.3
Step-by-step explanation:
When you turn the equation into as lope intercept form, it is easy to see the slope
Slope intercept form: y = mx + b
Y = y coordinate
M: slope
X : x coordinate
b = y intercept
y = 0.3x + 3.26
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!!
Part A:-(Refer to the attachment)
Part B:-
For interpretation we need graph(attached)
Note that correlation coefficient is the linear correlation between two sets
need help!! also this is 17 points so yeah :)
Which equation below is a quadratic function translated (shifted) right 3
=(+3)2
y
=
(
x
+
3
)
2
=2+3
y
=
x
2
+
3
=2−3
y
=
x
2
−
3
=(−3)2
y
=
(
x
−
3
)
2
9
Jenna bought a savings certificate that earned 2% simple interest per year. She earned a total of $100 in interest over 4 years. What was the initial value of the certificate?
Answer: Below
Step-by-step explanation:
An interesting part of this problem is that it derives off of Exponential growth formulas.
So by plugging in the values in the Exponential growth:
[tex]y = x(1+0.02)^{4}[/tex]
[tex]y = x(1.02)^{4}[/tex]
What's important is we know the increasing factor, so:
[tex](1.02)^{4} = 1.0824[/tex]
So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.
x * 0.0824 = 100
x = 100/0.0824
x = 1213.59
The answer is approximately 1213.59
whats one sixth times 3 PLEASE HURRY AND AWNSER
. What is the value of y in the solution to this system of equations?
6y + x = -59
x = -2y + 9
Answer:
-17
Step-by-step explanation:
We can use substitution for this system of equation.
Since x=-2y+9, we can replace x with -2y+9 in the top equation.
6y+(-2y+9)=-59
Simplify and solve.
6y-2y+9=-59
4y+9=-59
4y=-68
y=-17
Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 15. The sample of group-participation adolescents had an average of M = 53. 8.
Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α =. 5.
The null hypothesis is H₀: , even group participation.
The standard error is , so z =
(to two decimal places). Using the Distributions tool, the critical value of z =
Using the z-distribution, as we have the standard deviation for the population, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
What are the hypothesis tested?At the null hypothesis, we test if the score for group-participation adolescents is the same as the general population, that is:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if the score is different, that is:
[tex]H_1: \mu \neq 50[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that:
[tex]\overline{x} = 53.8, \mu = 50, \sigma = 15, n = 100[/tex].
Hence:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]
[tex]z = 2.53[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex]
Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
More can be learned about the z-distribution at https://brainly.com/question/26454209
The climate in which jonah lives is mild all year long except during the hotter summer months. for 3 months out of the year, jonah needs to use 4 portable fans to cool his home. if the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month, what is his total electricity cost for the fans during one year? a. $6.72 b. $3.84 c. $11.52 d. $2.88
The total electricity cost for the fans during one year is $11.52. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The climate in which jonah lives is mild all year long except during the hotter summer months.
For 3 months out of the year, jonah needs to use 4 portable fans to cool his home.
If the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month.
Then we have the equation for the electric bill for x month for a fan,
Electric bill = 96 × 1 × x
Electric bill = 96x
For four fans we have electric bill will be
Electric bill = 4 × 96x
Electric bill = 384x
For three months that is x = 3, we have
Electric bill = 384 × 3
Electric bill = 1152
The electric bill is 1152 cents which are equal to $11.52.
More about the linear system link is given below.
https://brainly.com/question/20379472
find the value of x from the following.
x/4 = 6
x/2 = 12.5
Answer:
1)x = 24
2)x= 25
give your answer in of pi units 14cm
Answer:
incomplete question
Step-by-step explanation:
you are required to give the circumference and the diameter in order to complete this equation
I've checked everywhere and I cant figure out what this is.
it's not 9.4, I tried.
Please help me
<MPN = ?°
Answer:
45°
Step-by-step explanation:
The triangles CPN and APM are isosceles, which gives rise to angle relationships that can be used to find the desired angle.
Let the angle at A be represented by α. Then the angle at C is the complementary angle (90° -α). The angles MPA and NPC are, respectively ...
∠MPA = (180° -α)/2 = 90° -(α/2) . . . . . . . base angle of ΔAPM
∠NPC = (180° -(90° -α))/2 = 45° +α/2 . . . base angle of ΔCPN
The sum of angles MPA, MPN, NPA is the linear angle APC, so we have ...
∠MPA +∠MPN +∠NPA = 180°
(90° -α/2) +∠MPN +(45° +α/2) = 180°
135° +∠MPN = 180°
∠MPN = 45°
help meeeeeeeeeeee please asap!!
Use the elimination method :
-3x - y = -1
3x + y = -6
-> 3x + y + (-3x - y) = =6 + (-1) = -7
(3x-3x) + (y-y) = -7
0 = 7 (false)
So, the answer is no solutions.
A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?
Answer:
5n
d=10-5
=5
a=5
n=a+ (n-1)d
=5+(n-1)5
=5+5n-5
=5n
What is the value of y?
Apply Pythagorean theorem in ∆TMU
[tex]\\ \rm\Rrightarrow UT^2=6^2-3^2=36-9=27[/tex]
[tex]\\ \rm\Rrightarrow UT=3\sqrt{3}[/tex]
Now
in ∆TNU[tex]\\ \rm\Rrightarrow y^2=(3\sqrt)^2+9^2[/tex]
[tex]\\ \rm\Rrightarrow y^2=27+81[/tex]
[tex]\\ \rm\Rrightarrow y^2=108[/tex]
[tex]\\ \rm\Rrightarrow y=6\sqrt{3}[/tex]
Answer:
6√3 units
Step-by-step explanation:
Similar right triangle theorem states that as ΔNUT ≅ ΔTUM then
NT : NU = TM : TU
First find the length of TU using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ UM² + TU² = TM²
⇒ 3² + TU² = 6²
⇒ TU² = 27
⇒ TU = √(27)
⇒ TU = 3√3
Given:
NT = yNU = 9TM = 6TU = 3√3NT : NU = TM : TU
⇒ y : 9 = 6 : 3√3
[tex]\implies \dfrac{y}{9}=\dfrac{6}{3\sqrt{3} }[/tex]
[tex]\implies (3\sqrt{3})y=6 \times 9[/tex]
[tex]\implies y=\dfrac{54}{3\sqrt{3}}[/tex]
[tex]\implies y=6\sqrt{3}[/tex]
5/7 - 2/4
Please answer asap!
Answer:
5/7 -2/4
5×4-2×7/28
20-14/28
6/28
0.21
In the expression PV^7/5 P represents the pressure and V represents the volume of a sample of a gas. Evaluate the expression for P = 6 and V = 32
The value of the expression is 6.87 x 10⁹.
Value of the given expressionThe value of the given expression is calculated as follows;
(PV⁷) /(5P)
where;
P is given as 6V is given as 32Substitute the given values in the expressionThe value of the expression is obtained when the given value is substituted as shown below;
(PV⁷) /(5P) = (6 x 32⁷) / (5 x 6)
= 32⁷/5
= 6.87 x 10⁹
Thus, the value of the expression is 6.87 x 10⁹.
Learn more about substitution method here: https://brainly.com/question/22340165