Answer:
x = 3
Step-by-step explanation:
9x = 27
Divide both sides by 9,
x = 27/9 which on factorization of the numerator is written as
x = 9 x 3/9 = 3
Calculation 2: Exponent Or Index Method
9x = 27
Since 9 = 3² and 27 = 3³, the given equation takes the form
3² x = 3³
This gives
x = 3³ ÷ 3² = 3³¯² [using the formula a^m ÷ a^n = a^(m-n)]
= 3¹ = 3 (since the first power of a number is the number itself)
9 x 1 = 9
9 x 2 = 16
9 x 3 = 279 x 4 = 36
We stop here because we have already got the answer 27, the right-side of the equality, when 9 is multiplied by 3 . So,
x = 3
hope this helped!
1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and
the sum of the ages of all 3 is 147 years, what is the age difference between oldest the
youngest?
Answer:
37 years difference.
Step-by-step explanation:
K = Kissi
k = Age of Kissi
E = Esinam
e = Age of Esinam
L = Lariba
l = Age of Lariba
k + e + l = 147
K : E
3 : 5 → (×3) → 12 : 15
E : L
3 : 5 → (×5) → 15 : 25
K : E : L
12 : 15 : 25
12 + 15 + 25 = 52
147/52 = 2.8269...
K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.
k = 12 × 2.8269... = 33.923... → 34 y/o
e = 15 × 2.8269... = 42.40... → 42 y/o
l = 25 × 2.8269... = 70.673... → 71 y/o
∴ The difference between the youngest and oldest is:
71 - 34 = 37
I need help with this one
Answer:
Top right
Step-by-step explanation:
The solution to a system of equation is where the two graphs cross
The top right lines cross at (5,-3)
Determine whether the given value of the variable is a solution of the inequality.
Answer:
Yes, [tex]\frac{3}{4}[/tex] is a solution of the inequality.
Step-by-step explanation:
Solution of an inequality is given by the values of the variable t ≥ [tex]\frac{2}{3}[/tex]
Or t ≥ 0.67
If a solution of this inequality is t = [tex]\frac{3}{4}[/tex]
Or t = 0.75
Since, on a number line 0.75 > 0.67
Therefore, [tex]\frac{3}{4}[/tex] will be a solution of the inequality.
Mel buys a shirt that cost 12.50 and some pairs of socks that are 2.50 each.He pays a total of 27.50$.How many pairs of socks did Mel buy?
Answer:
6
Step-by-step explanation:
Let's call the number of pairs of socks he buys s.
[tex]12.50+2.50s=27.50[/tex]
Subtract 12.50 from both sides:
[tex]2.50s=15[/tex]
Divide both sides by 2.5 to isolate s:
[tex]s=6[/tex]
Hope this helps!
You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.
Answer:
80% or 4/5
Step-by-step explanation:
the probability of not choosing a black shirt
P = number of shirts that are not black ÷ total number of shirts
Total number of shirts = 10
Number of black shirts = 2
Number of shirts that are not black = 10-2 = 8
P = 8/10 = 4/5 or 80%
Landes is a sales representative for a company. She earns a basic pay of $2,750 a month plus commission of 1.5%. How much does Landes [now that the moderators are gone just answer this question and claim points lol]
Answer:
2,748.5
Step-by-step explanation:
Answer:
thank uuu
Step-by-step explanation:
help me................
Answer:
x = 5. y = 4
Step-by-step explanation:
7x - 4 = 31
7x = 35
x = 5
4y + 8 = 24
4y = 16
y = 4
For what value of the variable will the value of 7y−2 be ten more than the value of 2y?
Answer:
y=2.4
Step-by-step explanation:
7y-2=2y+10
7y-2y=10+2
5y=12
y=12/5=2.4
Find the area of a circle with radius, r = 19cm.
Give your answer rounded to 3 SF.
Answer:
1130
Step-by-step explanation:
since radius of the circle was given and the formula of the area is pie r square
Felicia walks 3 blocks west, 4 blocks south, 3 more blocks west, then
2 blocks south again. How far is Felicia from her starting point?
blocks
Answer:
Write the equation of a line that is perpendicular to y= -x - 6 and that passes through the point (-9, -4).
Answer:
y = x + 5
Step-by-step explanation:
Perpendicular slope is opposite inverse so the perpendicular slope to -1x would be 1x
Then find b in y=mx+b
Plug in all the number
y=-9
x=-4
m=1
So, -4=1(-9)+b
1×-9=-9
+9 to both sides
5=b
Therefore,
y=x+5
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Help please !!!
Answer:
y=2x-4
Step-by-step explanation:
The distance between (2, 3) and (1,7) is:
Answer:
[tex] \sqrt{17}\: units [/tex]
Step-by-step explanation:
[tex]d = \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ 1 + 16 } \\ \\ d= \sqrt{17} \\ [/tex]
Answer:
d=√17≈4.12310562561766
Step-by-step explanation:
What’s the correct answer for this?
Answer:
(0,2)
Step-by-step explanation:
2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB
Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0
Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2
The point is (0,2)
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
Using the formula
S = r∅
Where s is Arc length,l
R is radius
∅ is radian measure for angle RAD
Substituting
L = R∅
So
∅ = L/R
A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?
Answer:
63
Step-by-step explanation:
Make a ratio:
5 : 7 = 45 : x
x = 63
What value of c makes x2 + 6x + c a perfect square trinomial?
Answer:
9
Step-by-step explanation:
x^2 + 6x + c
Take the coefficient of x
6
Divide by 2
6/2 = 3
Square it
3^2 = 9
That is the value of c required
Answer:
C. 9
Step-by-step explanation:
c = 9
x² + 6x + 9
= (x+3)(x+3)
= (x + 3)²
it is a perfect square trinomial when c is equal to 9
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –180°
Answer:
The Transformations are R(O , -90°) & R(O , 270)
Step-by-step explanation:
* Lets revise the rotation of a point
- If point (x , y) rotated about the origin by angle 90° anti-clock wise
∴ Its image is (-y , x)
- If point (x , y) rotated about the origin by angle 90° clock wise
(270° anti-clockwise or -90°)
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180°
∴ Its image is (-x , -y)
* There is no difference between rotating 180° clockwise (-180°) or
anti-clockwise (180°) around the origin
* Lets solve the problem
∵ One vertex of a triangle is located at (0, 5) on a coordinate grid
∵ The image of the point after the transformation is (5 , 0)
- The coordinates are switched with each other
∴ There is no rotation with 180° or -180° because in the rotation with
180° and -180° around the origin we change only the signs of the
coordinates without switch them
∴ There is a rotation with 90° are 270° or -90°
- The zero has no sign
- When we rotate the point (0 , 5) by -90° or 270° around the origin
we will change the sign of x-coordinate and switch the two
coordinates
∴ The image of the point is (y , -x)
∵ x = 0 and y = 5
- There is no sign for zero, so we switch the coordinates only
∴ The vertex is located at (5, 0)
∴ The Transformations are R(O , -90°) & R(O , 270)
Answer:
R(O , -90°) & R(O , 270)
Step-by-step explanation:
5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips are defective. Suppose a clip is defective with probability 0.01, independently of other clips. Let X denote the number of defective clips in a package of 20. (a) The distribution of the random variable X is (choose one) (i) binomial (ii) hypergeometric (iii) negative binomial (iv) Poisson. (b) Specify the value of the parameter(s) of the chosen distribution and find the probability that a package sold will be refunded.
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
the defective probability is constant and independent.the sample size is bigger than one subject.The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
Sample size (amount of clips in the package): n=20Probability of defective clips: p=0.01.number of defective clips that trigger the money-back guarantee: k≥2The probability of the package being refunded can be calculated as:
[tex]P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169[/tex]
find the slope of the line (-5,2) and (4,2)
Answer:
The answer is 0
Step-by-step explanation:
Parker marks sixths on number line. He writes 5/6 just before 1. What fraction does he write on the first mark to the right of 1?
Answer:
The first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
Given
Marks of 6ths on a number line
Fraction 5/6 just before 1
Required
What fraction is at the right 1
To get the first fraction at the right of 1, we need to get the difference between each fraction;
This is calculated as follows;
[tex]Difference = 1 - \frac{5}{6}[/tex]
Take LCM
[tex]Difference = \frac{6 - 5}{6}[/tex]
[tex]Difference = \frac{1}{6}[/tex]
This implies that the difference between each mark is [tex]\frac{1}{6}[/tex].
To get the first mark at the right of 1;
We simply add the difference to 1;
This implies that;
[tex]Mark = 1 + \frac{1}{6}[/tex]
Take LCM
[tex]Mark = \frac{6 + 1}{6}[/tex]
[tex]Mark = \frac{7}{6}[/tex]
Convert to mixed fraction
[tex]Mark = 1\frac{1}{6}[/tex]
Hence, the first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]
What’s the correct answer for this?
Answer:
C
Step-by-step explanation:
It's of the shape of a cone
Confidence Intervals for Curved Gaussian Family Bookmark this page (a) 1 point possible (graded) Let X1,…,Xn be i.i.d. random variables with distribution N(θ,θ) , for some unknown parameter θ>0 . True or False: The sample average X¯¯¯¯n follows a normal distribution for any integer n≥1 .
a. true
b. false
Answer:
True
True
Step-by-step explanation:
The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.
The given statement is True
Random variable:The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.
Learn more about distribution here: https://brainly.com/question/24520301
Fraction - Subtrction : 15 5/11 - 7 3/12
Answer:
[tex]= 8 \frac{27}{132} = 8\frac{9}{44}\\ [/tex]
Step-by-step explanation:
[tex]15 \frac{5}{11} - 7 \frac{3}{12} \\ \frac{170}{11} - \frac{87}{12} \\ \frac{2040 - 957}{132} \\ = \frac{1083}{132} \\ = 8 \frac{27}{132} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
8 9/44.
Step-by-step explanation:
15 5/11 - 7 3/12
= 15 - 7 + 5/11 - 1/4 The LCD of 4 and 11 is 44 so we have:
15 - 7 + 20/44 - 11/44
= 8 + 9/44
= 8 9/44.
In Georgetown, the library is 8 miles due south of the courthouse and 6 miles due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?
Answer:
10 miles
Step-by-step explanation:
tree points form a right triangle with sides 8, 6 and x
x is the hypotenuse of the triangle
x²=8²+6²=100
x=√100=10 miles
At the neighborhood block party, John noticed that every 5 minutes, the
shadow of a nearby pine tree got six inches longer. The shadow was 12
feet long at 4:15pm. How long was the shadow at 5:00pm?
Answer:
7
Step-by-step explanation:
I think because at if you divide 45 by 6 because its 45 minutes from 4:15 to 5:00 and it grows 6 inches longer every five min
01
The list below shows the prices of T-shirts at a clothing store.
{8, 10, 10, 12, 15, 15, 18)
Which statement best describes the mean of this ser?
the difference between the least and greatest prices
the sum of the prices
the quotient of the difference between the least and greatest prices divided by 7
the sum of the prices divided by 7
dem
Answer:
the sum of the prices divided by 7
Step-by-step explanation:
The mean is the sum of the elements of a set, divided by the number of elements in the set. This set has 7 members, so its mean is ...
the sum of the prices divided by 7
What is the value of x?
A-17
B-26
C-39
D-41
Answer: 41
Step-by-step explanation:
a^2 + b^2 = c^2
40^2 + 9^2 = c^2
c = √1681 = 41
Answer:
D: 41
Step-by-step explanation:
Using Pythagorean Theorem
c² = a² + b²
Where c is hypotenuse, x
a is the base, 9
b is the perpendicular, 40
Putting in the formula
x² = (40)²+(9)²
x² = 1600 + 81
x² = 1681
Taking square root on both sides
x = 41
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Oy=-5/2x-1
O y=-5/2x+5
Oy=2/5x-1
Oy=2/5x+5
Answer:
y=-5/2x-1
Step-by-step explanation:
first find the gradient whereas since the two lines are parallel they hav the same gradient. y=mx+c whereas m is the gradient. 5x+2y=12
2y=-5x+12
y=-5/2x+12(so the gradient is -5/2x..... gradient=-5/2
y-4=-5/2
x+2
y-4=-5/2(x+2)
y-4=-5/2x-5
y=-5/2x-5+4
y=-5/2x-1
The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = -5/2 x - 1.
What is the Equation of line in Slope Intercept form?Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.
Given that the equation of the line is,
5x + 2y = 12
2y = -5x + 12
y = -5/2 x + 6
This is in the slope intercept form, where the slope = -5/2.
Slopes of two parallel lines are equal.
So any line parallel to the given line will be of the form y = -5/2 x + c
Given line passes through (-2, 4).
Substituting (-2, 4) in y = -5/2 x + c, we get,
(-5/2) (-2) + c = 4
c = -1
So the equation is, y = -5/2 x - 1
Hence the required equation is y = -5/2 x - 1.
Learn more about Slope Intercept form here :
https://brainly.com/question/21298390
#SPJ7
Solve for the unknown value
X=______Degrees
Answer:
Step-by-step explanation:
_______________________________
Hey!!
Solution,
X+61+42=180[ sum of angle in triangle]
or,X+103=180
or,X=180-103
X=77°
So the value of X is 77°
Hope it helps..
Good luck on your assignment
____________________________
