Answer:
the answer is 24
Step-by-step explanation:
30=26-a\6
collect like terms
30-26 =a\6
4=a\6
Cross multiply
a=4×6
a=24
The solution to the given equation is 24.
The given equation is 30 = 26-a/6.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 30 = 26-a/6
Transpose 26 to the other side of the equation, we get
30-26 = -a/6
-4 = -a/6
4 = a/6
Transpose 6 to the other side of the equation, we get
a = 4×6
a = 24
So, the solution is 24.
Therefore, the solution to the given equation is 24.
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The following is the number of oil changes for the last 7 days at the Jiffy Lube located at the corner of Elm Street and Pennsylvania
Avenue.
41
15
39
54
31
15
33
Determine the mean, median, and mode. (Round "Mean" to 2 decimal places.)
Mean
Median
3257
54
Mode
Given:
[tex]\to \bold{41,15,39,54,31,15,33}[/tex]
Arrange numbers into ascending order:
[tex]\to \bold{15, 15, 31, 33, 39, 41, 54 }[/tex]
Mean formula:
[tex]M=\frac{\text{total of given number}}{\text{total number}}[/tex]
[tex]=\bold{ \frac{{15+ 15+ 31+ 33+ 39+ 41+ 54 }}{7}}\\\\= \bold{\frac{228}{7}}\\\\= \bold{32.57}\\\\[/tex]
Median formula:
n=7 that is an odd number then
[tex]=\bold{(\frac{n+1}{2})^{th}} \ term\\\\=\bold{(\frac{7+1}{2})^{th}} \ term\\\\=\bold{(\frac{8}{2})^{th}} \ term\\\\=\bold{(4)^{th}} \ term\\\\ =\bold{33}[/tex]
Mode:
As per the above-given definition its value =15
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A pool charges $7 for 2 daily pool passes.
Which table could represent the situation?
Answer:
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.
Option B is the table which could represent the given situation.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
According to the question
A pool charges $7 for 2 daily pool passes.
Using the linear equation y = mx + b
Substitute x = 2, y = 7
[tex]7 = 2m + b[/tex].....(1)
Substitute x = 4, y = 14
[tex]14 = 4m + b[/tex] .....(2)
Using elimination method
Subtract equation 1 from 2
[tex]14 - 7 = 4m - 2m + b - b[/tex]
[tex]7 = 2m[/tex]
[tex]m=\frac{7}{2}[/tex]
Substitute m = [tex]\frac{7}{2}[/tex] in equation 1
[tex]7=2(\frac{7}{2} )+b[/tex]
b = 7 - 7
b = 0
Substitute b = 0 in equation 1
7 = 2m
Similarly
14 = 4m
21 = 6m
28 = 8m
Hence, Option B is the table which could represent the given situation.
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write down what you know from the markings
Answer:
YMCA means nothing without the A
Step-by-step explanation:
Does the table represent a function? Why or why not?
Answer:
A.
Step-by-step explanation:
one x value cant go to two y values
Answer:
No....Not at all
You can select option A as the correct answer
Step-by-step explanation:
There can be two possibilities
x is an independent variable and y is a dependent variabley is an independent variable and x is a dependent variableFrom the definition of Function, We know, the value of a dependent variable corresponds to exactly one value of the independent variable
For possibility 1, For x = 5 and 9, y = 2 & for x = 5 and 7, y = 3
So this can't be a function
For possibility 2, For y = 3 and 2, x = 5
So this can't be a function
Hope you have understood this.....
ask me if you have any confusion.....
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Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
Given w = 2+2i, Find w+1/w
Answer:
0
Step-by-step explanation:
w+1/w=(2+2i)+1/(2+2i)
=(2+2i)+(2+2i)-1
=0
i need help with this equation.
g= -2+2a
Answer: a= [tex]g+2 / 2[/tex]
Step-by-step explanation:
g= -2 + 2a
>> -2+2a=g ( side change )
>> -2+2a +2 = g+2 ( adding 2 both side)
>> 2a = g+2
>> 2a /2 = g+2 /2 ( divide by 2 both side)
>> a= g+2 /2
Write the range of the function given in the graph in interval notation.
9514 1404 393
Answer:
(-4, 8]
Step-by-step explanation:
The vertical extent of the graph is ...
-4 < y ≤ 8
In interval notation, the range is (-4, 8].
__
Additional comment
There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.
The density d kg/m3 of a cube of mass m kilograms and side length x meters is given by the formula:  What is the value of d if m = 40 and x = 0.2?
Answer:
5000kg/m3
Step-by-step explanation:
Its easy to get the answer of a question from the unit.
So, it will be mass over metre cube.
Therefore, m=40kg x= (0. 2)^3 =0. 008m
40/0. 008 = 5000kg/m^3
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
50% is 20% of what number?
Answer:
I think the answer is 30 percent
Simplify equation 9/-4-7i
Answer:
[tex] - \frac{36}{65} + \frac{63}{65} i[/tex]
Step-by-step explanation:
[tex] \frac{9}{ - 4 - 7i} [/tex]
➡️ [tex] \frac{9( - 4 + 7i)}{( - 4 - 7i) \times ( - 4 + 7i)} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 {i}^{2} } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 \times ( - 1) } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 + 49} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{65} [/tex]
➡️ [tex] - \frac{36}{65} + \frac{63}{65} i[/tex] ✅
7+6(-8x-7)=3(-6x+8)+1
Answer:
x = -2
Step-by-step explanation:
7 - 48x - 42 = - 18x + 24 + 1
-35 - 48x = -18x + 25
-48x +18x = 25 =35
-30x = 60
x = -2
Answer:
-2
Step-by-step explanation:
7+6 (-8x-7)=3 (-6x+8)+1
7-48x-42= -18x+24+1
-48+18= 24+1-7+42
-30x=60 then divide the two sides with -30
x= -2
How do i solve
a·a²·a³
Answer:
a^6
Step-by-step explanation:
When the same numbers, the power can be just added together
For example
n x n x n =n^3 right?
Ya cuz when they don't put the power, it means to the power of 1
Therefore
a x a^2 x a^3
Just means
a ^ (1+2+3)
=a^6
Answer: a^6
Step-by-step explanation:
Term does not have an exponent so it’s automatically 1. So, a^1xa^2xa^3.
Multiply terms and add their exponents. So, a^1+2+3z
Add all exponents and you get 6. So, a^6
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(4x-2)[/tex]
[tex]\\ \rm\longmapsto Perimeter= 8x-4[/tex]
If the length and width of rectangle A are each k times the length and width of rectangle B, which statement is true?
A.
The area of rectangle A is k3 times the area of rectangle B.
B.
The area of rectangle A is k times the area of rectangle B.
C.
The area of rectangle A is 2k times the area of rectangle B.
D.
The area of rectangle A is k2 times the area of rectangle B.
Answer:
B
Step-by-step explanation:
the area of triangle A is k times the area of triangle b
Please help with this equation:
4.5(8-x)+36=102-2.5(3x+24)
answer
x=14
Step-by-step explanation:
4.5(8-x)+36=102-2.5(3x+24)
36-4.5x+36=102-7.5x-60
-4.5x=42-7.5x
7.5x-4.5x=42
3x=42
x=42/3
x=14
Find the midpoint M of the two sets of points. (Use midpt. formula)
X(-3, 4) Y(1, -1)
0 (-1,2.5)
(-2, 2.5)
0 (-1, 1.5)
(-2, 1.5)
Answer:
(-1, 1.5)
Step-by-step explanation:
4/7x7/8. Can somebody help me with this I’m so confused
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} *\frac{7}{8}[/tex]
Its really easy
Just multiply the numerators and the denominators
[tex]\frac{4*7}{7*8}[/tex]
[tex]\frac{28}{56}[/tex]
Simplify
[tex]\frac{1}{2}[/tex]
I hope this helps!
What is the measure of the largest angle?
Answer:
90°
Step-by-step explanation:
The angles of a triangle have a sum of 180°.
x + 2x + 3x = 180
6x = 180
x = 30
Substitute the value for the largest variable.
3(30) = 90
I am a prime number.
Tam two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Does anyone know how to divide a fourth degree polynomial
Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
Step-by-step explanation:
The base of a triangle measures 12 1/2" (twelve and 1/2 inches). The height of the triangle is 27". What is the area (in square inches)?
(Remember A=1/2base x height)
Answer:
168.75 in²
Step-by-step explanation:
12.5 * 27 = 337.5
337.5/2 = 168.75
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A coin is flipped two times and the number of heads is counted. Which of the following is a valid assignment
of probabilities for the number of heads observed in two flips?
8.
Number of heads
Probability
0
1/10
1
5/10
2
4/10
b.
Number of heads
0
1
2
Probability
1/4
2/4
1/4
C.
0
1
Number of heads
Probability
2
1/3
1/3
1/3
d. All answer options are correct
Answer:
5/10, 1, 2/4,
Step-by-step explanation:
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
X-8=-9
Answer: (a) x = -1
Step-by-step explanation:
Given
x - 8 = - 9
Add 8 on both sides to isolate x
x - 8 + 8 = - 9 + 8
[tex]\boxed{x=-1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
3kg of rump steak costs 42 pounds adel buys 4kg of rump steak work out how much adel pays
Answer:
I think it's 56 pounds but I could be wrong
If a stock valued at $40 per share increases by 20% and then decreases by 25% what is the resulting value of the stock?
Answer:
$36
Step-by-step explanation:
The stock value of $40 increased by 20%.
Increased value
= 20% of $40
= (20/100) × $40
= $800/100
= $8
New stock value
= Initial value + increased value
= $40 + $8
= $48
Then, the value decreased by 25%.
Decreased value
= 25% of $48
= (25/100) × $48
= $1200/100
= $12
New stock value
= Initial value + decreased value
= $48 - $12
= $36
So, the resulting stock value is $36.
Answer:
The resulting value of the stock is $36.
Step-by-step explanation:
First, we need to find out what 20% of $40 is.
40 x 0.20 = 8
40 + 2 = $48
Therefore, the stock value, when increased, is $48.
Now, we need to see what 25% of $48 is.
48 x 0.25 = 12
48 - 12 = $36
Therefore, the resulting value of the stock is $36.
Find the length of segment GH.
Answer:
it's 21-12 which is equal to 9
Find the midpoint of points A(-4,0) and B(3,-10) graphically.
Answer:
(7,10)
Step-by-step explanation:
3s(4 + 6)2 is an example of
Answer:
A. An Algebraic Expression
Step-by-step explanation:
Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.
Best of Luck!
Answer:
options A an algebraic expression
Step-by-step explanation:
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