Answer:
n=6
Step-by-step explanation:
6 ( n + 5 ) = 66
Divide each side by 6
6/6 ( n + 5 ) = 66/6
n+5 = 11
Subtract 5 from each side
n+5-5 = 11-5
n = 6
Answer:
n=6
Step-by-step explanation:
We are given the equation
6(n+5)=66
We must solve for the variable, n. Therefore, we have to isolate n on one side of the equation.
6 is being multiplied by (n+5). The inverse of multiplication is division. Divide both sides of the equation by 6.
6(n+5)/6=66/6
(n+5) = 66/6
n+5 = 11
5 is being added to n. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
n+5-5=11-5
n=11-5
n=6
Let's check our solution. Plug 6 in for n and solve.
6(n+5)=66
6(6+5)=66
6(11)=66
66=66
The statement above is true, so we know our solution is correct.
The solution to the equation 6(n+5)=66 is n=6
is -3 a whole number
Answer:
No it is not -3 is an integers
Answer:
no: -3 is an integer
Step-by-step explanation:
1x + 2 = Ox + 5
Solve the equation.
Answer:
x =-3
Step-by-step explanation:
1x + 2 = 0x + 5
hence 0x simplifies x
1x-0x = 2-5
x = -3
nearest thousand of 9082 please answer fast
Answer: 9,000
Step-by-step explanation:
Powers of 10 with positive exponents are:
less than 1
greater than 1
Answer:
greater than 1
Step-by-step explanation:
Answer:
greater than 1
Step-by-step explanation:
Which exponential equation correctly rewrites this logarithmic equation?
Answer:c
Step-by-step explanation:
This is how it should be when you are representing an exponential equation to a logarithmic equation
[tex]y=a^{x}[/tex]→log y base a =x
therefore the answer is c
The exponential equation which rewrites the logarithmic equation is given by 6ˣ = 18
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
log₆ 18 = x
From the properties of logarithm , we get
log Aⁿ = n log A
On simplifying , we get
6ˣ = 18
where the value of x = 1.61314
Hence , the exponential equation is 6ˣ = 18
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Measure of arc JKM= ??
Answer:
180°
Step-by-step explanation:
JM is the diameter of the circle with center L.
[tex] \huge \red{ \boxed{\therefore m\widehat{(JKM)} = 180\degree}} \\ [/tex]
[tex](W^{8} )^{8}[/tex]
Answer:
w^64Step-by-step explanation:
[tex]\left(w^8\right)^8\\[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc}[/tex]
[tex]\left(w^8\right)^8=w^{8\times\:8}\\=w^6^4[/tex]
Rewrite the equation so that it does not have fractions 2/3x-4=5/6
Answer:
.6x - 4 = .83
Step-by-step explanation:
Distribute: -3 (2x-4)
Answer:
24
Step-by-step explanation:
2x-4= -8×-3= 24
When you look at the P.E.M.D.A.S. method you have to do what's in the PERENTESSE first so that means 2x-4 is the first thing that I are solving and you get -8 now you have to multiply -8 by -3 then you get 24
Angle F and angle G are complementary . The measure of angle F is three times the measure of angle G. What is the measure of each angle?
Answer:
[tex]g[/tex] = 22.5°
[tex]f[/tex] = 67.5°
Step-by-step explanation:
Let’s create a system of equations for [tex]f[/tex] and [tex]g[/tex].
Complementary angles are two angles that add up to 90°, so [tex]f+g=90[/tex]
Also, [tex]f[/tex] is thrice of g: [tex]f=3g[/tex]
We can now substitute [tex]3g[/tex] in [tex]f+g=90[/tex] for [tex]f[/tex].
[tex]3g + g = 90\\\\4g = 90\\\\g=22.5[/tex]
Now, we can find [tex]f[/tex] by substituting [tex]g[/tex] into either equation.
[tex]f + 22.5 = 90\\\\f = 90-22.5\\\\f = 67.5[/tex]
Hope this helped!
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y= -2x - 5
y = 2x - 2
Choose 1 answer:
Answer:
C.
x = -3/4
y = -3 1/2
Step-by-step explanation:
We can graph the systems of inequalities to find our answer. Where the 2 graphs intersect will be our solution point.
Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug? A. 9 ft2 C. 63 ft2 B. 12 ft2 D. 81 ft2
Answer:B - 12ft2
Step-by-step explanation:
Which of the following numbers is rational?
OA) 7.885
OB) IT
OC) 0.144
OD 91
The sum of two numbers is 21.
The second number is six times the first number. Work out the two numbers
Answer:
3 and 18
Step-by-step explanation:
let x be the first number
let 6x be the second number
x + 6x = 21
7x=21
x=21/7
x=3
second number =6x
second number 6x3= 21
How many times does 9 go into 4,590
Plz help
Answer:
510
Step-by-step explanation:
4,590/9=510
You would like to have $200,000 in a college fund in 15 years. How much do you need today if you expect to earn 12% while you are investing to pay for your child's college?
Answer:
$36,529.26
Step-by-step explanation:
To find the answer, you need to use the formula to calculate the present value:
PV=FV/(1+i)^n, where:
PV= present value
FV= future value= $200,000
i= interest rate= 12%
n= number of periods of time= 15
Now, you have to replace the values in the formula:
PV=200,000/(1+0.12)^15
PV=200,000/(1.12)^15
PV=36,539.26
According to this, the answer is that you need $36,529.26 today.
What is f(a) in the given function 6x-5
Answer:
f(a) = 6a -5
Step-by-step explanation:
Assuming your function is ...
f(x) = 6x -5
The expression f(a) means you replace x with 'a' everywhere in the above function definition:
f(a) = 6a -5
Find the Inverse of
f(x) = 2x - 6
Of(x)= 2x + 3
O f(x)= 1/2x+3
Of(x) = x + 3
Of(x) = 2x - 3
Answer:
y = 1/2x + 3
O f(x)= 1/2x+3
Step-by-step explanation:
f(x) = 2x - 6
y = 2x - 6
x = 2y - 6
2y = x + 6
y = (x + 6)/2
y = 1/2x + 3
Use graphing technology to find the range of the function f(x)=x2 +6x+9
Answer:
See below.
Step-by-step explanation:
Refer to the graph.
The range of a graph is the span of y-values it covers.
From the graph, we can see that the span of y-values is all values greater than or equal to 0.
Therefore, our range is, in interval notation:
[tex][0,\infty)[/tex]
Note that we use brackets with the 0 because 0 is included in our range.
In set notation, this is:
[tex]\{y|y\in\mathbb{R},y\geq 0\}[/tex]
round 5.1234 to the nearest thousandths
Use the work below to simplify the expression –5 + b + 2a2 – 3b + 4. 1. Identify like terms: –5 and 4 b and –3b 2. Combine like terms: –5 + 4 = –1 b – 3b = –2b 3. Simplify the expression: What is the expression in its simplest form?
Answer:
the answer will be 2a2 – 2b – 1 because he simplified the expression en He He simplified it and then substracted tb from the y interecept.hop e yall are doing great dsorry for that my laptop ins broken and my keyboardletters are fadded so i cant see well but the asnswer is correct.triust me.
Step-by-step explanation:
The expression in its simplified form is 2a² - 2b -1 .
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is -5 + b +2a²-3b + 4.
Simplify the expression as follows:
-5 + b +2a²-3b + 4
= 2a² - 2b -1
Hence, the expression in its simplified form is 2a² - 2b -1 .
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6.88888888889 as a fraction
Answer:
62/9
Step-by-step explanation:
.88888888 is 8/9
Multiply 9*6 to get the whole amount
9*6 = 54
Add 8 because that's the fractional amount.
54 + 8 = 62
So 62/9 will give you 6.8888888889
Evaluate 5w-w/x when w=6 and x=2
Answer:
27
Step-by-step explanation:
5×6-(6/2)
=30-3
=27
Answer:
[tex] 27[/tex]
Step-by-step explanation:
[tex]5w - \frac{w}{x} = \frac{5w}{1} - \frac{w}{x} = \frac{5(6)}{1} - \frac{6}{2} = 30 - 3 = 27[/tex]
or
[tex] \frac{5(6) }{1} - \frac{6}{2} = \frac{30}{1} - \frac{6}{2} = \frac{60 - 6}{2} = \frac{54}{2} [/tex]
prove that points (2a,4a), (2a,6a), and (2a +√3a,5a) are the vertices of an equilateral triangle of side
Answer:
Let A (2a, 4a)
B(2a, 6a)
C (2a + sqrt (3a), 5a)
Side AC:
[tex]\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-4a)^2 }=\sqrt{3a+a^2}[/tex]
Side BC:
[tex]\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-6a)^2 }=\sqrt{3a+a^2}[/tex]
Hence AC = BC
It is an isoceles triangle.
Side AB:
[tex]\sqrt{(2a-2a)^2+(6a-4a)^2 }=\sqrt{2a^2}=2a[/tex]
It proves that the triangle is NOT an equilateral triangle.
If the relationships below are given in the form (input, output), which pairing always describes a function?
Answer: B
(height of a building in feet, height of the building in inches)
Ms. Rothrock loves to go shopping with Ms. Cluver and Mrs. Gosch. When they went to Target Ms. Rothrock bought shirts and jeans. Each shirt cost $13 and each pair of jeans cost $15. Ms. Rothrock decided to buy 4 shirts. She spent $82. How many pairs of jeans did she buy?
Answer:
She bought 2 pairs of jeans
Step-by-step explanation:
$82- $13-$13-$13-$13=$30
$15*2=$30
$30=$30
she bought 2 pairs of jeans
It cost Paisley $9.20 to send 92 text messages. How much would it cost to send 110 text messages?
Answer:
$11
Step-by-step explanation:
92=$9.20
100?
920/100x110/92
After this you will get 11 dollars.
That is the amount to send 110 text messages.
The cost to send 110 text messages is $11.
Given that, it cost Paisley $9.20 to send 92 text messages.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the cost to send 110 text messages be x.
Now, 9.20:92::x:110
⇒ 9.20×110=92×x
⇒ 92x=1012
⇒ x=1012/92
⇒ x=$11
Hence, the cost to send 110 text messages is $11.
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estimate the equation 12+ 19.61
QUESTION:
QUESTION:estimate the equation 12+19.61.
QUESTION:estimate the equation 12+19.61.Answer:
QUESTION:estimate the equation 12+19.61.Answer:12+19.61 =31.61.
*PLEASE ANSWER ASAP* John is playing a game with two friends. Using the spinner pictured, one friend spun a three, and the other friend spun a five. John needs to spin a number higher than both friends in order to win the game, and he wants to calculate his probability of winning. How many desired outcomes should John use in his probability calculation?
Answer:
3
Step-by-step explanation:
Because Johns friends both got 3 and 5 so he needs a number higher to win i.e 6, 7, 8 so the answer is three.
Second Option is correct.
There will be 3 desired outcomes John should use in his probability calculation.
What is probability?Probability is the measure of the likelihood of occurrence of an event.
What is outcome?An outcome is a possible result of an experimental or trial.
Formula to calculate probability[tex]P(A) = \frac{number of favorable outcomes }{Total number of outcomes}[/tex]
where,
P(A) is the probability of an event.
According to the given question
we have
sample space = {1,2,3,4,5,6,7,8}
Total number of outcomes = 8
Jhon needs to spin a number higher than both friends in order to win the game
⇒ the numbers must be greater than 5
⇒ the numbers will be 6, 7, 8
therefore,
the total number of favorable outcomes =3.
Hence. there are 3 desired outcomes should John use in his probability calculation.
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Simplify the expression where possible. (picture below)
Answer:
1/ [tex]x^{-8}[/tex]
Step-by-step explanation:
when there is two powers the correct method to solve is to multiply them so
4 * -2 = -8