Answer:
m = -4
Step-by-step explanation:
[tex] \frac{1}{9} (2m-16)= \frac{1}{3} (3m+4)[/tex]
[tex] \frac{2}{9} m - \frac{16}{9} = \frac{3}{3} m + \frac{4}{3} [/tex]
[tex] \frac{2}{9} m - m = \frac{4}{3} + \frac{16}{9} [/tex]
[tex] \frac{2}{9} m - \frac{9}{9} m = \frac{12}{9} + \frac{16}{9} [/tex]
[tex] \frac{2m - 9m}{9} = \frac{12 + 16}{ 9} [/tex]
[tex]2m - 9m = 12 + 16[/tex]
[tex] - 7m = 28[/tex]
[tex]m = \frac{28}{ - 7} [/tex]
[tex]m = - 4[/tex]
The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?
Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]
ii) He has to attend 5 practices to run 13 miles.
Step-by-step explanation:
Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.
[tex]d=2p+3[/tex]
i) To solve for p . first subtract 3 from both sides , we get
[tex]d-3=2p[/tex]
Divide both sides by 2
[tex]\dfrac{d-3}{2}=p[/tex]
So. [tex]p=\dfrac{d-3}{2}[/tex]
ii) Put d= 13 , we get
[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]
i.e. he has to attend 5 practices to run 13 miles.
Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item. How much was her meal?
Amount of tip she gave,
[tex]T = 15\times 0.20\\\\T =\$3[/tex]
Amount of tax given :
[tex]Tax=15\times 0.09\\\\Tax = \$1.35[/tex]
So, total amount she paid is :
Total = Actual cost + Tip + Tax
Total = $(15 + 3 + 1.35 )
Total = $19.35 .
Therefore, total amount she paid is $19.35 .
Hence, this is the required solution.
A boat was bought for $9500 and sold at a profit of 32%. What was the selling price ?
When this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?
-2m^3 + m^2 - m + ___?
A. -4
B. -3
C. 2
D. 4
Answer: it would be A. -4
Step-by-step explanation:
Got it right on the test
Option A is correct, the value of the polynomial's constant term is -4.
According to the remainder value theorem, if a polynomial is divided by (m+1) and the remainder is 0, it means that (m+1) is a factor of the polynomial.
The given polynomial is -2m³ + m² - m + ___
To find the constant term, we need to determine the value of the polynomial when m = -1 (since (m+1) = 0).
Substituting m = -1 into the polynomial, we get:
-2(-1)³ + (-1)² - (-1) + ___
Simplifying the expression, we have:
-2(-1) + 1 + 1 + ___
-(-2) + 1 + 1 + ___
2 + 1 + 1 + ___
4 + ___
Since the polynomial is divided by (m+1) and the remainder is 0, the constant term must be -4 to cancel out the 4 term and make the expression equal to zero.
Therefore, the value of the polynomial's constant term is -4.
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ2
Please help me out with those questions...
Answer:
D
Step-by-step explanation:
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______
a 8
c 5.5
Answer:
Looks like you gave the answer already.
a = 8 and c = 5.5
Step-by-step explanation:
2a + 4c = 38.00 --> x3 --> 6a + 12c = 144
3a + 3c = 40.50 --> x2 --> 6a + 6c = 81
6c = 33
c = 5.5
a = 8
Find JL using the perpendicular or angle bisector method.
ehelp help help help help
Answer:
The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.
Step-by-step explanation:
What is the value of “y” in y = -3x if the value of ‘x’ is 2?
Answer:y=-6
Step-by-step explanation:
-3(2)
Solve the equation.
3(2w−7)=3
Answer:Simplifying
3(2w + -7) = 3
Reorder the terms:
3(-7 + 2w) = 3
(-7 * 3 + 2w * 3) = 3
(-21 + 6w) = 3
Solving
-21 + 6w = 3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 6w = 3 + 21
Combine like terms: -21 + 21 = 0
0 + 6w = 3 + 21
6w = 3 + 21
Combine like terms: 3 + 21 = 24
6w = 24
Divide each side by '6'.
w = 4
Simplifying
w = 4
Step-by-step explanation:
AnswerAnswerAnswerAnswerAnswerAnswerAnswer
:) ·g o o d l u c k ·
can someone please help me with this problem will give me brainliest.
Answer: as a decimal 274877906944
Step-by-step explanation:
Find the distance between the points given.
(-3,-6) and (3, 2)
4
752
10
Answer:
10
Step-by-step explanation:
You should get this answer if you use the distance formula! :)
4 Gears A and B turn together. Gear A turns 20 times when
Gear B turns 30 times. When Gear A turns 60 times,
how many times does Gear B turn? Show your work
Answer:
90 turnsStep-by-step explanation:
Ratio of turns
A/B = 20/30 = 2/3If A = 60 then the ratio is
60/B = 2/3 ⇒ B = 60*3/2 = 90write the sum of 7√28x^6 + 4√7x^6
Answer: 21.97025026/250
Step-by-step explanation:
find the value of x
3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)
Answer:
see explanation
Step-by-step explanation:
z - w
= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1
= 1 - 3i + 2 - 5i ← collect like terms
= 3 - 8i
------------------------------------------------------------
z × w
= (1 - 3i)(- 2 + 5i) ← expand using FOIL
= - 2 + 5i + 6i - 15i² [ i² = - 1 ]
= - 2 + 11i + 15
= 13 + 11i
select all the factors of:
x^2+ 3x - 10
A) (x-5)
B) (x+2)
C) (x-2)
D) (x+5)
Answer:
c & d
Step-by-step explanation:
Factor x^2 + 3 x − 10 using the AC method
Half of the difference of 3 and 1
Answer: 1
Step-by-step explanation:
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
The temperature was 4 degrees below zero at 9 AM, By 6 PM, the
temperature had risen 24 degrees. What was the temperature at 6 P.M.?
What Number is this 1 x 1010^100
Answer:
2.704814e+300
is what I got
The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.
To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.
The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.
Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.
Using the logarithmic expression:
log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)
The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:
log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)
Now, using the property of logarithms, log(aᵇ) = b × log(a):
log(1 x 10¹⁰⁰) = 0 + 100 × log(10)
The logarithm of 10 (log(10)) is equal to 1, so:
log(1 x 10¹⁰⁰) = 0 + 100 × 1
Finally:
log(1 x 10¹⁰⁰) = 100
Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.
learn more about logarithms here
brainly.com/question/34675209
#SPJ2
The given question is incomplete, I answer the question in general according to my knowledge:
What is the value of the number using logarithm 1 x 10^100?
Which of the following would result in a rational number? **
Answer:
The answer is A. A+C because Rational numbers can be made by dividing two integers. integers are whole numbers a number that is not a fraction.
What is the product of the expression
(2+3i)(4-5i)
From the figure below, the coordinates for point z are:
HELP PLS
Answer:
(2a, 0)
Step-by-step explanation:
the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.
which one is a function
Answer:
I didn't know if you meant which one is a function, and which one isn't so I just went with what the picture said:
A) is not a function
Answer:
i get D, sorry if not i did it 3 times and i got D
Devon records 4 hours of reality shows on her DVR. She records comedy shows for ⅜ of that amount of time. Devon watches all the reality and comedy shows in half-hour sittings.
Answer:
1 1/2 hours = 90 minutes
Step-by-step explanation:
Devon records 4 hours of reality shows on her dvr she records comedy shows 3/8 of that amount of time. Devon watches all the reality and comedy shows in half hour sittings. Find the number of hours of comedy shows that Devon records
Total hours of reality show = 4
Comedy shows = 3/8 of 4 hours
Number of hours of comedy shows that Devon records = 3/8 of 4 hours
= 3/8 × 4
= 12 / 8
= 1 4/8
= 1 1/2
Number of hours of comedy shows that Devon records = 1 1/2 hours
There are 60 minutes in an hour
1 1/2 hours = 1 1/2 × 60 minutes
= 3/2 × 60
= 180 / 2
= 90 minutes
Therefore,
1 1/2 hours = 90 minutes
Pls help me ill give brainlyest to first correct answer! pls and thank u!
Answer:
1 1/6
Step-by-step explanation:
the answer is 1 1/6
Answer:
for the first one, it is c. the second one is b
Step-by-step explanation:
“Write five sentences about proportional relationships”
Answer:
Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.
Step-by-step explanation:
hope this helps
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
ALL 4 ways of displaying a relation.
evaluate composite functions f(x)=3*2^x-4 g(x)=1/1+x g(f(2))=
Answer:
Step-by-step explanation:
g(f(x))= 1/1+(3*2^x-4)
Therefore g(f(2))=1/1+(3*2^(2)-4)