Answer:
x = 3.
Step-by-step explanation:
log4 (3x - 1) = log4 (x + 5) Since they are both logs to the base 4:
3x - 1 = x + 5
2x = 6
x = 3.
On solving the logarithmic equation, we find that x = 3.
What are logarithmic equations?A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
[tex]log_{4}(3x-1) = log_{4}(x+5)\\\\3x-1 = x+5\\\\3x-x=5+1\\\\ 2x=6\\\\x=3[/tex]
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The engine of a car has a displacement of 307 cubic inches. What is the displacement in cubic feet? Round your answer to 2 decimal places.
Answer:
5.03 L
Step-by-step explanation:
we know that 1 inch = 2.54 centimeters
(1 inch)3 = (2.54 cm)3
1 in3 = 16.387 cm3
therefore
volume in cm^3 = (volume in in3) x (16.387 cm3/1 in3)
volume in cm3 = (307x 16.387) cm^3
volume in cm3 = 5030.809cm^3
let us convert to liters.
we know that
1 L = 1,000 cm3
volume in L = (volume in cm3) x (1 L/1,000 cm3)
volume in L = (5030.809/1,000) L
volume in L = 5.03 L
307 cubic inche engine displaces 5.03 L
A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.
How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?
Answer:
20 and 2020
Step-by-step explanation:
i got it right on edge
Answer:
The first answer is 20 and the second answer is 2020
Step-by-step explanation:
I just answered it on edge
a taxicab company charges $4.25 plus $.85 per mile. Mary Paid a fare of $12.50. Write and solve an equation to find the number of miles she traveled and describe the solution.
Pls help me!
ASAP!
I’ll mark brainliest this is 10 points!!!
Question: If p and q are integers, then all of these quotients are equivalent, except....?
Answer:
C
Step-by-step explanation:
We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.
yo help plz ill give branliest
Answer:
did you get it ?
Step-by-step explanation:
A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.
Answer:
x<=160Step-by-step explanation:
Step one:
given data
Charges= $400
Additional charges= $7.5 per guest
let the number of guests be x
let the total cost be y
the model for the situation is given as
y=mx+C
Step two:
given that y=1600
we can solve for x as
1600=7.5x+400
1600-400=7.5x
1200=7.5x
divide both sides by 7.5 we have
x=1200/7.5
x=160
Therefore the expected guest should not be more than 160
x<=160
square root of 9 on a graph
Answer:
I think the answer is 3
can someone help me to solve this question?
Answer :
Width : 9
length: 3.6
The perimeter will be 25.2
-----------------------------------------------------------------------------------------------------------------
Show your work : Since the length and width are 3 times bigger have to multiply the old one by 3
so 1.2 times 3 = 3.6
so 3 times 3 = 9
thats the length
to find the perimeter its 2L + 2W
2(3.6) + 2(9)=25.2
Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?
Answer:
$22.50
Step-by-step explanation:
$500.00 × 0.045=22.50
What is times plus 4
Answer:
you forgot the number before times
Step-by-step explanation:
I neeeeed help
Two college friends rent an apartment. They have to pay the landlord two months' rent (m) and a $500 security deposit when they sign the lease. The total amounty they pay the landlord is $2800. Create an equation which will determine the amount of money owed for rent for one month (m).
Answer:
The renters have to pay 1.5 months rent before moving in (first month plus security deposit) so we can write the following equation to represent the situation:
1.5
m
=
1725
where
m
is the amount of one month's rent.
Using algebra
1.5
m
1.5
=
1725
1.5
1.5
m
1.5
=
1150
m
=
1150
The monthly rent is $1,150.
Step-by-step explanation:
Answer:
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What's the difference between how we find the sale price of discounts and how we find the total price of tax, tips, and mark ups?
To find the actual discount, multiply the discount rate by the original amount 'x'. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.
Y=8 when x=20 find y when x= 30
Answer:
y=13
Step-by-step explanation:
if x=20 when y=8 (we can creat equation )
x=2y+4 (you can prove that the equation is correct by substitute )
so the question is if x=30 find the value of y
30=2y+4
30‒4=2y
26=2y
26/2=2y/2
13=y
i hope this helps you
How much interest would $1,000,000 earn at 2% compound daily, in one day?
Answer:
$54.79 is the answer
Step-by-step explanation:
(1) The point R is halfway between the -6 and -5 on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
Could you help me with these?
Step-by-step explanation:
Molly should have multiplied three first so that it would have been
x + 6 + 3x + 12
4x + 18
Dylan did not add x to 5x
it should have been
6x - 12
Jose did not multiply 7 and -5
it should have been
x + 3 + 7x - 35
8x - 32
j + 150 × 50 is a(n) ______ expression, because ______.
Please help I’m not sure if I’m right
Answer:
C
Step-by-step explanation:
75.54*550=41,497.5
Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.
Answer:
24 centimeters
Step-by-step explanation:
Simplify:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]
= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]
= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30-19}{8}[/tex]
= [tex]\frac{11}{8}[/tex] → C
The simplification of the given equation is 11/8. thus option /c is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.
The absolute value function always gives a positive result, which is;
| - a | = | a | = a
Given that | 12 - 3 |/4 - | 23 -42 | /8
| 12 - 3 |/4 - | 23 -42 | /8
| 15 |/4 - | -19 | /8
= 15/4 - 19/8
= 30/8 - 19/8
= 11/8
Therefore, the simplification of the given equation is 11/8. thus option /c is correct.
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expression is equivalent to
14
−
17
Answer:
14/17
Step-by-step explanation:
14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.
If the question you're asking is 14-17, the answer would be -3...
I hope this helped you out!! Have an awesome day C:
Step-by-step explanation:
if you are subtracting it is -3
if you are dividing it is 0.823
if you are looking for an equivalent fraction it is 28/34
Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
Find the value of x and m
Answer:
x=5 m=3
Step-by-step explanation:
Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
Answer:
6=-4x+b
Step-by-step explanation:
You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know
Slope of (10,4), (4,15)
Answer:
negative 11/6
Step-by-step explanation:
20
22
89
___*_ what is 20 times 22 times 89
Answer:
39,160
Step-by-step explanation:
20x22=440 x89=39,160
Tap the angle that is vertical to angle 4
Answer:
angle four is vertical to angle 2
Answer:
angle 2 is vertical to angle 4
Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water
Answer:
Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water
Recipe 2: 2/3tbs per cup
Recipe 3: 3/5tbs per cup
Recipe 4: 1/3tbs per cup
Step-by-step explanation:
To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.
Recipe 1: 4 tbs lemonade mix, 12c sparkling water.
4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.
Recipe 2: 4tbs Lemonade, 6c water
4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.
Recipe 3: 3 tbs lemon, 5c water
Recipe 3 requires 3/5 tablespoon per cup of sparkling water.
Recipe 4: 1 tbs, 3c water
Recipe 4 requires 1/3 tablespoon per cup of sparkling water.
Hope this helped!
What number will you add to - 6x to get an answer of zero? That is, what is the Additive
Inverse of - 6x?
Answer:
if that is a negative 6 then its a positive 6 if its a positive 6 then it will be a negative
Step-by-step explanation:
6+7×4+34=56 are they equal
No its not, the equation your showing right now adds up to 68
Answer:
No
Step-by-step explanation:
6+7×4+34=56
Step 1 - (PEMDAS)
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Simplify Using PEMDAS :
7 • 4 = 28
6 + 28 + 34 = 56
68 = 56 NOT EQUAL