Answer:
L=16+W
2W+2(16+W)=256
2W+32+2W=256
4W=224
W=56
Solve: 9^(2x + 1) = 9^(3x – 2)
Answer:
x = 3Step-by-step explanation:
The same bases (9) needs the same exponents to be equal:
[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]
The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.
How to calculate the indices?From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.
Therefore, 2x + 1 = 3x - 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Therefore, the value of x is 3.
Learn more about indices on:
https://brainly.com/question/10339517
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Solve the following expression for Y
3x + 4y = 12
Answer:
y=3
Step-by-step explanation:
Solve the equation 1/2(2x+2)-1/4(3x-1)=15
Answer:
it is algebraic expression
The sum of two number is 50. The second number is five times the first. Find the number
Answer:
x=25/3 & y=125/3
Step-by-step explanation:
Let first number be x
Second number be y
x+y=50
y=5x
=>x+5x=50
=>6x=50
=>x=50/6
=>x=25/3
solve 9x - y = 45 for y
Answer:
y=9x-45
Step-by-step explanation:
9x-y=45
-y=45-9x
y=9x-45
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A bus has 6 seats and there are 8 passengers.In how many ways can the bus be filled?
Answer:
The number of ways the bus can be filled is 28 ways
Step-by-step explanation:
The given parameters are;
The number of seats in the bus = 6
The number of passengers available = 8
The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;
The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex] which can be given as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]
Therefore;
The number of ways the bus can be filled is therefore;
[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].
Turn 15/4 Into a decimal show your work
Answer:
3[tex]\frac{3}{4}[/tex] / 3.75
Step-by-step explanation:
[tex]\frac{15}{4}[/tex]
calculate the value
3.75
Which type of map is this?
Answer:
goo
Step-by-step explanation:
Joan bought a soft drink for $3 and 9 candy bars. She spent a total of $21. How much did each candy bar costs?
Answer:
2$ per candy bar
Step-by-step explanation:
21 - 3 = 18
18/9 = 2
Hopefully this helps you :)
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solve for d, s = 2d / t
s = 2d / t
Multiply both sides by t
st = 2d
Divide both sides by 2
st / 2 = d
Given f(x)
5x + 1
2 , solve for f-1(8).
Rita drove 792 miles in 11 hours.
At the same rate, how many miles would she drive in 7 hours?
0 miles
x 5 ?
Answer:
Step-by-step explanation:
Let's write an expression.
Let's say m is miles and h is hours.
[tex] 792m = 11h [/tex]
Simplify.
11 ÷ 11 = 1
792 ÷ 11 = 72
Let's rewrite our expression.
[tex] 72m = 1h [/tex]
Using this formula, you can solve anything! :)
What is the smallest possible integer value of $x$ if $12\div(x+1)$ is an integer?
Answer:
The answer is -13.
Step-by-step explanation:
We get the smallest value of [tex]x[/tex] when [tex]x+1[/tex] is the most negative factor of 12, which is -12. Therefore,
[tex]x+1=-12\\x=\boxed{-13}[/tex]
Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2370 dollars. How much money did she invest at each rate?
Answer:
Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=51000 (1)
0.04x+0.07y=2370 (2), where
x is the portion earning a simple interest rate of 4 percent per year
y is the portion earning a simple interest rate of 7 percent per year
First, you can isolate x in (1):
x=51000-y (3)
Now, you can replace (3) in (2) and solve for y:
0.04(51000-y)+0.07y=2370
2040-0.04y+0.07y=2370
0.03y=330
y=330/0.03
y=11000
Then, you can replace the value of y in (3) to find the value of x:
x=51000-11000
x=40000
According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
When converting between the mixed numbers and improper fractions, the ____always stays the same
Answer: Denominator ♥️
Step-by-step explanation:
Find sin 0.
15
8
0
please help! very important
Answer:
D
Step-by-step explanation:
In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.
Answer: for me the answer was 15/17
Step-by-step explanation:
12+-5= plz help would be great if soon
Answer:
7
Step-by-step explanation:
Basically when you add negative numbers, you subtract, if that makes sense.
Example:
If you have twelve apples, and then eat five of them, then you have seven left.
HELLPPPPPPPPP WITH THE TOP THREE PLS
Answer:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞≤x≤∞
Range: -∞≤y≤∞
11) Domain: -∞≤x≤∞
Range: y≥-2
13) Domain: -∞≤x≤∞
Range: -2≤y≤4
Step-by-step explanation:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞<x<∞
Range: -∞<y<∞
11) Domain: -∞<x<∞
Range: y≥-2
13) I think you need to look at this one again. It looks like:
Domain: -∞<x<∞
Range: -2≤y≤4
3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.
Step-by-step explanation:
Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.
It means,
x+x+1+x+2=114
3x+3=114
3(x+1)=114
x+1=38
x=37
So, first side is 37 cm
Second side is 37+1=38 m
Third side is 37+2=39 m
Hence, this is the required solution.
19-4q+q-11 simply the experssion
━━━━━━━☆☆━━━━━━━
▹ Answer
8 - 3q
▹ Step-by-Step Explanation
19 - 4q + q - 11
Combine like terms in terms of q:
-4q + q = -3q
Combine like terms:
19 - 11 = 8
Final answer:
8 - 3q
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
I need help pleaseeee you get 44 points if you answer my last question and be serious
I dont even know how to start answering that last question...
Harry parks his toy cars. he has less than 100 cars. When he parks them in groups of three, there will be two left, when he parks them in groups of four, there will be two left and when he parks them in groups of 5, there will be two left. How many will be left if he parks them in groups of seven? What method do you use here?
Answer:
Step-by-step explanation:
Examples: 4.121121112... For each square below, is the side length rational or irrational? A Blom A = 89 cm 1. What is the formula for the area of a...
Celine was working on the following problem and can't seem to get the problem right. Choose the step where she made a mistake.
(-2×2-6) ÷2
Answer:
- 5
Step-by-step explanation:
Given
(- 2 × 2 - 6) ÷ 2
Evaluate the parenthesis performing the multiplication before subtracting.
= (- 4 - 6) ÷ 2
= - 10 ÷ 2
= - 5
Expand each of the following expressions
(b-2) (b+7)
Answer:
[tex] {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
By algebraic identity:
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
Hope it is helpful for you
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x^2-15x+26 factoring need help
Answer:
x^2 - 2x - 13x + 26 = (x-2)(x-13)
Step-by-step explanation:
x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)
= x(x-2) - 13(x-2) = (x-2)(x-13)
A carpenter and his assistant can do a piece of work in 3 days. If the carpenter himself could do thework alone in 5 days, how long would the assistant take to do the work alone?
Answer:
7 1/2 days
Step-by-step explanation:
The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:
1/5 + 1/a = 1/3
1/a = 1/3 -1/5 = 2/15
a = 1/(2/15) = 15/2 = 7.5
The assistant takes 7.5 days to do the work alone.
is 34.223 greater than 34.232
Answer:
Yes
Step-by-step explanation:
Is [tex]34.223[/tex] greater than [tex]34.232[/tex]?
Let's compare these two decimals.
[tex]34.223[/tex] ? [tex]34.232[/tex]
It may look like [tex]34.232[/tex] is bigger but it actually isn't. The first thing you have to do is look at the last digit in the decimal.
In the first decimal([tex]34.223[/tex]), the last digit is 3. In the second decimal([tex]34.232[/tex]), the last digit is 2. 3 is bigger than 2 so the decimal that is greater is [tex]34.223[/tex].
Hope this helps!
Sam is playing in a tree house 15 feet above sea level. Levi is swimming in a pool 7 feet below sea level. How far apart are the boys?
The measure of an angle is equal to the measure of its complement.
Answer:
Step-by-step explanation: just learn
Reposted this Bc idk if ppl saw it
Answer:
Hey there!
4 2/3 can be written as 14/3
The ones that represent a rational number are the fourth and fifth options.
Let me know if this helps :)