Answer: Answer: x> -2/11
Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x
Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x
Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x
Multiply the monomials:-15x + 10< 2 x 6 - 4x
Calculate the product or quotient: -15x + 10<12-4x
Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10
Combine like terms: -11x < 12 - 10
Calculate the sum or difference: -11x<2
Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)
Rewrite as fraction: x> 2/-11
Rewrite the fraction: x> -2/11
Answer: x> -2/11
The solution to the inequality is x>-2/11.
The given inequality is -5/2 (3x-2)<6-2x
We need to simplify the given inequality step by step.
How to solve inequality?To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality. First, isolate the x by multiplying each side by two. Whatever you do to one side you must also do to the other side.
Now, multiply both sides of the inequality by 2.
That is, -5(3x-2)<2(6-2x)
=-15x+10<12-4x
Add both sides of the inequality by 4x.
That is, -15x+10+4x<12-4x+4x
=-11x+10<12
Subtract 10 on both sides of the inequality.
That is, -11x+10-10<12-10
-11x<2
Divide both sides of the inequality by -11.
x>-2/11
Therefore, the solution to the inequality is x>-2/11.
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Shelby invests £14000 in a savings account. The account pays 2.5% compound interest per year.
Work out the value of her investment after 2 years.
Answer:
70000
Step-by-step explanation:
Answer:
£14708.75
Step-by-step explanation:
Always start with the original amount, in this case 14000.
Then, because it's an increase, add 2.5 to 100. You could also think of it as adding 2.5% to 100%, which is 102.5%. We then divide that by 100.
So far our calculation is 14000 x 1.025.
We now need to do this for the two days on. We can do this in 2 ways.
1. 14000 x 1.025 x 1.025
or.
2. 14000 x 1.025^2
They're both the same thing.
We then type that calculation into your calculator and you should get £14708.75
Hope that helped :)
A box of chocolates contains only white and dark chocolates in a 2 : 7 ratio. Fill in the gap in the following sentence: 2 in every chocolates are white.
Answer:The given information is 24 total chocolates. You have a 2 to 1 ratio, so 24 ÷ # of milk chocolate = 2 ÷ 1.
24⁄x = 2⁄1 solve for x, milk chocolate = 12.
milk chocolate (12) + plain chocolate (24)= 36 Total
Hope this helps!
what is the rule for the reflection
Answer:
w
Step-by-step explanation:
er
will give brainliest
Which expression is equal to 27√ ?
147√
27√49
27√7
727√
is 0.001 a rational or irrational number
Answer:
rational number
Step-by-step explanation:
A rational number cannot be divisible by multiple factors. (hint. every number is divisible by itself and 1)
How do you graph n > -9?
Answer:
In order to graph this follow these steps
Put an OPEN dot on the number -9 and then draw or color a line to the right of the line.
4W
3. Jenny is having a party. She has one
large container of soda with 179 ounces
in it. A second container holds 128
ounces, but half of it has already been
used. If there are 12 people at the party,
how much soda can each person have?
1
Answer: 25.5833333 or rounded is 26
Step-by-step explanation:
179+128=307
307 divided by 12 is 25.5833333
Anthony drives 15 km at 40 kph and return at the rate of 60kph , what is the average rate for the entire round trip
9514 1404 393
Answer:
48 kph
Step-by-step explanation:
The distance is immaterial, as long as it is the same at both speeds. The total time for some distance d is ...
t = d/40 +d/60
And the average speed is ...
2d/t = 2d/(d(1/40 +1/60) = 2/(1/40 +1/60) = 2(40)(60)/(40+60) = 4800/100 = 48
The average rate for the round trip is 48 kph.
_____
Additional comment
This value is called the harmonic mean of the two speeds. It is the reciprocal of the average of the reciprocals of the speeds.
Factor this please thank you !!
Answer:
[tex] {y}^{2} - 14y + 45 \\ \\ {y}^{2} - 9 y + 5y - 45 \\ \\ y(y - 9) - 5(y - 9) \\ \\ (y - 5)(y - 9)[/tex]
Here's the solution :
[tex] {y}^{2} - 4y+ 45[/tex]
[tex] {y}^{2} - 9y - 5y + 45[/tex]
[tex]y(y - 9) - 5(y - 9)[/tex]
[tex](y - 5)(y - 9)[/tex]
therefore, the roots are 5 and 9
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
Answer:
Step-by-step explanation:
d.) .7107
e.) .2185
1. What is the constant of proportionality?
2. What is the equation?
Answer:
y = 1/3a
Step-by-step explanation:
y = ka
1 = 3k
k = 1/3
Confirm constant: (4-1)/(12-3) = 3/9 = 1/3
1 = 3(1/3) + b
1 = 1 + b
b = 0
y = 1/3x or 1/3a
128 ounces = ____?____ pounds
Answer:
8
Step-by-step explanation:
There are (3^5)2 ⋅ 3^0 leaves on a tree. What is the total number of leaves on the tree?
3^3
3^7
3^10
3^25
Answer:
65x
Step-by-step explanation:
What do I do here ???
Answer: You ask others to complete your homework and then you give them a thanks and copy and paste their answer.
The graph of F(x) shown below, resembles the graph of G(x) = x2 but it has been charged somewhat. which of the following could be the equation of F(x)? Please help!!! I’m stuck!!! Thanks!!!!!
Answer:
es la a espero que te ayude corona
Use Quadratic equation to solve
a2 -4a - 4 = 0
Answer:
a = 2 ± 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
a = 1
b = -4
c = -4
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
x = (-(-4) ± [tex]\sqrt{(-4)^2-4(1)(-4)}[/tex]) / 2(1)
x = (4 ± [tex]\sqrt{16 +16}[/tex]) / 2
x = (4 ± 4[tex]\sqrt{2}[/tex]) / 2
x = 2 ± 2[tex]\sqrt{2}[/tex]
Your variable being solved is a so a = 2 ± 2[tex]\sqrt{2}[/tex]
A single ant colony may have as many as 90,000 members. What is that number written as a whole number multiplied by a power of 10?
Answer:
9
Step-by-step explanation:
9×10=90 would make up the ant colony
erin wants to equally divide oatmeal bars among five friends if she has 12 bars how many will each friend receive
Answer:
Each friend gets 2.4 bars
Step-by-step explanation:
12/5 is 2.4
Answer:
2.4 oatmeal bars
Step-by-step explanation:
12/5=2.4
What is 42 x 118 In a full equation?
Answer:
4956
Step-by-step explanation:
alternative forms
4.956×10³
How do i get 51 with the numbers 5, 6, 7, 8? Must use all of the numbers and only can use addition, subtraction, multiplication, or division.
Answer:
(8-5)*(6+7+(8-6)+(7-5))
Step-by-step explanation:
By using the digits in a way of (8-5)×(6+7+(8-6)+(7-5)) we get 51.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, we have to get a result of 51 using the digits 5, 6, 7, 8 and must use all of the numbers and only can use addition, subtraction, multiplication, or division this can be formed as,
51 = (8-5)×(6+7+(8-6)+(7-5))
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english 2 hhhhheehllllllppp
Answer:
adds drama
Step-by-step explanation:
it talks about dramas
Answer:
a
Step-by-step explanation:
it adds drama
Identify each number as rational or irrational.
Number
Rational or irrational?
3
3
116
(3
18
0.625
0.987987987..
Step-by-step explanation:
sorry answer ia not clear
The $5$th power of what number is equal to $3^{15}$?
Answer:
what
the numbers are all messed up
how would you prefer to see your quiz score,as a fraction or as a percent? Explain. (what would you choose and why?)
For me, a percent is easier to think about. Knowing I scored 80% make sense. 80%, like 80¢ out of a dollar, makes sense and I can relate to it.
If you tell me I scored 52/65, I can't relate to that as easily, even though that's still 80%.
HELP ME PLEASEEEEEEEE
Answer:
[tex]6^{9}[/tex]
Step-by-step explanation:
When multiplying exponents with the same base, add the exponents:
[tex]\frac{6^{10-4} }{6^{-5+2} }[/tex] = [tex]\frac{6^{6} }{6^{-3} }[/tex]
Then use the negative exponent rule
[tex]\frac{6^{6} }{6^{-3} }[/tex] = [tex]6^{6+3}[/tex] = [tex]6^{9}[/tex]
Simplify: A. 35/6 B. 29/6 C. 12/5 D. 1/6
Answer:
[tex] \frac{49 - 3}{6} + \frac{24 - 17}{3} = \frac{46}{6} + \frac{7}{3} = \frac{46 + 7 \times 2}{6} = \frac{60}{6} = 10[/tex]
dave can clean pools at a constant rate of 3/5 pools/hour. how many pools can dave clean in 15 hours?
Part 1 - Application
Give a convincing argument with logical explanations that the contrapositive of a conditional is the
same as the converse of the inverse of the conditional
Answer:
see explanation. (I did this exact assignment this morning, and this is very similar to what I submitted)
Step-by-step explanation:
The contrapositive of a conditional is the same as the converse of the inverse of the conditional.
The best way to prove/support this statement is to create an example. You should start by creating a conditional; you can then form the conditional's converse, inverse, and contrapositive. Here is an example:
Conditional: If C, then D. (starting statement)
Converse: If D, then C. (conditional reversed)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example you gave, you can conclude:
The converse of the inverse: If not D, then not C. (reversed opposite of the conditional)
Because: The converse is the conditional reversed (If D, then C). The inverse of the converse, in this case, would then make it the opposite (If not D, then not C).
I have not yet received a grade on this assignment, but I know the information is correct; the amount of explanation you need to give really depends on how your teacher grades. Personally, I just submitted an example (similar to the one above) that was color-coded to help show the different parts of each statement.
I hope this helps! :)
b. After how many months
will the bamboo plant
be 66 inches tall?
Explain or show your
reasoning
Answer:
Please attach a graph as your question lacks needed information
Step-by-step explanation:
A rectangular prism has a length of 5/6 inches and a width of 3/5 inch. The volume of the prism is 2/3 cubic inch. Find the height of the prism. Write your answer as a fraction or mixed number in simplest form
Answer: 1 1/3 inches