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solong [7]
3 years ago
11

Help me plsssssssssssssssssssssss

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0
Estimated difference: 83
actual difference: 81.91
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8 less than 2 times a number is greater than the sum of the same number and 9
lyudmila [28]

step-by-step explanation:

every time we see "a number" or "the same number," we can add a variable (we'll use x here).  rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of  x and 9.  

next, we can work backwards to write an inequality.  we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.

for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9.  so now the inequality should look like this: 2x - 8 > x + 9.  

now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.

then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15

hope this helps! <em>:)</em>

4 0
3 years ago
Three letters are chosen at random from the letters P, A, N, S, O, L. What is the size of the sample space of this experiment? A
AVprozaik [17]
You need to find the number of permutations of the 6 different letters, taken 3 at a time.
6P3=\frac{6!}{(6-3)!}=\frac{6\times5\times4\times3\times2\times1}{3\times2\times1}=120
Therefore the sample space is 120 possible outcomes.
3 0
3 years ago
Read 2 more answers
Aidan has $65 in his bank account. His brother Michael also has a bank account. They want to calculate the amount of money in bo
Aleks [24]

Answer:

m, the amount of money in Michael's bank account

t, the total between the two bank accounts

the equation could be 65+m= t

hope this helps :)

4 0
3 years ago
The Badgers and the Cougars have won the same number of games. However, the Badgers have won a greater percent of their games th
pogonyaev

Answer: This is possible because of the total of matches played. If the Badgers have won a greater percentage of their games than the Cougars, it means that they played less games.

Step-by-step explanation: The percentage of games won is related to the total number of games played. For example, let's suppose that the Badgers played 10 games, won 6 and lost 4, they won 60% of their games. If the Cougars played 12 games, won 6 and lost 6, their percentage is 50%. This way, they have the same number of wins but different percentages.

8 0
3 years ago
Read 3 more answers
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
azamat

Answer:

The perimeter of rectangle is 18\ cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

x=y+5 ----> equation A

120=xy+2x^{2}+2y^{2} ---> equation B (area of the constructed figure)

substitute the equation A in equation B

120=(y+5)y+2(y+5)^{2}+2y^{2}

120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0

using a graphing calculator -----> solve the quadratic equation

The solution is

y=2\ cm

Find the value of x

x=y+5 ----> x=2+5=7\ cm

Find the perimeter of rectangle

P=2(x+y)=2(7+2)=18\ cm

8 0
3 years ago
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