MATHEMATICS MIDDLE SCHOOL

23=x-9;x=14 is this a solution of the equation .?

Answers

Answer 1
Answer: NO\ because:\n\nx-9=23\ \ /+9\nx=32\n\n\nor\n\n\nx=14\n\nL=14-9=5\nR=23\nL\neq R
Answer 2
Answer:

Answer:

23=5 is not a solution to an equation

Step-by-step explanation:

23=14-9

23=5

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If the area of a rectangle is 40" and the perimeter is 48", what are the side lengths of the rectangle?

Answers

The side lengths are 4 by 10. wait hold on nevermind sorry!

Write a rule and an equation to fit the patterns

Answers

first one: multy by 8. down to top    ex:    -2x8 =-16
48% error because it would be 24% if it was out of 100 but u have to double it becuase its out of 200

In a survey, 70 out of 84 people from the north prefer professional football over college football. 120 people from the south were asked the same question. In order for favorite type of football and region to be independent, how many people in the south would have to prefer professional football

Answers

Answer: Around 100 people will answer that they prefer professional football.

Step-by-step explanation:

In the north, 70 out of 84 prefer professional football, then the relative frequency is

p = 70/84 = 0.83

Now, in the south, they asked to 120 people, and we can assume that the relative frequency will be about the same than in the north (because the relation is independent, which means that the region does not affect on the answer to the question of if they prefer professional or college football), so we have that if X people prefer professional football, we have:

p = X/120 = 0.83

X = 120*0.83 = 100

So around 100 people will answer that they prefer professional football.

Find the amount of the principal when the simple interest rate is 4.345%, the time is 7 months, and the amount of interest earned is $274.00.

Answers

tis noteworthy that 7 months is not even a year, since there are 12 months in a year then 7 months is really 7/12 of a year.

\bf ~~~~~~ \textit{Simple Interest Earned} \n\n I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$274\n P=\textit{original amount deposited}\n r=rate\to 4.345\%\to (4.345)/(100)\dotfill &0.04345\n t=years\dotfill &(7)/(12) \end{cases} \n\n\n 274 = P(0.04345)\left( \cfrac{7}{12} \right)\implies \cfrac{274}{(0.04345)(7)/(12)}=P\implies 10810.46\approx P

Mr. Carter is planning a special event for 98 guests. A catering company tells him that the cost of food for each guest will be $16. The cost for drinks for each guest will be another $5. Based on that, Mr. Carter works out that the total catering bill will be $20,580. Does that sound about right?

Answers

Answer: No, the correct answer is $2058.

Step-by-step explanation:

First, you should multiply 16 by 98. This will get you 1568. Then, you multiply 5 by 98, which will get you 490. Once you have these two numbers, you add them together, which gets you the total cost of $2058.

Hope this helped!

Find the greatest common factor of 25 and 33 .

Answers

factor and find commmon ones
25=1*5*5
33=1*3*11

GCF=1
(I am noticing that GCF=1 for many of your questions)
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