MATHEMATICS MIDDLE SCHOOL

Solve for x. Round your answer to the nearest hundredth.
11.22x - 200 < 347.96

Answers

Answer 1

Answer:

Answer:

$x<48.84$

Step-by-step explanation:

Considering the expression

$11.22x-200<347.96$

$\mathrm{Multiply\:both\:sides\:by\:}100$

$11.22x\cdot \:100-200\cdot \:100<347.96\cdot \:100$

$\mathrm{Refine}$

$1122x-20000<34796$

$\mathrm{Add\:}20000\mathrm{\:to\:both\:sides}$

$1122x-20000+20000<34796+20000$

$\mathrm{Simplify}$

$1122x<54796$

$\mathrm{Divide\:both\:sides\:by\:}1122$

$(1122x)/(1122)<(54796)/(1122)$

$\mathrm{Simplify}$

$x<(27398)/(561)$

$x<48.83778$

Round the answer to the nearest hundredth

$x<48.84$

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Kenneth drove 184.25 miles in 3 7/20 hours. What was his average speed

Answers

To solve this problem, all you have to do is set up a proportion, letting x represent Kenneth's average speed per hour.

184.25/3.35 = x/1

Now, we use cross products, or the multiplication of the numerator of one fraction times the denominator of another fraction, and setting them equal to one another.

3.35x=184.25

Finally, we divide both sides by 3.35, because it's the coefficient of x, and we are trying to get the variable x alone.

x=55

Therefore, Kenneth's average speed was 55 miles per hour.

936 round to the nearest ten

Answers

It be rounded to 940

The answer would be 940. Since 6 is more than 5, you round it up.

The figure below represents a building in the shape of a pentagon. Using the scale 1 inch = 94 feet, what isthe perimeter of the building?

Answers

If 1 inch = 94 feet, 4 inches is 94 × 4.

94 × 4 = 376

Add 376 to itself 5 times, or use a simpler method and multiply 376 by 5.

376 + 376 + 376 + 376 + 376 = 1,880

376 × 5 = 1,880

Answer:

The perimeter is 1,880 feet. (20 without the scale applied)

Enter the value of n so that the expression (-y + 5) + (7y - 9) is equivalent to (ny - 4)

Answers

the answer is :
n = 6

Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.How many children and how many adults attended the movies?

children

adults

Answers

Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.

At the school fete, the drinks sold inthe first hour were recorded:
Cola (27 cans) Lemonade (16 cans)
Orange (12 cans) Lemon (9 cans)
What is the probability the next drink
sold is lemonade?
%