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3 years ago

On a certain hot summer's day, 622 people used the public swimming pool. The

Mathematics

1 answer:

Crank3 years ago

6 0

Answer:

There were 257 children and 365 adults at the public pool.

Step-by-step explanation:

Let the number of children and adult be x and y respectively,

x+y = 622

1.5x+2y = 1115

Now,

x+y = 622

or, x = 622 - y

Now,

1.5x + 2y= 1115

or, 1.5(622-y) + 2y = 1115

or, 933 - 1.5y + 2y = 1115

or, 933 + 0.5y = 1115

or, 0.5y = 1115-933

or, 0.5y = 182

so, y = 182/0.5

so, y = 365

Now,

x+y = 622

or, x + 365 = 622

so, x = 257

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Solve m+4>9 Please help

lbvjy [14]

Answer:

m>5

Step-by-step explanation:

Let's solve your inequality step-by-step.

m+4>9

Step 1: Subtract 4 from both sides.

m+4−4>9−4

m>5

8 0

3 years ago

Read 2 more answers

malik collects rare stamps and has a total of 212 stamps. he has 34 more domestic stamps than foreign stamps. let x represent th

valina [46]

x = number of domestic stamps

y = number of foreign stamps

Malik collects rare stamps and has a total of 212 stamps.

=> x + y = 212

he has 34 more domestic stamps than foreign stamps.

=> x = y + 34

which equation represents the total number of stamps malik collected?

x + y = 212

which equation represents the difference in the number of foreign and domestic stamps malik collected?

x - y = 34

which system of linear equations represents the situation?

x + y = 212
x - y = 34

8 0

3 years ago

Read 2 more answers

2 In eIn2x - In eIn 10x = In 30 x=30 x=75 x= 150 x=300

Alex_Xolod [135]

The value of x = 75 ⇒ 2nd answer

Step-by-step explanation:

Let us revise some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$
$e^{ln(a)}=a$
$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$
If ㏑(a) = ㏑(b), then a = b

∵ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

- Use the 2nd rule to simplify it

∵ $e^{ln(2x)}=2x$

∵ $e^{ln(10x)}=10x$

∴ 2㏑(2x) - ㏑(10x) = ㏑(30)

- Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

∵ $ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})$

∴ $ln(\frac{4x^{2}}{10x})=ln(30)$

∵ $\frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x$

∴ $ln(\frac{2}{5}x)=ln(30)$

- Use the 4th rule

∴ $\frac{2}{5}$ x = 30

- Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

Learn more:

You can learn more about logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0

3 years ago

Maria put the letter tiles A,E,I,O, and U in a box. Each letter is on two separate tiles in a box.what is the probability of ran

d1i1m1o1n [39]

5 letters 2 tiles each = 10 total tiles

2 are A and 2 are E so 4 possible tiles

she has a 4/10 = 2/5 probability

4 0

4 years ago

Which graph represents the inequality y<−1+2x?

tatiyna

The inequality is y<2x-1.

To draw the solutions, we first start our solution by drawing the line y=2x-1.

To draw a line, it is enough to determine 2 solutions (x, y), plot them in the coordinate axes, and finally join them by a line.

Let x=0, then y=2*0-1=0-1=-1, so we have the point (0, -1).

Now, if y=0, x=1/2, so we have the point (1/2, 0).

We can see that these 2 points are points of the lines on the 2 pictures on the left. Now we want to determine which region to color, the region below the line, or the one above it.

Consider any point which is not on the line, for example (1, 2). We plug x=1 and y=2 in the inequality. If the inequality holds, it means that we are in the solutions region. If it does not hold, then we are on the not solutions regions.

We check: for x=1, y=2 the inequality y<2x-1 is 2<1, which is not true. So the point (1, 2) can't be in the colored region.

Thus the answer is bottom left.

Answer: Bottom left picture.

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3 years ago