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2 years ago

There are 75 boys, 60 girls and 15 teachers at a kindergarten.

Mathematics

1 answer:

zalisa [80]2 years ago

5 0

Answer:

boys:girls:teachers

5 : 4 :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75 : 60 :15

Divide each term by 15

75 /15 : 60/15 :15/15

5 : 4 :1

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a boat going upstream at 4 mph then travels downstream at 10 mph. what is the rate of the boat in still water

elixir [45]

Answer:

7 mph

Step-by-step explanation:

If b is the rate of the boat, and s is the rate of the stream, then:

b − s = 4

b + s = 10

Solve the system of equations with substitution or elimination. Using elimination, add the equations together:

2b = 14

b = 7

The boat's rate is 7 mph.

7 0

3 years ago

Pls help! will give brainlist!<br><br> write a story that can describe the expression: <br> 75x - 20

melisa1 [442]

Hope it helps!! Happy holidays!!

6 0

2 years ago

The intensity of a light source at a distance is directly proportional to the strength of the source and inversely proportional

jolli1 [7]

Answer:

x= $\frac{16}{\sqrt[3]{2}+1 }$

Step-by-step explanation:

Q= illumination

I = intensity

Q= I/d^2

Q_total = $\frac{I_1}{d_1^2}+\frac{I_2}{d_2^2}$

= $\frac{I}{x^2}+\frac{2I}{(16-x)^2}$

now Q' = 0

⇒I ${-\frac{2}{x^3}}+\frac{4}{(16-x)^3}$

x= $\frac{16}{\sqrt[3]{2}+1 }$

[/tex] $\frac{1}{x^3} = \frac{2}{(16-x)^3}$

x= $\frac{16}{\sqrt[3]{2}+1 }$

is the required point

5 0

2 years ago

Solve the equation for x.

liq [111]

Answer:

$x=55$

Step-by-step explanation:

The given equation is $\sqrt{x-6}+3=10$

Group similar terms to get:

$\sqrt{x-6}=10-3$

$\sqrt{x-6}=7$

Square both sides to obtain:

$x-6=7^2$

$x-6=49$

Add 6 to both sides

$x=49+6$

Simplify the right hand side to obtain;

$x=55$

6 0

2 years ago

A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much

astraxan [27]

Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

$8.99x + 3.99y \leq 60$ ;......[1] where x, y are natural number.

x-intercept:

Substitute the value y= 0 in [1] and solve for x;

$8.99x + 3.99(0) \leq 60$

$8.99x \leq 60$

Simplify:

$x \leq 6.667$

Since, x is in natural number;

$x \leq 7$

Similarly.

For y-intercept:

Substitute the value x= 0 in [1] and solve for x;

$8.99(0) + 3.99y \leq 60$

$3.99y \leq 60$

Simplify:

$y \leq 15.037$

$y \leq 15$

Therefore, we have

$8.99x + 3.99y \leq 60$ ;

$2\leq x\leq 7$ and $0\leq y\leq 15$

8 0

2 years ago