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Mashcka [7]
2 years ago
9

Moscow, the capital city of Russia, is at 37.62 degrees longitude and 55.75 degrees latitude. Brasilia, the capital city of Braz

il, is at -47.87 degrees longitude and -15.8 degrees latitude.Write an expression to find the distance (in degrees) between the latitude lines of Moscow and Brasilia. Use absolute value in your expression.
Mathematics
1 answer:
Marina86 [1]2 years ago
8 0

Answer:

|55.75-(-15.8)|-x

Step-by-step explanation:

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Lance has three times as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
hoa [83]
Is 47 l think !!!!!!!!!!!!!!!!!!!!!
6 0
2 years ago
Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much al
eimsori [14]
If it doubles every 4 hours, in 12 hours you will have 3 doublings.
2 * 2 * 2 = 8
90*8 = 720 pounds of algae

7 0
2 years ago
The owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. What percen
Troyanec [42]

Answer:

40%.

Step-by-step explanation:

We have been given that the owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. We are asked to find the percentage of business owned by Susan.

Let us figure out total money invested in business by adding the money invested by John Smith and Susan Jones.

\text{Total money invested in business}=\$240,000+\$160,000

\text{Total money invested in business}=\$400,000

Now we will find $160,000 is what percent of $400,000.

\text{Percentage of business Susan own}=\frac{160,000}{400,000}\times 100

\text{Percentage of business Susan own}=0.4\times 100

\text{Percentage of business Susan own}=40

Therefore, Susan owns 40% of the business.

5 0
2 years ago
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x)
Verdich [7]

Answer:

g(x)=(x+7)^2-3

Step-by-step explanation:

Given:

f(x)= x^2

Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).

As per the rules of translation

when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)

Also when the parent function is translated any 'a' units down then 'a' is subtracted from the value of function. thus making f(x)-a

Translating f(x), 7 units to the left

f(x+7)= (x+7)^2

Translating f(x+7), 3 units down

f(x+7)-3 = (x+7)^2-3

Hence new function g(x)=(x+7)^2-3!

7 0
2 years ago
the area of a rectangular field is 18000m^2 if the ratio of length and breath is 5:4 find its perimeter
zavuch27 [327]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{540 \: m}}}}}

Step-by-step explanation:

Let the length and breadth be 5x and 4x respectively.

Area of rectangular field = 18000 m²

<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x</u>

Area of rectangle = \sf{l \times b}

Plug the values

⇒\sf{18000 = 5x \times 4x}

Calculate the product

⇒\sf{18000 = 20 {x}^{2} }

Swap the sides of the equation

⇒\sf{20 {x}^{2}  = 18000}

Divide both sides of the equation by 20

⇒\sf{ \frac{20 {x}^{2} }{20}  =  \frac{18000}{20} }

Calculate

⇒\sf{ {x}^{2}  = 900}

Squaring on both sides

⇒\sf{x = 30}

<u>Replacing the value of x in order to find the value of length and breadth</u>

Length = \sf{5x = 5 \times 30 = 150 \: m}

Breadth = \sf{4x = 4 \times 30 = 120 \: m}

<u>Finding </u><u>the </u><u>perimeter</u><u> </u><u>of </u><u>the </u><u>rectangular</u><u> </u><u>field</u>

Perimeter of rectangle = \sf{2(l + b)}

plug the values

⇒\sf{2(150 + 120)}

Distribute 2 through the parentheses

⇒\sf{300 + 240}

Add the numbers

⇒\sf{540 \: m}

Hope I helped !

Best regards!!

8 0
2 years ago
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