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3 years ago

What is the y intercept of 60x+55y=660 [with work shown]

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

Answer:

(11, 0)

Step-by-step explanation:

to find the y intercept, set y to 0.

60x + 55y = 660

60x + 55 * 0 = 660

60x = 660

60x/60 = 660/60

x = 11

y intercept is (11, 0)

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You ask 125 randomly chosen students their favorite sport. There are 1300 students in the school. Based on the results of the su

yan [13]

780 students

Set up a proportion.

75 / 125 = x/1300

125 10.4 = 1300

75 * 10.4 = 780

x=780

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3 years ago

Can I get some help on this, please??

sdas [7]

Answer:

0.00501, the -3 means to move the decimal point to the left three

Hope this helps ;)

Step-by-step explanation:

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3 years ago

Hey can you please help me posted picture of question

ICE Princess25 [194]

The answer is true.

Method 1:
The given function is a cubic function. And inverse of a cubic function is also a function.

Method 2:
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3 years ago

If a and b are two distinct primes, the ab2 has ___ positive divisors.

Licemer1 [7]

The number ab², where a and b are prime numbers, has 6 divisors.

<h3>How many divisors are for the given expression?</h3>

Remember that any number can be written as a product of primes, for example, 15 can be written as:

15 = 3*5

Where 3 and 5 are primes.

Such that the divisors of 15 are the factors made with the primes on the right side.

So for the number:

N = a*b^2 = a*b*b

The divisors are:

a, b, a*b, b*b

And trivially, itself and 1, so there are a total of 6 divisors.

If you want to learn more about divisors.

brainly.com/question/629998

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2 years ago

Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

The complete question in the attached figure

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

3 years ago