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1 year ago

If y varies directly as x and z, y=108 when x=8 and z=3 find y when x =2 and z=1

Mathematics

1 answer:

Alenkasestr [34]1 year ago

6 0

Your answer would be y=9

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A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav

Genrish500 [490]

Answer:

24 km/h

Step-by-step explanation:

The speed of the boat in the lake = x
The speed of the current = 3 km/h

Required equation:

54 / (x + 3) + 42 / (x - 3) = 96/x
9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
9x² - 27x + 7x² + 21x = 16x² - 144
6x = 144
x = 144/6
x = 24 km/h

7 0

2 years ago

What is the measure

Crazy boy [7]

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6 0

2 years ago

I need help on a math question thank u

ElenaW [278]

Answer:

XZ is longer than XY

Step-by-step explanation:

First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.

(1, -1) and (-5, -5)

-5- -1 = -4

-5-1 = -6

-4^2+-6^2 = c^2

16+36 = c^2

52 = c^2

7.21110255 = c

So, the length of XZ is 7.21110255 units long

(1, -1) and (8, -2)

8-1 = 7

-2--1 = -1

7^2+-1^2 = c^2

49+1 = c^2

50 = c^2

7.07106781 = c

So, the length of XY is 7.07106781 units long.

XZ is longer than XY

4 0

1 year ago

A television with a price of

Digiron [165]

Answer:

C. 300=60+30w

Step-by-step explanation:

Given:

Price of television-$300

Initial Payment-$60

Weekly payments-$30

Let weekly payments be w:

The initial payment plus the weekly installments should be equivalent to the television price:

$300=60+30w\\\\240=30w\\\\w=8$

The number of weekly payments is 8 weeks and the equation to solve for w is

300=60+30w

6 0

2 years ago

At the movie theater, childs admission is $6.10. Adult admission is $9.40. On Tuesday four times as many adult tickets as child

Harlamova29_29 [7]

Answer:

The number of children's tickets sold was 27

Step-by-step explanation:

Let

x ----> the number of children's tickets sold

y ----> the number of adult's tickets sold

we know that

$6.10x+9.40y=1,179.90$ ----> equation A

$y=4x$ ----> equation B

Solve the system by substitution

Substitute equation B in equation A

$6.10x+9.40(4x)=1,179.90$

solve for x

$6.10x+37.6x=1,179.90$

$43.7x=1,179.90$

$x=27$

therefore

The number of children's tickets sold was 27

8 0

2 years ago