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3 years ago

If y varies directly with x and y = 10 when k = 10, what is the value of x?

Mathematics

1 answer:

Damm [24]3 years ago

7 0

y = k *x
 y=10 ; k=10

10 = 10*x
x = 10/10 = 1

x =1

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Samantha bought 26 total fish. Each goldfish cost $3 and each guppy costs $4. She spent $86 total. How many guppies did she buy?

Alex787 [66]

Answer:

goldfish is 15 and guppies is 11

Step-by-step explanation:

Given data

let the number of goldfish be x

and the number of guppies be y

x+y= 25----------1

and

3x+4y= 86-------2

solve 1 and 2

x+y= 25

3x+4y= 86

from 1

x= 25-y

put this in 2

3(25-y)+4y= 86

75-3y+4y= 86

75+y= 86

y= 86-75

y=11

put y= 11 in 1

x+11= 26

x= 26-11

x= 15

Hence goldfish is 15 and guppies is 11

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3 years ago

What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?

horrorfan [7]

Answer:

The average acceleration of train is $5.34\ m/s^2$

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

$a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2$

The average acceleration of train is $5.34\ m/s^2$ . Negative signs shows that the train is decelerating.

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3 years ago

Name the alternate interior angle with angle 5.

const2013 [10]

<h3>Answer: B) angle 4</h3>

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Explanation:

We can think of lines L and M as sort of train tracks. Inside the train tracks we have the interior angles of: 3, 4, 5, 6

Angles 3 and 6 are one pair of alternate interior angles. They are on alternate sides of the transversal line N.

The other pair of alternate interior angles are 4 and 5

Alternate interior angles are only congruent when L and M are parallel.

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3 years ago

Read 2 more answers

7) Kelly reads x hours a week. Tim reads two times more than Kelly and Jim reads five hours more than Tim. Which expression repr

Vesnalui [34]

Answer:

I believe it is X * 2 + 5 = Jim's total

Step-by-step explanation:

X is the amount of hours Kelly reads and multiplying X by 2 is how you find Tim's total. Then to find Jim's total you add 5 because that's how many more hours he reads than Tim.

6 0

3 years ago

How to find slope and y intercept from the equation ax+by=c?

melisa1 [442]

solve for "y" so it is in the form y = mx + b. "m" is the slope and "b" is the y-intercept.

ax + by = c

by = -ax + c subtracted "ax" from both sides

y = (-a/b)x + c/b divided both sides by "b"

Answer: slope is -a/b and y-intercept is c/b

5 0

3 years ago