5(x-y)=3x+2y

pls solve this linear equation for its standard form​

Answer:

y=-3x+6

Step-by-step explanation:

3=-3*1+b

3=-3+b

b=6

y=-3x+6

-3*1 is -3+6 is 3

Answer:

32.5 miles

Step-by-step explanation:

Given that:

Eastbound bus :

0.8 miles every 45 seconds

Speed per second :

0.8 / 45 = 0.0177777 miles per second

Distance after 15 minutes

(15 * 60) * 0.0177777 = 16 miles

Westbound bus:

0.55 miles every 30 seconds

Speed per second :

0.55 / 30 = 0.0183333 miles per second

Distance after 15 minutes :

(15 * 60) * 0.0183333 = 16.5 miles

Distance apart :

16 miles + 16.5 miles = 32.5 miles

METHOD 2:

Distance covered after 15 minutes :

15 minutes = 15 * 60 = 900 seconds

Distance apart after 900 seconds :

[0.8 * (900/45)] + [0.55 * (900/30)]

16 + 16.5

= 32.5 miles

Answer:

y = 45 - 3x

Step-by-step explanation:

Given that:

Bathtub drains at a constant rate :

Amount of water in tub after 3 minutes = 36 gallons

Amount of water in tub after 7 minutes later (3 + 7) ;(after 10 minutes) = 15 gallons

Using the slope - intercept relation:

y = mx + c

y = gallons in tub after x minutes

m = slope (rate at which water drains per minute)

C = intercept

Hence,

Amount of water in tub after 3 minutes = 36 gallons ; x = 3,; y = 36

Since water is draining gradient m is negative

36 = c - 3m - - - (1)

Amount of water in tub after 7 minutes later (3 + 7) ;(after 10 minutes) = 15 gallons

15 = c - 10m - - - (2)

Subtract (2) from (1)

21 = - 3m + 10m

21 = 7m

m = 3

From (1)

36 = c - 3(3)

36 = c - 9

36+ 9 = c

45 = c

Hence, the equation becomes ;

y = 45 - 3x

Answer:

infinite number of solutions

Step-by-step explanation:

Given

t - 27 = - (27 - t) ← distribute

t - 27 = - 27 + t

Since both sides are the same then there are an infinite number of solutions

Answer:

10 years

Step-by-step explanation:

You start by writing an equation:

(2/3) * (15) = x

x being how many years it has been asleep.

Then multiply the two numbers together:

x = 10

Answer:

10 years

Step-by-step explanation:

Divide the cats life by the denominator to find how much it sleeps for 1/3 of its life.

15  3 = 5 years

Multiply 5 by the numerator to find how much it sleeps for 2/3 of its life.

5 * 2 = 10 years

Best of Luck!

Answer:

50

Step-by-step explanation:

k;';'kl;'kl;'kl;'kl;'kl;'kl'kl;'kl;'kl;'kl;

Step-by-step explanation:

[tex] \frac{7}{100} \times 30 = 2.10[/tex]

[tex]30 + 2.10 = 32.10[/tex]

Answer:

b

d

e

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need to add angle of rotation, direction and center of rotation..

Answer:

n+5m=4

Step-by-step explanation:

n- 5m

34-5(6)

34-30

4

Answer:

Step-by-step explanation:

Use y=mx+b so do y1-y2 over x2-x1 to get the slope then do y=m(slope)x+b and whatever number you get from doing slope(x-x1) you substitute your x1 with the number and subtract or add to get y=slope + whatever number you have left after you did the inverse on both sides

for example: y=-2x-3.

Answer:

1344 meters in two minutes.

Step-by-step explanation:

since its moving at 11.2 meters per second then you multiply 11.2 times 60. You should get 672 meters per minute. Now you need to multiply 672 by 2 to get the answer 1344

Answer:

45% of 188.94 is 85.023 so we do this 188.94 - 85.023 would equal 103.917

Step-by-step explanation:

THE ANSWER IS 103.917! HOPE THIS HELPS! PLZ GIVE ME BRAINLIEST

Answer:

Recursive formula

= an = a1 +(n - 1)d

Where

a1 = First term

n = nth term

d = common difference

The height of the tree after 6 weeks = 711.5 centimeters or 7.115 meters

Step-by-step explanation:

Recursive formula

= an = a1 +(n - 1)d

Where

a1 = First term

n = nth term

d = common difference

We are told that the tree is 7 meters tall today = a1

We convert to centimeters

1m = 100cm

7m =

Cross Multiply

= 7 × 100cm

= 700cm

And it grows at an average of 2.3cm per week = 2.3

Hence, an = a1 +(n - 1)d

We are to find the height of the tree after 6 weeks

a6 = 700 + (6 - 1) 2.3

a6 = 700 + (5)2.3

a6 = 700 + 11.5

a6 = 711.5cm.

We can convert to meters if we like

= 100 cm = 1 m

711.5 cm =

711.5cm/100

= 7.115m

The height of the tree after 6 weeks is 711.5 cm or 7.11 meters

The equation which has no solutions is 5 x + 5 y = 10 and 2 x + 2 y = 4

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

As,

5 x + 5 y = 10 and 2 x + 2 y = 4

a1= 5, b1= 5, c1 = -10

a2= 2, b2= 2, c2 = -4

Now, a1/ a2 = 5/2

b1/ b2= 5/2

c1/ c2= -10/-4 = 5/2

Hence, a1/a2= b1/b2= c1/c2

So, the pair of equation has no solution.

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Answer:

4 cups of sugar

Step-by-step explanation:

To solve this, you need to multiply 2 2/3 by 1 1/2. To do this, you need to change both into improper fractions:

2 2/3 --> 8/3

1 1/2 --> 3/2

Now, you need to multiply them together:

8/3 x 3/2

= 24/6

= 8/2

= 4 cups of sugar

Answer:

-65 feet

Step-by-step explanation:

Answer: -65

Step-by-step explanation:

lets say 0 is the sea level and the swimmer goes down 65 it would be going to the left of zero which would be negatives so you would be going down -65 feet

Answer:

The slope is 2 or 2/1

Step-by-step explanation:

Answer: - 5/3

find the rise (-5) and the run (-3) and divide them .

Answer:

I believe it is B!

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1/3 of 36 is 12 then 12 x 2 is equal to 24

Answer:

12

Step-by-step explanation:

if there's 3 grams in 1/4 cup then add it until there's a whole cup. (I don't know about the unit rate part sorry

x = 26.75 min

26 minutes, would = 3.51. if you add .12 to that it is 3.63.

so the most that she could talk would be 26 minutes.

We want to find how much Janice spends on her last purchase.

The correct option here is C, she must have spent $50 on the last store.

Let's see how to get the correct answer:

We know that the average is $30 per store, and we know that she goes to 5 stores, then the total amount spent in the 5 stores is:

5*$30  = $150

Notice that average is just given by the total amount of money she spent divided the number of stores she visited, this does not mean that she spent $30 in each of these stores.

Now, we also know that in the first 4 stores she spents a total of $100.

We want to know how much does she spend on the last store, this will be given by the difference between the total amount and $100, this is:

$150 - $100 = $50

So she must have spent $50 on the last store, meaning that the correct option is C.

If you want to learn more, you can read:

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Answer:

14cm

Step-by-step explanation:

Given parameters:

        perimeter of the triangle  = 42cm

        length of side = (3s + 2)cm

Unknown:

Find the length of each side = ?

Solution:

The perimeter of a body is the sum of all its sides.

 In this problem, we have been given an equilateral triangle. For such a triangle, all the sides are equal. So the perimeter is the sum of all the three sides;

     (3s + 2) + (3s + 2) + (3s + 2)  = 42

            9s + 6 = 42

            9s  = 42 - 6

            9s = 36

              s  = 4;

The length of its sides = 3s + 2

                                     = 3(4) + 2

                                     = 12 + 2

                                     = 14cm

Answer:

20

Step-by-step explanation:

40 ÷ 2 = 20

its 20 since BD is an angle that bisects " divdes " angles in half.

The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.

Given :

ABC = 40 and BD is the angle bisector of angle ABC.

The following steps can be used in order to determine the angle ABD:

Step 1 - According to the given data, BD is the angle bisector of angle ABC.

Step 2 - An angle bisector bisects the angle into two equal parts.

Step 3 - So, the measure of angle ABD is calculated as:

[tex]\angle ABD = \dfrac{\angle ABC}{2}\\\\ \angle ABD = \dfrac{40}{2}\\\\ \angle ABD = 20^\circ[/tex]

So, the measure of angle ABD is 20 degrees.

For more information, refer to the link given below:

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Step-by-step explanation:

B) 30%, if you put the two pieces together it would be 30% of the rectangle that is shaded

The percent of the area of rectangle PQRS is shaded is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.

Given:

The shape is a rectangle and it is cut into half using diagonal.

again cut by another diagonal which 1/4 section.

Now again it is one more time cutted but this time make section of 1/8

As, there are two shaded section

=1/8+1/8

=2/8

=1/4

=1/4 *100

=25%

Hence,  percent of the area of rectangle PQRS is shaded is 25%.

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Answer:

(11,51,101)

Step-by-step explanation:

f(5)=11

f(25)=51

f(50)=101