0.16
As a repeating fraction

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

[tex]y = \frac{1}{3}x + 4\\[/tex]

Distance formula: d = st

d = 15 * 300

d = 4,500m

So they will travel 4,500m! Have a nice day and mark brainliest if possible :)

[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]

[tex]4500 \: m[/tex]

Step-by-step explanation:

[tex]d = s \times t[/tex]

[tex]s = 15[/tex]

[tex]t = 300[/tex]

[tex]d = 15 \times 300[/tex]

[tex]d = 4500[/tex]

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Answer:

32.99

Step-by-step explanation:

59.98(45%)=26.99

59.98-26.99=32.99

Answer:

$32.99, the discount took off $26.99.

Step-by-step explanation:

Good luck!

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other

Answer:

96-49=47

Step-by-step explanation:

he goes down then up so 47

Answer:

-47

Step-by-step explanation:

-96 + 49

-47

Answer: The answer is 11/12 problems

Step-by-step explanation:

You add 2/12 + 9/12 which gives you a result of 11/12

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

To learn more, visit the link below:

brainly.com/question/12978834

Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

Answer:

The mistake is in the angles

Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour

→ Find his rate per hour by dividing the number of pages by its time

∴ His rate of reading = 42 ÷  [tex]\frac{3}{4}[/tex] = 42 ×  [tex]\frac{4}{3}[/tex] = 56 pages per hour

∵ His rate = 56 pages/hour

∴ m = 56

∵ Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

∵ N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

∵ There is no initial amount of reading

∴ b = 0

∴ N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

Answer:

-10

Step-by-step explanation:

p/2=-5

p=-10

Answer:

-10

Step-by-step explanation:

3/4p-1/4p+3=-2

1/2p+3=-2

1/2p=-5

-10

Answer:-7 I think

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Order of operation:

P-parenthesis

E-exponents

M-multiplication

D-division

A-addition

S-subtraction

Follow this order of operation in order.

If there are parenthesis when solving an equation, do the parenthesis first, if there are exponents and multiplication, do exponents before you do multiplication.

14 + 5(-3) + 1

Multiply 5 * -3

14 + -15 + 1

Add 14 + (-15)

-1 + 1

Add -1 + 1

0

Hope this helps and pls do mark me brainliest:)

Answer:

0

I hope this helps!

Answer:

9 degrees farenehit

Step-by-step explanation:

=====================================================

Explanation:

x = number of hours since 2 AM

y = temperature in degrees Fahrenheit

The starting temperature is -15 degrees, so the y intercept is b = -15.

The temperature goes up 3 degrees each hour, so the slope is m = 3

The equation is y = 3x-15

Now plug in x = 4 since 6 AM is four hours after 2 AM.

We get the following

y = 3x-15

y = 3*4-15

y = 12-15

y = -3

The temperature at 6 AM is -3 degrees Fahrenheit.

-------------------------

Check:

Start at -15 and add 3 for each hour

It might help to make a number line.

2 AM = -15 degrees

3 AM = -12 degrees

4 AM = -9 degrees

5 AM = -6 degrees

6 AM = -3 degrees

This confirms the answer.

Answer:

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.

Answer:

What are the options

Step-by-step explanation:

Answer:

Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph

Step-by-step explanation:

The rule of distance is d = v × t, where

∵ You  wish to average 60 mph on a drive from your home to town

∵ The distance from  your home to town is 78 miles

→ Find the time of your journey using the rule above

∴ 78 = 60 × t

→ Divide both sides by 60

∴ [tex]\frac{78}{60}[/tex] = t

∴ t = [tex]\frac{13}{10}[/tex] hours

∵ You have averaged only 45 mph in the first 39 miles (half way)

∴ v1 = 45 mph

∴ d1 = 39 miles

→ Find the time of this part

∴ 39 = 45 × t1

→ Divide both sides by 45

∴ [tex]\frac{39}{45}[/tex] = t1

∴ t1 = [tex]\frac{13}{15}[/tex] hour

→ Subtract the time of the first part from the time of the journey to

  find the time for the second part

∵ t2 = t - t1

∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]

∴ t2 = [tex]\frac{13}{30}[/tex] hour

→ Now let us find the average speed of the second part of his journey

∵ d2 = 39 miles ⇒ (78 - 39)

∵ t2 = [tex]\frac{13}{30}[/tex] hour

∴ 39 = v2 × [tex]\frac{13}{30}[/tex]

→ Divide both sides by [tex]\frac{13}{30}[/tex]

∴ 39 ÷ [tex]\frac{13}{30}[/tex]  = v2

∴ 90 = v2

∴ v2 = 90 mph

∴ Your average speed must be 90 mph in the remaining distance in

   order to have overall average speed of 60 mph

Answer:

$7.35

Step-by-step explanation:

To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35

Answer: x=247

Step-by-step explanation:

1. Set up the equation

117/45=x/95

2. Cross multiply

117(95) = 11115

45(x)= 45x

3. Set both equal to each other

11115=45x

4. Divide 45 on each side

11115/45 = 45x/45

5. Solve for x

x=247

Hope this helps :)

-Morgan

Answer:

b

Step-by-step explanation:

divide both sides of the equation by 4 to leave s by itself

Answer:

All they are doing is finding what a 20% drop would be. You do that by multiplying the value by .8 which gives you the total accounting for a 20% drop.

Step-by-step explanation:

Answer:

p = 1

Step-by-step explanation:

10p + 5 = 18p - 6/2

(given)

______________

10p + 5 = 18p - 6/2

+6/2 +6/2

(addition property of equality)

_______________________

10p + 8 = 18p

-10p -10p

(subtraction property of equality

_________________________

8 = 8p

÷8 ÷8

(division property of equality)

______________________

1 = p

(symmetric property of equality)

___

p = 1

Answer:

1/2 pound

90 ounces

11

Remaining 2 ounces

Step-by-step explanation:

Beef filet = 5 5/8 pounds

Slices of fillet = 8 ounces

A. how many pounds is each steak. write your answer as a fraction in simplest form.

1 pound = 16 ounces

Pounds of each steak = ounces per steak / ounces per pound

= 8 ounces / 16 ounces

= 1/2 pound

B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over

Beef filet = 5 5/8 pounds

= 45 / 8 pounds

Convert to ounces

= 90 ounces

Number of 8 ounces the chef can create = 90 ounces / 8 ounces

= 11.25

= 11

Remaining 2 ounces of beef

Answer:

slope= 3/4

y intercept= 1/2

Step-by-step explanation:

First find the slope using the formula y2-y1/x2-x1.

the points given: (-6,-4) and (2,2)

so plug in the points into the formula and you'll have:

2-(-4)/2-(-6)=

2+4/2+6=

6/8=

3/4

to find the y intercept, use the formula y-y1=m(x-x1)

y+4=3/4(x+6)

y+4=3/4x+9/2

y=3/4x+1/2

Answer:

x=110

Step-by-step explanation:

-.5x+12.5=-x+18

add x to -x to move it

then add 1x to -.5x to get .5

soo.....

.5x+25.5=18

the subtract 12.5 from both sides to get

.5x=5.5

then divide .5 from both sides to get

x=110

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3x+2=2(x+4)

3x+2=2x+8

3x=2x+6

X=6

Answer:

-4+-6=-10

Step-by-step explanation: