Angel took a 2-year lease on a new car and after 4 months of driving, he’d put 5,600 miles on it. The lease allows 10,000 miles per year. If his driving habits stay consistent, will he stay under the allotted mileage for years? By how much?

Answer:

In bold below.

Step-by-step explanation:

The slope = coefficient of x = 2.

The y-intercept is when x = 0 and x-intercept is when y = 0.

y = 2(0) + 1 = 1  so the y -intercept is (0, 1).

2x + 1 = 0

x = -0.5 so the x-intercept is (-0.5, 0)

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▹ Answer

20 km/h

▹ Step-by-Step Explanation

Amount of km - 80 km

Hours - 4 hours

km/h = 80/4

= 20 km/h

Hope this helps!

CloutAnswers ❁

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Answer:

20 km/hr

Step-by-step explanation:

since she went 4 hours if we divide 80 km by 4 we should get our answer. 80/4 is 20 so the bird when 20 km/hr

Answer:

$21

Step-by-step explanation:

Provided total value = $50

$50 = 5,000 cents.

We are provided,

10 cent coins value = 30%  of total value

= 0.3 [tex]\times[/tex] 5,000 cents = 1,500 cents

Value of 20 cents coin = 28% of total value

= 0.28 [tex]\times[/tex] 5,000 cents = 1,400 cents

Therefore, remaining value of cents = Total value of 50 cents coins

5,000 cents - value of 10-cent coins - value of 20-cent coins = total value of 50 cents coins

5,000 - 1,500 - 1,400 = 2,100 cents = $21

Which means number of 50 cents coin = [tex]\frac{2,100}{50} = 42\ coins[/tex]

Alternatively,

To calculate value of 50 cent coins

Total value = 100%

Value in 10-cent coins + 20-cent coins = 30% + 28% = 58%

Value in 50-cent coins = 100 - 58 = 42%

= $50 [tex]\times[/tex] 42% = $21

Answer:

-11

I went to Starbucks today knowing that i had -3 dollars in my bank account, but i wanted this Frappe so bad and it was 8 dollars. Long story short i ended up leaving with -11 dollars in my account.

Answer:

0.1069062

Step-by-step explanation:

divide the mass value by 32000

hope this helps.

Answer:

3.4

Step-by-step explanation:

Answer:

-6 5/8 or -6.625

Step-by-step explanation:

31/8 - 84/8 = -53/8

-53/8 = -6 5/8 or -6.625

Answer:

A

Step-by-step explanation:a

Answers:

Each yes/no answer refers to the question "is this a function?"

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

Explanation:

The last equation is not a function because of the even exponent over the y term. If you apply the fourth root to both sides, you'll end up with y = |x| and y = -|x| as the two possibilities. For any nonzero x, there are multiple y outputs.

The first three equations are functions because we don't have the same issue as the last equation. All exponents for the y terms are odd. Something like y without an exponent really means y^1.

The spreadsheet is missing, so i have attached it.

Answer:

Option A - $295

Step-by-step explanation:

From the spreadsheet, net pay = $2300 and interest earned on savings = $20

Therefore, her total income = $2300 + $20 = $2320

Now,from the spreadsheet, total expenses = 800 + 120 + 90 + 45 + 95 + 80 + 275 + 520 = $2025

Now, net cash flow = Total income - Total expenses

Net cash flow = $2320 - $2025

Net cash flow = $295

Answer:

a. 295

Step-by-step explanation:

Steps to solve:

-4z + 4 + 12z = 3z + 4 + 5z

~Combine like terms

8z + 4 = 8z + 4

~Subtract 4 to both sides

8z = 8z

~Divide 8 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

This is an identity since every value can be a solution to the equation.

Best of Luck!

Answer:

The planes that contain the line AD are

1) Plane represented by bounded area ABCD

2) Plane represented by bounded area ADHE

Step-by-step explanation:

The line AD is located at the boundary of the planes ABCD and ADHE and as such is contained in the two planes.

A plane is defined as a flat surface in two dimensional space that has a linear vector boundary on alternate sides

A plane can be specified by a letter written in capitals, or by use of the letters at three non collinear points on the plane, such as plane P or plane ABC.

Answer:

[tex]a > \frac{22}{21}[/tex]

Step-by-step explanation:

Given the inequality function [tex]\frac{14a}{11}>\frac{4}{3}[/tex], to write the inequality in interval notation, we need to first get the solution to the inequality as shown;

[tex]\frac{14a}{11}>\frac{4}{3}\\cross\ multiply\\14a \times 3 > 11 \times 4\\42a >44\\divide \ both \ sides \ by \ 42\\\frac{42a}{42} > \frac{44}{42}\\ a>\frac{22}{21}[/tex]

Hence the expression in interval notation is [tex]a > \frac{22}{21}[/tex]

Answer:4mph

5mph

Slower

Step-by-step explanation:

The average rate of change for the runner is 0.667 miles per hour².

To calculate the average rate of change, we follow the following formula:

[tex]a = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex],

where a is the average rate of change, v₂ is the final speed, v₁ is the initial speed, t₂ is the time for v₂, and t₁ is the time for v₁.

In the question, we are asked to find the runner's average rate of change between the hours 0.5 and 2 with speeds of 1.5 mph and 2.5 mph.

So we take, the initial speed v₁ = 1.5 mph, the final speed v₂ = 2.5 mph, the time for v₁, t₁ = 0.5 hours, and the time for v₂, t₂ = 2 hours.

Thus, we can calculate the average rate of change a, using the formula:

[tex]a = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex],

or, a = (2.5 -1.5)/(2 - 0.5) = 1/1.5 = 0.667 miles per hour².

Therefore, the average rate of change for the runner is 0.667 miles per hour².

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Answer:

7-3j

Step-by-step explanation:

Answer:

7 - 3j

Step-by-step explanation:

5(2-j) + (2j-3)

Open the brackets. Take note of the signs.

10-5j + 2j-3

Rearrange.

10 - 3 -5 j + 2j

= 7 - 3j

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Answer:

Step-by-step explanation:

[tex]2(3x+6)\div(10m)\\\\x =8\\m =3\\\\2(3(8)+6)\div(10(3))\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(8\right)+6\right)\::\quad 30\\=2\times\:30\div \left(10\left(3\right)\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(10\left(3\right)\right)\::\quad 30\\=2\times\:30\div \:30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times\:30\div \:30\:\\:\quad 2[/tex]

Answer:

2

Step-by-step explanation:

plug it in

2(3(8)+6)/(10(3))

pemdas

2(24+6)/(30)

2(30)/(30)

60/30

2

Answer:

angle AEF is 60 degrees

Step-by-step explanation:

120 - 90 = 30

90 - 30 = 60

Answer:

B.28

Step-by-step explanation:

Answer:

The two numbers are 35 and 73.

Step-by-step explanation:

We can solve this problem by creating two simultaneous equations using the information given.

Let number 1 = x

Let number 2 = y

x = y - 38 -> ( 1 )

x + y = 108 -> ( 2 )

We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier and shorter option.

Substitute ( 1 ) into ( 2 ):

x + y = 108 -> ( 2 )

( y - 38 ) + y = 108

2y - 38 = 108

2y = 146

y = 146 / 2

y = 73 -> ( 3 )

Substitute ( 3 ) into ( 1 ):

x = y - 38 -> ( 1 )

x = ( 73 ) - 38

x = 35

Therefore:

x = 35 , y = 73

Steps to solve:

d = abc for a

~Divide both sides by "bc"

d/bc = abc/bc

~Simplify

d/bc = a

Best of Luck!

Answer:

22 units

Step-by-step explanation:

Add up all the units.

Answer:

Yes.

Step-by-step explanation:

Each side of a square must be congruent and parallel to its opposite side.

Answer:

250 meters/min = 15 km/hr

Step-by-step explanation:

The approximate number to divide from is 16.667. Divide the speed value by 16.667

Answer:

1500m

Step-by-step explanation:

If you ride 150 m every one min then you can ride 150 times 10 in 10 min.

150 times 10 = 1500m

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Explanation:

If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.

Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.

The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.

A function assigns the values. The only function that represents y as a function of x is D.

A function assigns the value of each element of one set to the other specific element of another set.

For any relation to represent a function in terms of x that represents the value of y, the order of y in the function should be equal to 1, therefore, the power of y should be 1, also, the y variable should be alone(Isolated) on one side of the equal sign.

A.) x = y⁴

It represents x in terms of y, therefore, No.

B.) 6x² + y = 4

It represents constant in terms of x and y, therefore, No.

C.) 6x + y² = -1

It represents constant in terms of x and y, therefore, No.

D.) [tex]y = \sqrt{1-x^2}[/tex]

The given function represents y in terms of x, therefore, it is a function that represents y as a function of x.

E.)  -2xy = 1

It represents constant in terms of x and y, therefore, No.

Hence, the only function that represents y as a function of x is D.\

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Answer:

1

Step-by-step explanation:

The pattern is always divide by 4. 256 divided by 4 equals 64, 64 divided by 4 equals 16, and 16 divided by 4. Continuing with the pattern, 4 divided by 4 equals 1.

Answer:

36

Step-by-step explanation:

PQ + QR = PR

substituting the values we have:

8 + 7x = 9x

8 + 7x - 7x = 9x - 7x

8 = 2x

8/2 = 2x/2

4 = x

Now, for the value of PR:

9 x 4

36

Answer:

x=[tex]\frac{13}{6}[/tex]

Step-by-step explanation:

[tex]6( x - 1) - 12 = - 5 \\ ⟹ 6x - 6 - 12 = - 5 \\ ⟹ 6x - 18 = - 5 \\ ⟹ 6x = - 5 + 18 \\ ⟹x = \frac{13}{6}[/tex]

Hi there! :)

Answer:

[tex]\huge\boxed{x = \frac{13}{6}}[/tex]

6(x - 1) - 12 = -5

Begin by adding 12 to both sides:

6(x - 1) = -5 + 12

6(x - 1) = 7

Divide both sides by 6:

6(x - 1)/ 6 = 7 / 6

x - 1 = 7/6

Add 1 to both sides:

x = 7/6 + 6/6

x = 13/6.

Answer:

C = $5 + $1.5(w)

Step-by-step explanation:

Given the following information :

Total shipping cost :

One time fee + fee based on package weight

Given the table :

Weight in pounds - - - - Total shipping cost($)

___4__________________11

___8__________________17

___12_________________23

___16_________________29

We can deduce from the table

For a package that weighs (w) 4 pounds

Total shipping cost = $11

Let one time fee = f

Fee based on weight = r

f + 4(r) = 11 - - - - - (1)

For a package that weighs (w) 8 pounds

Total shipping cost = $17

One time fee = f

Fee based on weight = r

f + 8r = 17 - - - - - (2)

From (1)

f = 11 - 4r - - - (3)

Substitute f = 11 - 4r in (2)

11 - 4r + 8r = 17

-4r + 8r = 17 - 11

4r = 6

r = 6/4

r = 1.5

Put r = 1.5 in (3)

f = 11 - 4(1.5)

f = 11 - 6

f = 5

Hence one time fee = $5

Charge based on weight = $1.5

Hence, Total shipping cost 'C' for a package weighing 'w' will be :

C = $5 + $1.5(w)