Jorie leaves work 30 minutes late. She decides to make up time by taking the toll road instead of side streets. She can travel four times faster by taking the toll road. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the drive was expected to take.

y equals one fourth times x minus thirty
y = 4x − 30
y equals one fourth times x plus thirty
y = 4x + 30

There are 544,320 7-digit numbers that are all unique and arranged in increasing order.

We apply the Fundamental Counting Principle to this issue. You are aware that a number has seven digits. According to this theory, you must multiply the potential integers for each digit. There are 9 potential numbers if the initial number can't be zero. Consequently, the first digit's value is 9. Any number, but less than 1, could be used for the second digit since it was already used in the first. Thus, 10 – 1 would equal 9. The value in the third digit must be less than 1 and in the second digit. In this case, 9 – 1 Equals 8. And the list goes on.

Therefore, the number of seven-digit numbers in which all digits are different and in increasing order is:

9 × 9 × 8 × 7 × 6 × 5 × 4 = 544,320

Hence, there are 544,320 7-digit numbers with all different digits in increasing order.

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Abbie takes 110 minutes t  complete painting work alone.

Let x= time takes Abbie to paint the room

1 minute =1/x part the of room painted paint by Abbie paint the room

2x  minute times takes both to paint the room

so, in 1 minute 1/2x part of the  room  paint by Abbie and Beth

Abbie paints three times  faster than  Cathie

Cathie takes 3x minutes take time to paint the room.

in 1 minute 1/3x part of room  paint by Cathie

they take 60 minute  to paint a room all three working together

in 1minute 1/x+ 1/2x+ 1/3x parts

in 60 minute = ( 1/x+1/2x+ 1/3x) 60 =1 room

                     = [tex]\frac{6x+3x+2x}{6x^{2} } 60[/tex] = 1

                     =   [tex]\frac{11x}{6x^{2} } 60[/tex] = 1

                 x = 110 minute

Abbie take 110 minutes to  complete painting work alone.

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Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

-4(x + 2) = 4(2 - 2x)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -24 does equal -24.

∴ x = 4 is the solution to the equation.

Answer:

plus 4 every time

Step-by-step explanation:

1+4=5+4=9+4=13+4=17

The pound that he ad will be 19/30 pounds.

From the information, it was stated that Sean bought 4/5 of a pound of cherries and then he ate 1/3 of a pound of them.

He also found out that he had 1/6 of a pound of cherries in his cupboard.

Therefore, the total will be:

= (4/5 - 1/3) + 1/6

= 24/30 - 10/30 + 5/30

= 19/30

Therefore, the pound that he ad will be 19/30 pounds.

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Answer:

we would add [tex]\:\left(\frac{1}{2}\right)^2\:[/tex] or 1/4 to make the expression a perfect square.

Step-by-step explanation:

Given the expression

[tex]x^2+x[/tex]

[tex]\mathrm{Write}\:x^2+x\:\mathrm{in\:the\:form:\:\:}x^2+2ax+a^2[/tex]

[tex]2a=1[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\frac{1}{2}[/tex]

[tex]a=\frac{1}{2}[/tex]

as

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

[tex]\mathrm{Add\:}\:\left(\frac{1}{2}\right)^2\:[/tex]

[tex]x^2+1x+\left(\frac{1}{2}\right)^2=\left(x+\frac{1}{2}\right)^2[/tex]

Thus, we would add [tex]\:\left(\frac{1}{2}\right)^2\:[/tex] or 1/4 to make the expression a perfect square.

Answer:

Step-by-step explanation:

Alexis is X years old

Josiah is X + 5 years old

in 7 years:

Alexis is x + 7 years old

Josiah is x + 5 + 7 => x + 12 years old

Sum of their ages is 85 :

x + 7 + x + 12 = 85

2x + 19 = 85

2x = 85 - 19 = 66

x = 66/2 = 33 => Alexis age

Josiah is x + 5 = 33 + 5 = 38 years old

Answer:

189

Step-by-step explanation:

bc that's just what I think

Answer:

(2)(18)x

=36x

Step-by-step explanation:

sorry if its wrong i need points and i didnt quit know what this was but sorry if this was wrong and sorry if i didnt help

Answer:

D

Step-by-step explanation:

45+62=107

180-107=73

Answer:

D)   k=73

Step-by-step explanation:

easy triangles add up to 180

180-62-45=73

Brainliest please

Answer:

A = h²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 2h , then

A = [tex]\frac{1}{2}[/tex] × 2h × h = h × h = h²

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: 50 feet

Step-by-step explanation: it went 40 feet to get to the surface of the water then it went and extra 10 feet above water so 40+10=50

Answer:

The coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)

Step-by-step explanation:

Given

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]=\left(\frac{6-5}{2},\:\frac{-2-1}{2}\right)[/tex]

[tex]=\left(\frac{1}{2},\:-\frac{3}{2}\right)[/tex]

Thus, the coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)

The meaning of s in the question is that it means the Annual Sales for a particular electronic item is 53.4millions for the year 2008

The Annual sales is the total amount of money that a company makes during the period of 12 months for the sale of a product.

In the question it is mentioned that the value of s is 53.4 for the year 2008.

and s denotes the annual sales for electronic item in that particular year .

S in the statement means Annual Sales for a particular electronic item in the year 2008 was of 53.4 millions.

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Answer:

Step-by-step explanation:

5x - 40 = 20

5x = 20 + 40

5x = 60

x = 60/5

x = 12

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5(x - 8) = 20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 12 is a solution to the equation.

Answer:

7

Step-by-step explanation:

You just know when u got it

Answer:

Is 18.6 feet

Step-by-step explanation:

Answer:

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Step-by-step explanation:

Answer:They are corresponding angles

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

A. 94.37 seconds

B. 0.48 seconds

Step-by-step explanation:

Total distance = 50 meters

First trial = 32.15 seconds

Second trial = 31.67 seconds

Third trial = 30.55 seconds

A. What is Todd's combined time for all three trials

Todd's combined time for the three trials = First trial + Second trial + Third trial

= 32.15 seconds + 31.67 seconds + 30.55 seconds

= 94.37 seconds

B. How much faster was Todd's second trial than his first trial?

Second trial = 31.67 seconds

First trial = 32.15 seconds

Time taken for first trial - Time taken for second trial -

= 32.15 seconds - 31.67 seconds

= 0.48 seconds

Todd's second trial was 0.48 seconds faster than his first trial

Answer:

$68 to hire and 28.25 per hour to hire both

Step-by-step explanation:

Answer:

For me when I am finding the slope I actually use the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex].

Step-by-step explanation:

Step 1 you have to find the x and y

Step 2: Use the slope formula

Step 3: Subtract y2 and y1 to get your answer

Step 4: Subtract x2 and x1 to get your answer

Step 4: If your answer is easy to divide  simplify it, if not leave it as it is

That's all I know

I hope this helps :)

Answer:

Choose two sets of data (x and y values).  Calculate the difference between the two y values.  Calculate the difference between the corresponding two x values.  Slope is the difference in y values / difference in x values.

Hope this Helps!