You and a friend are reading the same book over the summer. You have already read 35
pages of the book, and you read 15 pages each day. Your friend has only read 15 pages
so far but reads 20 pages each day. After how many days you will both be on the same
page? Use a system of equations to solve.

Answer:

1)

Step-by-step explanation:

In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.

Answer: 1)

The graph option 1) is the correct answer.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x = 2

We see x intercept is 2 and there is no y intercept,

We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.

In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.

Hence, The graph option 1) is the correct answer.

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Answer:

[tex]x = \frac{\sqrt{6}}{3}[/tex]

Step-by-step explanation:

Step 1:  Using tan to get the value of the side x

[tex]tan(30) = \frac{x}{\sqrt{2}}[/tex]

[tex]\sqrt{2}*tan(30) = x[/tex]

[tex]\frac{\sqrt{6}}{3}=x[/tex]

Answer: [tex]x = \frac{\sqrt{6}}{3}[/tex]

Answer:

4

Step-by-step explanation:

Greatest common factor (GCF) of 36 and 56 is 4.

Step-1: Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 2^2 × 3^2

Step-2: Prime Factorization of 56

Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:

56 = 2^3 × 7^1

Step-3: Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Step-4: Factors of 56

List of positive integer factors of 56 that divides 36 without a remainder.

1, 2, 4, 7, 8, 14, 28

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 56 is 4.

The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The two numbers are: 36 and 56

As we know GCF means highest common factor, the factor which presents the in both numbers:

The GCF(36, 56) can be found using the Division Lemma:

56 = 36x1 + 20

36 = 20x1 + 16

20 = 16x1 + 4

16 = 4x4 + 0

The value of GCF(36, 56) :

GCF(36, 56)  = 4

Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

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Answer:

D or the 4th answer choice.

Step-by-step explanation:

Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.

Given:

[tex]b(1)=-12[/tex]

[tex]b(n)=b(n-1)\cdot 4[/tex]

To find:

The third term of the sequence.

Solution:

We have,

[tex]b(n)=b(n-1)\cdot 4[/tex]

For n=2, we get

[tex]b(2)=b(2-1)\cdot 4[/tex]

[tex]b(2)=b(1)\cdot 4[/tex]

[tex]b(2)=-12\cdot 4[/tex]              [tex][\because b(1)=-12][/tex]

[tex]b(2)=-48[/tex]

For n=3, we get

[tex]b(3)=b(3-1)\cdot 4[/tex]

[tex]b(3)=b(2)\cdot 4[/tex]

[tex]b(3)=-48\cdot 4[/tex]              [tex][\because b(2)=-48][/tex]

[tex]b(3)=-192[/tex]

Therefore, the 3rd term of the sequence is -192.

Answer:

The maximum revenue of $225,000 occurs when the laptops are priced at $1,250.

Step-by-step explanation:

The vertex of the parabola shows that; maximum revenue of $225,000 occurs when the laptops are priced at $1,250.

We are given a graph titled projected laptop revenue based on price with price increase per laptop on the x-axis and total revenue from laptop sales on the y-axis.

Now, the vertex of the parabola is the peak of the parabola and from the coordinates on the graph, we can conclude that maximum revenue of $225,000 occurs when the laptops are priced at $1,250.

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Answer:

b

Step-by-step explanation:

5 faces 6 vertices goodluck

Answer:

second answer

Step-by-step explanation:

Answer:

$2720

15%= 480

3200-480=

$2720

9514 1404 393

Answer:

  (b)  (1, 1/6)

Step-by-step explanation:

The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).

That point is not specifically shown on the graph. It would be (1, 1/6).

Answer:

d = 11 units if rounded to nearest whole number

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (-1, 1) and (4, 11)

d=√((4-(-1))²+(11-1)²)

d=√((4+1))²+(10))²)

d=√((5)²+ 100)

d = √125

d = 11.18  

d = 11 units if rounded to nearest whole number

Answer:

A. you won't have enough

   1/8 x 6 = 6/8 of a teaspoon

   you have 2/3 teaspoon of black pepper set it equal and get a common denominator

6/8 = 2/3 --------------->  18/24 = 16/24 so you dont have enough

Answer:

5

Step-by-step explanation:

In the case when we multiplied 0.014 by 100,000 so it comes

= 0.014 × 100,000

= 1,400

Since The value 0.014 were times by 5 zeros.

Therefore the decimal point would move 5 places to the right

Answer:

-5 + 3 = -2

Step-by-step explanation:

I don't really understand what you're trying to ask here...

Answer:

2.07

Step-by-step explanation:

I DID IT ON A CALCULATOR

The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,

[tex]\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres[/tex]

The area that is left to mow = Total area - Area already mowed by Brian

                                              = 7.84 - 5.771

                                              = 2.069 acres ≈ 2.07 acres

Hence, the area that is needed to be mowed by Brian is 2.07 acres.

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Answer:

x<5

Step-by-step explanation:

3x < 15

get x by itself, divide by 3 on both sides

x<5

hope this helps :)

Answer:

x<5

Step-by-step explanation:

3x<15

Divide both sides by 3.

3x/3 < 15/3

x<5

Answer:

Is there a picture?

Step-by-step explanation:

Ok so you have 2 pies.

You can cut into quarters which is 4 slices in 1 pie.

Than you can do 4 slices x 2 pies which means you have 8

Answer:

$60.00 * 1.075 * .6 + 5.99 = $44.69

when you have multiple fees and discounts and taxes and whatever else, you should follow the order of all operations.  multiplication and division before addition and subtraction, and so on.  

Step-by-step explanation:

For discount and sales tax you multiply, and for shipping you just add the fee.  We will save shipping for last since it doesn't effect the discount or tax.  Meanwhile you could apply the discount and tax in any order.

To apply a discount you take the price and multiply by 1 minus the percent in decimal form.  decimal form of a percent is basically the number divided by 100.  so 40% = .4 then 1 - .4 = .6

to apply a ttax you multiply 1 plus the percent in decimal form.  tax is 7.5% so in decimal form that's .075 then 1 plus the tax is 1.075

so now you multiply 60 * .6 * 1.075 and also remember 60 * .6 * 1.075 = 60 *  1.075 * .6 but the answer is $38.70

Now add the shipping, so 38.70 + 5..99 = $44.69

Answer:

12.3

Step-by-step explanation:

A^2 + B^2 = C^2

11^2 + 4.5^2 = C^2

132 + 20.25 = C^2

152.25 = C^2

Square root of 152.25 = 12.3

Answer:

3x+9+4x+×

8x+9

Step-by-step explanation:

3x+9+4x+x

( ) to isolate the 9

3x (9) +4x+x

3+4+1=8 then slap on the X which equals to 8×+9

Answer:

46.6°

Step-by-step explanation:

A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground

We solve the above question using Trigonometric function of Cosine.

tan x = Opposite/Adjacent

x = The angle

Hypotenuse = Slide covers = 70 inches

Adjacent = 74 inches

tan x = 74/70

x = arc tan (74/70)

x = 46.591140271°

Approximately = 46.6°

Answer:

120°

Step-by-step explanation:

From the question,

The expression for the dot product of two vector is given as

a.b = abcosθ................... Equation 1

make θ the subject of the equation

θ =cos⁻¹ (a.b/ab)......................... Equation 2

Where θ = angle between the vector.

Given: a.b = -27, a = 6, b = 9

Substitute these values into equation 2

θ = cos⁻¹[-27/(6×9)]

θ = cos⁻¹(-27/54)

θ = cos⁻¹(-0.5)

θ = 120°.

Hence the angle between the vector is 120°

Answer:

B

Step-by-step explanation:

Edge 2021

$3.68 for 16 pens

$3.68 per 16 pens

($3.68) / (16 pens)  

$0.23 / (1 pen)

$0.23 / pen

$0.23 per pen

I am not 100% sure sorry

Regular - $0.34

Rounded- $0.30

Explanation:

to find unit rate, set up the problem like a fraction. put the total cost on top, and the number of pens in a pack on bottom. Divided by the number of pens in the pack, which is 16. The answer will be the unit rate.

FOR EXAMPLE:

5.44/16 DIVIDED BY 16.

on the bottom you would get one because 16 divided by 16 is one. And on the top it would be 5.44 divided by 16 which is $0.34.

Answer:

7.5km/h

Step-by-step explanation:

Given data

Distance= 15km

Time = 2 hours

We know that the expression for the speed is

Speed= distance/time

Substitute

Speed= 15/2

Speed= 7.5 km per hour

Hence the speed is 7.5km/h