I need help with this assignment.

The average speed for the given situation is 56 mph.

Given that, Abby 3 hours to drive from Ashdown to Bridgeton at an average speed of 60 mph.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Now, distance = Speed × Time

= 60 × 3

= 180 miles

She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph.

Now, Time = 30/40

= 0.75 hours

Total time =3+0.75=3.75 and total distance =180+30=210

Then average speed = 210/3.75

= 56 mph

Therefore, the average speed for the given situation is 56 mph.

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The probability that Pat’s second pick will be a blue marble is the fracion 5/3 considering choosing marbles without replacement.

Probability of an event without replacement simply means once an item is drawn, then we do not replace it back to the sample space before drawing a second item.

For the fact that a red marble was first drawn without replacement with the probability of 55/100, given that there are 55 red marbles and a total of 100 marbles in the Urn.

Hence, there will be 99 samples left for the second draw to be made.

The probability that the second pick will be a blue marble = 15/99.

Therefore, the probability that the second pick is a blue marble after the first pick without replacement is the fraction 5/33 reduced to its lowest term from 15/99.

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Answer:

Step-by-step explanation:

Answer:

224 in²

Step-by-step explanation:

The formula for the area of a triangle is 0.5bh, where b is the base and h is the height. Here the base is '4t' and the height is '7t'. Subbing in 4 for t, we get

Base = 4(4) = 16

Height = 7(4) = 28

Subbing this values into our formula for the area of a triangle, and we have:

Area = 0.5(16)(28) = 224 in²

The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

Given that,

The equation is 3x-8y=39.

We have to find the x- intercept and y- intercept of the equation.

We know that,

x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes.

To find the x- intercept of the equation.

We have to take y as 0.

3x-8(0)=39

3x=39

x=39/3

x=13

To find the y- intercept of the equation.

We have to take x as 0.

3(0)-8y=39

-8y=39

x=-39/8

Therefore, The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

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Answer:

C

Step-by-step explanation:

Even though quotient means divide I instead used the minus symbol since they both mean something negative or taking away. Then, the 7 goes before everything adding onto what was left from the second part.

Answer:

Given

Addition property of equality

Division property of equality

Step-by-step explanation:

The first line is given.

Next 2x was added to each side.  The addition property of equality says that for an equation to stay in balance, it you add something to one side of the equation, you have to add that same thing to the other side of the equation.

The same is true for the division property.

The missing values of the ordered pairs using the given equation are:

x = -1; y = 8

The table is:

x  | y  

-3   8

-1,   2

To find the missing values of an ordered pair that satisfies a given equation, plug n the given value of one of the variables into the equation and solve to find the value of the other variable.

The equation given is y = -3x - 1

Find the missing value of the ordered pair (-3, y) by plugging in x = -3 into the equation given:

y = -3(-3) - 1

y = 8

Find the missing value of the ordered pair (x, 2) by plugging in y = 2 into the equation given:

2 = -3x - 1

2 + 1 = -3x - 1 + 1

3 = -3x

x = 3/-3

x = -1

The ordered pairs are: (-3, 8) and (-1, 2).

Therefore, we would have:

x  | y  

-3   8

-1,   2

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Two plants will never be of the same height.

Given, the height of an experimental plant after x days can be

represented by the formula 3(4x + 2).

The height of a second plant can be represented by the formula 6(2x + 2).

We have to state that will the two plants ever be of the same height,

Let assume that, the height of two plants be same,

So, 3(4x + 2) = 6(2x + 12)

On simplifying, we get

12x + 6 = 12x + 72

On subtracting 12x from both the sides, we get

12x + 6 - 12x = 12x + 72 - 12x

6 ≠ 72

It is an absurd condition, so we do not have any solution for x.

So, the two plants will never be of the same height.

Hence, two plants will never be of the same height.

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Answer:

9 units

Step-by-step explanation:

We see that on the x-axis, everything is equal.

On the y-axis, there are -2 and 7.

So we are finding the distance between -2 and 7

|-2|+|7|=9

So the distance between the points is 9 units.

The radical expression [tex]\sqrt[5]{x^3}^8.x^4[/tex] simplifies to [tex]x^\frac{44}{5}[/tex].

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, [tex]\sqrt[5]{x^3}^8.x^4[/tex].

= [tex]x^3(^\frac{8}{5}).x^4[/tex].

= [tex]x^\frac{24}{5}.x^4[/tex].

= [tex]x^\frac{24}{5}^{+4}[/tex].

= [tex]x^\frac{24 + 20}{5}[/tex].

= [tex]x^\frac{44}{5}[/tex].

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The number of miles (m) between the two cities as represented in the equation given 2[(4m * 3.5) / 400] = 171.5 is 2450 miles

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.

In the equation given;

2[(4m * 3.5) / 400] = 171.5

Using changing the subject of formula to find the miles travelled;

2[(4m * 3.5) / 400] = 171.5

28m / 400 = 171.5

28m = 400 * 171.5

28m = 68600

m = 68600 / 28

m = 2450

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Answer:

The profit from selling 275 shirts is 3,995

Step-by-step explanation:

P= R-C

P=14x- (1,780+7x)

since we are producing 275 shirts substitute that for x

P=14(275)-1,780+7(275)

P=3850-1780+1925

P=2070+1925

P=3995

Answer:

Step-by-step explanation:

457-235= 222

222-125=97

97÷2= 48.5

≈49 pairs of pants and shoes

The distance from Kano to Lagos is 1200 km

The problem involves addition of fractions

The fraction required are:

let the distance form kano to Lagos be x

it was discovered that a driver has travelled 3/8 = 3x/8

another driver had travelled 3/10 of that distance = 3x/10

The drivers are still 390 km apart

total distance, x

x = 390 + 3x/8 + 3x/10

x - 3x/8 - 3x/10 = 390

0.325x = 390

x = 390 / 0.325

x = 1200 km

From the driving distance information 1200 km is the distance from Kano to Lagos

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If Midland is 20 miles from Odessa, and Lubbock is 113 miles from Midland. Then 111.22 miles is Odessa from Lubbock.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

The cities of Midland, Lubbock, and Odessa form a triangle.

The distance between Midland and Odessa is 20 miles.

The distance between Lubock and Odessa is unknown, we need to find this.

This can be find by using Pythagorean theorem

Odessa  from Lubbock=20²+x²

113²=20²+x²

12769=400+x²

12369=x²

x=111.22

Hence, 111.22 miles, Odessa could possibly be from Lubbock.

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Step-by-step explanation:

your teacher gave you the solution to the real problem of this question : how many cups are in 1 gallon. 16 cups.

and if you remember that a year has 365 days, then the rest is rant simple and straight forward :

8 cups per day

so

365 × 8 = 2920 cups per year.

2920 cups = 2920/16 = 182.5 gallons

therefore, she drinks 182.5 gallons of water per year.

The total amount of money Sam paid for his food, tip for the waitress and sales tax at the Texas Roadhouse is $54

Amount of tip = 15% × $45

= 0.15 × 45

= $6.75

Amount of sales tax = 5% × $45

= 0.05 × 45

= $2.25

Total amount Sam spent at the Texas Roadhouse = Sam's bill at the Texas Roadhouse + Amount of tip for the waitress + Amount of sales tax

= $45 + $6.75 + $2.25

= $54

In conclusion, the total amount of money Sam paid at the Texas Roadhouse is $54

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Answer:

Most likely 4cm and 5cm

Step-by-step explanation:

Where 5cm=length

And 4cm=width

The linear equation that passes through the two given points is:

y = (-1/4)*x - 2/4

A general linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (-1, -1/4) and (1, -3/4)

Then the slope is:

m = (-3/4 + 1/4)/(1 + 1)

m = (-2/4)/2 = -2/8 = -1/4

the line is:

y = (-1/4)*x + b

To find the value of v we can replace the point  (1, -3/4) so we get:

-3/4 = (-1/4)*1 + b

-3/4 + 1/4 = b

-2/4 = b

The linear equation is:

y = (-1/4)*x - 2/4

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Answer:

The rate of change is -2

Step-by-step explanation:

formula we will use: G(x)= [tex]\frac{f(b)-f(a)}{b-a}[/tex]  [-1,2]

g(x)= [tex]x^3[/tex]-5x

g(-1)=[tex]-1^3[/tex]-5(-1)

g(-1)=-1+5

g(-1)=4

g(2)=[tex]2^3[/tex]-5(2)

g(2)=8-10

g(2)=-2

so g(x)= [tex]\frac{(-2)-(4)}{(2)-(-1)}[/tex]

g(x)= [tex]\frac{-6}{3}[/tex]

g(x)=-2

A possible perimeter for the rectangular table that was built by Irene is 50 inches.

My thinking was gotten by getting the dimensions and then using the perimeter formula to solve it.

From the information given, it should be noted that the area of the rectangle is given as 114 square inches. A dimension that can give this is 19 inches and 6 inches

The perimeter of a rectangle is calculated as:

= 2(Length + Width)

= 2(19 inches + 6 inches)

= 2(25 inches)

= 2 × 25

= 50 inches

The perimeter is 50 inches.

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Answer:   6

Step-by-step explanation:   You'll need to substitute x for 12 in the expression, which will be 12 - 2 + 2(4) - 12, and using BODMAS/BIDMAS/PEDMAS (or whatever you use), you should get 6 if you did it correctly.

Answer:

18

Step-by-step explanation:

using bodmas rule by working out brackets first

Answer:$190

Step-by-step explanation:

for an expression is $80+$65+$50=190 per dog to adopt a from the animal shelter.

Answer:1341

Step-by-step explanation:

1342123

For the given polynomial the degree is 1, the leading coefficient is 1, and the constant term is 5.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The given polynomial is x+5.

(1) The degree is the highest power of the polynomial.

Degree = 1

(2) The leading coefficient is 1.

(3) The constant term is 5

Therefore, the given polynomial degree is 1, the leading coefficient is 1, and the constant term is 5.

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