A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length L (in miles) that is left to lay after d days is given by the following L (d)=189-7d

Answer:24 bags

Step-by-step explanation:

Using the given information, the number of bags created with  random seed packets is 16 complete bags of seeds and a remainder of 5 seed packets

The number of bags created achieved by division. This is a basic mathematical operator used in sharing items

Given information

Seed Type                                 Number of Packets

Aster                                                       95

Daisy                                                       160

Pansy                                                      70

Sunflower                                                 -

Wildflower                                                -

Adding the number of packets available gives

95 + 160 + 70 = 325 seed packets

Sharing them in a bag containing 20 seed packets each we divider the total number of seed packets by 20

= 325 seed packets / 20

= 16.25

Therefore 16 bags will be created and 5 will be remaining

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If  he increased his average speed to 300 m/min and finish the race on minute faster than he had during training. The distance of the race is:  1500 meters.

Slower speed :

rate = 250 m/min

time = x minutes

distance = r×t = 250x meters

Faster speed :

rate = 300 m/min

time = x - 1 minutes

distance = 300x - 300 meters

Equate

distance  = distance

250x = 300x - 300

Collect like terms

50x = 300

Divide both side by 50x

x = 300/50

x = 6 minutes

Hence,

Race distance = 250x where x =6

Race distance = 250×6

Race distance= 1500 meters

Therefore we can conclude that the distance is 1500 meters.

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The correct statement for the rational number is the opposite of the opposite of -12 is -12.

What is rational number?

Rational numbers are those numbers which include natural numbers, whole numbers as well as integers. And it is written in the form of a/b where a and b are integers. Sometimes, the values of the denominator is one then the given number is not fraction.

According to the question, rational number are those numbers which takes positive integers, negative integers as well as zero.

Therefore, on a number line, the opposite of (-12) is 12. And again the opposite of 12 is (-12). Therefore the first statement is correct.

Hence, the correct statement for the rational number is the opposite of the opposite of -12 is -12.

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There are 90 apples in the pile and the row has 4 fewer apples than the row below.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The sum of an arithmetic sequence is the sum of the first n terms of the sequence as

Sₙ = n/2(2a+(n−1)d)

In arithmetic, here a₁ is the first term and sequence d represents the common difference.

Sum of the apples = 25 + 21 + 17 + 14 + 13 + 9

This series is in AP where a = 25 , d = - 4 and n = 6

As per the given data, the sum of apples would be as:

S₆ = 6/2(2×25+(6-1)×-4)

S₆ = 3(50 + 5×-4)

S₆ = 3(50 - 20)

S₆ = 3(30)

S₆ = 90

Therefore, there are 90 apples in the pile.

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Answer:

29

Step-by-step explanation:

Add 28 + 16=44

Subtract 44 - 15=29

The number of posters Jill had on Monday are 18.

The equation is p + 8 - 4 = 22.

Given that:-

Number of posters bought by Jill on Tuesday = 8

Number of posters left on Thursday = 22

We can write,

Number of posters destroyed on Wednesday = (1/2)*8 = 4

Let the number of posters Jill had on Monday be p.

Hence, the equation for the posters is given by:-

Posters on Monday + Posters bought on Tuesday - Posters destroyed on Wednesday = Total posters on Thursday

It can be written as:-

p + 8 - 4 = 22

Solving the equation, we get

p + 4 = 22

p = 22 - 4

p = 18

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The solution of the given inequality for the value of x, x ≥ 1/2.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. Both mathematical phrases, equations, and inequalities are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,<,≥,≤,≠ or indicate that the two expressions in inequality are not always equal.

Given Data

Equation

[tex]\frac{4x -7}{2}[/tex] ≥ 4.5

4x - 7 ≥ 9

4x≥2

x ≥ [tex]\frac{1}{2}[/tex]

For the value of x, x ≥ [tex]\frac{1}{2}[/tex]

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The y-axis it's a vertical line, so is represented by x=0.

Then, a parallel line to this one has to be vertical too, and if it passes thorugh (-2, 3). The equation of the parallel line would be x=-2.

Let me explain with a graph:

Based on the given ordered pairs, yes, the relation is a function.

A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

Based on the ordered pairs shown above, we can reasonably infer and logically deduce that these ordered pairs represent a function because the elements of the set of "x" are uniquely mapped to the elements of the set of "y" as shown below:

x              y__

-2    ↔     4

-1      ↔    7

0     ↔     -6

5     ↔      3

7      ↔     5

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The product of the numbers 758 and 93 is 70494

The numbers are given as

758 x 93

By using the standard algorithm i.e. the partial product method, we have the following equation

758 x 93 = 758 x (90 + 3)

Open the bracket

So, we have the following equation

758 x 93 = 758 x 90 + 758 x 3

Evaluate the products

758 x 93 = 68220 + 2274

Next, we evaluate the sum

758 x 93 = 70494

This means that the final product is 70494

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Answer:

B

Step-by-step explanation:

the surface area is the sum of all individual side areas.

a prism (like a cube that is a special prism) has 6 sides.

top-bottom

left-right

front-back

in our case top and bottom are 5×5 squares.

and the other 4 sides are equal 5×20 rectangles.

so, we get

top-bottom : 2× 5×5 = 50 cm²

left-right : 2× 20×5 = 200 cm²

front-back : 2× 20×5 = 200 cm²

in total we have

200 + 200 + 50 = 450 cm²

The required probability that exactly  6 insects will die is 60%.

Given that,
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. The probability that exactly 6 insects will die is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Total number of sample spaces = 10
Total number of favorable outcomes = 6
probability can be given as,
= 6 / 10
= 0.6 or 60%

Thus, the required probability that exactly  6 insects will die is 60%.

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The answer closest to the number of cubic inches of rain that the barrel can hold is 30,000. Option A

It is important to note that the formula for determining the volume of a cylinder is expressed as;

Volume = πr²h

Where;

Also note that the formula for diameter is given as;

Diameter = 2 radius

Now, substitute the value of diameter

30 = 2r

Make 'r' the subject of formula

r = 15in

Substitute the values into the formula

Volume = 3. 14(15)²(42)

expand the bracket

Volume = 29, 673 cubic inches

Volume = 30, 000 cubic inches

Hence, the value is 30, 000 cubic inches

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Recall that:

Therefore:

Simplifying the above result, we get:

Time taken to cover path around the park if he runs at speed 5miles/hour is 15.96min

What is Speed ?

Speed indicates how quickly something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance x time.

Given that,

Time taken when Bob runs 4miles/hour = 20min

Time taken when Bob runs 5miles/hour = ?

First we have to find the distance of the path around the circle

Distance = speed x time

               = 4 x 20/60

               = 4/3 miles

               = 1.33 miles

Now to calculate the time when he ran 5 miles/hours:

Time = distance / speed

         = 1.33 / 5

         = 0.266hours

0r

         = 0.266 x 60 min

         = 15.96 min

Hence, its will take 15.96min to cover the path around the park

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To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation.

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Answer:

A

Step-by-step explanation:

See that the slope of the parabola changes at x=4

And left of x=4, the slope is positive, meaning the value is increasing (you can also see it directly from the graph)

Right of x=4, the slope is negative, meaning the value of the graph is decreasing. Thus the answer is A

Step-by-step explanation:

red feeder is smarter

Answer:

It would be A because they ordered 81 cans and in each can there 18 ounces so if you multiply it you can get the Total amount.

Answer:

Domain:

{−4,1,6,7}

Range:

{5,3,8,−4}

Step-by-step explanation:

Using the polynomial expression, the non-real solutions are x = (2 + i√26)/3 and  x = (2 - i√26)/3

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The equation of the polynomial expression is given as:

3x^3 + 14x^2 - 14x + 60 = 0

From the question, we have

Real solution = -6

Rewrite the above equation as

x = -6

Add 6 to both sides of the equation

So, we have

x + 6 = 0

The next step is to divide the polynomial equation 3x^3 + 14x^2 - 14x + 60 = 0 by x + 6 = 0

This is represented as

3x^3 + 14x^2 - 14x + 60/x + 6

Using a graphing calculator, we have

3x^3 + 14x^2 - 14x + 60/x + 6 = 3x^2 - 4x + 10

Next, we determine the solution of the quadratic expression 3x^2 - 4x + 10 using a quadratic formula

So, we have

x = (-b ± √(b² - 4ac))/2a

This gives

x = (4 ± √((-4)² - 4 * 3 * 10))/2 * 3

So, we have

x = (4 ± √-104)/6

This gives

x = (4 ± 2√-26)/6

Divide

x = (2 ± √-26)/3

Rewrite as

x = (2 ± i√26)/3

Split

x = (2 + i√26)/3 and  x = (2 - i√26)/3

Hence, the non-real solutions of the polynomial expression are x = (2 + i√26)/3 and  x = (2 - i√26)/3

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A) The intersection of subsets A and B is; A ∩ B = {E3, E7, E9}

B)  The union of subsets A and B is; A ∪ B = {E1, E2, E3, E7, E9}

C) No, the union of A & B is not collectively exhaustive

We are given;

Sample space;

S = [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]

A = [E1, E3, E7, E9]

B = [E2. E3, E, E9]

A) Now, the intersection of subsets A and B would be the values that are common to both sets. This gives us;

A ∩ B = {E3, E7, E9}

B) The union of the subsets A and B with be the combination of all terms in both subsets and this gives us;

A ∪ B = {E1, E2, E3, E7, E9}

C) The union of A & B is not collectively exhaustive because it does not contain all the data available in the sample space.

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The time that it will take for it to fall 48 feet will be ✓3 seconds.

From the information, the distance s that an object falls varies directly with the square of the time, t , of the fall and an object falls 16 feet in one second.

This will be:

s = kt²

s = distance

k = constant

t = time

s = kt²

16 = 1²k

k = 16

Therefore, the time that it will take for it to fall 48 feet will be:

s = kt²

48 = 16t²

t² = 48 / 16

t² = 3

t = ✓3

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Integer represents the total change in the time when you use 5 clues with the condition of using 3 free clues is equal to 10 minutes.

As given in the question,

Number of free clues =3

Total number of clues used to escape from a room = 5clues

Out of these 5 clues, 3 clues are free to use. Hence these 3 clues do not result in any time change.

Hence total time elapsed after usage of 3 clues = 0

Each removes 5 minutes from your remaining time

Integer represents the total change in the time for the usage of 4th and 5th clue = 10 minutes

So overall change in timeline after consuming 5 clues = 10 minutes since each of the 4th and 5th clue results in decrease of 5 minutes each; thus effecting 10 minutes total time change (reduction)

Therefore, integer represents the total change in the time when you use 5 clues with the condition of using 3 free clues is equal to 10 minutes.

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Answer:

C

Step-by-step explanation:

Beacuse part to whole means describing a specific part of a group to the whole group, in our case students wearing green : students

The first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).

Given that,

We have to find the first 3 pairs of opposite integers.

Opposite integers means the "counting numbers" (sometimes known as integers), as well as zero, are integers. The pairs of integers known as opposite integers share the same absolute value, or, to put it another way, are equally spaced from zero. The numbers 10 and -10 are the opposites. The numbers 43 and -43 are the opposites.

So,

Keep in mind that our whole numbers are our integers. The negative and positive iterations of a number together are called a pair of opposite integers.

We get, the first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).

Therefore, the first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).

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Answer:

Four.

Step-by-step explanation:

6 divided by 1.5 is 4. We do that because if it takes 1.5 mins to make a full rotation and it takes 6 minutes to do blank rotations, the answer is 4 bc we either ti.es 1.5 by 4 to get 6, or do 6 divided by 1.5 to get 4. Sorry if that was confusing.

Answer:

g(-1)=2, g(0)=1, g(1)=1/2, g(2)=1/4, g(3)=1/8

Step-by-step explanation:

Answer: 4x + 42 < 50

Step-by-step explanation: $42 is the flat price so that is our constant; $4 per gigabyte is our variable. If she wants to keep her bill UNDER $50 dollars a month you would put a less than symbol.

Answer:

Step-by-step explanation:

i did the work and i got 4x + 42 < 50

The water pressure on the submerged object is given by d = P ÷ 64

Pressure is the force applied perpendicularly to an object's surface in relation to the area across which it is applied (symbol: p or P).  

a. The given formula is is P=64d

or , d = P ÷ 64

b. at a pressure of 672

d = 672  ÷ 64

or, d = 10.5 feet

Hence the pressure is 672 pounds per square foot at a depth of 10.5 feet.

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