Students put 2 1/4 pounds of trail mix into bags that each weigh 3/8 pounds. They bring 2/3 of the bags of trail mix on a hiking trip. Can you determine how many bags of trail mix are left by just completing one step?

The ordered pair  (3, -1) that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are substitute into the inequality 4x - 3y < 16

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

WE have been given an inequality as 4x - 3y < 16.

Here, we need to get the ordered pair solution to the system of linear equations.

Then Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16

(TRUE)

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair which makes the inequality true.

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Answer:less

Step-by-step explanation:

Answer:

Less Than

Step-by-step explanation:

Solve for yy. y=2x3y=2x3 Rewrite in slope-intercept form.y=23xy=23xUse the slope-intercept form to find the slope and y-intercept.Slope: 2323y-intercept: (0,0)(0,0)Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yyvalues.xy0032xy0032Graph the line using the slope and the y-intercept, or the points.

Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b)Which of the following is not a valid variable name in python?What shape represents the start and end of a flowchart?Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before they

can be usedAn integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before th

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

Answer:

No solution

Step-by-step explanation:

An absolute value expression being multiplied by a negative number will never have a positive y-value output like 24. You can see this when the equation is graphed.

The nth term of the sequence is Tn = 3888^n - 1

A geometric sequence can be defined as a sequence in which each term is determined by multiplying the preceding term in the sequence by the same value.

The formula for the nth term of a geometric sequence is expressed as;

Tn = ar^n - 1

Where;

From the given sequence, we have that;

a = 648

r = 6

Substitute into the formula

Tn = 648 × 6^n - 1

Tn = 3888^n - 1

Thus, the nth term of the sequence is Tn = 3888^n - 1

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The vertical distance of the jump is 4.8 feet.

We know that the equation that relates the vertical distance of the jump and the time is:

t = √d/2

In this case, we know that the time is t = 1.09 seconds, replacing that in the equation we get:

1.09 = √d/2

Now we can solve that equation for d.

1.09*2 =  √d

Now we apply an exponent of 2 in both sides to remove the square root:

2.18^2 = d = 4.8 ft

The vertical distance of the jump is 4.8 feet.

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Answer: 1: $27.92

Step-by-step explanation: Multiply the amount of goodie bags (8) by how much they cost individually ($3.49) and you should come out with the answer $27.92.

Answer: 2 : $37.5

Step-by-step explanation: This would be considered not using long division but this should be the only practical answer. Using long division you would come up with 37 with a remainder of 2, which doesn't seem to be correct.

Answer: 3 : $177.92

Step-by-step explanation: Adding the cost of both the goodie bags and the 4 hours worth of the bounce house the total should have came out to be, $177.92

Answer:

bro whut are u doing here? -.-

Considering the definition of an inequality, the interval of hours parked for which Garage A is cheaper than Garage B is 6 hours.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "t" the time parked, in hours. If you want to determinate the interval of hours parked for which Garage A is cheaper than Garage B,  the inequality that expresses the previous relationship is

5 + 3t < 11 + 2t

Solving:

3t - 2t < 11 -5

t < 6

Finally, the interval of hours parked for which Garage A is cheaper than Garage B is 6 hours.

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Using permutations and combinations, The number of different ways this can be done is 316250 ways.

A permutation is an orderly arrangement of the items or numbers. Combinations are a means to choose items or numbers from a collection or set of items without regard for the items' chronological sequence.

We will solve it using permutations and combinations

a. The number is ²⁵P₄=  25! / (25 - 4)!

25! / 21! = 25 × 24 × 23 × 22 = 303600 ways.

b. The number is ²⁵C₄= 25! / 4! . (25 - 4)!

= 25! / 4! . 21! = 25 × 24 × 23 × 22 / 4 × 3 × 2

= 12650 ways

Total number of ways to select persons are =

303600 + 12650

= 316250

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The simplification of the expression for the weight of the canteen after drinking is 2.33 lbs

The total weight can be gotten as:

weight of empty canteen + ( 32 - x ) of the water x weight of water

This would be represented by

total weight = 0.25 + 0.065 * (32-x)

We have to open up the expression

weight = 0.25 + 2.08 - 0.065x

When the weight is 0 we would have

0.25 + 2.08 - 0.065x0

= 2.33 lbs

Hence the simplification of the expression for the weight of the canteen after drinking is 2.33 lbs

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The ratio of Trout to Goldfish to Perch in the pond by using ratio and proportion theorem in its simplest form is 5:2:13

As per the question statement, we are supposed to find out the ratio of Trout to Goldfish to Perch in the given pond in its simplest form.

It is given that 25% of the fish in a pond are Trout, 10% are Goldfish and the rest 65% are Perch in the given pond.

Let's suppose there are 100 fishes in the pond so

Number of Trout = 25% of 100 = 25

Number of Goldfish = 10% of 100 = 10

Number of Perch = 65% of 100 = 65

Using ratio and proportion theorem,

Trout : Goldfish : Perch = 25:10:65

Trout : Goldfish : Perch = 5 : 2 : 13

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Answer:

I honestly have no clue why you hot that wrong that is correct

Answer:

[tex]\textsf{(a)} \quad \textsf{Interval}=[-10,0].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{497}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{11}[/tex]

[tex]\textsf{(b)} \quad \textsf{Interval}= [-7, 2].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{445}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{-3}[/tex]

[tex]\textsf{(c)} \quad \textsf{Interval}=[-10, 2].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{497}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{-3}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=x^3+12x^2-27x+11[/tex]

Differentiate the function:

[tex]\implies f'(x)=3 \cdot x^{3-1}+2 \cdot 12x^{2-1}-27x^{1-1}+0[/tex]

[tex]\implies f'(x)=3x^2+24x-27[/tex]

Find the critical points of the function by setting the derivative to zero and solving for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies 3x^2+24x-27=0[/tex]

[tex]\implies 3(x^2+8x-9)=0[/tex]

[tex]\implies x^2+8x-9=0[/tex]

[tex]\implies x^2+9x-x-9=0[/tex]

[tex]\implies x(x+9)-1(x+9)=0[/tex]

[tex]\implies (x-1)(x+9)=0[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x+9=0 \implies x=-9[/tex]

Therefore, the critical points are x = 1 and x = -9.

Evaluate the function at the endpoints of each interval as well as the critical points if the critical points fall within the given interval.  The largest and smallest values of the function are the absolute extrema.

Part (a)

Given interval = [-10, 0].

One of the critical points is included in the interval.

Evaluate the function at the endpoints and critical point:

[tex]f(-10)=(-10)^3+12(-10)^2-27(-10)+11=481[/tex]

[tex]f(0)=(0)^3+12(0)^2-27(0)+11=11[/tex]

[tex]f(-9)=(-9)^3+12(-9)^2-27(-9)+11=497[/tex]

Therefore:

Part (b)

Given interval = [-7, 2].

One of the critical points is included in the interval.

Evaluate the function at the endpoints and critical point:

[tex]f(-7)=(-7)^3+12(-7)^2-27(-7)+11=445[/tex]

[tex]f(2)=(2)^3+12(2)^2-27(2)+11=13[/tex]

[tex]f(1)=(1)^3+12(1)^2-27(1)+11=-3[/tex]

Therefore:

Part (c)

Given interval = [-10, 2].

Both of the critical points are included in the interval.

Evaluate the function at the endpoints and critical points:

[tex]f(-10)=(-10)^3+12(-10)^2-27(-10)+11=481[/tex]

[tex]f(2)=(2)^3+12(2)^2-27(2)+11=13[/tex]

[tex]f(-9)=(-9)^3+12(-9)^2-27(-9)+11=497[/tex]

[tex]f(1)=(1)^3+12(1)^2-27(1)+11=-3[/tex]

Therefore:

The measure of the angle is 11. 5°

Trigonometric Identities are defined as the identifiers involving  trigonometry functions and holding true for all the values of variables given in the equation.

The types of trigonometric identities include;

From the diagram shown, we can see that;

The opposite side of the angle is 2

The hypotenuse side of the angle is 10

The trigonometric identity in this case is sine

sin θ = opposite/ hypotenuse

Substitute the values

sin θ = 2/ 10

sin θ = 0. 2

Take the sine inverse of the value

θ = [tex]sin^-^1(0. 2)[/tex]

θ = 11. 5°

Thus, the measure of the angle is 11. 5°

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Answer:

$75

Step-by-step explanation:

2x+2.49= 27.5+124.99

2x=159

x=75

we can rewrite:

|x - 1| if x >1

as

(x - 1)   with x > 1.

Remember how the absolute value function works:

In this case, we have the function:

|x - 1| if x >1

Then the minimum value (not included) that this can take is:

|1 - 1| = 0

So it is only 0 or positive, then we can use the first bullet point only, then we can rewrite:

|x - 1| if x >1

as

(x - 1)   with x > 1.

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The total weight of 4 packets will be equal to 5 and 1 / 2 pounds.

We are given that:

The total number of packages = 4

Weight of each of the package is given as 1 and 3 / 8 pounds

Weight of 1 package = 1 and 3 / 8 pounds.

Weight of 1 package = 11 / 3 pounds

Now, we need to calculate the total weight of 4 packets.

We will do this my multiplying 4 with the weight of each packet.

So, we get that:

Total weight of 4 packets = 4 × 11 / 8 pounds.

Total weight of 4 packets = 11 / 2 pounds

Total weight of 4 packets = 5 and 1 / 2 pounds.

Therefore, the total weight of 4 packets will be equal to 5 and 1 / 2 pounds.

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The equation representing when the two planes would be at the same altitude is 9x=486

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

From (a) we get that: Altitude of Plane A = 990-18x

Altitude of Plane B = 1476-27x

make 890 - 18x = 1476-27x

-18x+27 x = 1476-890

9x=486

X= 54

so pass 54 seconds will the two plane at the same altitude.

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P(A) and P(B) are not independent events.

Event A is said to be independent of event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

 P(A∩B) = P(A)*P(B) for independent events, which is given 0.25 but P(A∩B) = P(A)*P(B) = 0.46*0.57 = 0.26, data does not match.

P(A) = 0.46 and P(B) = 0.57

For A and B to be independent

P (A and B) = 0.46*0.57 = 0.26         [ does not match with given data that is 0.25]

P (A, not B) =0.46*(1-0.57) = 0.19                                                        

P (B, not B) =0.57*(1-0.46) = 0.30

P (not A, not B) = (1-0.46) *(1-0.57) = 0.23

To check if they are independent, sum of all values should be equal to 1

0.57+0.19+0.30+0.23 = 0.98 which is not equal to one.

Therefore P(A) and P(B) are not independent events.

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Answer:

 2 touchdowns, 3 field goals

Step-by-step explanation:

The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.

 23 is not divisible by 3, so 0 touchdowns is not a solution

 23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution

 23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution

 21 -21 = 2 is not divisible by 3, so there is only one solution.

Answer:

1 touchdown and 3 field goals

The most appropriate choice of percentage will be given by-

16.67 % of carton is cracked

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Here,

Number of eggs cracked = 2

Total number of eggs = 12

Percentage of carton cracked = [tex]\frac{2}{12} * 100[/tex]

                                                  = 16.67 %

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If the total time to travel downstream and return upstream to the starting point is 6 hours. If the total distance downstream and back is 30 miles, the speed of the river (current speed) is 6.

Time = Distance/speed

Time taken to row upstream:

(30/2) /(9 - x)

15/(9-x)

Time taken to row downstream:

15/(9 + x)

Total time spent is 6 hours hence,

15/(9- x) + 15/(9 + x) = 6

Cross multiplying

15(9 + x) + 15(9 - x) = 6(9+ x)(9 - x)

= 135 + 15x + 135- 15x =6(81 -9x + 9x - x²)

=270 = 6(81 - x²)

270/6 = 81- x²

45 = 81- x²

x² = 81- 45

x²= 36

x =√36

x = 6

Therefore If the total time to travel downstream and return upstream to the starting point is 6 hours. If the total distance downstream and back is 30 miles, the speed of the river (current speed) is 6.

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im not sure sry man....... delete this answer bc im not sure how to

Answer:

(-5,3)

Step-by-step explanation:

x: (-10-0)/2=-5

y: (6-0)/2=3

Step-by-step explanation:

0 steps to reach floor 0.

a.

floor 0 to floor 1 = floor 0 + 14 = 0 + 14 = 14

floor 1 to floor 2 = floor 1 + 14 = 14 + 14 = 28

floor 2 to floor 3 = floor 2 + 14 = 28 + 14 = 42

floor 3 to floor 4 = floor 3 + 14 = 42 + 14 = 56

floor 4 to floor 5 = floor 4 + 14 = 56 + 14 = 70

b.

when we look at the calculation for the stairs to floor 1, then we see

floor 1 = floor 0 + 14 = 0 + 14 = 14

and for floor 2

floor 2 = floor 1 + 14 = floor 0 + 14 + 14 = 0 + 14 + 14 = 28

and for floor 3

floor 3 = floor 2 + 14 = floor 0 + 14 + 14 + 14 = 42

and so on.

we see

floor n = s(n) = s(0) + 14×n = 0 + 14×n = 14n

s(n) = 14n