beef cost $6.00 per pound and the chicken cost 4.50 per pound. he bought a total of 18 lbs and spent $96. how much of each type of meat did he purchase?

Givens

The numbers are n and n + 1

Average = Av = 105

Equation

Av = (n)(n + 1)/2

Solution

Av = 105

n(n +1)/2 = 105    Multiply both sides by 2

n(n + 1) = 105 * 2

n(n + 1) = 210      Remove the brackets.

n^2 + n = 210     Subtract 210 from both sides

n^2 + n - 210 = 0

factor

(n+15)(n - 14)

n + 15 = 0

n = - 15

n = - 15 which is the smallest of the two answers.

n + 1 = - 14

Check

(-15)*(-14)/2 =

210/2

105        It does check.

Answer:

The numbers are n and n + 1

Average = Av = 105

Step-by-step explanation:

Respuesta: x/2,5=y/5=4/5=0,8

x/2,5=y/5

Multiplicando ambos lados de la ecuación por 5:

5(x/2,5)=5(y/5)→2x=y→y=2x

Sustituyendo y por 2x en la ecuación x+y=6:

x+2x=6

Resolviendo para x: Sumando términos semejantes:

3x=6

Dividiendo ambos lados de la ecuación entre 3:

3x/3=6/3

x=2

Sustituyendo x por 2 en la formula y=2x

y=2(2)→y=4

Determinando la proporción:

x/2,5. Sustituyendo x por 2:

2/2,5

Multiplicando numerador y denominador por 2:

2*2/(2,5*2)=4/5

La proporción es 4/5=0,8

Si lo hacemos con y:

y/5

Reemplazando y por 4:

4/5=0,8 (la misma proporción)

To solve this problem yo must apply the proccedure shown below:

1. You must use the formula applied to calculate the area of the garden.

[tex]A=bh[/tex]

2. You know the value of the area ([tex]127^{\frac{1}{2}}ft^{2}=127.5ft^{2}[/tex] and the value of the heigth ([tex]8^{\frac{1}{2}}ft=8.5ft[/tex] , therefore, you only need to solve for the base:

[tex]b=\frac{A}{h}\\b=\frac{127.5ft}{8.5ft}\\b=15ft[/tex]

The answer is: 15 feet.

y=10x+5 because x=3 so 10*3=30 and 30+5=35 which would mean that $35 is the lowest amount you can spend.

To stay within a $50 daily budget for activities, equations are created to determine the number of tubes (t) and canoes (c) that can be rented. With tube rentals at $5 and canoe rentals at $10, the group of ten can only rent tubes (t = 10), as renting canoes would exceed the budget (c = 0).

The question involves creating and solving a budget constraint problem similar to the examples provided for Janet Bain and Mr. Higgins. To accommodate the group of 10 people with a budget of $50 per day for activities, we need to write equations to determine how many tubes (t) and canoes (c) can be rented. We know that tube rentals cost $5 and canoe rentals cost $10. Each canoe holds up to three people.

First, we write an equation that represents the number of tubes and canoes needed:

Everyone needs a tube: t = 10

Canoes can hold three people: 3c ≥ 10 (since not everyone needs to be in a canoe at the same time)

Next, we write an equation for the total cost to remain within the budget: 5t + 10c ≤ 50 (cost of tubes plus canoes must be less than or equal to $50)

Using t = 10, we can substitute t in the cost equation: 5(10) + 10c ≤ 50

50 + 10c ≤ 50

10c ≤ 0

From the final inequality, c = 0; meaning you cannot rent any canoes if you're buying a tube for each person and staying within a $50 budget. Therefore, the group can only rent tubes, with 0 canoes.

Least common denominator is 24

First of all this is a very poor question, and you should question it a bit. What are these figures? Are they regular? (first 2). Is the last one a parallelogram. I'm going to assume that the yellow one is a rectangle and the middle one is a pentagon and the last one is a parallelogram.

Yellow

A has 4 right angles (That's the property of a rectangle).

Green

B has 5 angles that are equal to 108 degrees. If you draw a 2 lines from any vertex you get 3 triangles. The size of the interior angles totals 3 triangles * 180 degrees = 540 degrees.

540/3 = 108.

Each angle in the interior is 108 degrees.

B has 5 angles all equal 108 degrees. All 5 are obtuse.

Red

Just by sight and assumption C has 2 obtuse angles, and 2 acute angles.

Let  us assume rate of other person = x miles per hour.

Rate of first person is 3 miles per hours faster than other.

Therefore, rate of first person = (x+3) miles per hour.

Total distance between them = 20 miles.

And total time taken by them is 2 hours.

We know, distance, time and rate relation:

Distance = Rate × Time.

Therefore, distance covered by other person = x * 2 = 2x.

Distnace covered by first person = (x+3)*2.

Total distance covered by both = 20 miles.

We can setup an equation

Total distance covered by both  = Distnace covered by first person + distance covered by other person.

2(x+3) +2x = 20.

Now, we can solve the eqation for x.

2x +6 +2x = 20.

4x +6 =20.

Subtracting 6 from both sides, we get

4x +6-6 =20-6

4x = 14.

Dividing both sides by 4, we get

x=3.5

Rate of first person = (x+3) = 3.5+3 = 6.5 miles per hour.

To determine the time needed to layout a full magazine issue, multiply the time taken to layout 1/16 of an issue (3 days) by 16, resulting in 48 days total.

If a magazine can layout 1/16 of an issue in 3 days, then to calculate how many days it takes to layout one entire issue, we simply multiply the number of days it takes to layout 1/16 of the issue by 16.

This is because if 1/16 takes 3 days, then 1/8 (which is twice the amount of 1/16) would take twice as long

(3 days * 2 = 6 days),

and similarly, we can scale up to the full issue (1/1) by multiplying 3 days by 16.

The calculation would be:

Identify the portion of the issue completed: 1/16.

Identify the time taken for this portion: 3 days.

Calculate the time for the whole issue: 3 days * 16 = 48 days.

So, it would take 48 days to layout one full issue.

Answer:

easy 5 ,0 c the x axis is run 5 then you rise on the positive y axis 0 and theres your awnser

Step-by-step explanation:

The set of coordinates satisfies the equations 3x − 2y = 15 and 4x − y = 20 is (5, 0).

Option C is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

3x - 2y = 15 _____(1)

4x - y = 20 _____(2)

The point of intersection of (1) and (2).

3x - 2y = 15

3x = 15 + 2y

x = (15 + 2y) / 3 _____(3)

4x - y = 20

4x = 20 + y

x = (20 + y) / 4 ______(4)

From (3) and (4) we get,

(15 + 2y) / 3 = (20 + y) / 4

4(15 + 2y) = 3(20 + y)

60 + 8y = 60 + 3y

8y - 3y = 0

5y = 0

y = 0

Now,

y = 0 in (1) or (2) we get,

3x = 15

x = 5

(5, 0)

4x = 20

x = 5

(5, 0)

Thus,

The coordinates (5, 0) satisfy the equations.

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Erica was enrolled in dance classes for 14 weeks, as determined by subtracting the registration fee from the total amount paid and dividing by the weekly fee.

Erica paid a total of 753.95 for dance classes, which included a $123.95 registration fee and a weekly fee of 45. To find out the number of weeks w Erica was enrolled in dance classes, we need to subtract the registration fee from the total amount and then divide the remainder by the weekly fee.

The equation to represent this situation is:
w = (Total amount paid - Registration fee) / Weekly fee

Plugging in the values, we get:
w = (753.95 - 123.95) / 45

Calculating the difference and then dividing by the weekly fee:

w = 630 / 45

So:
w = 14

Erica was enrolled in dance classes for 14 weeks.

The number of weeks Erica was enrolled in dance classes, w, is 14 weeks.

We need to subtract the registration fee from the total amount paid and then divide the remaining amount by the weekly fee.

First, we identify the total amount paid for the dance classes, which is $753.95. This includes the registration fee and the weekly fees for the classes.

Next, we identify the registration fee, which is $123.95.

The weekly fee for the dance classes is $45.

The total amount paid, excluding the registration fee, is the total cost minus the registration fee:

[tex]\[ \text{Total amount paid excluding registration} = \$753.95 - \$123.95 \][/tex]

[tex]\[ \text{Total amount paid excluding registration} = \$630.00 \][/tex]

Now, we divide this amount by the weekly fee to find the number of weeks Erica was enrolled:

[tex]\[ w = \frac{\$630.00}{\$45} \][/tex]

[tex]\[ w = 14 \][/tex]

Answer:

The slope is 3 (answer choice A).

Step-by-step explanation:

Take a look at the two given points, (2, -5) and (4, 1).  As we move from the first point to the second, x increases by 2 and y increases by 6, so that the slope is m = 6/2, or 3.

5.1=s. Use the distributive property and add like terms

Answer:

5x + (-6) = -2

Step-by-step explanation:

Times is used in multiplication

Sum is used in addition

A

The domain is -∞ < x < ∞

B

The range is -∞ < x ≤ 3

C

The graph is increasing from -∞ < y < 3

D

The graph is decreasing from 3 > y > -∞

E

The local maximum is at ( - 2, 3 )

F

There are no local minimums

The graph of an absolute value function is a V or inverted V. The x-coordinate of the V's vertex provides the function's line of symmetry, and the y-coordinate of the V's vertex shows the minimum or maximum value of the function.

An absolute value function is a function that contains an algebraic expression within absolute value symbols. The graph of an absolute value function is a symmetrical V or inverted V, depending on the direction of the opening. The vertex of the V, which is the minimum or maximum point of the graph, provides two important pieces of information: the x-coordinate of the vertex gives us the equation's line of symmetry, and the y-coordinate represents the minimum or maximum value of the function, depending on the opening direction.

Let's say, for example, we have the graph of the function |x - 3| + 2. The vertex of this function is at the point (3, 2). Therefore, the line of symmetry is x = 3, and the minimum value of the function is 2.

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c > -13/10

The > should have _ under it.

The numbers 8/5 , 5 and -6 will have an expansion and numbers 0.9 and 3/8 will have contraction.

The scale factors are given which are 5, 0.9, -6, 8/5, 3/8

We have to find which one has a contraction or expansion.

What do you mean by contraction and expansion on a scale ?

If the scale factor is larger than 1 then it would be an expansion whereas the scale factor between 0 and 1 would be a contraction.

As per the question ;

The scale factors given are ;

5, 0.9, -6, 8/5, 3/8

We can also write it as ;

5 , 0.9 , -6 , 1.6 , 0.375

We know that ;

If the scale factor is larger than 1 , it would be an expansion.  

So ;

The factors we have listed that are larger than 1 are 8/5 and 5.

Also ;

If the scale factor is between 0 and 1 , it would be a contraction.  

So ;

The factors we have listed that are between 0 and 1 are 0.9 and 3/8.

Also ;

A negative scale factor will result in a larger, inverted value.  

So ;

The scale factor of -6 will also be an expansion.

Thus , the numbers 8/5 , 5 and -6 will have an expansion and numbers 0.9 and 3/8 will have contraction.

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Answer:

Option 3 is right

z37 is between 2 and 3 standard deviations of the mean.

Step-by-step explanation:

Let X be a random variable which represents the mean number of miles that the employees in a department live from work

X is normal (N(29,3.6)

WE have to find Z score for X

Z =[tex]\frac{x-29}{3.6}[/tex]

=2.22

i.e. 37 is 2.22 std deviations from the mean.

In other words, z37 is between 2 and 3 standard deviations of the mean.

The z-score for z37 is approximately 2.22. This indicates that it lies between 2 and 3 standard deviations of the mean. Hence, the correct statement is: z37 is between 2 and 3 standard deviations of the mean.

To determine which statement is true regarding the z-score for the value z37, we need to calculate the z-score using the given mean and standard deviation.

This means that z37 is approximately 2.22 standard deviations away from the mean. Therefore, the correct statement is:

z37 is between 2 and 3 standard deviations of the mean.

In a normal distribution, about 95 percent of the x values lie within two standard deviations, and about 99.7 percent lie within three standard deviations of the mean.

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  [tex]x[/tex] mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: [tex](x-18) mph[/tex]

We know that,  [tex]Time = \frac{Distance}{Speed}[/tex]

So, the time of driving in clear weather [tex]=\frac{50}{x}[/tex] hours

and the time of driving in thunderstorm [tex]=\frac{16}{x-18}[/tex] hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

[tex]\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0[/tex]

Using zero-product property.........

[tex]x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12[/tex]

We need to ignore [tex]x=12[/tex] here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

Answer:

Drive Faster!

Step-by-step explanation:

Let x = a number

3(6 - x) = -9

Divide both sides of equation by 3.

6 - x = -3

Subtract 6 on both sides of equation.

-x = -9

Divide both sides of equation by -1.

x = 9

The number is 9.

The difference between a number and six is [tex] x-6 [/tex]. Twice this difference is [tex] 2(x-6) [/tex]. If you want this difference to be negative, six, you have

[tex] 2(x-6)=-6 [/tex]

Divide both sides by 2:

[tex] x-6 = -3 [/tex]

Add 6 to both sides:

[tex] x = 3 [/tex]

3 x 6 is the simplest way of saying it

Answer: 3x6 because there are 6 3's so it's 3x6

A translation moves the image up, down and/or right, left.  It does not change its size or shape.

Try this: Move your pencil up and to the right.  Did its size or shape change? no

Answer: D

The slope of the line of the given points is y=-5x-33

The correct solution is shown in the graph (D)

Given that the budget is $24 and the minimum is 7 tubs, the fourth graph shows the area in which both constraints are satisfied: triangular area between the points

7 small tubs

8 small tubs

3 large and 4 small tubs

Lets x = # of small tub of popcorn and y = # of large tub of popcorn

She needs to buy at least 7 tubs of popcorn: x + y >= 7

Each small tub of popcorn costs $3 and each large tub of popcorn costs $4 but she only has $24 in her wallet.

3x + 4y <= 24

So now you have the system of inequalities

x + y >= 7

3x + 4y <= 24

Find x and y intercepts of blue line

x + y = 7

x = 0 then y = 7

y = 0 then x = 7

The inequality sign is >= so it's above.

The blue line,  B and D are matching the results

Find x and y intercepts of red line

3x + 4y = 24

x = 0 then 4y = 24; y = 6

y = 0 then 3x = 24;   x = 8

The inequality sign is <= so it's below.

The red line,  Only B is matching

Answer

D is the solution of the system of inequalities.

M= change in y /change in x

(−10, 4), (2, −5)

M= -5-4/2-(-10)

M= -9/12

M- 3/4

Slope is - 3/4

answer:  [tex]m = -\frac{3}{4}[/tex]

work:

slope formula ==> [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

plug the points in according to the formula

[tex]m = \frac{-5-4 }{2-(-10)}[/tex]

[tex]m = -\frac{9}{12}[/tex]

[tex]m = -\frac{3}{4}[/tex]  <== simplified, and final answer :)

hope this helps! ❤ from peachimin

Answer:

NO. |-6| = 6 - a positive integer

Step-by-step explanation:

|a| = a for a ≥ 0

examples

|2| = 2, |0| = 0, |0.56| = 0.56

|a| = -a for a < 0

examples

|-2| = -(-2) = 2, |-100| = -(-100) = 100, |-0.25| = 0.25

Therefore your answer:

|-6| = 6 > 0