Destiny wants to spend at most $240 on a video games. If each video game cost $30, what are all the possible number of games Destiny can buy?

Part A: Translate the situation into an Inequality
The inequality that best matches the situation is
Answer Choices: (30x) (x/30) (240x) (x/240)
Answer Choices: (<) (>) (> or =) (> or =)
Answer Choices: (240) (30)

Part B: Solve the Inequality from Part A
Remember to use x < or > or < underline or > underline

One has to invest $50000 in A and $25000 in B

Let x represent the investment in A and y represent the investment in B.

Total investment is $75,000 ( given )

hence x + y=$75,000 (from the above information)

x + y= 75,000     (equation 1)

Interest rate in A is 4.5 % and Interest rate in B is 3 %

now, 4% of $75000 = $3000

4.5x/100 + 3y/100 = $3000

= 4.5x+3y=300000  ( equation 2 )

Multiplying 3 to equation 1

which equals to 3x + 3y= 225000   ( equation 3 )

Solving equations:  equation 2 & equation 3

4.5x+3y=300000   ( equation 2 )

3x + 3y= 225000   ( equation 3 )

(-)    (-)   = (-)

1.5x  = 75000

x= 50000

substituting x= 50000 in equation 1 (x + y= 75,000)

50000 + y= 75,000

⇒y =75000-50000

⇒y=25000

Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000

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Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) and (2, -5)

m= (y2-y1)/(x2-x1)

m= (-5-3)/(2-0)

m= (-8)/2

m = -4

y - y1 = m(x - x1)

y - 3 = -4(x - 0)

y - 3 = -4x + 0

y = -4x + 3

A graph may or may not represent a function.

The true statement is: (b) Yes, the graph passes the vertical line test.

The vertical line test is used to determine if a graph represents a function or not.

When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.

This means that:

The graph represents a function.

Hence, option (b) is true

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle showing in a picture.

As we know, the sin is the ratio to opposite to the hypotenuse.

Sinθ = 4/5

Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.

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This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Janie cannot do a fraction of a chore, the Number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let us assume that "c" represents the number of chores that Janie could do. Let's now create an inequality to determine the number of chores, ccc, that Janie could do to have enough money to buy the CD.

Since Janie earns $1.20 for each chore she does, we can multiply that amount by the number of chores she completes to determine how much money she will earn.

Thus, we obtain the following inequality:1.20c >= 13.50To find the number of chores that Janie would need to do to earn enough money to purchase a CD, we can use algebra to solve for "c".

To do that, we must first divide each side of the inequality by 1.20:c >= 11.25After dividing each side by 1.20, we obtain the inequality c ≥ 11.25.

Since Janie cannot do a fraction of a chore, the number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let's do a check: If Janie were to complete 12 chores, she would earn 1.20 × 12 = 14.40, which is greater than the cost of the CD.

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Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

936

Step-by-step explanation:

Because 18 times 52= 936

Answer:

Each term is 3 times bigger than the last.

Step-by-step explanation:

\(4\times3=12\\12\times3=36\\36\times3=108\\108\times3=324\)

Answer:

m=200

Step-by-step explanation:

percent means 100,so we duvude 300:by 100 then m=200

Answer:

13 gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

ture

Answer:

false

Step-by-step explanation:

-7 is not greater than POSITIVE 6

a negative is no greater than a positive .

to make it a solution

flip the sign : -7 < 6

For each of the given statements the truth value are as follow:

a. ∀n ∃m (n²< m) is False.

b. ∃n ∀m (n < m²) is true.

As given in the question,

Domain of all the presents variables consists of integers.

Truth value for the given statements are as follow:

a.  ∀n ∃m (n²< m)

For integers -2

(-2)² = 4

There is no such integer present whose square is less than the integer.

Truth value of above statement is false.

b.  ∃n ∀m (n < m²)

For integers -3

(-3)² = 9

-3 < 9 is the true for all positive and negative integers.

Therefore, the truth value of the given statements are as follow:

a. ∀n ∃m (n²< m) is False.

b. ∃n ∀m (n < m²) is true.

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Answer:

$136.85

Step-by-step explanation:

You want to find 30% of 230 and then subtract it from 230.

30% of 230 is 69.

230 - 69 = 161

Then you find 15% of 161

15% of 161 is 24.15.

161 - 24.15 = $136.85

I checked my answer with this:

Answer:

Testing a new drug developed for treating degenerative joint disease (DJD) in dogs

The major reason for separate assignment for each breed of dog is that:

E) There must be an equal number of dogs in each of the two treatment groups.

Step-by-step explanation:

One of the two groups is the experimental group (treatment group).  It receives the new treatment whose effect the researchers are interested in finding out.  The other half (group) is called the control group.  It receives the traditional drug.  This control group (also called the comparison group) ensures that the treatment the researchers are giving to the dogs causes the expected experimental results.  This means that the results of the two groups are compared to determine the different effects.

Answer:

5/8+1/2=9/8 or 1 1/8

Step-by-step explanation:

1/2 x 4 (top and bottom)= 4/8

5/8 + 4/8 = 9/8

Hi student, let me help you out!

..............................................................................................................................

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If two fractions have unlike denominators, we first need to give both of them the same denominator, since we know how to add fractions with the same denominators.

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\///\\\///\\\///\\///\\\///\\\///\\\///\\\///\\\//

Here we have the following fractions: \(\mathrm{\cfrac{5}{8}+\cfrac{1}{2}}\).

First we should find the l.c.m. (least common multiple) of "8" and "2".

The l.c.m. of "8" and "2" is 8. Let's stick it in: \(\mathrm{\cfrac{5}{8}+\cfrac{1}{8}}\).

Now let us consider the following: What did we multiply 2 by to get a result of 8?

Since we multiplied 2 by 4 to obtain 8, we also multiply 1 by 4: 4.

As a result, we obtain \(\mathrm{\cfrac{5}{8}+\cfrac{4}{8}}\).

Now all we have to do is add the numerators.

This is what we obtain as a result: \(\mathrm{\cfrac{5+4}{8}=\cfrac{9}{8}}\).

Notice that the answer is written as an improper fraction, a fraction such that the numerator is larger than the denominator.

Hope this helped you out, ask in comments if any queries arise.

Best Regards!

\(\star\bigstar\underline{\underline{\overline{\overline{Reach\:far.\:Aim\:high.\:Dream\:big.}}}}\bigstar\star\)

\(\underline{\rule{300}{5}}\)

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.

Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.

It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.

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9514 1404 393

Answer:

  (b) dilation by 2, reflection in y-axis

Step-by-step explanation:

Each of the dimensions of ΔA'B'C' is double the corresponding dimension of ΔABC, so dilation by a factor of 2 has occurred.

The sequence of vertices in ΔA'B'C' is CCW, opposite that of ΔABC. Hence, a reflection has taken place. (Rotation keeps the same order.)

The transformation is a dilation by a factor of 2 and a reflection across the y-axis.

Answer:

Its 4

Step-by-step explanation:

\(2 + 2 = 4 \\ \)

Answer:

2+2=4 lol

And it says I need 20 characters so here are the 20 characters, bRaInLy

Answer: i think B

Step-by-step explanation:

im not that sure tho

Answer:

1

Step-by-step explanation:

R=red Y=yellow B=black

2(R)+4(B)

=6

2(Y)/6(R+B)

2/6 to get 50=50 or 3/6=1/2

you need 1 more yellow

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.

The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).

When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.

Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).

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The probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Amounts of weight that male college students gain during their freshman year are normally distributed

mean of μ = 1.1 kg and

Standard deviation of o= 4.6 kg.

Z score=x-μ/o

=25-1.1/4.6

=23.9/4.6

=5.196

Z score=x-μ/o

=25-1.1/0

=0

Z score=25-1.1/3

=23.9/3

=7.966

By observing the z table the probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%

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Answer: 0.75. It's pretty obvious.

Answer:

0.75

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

The average woman’s height is 65 inches with a standard deviation of 3.5 inches.

What proportion of women is shorter than 71 inches tall?

(enter the answer as a percent rounded to the nearest hundredth as needed)

Step 2:

The details of the solution are as follows:

Using the formulae, we have that:

Step 3:

Computing the values, we have that:

Now, we need to use the z-score calculator, to find the:

CONCLUSION:

The percentage of the women that are shorter than 71 inches tall is: