Adina is starting a band and wants to buy a guitar and amplifier. The cost of the guitar is g(m) = 680 + 10m where m is time in months. The amplifier cost is represented by the function a(m) = 450 - 5m. Adina hopes to have
enough money saved up to buy both items in 4 months. How much will she need?
A. $1,070
B. $290
C. $1,190
D. $1,150

Answer: y > 2/5x - 4

Step-by-step explanation:

The slope intercept form is y = mx + b

To get the inequality to that, we have to get y alone.

Starting:

2x - 5y < 20

Subtract 2x from each side leaves you:

- 5y < -2x + 20

Dividing by -5 leaves you:

(Remember that when dividing by a negative in an inequality, the sign flips.)

y > 2/5x - 4

Hope this helps!

(a) (6, H, 7) is not a possible outcome because the sum of the two numbers rolled on the number cube cannot be 7 if the first number rolled is 6.

(b) (T, 3, 4) is a possible outcome because the first outcome is tails, the second outcome is 3, and the third outcome is 4.

(c) (6, H, 6, T) is not a possible outcome because the third outcome cannot be both 6 and T at the same time.

(d) (1, T, 1) is a possible outcome because the first and third outcomes are both 1 and the second outcome is tails.

(e) (H, H, 3) is not a possible outcome because the third outcome cannot be 3 if the first two outcomes are both heads.

What is Probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

Since each of the three people orders a different flavor, the first person has 6 choices, the second person has 5 choices (since one flavor has already been chosen), and the third person has 4 choices (since two flavors have already been chosen). The total number of outcomes is the product of these numbers:

6 × 5 × 4 = 120

Therefore, there are 120 possible outcomes.

(part 1) There are 10 options for the first digit, 9 options for the second digit (since one digit has already been chosen), and 8 options for the third digit (since two digits have already been chosen). The total number of combinations is the product of these numbers:

10 × 9 × 8 = 720

Therefore, there are 720 possible locker combinations.

(part 2) If you absolutely choose 9 as your first digit, then there are only 9 options for the first digit. The second and third digits can still be any of the remaining 9 digits (since digits cannot repeat). Therefore, the number of possible combinations is:

1 × 9 × 8 = 72

The theoretical probability of getting HH on two coin flips is (1/2) × (1/2) = 1/4 = 0.25. The experimental probability of getting HH after 100 trials is 25/100 = 0.25. Since the experimental probability is equal to the theoretical probability, we can say that the experimental probability of getting HH is equal to the theoretical probability.

The possible outcomes of rolling a standard number cube are 1, 2, 3, 4, 5, and 6. The possible outcomes of flipping a coin are heads (H) or tails (T).

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Answer: $135

Step-by-step explanation:

    We know that:

         Selling price = [tex](100 - \text{Loss}\%)(\frac{\text{Cost Price}}{100})[/tex]

    Using the given cost price and loss%, we can solve.

         Selling Price = [tex](100 - \text{Loss}\%)(\frac{\text{Cost Price}}{100})[/tex]

         Selling Price = (100 - 10)([tex]\frac{\text{150}}{100}[/tex])

         Selling Price = (90) * (1.5)

         Selling Price = $135

    This means the selling price of the dress is $135.

The answer should be 10 1/2 ft

Here is my work below:

Answer:

Step-by-step explanation:

the answer is eitehr b or a

Answer: 1 1/4

Step-by-step explanation:

1/4 * 3 = 3/4

3/4 + 1/2 =

3/4 + 2/4 = 5/4 = 1 1/4

Answer: See attached.

Step-by-step explanation:

    Since the first equation uses a ≤ symbol, we know we will use a solid line. This is because it is less than and equal to. Then, we will graph it as a regular slope-intercept line.

    This line has a slope of 5 and a y-intercept of -2. This means we will start at (0, -2) and move five units up for every unit right, or five units down for every unit left.

    For the next equation, it uses a > symbol so we will use a dashed line. This is because it is not equal to, only greater than. Same as the previous. We will graph it as a slope-intercept line, but using a dashed line instead of a solid line.

    This line has a slope of -2 and a y-intercept of positive 5. This means we will start at (0, 5) and move two units down for every unit right, or two units up for every unit left.

Answer:

Step-by-step explanation:

x = number of small boxes

x-4 = number of large boxes

total number of eggs in the large boxes = 12(x-4) = 12x - 48

total number of eggs she buys = 6x + 12x - 48 = 18x - 48 = 6(3x - 8)

Answer:

a. x = 11; mAB = 34°

b. x = 25.5; mAB = 46°

c. x = 17; mAB = 46°

d. x = 11; mAB = 17

Step-by-step explanation:

The correct classification for the expression 2x+2 is a Linear binomial.(3)


A monomial is an algebraic expression with only one term. A binomial is an algebraic expression with two terms. A trinomial is an algebraic expression with three terms.

A quadratic expression is an expression with a term that has a degree of 2. A linear expression is an expression with a term that has a degree of 1.

In the given expression, 2x+2, there are two terms (2x and 2) so it is a binomial. The highest degree of the terms is 1 (in the term 2x), so it is a linear expression. Therefore, the correct classification for the expression is a Linear binomial.

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complete question

Classify 2x+2 in one of the following

1.Quadratic monomial

2.Linear monomial

3.Linear binomial

4.Quadratic trinomial

The answer is x=26.

To solve the equation x-5=21 using the addition property of equality, we need to isolate the variable x on one side of the equation. The addition property of equality states that if we add the same value to both sides of an equation, the equation will remain true.

Step 1: Add 5 to both sides of the equation to cancel out the -5 on the left side.
x-5+5=21+5

Step 2: Simplify both sides of the equation.
x=26

Step 3: Check the solution by substituting the value of x back into the original equation.
26-5=21
21=21

The solution checks out, so the answer is x=26.

In conclusion, the solution to the equation x-5=21 using the addition property of equality is x=26.

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The distribution is  X ~ N(46, 19), the probability that a randomly selected student's time will be between 42 and 44 minutes is 0.04147. the probability that the average time studying for the 50 students is between 42 and 44 minutes is 0.1601.

a. X ~ N(46, 19)

b. e is not defined in the problem, so it does not have a distribution.

c. z ~ N(0, 1) (standard normal distribution)

d. To find the probability that one randomly selected student's time will be between 42 and 44 minutes, we first standardize the values:

z = (44 - 46) / 19 = -0.1053

z = (42 - 46) / 19 = -0.2105

Using a standard normal table or calculator, we can find the area under the standard normal curve between these two z-scores:

P(-0.2105 < z < -0.1053) = 0.04147

Therefore, the probability that a randomly selected student's time will be between 42 and 44 minutes is 0.04147.

e. To find the probability that the average time studying is between 42 and 44 minutes, we need to use the central limit theorem. Since we have a large enough sample size (n = 50) and the population standard deviation is known, we can use the following formula to standardize the sample mean:

z = (x - μ) / (σ / √n)

Substituting the given values:

z = (44 - 46) / (19 / √50) = -0.7443

z = (42 - 46) / (19 / √50) = -1.4886

Using a standard normal table or calculator, we can find the area under the standard normal curve between these two z-scores:

P(-1.4886 < z < -0.7443) = 0.1601

Therefore, the probability that the average time studying for the 50 students is between 42 and 44 minutes is 0.1601.

f. The total study time for the 50 students follows a normal distribution with mean 5046 = 2300 minutes and standard deviation √5019 ≈ 39.70 minutes. To find the probability that the total study time is more than 2200 minutes, we standardize the value:

z = (2200 - 2300) / 39.70 = -2.5189

Using a standard normal table or calculator, we can find the area under the standard normal curve to the right of this z-score:

P(z > -2.5189) = 0.99411

Therefore, the probability that the randomly selected 50 students will have a total study time more than 2200 minutes is 0.99411.

g. The assumption of normality is necessary for parts e) and f) because we are using the normal distribution and the central limit theorem to approximate the probabilities. Without the normal assumption, we would need to use different methods for probability calculations.

h. We need to find the least total time that corresponds to the top 15% of the distribution. Using a standard normal table or calculator, we can find the z-score that corresponds to the 85th percentile:

z = 1.0364

We can then use the formula for the total study time:

x = μ + z(σ / √n)

Substituting the given values:

x = 4650 + 1.0364(19*√50) ≈ 4652.78

Therefore, the least total time that a group can study and still receive a sticker is approximately 4652.78 minutes.

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The series converges.

To test the series 3 + 3/5 + 3/5^2 + 3/5^3 + … =∑n=0[infinity] 3/5^n,

we can use the ratio test.

Specifically, we can look at the ratio of each successive term.

Let an+1/an = 3/5n+1/3/5n = 1/5. Since this is less than 1, the series converges.

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Answer:

working on it

Step-by-step explanation:

She gets $114 to work at grocery store for 6 hours and $200 at the nursery.

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute.

We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Eli has two summer jobs. During the week he works in the grocery store, and on the weekend he works at a nursery. He gets paid $20 per hour to work at the grocery store and $17 per hour to work at the nursery.

14 hours at the grocery store and 9 hours at the nursery? How much does he earn if he works

Therefore, She gets $114 to work at grocery store for 6 hours and $200 at the nursery.

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the answer to the question Simplify. Express your answer z^(4)*z*z" is z^(6).

To simplify the expression z^(4)*z*z, we need to use the rules of exponents. Specifically, we need to use the rule that states that when we multiply expressions with the same base, we can add the exponents. In other words, a^(b)*a^(c) = a^(b+c).

Using this rule, we can simplify the given expression as follows:

z^(4)*z*z = z^(4+1+1) = z^(6)

So, the simplified expression is z^(6).

In conclusion, the answer to the question "Simplify. Express your answer z^(4)*z*z" is z^(6).

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The estimated value of the standard deviation using the range rule of thumb is 0.875 degrees F

The range rule of thumb is used to estimate the standard deviation of a data set using the range of the data. In this case, the range of the data is 3.5 degrees F. Using the range rule of thumb, the standard deviation of the data can be estimated by taking the range (3.5) and dividing it by 4, which gives us an estimated standard deviation of 0.875 degrees F.

This estimated value is within 0.2 degrees F of the actual standard deviation of the data (0.72 degrees F).

To compare this result to the actual standard deviation of the data, we subtract the estimated value from the actual value and take the absolute value of the result. This gives us the difference between the two values:

|0.72 - 0.875| = 0.155

Since the difference between the estimated and actual standard deviations is less than 0.2 degrees F, we can say that the range rule of thumb provides a reasonable approximation of the standard deviation for this data set.

In conclusion, the estimated value of the standard deviation using the range rule of thumb is 0.875 degrees F, and this value is within 0.2 degrees F of the actual standard deviation of 0.72 degrees F.

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The GCF (greatest common factor) of the first two terms of the polynomial 3p^(3)+9p^(2)+5p+15 is 3p^(2). This is because both terms have a common factor of 3p^(2) that can be factored out.

The GCF of the last two terms of the polynomial is 5. This is because both terms have a common factor of 5 that can be factored out.

Therefore, the polynomial can be factored as follows:

3p^(2)(p+3) + 5(p+3)

Now, we can factor out the common factor of (p+3) to get the final factored form of the polynomial:

(3p^(2)+5)(p+3)

So, the GCF of the first two terms is 3p^(2) and the GCF of the last two terms is 5.

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The value of x is 18 and y is 16. The solution has been obtained by using concept of similar triangles.

If two triangles have the same number of corresponding sides and corresponding angles, they are said to be similar. Similar figures are objects that have the same shape but various sizes, like two or more figures.

We are given that in ΔABC and ΔBDC,

∠ABC ≅ ∠BDC  (right angles)

BC ≅ BC  (common side)

∠ACB ≅ ∠BCD (common angle)

So,  ΔABC ≅ ΔBDC.

We know that in similar triangles, the ratio of the corresponding sides is same.

So,

AC / BC = BC / CD

Now, by substituting the given values in the relation, we get,

⇒18/a = a/16

We are given proportion as x/a = a/y.

On comparing both, we get

x = 18 and y = 16

Hence, the value of x is 18 and y is 16.

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We can use trigonometry to solve this problem.

Let's call the distance we are looking for "x". We can use the sine function, which relates the opposite side of a right triangle to its hypotenuse:

sin(51°) = opposite/hypotenuse

We know that the hypotenuse is the length of the ladder, which is 3.8m. We can solve for the opposite side (x) by rearranging the equation:

x = sin(51°) * 3.8m

x ≈ 2.98m

So the bottom of the ladder is about 2.98 meters away from the wall. Rounded to the nearest tenth, the answer is 3.0 meters.

Answer:

First, we need to calculate Danielle's commission on the merchandise she sold:

Commission = 7.25% of $4,100 = 0.0725 x $4,100 = $296.25

Next, we need to calculate her total earnings for the week:

Total earnings = Base salary + Commission

Total earnings = $725 + $296.25

Total earnings = $1,021.25

Therefore, Danielle earned $1,021.25 last week.

Answer:

1,021.25

Step-by-step explanation:

The area of the shaded shape WXZY s equal to 381.4 cm².

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θπr²/360

Where:

In order to determine the area of the shaded shape WXZY, we would have to subtract the area of sector OYZ from the area of the sector OWX.

Area of sector OWX = 75 × 3.14 × 32²/360 = 669.87 cm²

Area of sector OYZ = 75 × 3.14 × 21²/360 = 288.49 cm²

Area of shaded shape WXZY = Area of sector OWX - Area of sector OYZ

Area of shaded shape WXZY = 669.87 cm² - 288.49 cm²

Area of shaded shape WXZY = 381.4 cm².

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$120,000

The formula for an exponential function passing through the points (-2,--) and (2, 75) is: y = 75 * 2x + 2. To answer the question about the house valued at $120,000, the value of the house is not related to an exponential function. Therefore, the answer is that the value of the house is $120,000.

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Some of the questions to ask grade 12 students on a questionnaire about taking a gap year after school​ are:

A questionnaire refers to a set of questions or items used to collect information about respondents' attitudes, experiences, or opinions. Questionnaires can be used to collect both quantitative and qualitative data. Questionnaires are widely used in market research, as well as social and health sciences.

As the researcher's study focus on semester taken after high school and prior to post-secondary education, such questionnaire involve will focus on variables on the student gap year.

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Elena plans on running a total of 5 miles.

Mile, any of several distance measurements, such as the statutory mile (5,280 ft) (1.609 km). It comes from of the Romans lire passus, also referred as the "1000 steps," which was equal to 5,000 Romans feet. Unit of length is a related topic. See all relevant material The "old London" mile was eight furlongs when it was first established in 1500.

The term mille passus, which translates to "a hundred paces" in Latin and meant a length of 1,000 rates of speed or 5,000 Rome feet, was originally used by the Romans. It is equivalent to around 1,480 metres, or 1,618 contemporary yards.

We are aware that she has covered 2 miles, or 40% of a total distance, in her run thus far:

[tex]2=0.4x[/tex]

To find x,

[tex]2=0.4x[/tex]

[tex]x=\frac{2}{0.4}[/tex]

[tex]x=5[/tex]

Therefore, Elena plans to run a total distance of 5 miles.

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6%=300

300 x 5 = 1500

5k add £1500

=

6500

Answer:Next year, he will have 5% more than that. To find our total value at the end of the year, .

Step-by-step explanation:

The value conversion of polynomial -2x³ + 1/7 + [tex]x^4[/tex] - x² to standard form is [tex]x^4[/tex] - 2x³ - x² + 1/7.

To rewrite the polynomial -2x³ + 1/7 + [tex]x^4[/tex] - x² in standard form, we need to arrange the terms in decreasing order of their degree, with the highest degree term first.

Rewrite the polynomial with the terms in descending order of degree:

[tex]x^4[/tex] - 2x³ - x² + 1/7

Combine any like terms:

There are no like terms to combine in this polynomial.

Rewrite the polynomial in standard form:

The polynomial in standard form is:

[tex]x^4[/tex] - 2x³ - x² + 1/7

Therefore, the polynomial -2x³ + 1/7 + [tex]x^4[/tex] - x^2 in standard form is [tex]x^4[/tex] - 2x³ - x² + 1/7.

It is important to remember to always arrange the terms in descending order of degree when writing a polynomial in standard form.

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Step-by-step explanation:

Refer to pic............

Answer:

80

Step-by-step explanation:

we will write an inequality of 1.50x + 130 =250

We subtract 130 from each side, so we have

1.50x=120

Now we divide by 1.50 on each side

X=80.