What is the value of t in the equation 3(2t + 5) = 5t + 20? (4 points)

a
5

b
6

c
10

d
35

Answer:

Jane has 30 different outfits she can choose from.

Step-by-step explanation:

Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is \(3 * 5*2\) = 30 different outfits.

Answer:

-0.35

Step-by-step explanation:

(2.5+1.8)÷2 then minus from 1.8

4.3÷2=2.15

1.8-2.15= -0.35

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Answer:

The numbers are 16 and 44.

Step-by-step explanation:

Leg x be the first number, then the other number is 3x - 4.

So x + 3x - 4 = 60

4x = 60 + 4 = 64

x = 64/4

x = 16.

The other number is 3(16) - 4 = 44.

Step-by-step explanation:

Hey there!

Given;

The sum is numbers 60.

Let one number be x then, the next number is 3x-4.

Now, according to the question,

x+3x-4 = 60

4x = 60+4

\(x = \frac{64}{4} \)

x = 16.

And another number is 3×16-4.

= 44.

Hope it helps...

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

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The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.

The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.

The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.

Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.

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Answer:

(9,4)

Step-by-step explanation:

(x,y)

X is horizontal, Y is vertical.

10-6=4

Answer:

3,10

Step-by-step explanation:

going down would decrease the y axis so lowering the first number

Using relations in a right triangle, it is found that:

1. Angelica's mistake is stating that we can find the length of AB, as we can only find the simplified length with the ratio, not the actual length.

2. Graziella mistake is stating that since we don't know the sides we cannot find the ratios.

3. The measures are as follows: sin(A) = 3/5, cos(A) = 4/5.

There are three relations in a right triangle, given as follows:

In this problem, we have that the tangent of angle A is of 3/4, hence the lengths are given as follows:

Applying the Pythagorean Theorem, the hypotenuse AB is given as follows:

x² = 3² + 4²

x² = 9 + 16

x² = 25

x = 5.

Then the sine and the cosine of A are given as follows:

This is a procedure in which we can find the smallest possible length of the hypotenuse, not the actual length, which is Angelica's mistake.

Even without knowing the actual length, we could find the ratios for the sine and for the cosine, which is Graziela's mistake.

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Answer:

(-2,-4)

Step-by-step explanation:

Please make me Brainliest

Answer:

260miles

Step-by-step explanation:

because the car travels 65 miles an hour and it is traveling for 4 hours u have to multiply the miles per hour by 4

Answer:

260 miles

Step-by-step explanation:

if it travels 65 miles/hr, the we would do 65 x 4 to see how far it would travel in 4 hours

I hope this helps, have a great day! :)

Answer:

40.6

35.9

i heop the answer is right

To calculate the number of ways you can answer the six questions, we need to consider that each question has 8 possible answers.

Therefore, for each question, you have 8 choices. Since there are 6 questions, the total number of ways to answer them is calculated by multiplying the number of choices for each question together:

Total number of ways = 8 choices * 8 choices * 8 choices * 8 choices * 8 choices * 8 choices

Total number of ways = \(8^6\) = 262,144 ways

So, there are 262,144 ways to answer the six questions.

To calculate the probability of randomly guessing and getting all six questions correct, we need to consider that for each question, there is only one correct answer out of 8 possible choices. Therefore, the probability of guessing the correct answer for each question is 1/8.

The probability of getting all six questions correct can be calculated by multiplying the probabilities of each question together:

Probability = (1/8) * (1/8) * (1/8) * (1/8) * (1/8) * (1/8)

Probability = (1/8)^6 = 1/262,144 ≈ 0.0000038147

So, the probability of randomly guessing and getting all six questions correct is approximately 0.0000038147 or 0.00038%.

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The constant of proportionality 'k' is 90.

Therefore, the answer is option c. 90.

To find the constant of proportionality in this indirect variation problem, we can set up a proportion using the given information.

Let's denote the constant of proportionality as 'k'. We know that when Bartolo runs at an average speed of 15 feet/second, he finishes the race in 6 seconds. We can write this as:

15 feet/second x 6 seconds = k

Similarly, when Bartolo runs at an average speed of 18 feet/second, he finishes the race in 5 seconds:

18 feet/second x 5 seconds = k

Now we can solve for 'k' by setting the two expressions equal to each other:

15 feet/second x 6 seconds = 18 feet/second x 5 seconds

90 feet = 90 feet

This shows that the constant of proportionality 'k' is 90.

Therefore, the answer is option c. 90.

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We can solve for t by making it the subject of the equation.

since   I = Prt             [divide both sides by Pr]

Answer:

The possible locations are;

(3, 4), (3, 12), (7, 4), and (7, 12)

Please find attached the plot of the points created with Microsoft Excel      

Step-by-step explanation:

The given parameters of the plot of Oliver's backyard are;

The area of the right triangular plant bed Oliver wants to design, A = 8 yd²

The length of a/each unit of the plot = 1 yard

The location of one of the vertex of the right triangular area = (3, 8)

The location of the other vertex of the right triangular area = (7, 8)

We note that the area of a triangle, A = 1/2 × Base length, B × Height, h

Let the distance between the two plotted point represent the base length, 'B', therefore;

B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;

Therefore, the base length, B = 4 yards

A = 1/2 × B × h

∴ A = 8 yd.² = 1/2 × 4 yd. × h

h = 8 yd.²/ 2 yd. = 4 yd.

The height of the right triangle, h = 4 yd.

Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;

(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).

Answer:

3,4 7,4

Step-by-step explanation:

Therefore, the probability that half of the six employees score more than 85 and half less is 0.5469.

To find the probability that half of the employees score more than 85 and half less, we can use the binomial distribution.

Let X be the number of employees who score more than 85 out of the 6 employees. Then, X follows a binomial distribution with n=6 and p=0.5 (since we want half of the employees to score more than 85).

To get half the employees to score more than 85, we need X to be either 2 or 3 (since there are only 6 employees). Thus, we want to find the probability P(X=2 or X=3).

Using the binomial probability formula, we get:

P(X=2 or X=3) = P(X=2) + P(X=3)

= (6 choose 2)(0.5)^6 + (6 choose 3)(0.5)^6

= 0.2344 + 0.3125

= 0.5469

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Answer is 3t²-6t

\(s(t) = {t}^{3} - 3 {t}^{2} + 8\)

Now we need to find velocity. The velocity is the first derivative of position, so let's find the derivative of s(t) :-

\(s'(t) = v(t) = 3 {t}^{3 - 1} - 3 \times 2 {t}^{2 - 1} \)

So,

\(v(t) = 3 {t}^{2} - 6t\)

Therefore, v(t) = 3t²-6t

A line passes through point (1, 6) and has a slope is y=8x-14 We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope (8), we can immediately plug that into the equation

So far, the equation of the line is:

y=8x+b

Now we need to find b

The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b

Substitute 1 as x and -6 as y in the equation to solve for b

-6=8(1)+b

Multiply

-6=8+b

Subtract 8 from both sides

-14=b

Substitute -14 as b into the equation

y=8x-14

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The radius οf the circle is apprοximately 1.2 units.

A circle is a twο-dimensiοnal shape that is defined as the set οf all pοints in a plane that are equidistant frοm a fixed pοint called the center. The distance frοm the centre tο any pοint οn the circle is called the radius, and the distance acrοss the circle passing thrοugh the center is called the diameter.

The circumference οf a circle is the distance arοund its οuter edge, and it is equal tο the prοduct οf the diameter and pi (π), a mathematical cοnstant apprοximately equal tο 3.14159. Circles have many prοperties that make them useful in geοmetry and οther areas οf mathematics.

In this prοblem, we are given the angle and the length οf the intercepted arc. Let's call the radius οf the circle "r". Then we can write:

11.8 = r * 9.7

Tο sοlve fοr "r", we can divide bοth sides by 9.7:

r = 11.8 / 9.7

r ≈ 1.2165

Rοunding tο the nearest tenth, we get:

r ≈ 1.2

Therefοre, the radius οf the circle is apprοximately 1.2 units.

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The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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1. 135, 205, 330, 275, and 365 are divisible by 5.

2.  1, 4, and 7 can be filled in the blank space to make it divisible by 3.

3. 1, 2, 3, 5, 6, 10, 15, and 30 are the factors.

4. 81 is the only composite number all the other nos. are prime.

Divisibility rules are methods for determining whether a number is divisible by a certain number or not without actually dividing.

We know numbers that are divisible by 5 are those numbers

having 5 or 0 in their unit place.

∴ 135, 205, 330, 275, and 365 are divisible by 5.

A number is divisible by 3 if the sum of all the digits is divisible by 3.

∴ 3,71_ has a digit sum of 11, so 1, 4, 7 can be filled in the blank space to make it divisible by 3.

A list of all the factors of 30 is those numbers that divide 30 completely.

∴ 1, 2, 3, 5, 6, 10, 15, and 30 are the factors.

We know composite numbers are those numbers that are not prime.

∴ 81 is the only composite number all the other nos. are prime and they have only two factors 1 and the number itself.

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Step-by-step explanation:

16×16=24 step by step thank you

Answer:

12/82 or 6/41

Step-by-step explanation:

Yes, I do agree with Jamie.

1 is NEITHER a prime number NOR a composite number.

Reason for agreeing:-

We know that a PRIME NUMBER is any given number that has only one as a factor. I.e it is only divisible by 1 AND ITSELF.

And, a COMPOSITE NUMBER is any number that is divisible by a number other than one and itself.

Here in the case of 1, we see that it is divisible by 1 and itself, and since it cannot have any other factor we can't put in either of the two categories

Ravi is 3 times the age of Priya

Before 4 years, Ravi was 8 years older than Priya.

their present age

Let Ravi's age be x years and Priya's age be y years.

Ravi is 3 times the age of Priya

⟹ Ravi's age = 3 * Priya's age

⟹ x = 3y -- equation (1)

And,

Before 4 years, Ravi was 8 years older than Priya.

Priya's age before 4 years = (y - 4) years.

Ravi's age before 4 years = (x - 4) years.

According to the above condition,

⟹ x - 4 = y - 4 + 8

Substitute the value of x from equation (1)

⟹ 3y - 4 = y + 4

⟹ 3y - y = 4 + 4

⟹ 2y = 8

⟹ y = 8/2

⟹ y = 4

Substitute the value of y in equation (1).

⟹ x = 3(4)

⟹ x = 12

Therefore,

Present age of Ravi = x = 12 years

Present age of Priya = y = 4 years.

I hope it will help you.

Regards.

Answer:

→ x + 3x + 7x + 9x = 360°

→ 20x = 360°

→ x = 360°/20

→ x = 18°

Therefore,

1st angle = x = 18°

2nd angle = 3x = 3(18) = 54°

3rd angle = 7x = 7(18) = 126°

4th angle = 9x = 9(18) = 162°.

Step-by-step explanation:

In a case whereby Diane bought a diving board online which cost $419.97 plus 22% shipping and handling the total cost is $512.36.

The concept that will be used is the percentage.

From the question, the cost of the diving board was given as $419.97, and we were told that  22% of the value of the money was used on shipping and handling,

Then the amount that was used on shipping and handling=  22/100 * $419.97 = $92.39.

Then total cost = $92.39 + $419.97 =$512.36

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The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5

To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.

Item A:

Period 1: Gross requirement of 20 units.

Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.

Item B:

Item B is a component of A, and each A requires 2 units of B.

We need to calculate the net requirements for B based on the planned order release for A.

Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.

B has a scheduled receipt of 30 units in period 1.

Net requirement for B in period 1: 40 units - 30 units = 10 units.

Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.

Item C:

Item C is a component of A, and each A requires 3 units of C.

We need to calculate the net requirements for C based on the planned order release for A.

Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.

C has a lead time of two periods, so we need to account for that.

Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.

Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.

Item D:

Item D is a component of C, and each C requires 1 unit of D.

We need to calculate the net requirements for D based on the planned order release for C.

Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.

D has a lead time of one period, so we need to account for that.

Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).

Since the net requirement is negative, we do not release any planned order for D.

Item E:

Item E is a component of C, and each C requires 1 unit of E.

We need to calculate the net requirements for E based on the planned order release for C.

Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.

E has a lead time of two periods, so we need to account for that.

Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.

Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.

Item F:

Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.

We need to calculate the net requirements for F based on the planned order releases for B and C.

Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.

Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.

F has a lead time of two periods, so we need to account for that.

Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.

Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.

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