michael sang 5 songs. Every song was 7/8 minutes long. For how much time did he sing in total?

Answer:

2

Step-by-step explanation:

2 is the gcf of 38 and 16 as it is the only greatest number which could be divided by both.

Answer:

2

Step-by-step explanation:

Because 2 is the largest number that both numbers can multiply with the factors, it is the Greatest Common Factor (GCF).

8 x 2 = 16, and 19 x 2 = 38

Hope this helps.

Answer:

$29.00 x .08 sales tax = $2.32 sales tax

$29.00 + 2.32 = #31.32 is the total price after tax

The total price is $31.32.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

C. 12, 8, 5

Step-by-step explanation:Side lengths of any triangle must conform to the triangle inequality theorem, which says that the sum of the lengths of any of the two sides of the triangle is greater than the length of the third side.

This means:

a + b > c

a + c > b

b + c > a

Let's check each of the options to see which set are possible lengths for a triangle:

A. 6, 5, 11

6 + 11 > 5 ===> 17 > 5

5 + 11 > 6 ===> 16 > 6

6 + 5 > 11 ===> 11 > 11 (INCORRECT. Does not confirm to tye theorem)

Therefore, this set cannot be possible side lengths for a triangle.

B. 8, 1, 2

8 + 1 > 2 ===> 9 > 2

1 + 2 > 8 ===> 3 > 8 (INCORRECT)

8 + 2 > 1 ===> 10 > 1

This set cannot be possible side lengths for a triangle.

C. 12, 8, 5

12 + 8 > 5 ===> 20 > 5

8 + 5 > 12 ===> 13 > 12

12 + 5 > 8 ===> 17 > 8

All are correct, therefore these are possible side lengths for a triangle.

Answer:

I don't know if your asking for the price for each ticket, but if you are, it's $41 each.

Step-by-step explanation:

5 x 3 = 15(price of the service charge)

138 - 15 = 123(price with out service tax)

123/3 = 41

Hope this was helpful

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

Answer:

f(0) = 3

Step-by-step explanation:

We will use the first equation, since x = 0

Answer:

5,274+x ≥ 10,000

Step-by-step explanation:

We can express that the amount of steps already taken (5,274) plus the amount to go (x) must be at least 10,000.

5,274+x ≥ 10,000

HTH :)

Answer:

Your answer is C

Step-by-step explanation:

Answer:

-37/17

Step-by-step explanation:

Answer:

-7,-1, and 7.07

Step-by-step explanation:

The magnitude of the component is \($\sqrt{50}\) units.

The term magnitude exists described as “how greatly of a quantity”. The magnitude of a vector exists in the measurement of the vector. The magnitude of the vector a exists represented as ∥a∥.

The formula to define the magnitude of a vector (in two dimensional space) v = (x, y) exists: \(\\\|v\| &=\sqrt{x^{2}+y^{2}} \\\)

This formula exists derived from the Pythagorean theorem.

Given: Vector v contains its initial point at (11,-4) and its terminal point at (4,-5).

\($v &=\left\langle q_{1}-p_{1}, q_{2}-p_{2}\right\rangle \\\)

\($&=\langle 4-11,-5-(-4)\rangle \\\)

\($&=\langle-7,-1\rangle\)

\(\\\|v\| &=\sqrt{v_{1}^{2}+v_{2}^{2}} \\\)

\($&=\sqrt{(-7)^{2}+(-1)^{2}}\) units

\($&=\sqrt{49+1}\) units

\($&=\sqrt{50}\) units approx 7.07 units

Therefore, the magnitude of the component is \($\sqrt{50}\) units.

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Answer:

h=46

Step-by-step explanation:

Add 18 to both sides

x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:the answer is 3 and -1

Step-by-step explanation:

X=3

And

X=-1

Answer:

Where is the questions picture so I know what I am about to answer

Step-by-step explanation:

I need a pic.

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

I guess it is $105.Not so sure about my answer...

Answer: 8 Nights

Step-by-step explanation:

Cost of a plane ticket to Florida(c) = $1000

cost at the hotel per night (n)

Amount left with Karla after spending on the flight ticket =

$3000-$1000= $2000

To find out how many nights she can stay we should divide the remaining amount she has with (n) = $2000/$250 = 8

Hence Karla can stay for 8 nights

Answer:

y = 340e^0.0427276t ; 908

Step-by-step explanation:

Given that :

t = time in days since study began

Number of bacteria after 11 days = 544

y = number of bacteria at time t

Exponential growth model:

y = ae^rt

Where a = initial amount ; r = Growth rate

y = 544 ; t = 11 ; a = 340

544 = 340*e^11t

544/340 = e^11t

1.6 = e^11t

Take the In of both sides

In(1.6) = 11t

0.4700036 = 11t

t = 0.4700036 / 11

t = 0.0427276

y = 340e^0.0427276t

Number of bacteria after 23 days :

Using the formula above :

t = 23

y = 340e^0.0427276(23)

y = 340 * 2.6717529

y = 908.39600

y = 908

The required formula is \(y = 340e^{0.0427}\)

908 bacteria are there 23 days after the beginning of the study .

Given that,

A certain culture of bacteria has a population of 340.

The population grows according to a continuous exponential growth model. After 11 days, there are 544 bacteria.

We have to find,

Write a formula relating y tot. Use exact expressions to fill in the missing parts of the formula.

How many bacteria are there 23 days after the beginning of the study.

According to the question,

And let y be the number of bacteria at time,

t = time in days since study began

Number of bacteria after 11 days = 544

y = number of bacteria at time t

Then,

Exponential growth model:

\(y = a.e^{rt}\)

Where, a = initial amount ; r = Growth rate

y = 544 ; t = 11 ; a = 340

Then,

\(544 = 340.e^{11t}\\\\\dfrac{544}{340} = e^{11t}\\\\1.6 = e^{11t}\\\\Taking \ log \ on \ both \ sides,\\\\ln(1.6) = 11t\\\\0.47 = 11t \\\\t = \dfrac{0.47}{11}\\\\t = 0.0427\)

The required formula is \(y = 340e^{0.0427}\)

\(y = 340e^{0.0427}\)

Where, t = 23

\(y = 340e^{0.0427276(23)}\\\\y = 340 \times 2.6717529\\\\y = 908.39600\\\\y = 908\)

Therefore, 908 bacteria are there 23 days after the beginning of the study .

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Answer:

Step-by-step explanation:

41.94/6=6.99

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The correct answer will be A

Have a great day

Answer:

Step-by-step explanation:

a)

\(2(x + 3) = x - 4 \\\\ 2x + 6 = x - 4 \\\\ 2x - x = - 4 - 6 \\\\ x = - 10\)

b)

\(4(5x - 2) = 2(9x + 3) \\\\ 20x - 8 = 18x + 6 \\\\ 20x - 18x = 6 + 8 \\\\ 2x = 14 \\\\ x = \frac{14}{2} \\\\\\ x = 7\)

I hope I've helped you.

Answer:

A

Step-by-step explanation:

if it starts at and next is 8 it gos up by 3 each time

Answer:

A

Step-by-step explanation:

5 +3

8 +3

11 +3

14

They are all getting increased by 3

The solution of the given equation are; (x + 8)(x − 9)

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We have been given the quadratic equation as;

x² − x − 72

Solving;

x² − (9-8)x − 72

x² − 9x +8x− 72

The factors are;

(x + 8)(x − 9)

Therefore, the solution of the given equation are; (x + 8)(x − 9)

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