Divide 3/8 divided by 2/3 and express the answer in the simplest terms.

(i) At a total of 100 Songs the Charges for Company A and Company B will be Equal.

(ii) I would rather suggest to select Company A as the Total Charges to download 150 Songs is $127.5

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable have the form ax + b = 0 and are solved using simple algebraic techniques.

Solution:

Let, Songs Downloaded be x

Total Charges of Company A = 15 + 0.75*x

Total Charges of Company B = 0.9*x

(i) Total Charges by Company A = Total Charges by Company B

15 + 0.75*x = 0.9*x

15 = 0.15*x

x = 100 songs

(ii) Charges by Company A to Download 150 Songs = 15 + 0.75 * 150

= 15 + 112.5 = $127.5

Charges by Company B to Download 150 Somgs = 0.9 * 150 = $135

I would rather suggest to select Company A as the Total Charges to download 150 Songs is $127.5

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Answer:

69.12

Step-by-step explanation:

Answer:

150 canicas en total.....

9514 1404 393

Answer:

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice

Answer:

  total deposits: $35,100

Step-by-step explanation:

You have the value of an annuity earning 5% with payments of $65 a month for 45 years as $131,718.42. You want to know the total value of payments.

12 payments per year of $65 for 45 years will have a total value of ...

  12·65·45 = 35100

Total deposits will be $35,100.

Coefficients are numbers that multiply a variable.

The expression is (c) 6x + 9

The required parameters are:

\(\mathbf{Coefficient = 6}\)

\(\mathbf{Constant = 9}\)

Let the variable be x.

So, the expression with a coefficient and a constant term is:

\(\mathbf{Coefficient \times x + Constant}\)

This gives

\(\mathbf{6 \times x + 9}\)

\(\mathbf{6x + 9}\)

Hence, the expression is (c) \(\mathbf{6x + 9}\)

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Answer:

Solution given:

lowest =0

highest=11

the range in hours spent watching Netflix=

highest-lowest =11-0=

Range is 11.

Answer:

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Multiply the hourly rate by number of hours worked:

M = $7.50h

Answer:

rearrange to get x < -4

Step-by-step explanation:

Answer: 5x - 3

Step-by-step explanation:

10x² - 6x = 2x(5x - 3)

2x(5x-3)/2x = 5x - 3

Cheers

Answer:

5/(8+4+5) = 5/17

Step-by-step explanation:

total has (8 red +4 white+5 blue）= 17

we looking for blue , so is 5.

5/17

The total distance travelled is 1075.91 km.

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity.

45 * (x +12)= 50* 1/5 + 1/2 *x

45x + 540= 10+ 0.5 x

44.5 x = 530

x= 11.91 (neglect the negative sign cause time can't be negative)

So, distance= 45* 23.91 = 1075.91 Km

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About 1,070,000 people live in Country A, while 10,459,000 people live in Country B. The population of Country B is roughly 9389×10³ times larger than that of Country A.

Given that,

About 1,070,000 people live in Country A, while 10,459,000 people live in Country B.

We have to find the population of Country B is roughly how many times larger than that of Country A.

We have to subtract the population of Country B to Country A.

=10,459,000-1,070,000

=9389000

=9389×10³

Therefore, the population of Country B is roughly 9389×10³ times larger than that of Country A.

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Answer:

30.99

Step-by-step explanation:

31 - 0.01 = 30.99

Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

Answer:

it could be D but D gives us 661.63 C gives us 613.07 B gives us 892.165 and A gives us 883.98 so your closes answer is D

Step-by-step explanation:

8.42x109=917.78-253.8=663.98

Answer:

24m^2+50m-14

Step-by-step explanation:

Answer:

The phenotypic ratios are the ratios of visible characteristics. The genotypic ratios are the ratios of gene combinations in the offspring, and these are not always distinguishable in the phenotypes.

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Phenotype is the morphology of a living organism .(the trait you usually observe while looking/tracking the organism)

For an Example:

In the flower of a pea plant there are a pink color(RR) or (Rr) and a white color(rr).

When crossing two hybrid ( with two different letters) pink colors,

P  :     Rr        ×      Rr  

G :      R    r        R    r    

F1 :  RR   Rr    Rr    rr

The phenotype ratio will be  (3 pink : 1 white)

The genotype ratio will be  [1 (RR) : 2 (Rr) : 1 (rr)]..

Hence Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

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Answer: 20/3 square inches

Step-by-step explanation:

Area = length*width

length = 5 in.

width = 4/3 in.

A = 5 * (4/3) = 20/3 in^2

Answer:You will go 9 points the the right and 12 points up and that's the distance between the two points :D

Step-by-step explanation:

Step-by-step explanation:

The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,

x

and

y

are the two numbers and

x

≥

y

, then the correct order should be

x

−

y

.

Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

Given the numbers

7

and

−

11

on the number line, find the distance between the two numbers.

Solution:

Since

7

is...

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

\(\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334\)

Answer:

can u show a diagram

Step-by-step explanation:

Answer:

( C ) 25

Step-by-step explanation:

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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The transformation represents a reflection over the y = × line.

A. (x, y) → (-x, y)

A reflection over the y-axis is a transformation that flips a point or shape across the vertical line y = 0.

This means that points on the right side of the y-axis will be reflected to the left side, and vice versa.

Let's examine each option to determine which one represents a reflection over the y-axis.

A. (x, y) → (-x, y):

This transformation reflects the point across the y-axis.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, 2).

This represents a reflection over the y-axis.

B. (x, y) → (-x, -y):

This transformation not only reflects the point across the y-axis but also flips it vertically.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, -2).

This represents a reflection over the y-axis.

C. (x, y) → (y, x):

This transformation swaps the x and y coordinates of a point, which does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point.

D. (x, y) → (y, -x):

This transformation swaps the x and y coordinates of a point and negates the new x-coordinate.

It does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point in the counterclockwise direction.

Based on the explanations above, both options A and B represent a reflection over the y-axis.

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Answer:

Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.

...

Additional Resources

Round the number 227.18 to the nearest ten.

Round the number 856.861203 to the nearest thousandth.

Round the number 599.495 to the nearest tenth.

There is no shortage of units in this market with a $5 price ceiling and the size of shortage is 0 units.

Given: On this market, the government imposes a $5 price ceiling.

We need to find the size of the shortage in this market.

From the given table, we can see that the quantity demanded for $5 price ceiling is 4 units and the quantity supplied is 8 units.

So, the demand is satisfied and an extra 4 units are also provided.

Therefore, there is no shortage of units in this market a $5 price ceiling and the size of shortage = 0 units.

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Answer:

43

Step-by-step explanation:

3x+14=143

3x=129

x=43