A resale store is having a sale on DVDs and CDs. DVDs cost $7 and CDs cost $4. On one day, the store made $211 from DVD and CD sales and sold a total of 40 items. Write a system of equations, then solve to find how many DVDs and CDs were sold

Answer:
Leo shared 112 tom thumb drops, 220 micro mints, and 164 tiny tots. He has 140 tom thumb drops, 275 micro mints, and 205 tiny tots remaining.

Hope this helps !! :D

Answer:

Sweets shared

> 112

> 220

> 164

Sweets remaining

> 140

> 275

> 205

If the baker doubles the number of cups of batter used, b, you would expect the number of pancakes made, p, to double as well.

Explanation :Doubling the cups of batter used will increase the amount of batter available for making pancakes. Since each pancake requires a specific amount of batter, doubling the amount of batter available will mean that you can make twice as many pancakes as before. Therefore, you would expect the number of pancakes made, p, to double as well.

In order to make a pancake, which is a flat cake eaten for breakfast, you pour batter into a heated pan and fry it on both sides. Many individuals enjoy drizzling maple syrup over their pancakes before eating.

Although pancakes can be savoury, in the US they are typically served as a sweet morning item. The majority of pancakes are circular in shape, made with a batter of flour, eggs, milk, and butter, and cooked on a griddle that has been buttered. Pancakes have a rich history that dates at least to ancient Greece, and they may be found in many different forms around the world.

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The angles in each of the four quadrants with a common reference to the acute angle 41° are as follows;

It follows from the task content that the angles which have a common reference to the angle 41° in each quadrant he determined.

On this note, the angles can be determined from custom formulas for reference angles in each quadrant as follows;

Ultimately, the angles in each quadrant with a common reference alongside 41° are; 139°, 221° and 319°.

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Answer:

Step-by-step explanation:

The roots are:

The equation is:

The number of significant figures is:

c. 3

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 6.658, for instance, has four significant digits.

To determine the number of significant figures in the result of a sum, we need to consider the least number of significant figures present in the numbers being added.

In the given sum, we have 8.5201 and 1.93.

The number 8.5201 has five significant figures, and the number 1.93 has three significant figures.

When we add these two numbers, the result is 10.4501.

Since 1.93 has three significant figures, the result of the sum should also have three significant figures.

Therefore, the number of significant figures is:

c. 3

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The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

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Answer:

Step-by-step explanation:

You should plot an arrow, with open-circle, starting in the number 9. See the image attached.

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use of follow symbols: \(\leq\) (less than or equal to), \(\geq\) (greater than or equal to), < (less than) and > (greater than).

The solutions for inequalities can be given by: graph in a number line or numbers. Your question requests a graph solution, but it is necessary to find a number solution to plot it in the graph.

         \(x+3<-6\\\\ x<-3-6\\ x<-9\)

       See the attached image. For graph solution, you should use the open-circle because your number solution use the symbol less than (<).

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The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%

(A) Using the given information, we can identify the following values:

P = $2,000 (the present value or initial deposit)

r = 4.5% (the annual percentage rate)

n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)

(B) To find the future value of the account balance after 9 years, we can use the formula:

\(S(t) = P(1 + r/n)^{nt}\)

where t is the time in years. Substituting the given values:

\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)

= $2,000(1.505016)

= $2985.17

Therefore, Monique will have $$2985.17 in the account in 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:

\(APY = (1 + \frac{r}{n})^n - 1\)

Substituting the given values:

\(APY = (1 + 0.045/2)^2 - 1\)

= 0.0445 or 4.45%

Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.

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Answer:

3x + 1

Step-by-step explanation:

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Answer:

La base salarial de cada trabajador es de $ 425

Step-by-step explanation:

Aquí queremos calcular la base salarial de cada trabajador

Antes del incremento, sea la base salarial $ x

Entonces, sin el incremento, lo que ganarán los 3 es x + x + x = 3x

Con el incremento, cada uno ganará 3 (x + 50)

Esto es lo que es igual a 1425 Así; 3 (x + 50) = 1425

x + 50 = 1425/3

x + 50 = 475

x = 475 - 50

x = 425

Answer:

are this the answers?  

Step-by-step explanation:

The value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.

It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.

For the first problem, the line GE, which is the diameter of the circle has two angles over it (x-3) degree and (12x-25) degrees.

For the diameter GE the sum of these two angle will be equal to 180 degrees. Thus,

\((x-3)+(12x-25)=180\\x-3+12x-25=180\\13x-28=180\\13x=180+28\\x=\dfrac{208}{13}\\x=16^o\)

The value of mDE will be equal to (12x-25) as it is verticle angle of mGF. Thus,

\(arcDE=(12x-25)\\arcDE=(12(16)-25)\\arcDE=167^o\)

Similarly the value of mEF

\(arcEF=(x-3)\\arcEF=(16-3)\\arcEF=13^o\)

Let the radius of the circle is R. Then the measure of arc DFG is equal to the sum of areDEF and arc GF. Thus,

\(arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R \angle GHF}{360}\\arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R (167^o)}{360}\\arcDFG=6.056R\)

For the second problem, the angle MN and QO are equal due to the vertical angle property. Therefore,

\((10x-45)=(6x-1)\\10x-6x=-1+45\\4x=44\\x=11\)

The value of mMN is,

\(MN=(10x-45)\\MN=(10(11)-45)\\MN=65^o\)

The value of NP using the property of straight line for line segment MP can be given as,

\(NP=180-MN\\NP=180-65\\NP=115^o\)

Thus, the value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

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This ratio shows us the scale factor

1) Suppose we have an original polygon that has the following length: 4" and this polygon has been dilated with a scale factor k=2.

2) Then the polygon will have their lengths equal to 8" and that statement refers to the ratio:

Hence, this ratio shows us the scale factor used in this Dilation. Note that since it was greater than 1, it means an enlargement, lesser than 1: the dilated figure has been shrunk.

P

OQ = 4S - 10

OP = 23

PQ = 1

Equation

OQ = OP + PQ

Substitution

4S - 10 = 23 - 1

Simplification

4S = 22 + 10

4S = 32

S = 32/4

S = 8

Determine OP

OQ = 4(8) - 10

OQ = 32 - 10

OQ = 22

Answer:

y = −3x − 23

Step-by-step explanation:

The equation of the line in the slope-intercept form is y= x/3 + 6.

The slope of the perpendicular line is negative inverse: m = −3.

So, the equation of the perpendicular line is y = −3x + a.

To find a, we use the fact that the line should pass through the given point:

−2 = (−3) ⋅ (−7) + a.

Thus, a = −23.

Therefore, the equation of the line is y = −3x − 23.

Answer: y =−3x − 23

The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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Answer:

 (4.5, 6)

Step-by-step explanation:

The distance covered is proportional to the rate, so the distance from A to C compared to the distance from B to C will have the same proportion as Phillip's and Bruce's rates.

__

setup

 (C -A)/(B -C) = 7/5 . . . . . distance is proportional to rates

solution

 5(C -A) = 7(B -C) . . . . multiply by 5(B -C)

 12C = 7B +5A . . . . . add 7C+5A

 C = (7B +5A)/12 = (7(7, 6) +5(1, 6))/12 = (49+5, 42+30)/12 = (4.5, 6)

Phillip and Bruce will meet at C(4.5, 6).

Answer:

Step-by-step explanation:

Answer:

2+7=9 so 9x9=81

Step-by-step explanation:

The probability of  five card poker hand of the same suit is equal to  0.00198 ( five decimal places).

As given in the question,

Total number of ways 5 cards can be selected from a deck of 52 cards is equal to

=⁵²C₅

= ( 52!) / ( 52 -5)! 5!

= ( 52 × 51 × 50 ×  49 × 48 × 47! ) / ( 47! ) ( 5 × 4 × 3 × 2 × 1)

=  ( 52 × 51 × 50 ×  49 × 48) / (120)

= 2598960  

Number of suits = 4

Number of cards in one suit = 13

⁴C₁ represents selecting one suit out of 4 different suits .

¹³C₅ represents selecting 5 cards out of 13 cards of the same suit.

Number of ways 5-card poker hand have five cards of the same suit  is given by

Number of favourable outcomes

= ⁴C₁ × ¹³C₅

= 4 × 1287

= 5148

Probability

= ( Favourable number of outcomes) / ( Total number of outcomes)

Probability that a five-card poker hand contains a flush

= 5148 / 2598960

= 0.00198 ( round off up to five decimal places)

Therefore, the probability of  five card poker hand of the same suit is equal to  0.00198 ( five decimal places).

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eorder the terms:

12 = -44 + 5x + -13x

Combine like terms: 5x + -13x = -8x

12 = -44 + -8x

Solving

12 = -44 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.

12 + 8x = -44 + -8x + 8x

Combine like terms: -8x + 8x = 0

12 + 8x = -44 + 0

12 + 8x = -44

Add '-12' to each side of the equation.

12 + -12 + 8x = -44 + -12

Combine like terms: 12 + -12 = 0

0 + 8x = -44 + -12

8x = -44 + -12

Combine like terms: -44 + -12 = -56

8x = -56

Divide each side by '8'.

x = -7

Simplifying

x = -7

Answer:

SP = 24

Step-by-step explanation:

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:        0= negative 6

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

We can see why this is true by decomposing and rearranging the parallelograms into rectangles. Notice that the side lengths of each rectangle are the base and height of the parallelogram. Even though the two rectangles have different side lengths, the products of the side lengths are equal, so they have the same area!

The new variance is 0.0625 / n

We can use the following formula to calculate the variance of a data set

variance = (sum of (x - mean)^2) / (number of data points)

where x is a data point and mean is the mean of the data set.

If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows

standard deviation = square root of variance = sqrt(0.35) = 0.59

Now, if the price increases by 25 cents a box, the new mean cost will be

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.

sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n

where n is the number of data points.

Therefore, the new variance can be calculated as

new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n

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Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5