Suppose the store wants to earn a daily profit of $150 from the sale of soccer balls. To earn this profit, what price should the store charge for each soccer ball explain how to solve this problem

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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The total cost of purchasing the number of shirts after the coupon and sales tax are applied is $40.32.

The discount that the coupon offers is 25% and the price of the shirts before discounts is $50.

The price after the discount is:

= 50 x (1 - 25%)

= $37.50

The price including the sales tax:

= 37.50 x (1 + 7.5%)

= $40.32

Rest of the question is:

The coupon discount on a group of shirts that cost $50 is 25%. What would be the total cost of purchasing the number of shirts needed to use your coupon after your coupon is applied and a 7.5% sales tax is charged on the purchase?

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If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

30%

Step-by-step explanation:

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

First, we need to convert the probability of picking a blue shade into a fraction.

= 3/10

Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10

This gives you 30/100

Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.

=30%

Answer: It is 30%, and i got proof right here.

Step-by-step explanation:   I got AN (A) on my test so give the first person all those great rating he needs.

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Step-by-step explanation:

20°+120°+I°=180°

I=40°

using sine rule,

I/sin I=x/sinX

12/sin40=x/sin20

x=12sin20/sin40

x=6.4

using similarly and enlargement,

we have, cw/cp=y/120

8/12=y/120

y=80°

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

13

Step-by-step explanation:

2(5) + 3(3 - 5) + (3)^2

10 + (9 - 15) + 9

19 - 6 = 13

Answer:

A)360

B)180

Step-by-step explanation:

Part-A:

For this question, we don't have to care about what integer they are, we just need to care about the number of integers we are given. considering the question, we understand that we are dealing with permutation .we're given 6 numbers so we want to figure out the permutation of 4 out of 6. the formula which is used for permutation is given by,

\( \displaystyle P(n,r) = \frac{n!}{(n - r)!} \)

where:

we've already sorted out that

substitute:

\( \displaystyle P(6,4) = \frac{6!}{(6 - 4)!} \)

simplify parentheses:

\(\displaystyle P(6,4) = \frac{6!}{2!} \)

simplify division:

\( \rm\displaystyle P(6,4) = \frac{6!}{2!} = \frac{6 \times 5\times 4 \times 3 \times2! }{2!} = \boxed{360}\)

hence,

360 plates of vehicles consisting of 4 different digits can be made out of the integer 4,5,6,7,8,9

Part-B:

to solve this question, we need to know about the divisibility rule of 2 which is A number is divisible by 2 if the last digit is an even number

notice that half the values of the set are even, thus half of our total permutations will be even and thus divisible by 2, since we have already figured out the permutations of 4 digits plate out of 6 i.e 360 therefore 180 of these number will be divisible by 2

Alternate:

[copyright:All credits go to corsaqix ]

so it is a four digit plate. After we choose the last digit, we only need 3 digits, choosing from 5 values left. The answer can be therefore be found by multiplying of possible values for the last digit (3) by the number of ways re-arrange 3 distinct values (3!) by the number of ways to choose 3 values from 5, giving the same answer of 3 x 3! x C(5,3) = 180.

Answer:

Step-by-step explanation:

_ _ _  4  => 5*4*3=60

_ _ _  8  => 5*4*3=60

_ _ _  6  => 5*4*3=60  

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.

Step-by-step explanation:

I took the quiz. I hope this helps :)

Answer:

one equal to 5

Step-by-step explanation:

5x x 66

Answer:

x>-8

Step-by-step explanation:

The value of 40 percent of 20 is 8.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

In this case, the 40 percent of 20 will be:

= 40% × 20

= 40/100 × 20

= 0.4 × 20

= 8

The value is 8.

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Answer:

60 divided by 8

Step-by-step explanation:

60 divided by 8

Answer:

See below.

Step-by-step explanation:

(-4,-1), (3,-2)

The slope is -1/7.

The y-intercept is approximately -1.5.

y=mx+b is the equation for standard slope-intercept form, with m being slope and b being y-intercept.

y=-1/7x-1.5

-hope it helps

Answer:

ok well I usually just add 105, 5 times and I get the answer.

Step-by-step explanation:

105 + 105= 210

210 + 105= 315

315+ 105= 420

420 + 105 = 525

The answer is 525

There is another way to do it ok soo if we multiply 100 x 5 = 500

and 5 x 5 equals 25 and then we add them  together we get 525

Answer:

maybe 20

Step-by-step explanation:

or find it out yourself

Answer:

-x(3x+2)2

Step-by-step explanation:

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Answer:

111,739 square feet

Step-by-step explanation:

Two adjacent sides of the park say x and y are,

x=533feet

y=525feet

A=53º

area=1/2*b*c*sin(A)

111739 feet^2

The required value of \(\sin(\alpha + \beta) = \frac{15\sqrt{15} - 21}{175}$\).

To find \($\sin(\alpha + \beta)$\), we will need to use the trigonometric identity:

\($\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)$\)

We are given that \(\cos(\alpha) = \frac{3}{7}$\) in quadrant IV. Since cosine is positive in quadrant IV, we can draw a reference triangle in quadrant IV with adjacent side 3 and hypotenuse 7. We can use the Pythagorean theorem to find the opposite side:

\($\sin(\alpha) = \frac{\sqrt{7^2-3^2}}{7} = \frac{\sqrt{40}}{7} = \frac{2\sqrt{10}}{7}$\)

We are also given that \(\sin(\beta) = \frac{7}{25}$\) in quadrant II. Since sine is positive in quadrant II, we can draw a reference triangle in quadrant II with opposite side 7 and hypotenuse 25. We can use the Pythagorean theorem to find the adjacent side:

\($\cos(\beta) = -\frac{\sqrt{25^2-7^2}}{25} = -\frac{6\sqrt{6}}{25}$\)

Now we can substitute these values into the formula for \($\sin(\alpha + \beta)$\):

\($\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)$\)

\($= \left(\frac{2\sqrt{10}}{7}\right)\left(-\frac{6\sqrt{6}}{25}\right) + \left(\frac{3}{7}\right)\left(\frac{7}{25}\right)$\)

\($= -\frac{12\sqrt{15}}{175} + \frac{3}{25}$\)

\($= \frac{15\sqrt{15} - 21}{175}$\)

Therefore, \($\sin(\alpha + \beta) = \frac{15\sqrt{15} - 21}{175}$\).

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Answer:

9%

Step-by-step explanation:

(final - initial )/ initial * 100

3.87 / 43 * 100

= 9%

Answer:

m∠A ≈ 39.865°

Step-by-step explanation:

C² = 16² + 15² - 2 × 16 × 15 × cos (97°)

=> C = 23.22708085

sin (97°)/23.22708085 = sin A/15

=> sin A = sin (97°) × 15/23.22708085

=> A = \(sin^{-1}\)(sin (97°) × 15/23.22708085)

=> A ≈ 39.865

Answer:

X=2

Step-by-step explanation:

x

=

−

2

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

5

x

+

3

x

+

12

=

−

3

x

+

3

x

−

4

⇒

8

x

+

12

=

−

4

subtract 12 from both sides.

8

x

+

12

−

12

=

−

4

−

12

⇒

8

x

=

−

16

To solve for x, divide both sides by 8

8

x

8

=

−

16

8

⇒

x

=

−

2

As a check

Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.

left side  

=

(

5

×

−

2

)

+

12

=

−

10

+

12

=

2

right side  

=

−

(

3

×

−

2

)

−

4

=

=

6

−

4

=

2

⇒

x

=

−

2

is the solution

Answer:

b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19

Answer:

32

Step-by-step explanation:

just took it

Answer:

hello dude

x - 9 = - 12

x = 9 -12

x = -3

HAVE A NİCE NİGHT

Step-by-step explanation:

Greetings from Turkey

We have to,

find the required value of x.

Let's start,

→ x - 9 = -12

→ x = -12 + 9

→ x = -3

Thus, -3 is the value of x.

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y yand solve for  x . To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( 6 , 0 )

y-intercept(s):  ( 0 , − 2 )

Use the slope-intercept form  y = m x + b to find the slope  m and y-intercept  b .

Slope: \(\frac{1}{3}\)

graph in pic

(Credit: M a t h w a y)