Mike took clothes to the cleaners three times last month.​ First, he brought 4 shirts and 1 pair of slacks and paid ​$15.95. Then he brought 7 ​shirts, 4 pairs of​ slacks, and 1 sports coat and paid ​$49.38. ​Finally, he brought 3 shirts and 1 sports coat and paid ​$15.46. How much was he charged for each​ shirt, each pair of​ slacks, and each sports​ coat? Mike was charged ​$ nothing for each​ shirt, ​$ nothing for each pair of​ slacks, and ​$ nothing for each sports coat.

The correct number line that shows the solution to the compound inequality is given by:

Number Line A.

A compound inequality is an inequality that is composed by multiple conditions.

Then these conditions are related with one of two operations, listed as follows:

In this problem, the compound inequality is given as follows:

3x - 5 > 1 or -2x ≤ -10.

The solutions to the first condition are given as follows:

3x > 6

x > 2.

The solutions to the second condition are given as follows:

2x ≥ 10

x ≥ 5.

The interval of values that is the union of these solutions is given by:

x > 2.

Hence number line A is the solution to the inequality.

The complete problem is given by the image shown at the end of the answer.

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Answer:D

Step-by-step explanation:

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:

Exact: 55.899

Estimate: 56

Step-by-step explanation:

8.176 + 5.802 + 41.921 = 55.899

8.176 ~ 8

5.802 ~ 6

41.921 ~ 42

8 + 6 + 42 = 56

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

The value of \(P$$(2 < x < 10)$\) is 0.5350

As per the Function, \($P(x < x)=1-e^{-m x}$\)

Where \($x \sim E x p(0.2)$\)

Therefore, \($m=0.2$\)

\($$P(2 < x < 10)=P(x < 10)-P(x < 2)$$\)

Applying all data

\(& \mathrm{P}\left(2 < \mathrm{x} < 10=\left(1-e^{0.2 \times 10}\right)-\left(1-e^{0.2 \times 2}\right)\right. \\\)

=0.6703-0.1353=0.5350

The complete question is,

A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be

modelled by the following distribution: X-Exp(0.2)

Find \($P(2 < x < 10)$\).

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We want to simplify

(18x - 25y) + (36x + 66y)

=> 18x - 25y + 36x + 66y

Collect like terms:

18x + 36x - 25y + 66y

54x - 41y

That is the simplified expression

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

1. 7 to the square root of 3

2. negative square root of 3

Step-by-step explanation:

1. simplify 0.7 x 10 square of 3

2. Calculate: you get 7 to the square root of 3

1. simplify -0.125 x 8 to the square root of 3

2. Calcaute: you get negative square root of 3

The factors of the expression 0.7√300 and -0.125√192 will be 7 x √3 and - 1 x √3, respectively.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

0.7√300 and -0.125√192

Simplify the expressions, then we have

0.7√300 and -0.125√192

7√3 and - √3

Factorize the expression, then we have

7 x √3 and - 1 x √3

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The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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Answer:

Terminatng

Step-by-step explanation:

if you divide any number by 0 . the quotient would be 0 .

Answer:

  neither

Step-by-step explanation:

The value of 23/0 is "undefined." It has no decimal expansion.

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

Answer:

Step-by-step explanation:

Answer:

30x+18y

Step-by-step explanation:

12x+18y+18x

combine like terms

30x+18y

Answer:

6 ( 5x + 3y ) did the calculations, just simplified

Answer:

X=60

m<QRS= 90

Step-by-step explanation:

assuming that it all adds up to 180

Add all like terms:

50+10+1/2x=180

1/2x+60=180

-60 -60

1/2x= 120

÷1/2= ÷1/2

x= 60

1. 1/2(60)+10

40

We need to find the range of a function given in graph form. The graph is shown below:

So we need to recall what Range is: the set of y-values that are in fact connected to x-values in our function.

So looking at the image given we realize that the curve that represents such connection does not go further up in the y-axis than the value y = 4.

On the other hand, since the image has branches going down, it seems that all the values for y are represented in that portion of the lower part of the graph.

We can then say that the set of y-values of the Range is defined as:

(in set-builder notation form) ;

which reads as:

Range = the set of all the y-values that are less than or equal to 4.

Answer:

5.   14 1/2 inches,  14.6 inches,   176 inches

7.   37.5%

Repent while there’s still time. Love while you still can. Give till there’s nothing left. Serve with all you’ve got. Go while you’re still able. Share all that you have. Follow hard after God. Live with no regrets. Time is of the essence. If we only have today, there’s still time. Don’t miss this time. Look yourself in the mirror and ask your self - If I died today, would the Lord judge me worthy of eternal life? If the answer is no, then ask him for forgivness. As long as you are really sorry, he will forgive you. If you want to talk, I am here. If you need time alone, then I will leave you alone. If you need a Bible, I can get you one. Follow your heart and never stop doing good. Thank you for reading this, and have a great day. May the good Lord bless you, your family, and the world.

"The fear of the LORD is the beginning of wisdom, and knowledge of the Holy One is understanding." - Proverbs 9:10

Answer:

Step-by-step explanation:

simple interest=prt

p=principle amount

r=rate

t=time

here p=$2500

r=5 %=0.05

t=2 years

simple interest=2500×2×0.05=$250

The simple interest on the loan of $2500 for 2 years at 5% is $250

The formula for calculating simple interest is expressed as;

I = PRT/100

Such that the parameters of the formula are;

Now, substitute the values, we get;

Simple interest = 2500 × 5 × 2/100

Multiply the values

Simple interest =25, 000/100

Simple interest =$250

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If the lines QS and TV are parallel cut by a transversal line, we can deduce that the angles mSRU = mQRP because they are vertical angles. This means that they are opposite to each other and formed by two intersecting lines, hence, they are congruent.

In conclusion:

mSRU = mQRP = 56°

Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

three shapes. three areas to find. three areas to add together to find the whole area. gotcha.

Step-by-step explanation:

length is 7 cm and width is 4 cm, so the area is 28 square cm

width is 4 cm and length is 10 cm, so the area is 40 square cm

Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.

base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = 12 square cm

With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).

Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.

28 + 40 + 12

= 80 square cm (ANSWER)

Answer: I need a picture to find out ;-;

Step-by-step explanation:

Answer:

if youre asking for the equation its AB=CD

Step-by-step explanation:

If youre not, you'll need to attach a file or smth :'D

Answer:

Step-by-step explanation:

15

The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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