En Vogue Menswear ordered short-sleeve shirts for $23.00 each and long-sleeve shirts for $28.50 each from Hugo Boss. If the total order amounted to $9,862.50 for 375 shirts, how many of each shirt was ordered?

hi

f(x) = -5x – 3,

then f(-6) =  -5 (-6) -3

               =   -11 -3

               = -14

Answers to both the given expressions are the same that is 25 and both answers are positive.

So,

Similarly,

Hence, we can say that the answers to both the expressions are the same and both have positive answers.

Therefore, the answers to both the given expressions are the same that is 25 and both answers are positive.

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The relation that is a function is relation (b)

The ordered pairs in the option represent the given parameters

For a relation (i.e. the ordered pairs) to be a function, the following must be true:

Each y value on the ordered pair must have exactly one x value

i.e. no x value must point to the different y value

Having said that the relation that is a function is relation (b)

Hence, the the relation that is a function is relation (b)2

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The solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )

Given,

The equation: m + ( ¼ ) < -1 ( 2/5 )

We have to solve this:

m + ( ¼ ) < -1 ( 2/5 )

Subtract (1/4) from both sides:

That is,

m + ( ¼ ) – ( ¼ ) < -1 ( 2/5 ) – ( ¼ )

Here, ( ¼ ) – ( ¼ ) becomes 0.

Then,

m + 0 < -1 ( 2/5 ) – ( ¼ )

m < -1 ( 18-5 / 20 )

m < -1 ( 13/20 )

That is, the solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )

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Answer:

Step-by-step explanation:

Answer:

IV i think

Step-by-step explanation:

Step-by-step explanation:

at the beginning it is in quadrant III.

that means in the bottom left quadrant (where all x and all y are negative).

the reflection over the x-axis brings it up into quadrant II (upper left quadrant).

the line y = x is the line that goes like a 45° diagonal from the bottom left to the top right.

when reflecting our figure over this line, it brings it from quadrant II into quadrant IV (the bottom right quadrant).

and now, a 90° clockwise rotation moves it by one quadrant in clockwise direction. that brings it back into quadrant III.

According to the given statement

Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268)

Total Profit is the sum of the following amounts (before taxes): I the amount received by Grantee pursuant to Issuer's repurchase of the Option (or any portion thereof) pursuant to Section 7; (x) the amount received by Grantee pursuant to Issuer's repurchase of Option Shares pursuant to Section 7 less (y) the Grantee's purchase price for such Option Shares; and (x) the net cash amounts received by Grantee pursuant.

According to the given value;

Number of Number of MP3 = X

Number of Number of DVD,= (126-x)

so

Profit from MP3 = 35 x

Profit from DVD = 18 (126-x)

Total = 35X+18 (126-x)

= 35x +2268-18x

= (7x+2268)

Hence,Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268).

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Answer:

the answer is no relation

Answer:

13

Step-by-step explanation:

salu grt it

The inequality that represents the possible height (h) of the box is h ≤ 20

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the box. The base measures 15 inches by 20 inches and the height cannot exceed 55 inches. Hence:

height + length + width ≤ 55

h + 20 + 15 ≤ 55

h ≤ 20

The inequality that represents the possible height (h) of the box is h ≤ 20

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Answer: In ALMN, l= 97 cm,

                             m = 52 cm,

                             ZN=39°,

                             ZL= 66°

Step-by-step explanation:

Given data,

In ALMN, l= 97 cm, m = 52 cm and ZN=39°.

The law of cosines can be used to find the missing side.

                 n²  = m² +n² -2ml·cos(L)

                n²  = [tex]52^{2}[/tex] + [tex]97^{2}[/tex] - 2(52)(97). cos (39°)

                 n² = 9409 + 2704 - 2(52)(97). cos (39°)

                  n² = 12113 - 2(52)(97). cos (39°)

                  n² = 12113 - 10088 cos (39°)                     (eq - 1)

    So, that   cos (39°) = 0.777

Substitute  cos (39°) value in this equation 1              

So,

We can write,

                   n² = 12113 - 10088* 0.777

                   n² = 12113 - 7838.3

                    n²  = 4274.62

                    n  = √4274.62

                     n = 65.38 ≅ 66

Therefore,

           In ALMN, l= 97 cm,

                             m = 52 cm,

                             ZN=39°,

                             ZL= 66°    

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Answer:

Step-by-step explanation:

Given that

To find

So according the question

We know that,

Combination, also known as  [tex]\;^nC_r[/tex], is the process of choosing r objects from a group of n objects so that the order of the objects is irrelevant. The following is the formula to find combinations of r objects from n objects:

Now, put the value of n and r in  [tex]\;^nC_r[/tex] formula.

So, we get

             [tex]\;^nC_r = \frac{n!}{r!(n-r)!}[/tex]

             [tex]\;^{10}C_5 = \frac{10!}{5!(10-5)!}[/tex]

            [tex]= \frac{10\times9\times8\times7\times6\times5!}{5! \;\;5!}[/tex]

            [tex]= \frac{10\times9\times8\times7\times6}{5\times4\times3\times2\times1}[/tex]

            [tex]= {\times9\times2\times7\times2}[/tex]

            [tex]= {252}[/tex]

Answer:

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Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

The cups of water needed to fill one container is 1 1/8. The expression is 1 1/8 cups

The container of water needed to fill one cup is 8/9. The division expression is  2/3 ÷ 3/4

A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

In order to determine the cups of water that is needed to fill one container, divide the fraction of a cup that is needed to fill 2/3 of the container by 2/3.

Water needed to fill one container = 3/4 ÷ 2/3

3/4 x 3/2 = 9/8 = 1 1/8 cups

In order to determine the container that is needed to fill one cup, divide the fraction of a container that is needed to fill 2/3 of the container by 3/4.

Water needed to fill one cup = 2/3 ÷ 3/4

2/3 x 4/3 = 8/9

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Answer:

Subtract 7 (from both sides)

Step-by-step explanation:

The goal is to get x by itself.  The first step in this equation to accomplish that would be to get the term having the variable on one side and the constant(s) on the other.

5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by

distributive property of multiplication.

As given in the question,

Given number : 5 × (10 + 7) = (5 × 10) + (5 ×7)

Here whole number 5 is first multiplied to addend 10 and then whole number 5 is multiplied to addend 7.

Then, their products are added.

This is represented by property of  Distributive Property of Multiplication.

Therefore,5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by distributive property of multiplication.

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Answer:

Distributive Property of Multiplication

Step-by-step explanation:

The Distributive Property of Multiplication states that multiplying a number by a group of numbers added together is the same as multiplying each number separately:

[tex]\large\text{$a(b + c) = ab + ac$}[/tex]

Therefore, applying the Distributive Property of Multiplication to the given expression:

⇒ 5 × (10 + 7) = 5(10) + 5(7)

--------------------------------------------------------------------------------------------

Here are the definitions of the other properties for information purposes:

Associative Property of Multiplication

The grouping of numbers by parentheses in a different way does not affect their product.

[tex]\large\text{$(a \times b) \times c = a \times (b \times c) = (a \times c) \times b$}[/tex]

Identity Property of Multiplication

This property is also known as the identity property of one.

Multiplying any number by 1 does not change the number, i.e. the number keeps its identity.

[tex]\large\text{$a \times 1 = a = 1 \times a$}[/tex]

Commutative Property of Multiplication

Changing the order or position of two numbers does not change the end result.

[tex]\large\text{$a \times b = b \times a$}[/tex]

The amount in the account after 60 years is $719.

His saving has not tripled after 60 years.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

We have,

Principal = $395

Rate = 1%

Number of years = 60

The amount compounded quarterly is given by:

A = P [ 1 + (R/4)/100 [tex]]^{4n}[/tex]

P = principal

R = rate

n = number of years

A = 395 [ 1 + 1/400 [tex]]^{4 \times{60}}[/tex]

A = 395 [ 1 + 1/400 [tex]]^{240}[/tex]

A = 395 [ 1 + 0.0025 [tex]]^{240}[/tex]

A = 395 [ 1.0025 [tex]]^{240}[/tex]

A = 395 x 1.8207549953165

A = 719.19625

A = $719

Thus the amount in the account after 60 years is $719.

His saving has not tripled after 60 years.

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Answer:

0.6

Step-by-step explanation:

0.24 divided by 0.4 equals to 0.6.

[tex]0.24 \div 0.4 = 0.6[/tex]

Answer:

0.6

Step-by-step explanation:

Answer:

0.11578947368 mil/min

Step-by-step explanation:

11/95=0.11578947368

Answer:

8.6 miles

Step-by-step explanation:

95 mins divided by 11 miles= amount of minutes per mile

The LARGEST interior angle of the triangle has a measure of 92 degrees.

The sum of the interior angle of a triangle is 180 degrees.

Given the data in the question;

Let x represent the measure of the first two angles.

Since they have same measurements.

Since the sum of the interior angle of a triangle is 180 degrees.

m∠1 + m∠2 + m∠3 = 180°

x + x + x+48 = 180

3x + 48 = 180

3x = 180 - 48

3x = 132

x = 132/3

x = 44°

Measure of the largest angle will be;

Measure of angle 3 = x + 48 = 44 + 48 = 92°

Therefore the LARGEST interior angle of the triangle has a measure of 92 degrees.

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If 114 kids were seated in the stall, just 21% of the seats were filled.

If 117 youngsters were seated in the circles, then yes, more than 60% of the seats were filled.

A third of the kids were seated in the stalls.

if there are 117 kids who can fit in the stalls.

Given that 3/4 of the children had chairs in the stall and x children, we have:

3/4*x = 3/4x.

There were 117 kids in the 3/4 portion.

= 3/4 of x = 117

= 3x/4 = 117

3x =117 x 4

3x = 468

x = 156 kids overall.

39 kids sat in the circle, compared to 117 in the stalls.

The number of adults to children was 5:2, which equals 5+2 to 7.

Use the ratio of children to represent as y and the total number of individuals to determine. So, here we are

2/7 of y = 156

2y/7 = 156

2y = 156x7

2y= 1092

y = 546

In all, 546 persons are present, and 546 of the 2600 seats are occupied by them. We now have:

546 / 2600 = 0.21 = 21%.

If there were 117 kids in the circle, there would be 117 x 4 = 468 kids (total number of children)

Consequently, considering the ratio: 2/7 of y = 468 = 2y = 468x7

2y = 3276

y= 1,638

There are therefore 1,638 individuals present in all, and 1,638 of the 2600 seats are occupied by them. We now have:

1638 / 2600 = 0.63 = 63%.

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Using the mathematical operation of multiplication, the value, 58000Thousands = 58 million.

Mathematical operations are the ways mathematical expressions and values can be manipulated.

The basic mathematical operations include addition, subtraction, division, and multiplication.

58000Thousands converted into millions

= 58,000,000 (58,000 x 1000)

= 58 million

Thus, using the mathematical operation of multiplication, the value, 58000Thousands = 58 million.

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Answer:

Initial temp is 20 degrees C

Function shows decay

Temp changes by 97% every minute

Step-by-step explanation:

The temperature as a function of time is:

C(t)=20(0.97)[tex]t^{2}[/tex]

when t = 0, C(0) = 20(0.97)0, or -20(1) = 20C

The temperature changes by 0.97, or 97% every minute.

Because food grows more quickly in the hills when exposed to heat and rain rather than sunlight all day. Then for 1 sheep 1 bushel is required in the hills.

The practice or science of organizing and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

Given that a remote agricultural nation is divided into two distinct geographic areas: a lowland plain and an upland of rough hills. A farmer can grow 10 bushels of grain or pasture 10 sheep on one unit of land on the plain. A farmer in the hills can pasture 4 sheep or grow 2 bushels of grain on one unit of land.

As opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.

For uphills = 10 sheeps = 10 bushels

For uphills = 1 sheeps = 1 bushels

For down plain = 4 sheeps = 2 bushels

For down plain = 1 sheeps = (1 / 2 ) bushels

Therefore, then for 1 sheep 1 bushel is required in the hills.

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Answer:

Step-by-step explanation:

Step 1: Define

Point (2, 8)

Point (-6, -8)

Substitute in points [SF]:    m= -8-8/-6-2            

[Fraction] Subtract:    m=-16/-8                          

[Fraction] Divide:        m=2

The slope of the line joining points (2, 8) and (-6, -8) is 2.

A straight line is a line plotted on the Cartesian plane. The line is generally written in the form y = mx + c, where m is the slope and c is the intercept of the straight line. The slope of the line can be obtained by using many formulae but if two points are given then the following formula is used:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex].

The given points are (2, 8) and (-6, -8).

So, [tex]x_1 = 2, y_1 = 8, x_2 = -6,[/tex] and [tex]y_2 = -8[/tex].

The formula to find the slope of the straight line is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

   [tex]= \dfrac{-8-8}{-6-2} \\= \dfrac{-16}{-8}\\= \dfrac{16}{8}\\= 2[/tex]

Therefore, the slope of the given line is 2.

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The complete question is as follows:

Use the formula m = [tex]\dfrac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope of the line joining points (2, 8) and (-6, -8).

For the function f ( x ) = – 2 x + 3, the value of f ( 3 ) – f ( 4 ) will be 2

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given,

f ( x ) = – 2 x + 3

f(3) = -2(3) + 3

= -6 + 3

f(3) = -3

f(4) = -2(4) + 3

= -8 + 3

= -5

f ( 3 ) – f ( 4 ) = -3 + 5

= 2

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Answer:

Approximately [tex]36^{\circ}[/tex], assuming that the tree is upright.

Step-by-step explanation:

Refer to the diagram attached. The upright tree and its shadow are in a right triangle. In this right triangle, the angle of elevation of the sun would be the angle adjacent to the shadow of this tree. At the same time, this angle would be opposite to the side representing the tree. Thus, the tangent of this angle could be represented as:

[tex]\begin{aligned}\tan(\text{angle of elevation}) &= \frac{\text{opposite}}{\text{adjacent}} \\ &= \frac{10\; \text{yard}}{14\; \text{yard}} \\ &= \frac{5}{7}\end{aligned}[/tex].

Take the arctangent of this value to find the measure of this angle:

[tex]\begin{aligned} (\text{angle of elevation}) &= \arctan(\tan(\text{angle of elevation})) \\ &= \arctan\left(\frac{5}{7}\right) \\ &\approx 0.620 \times \frac{360^{\circ}}{2\, \pi} \\ &\approx 36^{\circ}\end{aligned}[/tex].

Thus, the angle of elevation of the sun at this moment would be approximately [tex]36^{\circ}[/tex].

Answer: 10$

Step-by-step explanation: 15 divided by 3 is 5. 5 times 2 is 10. Therefore, the answer is 10 $

The value of the ERA is the 3.75.

According to the statement

We have to find that the value of the ERA.

So, For this purpose, we know that the

ERA is the number which represents the average number of earned runs given up by the pitcher per nine innings.

From the given information:

First, we are given the formula E * i = 9 * r.

Second, we are asked to resolve for E. If i doesn't equal zero, then we are able to divide both side of this equation by i. (Note that i = the quantity of innings pitched, which isn't zero.) We then have the equation E = (9 * r) / i.

Third, we are given some numerical values for our variables, and asked to use this equation to unravel for E.

Substituting r = 15 (earned runs allowed) and that i = 36 (innings pitched) into the equation and that we have

E = (9 * 15) / 36 = 3.75  (rounded to the closest hundredth)

So, The value of the ERA is the 3.75.

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