Miguels coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Miguel $5.95 per pound, and type B coffee costs $4.65 per pound. This months blend used three times as many pounds of type B coffee as type A, for a total cost of $796.00. How many pounds of type A coffee were used?

The mean using sigma notation is $2.4

The list of costs per cup are given as:

$2.85, $2.15, $1.95, $3.00, $2.05 and $2.40

The mean using sigma notation is calculated as:

\(\bar x = \frac{\sum x}{n}\)

This gives

\(\bar x\) = ($2.85 + $2.15 + $1.95 + $3.00 + $2.05 + $2.40)/6

Evaluate the sum

\(\bar x\) = $14.4/6

Evaluate the quotient

\(\bar x\) = $2.4

Hence, the mean using sigma notation is $2.4

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Answer:

x = 4

Step-by-step explanation:

The two angles labeled on the diagram are alternate exterior angles and by the Alternate Exterior Angles Theorem, they are congruent. So we can set up an equation like this to solve for x.

2x + 19 = x + 23

x = 4

The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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Answer:

100

Step-by-step explanation:

Forming algebraic equations and solving:

Let the number of boys originally  at the stop = 'x'

Let the number of girls originally at the stop = 'y'

25  girls get on the first bus.

⇒ The number of girls now at the stop = y -25

Ratio of boys to girls:

        \(\sf \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------\)(I)

15 boys get on the second bus.

Now, the number of boys at the stop = x - 15

Number of girls at the stop = y - 25

Ratio of boys to girls,

     \(\sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\\)

             x = y -25 + 15

             x = y - 10

Plugin x = y - 10 in equation (I)

          2*(y-10) = 3y -75

          2y - 20  = 3y -75

                -20 = 3y - 75 - 2y

                -20 = y -75

         -20 +75 = y

                 \(\sf \boxed{\bf y = 55}\)

Plugin y = 55 in equation (I)

       x = 55 -10

        \(\sf \boxed{\bf x = 45}\)

Number of students originally at the stop = x + y

                                                                     = 55 + 45

                                                                     = 100

where the question??????????????

Answer:

b. 10 - 61

Step-by-step explanation:

10 + 61 is 71

We need to change the addition sign to subtraction.

10 -  61= -51

We need to find an equation that is equal to -51.

a. -10 +61

That equals 51, which is not 71, which means it is not letter a.

b. 10 - 61

That equals -51, which is not 71, which means it is not letter b.

c. -10 - 61

That equals -71, which is not 71, which means it is not letter c.

d. 6- 107

That equals -101, which is not 71, which means it is not letter d.

Answer:-(-1,026/3

Step-by-step explanation:

The length of m is 15.6 cm.

A point where two lines meet produces an angle.

The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.

Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.

By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.

The limbs and the vertex are the two main parts of an angle.

The common terminal of the two beams is the shared vertex.

113/7.5

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Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

a). $10.50

b). $15.75

c). 2 POUNDS

d). 3 POUNDS

Step-by-step explanation:

Answer of  option (a)=$10.50 , (b)=$15.75 , (c)=2 pound , (d)=3 pound.

Cost is an amount to be spent to buy something or obtain something.

Given that,

The cost for one pound of candies is $3.50,

(a)  The coast For 3 pounds of candies = 3.50×3=10.50

(b) The coast For 4.5 pounds of candies = 3.50×4.50=15.75

(c) For $3.50 ,1 pound candies can be bought, so for $7 , 2 pound candies can be bought (Since 3.50×2=7)

(d) For 3.50 , 1 pound candies can be bought, so for $10.50 , 3 pound candies can be bought (Since 3.50×2=7)

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Answer:

I think the answer is 100

Answer:

\(100\)

Step-by-step explanation:

1. Simplify 6 + 4 to 10.

\(52 + 4 \times (10 + 2)\)

2. Simplify 10 + 2 to 12.

\(52 + 4 \times 12\)

3. Simplify 4 × 12 to 48.

\(48 + 52\)

5. Simplify.

\(100\)

therefor, the answer is 100.

Answer:

the number is 40

Step-by-step explanation:

A number decreased by 20 is 10 less than twice the number

10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

We know

\(\boxed{\sf cos(180-\Theta)=-cos\Theta}\)

Now

\(\\ \sf{:}\!\!\implies cos150\)

\(\\ \sf{:}\!\!\implies cos(180-30)\)

\(\\ \sf{:}\!\!\implies -cos30\)

or

\(\\ \sf{:}\!\!\implies cos(-30°)\)

Option C

Step-by-step explanation:

800 in total.

555 health club members.

430 smokers.

320 health club members (that means out of the total of 555) were smokers.

that means that

555 - 320 = 235 health club members were not smokers.

and out of the 430 smokers 320 were also health club members.

that means that

430 - 320 = 110 smokers were not health club members.

the question how many were health club members or smokers means how many people were either health club members or smokers.

so, we need to combine the sets of health club members and smokers.

the number of elements in the resulting set is not just the sum of elements of both sets, because some elements are in both sets and would be counted twice.

therefore, we have a few alternatives :

1. add both sets and then subtract the common part (people being in both sets), as this removes the double counting :

555 + 430 - 320 = 665

2. start with the common part (people that are in both sets) and add the extra people in both sets (health club members that do not smoke, and smokers that are not health club members) :

320 + 235 + 110 = 665

3. start with one of the full sets (e.g. all health club members) and add the extra people of the other set (all smokers that are not also health club members) :

555 + 110 = 665

or all smokers plus all health club members that were not smokers :

430 + 235 = 665

as you can see, as expected, the answer is always the same :

out of the 800 nurses 665 were health club members or smokers.

Answer:

19/18

Step-by-step explanation:

substitute the value of m(11/6) in m-7/9

which is equal to 11/6 -7/9 =19/18

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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Answer:

13.2%

Step-by-step explanation:

Step-by-step explanation:

13.2% chctxtxycfyyfgy

Answer:

0,4

Step-by-step explanation:

1. 2/5=0,4; 6/15=0,4; 8/20=0,4. It means, the constant of proportionality is 0,4.

2. if the constant value is 0,4, then x:1=0.4 ⇒ x=0,4

Answer:

33 and 147

Step-by-step explanation:

it im wrong tell me i will redo it i dont see answer choices

Answer:

1/4

Step-by-step explanation:

Given the fraction : 1/4

Converting to decimal ;

1 / 4 = 0.25

Converting 0.25 to fraction :

0.25 is equivalent = 25 / 100

Reducing 25 / 100

Divide both numerator and denominator by 25

25 / 100 = 1 / 4

Hence, the Fraction equivalent of 0.25 is 1 /4

Number of values after the decimal

Fraction equivalent to 0.25

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Given the expression;

Step 1:

Step 2:

Step 3:

The solution is;

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{1}x + 8\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is 1 and that it passes through (-10 , 4)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-10)}) \implies y -4= 1 (x +10) \\\\\\ y-4=x+10\implies {\LARGE \begin{array}{llll} y=x+14 \end{array}}\)

Answer:

Step-by-step explanation:

$499.99 - 15% will give your answers

Answer:

424.99

Step-by-step explanation:

Answer:

$650.  This was the original price.

Step-by-step explanation:

Let p represent the original price.

The following expression calculates the value of p:  (1 - 0.38)p = $403.  Note that '1' indicates full price and that '0.38' indicates a 38% discount.

(1 - 0.38)p = $403 simplifies to (0.62)p; = $403.

Dividing both sides by 0.62 yields $650.  This was the original price.

Answer:

$650

Step-by-step explanation:

Line up $ with $ and % with % then cross multiply

$403 represents ........100% full price -38% discounted  = 62%

$ x amount of the original price represents .........................100%

x*62 = 403*100, cross multiply

x = (403*100)/62, divide both sides by 62

x = $650

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Area of the rectangle =\(12x^2+74x+44\)

Degree is 2 and it is a trinomial

To find out the area we multiplied two binomials . It demonstrate the closure property

Given :

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Area of the rectangle is length times width

length is 6x+4  and width is 2x+11

We multiply it to find the area

\(Area =(6x+4)(2x+11)\\Area = 6x\cdot \:2x+6x\cdot \:11+4\cdot \:2x+4\cdot \:11\\combine \; like \; terms\\Area =12x^2+74x+44\)

Expression for the area of the rectangle is \(12x^2+74x+44\)

Degree is the highest exponent

In that expression the highest exponent is 2 and it has three terms

Degree is 2   and it is a trinomial expression

Closure property says that if an operation produces another polynomial then the polynomial will be closed under operation

To find out the area we multiplied two binomials

\(\left(6x+4\right)\left(2x+11\right)\)

It demonstrate the closure property

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A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Area of the rectangle =

The Degree is 2 and it is a trinomial

To find out the area we multiplied two binomials. It demonstrates the closure of property

Given :

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

The Area of the rectangle is length times width

length is 6x+4  and width is 2x+11

We multiply it to find the area

Expression for the area of the rectangle is  

The Degree is the highest exponent

In that expression, the highest exponent is 2 and it has three terms

The Degree is 2   and it is a trinomial expression

Closure property says that if an operation produces another polynomial then the polynomial will be closed under an operation

To find out the area we multiplied two binomials

It demonstrates the closure of the property

(TREAT THIS LIKE THE TUTOR VERIFIED! TO TELL IF ITS RIGHT OR NOT)

❄ Hi there,

let us start by considering this: What should we do to get x all by itself?

Since it's

we should

So, let's start.

\(\sf{\dfrac{-x}{4}\times4 < 2\times4}}\)

\(\sf{-x < -8}\)

\(\sf{x > 8}\)

When we divide both sides of an inequality by a negative number, we do "the inequality flip" and flip the inequality sign.

❄