At a local coffee shop, Mexican coffee is $5.25 per pound, and the Spanish coffee is $9.95 per pound. David wants to buy 3 lbs. of Mexican coffee and 2 lbs. of Spanish coffee. How much does he spend?

Answer: 4(3y−1)

Step-by-step explanation:

Answer:

4(3y - 1)

Step-by-step explanation:

To factor this find the greatest common factor of 12y and -4, which would just be 4.

Then, you have 4(3y - 1)

The total surface area of the new box is given by the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).

To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.

Let's assume the original box has dimensions:

Length (L)

Width (W)

Height (H)

The total surface area of the original box is given by:

SA_original = 2(LW + LH + WH)

After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.

The new total surface area of the box can be calculated as follows:

SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))

Simplifying the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)

Therefore, the total surface area of the new box is given by the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)

To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.

Learn more about surface area

brainly.com/question/29298005

#SPJ11

The function h(x) = (x+3) can be expressed in the form f(g(x)) where f(x) = x³, and g(x) is defined below: g(x) = x+3. To get the answer of f(g(x)).

we need to substitute g(x) into the function f(x) to get f(g(x)).So,

f(g(x))= f(x+3)= (x+3)³ is the answer.

Therefore ,h(x) = (x+3) can be expressed in the form f(g(x)),

where f(x) = x³ and g(x) = x+3.

To get f(g(x)), you must first substitute the value of g(x) into the function f(x) and simplify.

In this problem, g(x) = x+3, so

f(g(x)) = f(x+3).Since f(x) = x³,

we can substitute x+3 for x to get f(x+3) = (x+3)³.

Therefore, h(x) = (x+3) can be expressed in the form f(g(x))

, where f(x) = x³ and g(x) = x+3.

To know more about expressed visit:

https://brainly.com/question/28170201

#SPJ11

Answer:

one

Step-by-step explanation:

the answer is one

i hoped this help

The solution to the equation x plus 16 all over 3 = 3x  is x = 2

The mathematical statement is given as:

x plus 16 all over 3 = 3x

Rewrite the equation as:

(x + 16)/3 = 3x

Multiply both sides of the equation by 3

x  + 16 = 9x

Subtract x from both sides of the equation

8x = 16

Divide both sides of the equation by 8

x = 2

Hence, the solution to the equation x plus 16 all over 3 = 3x  is x = 2

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

5=2x

Step-by-step explanation:

poopu

Answer:

No, the sign won't change. The sign will only change if you multiply each side by -1.

Step-by-step explanation:

adding negative numbers also won't change the sign. We can see this because we are adding the same numbers

6<10

10<14

2<6

-6<-2

Ms. Wamboldt ruler will not fit in the envelope .

In the question ,

it is given that

Ms. Wamboldt ruler length is = 30cm

the length of the envelope is = 26 cm

the width of the envelope is = 14 cm

to make the ruler fit into the envelope , we need to find the diagonal of the envelope first ,

since the side of the envelope form a right triangle ,

so by using Pythagoras theorem , we get

length² + width² = diagonal²

26² + 14² = diagonal²

diagonal² = 676 + 196

diagonal² = 872

diagonal = √872 = 29.52

since 29.52 < 30 , the ruler will not fit in the envelope .

Therefore , Ms. Wamboldt ruler will not fit in the envelope .

Learn more about Pythagoras Theorem here

https://brainly.com/question/21511305

#SPJ1

Answer:

Step-by-step explanation:

none of these the corrct answer is 5

Answer:

As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.

Given equation:

\(y=\dfrac{2}{3}x-5\)

Calculating two points on the line:

\(\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)\)

\(\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)\)

Plot these points and draw a straight line through them (attached).

Answer:

profit % =5%

Step-by-step explanation:

you can simply separate the question into two parts case 1 and case 2 . in the first case you need to find out the cost price so just use the formula cp =( sp x 100)/100- loss%

then use the cp you found out in the second case and use formula of profit percent to get the answer

Answer:

A. (-1, 3) (3, 2) (-2, 1)

B. \(\sqrt{17}\)   \(\sqrt{5}\)  \(\sqrt{26}\)  

Step-by-step explanation:

The formula for finding the midpoints is \((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\).

MIDPOINTS

\((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\) = \((\frac{4-6}2,\frac{4+2 }2} )\) = (-1, 3)

\((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\) = \((\frac{4+2}2,\frac{4+0 }2} )\) = (3, 2)

\((\frac{x_{1}+x_{2} }2}, \frac{y_{1}+y_{2} }2} )\) = \((\frac{-6+2}2,\frac{2+0 }2} )\) = (-2, 1)

Next, we will use the distance formula, \(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\).

DISTANCE

\(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\) = \(\sqrt{(-1-3)^{2} + (3-2)^{2} }\) = \(\sqrt{17}\)

\(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\) = \(\sqrt{(-1+2)^{2} + (3-1)^{2} }\) = \(\sqrt{5}\)

\(\sqrt{(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2} }\) = \(\sqrt{(3+2)^{2} + (2-1)^{2} }\) = \(\sqrt{26}\)  

a. To find the coordinates of endpoints we must add two x values and divide by 2 and then add 2 y- values and divide by 2.

(4-6)/2=-1  (4+2)/2=3

Repeat for other sides.

(2-6)/2=-2 (2+0)/2=1

(2+4)/2=3  (4+0)/2=2

Coordinates of midpoints are (-1,3), (-2,1), (3,2)

b. Now we use the distance formula for each midpoint to find the length of the inner- triangle.

sqrt((-1+2)^2 + (3-1)^2)

Sqrt(5)

Repeat.

Sqrt(17)

Sqrt(26)

The lengths of the inner triangle are as follows:

(-1,3), (-2,1) = Sqrt(5)

(-1,3), (3,2) = Sqrt(17)

(-2,1), (3,2) = Sqrt(26)

Answer:

Below:

Step-by-step explanation:

The answer is "B" -44.

Hope it helps...

It's Ms-Muska

The following constructions are crucial in drawing inscribed circles:

Construct an angle bisector

Construct perpendicular lines

What is the procedure to follow in drawing inscribed circles on an equilateral triangle?

An inscribed circle is a circle drawn in a triangle. An equilateral triangle is a triangle with three equal sides and angles.

The procedure to follow in drawing inscribed circles in such an equilateral triangle is as follows:

You need to construct an angle bisector at each angle of the triangle

Where they meet at the center, is the center of the inscribed circle.

Construct a straight perpendicular line, from the center to one side of the triangles

Set the compass just on the center point, you can change the length to where the perpendicular intersects the triangle to fit in, and construct your inscribed circle.

Learn more about drawing inscribed circles in an equilateral triangle here:

brainly.com/question/10132966

#SPJ1

Slope of line passing through two points (x1,y1 ) and (x2 ,y2 ) is given by

m= y2-y1/x2 −x1

Since the line passes through (−2,5) and (6,4)

We have

Slope(m)= 4-5/6−(−2) =− 1/8

Working with the right hand side (RHS):

Recall the half-angle identities,

sin²(x/2) = (1 - cos(x))/2

cos²(x/2) = (1 + cos(x))/2

so that

RHS = tan²(x/2)

RHS = sin²(x/2) / cos²(x/2)

RHS = (1 - cos(x)) / (1 + cos(x))

Multiply the numerator and denominator by 1 - cos(x).

RHS = (1 - cos(x)) / (1 + cos(x)) • (1 - cos(x)) / (1 - cos(x))

RHS = (1 - cos(x))² / (1 - cos²(x))

Recall that

sin²(x) + cos²(x) = 1

so that

RHS = (1 - cos(x))² / (1 - cos²(x))

RHS = (1 - cos(x))² / sin²(x)

Expanding the numerator yields

RHS = (1 - 2 cos(x) + cos²(x)) / sin²(x)

RHS = 1/sin²(x) - 2 cos(x)/sin²(x) + cos²(x)/sin²(x)

RHS = 1/sin²(x) - 2 cos(x)/sin(x) • 1/sin(x) + cos²(x)/sin²(x)

and by definition of csc and cot,

RHS = csc²(x) - 2 cot(x) csc(x) + cot²(x)

as required.

Answer:

$75.26

Step-by-step explanation:

Base cost = $49.95

Total mile cost = 1.19*18 = $21.42

Gas cost = $3.89

Total cost = $(49.95 + 21.42 + 3.98) = $75.26

Answer:

4000 cm^3

Step-by-step explanation:

Note that no image was attached for reference purposes

Step one:

We are given that the original length and width of the cube is 20cm

if the cut part is 10cm

hence the dimension of the cut part is

lenght = 20cm

Width= 20cm

Hieght= 10cm

Step two:

the volume of the cut part will be

Volume= 20*20*10

Volume= 4000 cm^3

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

Purchases:

Coat £20

Hat £15

Gloves for £5

Total amount of purchases: £20 + £15 + £5 = £40

Sales:

Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30

Hat: £18

Gloves at a 20% loss: 80% of £5 = £4

Total amount of sales: £30 + £18 + £4 = £52

Amount of profit: £52 - £40 = £12

Percent of profit: £12 / £40 × 100% = 30%

Answer:

I really did try man ;-;

Step-by-step explanation:

a. The base calculation of the ticket price can be determined by considering various costs and factors associated with operating the bus. The calculation should include costs such as the initial price of the bus, fuel expenses, driver wages, insurance, maintenance, and other operational costs. By dividing the total costs by the number of passengers expected to be carried during the bus's lifespan, the base ticket price can be determined.

b. When suggesting the actual accumulated charges to be imposed in the future, it is important to consider factors such as inflation, changes in operating costs, market demand, and competitive pricing. The government should conduct market research and analysis to understand the dynamics of the transportation industry, evaluate the impact of potential charges on consumers and businesses, and strike a balance between affordability for passengers and profitability for bus operators. The suggested charges should aim to ensure sustainability and a fair return on investment for the operators, while also considering the economic well-being of the population.

Learn more about investment here: brainly.com/question/30105963

#SPJ11

suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.

To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:

1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.

2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
  Z = (X - μ) / σ

3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.

4. Plug in the known values and solve for σ:
  0.84 = (9 - 5) / σ
  σ ≈ 4 / 0.84
  σ ≈ 4.76

5. Finally, find the variance, which is σ²:
  σ² ≈ 4.76²
  σ² ≈ 22.66

So, the approximate variance of the normal random variable X is 22.66.

to learn more about random variables click here:

https://brainly.com/question/14346379

#SPJ11

The approximate variance of the normal random variable X is the square of the standard deviation:

Var(X) ≈ \((4.76)^2\) ≈ 22.65 (rounded to two decimal places).

To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.

First, we calculate the z-score using the standard normal distribution formula:

z = (X - μ) / σ

where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.

Plugging in the values, we get:

z = (9 - 5) / σ = 4 / σ

Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.

Now, we can use the z-score formula to solve for the standard deviation σ:

-0.84 = 4 / σ

Cross-multiplying, we get:

-0.84σ = 4

Dividing both sides by -0.84, we get:

σ ≈ 4 / -0.84 ≈ -4.76

Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:

σ ≈ 4.76

Learn more about “ normal random variable “ visit here;

https://brainly.com/question/14782203

#SPJ4

A sculpture formed from a cylinder resting on top of a cuboid is referred to as a composite solid. In geometry, a solid is said to be composite when it is made up of two or more simpler figures.

A cylinder is a three-dimensional shape that consists of two parallel circular bases that are connected by a curved lateral surface. Where as a cuboid is a three-dimensional shape that has six rectangular faces, eight vertices, and twelve edges. So, the cylinder is resting on top of the cuboid. The solid will have three dimensions, length, width, and height. Therefore, the composite solid will have a circular base.

That is the same size as the cylinder and a rectangular base that is the same size as the cuboid. The height of the composite solid will be equal to the height of the cylinder plus the height of the cuboid. In general, the formula to calculate the volume of a composite solid is V = V1 + V2, where V is the total volume of the composite solid, V1 is the volume of the cylinder, and V2 is the volume of the cuboid. In conclusion, we can say that a sculpture formed from a cylinder resting on top of a cuboid is a composite solid.

To know more about geometry visit:

https://brainly.com/question/31408211

#SPJ11

Just me:

? I will just explain what I understand

Answer:

(Think hard) If you cut a snake in half you get 1/2 but if you cut it into 4's 1/5

I tried.

The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.

In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

Learn more about linear function:https://brainly.com/question/21107621

#SPJ4

Answer:

m(2) = 39; if hazel mows a yard for 2 hours

Step-by-step explanation:

sorry if this is incorrect but i thought it was more help then the previous answer

:)

hope this helps anyone and have a great day!!

To graph the inequality 2x + y > 3, we can first graph the boundary line 2x + y = 3. To do this, we can find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x:

When x = 0, 2(0) + y = 3, so y = 3. The point (0, 3) is on the line.

When y = 0, 2x + (0) = 3, so x = 3/2. The point (3/2, 0) is on the line.

Plotting these two points and connecting them with a straight line gives us the boundary line:

   |       /

   |      /

   |     /

   |    /

   |   /      2x + y = 3

   |  /

   | /

   |/_____________

             |

           3/2  |

               |

Now, to determine which side of the line satisfies the inequality, we can pick a test point that is not on the line, such as (0, 0). Substituting x = 0 and y = 0 into the inequality gives:

2(0) + 0 > 3

This is clearly false, so the point (0, 0) is not in the solution set. Since the inequality is a strict inequality (>) rather than a non-strict inequality (≥), the solution set does not include the boundary line. Therefore, the solution set consists of the region above the boundary line:

             |

           3/2  |

               |

   |       /     |

   |      /      |

   |     /        |

   |    /          |

   |   /            |

   |  /              |

   | /________________|______________

                      |

                     x=1

Now, to graph the inequality x < 1, we simply draw a vertical line at x = 1, and shade in the region to the left of the line:

             |

           3/2  |

               |

   |       /     |

   |      /      |

   |     /        |

   |    /          |

   |   /            |

   |  /              |

   | /________________|______________

                      |

                     x=1

                      |

                      |

                     x<1

The region that satisfies both inequalities is the shaded region that is above the line 2x + y = 3 and to the left of the line x = 1:

             |

           3/2  |

               |

   |       /     |

   |      /      |

   |     /        |

   |    /          |

   |   /            |

   |  /              |

   | /________________|______________

           |       |

           |       |

           |      x<1

           |

          2x+y>3

The graph that shows this solution is the third graph from the left.

To know more about  inequalities

https://brainly.com/question/24372553

#SPJ9