MATHEMATICS COLLEGE

Find the slope please

Answers

Answer 1

Answer:

Step-by-step explanation:

Pick any 2 points and then plug it in to the formula for slope

y2-y1

_____. (Rise over run)

x2-x1

Pick 2 ordered pairs (x,y) and then plug in the respective values for x and y

Once plugged in, subtract for the top and bottom values

Then divide the values

The answer is the slope

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Need help will mark Brainliest no explanation needed

A 0.8-liter bottle of Mexican wine costs 101 pesos. At thatprice, how much would a half-gallon jug of the same wine cost indollars?

Answers

Answer:

$12.18

Step-by-step explanation:

Given:

Cost of 0.8 liter bottle of Mexican wine = 101 pesos

cost of 1 liter bottle of Mexican wine = $\frac{\textup{101}}{\textup{0.8}}$ pesos

Now,

1 Mexican pesos = 0.051 dollars

thus,

cost of 1 liter bottle of Mexican wine = $\frac{\textup{101}}{\textup{0.8}}*0.051$ dollars

also,

1 gallon = 3.78541 Liter

Thus,

half gallon = $\frac{\textup{3.78541}}{\textup{2}}$ = 1.892705 Liters

therefore,

cost of half gallon jug = $\frac{\textup{101}}{\textup{0.8}}*0.051*1.892705$ dollars

cost of half gallon jug of wine = $12.18

The ratio of adults to children on a field trip is 2:7. If there are 14 adults on the trip, how many children are there?

Answers

Answer:

Step-by-step explanation:

Let's set up a proportion!

2 14

-- --

7 x

Now, we cross multiply

14 times 7 = 98

2 times x = 2x

98 = 2x

98 divided by 2 equals 49

Answer:

49 children

Step-by-step explanation:

Adult : Child = 2 : 7

Adult = 14

2 = 14

So, 1 = 14/2 = 1 = 7 in the ratio.

So, 7 x 7 = 49 children are there.

Packer Concrete Company pours concrete slabs for single-family dwellings. Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab. Packer estimates the cost of a typical job to include unit-level materials, $1,200; unit-level labor, $600; and an allocated portion of facility-level overhead, $1,000.Required:
a. Calculate the contribution to profit from the special order.

Answers

Answer:

The contribution to profit from the special order us $38,000.

Step-by-step explanation:

Consider the provided information.

We need to calculate the contribution on to profit from the special order.

Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab.

Sale = 40 × $2,750 = $110,000

To find the profit subtract the materials and labor cost from sale amount.

Particulars Amount

Sale (40 × $2,750) $110,000

Less: Variable expense

Unit level materials (40× $1,200) $48,000

Unit level labor(40× $600) $24,000

Contribution margin $38,000

The overhead cost will not be considered while determine the contribution to profit from accepting the order of 40 slab.

Hence, the contribution to profit from the special order us $38,000.

A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the volume to the nearest tenth. Use 3.14 for .61.2 cm
33.0 cm
65.9 cm
69.2 cm

Answers

Answer:

Option D

Step-by-step explanation:

Volume of a cylinder is $V=\pi r^2h$

h - height

r - radius

We are given the radius of 2.1 centimeters and the height of 5 centimeters.

Using 3.14 for pi:

$V=3.14*2.1^2*5\n\nV =69.237$

69.237 ≈ 69.2

Option D should be the correct answer.

Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $552. They bought 34 pieces of equipment. What are a system of equations and an augmented matrix that can represent this situation

Answers

Answer:

20b +12g = 552
b + g = 34

$\left[\begin{array}{cc|c}20&12&552\n1&1&34\end{array}\right]$

Step-by-step explanation:

Two equations can be written: one for the total expense, and one for the number of pieces of equipment. The unknowns in this scenario are the numbers of bats and gloves, which we can represent using the variables b and g. Then the system of equations is ...

20b +12g = 552 . . . . . . equation for total expense

b + g = 34 . . . . . . . . . . . equation for pieces of equipment

The augmented matrix is the matrix of the coefficients in these equations:

$\left[\begin{array}{cc|c}20&12&552\n1&1&34\end{array}\right]$

_____

The solution to these equations is ...

(b, g) = (18, 16)

Final answer:

The system of equations representing this situation is 20b + 12g = 552 and b + g = 34. In augmented matrix form, this is [[20,12,552],[1,1,34]].

Explanation:

In this situation, we can represent the number of bats and gloves a baseball team bought as variables, let's say 'b' and 'g' respectively. From the query, we have two pieces of information which provide two equations:

20b + 12g = 552 (This represent the total cost of the bats and gloves)
b + g = 34 (This represents the total number of items bought)

In matrix form, we can put this system of equations in an augmented matrix as:

[[20,12,552],
[1,1,34]].

Learn more about System of Equations here:

brainly.com/question/21620502

#SPJ11

Simplify. square root (108 x^5 y^6)

Answers

$\bf √(108x^5y^6)\qquad \begin{cases}108=2\cdot 2\cdot 3\cdot 3\cdot 3\n\qquad 2^2\cdot 3^2\cdot 3\n\qquad (2\cdot 3)^2\cdot 3\n\qquad 6^2\cdot 3\nx^5=x^(4+1)\n\qquad x^4\cdot x^1\n\qquad x^(2\cdot 2)\cdot x\n\qquad (x^2)^2\cdot x\ny^6=y^(3\cdot 2)\n\qquad (y^3)^2\end{cases}\implies √(6^2\cdot 3\cdot (x^2)^2\cdot x\cdot (y^3)^2)\n\n\n6x^2y^3√(3x)$