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rjkz
17 days ago
12

A train is traveling at a constant speed and has traveled 67.5 miles in the last 1 1/2 hours. Which equation shows the proportio

nal relationship between the distance, d, and the time, t, that the train has traveled?
1. d = 67.5t
2. d = 45t
3. d = 50t
4. d = 69t
Mathematics
1 answer:
zzz [9K]17 days ago
8 0

Answer:

The correct response is B, expressed as d=45t.

Step-by-step explanation:

I just completed the problem and arrived at the right solution.

Hope this is helpful and good luck:)

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Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in
zzz [9066]

Answer:

The outcomes are listed below.

Step-by-step explanation:

Only the differential costs will be considered. Therefore, the costs associated with sugar beets and their processing are not relevant to the decision.

Beet fiber:

Sold as is for $25

Continued processing yields = 57 - 16= $41

It is more favorable to further process the beet fiber.

Beet juice:

Sold as is for $39

Continued processing yields = 84 - 22= $62

Continuing the processing of beet juice is also more advantageous.

7 0
1 month ago
What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St
zzz [9066]

Answer:

1+\sqrt{2}

Step-by-step explanation:

Consider a quadratic equation given by

ax^2+bx+c=0.... (1)

The quadratic formula then is

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

The quadratic equation provided is

0=-x^2+2x+1

This can be expressed as

-x^2+2x+1=0.... (2)

By comparing (1) and (2), we derive:

a=-1,b=2,c=1

Plug these values into the quadratic formula.

x=\dfrac{-2\pm \sqrt{2^2-4(-1)(1)}}{2(-1)}

x=\dfrac{-2\pm \sqrt{4+4}}{-2}

x=\dfrac{-2\pm \sqrt{8}}{-2}

x=\dfrac{-2\pm 2\sqrt{2}}{-2}

Factoring out common elements.

x=\dfrac{-2(1\pm \sqrt{2})}{-2}

x=1\pm \sqrt{2}

The two solutions are

x=1+\sqrt{2} and x=1-\sqrt{2}

We recognize that

\sqrt{2}=1.41

Thus,

1

Consequently, root x=1+\sqrt{2} is positive while x=1-\sqrt{2} is negative.

9 0
21 day ago
Read 2 more answers
a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price
PIT_PIT [9101]

The original price stands at $450.

Step-by-step explanation:

Step 1:

Given information, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Formulate the equation for determining the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Plug in the known values into the formula

315 = OP - D

D = OP \times30/100

D = 0.3 OP

Step 4:

Insert the value of D back into the initial equation

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

A resulting Original Price of OP = 315/0.7 = $450

5 0
19 days ago
The diagram shows two objects made of the same kind of glass. At left, a 3 dimensional figure labeled X with 2 triangular sides
Zina [9157]

Response:

A solid qualifies as a polyhedron if it consists solely of polygonal facets, with the faces converging at... polygons, and an equivalent number of faces converging at each vertex.... referred to as a right prism).... 1. 2. 3. The visuals below depict a 3-dimensional shape that does not meet the criteria... Example 10: The solid illustrated below is categorized as a rectangular prism or cuboid

Detailed explanation:

6 0
16 days ago
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Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =
AnnZ [9071]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x

\implies 3x+2y-2z-8=0\hfill (1)

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0
13 days ago
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