If 4 adult elephants eat 320 pounds of food, how many ounces of food should the zookeeper purchase?

The cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15. The cost of 2 cookies, 3 doughnuts, and 4 boxes of d

Naddika [18.5K]

Answer:

$1.25

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

Let the cost of a cookie be c, cost of a doughnut be d and that of a box of doughnut hole be h then if cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15, we have

4a + 6d + 3h = 8.15

and the cost of 2 cookies, 3 doughnuts, and 4 boxes of doughnuts holes is $7.20 then

2a + 3d + 4h = 7.20

Dividing the first by 2

2a + 3d + 1.5h = 4.075

subtracting from the second equation

2.5h = 3.125

h = 1.25

The cost of a box of doughnut holes is $1.25

5 0

2 years ago

The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0

Naddik [55]

Answer: 460.6 miles South of Chicago

Explanation:

1) The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:

→to south ←to north
|----------------------|---------------------|
 A x X 930.0 - x B
 6:00 am 6:00 am
 → ←
 v = 79.0 mi/h v = 81.1 mi/h

=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x 81.1*t
------------- = ----------
 x 79*t

t cancels out =>

930.0 - x 81.1
------------- = --------
 x 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.

7 0

2 years ago

BRAINLIEST!!!

kifflom [539]

20 cats * ( 1 bag of food / 5 cats per month ) = 4 bags of food per month to feed all 20 cats

4 0

3 years ago

Read 2 more answers

How to put 24.357 in expanded form?

muminat

20 + 4 + 3/10 + 5/100 + 7/1000

5 0

2 years ago

Geometry question on finding x.

Dmitrij [34]

Answer:

$x =63^o$

Step-by-step explanation:

Given :-

$\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}$

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

$\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o$

Hence the value of x is 63° .

6 0

3 years ago