Lily loves horses. Recently, a hurricane traveled through an area of Texas were there is a dense population of horses. Lily can get food for the horses for $0.30 per pound and medical supplies for $.40 per pound. An anonymous donor pledged $8,000 to the effort and has offered to send his plane which can hold 20,000 pounds of cargo to transport the food to the relief effort location. Let x = Number of pounds of Horse Food Let y = Number of pounds of Medical Supplies

Answers

Answer 1

Step-by-step explanation:

Let x = Number of pounds of Horse Food

Let y = Number of pounds of Medical Supplies

so

0.3x+0.4y=8000----1

x+y=20000-----------2  

multiply eqn 2 by 0.3 to eliminate x we have

0.3x+0.4y=8000  

0.3x+0.3y=6000

-0+0.1y=2000

0.1y=2000

y=2000/0.1

y= 20000

put y=2000 in eqn 2

x+20000=20000

x=20000-20000

x=0

its quite unfortunate that for her to maximize the opportunity and the money she has to carry 20,000 pounds of only  Medical Supplies


Related Questions

Please solve x^2 − 3x = −8

Answers

Answer:it will equal 0

Step-by-step explanation:

hopes it helpes you

Answer (it has two solutions):

See photo below

I hope this helps!

change 84cm into mm​

Answers

840mm would be the correct answer

Answer:

840mm

Step-by-step explanation:

There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm

Have a great day...I hope this helped you :3

if sinA=1/2than find tan A​

Answers

Step-by-step explanation:

Here's the answer I hope it will help you

Answer:

Step-by-step explanation:

From the Pythagorean Theorem

a^2 + b^2 = c^2

a = 1

b = ?

c = 2

1^2 + b^2 = 2^2

1 + b^2 = 4

b^2 = 4 - 1 = 3

b = sqrt(3)

Tan(30) = opposite / adjacent.

adjacent = sqrt(3)

Tan(30) = 1/sqrt(3)

=========

If you need a decimal, it is

1 / 1.321

tan 30 = 0.5774

12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?

Answers

Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

solve for y on both i will give brainlizest thankssss & HURRY

2y+7x=4

6x=7-4y

Answers

Answer:

1- Y=-7/2x+2.

2. Y=-6/4+7

Step-by-step explanation:

Subtract 7x from both sides

Divide both sides by two

Add 4y to both sides

Subtract 6x from both sides

Divide by 4 on both sides

15 points! Please I need some help this is due ...

Answers

Answer:

The answer above is correct

Simplify five to the power of -4 over five to the power of three plzzzz answer

Answers

Answer:

5^-4= 0.0016

5^3= 125

Step-by-step explanation:

Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica

Answers

Answer:

Step-by-step explanation:i need points sorry

if triangle ocd ≅ triangle JAL, then which of the following statements are true?

Answers

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/10629211

A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation. ​

Answers

Answer:

A.  $29,045.68

B.  $28,981.85

C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.

Step-by-step explanation:

3% compounded daily:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)

      = 25000(1.00008219)¹⁸²⁵

      = 25000(1.161827)

      = 29045.6770

3% compounded annually:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)

      = 25000(1.03)⁵

      = 25000(1.159274)

      = 28981.8518

There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?

Answers

Answer: proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

Step-by-step explanation:

When y is directly proportional to y , then the equation for this relationship is given by :-

[tex]y=mx[/tex],   (i)

where m is the proportionality constant.

here, it is given that number of months a person has had a streaming movie subscription  is proportional to the total amount of money they have paid for the subscription.

If cost for 6 months is $47.94.

Put x=  6 and y= 47.94  in (i), we get

47.94 =6m

Divide both sides by 6 , we get

7.99 =m

So proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.

Recall:

A proportional relationship is modelled with the equation, y = kx.

k is the constant of proportionality between y and x.

k = y/x

Given:

x = number of months (6)

y = total amount paid for subscription (47.94)

If 6 months subscription costs $47.94, therefore,

k = 47.94/6

k = 7.99

Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.

Learn more here:

https://brainly.com/question/11703625

Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23

Answers

C cause if you have two side that are wide you need two 75.23 and if you have two longs you’ll need two 105.55 hope this makes sense :)

In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?

Answers

Answer:

0.625

It has 3 digits (finite) after the decimal point.

Step-by-step explanation:

Given that :

Total number of pitches = 384

Total number of fasfballs = 240

To make an update :

Ratio of the number of fastballs and total number of pitches

240 : 384

240/384

= 0.625

The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.

what percent is 52.52 million of 142 million

Answers

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

The percentage;

           = [tex]\frac{comparing number }{total number } x 100[/tex]

          = [tex]\frac{52520000}{142000000}[/tex] x 100

          = 37%

Answer:

dwadwdwa

Step-by-step explanation:

f(x) = 2x - 6,

find f(10).

Answers

Answer:

14

Step-by-step explanation:

use the given functions to set up and simplify f (10).

Simplify the following expression.
(5^3)^5

Answers

Answer:

5 ^15

Step-by-step explanation:

(5 ^3)^5 =5 ^(3×5)=5 ^15

Answer:  5^15

The rule used is (a^b)^c = a^(b*c)

If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.

In this case, a = 5, b = 3, c = 5.

Using a calculator,

5^15 = 30,517,578,125

But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.

3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!

Answers

Answer:

3,186,000,000,000,000

Explanation:

3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000

____________________

People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.

Because 3.186e + 15 may come out as 23.66044590547

expand and simplify 3(3x-4)-2(2x-1)

Answers

Answer:

5x-10

Step-by-step explanation:

distribute 3 & 2 thought the parenthesis

Anyone know the answer to this?

Answers

a. 6x2

b. 2x3

c. 5x2

d. 4x2

e. 5x1

solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9

Answers

Answer:

Unit rate miles per day is, 3

Step-by-step explanation:

Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.

As per the given statement: A construction crew built 1/2 miles of road in 1/6 days

by unit rate definition;

After substituting the given values we have

⇒  

or

Therefore, unit rate miles per day is, 3

Step-by-step explanation:

hhhthhg

Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)

If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.

Substitute from -3≤x≤1 (We get 5 points)

f(-3) = 4^-3

f(-3) = 1/4^3

f(-3) = 1/64 (First point) (-3,1/64)

f(-2) = 4^-2

f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)

f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)

f(0) = 4^0 = 1 (Fourth point) (0, 1)

f(1) = 4^1 = 4 (Fifth point) (1,4)

Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?

Answers

Did you forget to add a part of the question?

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Answers

Answer:

[tex]y=\frac{-1}{3}x-4[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

[tex]m=\frac{-2-(-7)}{-6-9}[/tex]

[tex]m=\frac{-2+7}{-15}[/tex]

[tex]m=\frac{5}{-15}[/tex]

[tex]m=\frac{-1}{3}[/tex]

[tex]y=\frac{-1}{3}x+b[/tex]

Step 3: Find y-intercept b

[tex]-7=\frac{-1}{3}(9)+b[/tex]

[tex]-7=-3+b[/tex]

[tex]-4=b[/tex]

Step 4: Write linear equation in slope-intercept form

[tex]y=\frac{-1}{3}x-4[/tex]

Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47

Answers

Answer: 47/100

Step-by-step explanation: 47/100 = 0.47.

How many terms are in the expression below?
4xy + 3y - 2+ 2y - xy

Answers

Answer:

3

Step-by-step explanation:

you have the single numalrial term, you have the x terms, and the y terms

what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³

Answers

The terms in which value of x when substituted leaves final value of p(x) = "0".

Here, x - 2 is factor. So value of x is 2.  

Substituting value of x we get,

p(x) = x3 - 3x + 5a

p(2) = 2*3 - 3(2) + 5a

0+ 8-6 + 5a

-2 = 5a

a= -0.4

Plz mark me as brainliest

The formula for finding area of a triangle is: A=( 1/2)bh
Solve the equation for height, h.

SOMEBODY PLS HELP ASAP

Answers

Answer:

h=2Ab

Step-by-step explanation:

if you divide b on both sides you get Ab=1/2h

Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab

1500 divided by 3500 would be?

Answers

This is what came up, I hope this helps
( also if you can put brainliest that would help a lot it’s ok if not tho )

Answer:

0.42857142857

Step-by-step explanation:

correct me if im wrong

Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.

Answers

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Answer:

Step-by-step explanation:

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Drag and drop the angle pairs to correctly match their description.

Answers

Answer:

<XAW and <UAY are vertical angles

<XAW and <XAZ are complementary angles

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