Connecting a DVD player to a television set requires a cable with special connectors at both ends. You buy a six-foot cable for $15.50 and a three-foot cable for $10.25. Assuming that the cost of a cable is the sum of the cost of the two connectors and the cost of the cable itself, what is the cost of a four-foot cable?

Answers

Answer 1
Answer: so a 3 foot cable is10.25
a 6foot cable is 15.50
so
x=cost per foot
y=cost of special connectors
3x+y=10.25
6x+y=15.50
make first equation negative and add to the first
3x=5.25
divide both sides by 3
1.75=x
so it costs 1.75 for a foot of cable

subtitue into first equation
3(1.75)+y=10.25
5.25+y=10.25
subtract 5.25 from both sides
y=5 dollars=cost of special so
4x+y=4(1.75)+5=7+5=$12

so the cost of a 4 foot cable is $12

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In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?A. 90
B. 110
C. 130
D. 180​

Answers

Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories

How to solve Linear Programming problems?

Let the calories in one serving of milk be x

Let the calories in one serving of juice be y

Let the calories in one serving of soda be z

Thus, for Joe, equation to show amount of calories is;;

2x + y + z = 530    -----(1)

For Darius, equation to show amount of calories is; ;

x + 2y = 370     ------(2)

For Marian, equation to show amount of calories is;

3x + z = 510    ------(3)

Using matrix calculator online to calculate this 3 equations, we have;

x = 110 calories.

Read more about Linear Programming at; brainly.com/question/23414950

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Answer:

the answer is B on ed2020

Step-by-step explanation:

for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.

so you have soda = 180 cal and juice = 130 cal

if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct

What are the prime factors of 700

Answers

the prime factors of 700 = 2 x 2 x 5 x 5 x 7.

Answer:

The answer is 2 x 2 x 5 x 5 x 7.  for Penn Foster students

Step-by-step explanation:

2 more than the product of 4 times m Express algebraically

Answers

The product of 4 times 'm' . . . . . 4m

2 more than that . . . . . . . . . . . . 4m + 2

A rectangle's length is three times its width.  Let w denote the rectangle's width.  What polynomial represents the rectangle's area? 

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

Mark was thinking of a number. Mark doubles it and gets an answer of 64. What was the original number?

Answers

Answer:

32

Step-by-step explanation:

32x2=64

Answer:

32

Step-by-step explanation:

64/2=32

A square acre of land is 4,840 square yards. The length of one side of the square is between which of the following?A 14 yd and 48 yd
B 69 yd and 70 yd
C 98 yd and 100 yd
D 124 yd and 139 yd

Answers

Hi there!

If we know the area is a square, we can use the formula for the area of a square to figure out what one side would be between. Knowing the value allows us to determine what it would be between. In this case, it is between 69 and 70.

WORK:
squareroot(4840) = 69.6

ANSWER:
Option B - 69 yd and 70 yd