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Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr

Katena32 [7]

Answer:

Tyler purchased 10 cans of soup and 5 frozen dinners.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

d = 5 ⇒ s = 2 * 5 = 10

Tyler purchased 10 cans of soup and 5 frozen dinners.

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

We proved d = 5 and s = 10 are correct

3 0

3 years ago

Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall is 16.5 feet wide and each poster is 5 3/4 f

vekshin1

The expression for the distance is w=5/3 ft

Step-by-step explanation:

The wall has a width of 16.5 feet

A single poster has a width of 5 3/4 ft which is equal to 23/4 ft or 5.75 ft

For the two posters, the width occupied is ; 23/4 * 2 = 23/2 = 11.5 ft

Remaining width that will be unoccupied by the posters will be 16.5-11.5=5

A sketch of the wall with the two posters such that the edge of the wall is the same as the distance between the posters will show three un-covered spaces, from edge of wall to the first poster, then between the two posters, and lastly from the second poster to the other edge of the wall.

The un-covered 3 portions have an equal width, lets assume that they have a width of w ft

This means 3w will represent the uncovered width which equals to the unoccupied space of 5 ft

Form equation for the uncovered width as;

3w=5ft

w=5/3 ft ---------the distance from the edge of each poster to the nearest edge of wall.

Learn More

Perimeter of a wall : brainly.com/question/12692838

Keyword :posters, wall, edge, distance

#LearnwithBrainly

6 0

3 years ago

48

Black_prince [1.1K]

Well first count the shoe rental which is 4 dollars so she has 16 dollars left. We divide 16 and 5.50 and get 2.9090 meaning that she can play 2 games. Because u can’t pay for half the game so it would be 2 games.

8 0

3 years ago

-the equations x-y=-14 and -x-y=14 what is the number of solutions? A.) no solutions B.) infinitely many solutions C.) one solut

Yuki888 [10]

Answer:

The answer is C one solution

Step-by-step explanation:

x-y=-14

-y=-x-14 bring x to the other side

y=x+14 divide everything by -1

-x-y=14

-y=x+14 bring x to the other side

y=-x-14 divide everything by -1

6 0

3 years ago

PLEASE HELP!!

Amanda [17]

Answer: You could move Circle 2 10 units to the right and up 5 up.

Doing this would put the centers of the circles at the same location. They would both be at the point (8, 5).

For the dilation, the radius changed from 2 to 6. Solve the following equation.
2x = 6
x = 3

7 0

3 years ago

Read 2 more answers