What is the area of the space that Nadia has shown for scrapbooking

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

A metalworker has a metal alloy that is 15% copper and another alloy that is 60% copper. How many kilograms of each alloy shou

coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

Step-by-step explanation:

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

6 0

2 years ago

Helppppp❤️ Please please

kodGreya [7K]

Answer:

B and D

Step-by-step explanation:

I think this is the answer

7 0

2 years ago

3. The cost of a ticket twill be no more than $26.

goblinko [34]

Any number 1-26 should work. the expression would me x<$26.

7 0

3 years ago

-4( x – 4) = 8 – 4x last one NEED help

Ilya [14]

16=8

first you need to get rid of the parenthesis by doing distributive property which gives you -4x+16=8-4x next you cancel equal terms which is -4x so then you get

16=8 btw the equation would be false

7 0

2 years ago

What is the area of the space that Nadia has shown for scrapbooking ​

What is the area of the space that Nadia has shown for scrapbooking