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3 years ago

Solve 5x -2.5 = 17.5

Mathematics

2 answers:

Genrish500 [490]3 years ago

7 0

Answer:

x=4

Step-by-step explanation:

5x-2.5=17.5

5x=17.5+2.5

5x=20

x=20/5

x=4

UkoKoshka [18]3 years ago

7 0

Answer:

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Step-by-step explanation:

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Robert went to the grocery store and purchased cans of soup and frozen dinners. each can of soup has 300 mg of sodium and each f

Paraphin [41]

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Step-by-step explanation:

Let,

Soup = x

Frozen Dinner = y

According to given statement of sodium;

300x + 500y = 5200 eqn 1

And,

x + y = 14 eqn 2

$Multiplying\ equation\ 2\ with\ 300\\300(x+y=14)\\300x+300y=4200\ Eqn 3\\$

Subtracting Eqn 3 from Eqn 1;

$(300x+500y)-(300x+300y)=5200-4200\\300x+500y-300x-300y=1000\\200y=1000\\y=\frac{1000}{200} \\y=5$

Putting value of y in Eqn 1;

$300x+500(5)=5200\\300x+2500=5200\\\\Subtracting\ 2500\ from\ both\ sides\ \\300x+2500-2500=5200-2500\\300x=2700\\x=\frac{2700}{300} \\x=9$

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Keywords: Variables, linear equations, subtraction.

Learn more about linear equations at;

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5 0

3 years ago

The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.

solmaris [256]

The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

The length of a rectangle is 5 more than the width. The area is 126 square feet.

We need to find the length and width of the rectangle.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is calculated by multiplying the rectangle's length by its width.

Let the width of the rectangle be x, then the length of the rectangle be x+5.

We know that the area of the rectangle = Length×Width

Now, the area of the rectangle = (x+5)×x=126 square feet.

⇒ $x^{2}+5x-126=0$

⇒ $x^{2}+14x-9x-126=0$

⇒ $x(x+14)-9(x+14)=0$

⇒ $x=-14, x=9$ .

Since length cannot be a negative integer.

So, Width=9 feet and Length=9+5=14 feet.

Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

To know more about the area of the rectangle visit:

brainly.com/question/20693059

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2 years ago

An equation is shown.<br> f(w) = 2<br> +6<br> Find f(-16).

Nikitich [7]

Answer: f(-16) = -26

Step-by-step explanation: Let's substitute:

f(w) = 2w + 6 --> f(-16) = -32 + 6 =

f(-16) = -26
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2 years ago

Based on the information marked in the diagram, AABC and ADEF must be

Studentka2010 [4]

Answer:

Step-by-step explanation:

answer

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3 years ago

A market sells bananas for $0.69 per pound. Which expression represents the cost, in dollars, of p pounds of bananas?

worty [1.4K]

Answer:

StartFraction p over 0.69 EndFraction

69p

Step-by-step explanation:

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3 years ago

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