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2 years ago

The sides of a rectangle are enlarged by a scale factor of 2. Write

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

5 0

Answer:

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

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By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 sli

photoshop1234 [79]

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90 (Subtracting the equations)

3x - z = 810 (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602 (equation 5)

Solving equation 4 and equation 5

3x - z = 810 therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

5 0

3 years ago

Can someone solve this

In-s [12.5K]

The answer is 5r^2 -1
hope this helps !

8 0

3 years ago

Solutions to the inequality

nordsb [41]

Answer:

x < 5

Step-by-step explanation:

-7x + 14 > -3x - 6

Collect like terms

-7x + 3x > -6 -14

-4x > -20

Divide both sides by -4

-4x/-4 < -20/-4

Note : dividing both sides of an inequality by negative or minus the inequality sign changes.

Therefore

x < 5

I hope this was helpful, please rate as brainliest

4 0

3 years ago

Rashad had 25 stamps. He shared them equally among himself and 4 friends. Then rashad found 2 more stamps in his pocket. Write a

Dafna1 [17]

It would be written like so:

25/4 + 2

Though I'm not sure how you share 25 stamps among 4 friends equally without having to rip 1 of the 25 stamps into quarters.

5 0

3 years ago

Read 2 more answers

Cody has $7. He wants to

Temka [501]

<h3>Answer: (1,3)</h3>

=====================================================

Explanation:

Note that the two shaded regions overlap to form the darker shaded region. The point (1,1) is only in the green region, but not in the blue region. It needs to be in both regions for it to be a solution to the system. In contrast, the point (1,3) is on the boundary of the blue region and in the green region as well. It's a solution point because of this.

Points on the boundary are included because of the "or equal to" as part of the inequality sign. Hence the solid boundary lines rather than dashed boundary lines.

The solution (1,3) means that x = 1 and y = 3 pair up together. It says that Cody can buy x = 1 hotdog and y = 3 packs of peanuts so that he has at least 4 snacks, and he stays within the $7 budget.

Going back to (x,y) = (1,1) for a moment, this isn't a solution because x+y = 1+1 = 2 is not 4 or larger. In other words, he only buys 2 snacks here instead of 4 or more.

5 0

3 years ago