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skelet666 [1.2K]
3 years ago
12

-6n + 3= 45how do solve this? I need help showing my work​

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

n = -7

Step-by-step explanation:

-6n + 3 = 45

       -3     -3

--------------------

-6n = 42

Divide both sides by -6

42/-6 = -7

n = -7

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a supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar has a total mass of 2900 kg. How many 2 kg bags and
Vaselesa [24]

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Step-by-step explanation:

The given is:

  • A supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar
  • The total mass of the sugar is 2900 kg

We need to find how many 2 kg bags and 4 kg bags are in the shipment

Assume that x represents the number of 2 kg bags and y represents the number of 4 kg bags

∵ x is the number of 2 kg bags

∵ y is the number of 4 kg bags

∵ The total number of bags are 1100

- Add x and y, then equate the sum by 1100

∴ x + y = 1100 ⇒ (1)

∵ The total mass of sugar is 2900 kg

- Multiply x by 2 and y by 4 to find the mass of the bags, then

  add the two product and equate them by 2900

∴ 2x + 4y = 2900 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -2200 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 700

- Divide both sides by 2

∴ y = 350

- Substitute the value of y in equation (1) to find x

∵ x + 350 = 1100

- Subtract 350 from both sides

∴ x = 750

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

4 0
3 years ago
Joseph's uncle wants to put shingles on the outside walls and solar panel the roof of his barn shown at the right. It costs $2.5
sp2606 [1]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the measurement of the roof is 5 m by 9 m on  both sides. Hence:

Area of roof = 2 (5 * 9) = 90 m²

Since solar panels cost $4.00 per square meter, therefore:

Cost of solar panels = $4.00 per square meter * 90 m² = $360

The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²

The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²

Area of each side wall of barn = 9 m * 7 m = 63 m²

Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²

Cost of shingles = $2.50 for each square meter * 246 m² = $615

Total cost of project = $615 + $360 = $975

5 0
3 years ago
The ratio of the measures of the sides of a triangle is 5:7:8 and has a perimeter of 320 inches. What is the measure of each sid
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<span>The ratio of the measures of the sides of a triangle is 5:7:8, and its perimeter is 40 inches. what is the measures of each side of the triangle 
Sides are (5/20) x 40 = 10 inches
(7/20) x 40 = 14 inches, and (8/20) x 40 = 16 inches respectively. </span>
8 0
3 years ago
The graphs below have the same shape. Complete the equation of the blue
jok3333 [9.3K]

Answer:

the answer is G(x)=x^2 + 1

  1. if you add +1, the y value will increase 1 point upward making the other function equal to g(x)=x^2 + 1. the difference between the two functions is the + 1.
4 0
3 years ago
Read 2 more answers
Jamal's car travels an average of 16.7 miles per gallon of gas.
Elenna [48]

Answer:

42 miles

Step-by-step explanation:

20 x 16.7 = 334 miles on a full tank of gas

he drove 292 miles so 334 - 292 = 42 miles left

7 0
2 years ago
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