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Roman55 [17]
3 years ago
13

Jan bought 6 cookies and 4 doughnuts for 3.50. Tom bought 12 cookies and 5 doughnuts got 5.23. Write and solve a system of equat

ions to find the cost of one cookie
Mathematics
1 answer:
iren2701 [21]3 years ago
4 0
0.19 for one cookie and 0.59 for one doughnut

x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23

solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59

Check the work: 6(0.19)+4(0.59)=3.5
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How many yards are in 3 times of 4 yards 2 foot
Len [333]
4 yards and 2 feet is equal 14 feet since each yard is made up of 3 feet.

1 yard = 3 feet.

So if we take 14 feet and multiply that by 3 we get 42 feet. 

42/3 is equal to about 14 yards in total 

So the answer is 14 yards. 
6 0
3 years ago
Greg’s sister Ava is 4 years older than him. If the sum of Greg’s age and 2 times Ava’s age is 35, How old is Ava?
Fofino [41]

Answer:

13

Step-by-step explanation:

Create an equation: g+(G+4)(2)=35

Parentheses: g+2(G+4)=35

Distributive property: g+2g+8=35

Combine like terms: 3g+8=35

Subtractive property: 3g=27

Division property: g=9

Greg is 9. Since Ava is 4 years older you add 4 to find her age. Ava is 13. You take Ava’s age times 2 ( equals 26) then add Greg’s age (equals 35). And it should equal 35.

3 0
2 years ago
An Electronics company packages is product in cube shaped boxes. These boxes are placed in to a larger box that measures 3 ft lo
Sergio [31]
= (3 * 1.25 * 2)/(0.25) ^ 3

= 7.5/(1/64)

= 480 boxes

Good luck :)
3 0
3 years ago
Brainliest to first correct answer
Artyom0805 [142]

Answer:

Smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

Step-by-step explanation:

We need to find the surface area of all cuboids.

Surface Area of Cuboid A:

Length = 6

Breadth = 25

Height = 4

The formula used is: Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)

Putting values and finding surface area:

Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((6 \times 25)+(25 \times 4)+(6 \times 4))\\Surface \ Area \ of \ Cuboid=2(150+100+24)\\Surface \ Area \ of \ Cuboid=2(274)\\Surface \ Area \ of \ Cuboid=548\: cm^2

So, Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B:

Length = 10

Breadth = 6

Height = 10

The formula used is: Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)

Putting values and finding surface area:

Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2(10 \times 6)+(6 \times 10)+(10 \times 10))\\Surface \ Area \ of \ Cuboid=2(60+60+100)\\Surface \ Area \ of \ Cuboid=2(220)\\Surface \ Area \ of \ Cuboid=440\: cm^2

So, Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C:

Length = 2

Breadth = 20

Height = 15

The formula used is: Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)

Putting values and finding surface area:

Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((2 \times 20)+(20 \times 15)+(2 \times 15))\\Surface \ Area \ of \ Cuboid=2(40+300+30)\\Surface \ Area \ of \ Cuboid=2(370)\\Surface \ Area \ of \ Cuboid=740\: cm^2

So, Surface Area of Cuboid C = 740 cm²

So, We get:

Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C = 740 cm²

The company wants to choose the design having smallest surface area.

So, smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

5 0
3 years ago
Find the least common denominator between the two fractions. 1/4 and 3/5
zheka24 [161]
To Find the least common denominator you have to find the multiples of each number

multiple means the product of each factor

so the multiples of 4 would be 4 8 12 16 20

you want to name at least five multiples but if there are not the same multiples you might have to list more

the multiples of 5 would be 5 10 15 20

then I can stop there because I have found two of the same multiples

so now we have our least common denominator which is 20

HOPE THIS HELPS!!!
6 0
3 years ago
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