Mathematics High School

A health food store sells a mixture of raisins and roasted nuts.
Raisins sell for $4.00/kg and nuts sell for $6.00/kg. How many
kilograms of each should be mixed to make 40 kg of this snack
worth $4.75/kg?

Raisins= ?kg
Nuts= ?kg

Answers

Answer 1

Answer:

Raisins = 25 kg

Nuts = 15 kg

Step-by-step explanation:

Given that:

Kilograms of snack to be made = 40 kg

Price per kg would be $4.75kg.

Price of 40 kg would be = 4.75 * 40 = $190

Let,

x be the kilograms of raisins

y be the kilograms of nuts

According to given statement;

x+y=40        Eqn 1

4.00x+6.00y=190      Eqn 2

Multiplying Eqn 1 by 4

4(x+y=40)

4x+4y=160    Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=190-160

4x+6y-4x-4y=30

2y=30

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{30}{2}\\y=15[/tex]

Putting y=15 in Eqn 1

x+15=40

x=40-15

x=25

Hence,

Raisins = 25 kg

Nuts = 15 kg

Answer 2

Answer:

the answer is

raisins= 25 kg

nuts= 15 kg

Step-by-step explanation:

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Answers

Answer:

The rate of change would be y^2-y^1/x^2-x^1. So in this cause the answer is 10.5/3.

Step-by-step explanation:

I said it.

A cube of edge length 3 units has each face painted orange. The cube is then cut into 27 unit cubes. How many of these unit cubes have exactly two faces painted orange

Answers

Answer:

12

Step-by-step explanation:

Pablo decide ahorrar su dinero en una alcancía y cada día ahorra $100 más que el día anterior ¿cuánto ahorraría el día "20" si el primer día tenía $100? Expresa la función y resuelve

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Answer:

Pablo decides to save his money in a piggy bank and each day he saves $ 100 more than the day before. How much would he save on day "20" if he had $ 100 on the first day? Express the function and solve

Step-by-step explanation:

Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run

Answers

Answer:

6 laps

Step-by-step explanation:

Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run

One tenth of a mile = 1/0

Three fifths of a mile = 3/5

From the question:

1/10 mile = 1 lap

3/5 mile = x

Cross Multiply

1/10 mile × x = 3/5 mile × 1 lap

x = 3/5 mile × 1 lap/ 1/10 mile

x = 3/5 ÷ 1/10

x = 3/5 × 10/1

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Therefore, for there fifths of a mile(3/5) he needs to run 6 laps

What is the surface area of this shape?​

Answers

Anewer:

Step-by-step explanation:

Hey there!

Given figure is a triangular based prism. Where the triangle is right angled triangle.

So,

Hypotenuse (h) = 6.5m

Perpendicular (p) =2.5 m

Base (b) = 6m

Length of triangular prism (l) = 10m.

We have;

Lateral surface area= Perimeter*length of prism.

LSA = (6.5+2.5+6) * 10

LSA = 15*10

Therefore, LSA of the shape is 150 m².

Now, Area of base=( 1/2 )*b*p

= (1/2)*(6*2.5)

= 7.5 m²

Therefore, area of base = 7.5 m²

Now, TSA= 2*Area of base+LSA

= (2*7.5 + 150) m²

= 165 m²

Therefore, the Total surface area is 165 m².

Hope it helps....

Step-by-step explanation:

Hey there!

Given figure is a triangular based prism. Where the triangle is right angled triangle.

So,

Hypotenuse (h) = 6.5m

Perpendicular (p) =2.5 m

Base (b) = 6m

Length of triangular prism (l) = 10m.

We have;

Lateral surface area= Perimeter*length of prism.

LSA = (6.5+2.5+6) * 10

LSA = 15*10

Therefore, LSA of the shape is 150 m².

Now, Area of base=( 1/2 )*b*p

= (1/2)*(6*2.5)

= 7.5 m²

Therefore, area of base = 7.5 m²

Now, TSA= 2*Area of base+LSA

= (2*7.5 + 150) m²

= 165 m²

Therefore, the Total surface area is 165 m².

Hope it helps....

Ok Ben runs at 7 metres per second. He runs 210 metres. How
long does it take him?

Answers

Answer:

30 seconds

Step-by-step explanation:

210 divided by 7 is 30

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Answers

Answer:

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Explanation

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Answers

Answer:

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An ounce of Skittles cost $0.38. If Brady bought 8 ounces, how much did he have to pay?

Answers

Answer: $3.04

Step-by-step explanation:

Brady bought 8 ounces of Skittles and it is said that one ounce costs $0.38.

His total cost will therefore be the quantity he bough multiplied by the cost of each quantity:

= Cost of an ounces of skittles * skittles bought

= 0.38 * 8

= $3.04

Brady had to pay $3.04.

3x0.2 help please



s.w​

Answers

Answer:

Step-by-step explanation:

answer 0.6 multiply 3 by 0.2 and you get 0.6! thats what i understood sorry if im rong

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Let original cost be x,

so original cost = x

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[tex]x = 56 /\frac{80}{100}[/tex]

[tex]x = 70 pounds[/tex]

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Answers

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Answer:

x=9

Step-by-step explanation:

The line=180

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98=missing angle

98-13=85

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Can you help me with this problem?​

Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Whitney = x

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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8)
First try was incorrect
Rob loaded 4 trucks in 4 minutes. At that rate, how many trucks would
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Answers

1,920 trucks in eight hours

Answer:

Step-by-step explanation:hhhhh

rfrFirst try was incorrect

Rob loaded 4 trucks in 4 minutes. At that rate, how many trucks would

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Answers

Answer:

244

Step-by-step explanation:

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Answers

Answer:

21/50

Step-by-step explanation:

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Fraction of those that wear red cap = 3/5 of 7/10

Fraction of those that wear red cap = 3/5*7/10

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer options are
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Answers

Answer:

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Step-by-step explanation:

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