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Delvig [45]
3 years ago
8

Harry and Luna together ate 56 Chocolate Frogs. Harry ate 6 more Chocolate Frogs than Luna. How many Chocolate Frogs did Luna ea

t?
Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer: 25 chocolate frogs eaten by Luna

Step-by-step explanation:

let the amount of chocolate frogs eaten by Luna = x

and the amount of chocolate frogs eaten by Harry = 6+ x

Such that total a,mount of chocolate frogs eaten by both of them

= x +( 6+x) = 56

Step 2- Solving

x+6+x=56

6 + 2x= 56

2x= 56-6

2x= 50

x= 50/2

x= 25

x= 25 chocolate frogs eaten by Luna

6 +x= 6+ 25= 31 chocolate frogs eaten by Harry.

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yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points

A(60,900),B(15,450)

Remember that

m_A_B=m_B_A

step 1

Find m_A_B

substitute in the formula

m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10

step 2

Find m_B_A

substitute in the formula

m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10

therefore

Ernest's calculation was correct, because m_A_B=m_B_A

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

m=\frac{800-300}{50-0}

m=\frac{500}{50}

m=10

therefore

Ernest's calculation was correct

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