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2 years ago

What's the slope of this graph

Mathematics

2 answers:

Mashcka [7]2 years ago

8 0

7/8 is he answer hope that helps

Shkiper50 [21]2 years ago

7 0

The slope is 7/8.. :)

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Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually

Lady bird [3.3K]

Answer:

60 minutes including the 15 minute rest.

Step-by-step explanation:

450/10 is 45. Therefore, biking for 45 minutes will loose 450 calories, 10 calories per minute. Maybe half way during the 45 minutes Spencer will take the 15 minute rest. This brings the biking trip 60 minutes.

8 0

3 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b

Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24 : $1,2,3,4,6,8,12,24$

Factors of 60 : $1,2,3,4,5,6,10,12,15,20,30,60$

So,

The greatest common factor of $24$ and $60$ is $12$ .

The number of bags William will used for equal distribution = $12$

Now,

We have to distribute the veggies and fruits in equal number of cans to these $12$ bags.

Number of fruits cans used in each bag = $\frac{24}{12} = 2$

Number of vegetables can used in each bag = $\frac{60}{12} =5$

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0

2 years ago

Simple interest on a bank loan can be calculated by multiplying the principal times the interest rate times the time. In the for

diamong [38]

Answer:

simple interest

Step-by-step explanation:

this is because r is interest rate, p is principal, and t is time

5 0

1 year ago

Read 2 more answers

At a family reunion, a family friend bring 20 lb of ice and 30 cup. Which expression show the greatest common factor , using dis

Zepler [3.9K]

Answer:

10(2+3)

Step-by-step explanation:

We are given that

Ice=20 lb

Cup=30

We have to find the expression which shows the greatest common factor using distributive property of 20 and 30.

We know that distributive property of integers a,b and c

$a\cdot(b+c)=a\cdot b+a\cdot c$

$20=2\times 10$

$30=3\times 10$

$10(2+3)=10\times 2+10\times 3$

Hence, the highest common factor of 20 and 30=10

Expression:10(2+3)

3 0

3 years ago