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3 years ago

2, 9, 16, 23, Number pattern expression equations

Mathematics

2 answers:

algol [13]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

2+7 = 9

9+7 = 16

16+7 = 23

We are adding 7 each time

an = a1+ 7(n-1) where an is the nth term a1 is the first term and n is the term number

an = 2 + 7n - 7

an = 7n -5

an+1 = an +7

miskamm [114]3 years ago

4 0

Answer:

Below

Step-by-step explanation:

The sequence first terms are:

● 2, 9, 16, 23

Notice that:

● 23 - 16 = 7

● 16 - 9 = 7

● 9 - 2 = 7

Each time we add 7 to get a new term

● 2 + 7 = 9

To get the next term take the last one and add 7 to it.

● 23 + 7 = 30

The next term is 30

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Ashley brought 7/8 gallon of lemonade to the party. her friends 2/3 drink of it. how many gallons of lemonade did they drink?

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Her friends drink 5/24 gallons of lemonade. (I hope I'm right)

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3 years ago

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:

Neko [114]

Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.

In your equation, h = -3 and k = -8.

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3 years ago

A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds

ehidna [41]

Answer:

5 bags of brand x and 6 bags of brand y.

Step-by-step explanation:

Nutrient requirement for the garden:

39 pounds of nutrient a and

16 pounds of nutrient b

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3 pounds of nutrient a and 2 pounds of nutrient b

Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

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3 0

3 years ago

Solve 0.25[2.5x + 1.5(x – 4)] = –x.

zheka24 [161]

Answer:

X = 0.75

Step-by-step explanation:

0.25[2.5x + 1.5(X-4)]= -X

0.25[2.5x + 1.5x - 6] = -x

0.25[4x -6] = -x

1x + x = 1.5

2x = 1.5

x = 1.5/2

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8 0

3 years ago

The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or

tigry1 [53]

Answer-

The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%

Solution-

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

$P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}$

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}$

$P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67$

Putting these values,

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%$

5 0

3 years ago