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2 years ago

Write the first 5 terms of the arithmetic sequence useing the give rules

1 answer:

6 0

N= a1+ (nº 1)dWrite rule for nth term.a13= a1+ (13 º 1)dSubstitute 13 for n.30 = a1+ 1232Substitute for a13and d.12= a1Solve for a1.So, a rule for the nth term is:an= a1+ (nº 1)dWrite general rule.= 12 + (nº 1)32Substitute for a1and d.= 221+ 32

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Alex, an eighth grader, and Eric, a seventh grader, need to determine who came closer to their grade’s state record for the trip

4vir4ik [10]

Answer:

alex

Step-by-step explanation:Because 39.85>37

4 0

2 years ago

Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

sergiy2304 [10]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

5 0

2 years ago

Read 2 more answers

Mikhail believes he can use the multiplication expression 1/2x6 to find the total number of

Svetlanka [38]

Answer:

I think the second option is the most appropriate option.

Step-by-step explanation:

Mikhail believes he can use the multiplication expression $\frac{1}{2} \times 6$ to find the total number of pound servings of rice he can make from 6 pounds of rice.