Find four consecutive integers such that twice the sum of the two greater integers exceeds three times the first by 91

Answers

Answer 1

Answer:

Answer:

81, 82, 83, 84.

Step-by-step explanation:

Let x represent 1st integer. Then the next three consecutive integers would be $x+1,x+2\text{ and }x+3$ .

We have been given that twice the sum of the two greater integers exceeds three times the first by 91. We can represent our given information in an equation as:

$2(x+2+x+3)=3x+91$

Let us solve for x.

$2(2x+5)=3x+91$

$4x+10=3x+91$

$4x-3x+10=3x-3x+91$

$x+10=91$

$x+10-10=91-10$

$x=81$

Therefore, the 1st integer would be 81.

The next three consecutive integers would be:

$81+1=82\n81+2=83\n81+3=84$

Therefore, our required four consecutive integers are 81, 82, 83, 84.

Answer 2

Answer:

Final answer:

To find four consecutive integers, set up an equation using the given information and solve for x. The four consecutive integers are -86, -85, -84, and -83.

Explanation:

To find four consecutive integers, we can let the first integer be x. The next three consecutive integers would then be x+1, x+2, and x+3. According to the given condition, twice the sum of the two greater integers (x+2 + x+3 = 2x+5) exceeds three times the first integer (3x) by 91. So, we can set up the equation 2x+5 = 3x + 91 and solve for x.

Subtracting 2x from both sides yields 5 = x + 91. Subtracting 91 from both sides gives -86 = x. Therefore, the four consecutive integers are -86, -85, -84, and -83.

Learn more about Consecutive Integers here:

brainly.com/question/35707212

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Answers

Answer:

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Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket, how much did he have left out of $100 bill?

Answers

Answer:

$49

Step-by-step explanation:

We have been given that Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket.

First of all, we will find amount of bill after 15% discount by finding 85% of $50 as:

$\text{Bill after 15 percent discount}=\$50* (85)/(100)$

$\text{Bill after 15 percent discount}=\$50* 0.85$

$\text{Bill after 15 percent discount}=\$42.5$

Amount paid in tip would be 20% of $42.5, so total amount paid after 20% tip would be 42.5 plus 20% of $42.5.

$\text{Total amount of bill after tip}=\$42.5+\$42.5* (20)/(100)$

$\text{Total amount of bill after tip}=\$42.5+\$8.5$

$\text{Total amount of bill after tip}=\$51$

Now, we will subtract $51 from $100 to find amount of change that is $\$100-\$51=\$49$

Therefore, Eric will get $49 in change.

Answer:

Step-by-step explanation:

50*0.85 (15% off) = 42.5, 42.5*1.20 (20% tip) = 51, 100-51 = 49

What are the roots of the quadratic equation 0= 8x^2+14x ?

Answers

8x^2+14x=0
Take 2x as a common factor:
2x(4x+7)=0
Take 2 cases:
2x=0 or 4x+7=0
2x=0 x=0
4x+7=0 4x=-7 x=-7/4

The roots are 0 or -7/4.

Hope this helps :)

Marilyn has two credit cards, D and E. Card D has a balance of $691.64, and Card E has a balance of $1,014.22. The minimum monthly payment on Card D is 3.57% of the total balance, and the minimum monthly payment on Card E is 2.51% of the total balance. How much greater is the minimum payment on Card E than on Card D? a. $18.85 b. $8.10 c. $11.24 d. $0.77

Answers

Answer:

D. $ 0.77

Step-by-step explanation:

Given,

In card D,

Balance = $ 691.64,

Percentage of minimum monthly payment = 3.57%,

Thus, the minimum payment = 3.57% of 691.64

$=(3.57* 691.64)/(100)$

$=(2469.1548)/(100)$

≈ $ 24.69,

In card E,

Balance = $ 1,014.22,

Percentage of minimum monthly payment = 2.51%,

Thus, the minimum payment = 2.51% of 1014.22

$=(2.51* 1014.22)/(100)$

$=(2545.6922)/(100)$

≈ $ 25.46,

∵ Minimum payment in card E > Minimum balance in card D,

Thus, the difference between minimum balance in card E and minimum balance in D = 25.46 - 24.69 = $ 0.77

Hence, OPTION D is correct.

the answer is D-$0.77, i need 20 characters for this to be answer so this is all extra.

Help on gradpoint!!!

Answers

I think the 3rd one, please let me know if I'm wrong. I don't want to give others the incorrect answer.

Step-by-step explanation:

2 x -3(x)- 1(y)- 2 x -1(z)= -5

Answer:

(-3,1,-1)............

49.5 is what percent of 33?

Answers

$\begin{array}{ccc}33&-&100\%\n\n49.5&-&p\%\end{array}\n\ncross\ multiply\n\n33\cdot p=49.5\cdot100\ \ \ \ /:33\n\np=(4950)/(33)\n\np=150\n\nAnswer:150\%.$