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3 years ago

The sum of three consecutive integers is 267. What is the largest integer?

1 answer:

7 0

Let the integers be x + (x+1) + (x + 2)

x + (x+1) + (x + 2) = 267 

3x + 3 = 267 
3x = 264 
x = 88 

88+89+90=267 

Largest integer=90 

Another method 

267/3 = 89 

It's the average,so it has to be the middle one. 

Thus 89, then I took 89 - 1 = 88 and 89 + 1 = 90 and just put them in order. 

88+89+90=267 

Largest integer=90

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Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs

Paladinen [302]

Answer:

$20x+10y\ge 2000$

Step-by-step explanation:

Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.

Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.

Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.

In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then

$20x+10y\ge 2000$

Note that $x\ge 0,\ y\ge 0.$

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3 years ago

Jim and Abby each bought burgers and fries from the concession stand at the fair. Jim bought 3 burgers and 2 orders of fries for

Yuri [45]

Answer:

Step-by-step explanation:

3b + 2f = 17

2b + 4f = 18

-6b - 4f = -34

6b + 12f = 54

8f = 20

f = $2.50 fries

3b + 2(2.5) = 17

3b + 5 = 17

3b = 12

b = $4 burger

8 0

3 years ago

Read 2 more answers

Solve 2x2 – 3x = 12 using the quadratic formula.

icang [17]

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: $\frac{3 + \sqrt{105} }{4}$ , $\frac{3 - \sqrt{105} }{4}$

Hope this helps!

8 0

3 years ago

Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t

jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0

3 years ago

Barry wants to make a drawling this is 1/2 the size of the original. If a tree in the original drawling is 11 inches tall and 7

avanturin [10]

Answer: 5.5 inches, 3.5 inches

Step-by-step explanation:

Given

Barry wants to make a drawing i.e. half the size of original

The length and width of the original drawing are 11 inches and 7 inches respectively.

So, the intended drawing is obtained by multiplying the original dimensions by $\frac{1}{2}$