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2 years ago

What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south?

Mathematics

1 answer:

aniked [119]2 years ago

3 0

Answer:

two blocks east

Step-by-step explanation:

the north and south cancel out and then 3 blocks east - 1 block west = 2 blocks east

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A carpenter is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if they are to

Katen [24]

666 smocced out locced out

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3 years ago

Factor Trinomials:

notka56 [123]

Answer:

1. $2(x+2)(x+5)$

2. $8(x+4)^{2}$

Step-by-step explanation:

Problem #1:

1. Find the GCF (Greatest Common Factor)

$GCF = 2$

2. Factor out the GCF and simplify.

$2(x^{2} +7x+10)$

3. Factor $x^{2} +7x+10$

Which two numbers add up to 7 and multiply to 10?

2 and 5

Rewrite the expression using the above.

$(x+2)(x+5)$

4. Done!

$2(x+2)(x+5)$

Problem #2:

1. Find the GCF (Greatest Common Factor)

$GCF=8$

2. Factor out the GCF and simplify.

$8(x^{2} +8x+16)$

3. Use the perfect square formula. $a^{2} +2ab+b^{2} =(a+b)^{2}$

$a = x\\b=4$

$(x+4)^{2}$

4. Done!

$8(x+4)^{2}$

8 0

2 years ago

Sara can drive 210 miles on 14 gallons of gas. Select all the unit rates to describe this situation.

julia-pushkina [17]

Hello There!

She can drive:
15 miles on 1 gallon of gas
She can drive:
1 mile on 0.0666666 gallons of gas.

Hope This Helps You!
Good Luck :)

- Hannah ❤

5 0

3 years ago

Read 2 more answers

Adult tickets to Space City amusement park cost x dollars. Children's tickets cost y dollars. The Garcia family bought 3 adult a

KengaRu [80]

let the number of adult tickets be x and the number of children tickets be y

3x + y = 164...equ(1)

2x + 3y = 174....equ(2)

multiplying equation 1 by 3

9x + 3y = 492

subtracting equation 2 from 1

7x = 318

x = 45.43 dollars

substituting the value of x into the equation

3(45.428) + y = 164

y = 164 - 3(45.428)

∴y = 27.71 dollars

8 0

3 years ago

Timothy is the manager of a car wash. Last week, there were 40 customers. This week there were 75% more customers than last week

elena-s [515]

Answer:

Step-by-step explanation:

"75% more customers than last week" means (100% + 75%) of 40, or

1.75(40 customers) = 70 customers this week

7 0

2 years ago