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3 years ago

To get from your house to school, you walk 2 blocks east and 1 block

Mathematics

1 answer:

ankoles [38]3 years ago

7 0

(2,-1) is the correct pair I hoped this helped :)

this is because east is two to your right and south is one down

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Maria and two friends drove 87.5 miles and averaged 35 miles per gallon. They drove at an average speed of 50 miles per hour, an

zloy xaker [14]

Answer:

a) 2.5 gallons

b) 1.75 hours

c) $3.24/passenger

d) 73.33 feet/second

e) 11.11 cents/mile

Step-by-step explanation:

a) Gallons - amount of gas used:

$A = \frac{1\ gallon}{35\ miles}*87.5\ miles\\ A=2.5\ gallons$

b) hours - time spent on the trip

$B = \frac{1\ hour}{50\ miles}*87.5\ miles\\ B=1.75\ hours$

c) dollars/passenger - amount spent per passenger on gas

$C =\frac{\$3.89}{gallon}*2.5\ gallon*\frac{1}{3\ passengers} \\ C=\$3.24\ /passenger$

d) feet/second - average speed of the trip

$D=\frac{50\ miles}{hour}*\frac{hour}{3,600\ seconds}*\frac{5,280\ feet}{mile}\\ D=73.33\ feet/ second$

e) cents/mile - money, in cents, spent per mile traveled

$E =\frac{\$3.89}{gallon}*\frac{100\ cents}{\$} *2.5\ gallon*\frac{1}{87.5\ miles} \\ E=11.11\ cents /mile$

7 0

3 years ago

What is the positive solution to the equation 0=1/3x^2-3

fgiga [73]

Let's solve your equation step-by-step.0=13x2−3Step 1: Subtract 1/3x^2 from both sides.0−13x2 = 13x2−3−13x2−13x2 = −3Step 2: Divide both sides by (-1)/3.−13x2 − 13=− 3 −13x2 = 9Step 3: Take square root.x=±√9x=3 or x=−3Answer:x=3 or x=−3

3 0

3 years ago

Part A: Factor x2b2 − xb2 − 6b2. Show your work. (4 points)

IrinaVladis [17]

PART A. Notice that we have $b^{2}$ as a common factor in all the terms, so lets factor that out:
$x^{2} b^2-xb^2-6b^2$
$b^2(x^{2} -x-6)$
Now we need can factor $x^{2} -x-6$ :
$b^2(x^{2} -x-6)$
$b^2(x+2)(x-3)$

We can conclude that the complete factorization of $x^{2} b^2-xb^2-6b^2$ is $b^2(x+2)(x-3)$ .

PART 2. Here we just have a quadratic expression of the form $a x^{2} +bx+c$ . To factor it, we are going to find two numbers that will multiply to be equal the c, and will also add up to equal b. Those numbers are 2 and 2:
 $x^{2} +4x+4=(x+2)(x+2)$
Since both factors are equal, we can factor the expression even more:
$x^{2} +4x+4=(x+2)^2$

We can conclude that the complete factorization of $x^{2} +4x+4$ is $(x+2)^2$ .

PART C. Here we have a difference of squares. Notice that 4, can be written as $2^2$ , so we can rewrite our expression:
$x^2-4=x^2-2^2$
Now we can factor our difference of squares like follows:
$x^{2} -2^2=(x+2)(x-2)$

We can conclude that the complete factorization of $x^2-4$ is $(x+2)(x-2)$

7 0

3 years ago

Which number complete the inequality

worty [1.4K]

What’s the numbers??

5 0

2 years ago

trapezoid BIRD is dilated to form trapezoid FROG. What corresponding angles is congruent to angle BIR? Type the answer in the bo

alexdok [17]

The answer is FRO

B is congruent to F

I is congruent to R

R is congruent to O

D is congruent to G

3 0

3 years ago