How many pairs of whole numbers can be found with a sum of 12.

Alexa bought a pair of skis for dollar 450. She made a payment of dollar 120 and caught a student discount of dollar 40. Her mot

Sphinxa [80]

If Alexa's mom paid 1/2 of the $450:
$65

if Alexa's mom paid 1/2 of the remaining price:
$145

Alexa's mom paying 1/2 the $450:

$450 divided by 2 = $225
$225 - $120 = $105
$105 - $40 = $65
Alexa has $65 left to pay

Alexa's mom paying 1/2 of the remaining price after the student discount and Alexa payed $120:

$450 - $120 = $330
$330 - $40 = $290
$290 divided by 2 = $145

(hope this helped )

8 0

3 years ago

Traveling math word problem - thank you! :)

Anni [7]

We are given:

car and train leave at the same time

average velocity of car = 50 miles/hour

average velocity of train = 70 miles/hour

train arrives 2 hours early

Assuming variables and making equations!

let the time taken by the train = t hours

since the car arrived late, it took more time as compared to the train

time taken by the car = t + 2 hours

since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d

Distance travelled by the car:

d = 50 $\frac{miles}{hour}$ * (t+2) hours [distance = velocity * time]

d = 50(t+2) miles

rewriting in terms of t

$t = \frac{d-100}{50}$

Distance travelled by the train:

d = 70 $\frac{miles}{hour}$ * t hours

d = 70t miles

rewriting in terms of t

$t = \frac{d}{70}$

now we have two expressions for t, both of which are equal because t is just the time taken by the train

Finding the distance:

$t = \frac{d-100}{50}$

$t = \frac{d}{70}$

because t is the same:

$\frac{d-100}{50} = \frac{d}{70}$

$\frac{d-100}{5} = \frac{d}{7}$

7(d - 100) = 5(d)

7d - 700 = 5d

(7d - 5d) - 700 = 0 [subtracting 5d from both sides]

2d = 700 [adding 700 on both sides]

d = 350 miles [dividing both sides by 2]

The distance between Pasadena and Sacramento is 350 miles!

7 0

2 years ago

What is the length of HG?

Leviafan [203]

Answer:

$HG = 5$

Step-by-step explanation:

Given

$HE = 8mm$

$EF = 12mm$

$Area = 68mm^2$

Find the length of HG

First, it should be noted that the displayed figure is a trapezium

The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;

In this case;

$Area = \frac{HG + EF}{2} * HE$

Substitute the values of Area, HE and EF

$68 = \frac{HG + 12}{2} * 8$

$68 = (HG + 12) * 4$

Divide both sides by 4

$\frac{68}{4} = \frac{(HG + 12) * 4}{4}$

$17 = HG + 12$

Subtract 12 from both sides

$17 - 12 = HG + 12 - 12$

$5 = HG$

$HG = 5$

Hence, the length of HG is 5mm

6 0

3 years ago

2-8x=10 looking for solution

leva [86]

Answer:

Step 1: Simplify both sides of the equation.

2−8x=10

2+−8x=10

−8x+2=10

Step 2: Subtract 2 from both sides.

−8x+2−2=10−2

−8x=8

Step 3: Divide both sides by -8.

−8x ÷ −8

=

8 ÷ −8

x=−1

Answer:

x=−1

☆ Hopefully this helps. :)

♤Mark me the brainliest :)

8 0

3 years ago

Read 2 more answers

Evaluate the expression for the given value of the variable. 51 + 3/7r. R= - 1/2

mel-nik [20]

The answer is -50.429

You would replace the -1/2 where r is at, divide 7& -1/2, then add it to 51

4 0

3 years ago