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2 years ago

Write an expression that shows how to multiply 7 x 256 using expanded form and Distributive property.

1 answer:

6 0

To multiply any number using expanded form and Distributive property, we need two steps:
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.

Step 1.
7 x 256 = 7 x (200 + 50 + 6)

Step 2.
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

Hence, the complete expression should look like:
7 x 256 = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

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Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)le

Charra [1.4K]

Answer:

$y = \frac{4}{3}x - 12$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,-8)$

$(x_2,y_2) = (6,-4)$

Required

Determine the equation

First, we need to determine the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-4 - (-8)}{6 -3}$

$m = \frac{-4 +8}{3}$

$m = \frac{4}{3}$

Next, we determine the line equation using:

$y - y_1 = m(x - x_1)$

Where

$m = \frac{4}{3}$

$(x_1,y_1) = (3,-8)$

$y - (-8) = \frac{4}{3}(x - 3)$

$y +8 = \frac{4}{3}(x - 3)$

$y +8 = \frac{4}{3}x - 4$

$y = \frac{4}{3}x - 4 - 8$

$y = \frac{4}{3}x - 12$

8 0

1 year ago

Read 2 more answers

At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equa

mixas84 [53]

2x+15y=2,960 would be the equation

5 0

2 years ago

Read 2 more answers

Kim bought 12 boxes of drinks

salantis [7]

Answer:

The amount Kim sold each reduced price drink is $1.25 each

Step-by-step explanation:

The number of boxes of drinks Kim bought = 12 boxes

The amount Kim paid for each box = $15

The number of drinks in each box = 12 drinks

The amount Kim sild 3/4 of the drinks = $1.50 each

The amount Kim sold the remaining drinks = At a reduced rate

The amount of profit Kim made = 15%

Therefore, we have;

The total amount Kim bought the whole drinks = 12 × $15 = $180

The total number of drinks = 12 × 12 = 144 drinks

3/4 of the drinks = 3/4×144 = 108 drinks

The amount Kim sold the 108 drinks = 108 × $1.5 = $162

The amount of profit Kim made = 15%

Therefore;

(((The total amount Kim sold the whole drinks) - (The total amount Kim bought the whole drinks))/(The total amount Kim bought the whole drinks)) × 100 = Percentage profit

(((The total amount Kim sold the whole drinks) - ($180))/($180)) × 100 = 15%

The total amount Kim sold the whole drinks = 0.15×$180 + $180 = $207

The total number of the remainder of the drinks = 144 - 108 = 36 drinks

The amount Kim sold the remainder of the drinks = $207 - $162 = $45

The amount Kim sold each of the remainder of the drinks at reduced price = $45/36 = $1.25

Therefore, the amount Kim sold each reduced price drink = $1.25 each.

8 0

2 years ago

Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant.

RUDIKE [14]

Answer:

0 < k < 2

Step-by-step explanation:

In the first quadrant both of x and y get positive values, so

x > 0 and y > 0

x = 2k, k > 0

And replacing x with 2k in the second equation:

3x + 2y = 12
3*2k + 2y = 12
2y= 12 - 6k
y = 6 - 3k

Since y > 0:

6 - 3k> 0
2 - k > 0
k < 2

Combining both k > 0 and k < 2, we get:

0 < k < 2

3 0

2 years ago

Read 2 more answers

A washer contains a drum that spins at 750 revolutions per minute. To the nearest hundredth, the angular velocity of the drum is

LenaWriter [7]

For this case, the first thing we must do is to take into account the following transformation of units:
1 revolution = 2pi radians
1 minute = 60 seconds
Applying the transformation of units we have:
$(750) * (1/60) * (2 * pi) = 78.54 rad / sec
$
Answer:
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.

8 0

2 years ago