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3 years ago

Write a vector equation of the line that passes through P(4, 7) and is parallel to a = (3, 8).

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

(x,y) = P + (a)t

(x,y) = (4,7) + t(3,8)

(x,y) - (4,7) = t(3,8)

(x-4, y-7) = t(3,8)

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Three children together have 50 toys,Harry has 10 less toys than Mark. Sue has twice as many toys as Harry. How many toys does e

Alexeev081 [22]

Answer:

Harry = 10 toys

Mark = 20 toys

Sue = 20 toys

Step-by-step explanation:

H + M + S = 50

H = M - 10

S = 2H

Harry = 10 toys

Mark = 20 toys

Sue = 20 toys

5 0

3 years ago

Which quantities in the advertisement represent a unit rate? 3 white shirts to 2 black shirts 2 black shirts for every 5 shirts

Finger [1]

Answer:

The Quantity 10$ per shirt represent a unit rate .

Step-by-step explanation:

Given:

There are 3 white shirts and 2 black shirts . per 10$ dollar.

To find:

Which quantities represent the unit rate ?

Solution:

Total of 5 shirts .

which means total of 50 dollar among 5 shirts.

i.e.50/5=10 dollars .

Hence each shirt causes 10 dollars or 10$ per shirt.

The Quantity 10$ per shirt represent a unit rate .

7 0

3 years ago

Read 2 more answers

What is 240 fl oz equal to in cups

Wewaii [24]

What is 240 fl oz equal to in cups?

1 fl oz = 0.125 cups

Convert:-

240 × 0.125 = 30

<span>240 fl oz = 30 cups</span>

7 0

3 years ago

If the slope and a point of a line are given, then the equation of the line can be written in point-slope form.

skelet666 [1.2K]

The answer is true .
Becasue Point - slope form : y - y1 = m ( x - x1 )
( x1 , y1 ) is the point given ; m = slope is given .

3 0

2 years ago

Read 2 more answers

The cost of a floral bouquet after a discount is applied is represented by the function below, where x represents the number of

galina1969 [7]

The average rate of change over the interval $(12,24)$ is 2.17

Explanation:

Given that the cost of a floral bouquet after a discount is given by the function $f(x)=2.17x-10.00$

We need to determine the average rate of change over the interval $(12,24)$

The average rate of change can be determined using the formula,

$\frac{f(b)-f(a)}{b-a}$

where $a=12$ and $b=24$

Substituting the value of a and b in the function, we get,

$f(12)=2.17(12)-10.00$

$=26.04-10.00$

$=16.04$

$f(24)=2.17(24)-10.00$

$=52.08-10.00$

$=42.08$

Hence, substituting these values in the formula, we get,

$\frac{f(b)-f(a)}{b-a}=\frac{42.08-16.04}{24-12}$

Simplifying, we get,

$\frac{f(b)-f(a)}{b-a}=\frac{26.04}{12}$

Dividing, we have,

$\frac{f(b)-f(a)}{b-a}=2.17$

Thus, the average rate of change over the interval $(12,24)$ is 2.17

7 0

3 years ago