All categories

3 years ago

Lucy had 3 2/3 gal of paint. After painting a room she had 1 1/4 gal left how many gallons of paint did Lucy use to paint a room

Mathematics

1 answer:

garik1379 [7]3 years ago

7 0

Answer:

$2 \frac{5}{12}$

gallons of paint was used by Lucy.

Step-by-step explanation:

$3\frac{2}{3} - 1\frac{1}{4} = \frac{44}{12} - \frac{15}{12} = \frac{29}{12}$

29/12 = 2 5/12

You might be interested in

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

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

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

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

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

3 years ago

If a family uses 3.5 gallons of milk per week, how much will his family need for four days?

Ad libitum [116K]

Answer:

Step-by-step explanation:

3.5 gallons = 7 days

3.5/7 = 0.5

0.5 x 4 = 2

3 0

3 years ago

Read 2 more answers

Write the domain and rang of h using interval notation

34kurt

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

3 0

3 years ago

Anyone know how to do this?

vovikov84 [41]

Answer:

no pic , what's the question

4 0

4 years ago

Read 2 more answers

Help with this question !!!

ASHA 777 [7]

Answer:

y=-x+2

Step-by-step explanation:

Take two points and solve for the slope using: (y2-y1)/(x2-x1)=m

Then take the slope and plug it into the slope-intercept equation, y=mx+b.

Finally, take a xy pair and plug it into your equation to solve for b.

3 0

3 years ago