Using the formula , find F if P = 27 and A = 4.

A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

andrew-mc [135]

Answer:

$\frac{19}{12}\ pounds$

or

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

7 0

4 years ago

The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life

krek1111 [17]

$\bf M(x)=c(0.5)^{\frac{x}{h}}\implies 10=36(0.5)^{\frac{x}{4.9}}\implies \cfrac{10}{36}=0.5^{\frac{x}{4.9}}
\\\\\\
\cfrac{5}{18}=0.5^{\frac{x}{4.9}}\implies log\left( \frac{5}{18} \right)=log\left( 0.5^{\frac{x}{4.9}} \right)
\\\\\\
log\left( \frac{5}{18} \right)={\frac{x}{4.9}}\cdot log\left( 0.5 \right)\implies 
\cfrac{4.9\cdot log\left( \frac{5}{18} \right)}{log(0.5)}=x$

5 0

3 years ago

What are the solutions of this equation? 2x = x2 - 4

lilavasa [31]

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x=1+√5 ,1−√5

7 0

4 years ago

A science teacher has 0.4 liter of seawater. She gives each of her 22 students a container and a 5- milliliter spoon. She then a

ELEN [110]

0.4L = 400ml
Each student effectively adds 10ml of water so 22 students are adding 10ml of water each. Therefore, 22 x 10 = 220ml total in all the containers added by all 22 students
Water left = 400 - 220 = 180

The answer is B.

8 0

4 years ago

Expand the following expression 5x(3 – 7y)

Papessa [141]

1. Expand by distributing terms.
5x times 3 + 5x times -7y

2. Simplify 5x times 3 to 15x.
15x + 5x times -7y

3. Simplify 5x times -7y to -35xy.
15x - 35xy

Then you’re done. Hopefully this helps.

3 0

3 years ago