An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70

<u>Solution:</u>

Given that, Bill spent 70 on fertilizer and weed killer for his lawn

Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50

We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.

Now,<em> total amount = amount for fertilizers + amount for weed killers.</em>

Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.

$\begin{array}{l}{\rightarrow 70=x \times 0.50+y \times 3.50} \\\\ {\rightarrow 0.5 x+3.5 y=70}\end{array}$

Hence, the equation is 0.5x + 3.5y = 70

5 0

2 years ago

the excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles up stream and to return. If the rate at w

MissTica

Let V, be the rate in still water and let C = rate river current
If the boat is going :
upstream, its rate is V-C and if going
downstream, its rate is V+C,
But V = 5C, then
Upstream Rate: 5C - C = 4 C
Downstream rate: 5C+C = 6C

Time = distance/Rate, (or time = distance/speed) , then:
Upstream time 12/4C and
Downstream time: 12/.6C

Upstream time +downstream time:= 2h30 ' then:

12/4C + 12/.6C = 2.5 hours
3/C + 2/C = 5/2 (2.5 h = 5/2)
Reduce to same denominator :
5C = 10 and Rate of the current = 2 mi/h

4 0

3 years ago

The volume of a cube is given by the expression 3 and its surface area is given by the expression 62, where s is the length of t

Zigmanuir [339]

V=s³
SA=6s²

sub 2 for s
V=2³=8 cubic inches
SA=6(2²)=6(4)=24 square inches

8 0

3 years ago

A bakery supplier receives an order for 2 Tons of sudar from a bakery chain. The sugar is shipped in crates. Each crate holds ei

stich3 [128]

We know that 1 ton=2000 lbs
we have 2 tons=4,000 lbs
each crate holds 10 lbs of sugar
4,000/10=400 crates

3 0

2 years ago