All categories

2 years ago

Jorge, sandra, danny, and valeria each mowed lawns after school and on the

Mathematics

1 answer:

Ronch [10]2 years ago

8 0

Jorge mowed 18 lawns.

Let the number of lawns mowed by Jorge =x

So according to the question

Number of lawns mowed by sandra = x/3

Number of lawns mowed by Danny =x/2

Number of lawns mowed by Valeria =16

sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.

$x+\frac{x}{3} +\frac{x}{2} +16=49$

taking LCM as 6 and solving further we get

$\frac{6x+2x+3x+96}{6} =49$

By cross Multiplying we get

11x+96=294

11x=198

Solving further for x,

x=198/11

x=18

Therefore, the number of lawns mowed by Jorge is 18 .

Learn more about Ratio here brainly.com/question/15271657

#SPJ4

You might be interested in

The backyard is shape of a rectangle it's lengths is 32 feet and it's width is 21 each pack of seed covers 12 square feet. How m

almond37 [142]

idk bc im dumbbbbbbbbbbbbbbb

6 0

3 years ago

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater

noname [10]

Answer:

$ 327.08

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

⇒ Length of the container = 2w,

If h be the height of the container,

So, the volume of the container = length × width × height

= 2w × w × h

= 2w² h

According to the question,

$2w^2h=10$

$\implies h=\frac{10}{2w^2}=\frac{5}{w^2}$

Now, the area of the base = length × width

$=2w^2$

Area of sides = 2 × length × height + 2 × width × height

$=2\times 2w\times h+2\times w\times h$

$=4w\times \frac{5}{w^2}+2w\times \frac{5}{w^2}$

$=\frac{20}{w}+\frac{10}{w}$

$=\frac{30}{w}$

Since, material for the base costs $20 per square meter and material for the sides costs $12 per square meter,

Hence, total cost,

$C(w) = 2w^2\times 20 +\frac{30}{w}\times 12$

$C(w)=40w^2+\frac{360}{w}$

Differentiating with respect to w,

$C'(w) = 80w - \frac{360}{w^2}$

Again differentiating with respect to w,

$C''(w) = 80 +\frac{720}{w^3}$

For maxima or minima,

C'(w) = 0

$80w - \frac{360}{w^2}=0$

$80w^3-360=0$

$80w^3=360$

$\implies w=\sqrt[3]{\frac{360}{80}}=1.65096362445\approx 1.651$

For w = 1.651, C''(w) = positive,

Thus, cost is minimum for width 1.651 meters,

And, the minimum cost = C(1.651) = $40(1.651)^2+\frac{360}{1.651}=\$327.081706869\approx \$ 327.08$

3 0

4 years ago

This graph shows how the length of time a canoe is rented is related to the rental cost . What is the rate of change shown in th

kherson [118]

Answer:

C. $6 per hour.

Step-by-step explanation:

Pick a convenient point on the graph. The rate of change is the

y coordinate / x coordinate.

So we pick the point near the top right corner where y = 30 and x = 5 which gives us the answer 30/5 = 6.

6 0

4 years ago

Read 2 more answers

Darrel is currently 20 feet below sea level which correctly describes the opposite of Darrel elevation

Nookie1986 [14]

It would be 20 feet above sea level.

4 0

3 years ago

Read 2 more answers

PLZ HELP ME I WILL GIVE U BRAINLIEST!!!

mrs_skeptik [129]

9514 1404 393

Answer:

A) $8/bushel (divide dollars by bushels)

B) $2

Step-by-step explanation:

A) We observe that the graph is a straight line through the origin, so we know the price is proportional to the quantity. The "rate of change" is the ratio of price to quantity, which can be figured using any point on the graph.

For easy division by quantity, it is convenient to use the point for 10 bushels. That price is $80, so the "rate of change" is ...

price per bushel = $80/10 = $8 . . . per bushel

B) The same calculation can be done for the previous year. Any line of the table will do.

price per bushel = $12/2 = $6

The current year price is greater by ...

$8 -6 = $2 . . . per bushel

3 0

3 years ago

Read 2 more answers