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ch4aika [34]
3 years ago
10

5. Evie and sophia are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61⁄3 tons. How ma

ny loads, , will it take for evie and sophia to haul all of the cement in their pickup truck, which can carry 3⁄4 ton?
Mathematics
1 answer:
lana [24]3 years ago
4 0
Divide 6 1/3 by 3/4
first, convert 6 1/3 to an improper fraction
6 1/3 --> 19/3
make the denominators match
19/3 --> 76/12
3/4 --> 9/12
then multiply 76/12 by the reciprocal of 9/12 (which is 12/9)
cross reduce, you get 76/9
convert back to a mixed number
76/9 --> 8 4/9
it would take 9 loads
You might be interested in
Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u
yuradex [85]

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

<em>Additional comment</em>

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

7 0
1 year ago
The gardeners at Middleton Place Gardens want to plant a total of 41 white and pink hydrangeas in one flower bed. In another flo
aev [14]

Answer:

The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.

Step-by-step explanation:

Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.

So, x + y = 41 {Given} ........... (1)

Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.

So, 2x + 3y = 108 ........ (2)

Now, solving equations (1) and (2) we get,

3y - 2y = 108 - 82 = 26

⇒ y = 26

And from equation (1) we get,

x = 41 - 26 = 15.

So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.

And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)

7 0
3 years ago
I forgot how to do this. Can anyone help me please
Svetach [21]

Answer:

34

Step-by-step explanation:

180 since it is supplementary

then minus 100 which is 80 then minus 12 which is 68 then half that which is 34

7 0
2 years ago
Read 2 more answers
Given: g(x) = Vx – 4 and h(x) = 2x – 8.<br> What is g(h(10))?
Iteru [2.4K]

Answer:

g(h(10)) = 43

Step-by-step explanation:

Given: g(x) = 4x – 4 and h(x) = 2x – 8.

We are to find g(h(10))

First we need to get g(h(x))

g(h(x)) = g(2x-8)

Replace x in g(x) with 2x-8 as shown:

g(2x-8) = 4(2x-8)-4

g(2x-8)= 8x-32-5

g(2x-8) = 8x-37

Hence g(h(x)) = 8x-37

g(h(10)) = 8(10)-37

g(h(10)) = 80-37

g(h(10)) = 43

Hence g(h(10)) is 43

6 0
3 years ago
Alguien puede ayudarme en esto
Montano1993 [528]
Lo siento, español no es mi primer lengua, pero trataré ayudar. ¿Qué significa L1, L2, y L3? No recuerdo.
Necesita multiplicar
x-3 • x+2
x-2 • x-1
Pero, obtendrías esto, y no ayudaría
x^2-6 = x^2+2
Es imposible resolver para x con eso.
Creo que la respuesta es e. no existe tal valor para x

7 0
3 years ago
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