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Andrei [34K]
3 years ago
13

Tim dug a hole that was 16 1/2 inches deep.He left a pile of dirt next to the hole that was 8 3/4 inches high.Show how you could

use subtraction to find the distance from the top of the pile of dirt to the bottom of the hole.
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

But what the question requested was the distance from the top of the dirt to the bottom of the hole

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Find the absolute maximum and minimum of the function on the given domain. f (x comma y )equals 8 x squared plus 7 y squared on
pickupchik [31]

Answer:

the maximum value is 7

The minimum value is 0

Step-by-step explanation:

Step One : Interpret the question

       The above question can be written like

The Equation

            f(x,y) = 8x^2 +7y^2

The diagram of the triangular plate and the bounded lines is shown on the first uploaded image

          From the diagram  f(0,0) = 8(0)^2 +7(0)^2 =0

                                          f(1,0) =8(1)^2 + 7(0)^2 = 8

                                          f(0,1) =8(0)^2 + 7(1)^2 = 7

Partial differentiation of the equation w.r.x

                           A =\frac{\delta f}{\delta x }  = 16x

 Partial differentiation of the equation w.r.y

                          B =\frac{\delta f}{\delta y }  = 14y            

Looking at the diagram the maximum value is 7 i.e  at (x , y) = (0,1)

The minimum value is 0 i.e  (x , y) = (0,0)

3 0
3 years ago
. A business-woman sold a gas cooker for $1209.60 making a profit of 12% on the cost price. Calculate the cost price of the gas
KiRa [710]

Answer:

$1080

Data given:

selling price (SP): $1209.60

percentage profit: 12%

To calculate out percentage profit

profit% = gain/cost price × 100

gain = selling price - cost price

hence we have:

(1209.60 - cost price)/cost price ×100 = 12

when we cross multiply

we have 12costprice = (1209.60×100)-(100×cost price)

12CP=120960-100CP

collect like terms

12CP+100CP = 120960

112CP=120960

divide both sides by the coefficient of CP

CP = $1080

4 0
3 years ago
Help me please come on please.
Alexeev081 [22]
I agree with 11.5 pounds
7 0
3 years ago
PLEASE HURRY‼️‼️ 10 points
nikklg [1K]

Answer:

y=x+7

Step-by-step explanation:

all the y values are 7 more than the corresponding values of x

3 0
3 years ago
In the system if linear equations below a and b are constants.The solution to the systems is 5,1
dalvyx [7]

Answer:

Step-by-step explanation:

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

b = 78/26

hence b = 3 , and a = 7

6 0
2 years ago
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