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3 years ago

1. What is asked in the problem?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

5 0

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment

Solving (1): What is asked

The requirement of the question is to determine the difference between the amount of sugar used between yesterday and today

Solving (2): The given facts

$Yesterday = \frac{9}{10}kg$

$Today = \frac{3}{5}kg$

Solving (3): Operation to be used

We use subtraction operation

Solving (4): The mathematical sentence

$D = Yesterday - Today$

$D = \frac{9}{10}kg - \frac{3}{5}kg$

D represents the difference

Solving (5): The solution

$D = \frac{9}{10}kg - \frac{3}{5}kg$

Take LCM

$D = \frac{9 - 6}{10}kg$

$D = \frac{3}{10}kg$

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Yx2-7 use x =-4 and y = -3

valentinak56 [21]

The answer to this is -21

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3 years ago

For which value(s) of the constant k is the circle x² + (y − k)² = 16 tangent to the line y = 3?

STALIN [3.7K]

Answer:

Step-by-step explanation:Let us find points of intersection of line

3

x

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and we get

x

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or

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+

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2

+

9

x

2

−

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=

256

i.e.

25

x

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−

6

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x

+

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2

−

256

=

0

This would give two values of

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and corresponding two values of

y

i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e.

(

−

6

k

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2

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⋅

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⋅

(

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2

−

256

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or

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20

graph{(x^2+y^2-16)(3x+4y-20)(3x+4y+20)=0 [-10, 10, -5, 5]}

5 0

4 years ago

Read 2 more answers

In a data set with a normal distribution, the mean is 59 and the standard deviation is 3.

Delicious77 [7]

Answer:

Part A: 81.5%

Part B: About 95% of the data lie between 53 and 65.

Step-by-step explanation:

Note: the percentages marked in red and blue never change

For Part A, we add the percentages that are between 53 and 62. So, 34% + 34% + 13.5% which is 81.5%

For Part B, we can look at this graph and seen that 95% of this data set lies between 53 and 65

Hope this is correct and of help!

4 0

2 years ago

a 14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?

Y_Kistochka [10]

In this case u need to divide 10 1/2 by 14 coz theres 14 ones in 14
so 10 1/2 divided by 14 = 0.75
so theres 0.75 sugar in one ounce of drink ;)

5 0

4 years ago

Suppose a rectangular plot is to be fenced in, with the fencing on each of the four sides (labeled east, west, north, south) cos

Damm [24]

Answer:

A = 1701,38 ft²

Dimensions :

x (north and south sides ) = 38.89 ft

y ( east and west sides ) = 43,75 ft

Step-by-step explanation:

North and south (sides of same length) equal "y" cost (4 + 5 ) = 4,5 $/ft²

East and west (sides of same length) equal "x" cost ( 3 + 5 ) = 4 $ /ft²

Equation of cost is

C = Cost of (north + south ) + Cost (east + west)

C = 2 * 4,5 * x + 4*2* y

C = 9x + 8y

700 = 9x + 8y ⇒ y = ( 700- 9x)/ 8

A = x*y

A(x) = x * ( 700 - 9x ) /8

A(x) = ( 700 x -9x²) / 8 A´(x) = ( 700 - 18 x )/ 8 A´(x) = 0

( 700 - 18 x )/ 8 = 0 ⇒ 700 - 18 x = 0 ⇒ x = 700/18

x = 38.89 ft

y = ( 700 - 9x )/8 ⇒ y = 349.99 / 8 ⇒ y = 43.75

And maximum ara is

A = x*y A = 38.89 * 43.75 = 1701,38 ft²

5 0

4 years ago