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stepan [7]
3 years ago
14

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar at this rate how many cups of sugar should be us

ed if 5 cups of flour is included
Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
The answer would be 5/3 or 1 2/3
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The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width
fiasKO [112]

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = \frac{5 + 75.9}{8}  or \frac{5 - 75.9}{8}

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

3 0
2 years ago
Find the area of the shaded region for the given figure in terms of x.
Vlada [557]

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

4 0
2 years ago
Which of the following values of y will result in a true statement when substituted into the given equation?
strojnjashka [21]

Answer:

A. -0.8

Step-by-step explanation:

non of the other answers will work because they are positive.

5 0
2 years ago
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PLS HELP! WILL GIVE BRAINLIEST!
Dvinal [7]

Answer:

I think the answer is 7.06cm

Step-by-step explanation:

cos28°=b(AB)/h(8)

AB=7.06cm

7 0
2 years ago
Help please will give brainiest!<br> Write the equation of the line in Slope-Intercept form.
Illusion [34]

Answer:

Y=-2/3+4

Step-by-step explanation:

The slope of the equation can be solved with

2-4/3-0 y2-y1 divide by x2-x1 which gives 3/2 and the y intercept the point at which the slope hits the y intercept which is 4. Also the slope is negative as it’s pointed downwards.

6 0
3 years ago
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