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GenaCL600 [577]
3 years ago
10

Bob has a recipe for salad dressing. The recipe says to mix 1/4 cup lemon juice, some mustard, and some vinegar to make a total

of 5/8 cups salad dressing. How much lemon juice does he need to make a total of 4 cups of salad dressing?
Mathematics
2 answers:
goldenfox [79]3 years ago
5 0

Step-by-step explanation:

1/4*x + 1/8*x + 1/4 * x = 4 cups

5/8 * x = 4 cups                    Multiply both sides by 8/5

5/8 * 8/5 x = 4  8/5

x = 32/5

x = 6.4

That means that each ingredient must be multiplied by 6.4

1/4 * 6.4 = 1.6 cups lemon juice

1/8 * 6.4 = .8  cups mustard

1/4 * 6.4 = 1.6 cups vinegar

Total = 4 cups.

SVETLANKA909090 [29]3 years ago
5 0
Answer:
Step-by-step explanation:
1/4*x + 1/8*x + 1/4 * x = 4 cups
5/8 * x = 4 cups Multiply both sides by 8/5
5/8 * 8/5 x = 4 8/5
x = 32/5
x = 6.4
That means that each ingredient must be multiplied by 6.4
1/4 * 6.4 = 1.6 cups lemon juice
1/8 * 6.4 = .8 cups mustard
1/4 * 6.4 = 1.6 cups vinegar
Total = 4 cups.
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One circular table has a diameter of 9 ft, and another circular table has a diameter of 20 ft. How much greater is the area of t
morpeh [17]
Smaller circle:
diameter = 9 ft
radius = diameter/2 = (9 ft)/2 = 4.5 ft
A = pi(r^2) = 3.14159 * (4.5 ft)^2 = 63.62 ft^2

Larger circle:
diameter = 20 ft
radius = diameter/2 = (20 ft)/2 = 10 ft
A = pi(r^2) = 3.14159 * (10 ft)^2 = 314.159 ft^2

Difference = larger are - smaller area

Difference = 314.16 ft^2 - 63.62 ft^2 = 250.54 ft^2

Answer: About 251 ft^2
5 0
3 years ago
8-35. Use your knowledge of polygons to answer the questions below, if possible.
Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is 1980^0

Then:

(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13

The polygon has <u>13 sides.</u>

II. If the Interior angle is 900^0

Then:

(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: \frac{360^0}{n}

If the exterior angle of a regular polygon is 90°

Then:

90\°=\frac{360^0}{n}\\ 90n=360\\n=4

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is:  \frac{(n-2)180^0}{n}

For a pentagon, n=5

Then:

\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

57+74+56+66+x=360^0\\253+x=360\\x=107^0

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180=1620^0

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

3 0
3 years ago
determine if you can use the HL congruence theorem to prove the triangles congruent. if not, tell what else you need to know
kherson [118]
I need an actual picture to solve this
4 0
3 years ago
Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
3 years ago
PLS answer quick
Stolb23 [73]

The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.

<h3>How to Find the Volume of a Composite Solid?</h3>

The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.

Volume of cylinder = πr²h

Volume of hemisphere = ⅔πr³

Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.

Learn more about volume of composite solid on:

brainly.com/question/23642076

#SPJ1

7 0
2 years ago
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