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AURORKA [14]
3 years ago
13

Fred is making a fruit salad the ratio of cups of peaches to cups of cherries is 2:3 how many cups of peaches will feed need to

make 60 cups of fruit salad
Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0

Answer:

24 cupsnof peaches

Step-by-step explanation:

The question says that Fred is making a fruit salad the ratio of cups of peaches to cups of cherries is 2:3 how many cups of peaches will feed need to make 60 cups of fruit salad

---Since both of them share the ratio of 2:3,them we can find out the number of cup of peaches required to make 60 cups of salad.

The ratio of peaches is 2

While that of cherries is 3

--- sum of their ratios is 5

For peaches,it will be

2/5 × 60 = 120/5

= 24 cups of peaches

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8 0
3 years ago
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The base and height of a rectangle are 134.4 and 98.46, find the sum of the lengths of the two diagonals of the rectangle?
Len [333]

Answer:

232.86

Step-by-step explanation:

134.4

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3 0
2 years ago
Three sevenths of a children's choir are boys. If there are 12 boys in the choir, how many children, c, total are in the choir?
ruslelena [56]

Answer:

Here c represents the total number of children  in choir.

As per the statement:

Total number of boys in choir = 12

It is also given that: Three sevenths of a children's choir are boys.

⇒ Total number of boys = \frac{3}{7} c

or

12 = \frac{3}{7}c

By cross multiply we have;

84 = 3c

Divide both sides by 3 we have;

c = 28

Therefore, the total number of children in choir is 28 children


6 0
3 years ago
Read 2 more answers
In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak
Svetradugi [14.3K]

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Information \: provided \:  with  \: us }}}}}\: \bigstar}

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

  • ➻ n (B) = 25

  • ➻ n (A∪B) = 40

  • ➻ n(A∩B) = ?

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>

━━━━━━━━━━━━━━━━━━━━━━

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

6 0
2 years ago
How do I find the area of the shaded region? Thanks!!
bazaltina [42]

Answer:

The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.

Circle Radius = 16 / sq root (3)

Circle Radius = 9.237604307

Circle Area = PI * radius ^ 2

Circle Area = PI * 85.3333333333

Circle Area = 268.083

Equilateral Triangle area = side^2 * sq root (3) / 4

Equilateral Triangle area = 16^2 * 0.4330127019

Equilateral Triangle area = 110.85

Shaded region = 268.083 - 110.85

Shaded region = 157.233

Step-by-step explanation:

7 0
3 years ago
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