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IgorLugansk [536]
3 years ago
7

. One-fifth of the plants in a garden are grape tomato plants. Two-ninths of the plants in the garden are cherry tomato plants.

The garden has 18 grape tomato plants and 20 cherry tomato plants. How many other plants are in the garden
Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:52

Step-by-step explanation:

Given

one-fifth of the plants in a garden are grape tomato plant

two-ninth of the plants in the garden are cherry tomato plants

Also there are 18 grape tomato and 20 cherry tomato plants.

Let Total plants be x

Then Grape tomato plants =\frac{x}{5}=18

x=90

thus there are total of 90 plants

also grape tomato+cherry tomato=18+20=38

Thus there are 90-38=52 remaining plants.

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Factorise fully <br> -x-5
liraira [26]

The fully factorized version of  -x-5 is -1 \times (x+5).

What is Factorization?

Usually, factorization or factoring means writing a number (or another mathematical object) as a product of minor or more uncomplicated objects of the same kind.

Given -x-5 is a linear expression.

For factorizing, first, make the coefficient of x positive. For this take -1 common.

⇒ -x-5 = -1\times(x+5)

Now take the greatest common divisor (gcd) of absolute values of coefficients in x+5.

⇒ gcd(1,5) = 1.

Now take gcd 1 common in the expression.

⇒ -1\times1\times(x+5)

⇒ -1\times(x+5).

∴ The fully factorized version of -x-5 is -1\times(x+5).

Learn more about factorization here:

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Step-by-step explanation:

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3 years ago
Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar
Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

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48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

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4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

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Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

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