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2 years ago

8

He gave out half of the cookies in the morning. At lunch, he gave out 14 more. He then had 8 cookies left. How many cookies did

he start with?

1 answer:

Vsevolod [243]2 years ago

3 0

Answer:

44 cookies

Step-by-step explanation:

add the remaining cookies to the ones he gave away

(8+14)=22

double that

22x2

answer

44

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Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

<em>On adding the fractions:</em>

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

<em>Multiplying both sides by 4 we get:</em>

⇒ $12x=63$

<em>Dividing both sides by 12 we get:</em>

⇒ $x=\frac{63}{12}$

<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

4 0

2 years ago

Maria compró una blusa con valor de $300, sólo pagó $240. ¿Cuál fue el porcentaje de descuento que le hicieron?

Nostrana [21]

300 - 240 = 60

60 = 20%

Respuesta:El descuento fue del 20%.

Espero te sirva :

5 0

2 years ago

Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a

Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2) (n-2)= $mn/2$

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

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3 years ago

I’ll give brainliest to whoever answers thiss

andrey2020 [161]

Answer:

21.25

Step-by-step explanation:

diagonal is 21.25

the area is 216.75

the perimeter is 59.5

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2 years ago

Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete

Alja [10]

Answer:

4.4 feet.

Step-by-step explanation:

Just subtract the lower from the higher jump.

28.65 - 24.25

= 4.4 feet.

5 0

3 years ago