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LuckyWell [14K]
2 years ago
5

Can someone please help with this i don’t know that answer and I want to pass

Mathematics
1 answer:
Nataliya [291]2 years ago
5 0

¹¹/48 of the full cup

Step-by-step explanation:

We add the two fraction first to determine the total ratio

¹/4 + ²/3 = ¹¹/12

She uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice

Therefore;

¼ : ¹¹/12

How How much grape juice does Sarah use for each full cup of water, i.e ¹²/12

? (x) : ¹²/12

We cross multiply the ratios;

¹²/12 * ¼ = ¹¹/12 * x

³/12 = ¹¹/12 x

³/12 * ¹²/11 = x

¹¹/48 = x

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A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
irga5000 [103]

Answer:

Step-by-step explanation:

pythagorean theorem. a^2+b^2=c^2

1.5^2+b^2=6^2

2.25+b^2=12

12-2.25=b^2

b^2=9.75

take the square root

b=3.12

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3 years ago
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2 years ago
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It is dinos birthday today. She is 9 years older than tyger. Altogether, their ages add up to 23 years. How old is dino?
nikdorinn [45]

Answer:

7

Step-by-step explanation:

Tyger = x

Dinos = x + 9

Total = 23

x + x+9 = 23

2x + 9 = 23

2x = 23 - 9

2x = 14

x = 14/2 = 7

I hope im right!!

4 0
3 years ago
Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used
xz_007 [3.2K]

Answer:

8/13 cups of sugar

Step-by-step explanation:

Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?

For the above question

1 batch of chocolate chips cookies = 2/13 cups of sugar

4 batches = x

Cross Multiply

x = 4 × 2/13 cups of sugar

x = 8/13 cups of sugar

7 0
2 years ago
Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into th
Bas_tet [7]

Answer:

291111.1cm^3/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}_{out}=12000 cm^3/min

Height of tank,h=6 m

Diameter of top,d=4 m

Radius,r=\frac{d}{2}=\frac{4}{2}=2 m

\frac{dh}{dt}=20 cm/min

\frac{r}{h}=\frac{2}{6}=\frac{1}{3}

r=\frac{1}{3} h

We have to find rate at which water is being pumped into the tank.

Volume of conical ,V=\frac{1}{3}\pi r^2 h

V=\frac{1}{3}\pi(\frac{1}{3} h)^2h=\frac{1}{27}\pi h^3

\frac{dV}{dt}=\frac{1}{9}\pi h^2(\frac{dh}{dt})

h=2 m=200 cm

1m=100 cm

\frac{dV}{dt}_{in}-12000=\frac{1}{9}\pi(200)^2\times 20

\frac{dV}{dt}_{in}=12000+\frac{1}{9}\pi (40000)\times 20

\frac{dV}{dt}_{in}=291111.1cm^3/min

4 0
3 years ago
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