How many 1/2 liter bottles of lemonade can you fill from a 2 1/2 liter container explain your answer

Answer:

10.72

Step-by-step explanation:

a²+b²=c²

->

25²-16²= y²

625-256=y²

V369=y

y≈ 19.21

x²= 22²-y²

x²= 484-369

x= V115

x≈ 10.72

By using Pythagoras theorem the value of x is, 10.7 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure is shown.

Let the unknown side = y

Now, For upper triangle, we can use Pythagoras theorem as;

⇒ 25² = y² + 16²

⇒ 625 = y² + 256

⇒ y² = 369

⇒ y = √369

⇒ y = 19.2

Hence, The value of x is find as by using Pythagoras theorem as;

⇒ 19.2² + x² = 22²

⇒ 368.6 + x² = 484

⇒ x² = 484 - 368.6

⇒ x² = 115.4

⇒ x = √115.4

⇒ x = 10.7 units

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Answer:

a) 15.625 cm²

b) 8 cm²

c) 50 cm²

d) 12 cm²

Step-by-step explanation:

a) area of a parallelogram = base x height

⇒ area of yellow shape = 1/2 x base x height

                                        = 1/2 x 12.5 x 2.5

                                        = 15.625 cm²

b) area of triangle = 1/2 x base x height

                              = 1/2 x 2 x 8

                              = 8 cm²

c) area of a parallelogram = base x height

area yellow parallelogram = (10 x 6) - (5 x 2) = 50 cm²

d) area of a parallelogram = base x height

⇒ area of a 1/2 parallelogram = 1/2 x base x height

⇒ area yellow shape = 1/2 x 12 x 2 = 12 cm²

To find the volume of square pyramid, We use the formula that given below.

[tex] {x}^{2} \times \frac{y}{3} [/tex]

where x is base and y is height. So, let's substitute the values.

[tex] {10}^{2} \times \frac{18}{3} [/tex]

It gives

[tex]600 {cm}^{3} [/tex]

‎ㅤ‎ㅤ‎ㅤ~Volume of the given square pyramid is 600cm³

‎ㅤ

Volume of square pyramid is given by:

[tex] \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}[/tex]

Here, we have:

[tex] \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }[/tex]

[tex] \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }[/tex]

[tex] \quad \dashrightarrow \quad \sf {V = 600cm^3 }[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given square pyramid is 600cm³.

[tex] \rule{350pt}{1pt}[/tex]

Step-by-step explanation:

Let the number of peas in Doris plate be x

now,

x = 40-13

or, x = 37

Therefore there are 37 peas in Dori's plate (would love if you could mark me the brainliest :))

Answer: 10 feet post-1.167 ft shadow

119 feet shadow

Step-by-step explanation: brainliest pls

Answer:

A B and C are correct

Step-by-step explanation:

4 yards = 12 feet = 12x12 = 144 inches

A is correct since 15 feet > 12 feet

B is correct since 150 inches > 144 inches

C is correct since 3 yards + 4 feet = 4 yards and 1 foot > 4 yards

D  is incorrect since 3 feet + 15 inches is 4 feet and 3 inches < 12 feet

E is incorrect since 10 feet + 11 inches < 12 feet

Answer:

Clay bowl because it is on -1168 feet

Answer:

Clay Bowl.

Step-by-step explanation:

The clay bowl has the lowest elevation out of the others. (-1168).

Answer:

2nd choice

Step-by-step explanation:

hope this helps

Answer:

165

Step-by-step explanation:

5% of 150 british pounds = 7.5 British pounds

2 years = 7.5 BS per year

7.5 + 7.5

= 15 british pounds

15 british pounds + 150 british pounds =

165 british pounds

Answer:two real number solutions

Step-by-step explanation:

Answer:

she forgot the exponent on 3.5^3

Step-by-step explanation:

10 x 3.5^3 = 428.7428.75 u^3

The term "dilation" refers to a transformation. The volume of the dilated cube is 428.75 in³.

The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.

As it is given that the volume of the cube is 10 cubic inches, therefore, the side of the cube is,

[tex]\text{Volume of the cube} = a^3\\\\ 10 = a^3\\\\a =\sqrt[3]{10}[/tex]

Now, we know that dilation always applies to dimensions, therefore the new dimension of the dilated cube will be,

[tex]\text{Side of the dilated cube} = \sqrt[3]{10} \times 3.5\rm\ in[/tex]

Further, the volume of the dilated cube can be written as,

[tex]\rm \text{Volume of the Dilated cube} = Side^3\\\\[/tex]

                                           [tex]= (\sqrt[3]{10} \times 3.5)^3\\\\ = (\sqrt[3]{10})^3 \times (3.5^3)\\\\= 10 \times 3.5^3\\\\= 10 \times 42.875\\\\= 428.75\rm\ in^3[/tex]

A.) The mistake that Kiran made is that she didn't take the cube of the scale factor.

B.) The volume of the dilated cube is 428.75 in³.

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Answer:

$69

Step-by-step explanation:

First, we want to focus on the first $300

Multiply 300 by 0.05 to get the commission

300 x 0.05 = 15

Now, we solve for the first 300, let's solve for the remaining sales, which is 600 because 900 - 300 = 600

Multiply 600 by 0.09

600 x 0.09 = 54

Add the two sales commission numbers together

15 + 54 = 69

Answer:

[tex]\sf 4\frac{2}{5}[/tex]

steps to solve:

[tex]\sf 2\frac{3}{4} \ / \ \frac{5}{8}[/tex]

[tex]\sf \frac{11}{4} \ / \ \frac{5}{8}[/tex]

[tex]\sf \frac{11}{4} \ * \ \frac{8}{5}[/tex]

[tex]\sf \frac{88}{20}[/tex]

[tex]\sf \frac{22}{5}[/tex]

[tex]\sf 4\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\sf{\implies\frac{11}{4} \div \frac{5}{8} } \\ \sf{\implies \frac{11}{4} \times \frac{8}{5} } \\ \sf{\implies \frac{22}{5} }[/tex]

2 3/4 =11/4

Step-by-step explanation:

step 1 given

diametre of cylinder 6 cm

height of cylinder 10 cm

using formula

V=Bh

V= 6cm×10cm

V= 60 cm²

Answer:

d step 4

Step-by-step explanation:

hope it helps you on what u are doing

Answer:

∠ 4 = 130°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle , so

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 9 = 6x + 6 + 4x + 14 , that is

11x + 9 = 10x + 20 ( subtract 10x from both sides )

x + 9 = 20 ( subtract 9 from both sides )

x = 11

Then

∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°

your friend may have only calculated ∠ 1

∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

Answer: 65.94

Step-by-step explanation:

Answer:

volume is 1570 cm³

mass is 12560 g

Step-by-step explanation:

1m = 100 cm

the volume is :

1/4 x [tex]\pi[/tex] x 6² x 100 - 1/4 x [tex]\pi[/tex] x 4² x 100

= 900 [tex]\pi[/tex] - 400 [tex]\pi[/tex]              { v = 1/4 [tex]\pi[/tex] d²h }

= 500 [tex]\pi[/tex]

= 500 x 3.14

= 1570 cm³

the mass of the pipe is:

1570 x 8 = 12560 grams

6x + 2 and 3x + 1 are both equal to y, so they are both equal to each other.

6x + 2 = 3x + 1

3x = -1

x = -1/3

And plugging -1/3 in for x yields y = 0.

Answer:

approximately 1 1/2 cups of sugar

Step-by-step explanation:

6 1/2 divided by the 4 gallons is the easiest way to get your answer

Answer:

they are right!!!!!!!

Answer:

figure????

X

610

x=

1

Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Using the z-table, we get the needed probabilities as:

Case 1:

[tex]P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931[/tex]

Case 2:

[tex]P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678[/tex]

Case 3:

[tex]P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957[/tex]

Case 4:

[tex]P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210[/tex]

Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]

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The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.

Market value is the current price of a product, company, or something consorting to the stock of the market.

It is the price which is required to buy something in the current market.

Bonds issued by Animite Energy are selling at a rate of 95.230.  This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.

Now for the 1000 bonds, the amount required is,

[tex]C=95.230\times10\\C=952.30[/tex]

Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,

[tex]d=1000-952.30\\d=47.70[/tex]

Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.

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Answer:c

Step-by-step explanation:

Answer:

y = 153/11

Step-by-step explanation:

Answer: 16/49

Step-by-step explanation:

The probability of pulling a purple marble is 4/7, since 4+3 is 7.
Since the marbles are replaced, the probability does not change when pulling out marbles.

To combine probabilities, we multiply them

[tex]\frac{4}{7} * \frac{4}{7} = \frac{16}{49}[/tex]

Step-by-step explanations

possibility=4+3=7

4/7=4/7

[tex]Dear[/tex] [tex]friend,[/tex]

Aren't you so excited? This fall is when we get into HIGH-SCHOOL! But I have a problem. I need to know what I should wear for the first day! And my hair! Do you have any advice for me, friend? Can you send this letter back with advice, please? Thank you very, very much!

[tex]Sincerely,[/tex]

[tex]Jane[/tex]

Answer:

-(8,-1)

Step-by-step explanation:

Answer:

c. -8,-1

Step-by-step explanation:

Hope this helps.

~Learning with Natalia~