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raketka [301]
3 years ago
8

A. Create a ratio table for making lemonade with a lemon juice-to-water ratio of 1: 3. Show how much lemon juice would be needed

if you use 36 cups of water to make lemonade.
b. How is the value of the ratio used to create the table?
Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0

Answer:

A. we need 12 cups of lemon juice.

B. we multiply the number of cups of water with the ratio of cups of lemon juice per cups of water.

Step-by-step explanation:

Water Lemon Juice

2 0,67

4 1,33

6 2,00

8 2,67

10 3,33

12 4,00

14 4,67

16 5,33

18 6,00

20 6,67

22 7,33

24 8,00

26 8,67

28 9,33

30 10,00

32 10,67

34 11,33

36 12,00

The ratio lemon juice to water 1:3 means that for every cup of lemon juice we must add 3 cups of water. Taking that into account, per every cup of water we are required to add 0,33 cups of lemon juice. To build the table, what we need to do is divide the number of cups of water that we are going to use between the number of cups of water required per every cup of lemon juice. Other way to approach the situation is representing mathematically the concept we just explained. Then, we have:

#Cups_l_e_m_o_n =#Cups_w_a_t_e_r*(#Cups_l_e_m_o_n/#Cups_w_a_t_e_r)_r_a_t_i_o

Have a great day! Let me know if I can help you any further :D

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You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space
Aneli [31]

Answer:

<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>

Step-by-step explanation:

Givens

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We need to find each volume to subtract them.

V_{box}=(30cm)^{3}=  27,000 \ cm^{3}

V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}

The difference betweem the box and the sphere is

\Delta V=27,000 - 14,130 = 12,870 \ cm^{3}

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

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1. Which statements are true?
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5 0
3 years ago
What equals 1050 in multiplication?
kakasveta [241]
There is multiple possibilities:

<span>1050 equals 1 times 1050

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1050 equals 35 times 30

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8 0
3 years ago
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a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizon
Anuta_ua [19.1K]

The height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.

Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.

The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.

The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.

When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.

We are asked to find the height of the shorter building, that is, we are asked to find CD.

In ΔCBD,

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or, tan 20° = CD/260,

or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},

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Therefore, the height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

Learn more about heights and distances at

brainly.com/question/2004882

#SPJ4

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