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pentagon [3]
2 years ago
5

Isabella and her brother, Santiago, want to make their grandma's famous fruit salad, but they can't remember how to make the hon

ey-lime dressing. They decide to make two versions with different amounts of sweet honey and tangy lime, then compare them. Isabella mixes 4 tablespoons of honey and 2 tablespoons of lime juice. Santiago mixes 5 tablespoons of honey and 4 tablespoons of lime juice. Whose dressing is sweeter?
Mathematics
1 answer:
Talja [164]2 years ago
5 0

Answer:

Isabella

Step-by-step explanation:

4:2, is Isabella's ratio of honey:lime.

5:4, is Santiagio's ratio of honey:lime.

Therefore, Isabella has 6 equal parts over all and 4/6 of those parts are honey.

Santiago, has 9 equal parts, so he has 5/9 parts of honey.

Next is to make the denominators the same:

That would make the denominators 54 and then you just multiply the opposite denominator to the numerator:

5/9=36/54

4/6=30/54.

This means that Isabella's dressing is sweeter.

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When x is 6, then y is <br><br>x: 2 3 4 5 6 <br>y:-3 -2 -1 0 ?<br><br>Complete the table.​
podryga [215]

Answer:

1

Step-by-step explanation:

for the equation of finding y is x - 5 = y

2 - 5 = -3

3 - 5 = -2

4 - 5 = -1

5 - 5 = 0

<u><em>6 - 5 = 1, </em></u> therefore, y is 1

4 0
3 years ago
Read 2 more answers
In Exercises 3 and 4, find the values of x and y <br> plz help!!!
jonny [76]

Answer:

x = 20°

y = 30

Step-by-step explanation:

The triangle given on close inspection, it is an equilateral triangle.

Each angle in an equilateral triangle is equal. Likewise, each side is equal.

Thus;

16 + y = 46

y = 46 - 16

y = 30

The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.

Thus, the smaller angle there is;

180 - (80 + 60) = 40°

Because sum of angles in a triangle is 180°

Now, x + 40 = 60°

Since that's also an angle of an equilateral triangle.

x = 60 - 40

x = 20°

8 0
2 years ago
6 1/4 ÷ 4<br><br> (6th grade math)
Yuri [45]

Answer: 1.5625

Step-by-step explanation: just a calculator

5 0
2 years ago
pleaseeee help me im almost done please ive been working all day someone just give me an example and ill give brainliest or howe
jeka57 [31]

Answer:

d=4/5

Step-by-step explanation:

2(5+d)=14

10+5d=14

5d=4

d=4/5

5 0
2 years ago
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime
Shalnov [3]

Answer:

We conclude that the true average percentage of organic matter in such soil is different from 3%.

Step-by-step explanation:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.616, respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

<em>Let </em>\mu<em> = true average percentage of organic matter in such soil</em>

SO, <u>Null Hypothesis</u>, H_0 : \mu = 3%   {means that the true average percentage of organic matter in such soil is equal to 3%}

<u>Alternate Hypothesis</u>, H_A : \mu \neq 3%   {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is <u>One-sample t test statistics</u> because we don't know about the population standard deviation;

                           T.S.  = \frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }  ~ t_n_-_1

where,  \bar X = sample mean amount of organic matter = 2.481%

              s = sample standard deviation = 1.616%

              n = sample of soil specimens = 30

So, <u><em>test statistics</em></u>  =  \frac{0.02481-0.03}{{\frac{0.01616}{\sqrt{30} } } }  ~ t_2_9

                               =  -1.759

<u></u>

<u>Now, P-value of the test statistics is given by;</u>

       P-value = P( t_2_9 > -1.759) = <u>0.046</u> or 4.6%

  • If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.
  • If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

<em>Now, here the P-value is 0.046 which is clearly smaller than the level of significance of 0.05 (for two-tailed test), so we will reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

3 0
3 years ago
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