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beks73 [17]
3 years ago
5

At a greengrocer, two bananas and one apple cost ?1.16 and one banana and one apple cost ?0.71. How much does one apple cost?

Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer

Find out the how much does one apple cost .

To prove

Let us assume that the number of bananas be x .

Let us assume that the number of apples be y .

As given

At a greengrocer, two bananas and one apple cost $1.16 .

Than the equation becomes

2x + y = 1.16

one banana and one apple cost $0.71.

Than the equation becomes

x + y = 0.71

Subtracting x + y = 0.71 from 2x + y = 1.16

2x - x + y - y = 1.16 - 0.71

x = 0.45

Put in the equation x + y = 0.71

0.45 + y = 0.71

y = 0.71 - 0.45

y = $0.26

Therefore the cost of the one apple is  $0.26 .


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The focal lengths of the objective lens and the eyepiece of a microscope are 0.50 cm and 2.0 cm, respectively, and their separat
VladimirAG [237]

Answer:

- 103.7

Step-by-step explanation:

Given:

Focal length of the eyepiece, f = 2.0 cm

Focal length of the objective lens, f' = 0.50 cm

Separation for minimum eyestrain = 6,0 cm

Image distance, v = - 25 cm

Now, from the lens formula,

\frac{1}{f}=\frac{1}{u}+\frac{1}{v}

here, u is the object distance

on substituting the respective values, we get

\frac{1}{2}=\frac{1}{u}+\frac{1}{-25}

or

u = 1.852 cm

also, the separation is adjusted for minimum eyestrain,

therefore, image distance for the objective lens, v' = 6 - 1.852 = 4.148 cm

Now, for the objective lens

using the lens formula, we get

\frac{1}{0.5}=\frac{1}{u'}+\frac{1}{4.418}

Here, u' is the distance between the physical object and objective lens

or

u' = 0.568 cm

Thus,

Magnification, m = -\frac{vv'}{ff'}

or

m =-\frac{25\times4.418}{0.5\times2}

or

m = - 103.7

4 0
3 years ago
Please help ASAP!!!!!!
erica [24]

Answer:

300

Step-by-step explanation:

20*30=600

600/2=300

Please mark as Brainliest! :)

Have a nice day.

6 0
3 years ago
Tommy the Dunker's performance on the basketball court is influenced by his state of mind: If he scores, he is twice as likely t
rjkz [21]

Answer:

Step-by-step explanation:

Probability of of winning next shot if he scores= 0.5

Probability of missing next shot if he misses = 1/6

a) Probability of scoring 2 shots later if he missed = (1-1/6)^2

=(5/6)^2

=25/36

b) % of successful shots= (1/2+5/6×(1/100))%

=4/3×1/100

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3 0
2 years ago
A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen
lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

<em>H₀</em>: The proportion of people who include locally grown foods in their diets is <em>p</em>.

<em>Hₐ</em>: The proportion of people who include locally grown foods in their diets is difference from <em>p</em>.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0
3 years ago
Read 2 more answers
Greg purchases 1/2 dozens cupcakes for 5.88. Explain how you can determine the unit cost of the cupcakes.
Reika [66]

Answer: $0.98

Step-by-step explanation:

1/2 dozen is equal to 6 cupcakes

Divide 5.88 by 6 to get 0.98

This is the price for 1 cupcake, which is also the unit price.

7 0
3 years ago
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