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2 years ago

Please help and show the work

Mathematics

1 answer:

ozzi2 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

If you multiply the first equation by 2, you get ...

2x +2y = 4

When you compare this to the second equation ...

2x +2y = 8

you realize there are no values of x and y that can satisfy both equations. There are no solutions.

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field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many

ki77a [65]

Answer:

The number of butterflies he collects = 176

The number of moth he collects = 44

Step-by-step explanation:

This question has to do with ratio.

We are told in the question that:He collects 4 butterflies for every moth.

Hence, the ratio of

Butterflies : Moth

4 : 1

Sum of the proportion = 4 + 1 = 5

We are also told he has a total of 220 butterflies and moths.

Hence:

The number of butterflies he collects is calculated as

4/5 × 220 = 176 butterflies

The number of moth that he collects =

1/5 × 220 = 44 moth

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3 years ago

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A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. What is the probability of drawi

cestrela7 [59]

13/ 52 = 1/4 chances.

There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.

You have a 25% chance of getting a spade.

Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.

So, you still have a 25% chance the second time around.

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3 years ago

Which point is located at (2,7)?

Anastasy [175]

Point S is located at 2,7.

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2 years ago

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12. Use a trigonometric ratio to find the measure of O in the triangle below. Give your answer to the nearest degree.

larisa [96]

Given :-

A right angled triangle with two sides 10cm and 9cm .

To Find :-

The value of theta .

Solution :-

At angle theta , 9cm side will be considered as the perpendicular and 10cm side will be hypotenuse . So , as we know that ;

$\longrightarrow sin\theta =\dfrac{perpendicular}{hypotenuse}$

Substituting the respective values,

$\longrightarrow sin\theta =\dfrac{9cm}{10cm}$

Simplify,

$\longrightarrow sin\theta= 0.9$

Take arcsin both sides ,

$\longrightarrow \theta =sin^{-1}(0.9)$

$\\\longrightarrow\underline{\underline{\theta = 64.15^o }}$

Hence the required answer is 64.15° . 

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2 years ago

The sum of half of a number and 49is 2 whole 1/4 of the number. find the number

Mrac [35]

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

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2 years ago

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