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dybincka [34]
3 years ago
12

A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

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If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?
disa [49]

Answer:

The length is 600 ft

Step-by-step explanation:

We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width

a^2 + b^2 = c^2

450 ^2 + b^2 = 750^2

b^2 = 750^2 - 450^2

b^2 =562500-202500

b^2 =360000

Taking the square root of each side

sqrt(b^2) = sqrt(360000)

b =600

4 0
3 years ago
Two sides of a triangle measure 9 centimeters and 37 centimeters what could the length of the third triangle?
STALIN [3.7K]

Step-by-step explanation:

One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.

If we add one and other side i.e. 9 cm + 37 cm = 46 cm

If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm

We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.

Thus, the third side could be between 46 cm and 28 cm.

4 0
3 years ago
Which pair of monomials has the least common multiple (LCM) of 54x2y3?
Lera25 [3.4K]

ANSWER

The correct answer is D.

EXPLANATION

If we express the monomial,

18 {x}^{2} y

as product of primes, we obtain:

2 \times  {3}^{2}  \times  {x}^{2}y

If we express the monomial

27x {y}^{3}

as product of primes we obtain:

=  {3}^{3}  \times x {y}^{3}

The least common multiple of these two binomials is the product of the highest powers of the common factors.

The LCM is

= 2 \times  {3}^{3}  \times  {x}^{2} {y}^{3}

=54 {x}^{2} {y}^{3}

Therefore the correct answer is D.

6 0
3 years ago
Read 2 more answers
5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability
Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

5 0
1 year ago
cynthia besch wants to buy a rug for a room that is 14ft wide and 23 ft long. She wants to leave a uniform strip of floor around
choli [55]
The room is 14w and 23 l

she can buy up to 190 sqft

190 factors into 10 and 19

14 - 10 = 4
23 - 19 = 4
Which are uniform

so the answer is 10 ft wide and 19 ft long

Hope this helps


8 0
3 years ago
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