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Semenov [28]
2 years ago
11

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bough

t for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy?
Mathematics
2 answers:
zlopas [31]2 years ago
6 0

Answer:

5

Step-by-step explanation:

The number of water bottles = w

The number of juice bottles = j

We have, 3w + 4j = 39

When we purchase 6 bottles of juice, j = 6

So,

3w + 4j = 39

3w + 4 \times 6 = 39

3w + 24 = 39

3w = 39 - 24

3w = 15

w = \frac{15}{3}

w = 5

Therefore, we can buy 5 bottles of water.

jarptica [38.1K]2 years ago
3 0

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

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Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. W
jenyasd209 [6]

Answer:

$35,000

Step-by-step explanation:

The amount that would be repaid = amount borrowed + interest earned on loan

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = 20,000

Time = the duration of the deposit =5  

interest rate = the percentage on deposit that would be earned = 15

20,000 x 5 x 0.15 = $15,000

total = 20,000 + 15,000 = $35,000

3 0
1 year ago
Samara is adjusting a satellite because she finds it is not focusing the income radio waves perfectly. The shape of her satellit
gogolik [260]

Answer:

\boxed{\text{(6, 3)}}

Step-by-step explanation:

The conic form of the equation for a sideways parabola is

(y - k)² = 4p(x - h)

The focus is at (h + p, k)

The equation of Samara's parabola is

(y - 3)² = 8(x - 4)

h = 4

p = 8/4 = 2

k = 3

h + p = 6

So, the focus point of the satellite dish is at

\boxed{\textbf{(6, 3)}}

8 0
1 year ago
The isosceles triangle has a base that measures 14 units. The value of y, the length of each leg, must be equal to 7. between 7
Dvinal [7]
1.The isosceles triangle has sides of length 14, y, y

2. According to the "triangle inequality" :

y+y>14
2y>14
y>14/2=7

(y is greater than 7)

3. Remark, check the figures:

the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2

In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.

4 0
2 years ago
Read 2 more answers
If PQ=RS, which of the following must be true?
maw [93]

<u>Answer:</u>

If PQ=RS then PQ and RS have the same length. Hence option D is correct

<u>Solution:</u>

Given that, pq = rs  

And, we have to find which of the given options are true.

<u><em>a) pq and rs form a straight angle </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>b) pq and rs form a zero angle. </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>c) pq and rs are same segment. </em></u>

If two things equal then there is no condition that both represents a single item.

So this statement is false.

<u><em>d) pq and rs have the same length </em></u>

As given that pq = rs, we can say that they will have the same length  

Hence, option d is true.

4 0
1 year ago
Which statement shows how two polynomials 4x + 6 and 2x2 − 8x demonstrate the closure property when multiplied?
steposvetlana [31]

Answer:

8x^{3} -20x^{2} -48x is a polynomial

Step-by-step explanation:

Given : polynomials 4x+6 and2x^{2} -8x

Solution:

(4x+6)*(2x^{2} -8x)

4x(2x^{2} -8x)+6(2x^{2} -8x)

8x^{3} -32x^{2}+12x^{2} -48x

8x^{3} -20x^{2} -48x

Polynomial :An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

Thus 8x^{3} -20x^{2} -48x is a polynomial

Hence option A is correct.




7 0
2 years ago
Read 2 more answers
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