Maria is selling toys an flowers.The toys cost $12 an the flowers cost $10. She needs to make at least $300.

Answers

Answer 1
Answer: Maria needs to sell at last 14 flowers and 14 toys to get $308 

I will show you how it works:
x(12+10) = 300      you add 12 and 10 together
x(22) = 300            than 22 times x
22x = 300               now you divide 300 by 22, you will get 13.64, round it, 14
x = 14

Flowers : 10 times 14 = $ 140
Toys : 12 times 14 = $168     Now add them together.
Flowers and Toys = $308 

So this is how you get the answer


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Answers

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The price of a dress is reduced by 6,5% in a sale. The original price of the dress was $56.Work out the sale price of the dress.

Answers

Answer:

$52.36

Step-by-step explanation:

We know

The price of a dress is reduced by 6.5% in a sale.

The original price of the dress was $56.

What is the sale price of the dress?

6.5% = 0.065

We take

56 - (56 · 0.065) = $52.36

So, the sale price of the dress is $52.36

Write the equation of the hyperbola that has a center at (4, - 1), a focus at (11, - 1), and a vertex at (0, - 1).

Answers

Answer: 56

Step-by-step explanation:

Final answer:

Given the center, focus, and vertex of a hyperbola, the equation of the hyperbola can be determined using the standard formula for a hyperbola and calculations for the values of a and b. For the hyperbola with center (4, -1), focus (11, -1), and vertex (0, -1), the equation is (x - 4)²/16 - (y + 1)²/33 = 1.

Explanation:

The subject of the question is to write the equation of the hyperbola given the center, focus, and vertex. In general, the equation of a horizontal hyperbola is (x - h)²/a² - (y - k)²/b² = 1 where the (h, k) is the center, a is the distance from the center to a vertex, and b is the distance from the center to a co-vertex. In this case, the center is (4, -1), the focus is (11, -1), the and vertex is (0, -1).

To determine a, calculate the distance from the center to a vertex. With the center at (4, -1) and vertex at (0, -1), a = 4. To determine b, apply the hyperbola's relationship of c² = a² + b², where c is the distance from the center to a focus. Given that the distance to the focus (from (4, -1) to (11, -1)) is 7 (so, c = 7) and a = 4, solve for b to get b = sqrt(c² - a²) = sqrt(49-16)= sqrt(33). Therefore, the equation of the hyperbola is (x - 4)²/16 - (y + 1)²/33 = 1.

Learn more about Hyperbola here:

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Find the value of the expression below for r = 4 and t = 2
t^3 - r + 20 divided by r

Answers

Answer:

The value of the expression t^3-r+(20)/(r) is, 9

Step-by-step explanation:

Given: The expression t^3-r+(20)/(r)

Substitute the value of r=4 and t=2 in above expression to find its value;

t^3-r+(20)/(r) = (2)^3-4+(20)/(4)

Cube: the cube of a number t is its third power, the result of the number multiplied by itself twice. i.e, t^3 = t * t * t

Now, solve further we have;

(2)^3-4+(20)/(4) = 8 -4+(20)/(4)

Further, divide the number 20 by 4 we get the result 5 ;

⇒ 8-4+5 = 4+5 =9

Therefore, the value of the expression t^3-r+(20)/(r) is, 9.



What is the solution for this
2928 : 653 = ?

Answers

Answer:

4.484.

Step-by-step explanation:

1. Start by dividing the first digit of the dividend (2) by the divisor (6). Since 2 is smaller than 6, we move to the next digit, resulting in a quotient of 0.

2. Bring down the next digit of the dividend (9) and divide it by the divisor (6). 9 divided by 6 is 1 with a remainder of 3. Therefore, the quotient becomes 1.

3. Next, bring down the next digit of the dividend (2) and combine it with the remainder from the previous step (3) to get 32. Divide 32 by the divisor (6), resulting in a quotient of 5 with a remainder of 2.

4. Bring down the last digit of the dividend (8) and combine it with the remainder from the previous step (2) to get 28. Divide 28 by the divisor (6), resulting in a quotient of 4 with a remainder of 4.

5. Since there are no more digits to bring down, the division process is complete.

Therefore, the solution to the equation 2928 : 653 is approximately 4.484

If E partitions CD by a ratio of 1/8, then which of the following could be the location of E?

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If 'E' partitions 'CD' in the ratio of  1/8 , then 'E' must be located exactly
one ninth of the distance from 'C' to 'D'.  Then  the piece on one side
of 'E' is 1/9 of the total distance, and the piece on the other side of it
is the other 8/9 of the total distance.  The ratio of the pieces is then

       (1/9) / (8/9)  =  1/8 .