Ella and Nico had $250 altogether. If Nico spent $35, he would still have $5 more than Ella. How much money did Ella have?

Answers

Answer 1

Answer:
Ella would have had $105

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Answers

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At a restaurant you ordera meal and a beverage that cost $14. You leave a 20% tip and the sales tax is 6%. What is the total cost of the meal?

Answers

Total cost of the meal will be $17.64.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The cost of meal and a beverage = $14

The tip = 20%

The sales tax = 6%

Now,

Since, The cost of meal and a beverage = $14

Hence, The cost for tip = 20% of 14

= 20/100 x 14

= $2.8

And, The cost for sales tax = 6% of 14

= 6/100 x 14

= $0.84

Thus, Total cost of the meal = $14 + $2.8 + $0.84

= $17.64

Therefore, Total cost of the meal will be $17.64.

Learn more about the percent visit:

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To find the answer you can just multiply the cost by the sales tax and the tip.

Cost * Sales Tax * Tip=
14 * (14 * 0.2) * (14 * 0.06) =
$17.81 (Rounded to the nearest cent)

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?x – 6
5x – 8
6x – 1
8x + 5

Answers

the answer is (6x-1)

Answer: The answer is (B) $(8)/(5)$ and (C) $(1)/(6)$ .

Step-by-step explanation: The given polynomial is

$f(x)=60x^4+86x^3-46x^2-43x+8.$

We are to select the correct option that could be a factor of the polynomial f(x) according to the Rational Root Theorem.

The Rational Root Theorem states that:

If the polynomial $P(x)= a_nx^n+a_(n-1)x^(n-1)+\cdots+a_2x^2+a_1x+a_0$ has any rational roots, then they must be of the form $\pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.$

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only $(8)/(5)$ and $(1)/(6)$ can be written in the form $\pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.$ , because

$(8)/(5)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}},\n\n(1)/(6)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}}.$

Thus, (B) and (C) are the correct options.

The vertex of this parabola is at (4, -3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared expression in the parabola s equation?

Answers

$The\ vertex\ form:y=a(x-k)^2+h\n\nwhere\ (k;\ h)\ \ are\ coordinates\ of\ vertex\n------------------------\ny=a(x-4)^2-3\n\nthe\ point\ on\ parabola\ (5;-6)\nPut\ x=5\ and\ y=-6\ to\ equation:\n\na(5-4)^2-3=-6\na(1)^2=-6+3\na=-3\n\nAnswer:y=-3(x-4)^2-3=-3(x^2-8x+16)-3\n\n=-3x^2+24x-48-3=-3x^2+24x-51$

Please help . I’m giving 75 points.

Answers

Answer:

-9x2- 7z+2

Step-by-step explanation:

4+3z-10z-13+2

-9x^2-7z+2

Answer:

-9 $x^(2)$ -7z+2

Step-by-step explanation:

4 $x^(2)$ +3z-10z-13 $x^(2)$ +2

-9x^2-7z+2

In the triangle below, what is the length of the side opposite the 60 angle?

Answers

This is a 30°- 60° - 90° triangle.
c = 2√3
a = √3
b² = c² - a²
b² = ( 2√3 )² - ( √3 )² = 12 - 3 = 9
b = √9 = 3
Answer:
The length of the side is A ) 3.

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