Answer:
20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.
Step-by-step explanation:
Answer:
<em>1</em><em>)</em><em> </em><em>3</em><em>/</em><em>5</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>0</em>
<em>2</em><em>)</em><em> </em><em>3</em><em>/</em><em>6</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>2</em>
<em>3</em><em>)</em><em> </em><em>4</em><em>/</em><em>1</em><em>0</em><em>=</em><em> </em><em>2</em><em>/</em><em>5</em>
<em>4</em><em>)</em><em> </em><em>3</em><em>/</em><em>4</em><em>=</em><em> </em><em>6</em><em>/</em><em>8</em>
<em>5</em><em>)</em><em> </em><em>5</em><em>/</em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em>
<em>6</em><em>)</em><em> </em><em>4</em><em>/</em><em>6</em><em>=</em><em> </em><em>8</em><em>/</em><em>1</em><em>2</em>
<em>7</em><em>)</em><em> </em><em>5</em><em>/</em><em>5</em><em>=</em><em> </em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em>
<em>8</em><em>)</em><em> </em><em>1</em><em>/</em><em>2</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>2</em>
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
__
<h3>a.</h3>
Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
__
<h3>b.</h3>
Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
__
<h3>c.</h3>
The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
Answer:
X = 58°
Step-by-step explanation:
105° = (2x -11)°
105° + 11° = 2x
116°= 2x
Divide both sides by 2
X = 58°.
