I need to write y=-2/-3+490 is function notation

James correctly answered 85% of the 60 problems on his math test. How many questions did James answer correctly❄️

harina [27]

Answer:

James answered 51 questions correctly.

Step-by-step explanation:

1) Slide the decimal 2 places to the left in the percentage (85% = .85)

2) Multiply total by new decimal (60 x .85)

3) All done! (51)

Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.

3 0

3 years ago

Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is rea

babymother [125]

Answer:

a) Jean b) Jean c) Vincent d) Jean

Step-by-step explanation:

We are given the following information in the question.

Vincent can bake 10 cakes or make 5 pizzas

Jean can bake 12 cake or make 8 pizzas.

a) Absolute advantage of baking cake

Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.

b) Absolute advantage of making pizza

Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.

In order to find comparative advantage, we find the opportunity cost which can be defined as:

$\text{Opportunity Cost} = \displaystyle\frac{\text{What one sacrifices}}{\text{What one gains}}$

c) Comparative advantage in baking cakes

Opportunity cost of Vincent for baking cakes = $\frac{5}{10} = \frac{1}{2}$

Opportunity cost of Jean for baking cakes = $\frac{8}{12} = \frac{2}{3}$

The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.

d) Comparative advantage in making pizzas

Opportunity cost of Vincent for making pizzas = $\frac{10}{5} = 2$

Opportunity cost of Jean for making pizzas = $\frac{12}{8} = \frac{3}{2}$

The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.

8 0

3 years ago

Lisa made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces wa

Gemiola [76]

2 necklaces x $3.80 for each bead
$7.60
15.40 - 7.60
7.80
7.80 divide by 2
$3.90 for each pendant

8 0

3 years ago

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If one centimeter on the map above equals 30 miles, our vehicle gets 15 miles per gallon of gasoline, and gasoline costs $ 4.09

malfutka [58]

Answer:

$\large \boxed{\$98.16}$

Step-by-step explanation:

Assume that your map looks like the one below.

1. Calculate the distance

It looks like the distance on the map is 12 cm.

$\text{Distance} = \text{12 cm} \times \dfrac{\text{30 mi}}{\text{1 cm}} = \text{ 360 mi}$

2. Calculate the volume of gasoline

$\text{Volume} = \text{ 360 mi} \times \dfrac{\text{1 gal}}{\text{15 mi}} = \text{24 gal}$

3. Calculate the cost of the gasoline

$\text{Cost} = \text{24 gal} \times \dfrac{\$4.09}{\text{1 gal}} = \mathbf{\$98.16}\\\\\text{It will cost $\large \boxed{\mathbf{\$98.16}}$ to drive to the ski lodge.}$

3 0

3 years ago

A pair of parallel lines is cut by a transversal, as shown: A pair of parallel lines is shown cut by a transversal. Angle x is l

Tamiku [17]

Alternate exterior angles

3 0

3 years ago

Read 2 more answers