Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.

Given:

Lamar drinks water with,

Breakfast = 8 ounces

Vitamins = 6 ounces

Lunch = 16 ounces

Dinner = 16 ounces

Bottle = 32 ounces

To find:

The a numerical expression for the amount of water in ounces that he drinks in a week.

Solution:

One day consumption of water by Lamar is

We know that,

1 week = 7 days

One day consumption of water = 78 ounces

1 week (7 days) consumption of water = 7× One day consumption of water

                                                               = 7×(8+6+16+16+32) ounces                                                                

                                                               = 7×78 ounces

                                                               = 546 ounces

Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.  

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.