Acoffee shop uses 8 ounce mugs to make all of its coffee drinks. in one week, they served 30 mugs of expression, 400 lattes and 5000 mugs of coffee. how many ounces of coffee drinks did they make in one week?

A coffee shop makes 43,440 ounces of coffee drinks in one week.

Step-by-step explanation:

Given:

Mugs used = 8 ounces.

Number of espresso served = 30 mugs.

Number of latte served = 400

Number of coffee = 5000 mugs.

We need to find the total ounces of coffee drinks the make in one week.

Solution:

Now we need to find coffee drinks in ounces.

But the given data are all in mugs.

So we will first convert mug into ounces.

Now we know that;

mugs used = 8 ounces

Amount of espresso served =

Amount of latte served =

Amount of coffee served =

Now Total ounces of coffee drinks served in one week is equal to sum of Amount of espresso served, Amount of latte served and Amount of coffee served.

framing in equation form we get;

Total ounces of coffee drinks served in one week =

Hence A coffee shop makes 43,440 ounces of coffee drinks in one week.

90°

Step-by-step explanation:

We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.

Let's first find an expression for each angle.

Angle A: m<A = x + 100

Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.

Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.

Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.

(x + 100) + (x + 60) + 40 = 180

x + 100 + x + 60 + 40 = 180

2x + 200 = 180

2x = -20

x = -10

The measure of angle A is x + 100, and x = -10

m<A = x + 100 = -10 + 100 = 90

90°