Sara is reading a 538 page book. She reads 22 pages every day. How many days will it take Sara to read the entire book?

There is a sales tax of $6 on an item that costs $64 before tax. The sales tax on a second item is $8.25 . How much does the sec

bulgar [2K]

The second item would be $88 before tax since the tax rate is 9.375%

5 0

3 years ago

Do the ratios 2/1 and 20/10 from proportion?

schepotkina [342]

Yes !! i believe so :))

7 0

3 years ago

jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum

Vladimir [108]

Answer:

2x+59.

Step-by-step explanation:

Let J represent Jessica's weight and R represent Ronda's weight.

Jessica weighs x+34 pounds. Thus:

$J=x+34$

Ronda weighs 12 pounds less than Jessica. In other words:

$R=J-12=(x+34)-12\\R=x+22$

The sum of their weights, therefore, is:

$J+R\\=(x+34)+(x+22)=2x+56$

Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:

$2x+56+3=2x+59$

The sum of the new [weights] is represented by 2x+59.

8 0

3 years ago

What does N equals in the following equation? N +6+9=32 multiple choice answers are ? A.) 10 B) 20 C) 30

mafiozo [28]

Answer

$\boxed{ \boxed{ \bold{ \purple{N = 17}}}}$

Step by step explanation

$\sf{N + 6 + 9 = 32}$

Add the numbers

⇒ $\sf{N + 15 = 32}$

Move constant to right hand side and change it's sign

⇒ $\sf{N = 32 - 15}$

Calculate the difference

⇒ $\sf{N = 17}$

Hope I helped!

Best regards!!

5 0

3 years ago

Read 2 more answers

You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd

Virty [35]

Answer:

Lets denote

1. eggs as x,

2. edamame as y

3. elbow macaroni as z

The problem then is

min TC=2x+5y+3z

subject to

$2x+12y+43z \geq40\\17x+12y+8z\geq20\\14x+6y+z\leq50\\x\geq0\\y\geq0\\z\geq0$

Step-by-step explanation:

First the objective is to minimize total cost subject to some nutritional requirements.

So the total cost function (TC) is the number of servings multiplied for the corresponding costs. Eggs cost 2, edamame 5, and macaroni 3

Next we have to meet the nutritional requirements, the first of the restrictions is the protein restriction. The problem requires that the meal contains at least 40g of carbohydrates (that is why the restriction is $\geq 40$ ). Then we add how much each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same for protein, we need at least 20 grams of protein ( $\geq 20$ ). Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

Finally we don't want more than 50 grams of fat ( $\leq50$ ). Eggs add 14g, edamame add 6g and macaroni 1g.

Finally, we add the non negativity restrictions-> we cannot buy negative quantities of these goods, but we allow for zero.

7 0

3 years ago