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2 years ago

9

One weekend Ella sells a total of 52 prints for a total of $2,975.Small prints cost $50 and large prints cost $75. How many of e

ach size print did Ella sell?

1 answer:

xz_007 [3.2K]2 years ago

5 0

Answer:

ella sold 37 small prints and 15 large prints.

Step-by-step explanation:

37×50=1850

15×75=1125

1850+1125=2975

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Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou

Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

$x=z+136$

We also know that Y weighs 117 pounds more than car Z, this can be express as:

$y=z+117$

Finally, we know that the total weight of all the cars is 9439, then we have:

$x+y+z=9439$

Hence, we have the system of the equations:

$\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}$

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

$\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}$

Now that we have the value of z we plug it in the first two equations to find x and y:

$\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}$

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

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1 year ago

David wants to install a fence fence around his garden. The garden is rectangular and has an area of 240 square feet. One side o

Ilya [14]

Find the length of each side 240÷12=20 20 is the other length.
12•$18=$216 for the street side and 20+20+12=52 is the total length of the other sides 52•$15=$780 is the total cost of other 3 sides 780+216=996
the total cost is $996. Hope this helped

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3 years ago

Read 2 more answers

X2y, for x = 3 and y = 6

DENIUS [597]

Answer:

12

Step-by-step explanation:

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1 year ago

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The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun

VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:

"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.

We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:

$P_{American}=$2.00*A$

And the profit for the British blend is found by using the following equation:

$P_{British}=$1.00*B$

so the total profit is found by adding the two given profits, so we get:

$P_{total}=P_{American}+P_{British}$

or

$P_{total}=$2.00A+$1.00B$

which can be simplified to:

P=2A+B

which is our objective function.

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2 years ago

Talia used 1/3 of a piece of wood for the base of her project 1/4 of the piece of wood for the vertical support and the rest for

Veseljchak [2.6K]

Answer:

The fraction of wood used for horizontal support is $\frac{5}{12}$ .

Step-by-step explanation:

Assume that the total piece of wood is of length 1.

It is provided that Talia used $\frac{1}{3}$ of the piece of wood for the base of he project.

She use $\frac{1}{4}$ of the piece of wood for the for the vertical support.

The remaining wood she used for horizontal support.

The amount of wood used for horizontal support can be computed by the subtracting the amount of wood used for base of the project and vertical support form 1.

Compute the amount of wood used for horizontal support as follows:

$Horizontal\ support=1-Base\ of\ project-Vertical\ support\\= 1 - \frac{1}{3}-\frac{1}{4}\\ =\frac{12-4-3}{12} \\=\frac{5}{12}$

Thus, the fraction of wood used for horizontal support is $\frac{5}{12}$ .

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2 years ago