In the figure below, find the length of segment XY if XV=1/2X+8 and ZY=2(x-8)

If a rectangular field has a width of 11 meters and a perimeter of 68 meters calculate the area of the field

Nat2105 [25]

The first step is figuring out the length of the field. To do this, let's work backwards.

We are given the width (11m) and the perimeter (68m). We know that perimeter is measured with the formula P = 2W + 2L or W+W+L+L. All we have to do is plug in our width, 11(2) which is 22, and subtract that from the perimeter:

68 - 22 = 46 < this is the amount of both lengths combined, but in order to find the area, we only need one side. So, divide 46 by 2, and you'll get 23.

Now the area of a rectangle is found by using A = lw. So plug in your numbers and multiply 23 (length) and 11 (width). You should get 253.

Answer: 253m/D.

7 0

3 years ago

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Three medium pizzas cost $10.50. How much does it cost to buy 10 medium pizzas?

olga nikolaevna [1]

Hello! First off, we can find the unit rate on what it would cost per pizza. Divide the total amount by the number of pizzas. 10.50/3 is 3.5. It costs $3.50 per medium pizza. Now, we can multiply that amount by 10 to get the amount for 10 pizzas. 3.5 * 10 is 35. There. It costs $35 to buy 10 medium pizzas.

6 0

3 years ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

Kamila [148]

Answer:

3

Step-by-step explanation:

The fractions are: $\frac{1}{5}$ and $\frac{2}{3}$ . Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: $\frac{5}{15}$ and $\frac{10}{15}$ . Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in $\frac{2}{3}$ , we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: $\frac{1}{5}$ + $\frac{2}{3}$ . We know it is the same as $\frac{5}{15}$ and $\frac{10}{15}$ . So now all we do is add the numerators together: 5+10=15 or $\frac{15}{15}$ . Now we have to reduce the fraction. $\frac{15}{15}$ can be reduced to 3 by dividing 15 by 5=3. The final fraction is $\frac{3}{3}$ or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!