Answer:
The length of the longer base he 35 units
Step-by-step explanation:
Here, we want to find the length of the longer base of the trapezoid
Mathematically, we can find the area using the formula;
1/2( a + b) h
where a is the shorter base
b is the longer base
h is the height
Let the shorter base be x
The other base is 5 times this length and that makes 5 * x = 5x
Height is the average of both bases;
(x + 5x)/2 = 6x/2 = 3x
Substituting these in the formula, we have ;
1/2(x + 5x)3x = 441
3x(6x) = 882
18x^2 = 882
x^2 = 882/18
x^2 = 49
x^2 = 7^2
x = 7
But the longer base is 5x and that will be 5 * 7 = 35 units
A. Put parenthesis around 12-3. This will reduce the amount you are dividing 6*5 by and give you the highest possible answer.
B. Put parenthesis around 3+4. This will simplify into 7*7, giving you the correct answer, 49.
Hope this helps!
Answer:
Step-by-step explanation:
peter can buy pack of nine pencils
6 divided by 1.68 =3.5
9 divided by 2.34=3.8
package 2 is just 0.3 more
it give 3 more pencils for 0.3
Answer: Amber use 30 feet of basic tiles and 6 feet of decorative tiles.
Step-by-step explanation:
Let x be the foot of basic tiles and y be the foot of decorative tiles.
Now, according to the question, we have the following equations
![x+y=36\\y=36-x\ .......(1)\\\\8x+20y=36\times10\\2x+5y=90.......(2)\ \ \ [\text{divide equation by 4}]](https://tex.z-dn.net/?f=x%2By%3D36%5C%5Cy%3D36-x%5C%20.......%281%29%5C%5C%5C%5C8x%2B20y%3D36%5Ctimes10%5C%5C2x%2B5y%3D90.......%282%29%5C%20%5C%20%5C%20%5B%5Ctext%7Bdivide%20equation%20by%204%7D%5D)
Put y=36-x in (2), we get

Hence, Amber use 30 feet of basic tiles and 6 feet of decorative tiles.
Answer:
x = 1/7
Step-by-step explanation:
add the two numbers with the x's and subtract 1 from 2. You'll get 7x = 1. Divide 7 from both sides to get x by itself.