Answer:
x is the 9 multiple = 9x
Step-by-step explanation:
- Let x is the numbers of flour tortillas packages
- Let y is the numbers of corn tortillas packages
=> the total packages : x + y
Given that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16, it means:
<=>
=
<=> 16y = 7x+7y
<=> 9y = 7x
<=> x = 
since both x and y are integers y is in the form of 7k where k∈N so
x = 9k
So x is the 9 multiple.
Hope it will find you well.
Answer:
c=9
d=3
Step-by-step explanation:
We have been asked:
What value of c makes x2 + 6x + c a perfect square trinomial?
c =
If x2 + 6x + c = (x + d)2, then d =
First step we have to do is divide the coefficient of x by 2. The coefficient is 6
6/2 = 3
Now take the square of 3 = 3^2
3^2 = 3*3 =9
The value of c is 9
If x^2 + 6x + c = (x + d)^2, then d =?
Put the value of c in the equation:
x^2+6x+9
Take the square root of 1st and third term. Then the expression can be written as:
x^2+6x+9 = (x+3)^2
Thus the value of d is 3.
If x^2 + 6x + 9 = (x + 3)^2, then d = 3 .....
She would have a total of 40 stamps.
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then





The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.

The hypotenuse can be found using Pythagoras Theorem.



3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are

and

4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,




Step-by-step explanation:
The sum of two opposite interior angles equals an exterior angle
50+?=115
?=115-50=65°