3x+x=180
x=45 is the right answer
Answer:
v = 9
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent
∠B and ∠Q are corresponding angles, hence
6v - 5 = 5v + 4 ( subtract 5v from both sides )
v - 5 = 4 ( add 5 to both sides )
v = 9
The answers are 8.6 ounces, 9.4 ounces, and 8.5 ounces
Explanation:
To find how much each puppy weights simply add the weight they gained (2.1 ounces) to the weight of each puppy at one week old. The process to add the weights is shown below:
First Puppy
6.5 ounces (weight at one week old) + 2.1 ounces (weight gained)
Align both numbers using the period as the reference and add
6.5
+ <u> 2.1 </u>
8.6
The weigh of the first puppy is 8.6 ounces which can be rounded as 9 ounces (integer)
Second Puppy
Now, repeat the process
7.3 ounces + 2.1 ounces
7.3
+ <u> 2.1 </u>
9.4
The weigh of this puppy is 9.4 ounces or 9 ounces (integer) if rounded
Third Puppy
6.4 ounces + 2.1 ounces
6.4
+ <u> 2.1 </u>
8.5
The weight of the third puppy is 8.5 ounces which can be rounded as 8 ounces or 9 ounces (integers) depending on the rounding method.
Answer:
520
Step-by-step explanation:
Given that:
Profit function p(x) is :
P(x) = 8.50x- 1500
If the profit made = $2920 ; the number of pizza kits sold is :
Then p(x) = 2920
Putting p(x) = 2920 in the equation :
2920 = 8.50x - 1500
2920 + 1500 = 8.50x
4420 = 8.50x
Divide both sides by 8.50
4420 / 8.50 = 8.50x / 8.50
520 = x
Hence, number of pizza kits sold is 520
Let us take the second equation first
2a + 2b = 6
Dividing both sides by 2 we get
a + b = 3
a = 3 - b
Putting the value of a in the first equation we get
3a + 4b = 9
3(3 - b) + 4b = 9
9 - 3b + 4b = 9
b = 9 - 9
= 0
Now putting the value of b in the second equation we get
a + b = 3
a + 0 = 3
a = 3
So the value of the unknown variable a is 3 and the value of the unknown variable b is 0.