Factor out the GCF, which is 4.... 4(4a+3b)
Answer:
He needs to sell 100 souvenirs
Step-by-step explanation:
We want to know the number of souveniers John has to sell
Let the number of souveniers he sold at the game be s
At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:

Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.
Thus, mathematically:

Answer:
length of chord is 6cm
Step-by-step explanation:
Here, we are to calculate the length of the chord.
It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.
Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.
mathematically;
3^2 = 0.8^2 + l^2
9 = 0.64 + l^2
l^2 = 9-0.64
l^2 = 8.36
l = √(8.36)
l = 2.89 approximately
The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length
Answer:
8! 8x8=64 lol
Step-by-step explanation:
Hope this helps, And have a good day!
Boys are b
Girls are g
b + g = 120
2g = b
Substitute the second equation into the first
2g + g = 120
3g = 120
g = 40
Plug in g = 40 and solve for b
b + g = 40
b + 40 = 120
b = 80
There are 40 girls and 80 boys.