Answer:
13 pencils.
Step-by-step explanation:
Let x be the pens and y be the pencils
Given:
Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.
Total pens and pencils is 22
So, 
----------------(1)
And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.
------------(2)
solve equation 1 and equation 2 for x and y.
From equation 1.
----------------(3)
put y value in equation 2.
Now substitute x value in equation 3.
So, he buy 13 pencils.
Answer:
a If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
Step-by-step explanation:
y = sqrt(4x+16) +5
y = sqrt(4 (x+4)) +5
y = sqrt(4) sqrt(x+4) +5
y =2sqrt(x+4) +5
f(x) = sqrt(x) this is the parent function
g(x) = sqrt(x+4) This moves it to the left 4 units
h(x) = 2 sqrt (x+4) This stretches it by 2 in the y direction
j(x) = 2 sqrt(x+4) +5 This moves it up by 5 units
y = 2sqrt(x+4) +5
This is to the left 4 units, stretched 2 units in the y direction and up 5 units
If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
2d^2 -2d-7
(14d^2 - 8) + (6d^2 - 2d + 1)
14d^2 - 8+ 6d^2 - 2d + 1
20d^2 - 7 - 2d
20d^2 - 2d - 7
Answer:
D. 6.3
Step-by-step explanation:
Well you can make a triangle with the line PQ with it's height as 2 and base as 6.
Then you can use the Pythagorean Theorem to find the length of PQ.
a²+b²=c²
2²+6²=c²
4+36=c²
40=c²
c²=40
<em>Square root both sides</em>
c=
c≈6.3
Our answer is D. 6.3
Answer:
Step-by-step explanation:
There are a total of 10 balls in the first bag, so P(1 red) = 3/10 and P(1 green) = 7/10.There are a total of 9 balls in the second bag, so P(2 red) = 4/9 and P(2 green) = 5/9.P(1 red & 2 red) = 3/10 × 4/9 = 12/90 = 2/15P(1 red & 2 green) = 3/10 × 5/9 = 15/90 = 1/6P(1 green & 2 red) = 7/10 × 4/9 = 28/90 = 14/45P(1 green & 2 green) = 7/10 × 5/9 = 35/90 = 7/18
I hope you understand it!
