Answer:
1. D) 1 9/20
2. B) 7/12
4. D) $50.00
Step-by-step explanation:
The working is as follows :
1. Mrs. Lang bought 3/4 pound of red grapes and 7/10 pound of green grapes. To find out how many are in total we have to add both values total.
3/4 + 7/10
The LCM of 4 and 10 is 20.
3/4 * 5 = 15/20
7/10 * 2 = 14/20
15/20 + 14/20 = 29/20 = 1 9/20
2. 1/3 + 1/4
The LCM of 3 and 4 is 12
1/3 * 4 = 4/12
1/4 * 3 = 3/12
4/12 + 3/12 = 7/12
4. Sharon spent 2/3 of her clothing allowance; she was given $75. All we have to do is find 2/3 of $25 :
2/3 * $75 = $50.00
Answer:
x(4x + 3)(4x + 1).
Step-by-step explanation:
16x^3 + 16x^2 + 3x
First take out the x:
= x(16x^2 + 16x + 3)
= x(16x^2 + 4x + 12x + 3)
= x(4x(4x + 1) + 3(4x + 1))
= x(4x + 3)(4x + 1) (answer).
Answer:
A = 8π cm²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 8 , then r = 8 ÷ 2 = 4
The area of half a circle is then
A = 
π × 4² = × π × 16 = 8π cm²
C is the correct answer. The equation for f(x) is f(x)=1.8x-10 and the equation for g(x) is g(x)=-4 . Since we're trying to find the input value for x where f(x)=g(x) make the 2 equations equal to each other and you'll get your answer.
Step-by-step explanation:
sin(theta)÷costheta+sintheta/sintheta÷COStheta- sintheta
sintheta+sintheta×costheta/sintheta-sintheta-costheta
sintheta(1+Costheta)/sintheta(1-costheta)
1+1÷Sectheta/1-1÷Sectheta
sectheta+1÷sectheta/sectheta-1÷sectheta
sectheta+1/sectheta-1
