Answer:
c
Step-by-step explanation:
distribute the parenthesis by - 1 and collect like terms
= 5x² + 9x + 3 - 6x² + 3x
= (5x² - 6x²) + (9x + 3x) + 3
= - x² + 12x + 3 → c
Answer:
2 eggs and 5 cups sugar
double both equally
4eggs and 10 cups sugar
6 eggs and 15 cups sugar
8 eggs and 20 cups of sugar
or take 20 cups of sugar and divide by 5 cups of sugar. you end up with 4. multiply the 2 eggs by 4. Total will be 8 eggs and 20 cups of sugar
Answer:
The correct options are;
1) The shape maps unto itself after a rotation of 270 degrees
2) The smallest angle of rotational symmetry is 90 degrees
3) The shape maps unto itself after a rotation of 180 degrees
Step-by-step explanation:
We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;
After rotation by 90 degrees, the vertical member will become horizontal and vice versa
After rotation by 180 degrees, the vertical member will become horizontal and vice versa again
Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Answer: price of soda (a) = $2 and price of popcorn (b) = $0.5
Step-by-step explanation:
Let's denote soda = a and popcorn = b
Kaylin bought a soda and two popcorn, writing out an equation for this would be
a + 2b = $3...........equation (i)
And her brother bought 3 sodas and 1 popcorn.
3a + b = $6.50..........equation (ii)
From equation (i),
a + 2b = 3
Making a the subject of formula,
a = 3 - 2b......equation (iii)
Using substitution reaction, put equation (iii) into equation (ii)
3(3 - 2b) + b = $6.50
9 - 6b + b = 6.50
9 - 5b = 6.50
Collecting like terms,
5b = 9 - 6.50
Divide both sides by 5,
b = 5.
Put b = 5 into equation (i)
a + 2(0.5) = 3
a + 1 = 3
a = 2
Therefore, the price of soda is $2 per one and $0.5 for each popcorn.
