Answer:
6.50
Step-by-step explanation:
You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.
the change was $6.50
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
8
Step-by-step explanation:
To find the largest number of groups she can have, find the largest number that can divide 104 and 88 evenly.
This number is 8, since 8 divides 104 to 13 and it divides 88 to 11.
This means each group will have 13 nickels and 11 dimes.
So, the answer is 8 groups.
Answer:
Step-by-step explanation:
The common ratio is 3, so multiply the numbers of the pattern by 3. So 1x3 is 3, 3x3 is 9, 9x3 is 27, 27x3 is 81, 81x3 is 243, and just continue until you're on the 7th number; 1 was the first, 3 was the second and 9 was the third.
Triangle FHI is congruent to triangle GHI
Side FE is congruent to side GH
Angle FIH is congruent to angle GHI through the right angle theorem
Side IH is congruent to side IH through overlapping triangles
So the triangle is congruent through Side Angle Side (SAS)