Answer:
4:9
Step-by-step explanation:
- Circles: 8
- Total shapes: squares + circles
- Total shapes: 10 + 8
- Total shapes: 18
- Circles : Total shapes = 8:18
- 8:18 = 4:9
I hope this helps!
Answer:
X+Y is greater then or equal to 8
Step-by-step explanation:
In total she wants to sell <u>at le</u><u>ast</u> 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling
4.12 rounded to the nearest tenth is 4.1
Answer:
Gabby received
7 nickels
10 dimes
3 quarters
Step-by-step explanation:
Let
x----> the number of dimes
y----> the number of nickels
z---> the number of quarters
Remember that
1 dime=$0.10
1 nickel=$0.05
1 quarter=$0.25
we know that
0.10x+0.05y+0.25z=2.10 ------> equation A
x=y+3-----> equation B
z=y-4 -----> equation C
substitute equation B and equation C in equation A and solve for y
0.10(y+3)+0.05y+0.25(y-4)=2.10
0.10y+0.30+0.05y+0.25y-1=2.10
0.40y=2.10-0.30+1
0.40y=2.80
y=7 nickels
<em>Find the value of x</em>
x=y+3 -----> x=7+3=10 dimes
<em>Find the value of z</em>
z=y-4 -----> z=7-4=3 quarters
therefore
Gabby received
7 nickels
10 dimes
3 quarters
You can exploit the difference-of-squares identity,
<em>a</em>² - <em>b</em>² = (<em>a</em> - <em>b</em>) (<em>a</em> + <em>b</em>)
Then
101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)
101.5² - 100.5² = 1 * 202
101.5² - 100.5² = 202
