Answer:
$2.25
Step-by-step explanation:
Let "b" be the price of 1 brownie and "c" the price of 1 cookie.
At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,
3 b + 5 c = 11.00 [1]
His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,
1 b + 2 c = 3.95
b = 3.95 - 2c [2]
If we replace [2] in [1], we get
3 (3.95 - 2c) + 5 c = 11.00
11.85 - 6c + 5c = 11.00
c = 0.85
If we replace c = 0.85 in [2], we get
b = 3.95 - 2 (0.85) = 2.25
Answer:
-5/24
Step-by-step explanation:
You first change -7/12 to -14/24, and 3/8 to 9/24 so they have the same denominator. You then do -14/24 + 9/24. That will be the same as the opposite of the answer to 14/24 - 9/24.
14/24 - 9/24 = 5/24
-5/24
Step-by-step explanation:
if the two integers are x and y
xy=-10
x+y=-9
x+(-10/x)=-9
x2+9x-10=0
(x-1)(x+10)=0
x=1 or x=-10
if x=1, y=-10
if x=-10, y=1
so the two integers are 1 and -10
Answer:
Step-by-step explanation:
<em>Refer to attached picture</em>
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
<u>Use tangent to solve</u>
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
<u>Compare the equations above and find the value of d:</u>
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
<u>Now find the value of h:</u>
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
Answer:
Step 1
Step-by-step explanation:
Carly divided 7a by a when she should have divided 7a by 7
