Answer:
b = 5
Step-by-step explanation:
4 ( 3b + 2 ) - 5b = 43 Given
( 4 • 3b + 4 • 2 ) - 5b = 43 Distributive Property
12b + 8 - 5b = 43
12b - 5b + 8 = 43 Combine like terms
7b + 8 = 43
7b + 8 - 8 = 43 - 8 Subtraction Property of Equality
7b = 35
7b / 7 = 35 / 7 Division Property of Equality
b = 5
The slope intercept formula: y=mx + b
2y - 8x = 20 ∫ Add 8x to both sides to make the equation suitable∫
2y = 8x + 20 ∫Divide both sides by 2∫
∵ y= 4x + 10 ∵
I hope this helps
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Answer:
842 rounded to the nearest ten is 840
Step-by-step explanation:
Step-by-step explanation:
a)
total no. of pupils is not more than 24
therefore first equation is
(x+y) ≤ 24. ....(1)
No. of girls exceeding the no. of boys by atleast 4
(y-x) ≥ 4. .....(2)
b) Now Liza chooses 8 boys
Maximum no. of girls = ?
Using first inequality
y+8= 24 ( maximum value of less than or equal to function is equal to itself)
Therefore,
y= 24-8
=16
Minimum no. of girls = ?
Using second inequality
y-8 =4 (minimum value of greater than or equal to function is equal to itself)
Therefore,
y= 4+8
y=12
Answer:
a) 2linear inequalities
(x+y) ≤ 24
(y-x) ≥ 4
b) Max no. of girls = 16
Min no. of girls = 12
Hope it helps...
Answer:
Brittany needs another $3.7405.
Step-by-step explanation:
Per pound Cost of turkey = $5.96 per pound
The amount Brittany buys the turkey = 2.55 pounds
Brittany's cost for turkey = 2.55 × $5.96 = $15.198
Per pound cost for cheese = $3.35 per pound
The amount Brittany buys the cheese = 3.7 pounds
Brittany's cost for cheese = 2.55 × $3.35 = $8.5425
So,
Brittany's total cost = Turkey cost + Cheese cost
= $15.198 + $8.5425
= $23.7405
As brittany gave the clerk 20 dollars.
So, the amount she further needs will be:
$23.7405 - $20 = $3.7405
Therefore, Brittany needs another $3.7405.