A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. they decided to spli
t the bill and tip evenly among themselves. which equations and solutions describe the situation? CHECK ALL THAT APPLY.
a. the equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
b. the equation 1/8(x+16)=76 represents the situation, where x is the food bill.
c. the solution x=60 represents the total food bill.
d. the solution x=60 represents each friend's share of the food bill and tip.
e. the equation 8(x+16)=76 represents the situation, where x is the food bill.
a. the equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
b. the equation 1/8(x+16)=76 represents the situation, where x is the food bill.
c. the solution x=60 represents the total food bill.
d. the solution x=60 represents each friend's share of the food bill and tip.
e. the equation 8(x+16)=76 represents the situation, where x is the food bill.
1 answer:
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Answer:
4 bottles
Step-by-step explanation:
Given
Required
Determine the number of bottles
Represent the number of bottles with N
<em>This implies that N bottles of </em><em> fit into </em>
<em> of fertilizer. The relationship between them is:</em>
<em></em>
Multiply through by 8
<em>Hence, there are N = 4</em>
y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
