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Stels [109]
3 years ago
15

Five friends went out to dinner. They each paid $13.75 for the meal, including a 7% sales tax. What was the total cost of the me

al before the tax was added?
Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

For one meal each person paid 1.07 times the price of the meal (includes 7% tax).

Therefore price of each person's meal was 13.75/1.07 = $12.85

 

Total cost for all 5 meals was therefore $64.25--before taxes.  $68.75 including the taxes.




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The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
loris [4]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 6 = \frac{1}{3}(x - 9) ← distribute the parenthesis

y + 6 = \frac{1}{3} x - 3 ← subtract 6 from both sides

y = \frac{1}{3} x - 9 ← in slope- intercept form

7 0
3 years ago
Read 2 more answers
Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B
Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which  

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}

b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft

The length of side b is 179 ft

Option C is correct.

7 0
3 years ago
ASAP DINT ANSWER IF YOU DONT DO ALL BRAINLEST TO THE ORECT ANSWERS
KiRa [710]

Answer:

The first one towards the left, or the green triangle, would be 70 degrees.

The second one, or the one in the middle, would be 108 degrees.

The last one, or the yellow triangle, would be 65 degrees.

8 0
3 years ago
Write the contrapositive and the converse of the following conditional
Lunna [17]

The contrapositive statement are:

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The  converse statement are:

  • If the late is frozen, then it is cold.
  • If Solomon is happy, then he is healthy.
  • If Tigist Tigist  does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

Learn more about contrapositive statement  from

brainly.com/question/1713053

#SPJ1

6 0
2 years ago
Read 2 more answers
Someone can help???
frozen [14]

Answer:

The slant of the ladder is 5 ft

Step-by-step explanation:

Look at the attached figure to understand this situation

∵ a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

∴ a = 4 ft

∵ b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

∴ b = 3 ft

∵ c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c = \sqrt{a^{2}+b^{2}}

∴ c = \sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}

∵ \sqrt{25} = 5

∴ c = 5 ft

∴ The slant of the ladder is 5 ft

5 0
3 years ago
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