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BARSIC [14]
2 years ago
11

The silver town people went to a fancy restaruant after the big event.Grammy gave the server a $15 tip.If the tip was 20 percent

of the cost of dinner,how much was dinner.
Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
3 0

Answer:

$75.  

Step-by-step explanation:

We have been given that Grammy gave the server a $15 tip. The tip was 20% of the cost of dinner.

Let x be the cost of Grammy's dinner. We need to find x such that 20% of x equals to 15. We can represent this information as:

\frac{20}{100}x=15

0.20 x=15

x=\frac{15}{0.20}  

x=75

Therefore, the cost of Grammy's dinner was $75.

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Solve for x write the smaller solution first and the larger solution second. Round to two decimal places (x+8)^2-7=0
siniylev [52]

Answer:

x ≈ - 10.65, x ≈ - 5.35

Step-by-step explanation:

Given

(x + 8)² - 7 = 0 ( add 7 to both sides )

(x + 8)² = 7 ( take the square root of both sides )

x + 8 = ± \sqrt{7} ( subtract 8 from both sides )

x = - 8 ± \sqrt{7} , thus

x = - 8 - \sqrt{7} ≈ - 10.65

x = - 8 + \sqrt{7} ≈ - 5.35

4 0
3 years ago
ABCD is a parallelogram and this figure is NOT drawn to scale.
dimulka [17.4K]
The angle does not matter. Think of it as finding the other side to a triangle. Use a ^{2} +b^2 =c^2

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)

39^2 + b^2 = 89^2
1521 + b^2 = 7921
(subtract the 1521 from both sides)
b^2 = 6400
(square root both sides)
\sqrt{(b^2)} =  \sqrt{6400} 


b = 80
AD=80
7 0
3 years ago
Read 2 more answers
What is the value of a? Blank units
Damm [24]

Answer:

289

a^2 x b^2 = c^2

a = 8 b= 15 c = s

64 + 225 = 289

square root 289 = 17

4 0
3 years ago
. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this c
Taya2010 [7]

Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Step-by-step explanation:

given that;

n = 14

mean Ж = 19,850

standard deviation S = 1,084

degree of freedom df = n - 1 = ( 14 -1 ) = 13

H₀ : ц ≥ 20,500

H₁ : ц < 20,500

Now the test statistics

t = (Ж - ц) / ( s/√n)

t = ( 19850 - 20500) / ( 1084/√14)

t = -2.244

we know that our degree of freedom df = 13

from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215

so P = 0.0215

significance ∝ = 0.05

we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )

There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

6 0
2 years ago
Solve for x. x2 = 100 A. -200, 200 B. -100, 100 C. -50, 50 D. -10, 10
ICE Princess25 [194]

Answer:

D. -10, 10

Step-by-step explanation:

Instead of inserting values into x to solve, let's isolate x.

In order to do this, we must take the square root of both sides.

\sqrt{x^{2} } =\sqrt{100}

x=\sqrt{100}

To find the square root of 100, we must figure out what = 100 when multiplied by itself. Reminder, it can be both a positive or a negative square root, as positive times positive is a positive, and negative times negative is a positive.

The square root of 100 is -10 or 10, as 10 x 10 or -10 x -10 = 100.

<u><em>Hope this helps! :)</em></u>

3 0
2 years ago
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