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mr Goodwill [35]
3 years ago
8

Ms. Myree's bill at a restaurant was $24.20 before tax. The sales tax rate was 0.05, and Ms. Myree also included a $5 tip. How m

uch did she spend at the restaurant, in dollars?
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

$30.41

Step-by-step explanation:

24.20 + 24.20(0.05) + 5 =

24.20 + 1.21 + 5 = 30.41

the 1.21 represents the amount she paid in sales tax

You might be interested in
Thomas's cat, Rainwright, eats 0.8 cans of food every day. How much will Thomas spend on food in one week if each can costs $1.7
marshall27 [118]
1 week = 7 days
0.8 \times 7 \times 1.75 \\  = 9.8

Answer : Thomas spends $9.80 on food in one week.

Hope this helps. - M
3 0
3 years ago
show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

8 0
3 years ago
1/4-5/8n is equivalent to p(2-5n)​
jolli1 [7]

Answer:

1/4 - 5/8n = p (2-5n)

7 0
3 years ago
Read 2 more answers
How many solutions does the equation |x + 6| − 4 = c have if c = 5? If c = −10? Complete the explanation
mixer [17]

Answer:

<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>

Step-by-step explanation:

We know

|a|\geq0

for any real value of <em>a</em>.

|a| = b > 0 -  <em>two solutions: </em>a = b or a = -b

|a| = 0 - <em>one solution: a = 0</em>

|a| = b < 0 - <em>no solution</em>

<em />

|x + 6| - 4 = c

for c = 5:

|x + 6| - 4 = 5           <em>add 4 to both sides</em>

|x + 6| = 9 > 0   <em>TWO SOLUTIONS</em>

for c = -10

|x + 6| - 4 = -10           <em>add 4 to both sides</em>

|x + 6| = -6 < 0   <em>NO SOLUTIONS</em>

<em></em>

Calculate the solutions for c = 5:

|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9         <em>subtract 6 from both sides</em>

x = 3 or x = -15

5 0
3 years ago
The problem is 6.82/1,000 what does that equal to ?
Dovator [93]
When you divide something by 10, yo move the decimal place one place to the left so exg
20.0/10=2.0

so divide by 1000 means move the decimal place 3 places to the left so if you had 20,000.0/1000=20.0 so
6.82/1000=0.00682
6 0
3 years ago
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