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3 years ago

At the restaurant, your family orders a subtotal of $46.55. Add 6% sales tax and 18% tip. What is the total?

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

8 0

Answer:

Step-by-step explanation:

Now,

if you add the tip after the sales tax,

you will have:

46.55*(6/100)=2.79

the meal cost now 46.55+2.79=49.34

we add tip

49.34*(18/100)=8.88

total cost 49.34+8.88=58.22

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Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di

san4es73 [151]

Answer:

682,000 miles

Step-by-step explanation:

Using the ratio of 186,000 miles per second:

$\frac{miles}{second}=\frac{186,000}{1}$

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon

$\frac{186,000}{1}=\frac{x}{\frac{11}{3}}$ where 'x' is the number of miles between the earth and the moon

Cross-multiply: x = 186,000* $\frac{11}{3}$

Solve for x = 682,000 miles

7 0

3 years ago

Solve x2 + 6x + 7 = 0. (2 points)

Alexandra [31]

Option C: $$x=-3 \pm\sqrt{2}$

Solution:

Given equation is $x^{2}+6 x+7=0$ .

This is a quadratic equation.

Here a = 1, b = 6, c = 7

To solve the given equation by quadratic formula,

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substitute the given values in the quadratic formula, we get

$$x=\frac{-6 \pm \sqrt{6^{2}-4 (1) (7)}}{2 (1)}$

$$x=\frac{-6 \pm \sqrt{36-28}}{2 }$

$$x=\frac{-6 \pm \sqrt{8}}{2 }$

$$x=\frac{-6 \pm2 \sqrt{2}}{2 }$

$$x=\frac{2(-3 \pm\sqrt{2})}{2 }$

2 in the numerator and denominator are cancelled.

$$x=-3 \pm\sqrt{2}$

Option C is the correct answer.

8 0

3 years ago

At the local bakery Ariel bought 2 oatmeal cookies for $1.50. Mei bought 1/2 dozen oatmeal cookies for $4.50. Becky bought 8 oat

sergejj [24]

Answer:

Its proportional because when you divide each oatmeal bought and the amount you will end up with .75

3 0

2 years ago

An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds,

34kurt

Answer:

A. 0.15

B. 0.45

C. 85

Step-by-step explanation:

Given that:

Equation to represent the relation between distance, $d$ in miles and time $t$ in seconds:

$d=0.15t$

A.

To find: The speed of airplane in miles per second.

Formula for speed is given as:

$Speed = \dfrac{Distance}{Time}$

Here, we will have to find the value of $\frac{d}{t}$ .

Dividing the given equation by $t$ , we get:

$\dfrac{d}{t}=0.15$

$d$ is in miles and $t$ is in seconds.

Therefore, the answer is 0.15.

B.

Distance traveled in 30 seconds.

Given that: $t$ = 30 seconds

To find: $d = ?$ in miles

$d = 0.15\times 3 = 0.45$

C.

The time taken to travel a distance of 12.75 miles.

Given that : $d =12.75\ miles$

To find: $t = ?$ seconds

$12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}$

3 0

3 years ago

Please help me thank you.

Anni [7]

The relevant formula for the area of the triangle is
.. A = (1/2)ab*sin(C)
.. = (1/2)*(2.75 mi)*(1.32 mi)*sin(35°)
.. ≈ 1.04 mi^2

The 4th selection is appropriate.

3 0

3 years ago