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2 years ago

12

The waiter at El Jarrito brought you the bill. The amount was $53.70. You thought the waiter did the best job you have even seen

so you tipped 20%. How much did you end up sending for the whole meal?

1 answer:

grandymaker [24]2 years ago

7 0

Answer:

$64.44

Step-by-step explanation:

To find the amount for the tip, multiply $53.70 by 20%.

First, change 20% to a decimal by moving the decimal left two places, or dividing 20 by 100.

20% = 0.2 as a decimal

Now you can multiply to find the tip.

$53.70 x 0.2 = $10.74

Finally, add the tip to the amount of the bill.

$53.70 + $10.74 = $64.44

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A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed

Arada [10]

Answer:

4 divided by 2 = 2 so 2carrots per cup of water

Step-by-step explanation:

Hope this helps

5 0

3 years ago

Read 2 more answers

Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

3 years ago

Another easy middle school question

nekit [7.7K]

Answer:

D

Step-by-step explanation:

Slope-intercept form is [ y = mx + b ] where m = slope and b = y-intercept. We are already given the slope and y-intercept so m = 2 and b = -4.

y = 2x - 4

Best of Luck!

6 0

3 years ago

Madison's family traveled 5 7 of the distance to her uncle's house on Saturday. They traveled 1 2 of the remaining distance on S

Pepsi [2]

Answer:

The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7

Step-by-step explanation:

Let the total distance from Madison house to her uncle is 1 unit

She travels 5/7th of the total distance on Saturday

Remaining distance = $1-\frac{5}{7} = \frac{2}{7}$

She travels 1/2 of the remaining distance on Sunday.

Hence, the fraction of the total distance to her uncle's house that was traveled on Sunday is 1/2 * 2/7 = 1/7

3 0

3 years ago

HELP PLEASE, ITS DUE TODAY IN AN HOUR!!

Schach [20]

Answer:

D

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 )

If m > 0 , then line slopes upwards from left to right

If m < 0 , then line slopes downwards from left to right

y = 3x - 2

has m > 0 and c = - 2 , thus line slopes upwards crossing the y- axis at - 2

y = - 2x + 3

has m < 0 and c = 3, thus line slopes downwards crossing the y- axis at 3

on the graph this is the lower blue line and the red line

the solution to the system is at the point of intersection of the 2 lines

This is at point D

4 0

2 years ago