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2 years ago

10

Danielle wants to leave a 15% tip on her restaurant bill. The total she pays with the 15% is $94.30. What is her restaurant bill

? PLEASE HELP IVE BEEN STUCK FOREVER

1 answer:

Vlad [161]2 years ago

8 0

Answer:

$628.67

Step-by-step explanation:

15% of her restaurant bill is $94.30.

15 goes into 100, 6 2/3 times. so we multiply both 15% and $94.30 by 6 2/3 to get 100% and the restaurant bill.

15% x 6 2/3 = 100%

$94.30 x 6 2/3 =

628.666666

or

$628.67

I hope that this helps! :)

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1 + 1 2 ⋅ (4x − 6) = −2

Dmitry [639]

1.4375

<u>Step-by-step explanation:</u>

Step 1:

Let the given equation be $1+12(4X-6)=-2$

To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.

Step 2:

Let us expand the equation as $1+ (12*4X)-(12*6)=-2$

Step 3:

Let us expand it further as $1+48X-72=-2$

Step 4:

To find X segregate X in one side and all other remaining terms in other side as follows

$48X=-2+72-1$

After the simplification the numerical value is

$48X=69$

Step 5:

Keep X along one side and bring 48 to the denominator of another side to find X as follows

$X=69/48$

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4 0

3 years ago

Read 2 more answers

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

grigory [225]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where $p$ is pounds and $t$ is total cost:

UPS: $t=7+0.20p$

FedEx: $t=5+0.30p$

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

$7+0.20p=5+0.30p$

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is $0.20x$ . That would turn the equation into:

$7=5+0.10p$

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

$2=0.10p$

Now, you must divide both sides by $0.10$ .

$\frac{2}{0.10}=\frac{0.10p}{0.10}$

That would give us:

$20=p$

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

$t=5+0.30(20)$

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: $t=11$ .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

3 0

3 years ago

Can you help me answer this? please

Leya [2.2K]

Answer: 1859.5 mini bears

Step-by-step explanation:

From the information given in the question,

10 mini bars = 12.1 grams

10 regular bars = 23.1 gram

1 super bear = 2250 grams

To eat enough mini bears to match the super bears, the number that it'll take will be:

Since 10 mini bars = 12.1 grams

1 mini bear = 12.1 grams / 10 = 1.21 gram

Since 1 super bear = 2250 grams, the number of mini bears needed to equate this will be:

= 2250/1.21

= 1859.5 mini bears

5 0

3 years ago

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

ANSWER PLEASEEE

PtichkaEL [24]

Step-by-step explanation:

-3x+2=11

-3x=11-2

-3x=9

x=9÷(-3)

5 0

3 years ago