Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answer:

97.8

Step-by-step explanation:

add together 97.3 +0.5

Answer:

12 strawberries

Step-by-step explanation:

Let

\(S = Strawberry\)

\(G = Grape\)

\(H = honeydew\)

Given

\(S : G = 3 : 9\)

S : H = 6 : 14

Required

Solve for S when G = 36

To do this, we make use of the first ratio

\(S : G = 3 : 9\)

Substitute 36 for G

\(S : 36 = 3 : 9\)

Convert ratio to fractions

\(\frac{S}{36} = \frac{3}{9}\)

\(\frac{S}{36} = \frac{1}{3}\)

Cross Multiply

\(S * 3 = 36 * 1\)

\(3S = 36\)

Divide through by 3

\(\frac{3S}{3} = \frac{36}{3}\)

\(S = \frac{36}{3}\)

\(S = 12\)

The (b) part of the question can not be solved with the given details.

However, some equivalent fractions are:

\(\frac{1}{2} = \frac{2}{4}\) ---- 0.5

\(\frac{5}{15} = \frac{10}{30}\) --- 0.33

\(\frac{4}{7} = \frac{8}{14}\) --- 0.57

To get the equivalent fractions, you have to convert the fractions to decimal and then make comparison.

Answer

-25/27

Step-by-step explanation:

Answer:

6.2 approx i believe

Step-by-step explanation:

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

density: 0.25 g/cm³

Explanation:

density = mass/volume

Here given:

· mass: 16 grams

· volume: side³ = 4³ = 64 cm³

Find density:

· mass/volume

· 16/64

· 0.25 g/cm³

Answer: 4(3-2x)

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

We have the expression:

\((8+t)^3-6\)

And we want to evaluate it when t=2.

Hence, we will substitute 2 for t and evaluate. Therefore:

\(=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994\)

Therefore, our final answer is 994.

Answer:

This is false

Step-by-step explanation:

Answer:

.32

Step-by-step explanation:

When converting percents to decimals, drop the percent sign, and move the decimal two places to the left.

~theLocoCoco

Both |-38| and -(-38) are equal to 38, the correct symbol to insert between the pair of numbers is "=" (equals). Hence, the true statement is: |-38| = -(-38)

To determine the relationship between |-38| and -(-38),

let's evaluate each expression separately:

|-38| = 38 (since the absolute value of -38 is equal to 38)

-(-38) = 38 (since negating a negative number results in a positive number)

Therefore, |-38| = -(-38) = 38.

Since both |-38| and -(-38) are equal to 38, the correct symbol to insert between the pair of numbers is "=" (equals).

Hence, the true statement is:

|-38| = -(-38)

It's important to note that the absolute value function (denoted by | |) always yields a non-negative value, regardless of the sign of the number within the absolute value brackets.

In this case, |-38| evaluates to 38, and the negation of -38 also evaluates to 38, resulting in an equality between the two expressions.

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Answer:

x-int: (2, 0)

y-int: (0, -4)

Step-by-step explanation:

Step 1: Convert to slope-intercept form

2y = -4x - 8

y = -2x - 4

Step 2: Find y-int (Set x to 0)

y = -2(0) -4

y = -4

Step 3: Find x-int (Set y = 0)

0 = -2x - 4

4 = -2x

x = 2

Answer:

The x=-2 and y=-4

Step-by-step explanation:

x=(-2,0)

y=(0,-4)

DO the math and you will get the answer

I hope this helps

Stay safe:)

USe desmo

Answer:

i believe the answer would be option D

Step-by-step explanation:

Answer:

D

\(y-5=3(x+1)\)

Step-by-step explanation:

We can see that the question is asking for the Point-Slope Form;

\(y-y_{1} =m(x-x_{1})\)

The points go into the equation for \(y_{1}\) and \(x_{1}\)

\(y-5=m[x-(-1)]\)

M would be the slope;

\(y-5=3[x-(-1)]\)

Which basically is:

\(y-5=3(x+1)\)

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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Answer:

14

Step-by-step explanation:

cause both are congruent which means the same size if one has 14 why shouldnt the other too

Answer:

the first on is the 3 answer : no they incest then maximum then middle and the second one is the 2 one : brown

step-by-step explanation:

hope it help byeee

Answer:

5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0

Answer:

the answer would be D

Step-by-step explanation:

sec = 1/cos

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

38 percent of the Cocoa is produced in the ivory coast, with thousands being produced in Ghana, so Ghana is the main production rate of the cocoa, with the ivory coast producing less than half.

Step-by-step explanation:

The population is the entire set of registered voters (11100) in the city. This is what the election officials care about, so they won't focus on any other city data.

Inside that population, the much smaller sample is generated to try to make an educated guess about what the population will do. In this case, the sample is the 400 people surveyed. If the sample was generated randomly enough, then it should be unbiased to give a good idea of what the population will do.

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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Answer:

6090

Step-by-step explanation:

Answer:

The diagram shows a right angle  3 x = 90 so x = 30

Or x + 3 x = (180 - 60) = 120

And again x = 30 deg

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

I hope this answer is helpful ):