Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Lamar is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $35 for the meal, plus $4 per kilogram for the lobster he picks. At the second restaurant, Lamar would pay $3 per kilogram for the lobster, in addition to $44 for the meal. Lamar realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Lamar pay for his dinner? What is the weight?


Dinner would cost $__ at either restaurant if Lamar's lobster weighed __ kilograms.

-5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

x < -4

The solutions to the above inequality will lie in the region (-∞, -4)

x ∈ (-∞, -4)

From the number line, we can mark the region for the above interval (refer attached picture)

Thus, -5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

The probability that Jeremy randomly selected a round tile and a square tile from the sets is given as 1/40 (Option D).

Probability in mathematics is the branch of maths that speaks to the likelihood of an event occurring. Probability is usually given or described to occur between 0 and 1.

1 is the likelihood that the event will occur while zero is the certainty that an event will NOT occur.

Taken in decimal form, the likelihood of the above event occurring will very slim, because, 1/40 = 0.025

Learn more about Probability at:

https://brainly.com/question/24756209

Answer:

y= 2x -2

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is they y-intercept

[tex]\textcolor{violet}{\text{\textcircled{1} Find the slope}}[/tex]

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

[tex]slope = \frac{0 - ( - 2)}{1 - 0} [/tex]

[tex]slope = \frac{0 + 2}{1} [/tex]

slope= 2

[tex]\textcolor{violet}{\text{\textcircled{2} \text{Substitute value of slope into m}}}[/tex]

y= 2x +c

[tex]\textcolor{violet}{\text{\textcircled{3} Find c}}[/tex]

Given that the y-intercept occurs at (0, -2), c= -2.

[tex]\textcolor{violet}{\text{\textcircled{4} Substitute the value of c into the equation}}[/tex]

y= 2x -2

The vertex form of the given equation, y = -6x² + 3x + 2, is expressed as: y = -6(x - 0.25)² + 2.375.

The vertex form of an equation is expressed as, y = a(x - h)² + k, where:

(h, k) = vertex of the parabola.

Given the equation, y = -6x² + 3x + 2, factor the equation:

y = -6(x² - 0.5x) + 2

y = -6(x² - 0.5 + 0.0625) + 2.375

Rewriting the equation as perfect squares, we would have:

y = -6(x - 0.25)² + 2.375

The vertex form of y = -6x² + 3x + 2 is, y = -6(x - 0.25)² + 2.375.

Learn more about vertex form of an equation on:

https://brainly.com/question/13912185

Answer:

c y = -6(x-1/4)^2+19/8

Step-by-step explanation:

Answer:

Los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.

Por ejemplo un ángulo de 20º tendría un ángulo cotermiunal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.

a)2560º÷360º =7 ⇒  7×360º+40º, luego 40º será su ángulo coterminal entre 0º y 360º

b) 3.600º÷360º= 10 ⇒ 10×360º+0, luego 0º será su ángulo coterminal entre 0º y 360º

c) 1.090º÷360º= 3 ⇒ 3×360º+10º, luego 10º será su ángulo coterminal entre 0º y 360º

Step-by-step explanation:

Primero lo que necesitas saber es que los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.

Por ejemplo: un ángulo de 20º tendría un ángulo coterminal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.

Apartir de lo anterior, aplicamos lo siguiente:

2560º÷360º =7 ⇒  7×360º+ 40º,

Respuesta: 40º será su ángulo coterminal entre 0º y 360º.

Answer:

56 questions.

Step-by-step explanation:

percent got wrong = 100% - percent got correct.

percent got correct = 72%

percent got wrong = 100%-72% = 28% or 0.28

questions got wrong = total questions * percent got wrong.

total questions = 200

questions got wrong = 200*0.28 = 56 questions

Therefore, Sophie got 56 questions wrong.

Hope this helps!

Please mark as brainliest!

Answer: 15 guests.

Step-by-step explanation:

As the statement says that Carly has 9 1/2 of ice cream and each guest will be served 3/5 pint of ice cream, to determine the number of guests that she can serve, you have to divide 9 1/2 by 3/5:9 1/2÷3/5. 19/2÷3/5=95/6= 15According to this, the greatest number of guests that Carly can serve is 15 guests.

Answer:

45 Handshakes.

Step-by-step explanation:

10 people shake hands.

So, each person will shake hands with 9 other people.

Total number of handshakes = 90/2 = 45

Answer:

500^1/3

Step-by-step explanation:

Since it is a cube root, the exponent is 1/3.

Answer:

5*25=125

Step-by-step explanation:

Answer:

The answer would be 125

Step-by-step explanation:

Answer:

the other candidate received 1875 votes

Step-by-step explanation:

if you add 50 and 25 percent you get 75 which leaves only 25 percent and to get the number or votes multiply 7500 by 0.25 or 7500 divided by 4

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

[tex]A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}[/tex]

[tex]A_L(20) = 166787[/tex]

The amount is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Eli, we have that r = 0.05625, hence the amount will be given by:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A_E(20) = 49000e^{0.05625 \times 20} = 150931[/tex]

It is given by:

[tex]D = A_L(20) - A_E(20) = 166787 - 150931 = 15856[/tex]

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at https://brainly.com/question/25781328

Step-by-step explanation:

table for y = 3x - 2 and graph

the resulting line.

*

for y = 2x + 2 and

graph the resulting

line.

.

2

- 1

0

1

2

1

-8

--5

-2.

1

Answer:

$5,700

Step-by-step explanation:

she would earn $73,850 annualy(sry for my mistakes im in 6th Grade) and the question says how much more will she arn each year as a CPA than as an accountant each year and she would make 68,150 as an accountant so you would subtract 73,850 by 68,150 and you would get $5,700.

Answer:

SQR = 118

RQT = 62

Step-by-step explanation:

SQR + RQT = 180

10x - 22 + 3x + 20 = 180

13x - 2 = 180

13x = 182

x = 14

Answer:

m∠RQT=62°

m∠SQR=118°

Step-by-step explanation:

m∠SQT=m∠SQR+m∠RQT

180°=(10x-22°)+3x+20°

180°=13x-2°

180°+2°=13x

182°=13x

x=182÷13=14°

x=14°

So,

m∠RQT=3(14)+20°=62°

And,

m∠SQR=10(14)-22°=140°-22°

m∠SQR=118°

Answer:

The scatter plot shows a positive association

Step-by-step explanation:

the points show an increasing tendency

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

[tex]\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }[/tex]

Therefore:

[tex]\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}[/tex]

Multiply both sides by 8:

[tex]\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}[/tex]

Solve for x:

[tex]\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}[/tex]

Subtract 184 both sides:

[tex]\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}[/tex]

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

Answer: $28.

Step-by-step explanation: To solve this problem, we should first find the mean of the data with the seven payments that are given already:

22 + 30 + 35 + 25 + 25 + 20 + 27 = 184.

184 / 7 = 26.2857142857.

In order to figure out how much she made the eighth night with the mean of the data being $26.50, we can pick a number and add it to 184 (the total of the seven payments), and divide the total by 8.  The number we can try is 28. The work is done below:

184 + 28 = 212.

212 / 8 = $26.50.

Therefore, Laura's payment on the eighth night was $28.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

All squares must be rectangles.

Step-by-step explanation:

This quadrilateral is known as a square. A square is a closed figure with four sides of equal lengths and four right angles. By definition, a rectangle is a closed figure with four straight sides and four right angles. So comparing both of these definitions, a square must be a rectangle. Rectangles sides are not all equal. This about about the only difference.

Answer:

Mean would be 84, Mode would be 89, Range would be 19.

Step-by-step explanation:

Mean- 89 +78 + 91 + 90 + 89 + 97= 534

534 divided by 6= 89

Mode- There are 2 89's so thats your mode. Mode is your most frequent number.

Range- 97-78=19. For range you have to subtract your highest number by your lowest.

Happy to help you :)

Answer:

Mean: 89

median: 89.5

mode: 89

range: 19

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

f(x) = 3(x + 4)

f(2) = 3(2 + 4)

3 x 2 = 6

3 x 4 = 12

f(2) = 6 + 12

f(2) = 18

Answer:

Step-by-step explanation:

Area of composite shapes:

13) Figure 1:

         Figure1 is a rectangle.

         l = 4 cm & w = 2 cm

Area of figure1 = l * w

                         = 4 * 2

                         = 8 cm²

 Figure2:

              Figure2 is a parallelogram

               base = b = 4 cm

                  h = 4 cm

   Area of figure2 = b * h

                             = 4 * 4

                            = 16 cm²

Area of composite shape = 8 + 16

                                          = 24 cm²

14) Figure1:

       Figure 1 is a trapezium. a & b are parallel sides and h is the height

       a = 4 cm ; b = 6 cm; h = 4 -2 = 2 cm

[tex]\sf Area \ of \ figure1 =\dfrac{(a+b)*h}{2}[/tex]

                        [tex]= \dfrac{(4 +6)*2}{2}\\\\= 10 \ cm^{2}[/tex]

Figure2:

   Figure2 is rectangle. l = 6 cm ; w = 2 cm

  Area of figure2 = 6*2

                             = 12 cm²

Area of composite shape = 10 + 12

                                          = 22 cm²

15) Figure 1 & figure 2:

           Figure 1 and  figure 2 are congruent triangles

             base = b = 3 cm & h= 4 cm

[tex]\sf area \ of \ figure1 \ and \ figure 2 = 2*\dfrac{1}{2}b*h[/tex]

                                        = b *h

                                         = 3 * 4

                                        = 12 cm²

Figure3:

    Figure 3 is a square.

      side =  3 cm

  Area of figure3 = side *side

                             = 3 * 3

                            = 9 cm²

Area of composite shape = 12 + 9

                                          = 21 cm²                      

Answer:

Step-by-step explanation:

This is a horrible credit union  they charged $3, just for her to have access to her own money, then they overdraft fee charged  her for $20  :/   she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money,  it made her also get the overdraft fees.  This seems like usery to me and this bank should be closed.  Fined ,  and barred from doing business.  >:/  

so on the 11th she was -23  dollars,  she was in debt to her bank 23 dollars,  

88-23=65

on the 16th she was 65-43 = 22    postive :)

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books =  mass of bookcase

Answer:

To find GCF we need to find what these expressions have in common

30x²=5*3*2x²

45x⁵=5*3*3x²x³

Now we can see, that GCF=5*3*x² = 15x²

Answer :

15x²

Step-by-step explanation:

[tex]30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)[/tex]

Then the greatest common factor is 15x²

Answer:

2^12=2*2*2*2*2*2*2*2*2*2*2*2=4*4*4*4*4*4=16*16*16=256*16=4096

Step-by-step explanation:

Answer: D) $221.93

Step-by-step explanation: that's the answer on edge.

The solution is, the minimum monthly payment is $221.93. Among the choices, the answer is D.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Solving for the future values of the credit card balances:

1260(1 + 0.12/12)^24

= 1599.8656571502122308900(1 + 0.18/12)^24

= 1286.55253073612259711290(1 + 0.09/12)^24

= 1543.37345291648033351200(1 + 0.16/12)^24

= 1649.0625893406018547

Adding the future balances to obtain total bill:

1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547

= 6078.85

Solving for the annuity A (monthly payments for each account):

1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31

1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93

1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93

1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76

Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93

Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.

To earn more on addition click:

brainly.com/question/29560851

#SPJ5

Answer:

Step-by-step explanation:

a. 3.2 feet

Answer:

When the water was 4 feet from the end of the hose, what was its height above the ground?

Step-by-step explanation:

2022 Edge Unit Review Test