Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes​

Answers

Answer 1

Answer:

85

Step-by-step explanation:


Related Questions

Plsss this is timed!

Answers

Answer:

c i think ???

Step-by-step explanation:

I think it’s D???

sorry if it’s wrong

The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217

Answers

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

       

The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?

Answers

We can use the formula: is/of = %/100.

% = 60

of = 160

[tex]\frac{x}{160}=\frac{60}{100}[/tex]

100x = 9600

x = 96

96 students participated in the fundraiser.

please help me asap!​

Answers

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

help pls giving branliest

Answers

Answer:

https://youtu.be/TZbTr1oBwKU

On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?

Answers

Answer:

3 2/3 miles

Step-by-step explanation:

1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3

Answer: 3 2/3 miles

Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please

Answers

Answer:

27

Step-by-step explanation:

Find the slope of the line through the two points. (3, 7) and (4, 9)

Answers

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(4-3)

m=2/1

m=2

Find the area of the region (CALCULUS HELP I WILL VOTE BEST ANSWER)

Answers

I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.

I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.

The region is then the set of points,

R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}

so the area is given by the integral,

[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

Given angle DEF : angle RST, find the scale factor.

Answers

The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

[tex]\frac{4}{3}=\frac{16}{x}[/tex]

4x = 48

x = 12

what is the distance of 120 and -5 on a number line

Answers

Answer:

the distance between-5 to 120 on a number line is 124

I need help hurry!!!!​

Answers

Answer:

none of the above is a pythagorean triple

Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?

Answers

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41

Answers

Answer:

B. 37 + 7 = 44

Step-by-step explanation:

If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.

B is the answer 37 + 7 = 44

Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*

1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5

Answers

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1

Answers

Answer:

i think the answer is 5x+1 that how i was taught srry if its wrong

How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed

Answers

Answer:

308915776 six-letter passwords are possible with repetitions

Step-by-step explanation:

Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.

This can be represented as 26^6=308915776

With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, The six letter passwords are formed using the letters A through Z

with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.

Therefore it would be,

= 26⁶ passwords.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

Choose all that are true. A square is a

Answers

A square is a Shape.
Because it wanted to be one

Find P(4).
A 1/8
B 1/4
C 1/2

Answers

The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.

Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23

Answers

The answer is 38 since range=high - low = 58-20

Fill in the missing parts. Then determine which bowl contains more sodium.

Soup A

Sodium(mg) 720
Ounces 6 1
Soup B

Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)

Answers

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?

Answers

Answer:

One third or 1/3

Step-by-step explanation:

1/3 simplified or 4/12

Rick kept track of wins and losses for each game attempt in the following table.

Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175

Select the correct statement.

A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.

Answers

Answer:

The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.

Step-by-step explanation:

Given the data:

Game Number of Wins Number of Losses

Get-It-Rolling (A) 26 173

Bag-of-Tokens (B) 54 141

Pick-Your-Tile (C) 17 175

EXPERIMENTAL PROBABILITY:

Game A :

Number of games played = 26 + 173 = 199

Experimental probability :

Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306

Theoretical probability :

1 / 8 = 0.125

Game B :

Number of games played = 54 + 141 = 195

Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769

Theoretical probability = 1 / 7 = 0.1429

Game C :

Number of games played = 17 + 175 = 192

Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885

Theoretical probability = 1 / 12 = 0.08333

From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.

find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary​

Answers

9514 1404 393

Answer:

  1487.31 yd³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

  V = (2/3)πr³ + πr²h

  V = πr²(2/3r +h)

  V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

Answer:

4187.31 yd³ is thr volume of a fugure

Claire went home after school and told her mother that 1 whole is the same as 2/2 and 6/6. Her mother asked why, but Claire couldn't explain. Use a number line and words to help Claire show and explain why. 1 = 2/2 = 6/6.

Answers

2/2 means 1/2 and 1/2
The distance between 0 and 1 and then 1/2 again we will end up at 1. Think of cutting the distance from 0 to 1 into two equal pieces and Together those pieces equal 1 whole. we do the same and cut the distance into 6 and then take six such pieces we again get the whole distance from 0 to 1 or one whole.

someone please help me answer this!!1

Answers

Answer:

b = 9m is the answer.

Step-by-step explanation:

a = 12m

b = ?

c = 15m

According to the Pytagorean theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9

∴ The slide is 9m away from the monkey bars.

(3/4)(-4/3) = 0
True or False

Answers

Answer:

False

Step-by-step explanation:

(3/4)(-4/3)=-3/2

Answer:

true

Step-by-step explanation:

your welcome

help due tonight.. *no links please*

Answers

Answer:

supplementary angle = angle 2 and angle 3

vertical angle = angle 2 and angle 4

hope it helps

What is the measure of ABC

Answers

Answer:

63

Step-by-step explanation:

angle abc =half of arc DE + half of arc AC

Other Questions
this is a possessive adjective true false write 0.001574 in scientific notation Lauren studies for 3 \frac{1}{3} 3 1 hours. She took a break every \frac{2}{3 } 3 2 hour. HOW MANY breaks did she take? can you please help me The volume of this cylinder is 16,328 cubic millimeters. What is the height? Which quadratic expression is in vertex form? 1. Cul de las siguientes opciones es verdadera respecto de las propiedades de las ondas? A) El perodo y la frecuencia son inversamente proporcionales. B) El perodo no se relaciona con la frecuencia. C) El periodo es el nmero de ciclos en un cierto tiempo d) El perodo y la frecuencia son directamente proporcionales. Solve 2in,3in,and 5in MOOOAAAANI BEEP BEEP WANT MORE MOOOOAN Solve the equation. x^x=3/4(6) Night Eliezer Wiesel poem need helppppp due todayy!!!! which group has a larger median number of bones discovered? Mimi uses a 7.5-gal bucket to fill a wading pool. She pours 12 buckets full of water into the pool, which can hold up to 138 gal of water. She wants to solve for n, the number of additional full buckets of water she can pour into the pool. Which sentence includes a verb in the indicative mood? The diameter of a planet is about 10790 mi. The diameter of the planet's moon is about 33% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon? Texas entrepreneur H. Ross Perot opposed NAFTA and ran for president in 1992 and 1996 as a third-party candidate. By running as a Texas conservative he was able to take away votes from the Republican party, which resulted in the defeat of which president? does this function equal 4 on the interval [4, 5]?[tex] \frac{10 \cos(x) }{x-2} [/tex] How many 2-liter bottles of soda will you need to fill ten 500 milliliter containers? What brand is this please no links A coin is flipped 1000 times in a row. What is the probability that on the 999th flip, the coin will land on tails? When warm, moist air rises, it _____________________ as atmospheric pressure decreases at higher altitudes. Air's ability to hold water vapor is decreased as pressure is reduced and cools adiabatically and eventually reaching its saturation level. As a result, rising air becomes unable to hold water vapors (air is saturated), leading to condensation and then followed by ________________________.