Challenge A new coffee shop sold cups of hot coffee and cups of iced coffee during its first two days. The ratio of cups of hot coffee sold to cups of iced coffee sold on the first day was . On the second​ day, the shop sold as many cups of iced coffee as the first day. The ratio of cups of hot coffee sold to cups of iced coffee sold on the second day was . How many cups of each type of coffee did the shop sell each​ day?

Answers

Answer 1

Answer:

1 day =   221 hot coffee cups and 117 iced coffee cups

2 day = 247 hot coffee cups and 234 iced coffee cups

Step-by-step explanation:

A new coffee shop sold 468 cups of hot coffee and 351 cups of iced

coffee during its first two days. The ratio of cups of hot coffee sold to cups of

iced coffee sold on the first day was 17 : 9. On the second day, the shop sold

twice as many cups of iced coffee as the first day. The ratio of cups of hot

coffee sold to cups of iced coffee sold on the second day was 19 : 18.

a) How many cups of each type of coffee did the shop sell the first day?

Let  cups of hot coffee be denoted by x

Then

17x+ 19x= 468

or

36x= 468

x= 13

On the first day the number of hot coffee cups sold are 17y or 17*13=  221 cups.

On the second day the number of hot coffee cups sold are 19y or 13*19=  247 cups.

Similarly Let  cups of iced coffee be denoted by  y

Then

9y+18y= 351

27y= 351

y= 351/27= 13

On the first day the number of iced coffee cups sold are 9y or 13*9=  117 cups.

On the second day the number of iced coffee cups sold are 18y or 13*18=  234 cups.


Related Questions

2x+4y=8
x+2y=4

Which of the following statements is true about the ordered pair (-2,3) is TRUE?


1. It is one of many solutions to the system

2. It is not a solution to either equation

3. It is the only solution to the system of equations

4. It is a solution to the first equation but not the second equation

Answers

Answer:

(-2, 3) is one of many solutions to the system

Step-by-step explanation:

Let's actually solve the system so that we can compare the result with the given pair (-2, 3):

Multiplying the second equation by -2 results in:

2x + 4y = 8

-2x - 4y  = -8

We see that these equations are identical.  Thus, there are infinitely many solutions.  

1. is true:  (-2, 3) is one of many solutions to the system

The other three possible answers are incorrect.

01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]

Answers

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

Which of the following numbers below is an irrational number?

A.-9.5

B.1.75

C.π (pi)

Answers

Answer:

pi

a pie is equal to 22/7

do it is not a rational no

1 point
14. consider the polynomial
p(x) = 2x“ – (m + 3)x – 1.
If p(x) is divisible by x-2 then m=

Answers

Answer:

If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].

Step-by-step explanation:

Let [tex]p(x) = 2\cdot x^{2}-(m+3)\cdot x - 1[/tex], if [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]p(2) = 0[/tex]. That is:

[tex]2\cdot 2^{2}-(m+3)\cdot (2)-1 = 0[/tex]

[tex]8 - 2\cdot m -6 -1 = 0[/tex]

[tex]1 -2\cdot m = 0[/tex]

[tex]2\cdot m = 1[/tex]

[tex]m = \frac{1}{2}[/tex]

If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].

HELP giving brainlest and more points

Answers

Answer:

2970

Step-by-step explanation:

I hope it helped :) if it didnt just message me since in confused whats the dot between the 6.3 and 10²

Answer:

2.97*10^3

Step-by-step explanation:

You have to solve it first so you have 2970 as your answer but you want it in scientific notation. To do this put the decimal after the first number this gives you 2.970. Whenever you need to make the number bigger you use a positive power and whenever you want to make a number smaller you use a negative power. The amount of powers the 10 gets is the amount of times you move it over. You have 2.970 and to get to the original number you need to move it 3 places to the right. Going to the right with your decimal makes it bigger which what you want, so you have 2.970*10^3 as your answer.

Can someone help me

Answers

Answer:

Pattern A starts at 0 and uses the rule Add 2

Pattern B starts at 0 and uses the rule Add 3.

hope this helps

what are air and water called??
watir??

Answers

Answer:

aired water

Step-by-step explanation:

dunno sjdnsnwndnejeej hi

hello

help please thank you

Answers

area of triangle
4 x 6 = 24
24/2 = 12 ft^2
area of rectangle
7.5 x 6 = 45 ft^2

Answer:

12 is the area of the triangle, 4 x 6 = 24 divided by 2 = 12.

7.5 x 6 = 45

For the rectangle

Find the area of square ABCD in which
diagonal BD=3√2cm​

Answers

Answer:

area of square when given only diagonal is 1/2d×square so

1/2×3√2×3√2

=9 cm square

Step-by-step explanation:

What is a energy
[tex]51 + (19 + 46) = [/tex]

Answers

Answer:energy is such thing which cannot be created nor be destroyed but can be change from one form to another.

51+(19+46)=51+65=116 is your answer

25 The library has an empty bookcase with 4 shelves. Each shelf can hold 23 chapter þooks. If the library has 117 new chapter books, how many will not fit on the bookcase?.

Answers

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

16 divided by the square root of 4 over 2 squared

Answers

Answer:

[tex]\frac{16}{\sqrt[2]{4^{2} } } =16/4=4[/tex]

Step-by-step explanation:

A Florida juice company completes the preparation of its products by sterilizing, filling, and labeling bottles. Each case of orange juice requires 9 minutes for sterilizing, 6 minutes for filling, and 1 minute for labeling. Each case of grapefruit requires 4 minutes for filling, 10 minutes for sterilizing, and 2 minutes for labeling. Each case of tomato juice requires 1 minute for labeling, 4 minutes for filling, and 12 minutes for sterilizing. The company runs the sterilizing machine for 398 minutes, the filling machine for 164 minutes, and the labeling machine for 58 minutes, how many cases of each type of juice are prepared?
1. Carefully identify your variables and write the equations that need to be solved.
2. Solve the system by the Gauss-Jordan elimination method.

Answers

Answer:

1.

R= Number of orange juice cases.

G = Number of greapefruit juice cases.

T = Number of tomato juice cases.

Equations:

9R+10G+12T=398

6R+4G+4T=164

R+2G+T=58

2.

R=6

G=20

T=12

Step-by-step explanation:

1.

The problem is talking about three types of products and it wants us to find how many of each the factory prepares. Since this is the data we need to know, then we set them to be our variables:

R= Number of orange juice cases.

G = Number of greapefruit juice cases.

T = Number of tomato juice cases.

Next, we can use the provided information to build our equations. First, we start with the Sterilizing machine equation: 9 minutes for orange juice, 10 minutes for grape juice and 12 minutes for tomato juice. So we use the sterilizing values for each of the product, to build our first equation:

9R+10G+12T=398

next, we build the filling machine equation, so like on the previous equation, we use the provided data for filling to build the second equation:

6R+4G+4T=164

and finally we build the labeling machine equation so we get:

R+2G+T=58

so we need to solve the following system of equations:

9R+10G+12T=398

6R+4G+4T=164

R+2G+T=58

2.

The very first thing we need to do in order to solve this problem by using the Gauss-Jordan elimination method is to build our matrix based on the system of equations we got on the previous part.

[tex]\left[\begin{array}{cccc}9&10&12&398\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]

The idea is to end up with an identity matrix on the first three columns, that will directly give us the answer to the system of equations. So we can start by dividing the first row into 9: [tex]\frac{R_{1}}{9}[/tex] So we get:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]

Next, we can multiply the first row by -6 and add it to the second row to get the new second row. [tex]-6R_{1}+R_{2}[/tex]

so we get:

-6   -20/3   -8   -796/3

6     4          4      164

---------------------------------

0    -8/3    -4    -304/3

our matrix now looks like this:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\1&2&1&58\\\end{array}\right][/tex]

Next, we can subtract R3 from R1 so we get:

1   10/9   4/3   398/9

-1   -2     -1       -58

------------------------------

0    -8/9   1/3   -124/9

So the matrix looks like this now:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Now, we can multiply the second row by -3/8 so we get:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Now, we can subtract: [tex]R_{1}-\frac{10}{9}R_{2}[/tex] so we get:

0   -10/9   -5/3  -380/9

1      10/9    4/3   398/9

------------------------------

1        0       -1/3   2

So the matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Next, we do the following operation: [tex]R_{3}+\frac{8}{9}R_{2}[/tex]

0      8/9      4/3 304/9

0      -8/9     1/3   -124/9

------------------------------

0       0         5/3   20

So our matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&\frac{5}{3}&20\\\end{array}\right][/tex]

We next multiply R3 by 3/5 so we get:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]

and now we do: [tex]\frac{R_{3}}{3}+R_{1}[/tex]

0         0      1/3       4

1           0     -1/3      2

------------------------------

1       0          0        6

So our matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]

and now we do the following: [tex]R_{2}-\frac{3}{2}R_{3}[/tex]

so we get:

0         0      -3/2     -18

0         1       3/2      38

------------------------------

0        1          0        20

for our final matrix to be:

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&0&20\\0&0&1&12\\\end{array}\right][/tex]

so now we can retrieve the corresponding answers:

R=6

G=20

T=12

Robert wants to purchase a skateboard for $109.98. He will also have to pay a 6.5% sales tax,

a) How much did he pay in tax?

b) What is the total cost of the skateboard?




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Answers

Answer:

$117.13

Step-by-step explanation:

Hope this answers your question and have a great day!

Test scores from Mr. Moore's 5th period class are given below.
91, 48, 86, 73, 86, 49, 77, 86, 64, 78, 64, 82, 68, 82, 72, 68, 82
Which of the following histogram correctly displays this data?

HELP PLEASEE

Answers

Answer: C :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

None of the test scores in the data, displays one of the test scores being 55, but 49 is the closest to 55, but it's closer to 45, so therefore, we know that there isn't any test scores with the grade of 55!

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

The scale factor is 2 because every aspect of figure a doubled.

Answer:

2

Step-by-step explanation:

Figure B is 2 times the size of figure A

You can tell by counting the squares at the lines

How do I found the volume of a rectangular prism and a traingular prism?

Answers

Answer:

volume of rectangular prism is lxwxh volume of triangular prism is bxh÷2

i will give brainlest if u help me last one

Answers

Answer:

1) 22/20 = 1.1

2) 18/15 = 1.2

3) No, because they both are different values and their slopes are different.

Hope this helps :)

Brainliest?

PLEASE HELP PLEASE PLEASE

Answers

Answer:

1.52500 times 10 minus 5 m4

Step-by-step explanation:

Ayuda por favor, es de calculo diferencial Tema: optimización.

Se desea construir una caja sin tapa que contenga el máximo volumen a partir de una lámina cuadrada de 10 m de lado. Determina las dimensiones de la caja.

Answers

Answer:

dots dots tods jajtikalaj majc kala mo meroonnn anoo asa ka

Just need some help pls! : )

Answers

ans B

the interquartile range = 9-6=3

Answer:

B. 3

Step-by-step explanation:

Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1

Answers

Answer:

-x + 1

Step-by-step explanation:

First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2.  Note that +(-2) = -2.

Next, combine like terms.  We get -x + 1.  

Double check to determine whether this is one of the given possible answers.

What is an equivalent form of log3 8?
log 8
log 3
log 8
Submit Answer
log 3
O 3 - log 8
O 8. log 3

Answers

Answer:

log 8

Step-by-step explanation:

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]


HELP

Puzzle Four
Answer the following problems and then find the sum of all your
answers to unlock puzzle four.
1550
1
3
4
2)
3)
m21
mz 4
mus
m27
6
7
5)
mzCDE
5x + 15
B-42
6)
MZABC
110
3
А
O
7)
MZMNO
1151
M
Code:
the Midwest 2009

Answers

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

1)

x + 155 = 180

x = 25

2)

<4 = 155 because of vertical angle thm

3)

<5 = 25 (congruent to <1) b/c of corresponding angles thm

4)

<7 = <5 (25) because of vertical angles thm

5)

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

6)

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

7)

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

Plz help asap with explanation and will get the brilliant

Answers

3x + y = -3
-2x + y = 7
Use elimination method
Subtract both equations
5x = -10, x = -2
Plug in -2 for x (any equation)
3(-2) + y = -3
-6 + y = -3
y = 3

Solution: x = -2, y = 3
Or as a coordinate: (-2, 3)

Answer:

(-2,3)

Step-by-step explanation:

Describe the effects of translating abc abc

Answers

Answer:

If you meant describe the effects of translating Δ ABC to Δ A'B'C'.

D. Each x - coordinate decreased by 6 and each y - coordinate increased by

Use the coordinate A as an example it moves to the right 6 times(x increasing) and down 3 times (y decreasing)

Please provide explanation

Answers

Answer:

27

Step-by-step explanation:

3^2*(2^3+4)

-------------------

2^2

Parentheses first

(2^3+4) = (8+4) = 12

Replace the parentheses

3^2*(12)

-------------------

2^2

Then Exponents

9*(12)

-------------------

4

Multiply

108

-----

4

Divide

27

8
6
5
3
2
DI
E
1
8 -7 -6 -6 -4 -3 -2 -1
12 13 4 5 6
-1
-2
O A. The two figures are congruent.
O B. The pre-image is in Quadrant I
O C. The orientation of the figure stayed the same.
O D. The transformation is a reflection

Answers

Answer:

answer is I'm guessing B.

Question 17(5 points)
Find the missing side lengths. Leave your answers as
radicals in simplest form.
60°
2V3
ZZ
A) u = 4, v= 2V3
C) u=2V2, v=2V3
B) u=2V2, v= 2
D) u = 4, y = 2

Answers

Answer:

D) u=4 , v=2

Step-by-step explanation:

This is as 60 30 90 triangle.

One leg is x

Second is x sqrt 3

The hypotenuse is x(2)

So hope that helps

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