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Yuki888 [10]
1 year ago
15

A​ 0.8-liter bottle of Mexican wine costs 101 pesos. At that​price, how much would a​ half-gallon jug of the same wine cost in​d

ollars?
Mathematics
1 answer:
monitta1 year ago
3 0

Answer:

$12.18

Step-by-step explanation:

Given:

Cost of 0.8 liter bottle of Mexican wine = 101 pesos

or

cost of 1 liter bottle of Mexican wine = \frac{\textup{101}}{\textup{0.8}} pesos

Now,

1 Mexican pesos = 0.051 dollars

thus,

cost of 1 liter bottle of Mexican wine = \frac{\textup{101}}{\textup{0.8}}\times0.051 dollars

also,

1 gallon = 3.78541 Liter

Thus,

half gallon = \frac{\textup{3.78541}}{\textup{2}}  = 1.892705 Liters

therefore,

cost of half gallon jug =  \frac{\textup{101}}{\textup{0.8}}\times0.051\times1.892705 dollars

or

cost of half gallon jug of wine = $12.18

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A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single
Goryan [66]

Answer:

#3) 72; #4) 40,320; #5) 90.

Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P(10,2) = 10!/(10-2)!=10!/8!=90.

P.S I had the same question once.

7 0
1 year ago
Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar comple
Xelga [282]

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in

for every

4-2=6-4=8-6=10-8=2\ in of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be y=ax+b. Then

0.4=2a+b,\\ \\0.8=4a+b.

Subtract these two equations:

2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.

Hence,

b=0.4-2\cdot 0.2=0.

The equation of the straight line (the graph of linear function) is y=0.2x. (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).

9 0
2 years ago
Read 2 more answers
100 POINTS AND BRAINLIYEST!!!
Helga [31]

See explanations below

Step-by-step explanation:

Chanel

(i) 90° counterclockwise and then dilation by a factor of 1/2

Trapezoid PQRS is given as :

P(6,-4) -------P'(4,6)

Q(2,-2)------Q'(2,2)

R(2,-6)-------R'(6,2)

S(6,-6)-------S'(6,6)

The transformation switches the position of (x,y) to and adds a -ve sign to the original y value

B. The new coordinates are : P'(4,6), Q'(2,2),R'(6,2) and S'(6,6)

The  rule for rotation 90° counterclockwise about the origin is (x,y)⇒(-y,x)

The rule for dilation with scale factor of 1/2 is (x,y)------(1/2x,1/2y)

P'(4,6) -----P''(2,3)

Q'(2,2)-----Q''(1,1)

R'(6,2)-----R''(3,1)

S'( 6,6)-----S''(3,3)

The dilation reduces the coordinates by 1/2

Preston

E. (i)Reflection over x-axis where the rule is : (x,y)----(x,-y)

(ii)Dilation by scale factor of 1/2 the rule is : (x,y)---(1/2x, 1/2y)

Applying reflection over x-axis rule;

P(6,-4) -----P'(6,4)

Q(2,-2)-----Q'(2,2)

R(2,-6)------R'(2,6)

S(6,-6)------S'(6,6)

The coordinates have changed in that a negative sign is added to the y-axis coordinate.

F. P'(6,4), Q'(2,2), R'(2,6) and S'(6,6)

G. Applying the dilation by scale factor of 1/2

P'(6,4)-------P''(3,2)

Q'(2,2)------Q''(1,1)

R'(2,6)------R''(1,3)

S'(6,6)------S''(3,3)

The coordinates of P'Q'R'S are divide by 2 to give coordinates of P''Q''R''S''

Comparing the answers to the final figure given

K(3,2)

L(1,1)

M(1,3)

N(3,3)

Preston is correct because his sequence proves trapezoid PQRS is similar to trapezoid KLMN.

Learn More

Reflection and dilation :brainly.com/question/13408902

Keywords :trapezoid, maps, rotate, counterclockwise, dilate,reflect,scale factor,shape, coordinate

#LearnwithBrainly

4 0
1 year ago
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Which inequality represents this sentence?
olga_2 [115]
6 + 2 < 9 + 3...u r correct
5 0
1 year ago
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Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $
Annette [7]

Let C be the amount of compost

T be the amount of  topsoil

Each compost cost = $25

Cost of C compost = 25C

Each topsoil cost = $15

Cost of T topsoil = 15T

Amount of compost + amount of topsoil = 10

C + T = 10 -------> Equation 1

cost of C compost + cost of T topsoil = 180

25C + 15T = 180 --------> equation 2

Solve  the first equation for C

C + T = 10

C = 10 - T

Now plug it in second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

250 - 25T + 15T = 180 (combine like terms)

250 - 10 T = 180 (Subtract 250 on both sides)

-10T = 180 - 250

-10T = -70 ( divide by -10 on both sides)

T = 7

She purchased  7 cubic yards of topsoil .


4 0
2 years ago
Read 2 more answers
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