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Pachacha [2.7K]
3 years ago
11

At an ice cream parlor ,ice cream cones cost $1.10 and sundaes cost $2.35 one day the receipts for a total of 172 cones and sund

aes were $294.20 . How many cones were sold ?
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

88 cones were sold.

Step-by-step explanation:

Let,

Cones = x

Sundaes = y

Cost of one cone = $1.10

Cost of one sundae = $2.35

According to given statement;

x+y=172 Eqn 1

1.10x+2.35y=294.20 Eqn 2

Multiplying\ Eqn\ 1\ by\ 1.10\\1.10x+1.10y=189.2\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(1.10x+2.35y)-(1.10x+1.10y)=294.20-189.2\\1.10x+2.35y-1.10x-1.10y=105\\1.25y=105\\Dividing\ both\ sides\ by\ 1.25\\\frac{1.25y}{1.25}=\frac{105}{1.25}\\y=84

Putting value of y in Eqn 1;

x+84=172\\x=172-84\\x=88

88 cones were sold.

Keywords: Linear equations, multiplication

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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The fastest growing plant on record is the hesperoyucca whipplei. suppose a plant of this type grows 3.6 m in 14 days. what is i
tatyana61 [14]
To get the speed of growth of plant we proceed as follows;
rate=(distance)/(time taken)
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1 m=1000000 micrometer
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8 0
3 years ago
Find the coordinates of the transformed image when the pre-image is reflected over the line x=2
zepelin [54]
A’= (10,1)
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hope this helps!
8 0
3 years ago
sutopa has 3/4 the money maneet has. maneet has $18 less than Kim. together, they have $286.40. How much money does each of them
timurjin [86]

The amount of money Kim, maneet and Sutopa have is $115.6, $97.6 and $73.2 respectively.

<h3>Equation</h3>

  • Kim = x
  • Maneet = x - 18
  • Sutopa = 3/4(x-18)
  • Total = $286.40

x + (x - 18) + 3/4(x-18) = 286.40

x + x - 18 + 3/4x - 13.5 = 286.40

2 3/4x = 286.40 + 13.5 + 18

11/4x = 317.9

x = 317.9 ÷ 11/4

= 317.9 × 4 / 11

= 1,271.6 / 11

x = $115.6

So,

Kim = x

= $115.6

Maneet = x - 18

= 115.6 -18

= $97.6

Sutopa = 3/4(x-18)

= 3/4(97.6)

= $73.2

Learn more about equation:

brainly.com/question/4344214

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8 0
2 years ago
Question is on attached photograph. ​
inysia [295]

Answer:

Here you go sorry.

Step-by-step explanation:

Question 1.

y = 4x - 8 has a slope of 4. Since parallel lines have equal slopes, the slope of your new line will also be 4.

Now, you have a point (3,9) and a slope 4. Use the Point-Slope Form for the equation of a line.

y - y1 = m(x - x1)

y - 9 = 4(x - 3)

y - 9 = 4x - 12

y = 4x - 3

Question 2.

Since it is parallel, it must have the same slope.

y = (1/2)x + b

Find b from the given point.

4 = (1/2)(2) + b

b = 3

y = (1/2)x + 3

8 0
3 years ago
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