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dusya [7]
3 years ago
14

The price of 600 grams of candy and 1.5 kg of cookies is $4.62. What is the price of one kg of cookies if it is $1.4 cheaper tha

n 1 kg of candy?
Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0

Answer: $1.80

Step-by-step explanation:

600 grams - .6 kg

.6x+1.5y=4.62

y=x-1.4

.6x+1.5(x-1.4)=4.62

.6x+1.5x-2.1=4.62

2.1x=6.72

x=3.2 ( 1 KG of candy)

y=3.2-1.4

1.8=y (1 KG of cookies)

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A biker rode 45 miles in 180 minutes. At what speed (in miles per hour) was the biker travelling? A. 4 B. 17 C. 9 D. 12
Anastasy [175]

Answer:

v = 15 miles / hour

Step-by-step explanation:

Given:

Distance covered by biker = s=45 miles

time taken by him = t=180 minutes

TO Find:

speed in miles per hour = v = ?

Solution:

As it is given that the distance covered is 45 miles

and time taken by him is 180 minutes

as one hour have 60 minutes

so time taken by rider = t = 180 /60

                                          = 3 hours

this step is done because we have to find speed in miles per hour

Now

The formula for finding the distance is

distance = speed * time

or

s = v * t

we have to find v

so dividing both sides by t

\frac{s}{t} = \frac{v*t}{t}

it becomes

v = \frac{s}{t}

Putting the values

v = \frac{45}{3}

solving it gives

v = 15 miles / hour

which is the required speed

in the given options it is not available


5 0
3 years ago
Salaries of 49 college graduates who took a statistics course in college have a​ mean, x overbar​, of $ 65 comma 300. Assuming a
Molodets [167]

Answer: 60,540< \mu

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}-z^*\dfrac{\sigma}{\sqrt{n}}< \mu

, where \sigma = Population standard deviation.

n= sample size

\overline{x} = Sample mean

z* = Critical z-value .

Given :  \sigma=\$17,000

n= 49

\overline{x}= \$65,300

Two-tailed critical value for 95% confidence interval = z^*=1.960

Then, the 95% confidence interval would be :-

65,300-(1.96)\dfrac{17000}{\sqrt{49}}< \mu

=65,300-(1.96)\dfrac{17000}{7}< \mu

=65,300-4760< \mu

=60,540< \mu

Hence, the 95​% confidence interval for estimating the population mean (\mu) :

60,540< \mu

7 0
2 years ago
What is the next number in this sequence?  0.03,  0.12,  0.48,  1.92,  __________​
Marina CMI [18]

Answer:

the next number in the sequence would be 7.68

Step-by-step explanation:

you are multiplying by 4. 0.03 multiplied by 4 equals 0.12, and so on.

8 0
3 years ago
In an experiment, the one variable that is changed by the person doing the experiment is called the Question 2 options: controll
Ad libitum [116K]

Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.

5 0
3 years ago
A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

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              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

8 0
2 years ago
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