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Vedmedyk [2.9K]
3 years ago
7

When the smaller of two consecutive integers is added to four times the​ larger, the result is 59. find the integers?

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0
The integers are 11 and 12. 

Explanation:
You can represent the smaller integer as "x" and the larger integer as "x+1". The whole equation would be 
x+4(x+1)=59
. 
Then you solve the equation:
x+4x+4=59
5x+4=59
5x=55
x=11
That's how one finds the smaller integer. Now plug that "x" value into "x+1" to get 12 as the larger integer. 
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Give an example of a rule for a pattern.List a set of numbers that fit the pattern
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45,39,33,27 it keeps subtracting 6
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3 years ago
During a sale at the market, steaks sold for $4 and watermelon sold for $3.50. Luca spent $22 and bought a total of 6 steaks and
sesenic [268]

Answer:

Luca bought 2 steaks and 4 watermelons.

Step-by-step explanation:

During the sale, steaks sold for $4 and watermelon sold for $3.50.

Let the number of steaks Luca bought be represented as x and the number of watermelons Luca bought be represented as y.

Luca spent $22 in total.

That means that the number of steaks that Luca bought multiplied by the price of each steaks plus the number of watermelons that Luca bought multiplied by the price of each watermelon will give $22.

In other words:

(4 * x) + (3.5 * y) = 22__________________(1)

Luca bought a total of 6 steaks and watermelons. This means that:

x + y = 6____________________________(2)

We have two simultaneous equations.

4x + 3.5y = 22 ___________(1)

x + y = 6 _______________(2)

From (2):

x = 6 - y

Putting this back in (1):

4(6 - y) + 3.5y = 22

24 - 4y + 3.5y = 22

24 - 0.5y = 22

=> 24 - 22 = 0.5y

2 = 0.5y

=> y = 2/0.5 = 4

Hence:

x = 6 - 4 = 2

Luca bought 2 steaks and 4 watermelons.

7 0
3 years ago
The radius of a circle is 2 feet. What is the circle's area?
Akimi4 [234]

Answer: 12.57

Step-by-step explanation:

3 0
3 years ago
the function p(t)p(t)p, left parenthesis, t, right parenthesis models the average high temperature, in degrees celsius, of paity
Mnenie [13.5K]

The solution set for the last equation represents the set of all days when the towns have the same average high temperature.

  • The hotness of matter or radiation is expressed by the physical quantity known as temperature. The average air temperature for a specific time period, often a day, a month, or a year, as measured by a thermometer that has been properly exposed.
  • P(t) is the average high temperature, in degrees Celsius, of Paityn's town on t days.

       \begin{aligned} P(t)&=22.5+7.5\cos\left(\dfrac{2\pi (t-28)}{365}\right)\\\\  \end{aligned}

  • V(t) is the average high temperature, in degrees Celsius, of Vince's town on t days.

        \\ V(t)&=30.5+1.5\cos\left(\dfrac{2\pi (t-90)}{365}\right)

  • So, P(t) = V(t) represents the set of all the days when both towns have the same average high temperature.

To learn more about temperature, visit :

brainly.com/question/15267055

#SPJ4

5 0
1 year ago
21
ehidna [41]
35:28=8:X
X=28•8/35
X=224/35
X=6.4
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