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ratelena [41]
3 years ago
5

Find two consecutive even integers such that five times the smaller integer is ten more than three times the larger integer.

Mathematics
1 answer:
quester [9]3 years ago
8 0
5n = 3(n + 2) + 10
5n = 3n + 16
12n = 16 
n = 8  

8 is smaller integer and 10 is the larger.
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Write the equation of a circle with a center at (2.5, –3.5) and a diameter of 12.
Paul [167]

Answer:

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

3 0
3 years ago
- The wait times for two different rides are
erma4kov [3.2K]

Answer:

(in a fraction format) 12/75=x/120

Step-by-step explanation:

The simplest way I can explain* is for these types of problems, all you do is make an equation like the one above and use an X as the numerator in the second equation over the denominator, which should be something like 120 in this problem. So after you find the information for the problem, which is the part where it states how much time a line of 48 people had to wait, make an equation using that information, which is 12/48. Then to finish the equation, use the 120 people in line part and make another equation that has an X as the numerator, or the number on top. It should look like this:

           12/75 = x/120

I tried sorry*

8 0
2 years ago
Identify the like terms in the list.
MrRa [10]

Answer:

17x and 3x

Step-by-step explanation:

like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

8 0
1 year ago
2. In the figure given alongside, find the values of x and y.<br><br><br>​
dimulka [17.4K]

Answer:

y=50°

x=232°

Step-by-step explanation:

cuz y+130=180

y=50

and

y+68+x=360°

50+68+x=360°

so x =232

5 0
2 years ago
Dr Adams is a botanist.she measures the daily height of a particular of sunflower is 60 days old.at 60 days,the height of the su
dexar [7]
Lets write a linear equation to represent this flower growth, lets call y the height of the flower in centimeters and x the number of days passed:
y = 205 + 2x
that means that the flower height y, will grow 2 centimeterrs each x days.
So if we have 235 cm height, we can find the amount of days needed if we replace in the equation and solve for x:
<span>y = 205 + 2x
</span>235 = 205 + 2x
2x = 235 - 205
2x = 30
x = 15
therefore the flower needs 15 days to reach 235 cm height
5 0
2 years ago
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