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tino4ka555 [31]
3 years ago
7

The sum of four consecutive integers is 74. What is the first integer?

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

17

Step-by-step explanation:

Let x, x +1, x + 2, x + 3 be four consecutive integers.

\therefore \: x + x +1 +  x + 2 +  x + 3 = 74 \\  \therefore \: 4x + 6 = 74 \\  \therefore \: 4x = 74 - 6 \\  \therefore \: 4x = 68 \\  \therefore \: x =  \frac{68}{4}  \\  \huge \red{ \boxed{x = 17}}

Hence, first integer is 17.

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what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form
Aneli [31]

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

3 0
3 years ago
HELP 2 GEOMETRY questions
LuckyWell [14K]

Answer:

72

Step-by-step explanation:

i thinkkkk im on this unit too in geometry

3 0
2 years ago
In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. A
suter [353]

Answer:

a. [6.6350,7.3950]

b. ME=0.5150

Step-by-step explanation:

a. Given that n=40, \bar x=6.88 and that:z_{\alpha/2}=z_{0.05}=1.645

The required 90% confidence interval can be calculated as:

\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]

Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]

b. The margin of error at 90% confidence interval is calculated as:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=(1.645\times \frac{1.98}{\sqrt{40}})\\\\=0.5150

Hence, the margin of error is 0.5150

8 0
3 years ago
A student has some​ $1 and​ $5 bills in his wallet. he has a total of 1919 bills that are worth ​$5959. how many of each type of
uysha [10]
X = ones, y = fives

x + y = 19....x = 19 - y
x + 5y = 59

19 - y + 5y = 59
19 + 4y = 59
4y = 59 - 19
4y = 40
y = 40/4
y = 10 <=== there are 10 five dollar bills

x + y = 19
x + 10 = 19
x = 19 - 10
x = 9 <=== there are 9 one dollar bills
4 0
3 years ago
Tammy says the quotient of 793 ÷ 6 is 132 r1.<br><br> Use multiplication to check Tammy's answer.
hichkok12 [17]

To check to see if Tammy is correct, multiply her answer and 6.

132x6=

792.

132 is the correct answer, and Tammy is correct.

6 0
3 years ago
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