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marta [7]
4 years ago
12

The sum of two consecutive even integers is 82. What is the smaller number?

Mathematics
1 answer:
nata0808 [166]4 years ago
4 0
X=40
x+2=42
x+x+2=82
2x=80
x=40
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The sum of half of a number and 8 less<br> than the number is 25. Find the number.
LuckyWell [14K]

Answer:

The number is 22

Step-by-step explanation:

let x = the number

\frac{1}{2} x  + x - 8 = 25 \\  \frac{1}{2} x + x  - 8 + 8 = 25 + 8 \\  \frac{1}{2} x + x = 33 \\ factor   \: out\: x \: on \: the \: left \\ x( \frac{1}{2}  + 1) = 33 \\ divide \: both \: sides \: by \:  \frac{1}{2}   + 1 \\  \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2}  + 1}  =  \frac{33}{ \frac{1}{2}  + 1}  \\ x =  \frac{33}{ \frac{3}{2} }  \\ x =  \frac{66}{3}  \\ x = 22

let's factor out x from the left hand sid

4 0
3 years ago
PLZ Help. I have tried so many ways. I will give Brainiest! 30 points for the correct answer! Help!
Simora [160]

Answer:

1=(w=6,C=20.80

2=(W=2,C=27.05)

3=(w=11,C=14.25)

4=(w=15,C=11.05)

Step-by-step explanation:

Just do the work

0.55x15=8.25+2.80=11.05

1.10x6=6.6+14.20=20.8

11x0.65=7.15+7.10=14.25

Out of process of elimination, 2=(W=2,C=27.05)

3 0
3 years ago
Read 2 more answers
Y - Circle
Kaylis [27]

Answer:

9cm

Step-by-step explanation:

making perpendicular "A" from center "O"

we get,OA=4cm(half of 8cm)

Now,

In triangle POA,

h^2=p^2+b^2

5^2=4^2+b^2

25=16+b^2

9=b^2

b=3cm

PA=3cm

hence,length of chords=3+3=9cm

6 0
3 years ago
Kalin walls at a streaky rate of 3 2/3 miles per hour. The beach is 4 1/4 miles from his home. How long will it take Kalin to wa
DENIUS [597]

Answer:

The time it will take Kalin will be 2h 33m

Step-by-step explanation:

First we will transform the numbers to work more comfortable

d = distance

v = velocity

v = 3 2/3 miles per hour = 3.33 mi/h

d = 4 1/4 milles = 4.25 mi

As the time it takes to go to the beach and back asks us, we have to do the distance 2 times

d = 4.25 mi * 2

d = 8.5 mi

To calculate the time it takes, we simply have to divide the distance by the velocity

t = d/v

t = 8.5 (mi) / 3.33(mi/h)

t = 2.55h

if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60

(55/100)*60 = 33

t = 2h 33m

The time it will take Kalin will be 2h 33m

6 0
3 years ago
After 5 games Adrian Peterson has rushed for 498 yards. If he gains 4.5 yards per carry, how many carries will it take for him t
Aleksandr [31]

Answer:

156 carries

Step-by-step explanation:

Given that:

5 games = 498 yards

Number of yards Gained per carry = 4.5 yards

Target number of yards = 1200

Number of yards left to reach target :

1200 - 498 = 702 yards

Number of carries required = number of yards / yards per carry

Number of carries required = 702 / 4.5

= 156 carries

8 0
3 years ago
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