All categories

2 years ago

The sum of 8 times a number and 10 is 34. Find the number.

Mathematics

2 answers:

makkiz [27]2 years ago

7 0

Answer: 3
Explanation: 8 * 3 = 24 + 10 = 34

Alex17521 [72]2 years ago

3 0

Answer: 3

8x+10=34

sub 10

8x=24 divide by 8

x=3

Step-by-step explanation:

You might be interested in

Amanda's gross annual salary is $62,112 what is the maximum amount of rent she can afford to pay

abruzzese [7]

Answer is 1866 dollars

7 0

3 years ago

Please help me, I will be so thankful

worty [1.4K]

Answer:

Step-by-step explanation:

g(-4) = 4 , x < -2

g(-2) = (x - 1)² ; -2≤x< 1

= (-2-1)²

= (-3)²

g(-2) = 9

g(0) = (x -1)² ; -2 ≤ x < 1

= (0 -1)²

= (-1)²

= 1

8 0

3 years ago

The height of a cylinder is equal to the diameter of the base What expression represents the volume of the cylinder, in cubic un

Sveta_85 [38]

Answer: 3 units

Step-by-step explanation:

the volume of a cone C = πr²h/3

C = 18π, h =2x, r = diameter/2 = 2x/2 =x

18π = π* x²* 2x/3

divide through by π

18 = x² * 2x/3

multiply through by 3

54 = 2x³

divide through by 2

27 = x³

x =∛27 = 3

x = 3 units = radius

4 0

3 years ago

Shannon drove 300 miles. Which expression shows the miles per gallon obtained by her car if she used g gallons of gas on the tri

Rudik [331]

Step-by-step explanation:

300 miles per gallon

$= 300 \: miles /gallon \\ = 300 \: m/g\\ = 300 \: m \: {g}^{ - 1}$

7 0

3 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago