All categories

3 years ago

3x + 10 = 5(x – 17) how do i solve this? any easy examples?

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

Answer:

x= 95/2 or x=47.5 or 47 1/2

Step-by-step explanation:

3x + 10 = 5(x - 17)

First Step:

multiply and combine the right side (parentheses)

5 times x = 5x 5 times -17 = -85

3x + 10 = 5x -85

Second Step:

Add like terms ----> which is: 3x and 5x -----10 and -85

BUT since you only want one x on one side, you combine x first.

3x + 10 = 5x -85

-5x -5x

-2x + 10 = -85

NOW

Third Step: Add the integers---> 10 and -85

you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.

which brings you:

-2x + 10 = -85

-10 -10

NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.

so now we have:

-2x = -95

Step Four:

divide -2 from each side to get X alone

-2x = -95

-2 -2

ANSWER:

x=47.5

You might be interested in

72 ፥ 3² x 2² + 36 ፥ 9 =

masha68 [24]

Answer:

the answer is 25 squared

7 0

3 years ago

What is the greatest common factor of 8x and 40y? 5 5xy 320 320xy

Gnesinka [82]

Answer:

Step-by-step explanation:

It's none of those. It is 8, because 8 is a factor of 40 ( and of 8 of course).

6 0

4 years ago

Read 2 more answers

Write the ratio of the first measurement to the second measurement.

vovikov84 [41]

Length of a tennis racket: 2 ft 4 in. 10. height of a table tennis net: 6 in.
1:6

length of a table tennis paddle: 10 in. height of a tennis net: 3 ft
10:17

diameter of a table tennis ball: 40 mm 12. length of a tennis court: 26 yd
26 : 3

diameter of a tennis ball: 6.8 cm length of a table tennis table: 9 ft
274:9

4 0

3 years ago

Plz solve this question Its too much urgent

Sergeu [11.5K]

Standard form of the polynomial is $x^{7}-2 x^{6}-3 x^{5}+x^{2}+\sqrt{2} x+4$ .

Degree of the polynomial is 7.

Solution:

Given polynomial:

$x^{7}-3 x^{5}+\sqrt{2} x+x^{2}-2 x^{6}+4$

To write this polynomial in standard form:

$x^{7}-3 x^{5}+\sqrt{2} x+x^{2}-2 x^{6}+4$

Standard form of the polynomial is writing x from highest power to lowest power.

Therefore, standard form of the polynomial is

$x^{7}-2 x^{6}-3 x^{5}+x^{2}+\sqrt{2} x+4$

Degree of the polynomial:

The highest power of x in the polynomial is the degree of the polynomial.

Here, the highest power is 7.

Hence the degree of the polynomial is 7.

3 0

3 years ago

A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 mm and standard deviation 0.08

marta [7]

Answer:

(a) The proportion of the diameters are less than 25.0 mm is 0.1056.

(b) The 10th percentile of the diameters is 24.99 mm.

(d) The proportion of the ball bearings meeting the specification is 0.8881.

Step-by-step explanation:

Let X = diameters of ball bearings.

The random variable X is normally distributed with mean, μ = 25.1 mm and standard deviation, σ = 0.08 mm.

To compute the probability of a Normally distributed random variable we need to first convert the raw scores to z-scores as follows:

z = (X - μ) ÷ σ

(a)

Compute the probability of X < 25.0 mm as follows:

P (X < 25.0) = P ((X - μ)/σ < (25.0-25.1)/0.08)

= P (Z < -1.25)

= 1 - P (Z < 1.25)

= 1 - 0.8944

= 0.1056

*Use a z-table for the probability.

Thus, the proportion of the diameters are less than 25.0 mm is 0.1056.

(b)

The 10th percentile implies that, P (X < x) = 0.10.

Compute the 10th percentile of the diameters as follows:

P (X < x) = 0.10

P ((X - μ)/σ < (x-25.1)/0.08) = 0.10

P (Z < z) = 0.10

z = -1.282

The value of x is:

z = (x - 25.1)/0.08

-1.282 = (x - 25.1)/0.08

x = 25.1 - (1.282 × 0.08)

= 24.99744

≈ 24.99

Thus, the 10th percentile of the diameters is 24.99 mm.

(c)

Compute the value of P (X < 25.2) as follows:

P (X < 25.2) = P ((X - μ)/σ < (25.2-25.1)/0.08)

= P (Z < 1.25)

= 0.8944

≈ 0.84

*Use a z-table for the probability.

Thus, the ball bearing that has a diameter of 25.2 mm is at the 84th percentile.

(d)

Compute the value of P (25.0 < X < 25.3) as follows:

P (25.0 < X < 25.3) = P ((25.0-25.1)/0.08 < (X - μ)/σ < (25.3-25.1)/0.08)

= P (-1.25 < Z < 2.50)

= P (Z < 2.50) - P (Z < -1.25)

= 0.99379 - 0.10565

= 0.88814

≈ 0.8881

*Use a z-table for the probability.

Thus, the proportion of the ball bearings meeting the specification is 0.8881.

4 0

3 years ago