All categories

2 years ago

Solve each equation. Show your thinking. a. 5x-10=30 b. 3x+8=21

Mathematics

2 answers:

Ksenya-84 [330]2 years ago

7 0

Add ten from both sides and then divide 40 of 5x its 8
B subtract 8 from both sides 13 divide by 3 answer is 13/3

Kay [80]2 years ago

4 0

Answer:

A) X = 8

B) X = 4.3 or 13/3

Step-by-step explanation:

A) 5x - 10 = 30

(add ten to both sides)

5x = 40

(divide by 5 on both sides)

x = 8

B) 3x + 8 = 21

(subtract 8 to both sides)

3x = 13

(divide by 3 on both sides)

x = 4.3 or 13/3

Hope this helped!

You might be interested in

I need help asap pls help me

Alchen [17]

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

$x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26$

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

4 0

2 years ago

Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b

Ronch [10]

Answer:

$4^x-5=6$ gives the solution $x=\frac{\log(11)}{\log(4)}$ .

$4^{x-5}=6$ gives the solution $x=\frac{\log(6)}{\log(4)}+5$ .

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is $4^{x}-5=6$ , then the following is the process:

$4^x-5=6$

Add 5 on both sides:

$4^x=6+5$

Simplify:

$4^x=11$

Now write an equivalent logarithm form:

$\log_4(11)=x$

$x=\log_4(11)$

Now using the change of base:

$x=\frac{\log(11)}{\log(4)}$ .

If we assume the equation is $4^{x-5}=6$ , then we use the following process:

$4^{x-5}=6$

Write an equivalent logarithm form:

$\log_4(6)=x-5$

$x-5=\log_4(6)$

Add 5 on both sides:

$x=\log_4(6)+5$

Use change of base formula:

$x=\frac{\log(6)}{\log(4)}+5$

6 0

2 years ago

. Find the probability that the coin turns up heads for the first time on the tenth, eleventh, or twelfth toss.

Degger [83]

Answer:

0.001709

Step-by-step explanation:

The probability of getting 9 tails then 1 head is:

(½)⁹ (½)¹ = (½)¹⁰

The probability of getting 10 tails then 1 head is:

(½)¹⁰ (½)¹ = (½)¹¹

The probability of getting 11 tails then 1 head is:

(½)¹¹ (½)¹ = (½)¹²

The total probability is:

(½)¹⁰ + (½)¹¹ + (½)¹²

0.001709

3 0

2 years ago

Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, eighteen of them ar

Luba_88 [7]

Answer:

Probability [Randomly choose plant Juan's mother want] = 3 / 5

Step-by-step explanation:

Given:

Total number of plant in store = 30 plants

Number of plant kind Juan's mother want = 18

Find:

Probability [Randomly choose plant Juan's mother want]

Computation:

Probability of an event = Number of favorable outcome / Total number of outcomes

Probability [Randomly choose plant Juan's mother want] = Number of plant kind Juan's mother want / Total number of plant in store

Probability [Randomly choose plant Juan's mother want] = 18 / 30

Probability [Randomly choose plant Juan's mother want] = 3 / 5

7 0

2 years ago

800 students are going on a school trip by bus.

Tema [17]

The answer is twenty four

6 0

2 years ago

Read 2 more answers