In the problem below, put the steps in order to solve 5(x+1)=2(x-2).

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

[tex]Point=\left(\dfrac{6(5)+5(-6)}{6+5},\dfrac{6(8)+5(-3)}{6+5}\right)[/tex]

[tex]Point=\left(\dfrac{30-30}{11},\dfrac{48-15}{11}\right)[/tex]

[tex]Point=\left(\dfrac{0}{11},\dfrac{33}{11}\right)[/tex]

[tex]Point=\left(0,3\right)[/tex]

Therefore, the coordinates of the required point are (0,3).

Answer:

15/9

Step-by-step explanation:

2/9+7/9+6/9

2×1, 7×1,6×1

2/9,7/9,6/9=15/9

If u want u can devide it

Answer:

5.7 is greater

Step-by-step explanation:

hope this helps

Answer: 5.7

Step-by-step explanation:

Answer:

z^8

Step-by-step explanation:

Answer:

f=7/5x+27/5

Step-by-step explanation:

you just have to divide both sides by -5

Answer:

18

Step-by-step explanation:

-22-7(-5)-5

-22+45-5

-22+40

18

Answer:

(a) Base 7

(b) Base 5

Step-by-step explanation:

(a) 42/3 = 13 testing base 7 we have:

4x7¹ + 2x7° = 28 + 2 = 30

3x7° = 3

1x7¹ + 3x7° = 7 + 3 = 10

30/3 = 10. Therefore, 42/3 = 13 is in base 7.

(b) 23 + 44 + 14 + 32 = 223. Testing base 5 we have:

2x5¹ + 3x5° = 10 + 3 = 13

4x5¹ + 4x5° = 20 + 4 = 24

1x5¹ + 4x5° = 5 + 4 = 9

3x5¹ + 2x5° = 15 + 2 = 17

2x5² + 2x5¹ + 3x5° = 50 + 10 + 3 = 63

13+24+9+17 = 63.

Therefore, it was done in base 5.

Answer:

Y axis is correct :))

Step-by-step explanation:

Answer:

8.75

Step-by-step explanation:

12f=3.50

30f=3.50/12*30

3.50/12*30= 8.75

8.75 is the amount for 30 folders.

Answer:

a) 0.11 =  11% probability that the car needs work on either the engine, the transmission, or both.

b) 0.9 = 90% probability that the car needs no work on the engine.

Step-by-step explanation:

P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .

This means that:

Only engine: 0.1 - 0.01 = 0.09

Only transmission: 0.02 - 0.01 = 0.01

Both engine and transmission: 0.01

(a) Find the probability that the car needs work on either the engine, the transmission, or both.

0.09 + 0.01 + 0.01 = 0.11

0.11 =  11% probability that the car needs work on either the engine, the transmission, or both.

(b) Find the probability that the car needs no work on the engine.

Probability of needing work on engine:

0.09 + 0.01 = 0.1

Not needing:

1 - 0.1 = 0.9

0.9 = 90% probability that the car needs no work on the engine.

Answer:

30 is 60% of 50.

Step-by-step explanation:

30 ÷ 60% = 50

Answer:

9 bags.

Step-by-step explanation:

If you find the area of the garden ( 15 times 12) and divide the area by 20 (the size of one bag) you get 9 bags.

Answer:Kevin will need 9 bags

Step-by-step explanation:

15 x 12

=180

180 by 20

= 9

Answer:n>10

Step-by-step explanation:b

Answer:

A

Step-by-step explanation:

Domain of r<3: (-∞,3)

Domain of r>-2: (-2,+∞)

(-∞,3)U(-2,+∞)=(-∞,+∞) = ℝ

Answer:

738

Step-by-step explanation:

Start by multiplying..

23 x 33 = 759

Next subtract..

759 - 21 = 738

Answer:

215 units

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

obtuse means having an angle greater than 90 and isosceles means that two of the side will be congruent and thats exactly what b is showing

Answer:

1st from the left

Step-by-step explanation:

Answer:First one from the left

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

write all numerator above the common denominator

2-1 over 4

subtract the numbers

and you will get 1/4

answer:

1/4

Step-by-step explanation:

[tex] \frac{2}{4} - \frac{1}{4} [/tex]

[tex] \frac{2 - 1}{4} [/tex]

[tex] \frac{1}{4} [/tex]

it's the answer:)

The process of solving a proportion is given below.

We are given that;

To show the process of solving a proportion

Now,

A proportion is an equation that states that two ratios are equal. For example, if we have 2 4 = 3 6[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , then we have a proportion.

To solve a proportion, we need to find the value of a missing term that makes the equation true. There are different methods to solve a proportion, but one common method is cross-multiplication. Here are the steps to solve a proportion by cross-multiplication:

Multiply the numerator of one ratio by the denominator of the other ratio.

For example, if we have 2 4 = x 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 2 by 6 and get 12.

Multiply the denominator of the first ratio by the numerator of the second ratio.

For example, if we have 2 4 = x 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 4 by x and get 4x.

Set the two products equal to each other. For example,

if we have [tex]2 4 = x 6 {\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex], then we set 12 = 4x.

Solve for the missing term. For example, if we have 12 = 4x, then we divide both sides by 4 and get x = 3.

Check your answer by plugging it back into the original proportion.

For example, if we have x = 3, then we plug it back into 2 4 = x 6 [tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] and get 2 4 = 3 6

[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , which is true.

Therefore, by proportion answer will be given below.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ4

Answer:

received a refun

Step-by-step explanation:

They will need to get refund based on the information given because I don't see any data to work with here

Answer:

12

you can chose to belive me or not

The length of the base of a right triangle with an area of 24 square meters and a height of 4 meters is 12 meters.

The correct option is C.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

An area of the right triangle = 24 square meters.

Height = 4 meters.

Then,

An area of the right triangle = 24 square meters.

1/2 x base x height = 24

1/2 x base x 4 = 24

Base = 12 meters.

Therefore, the base is 12 meters.

To learn more about the right-angled triangle;

brainly.com/question/3772264

#SPJ6

Answer:

Step-by-step explanation:

[tex]F=Ir^t,\text{ where F=final amount, I=initial amount, r=rate of change, t=time}\\ \\ F=58350(1.02)^4\\ \\ F=\$ 63159.92[/tex]

Answer:

200 slices

28.125 bottles and if you need to round it is 28

Step-by-step explanation:

ojala te sirva

es niño o niña?: La abuela de un bebe que esta por nacer asegura que el futuro bebé será una niña y no un niño, la abuela se basa en los antojos de la madre, la forma del estómago de la madre y otras características que ella ha podido observar durante el embarazo.

te comparto imagenes ok

this is tough, if you explain the question better I can help!

Answer:

Step-by-step explanation:

Answer:

The solution is 9