Multi-Step Linear Equations LC)

Solve −7x− 7 = −3x + 9 for x.
A: x = −4
B: x = −3
C: x = 3
D: x = 4

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Answer:

The table is 12 feet in length

Step-by-step explanation:

2 * 6 = 12

12 feet in length

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle is given as:

Perimeter = 2 (length + width)

The area of the table is 24 square feet.

The perimeter of the table is 28 feet.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle is given as:

Perimeter = 2 (length + width)

We have,

Table:

Width = 2 feet

Length = 6 x 2 feet = 12 feet

We will assume that the table is a rectangle.

The area of the table:

= Length x width

= 12 x 2

= 24 square feet.

The perimeter of the table:

= 2 (length + width)

= 2 (12 + 2)

= 2 x 14

= 28 feet

Thus,

The area of the table is 24 square feet.

The perimeter of the table is 28 feet.

Learn more about rectangles here:

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Answer:

the height of the parallelogram would be 18 inches.

Answer :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

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Answer: Common Multiples

Step-by-step explanation:

Answer:

Step-by-step explanation:

There's no list but one answer would be sin O = 1.

Answer:

Option B. 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60 °

Opposite (Fe) = 4√3

Adjacent (DE) = x

The value of x can be obtained by using the Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = 4√3 / x

√3 = 4√3 / x

Cross multiply

√3 × x = 4√3

Divide both side by √3

x = 4√3 /√3

x = 4

Thus, the length of DE is 4

the picture is completely blank

Answer:

80

Step-by-step explanation:

12 is 15% of 80.

80 movies does the streaming service offer.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A movie-streaming service offers 12 children's movies.

This is 15% of the total number of movies offered.

let the total number of movies offered be x.

So, 15% of x= 12

15/100 x = 12

x= 1200/15

x= 80

Thus, there were total 80 movies.

Learn more about Algebra here:

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Answer:

The answer of the question is 0.64

Answer:

0.64 is a decimal and 64/100 or 64% is the percentage for 16/25.

Step-by-step explanation:

It will take you to how you do it scan on phone

Answer: Triangle is 28 and the  Parallelogram is 50

Step-by-step explanation:

For the triangle 8×7=56 and then we divide it by 2 so,

56÷2=28

And, for the parallelogram it would be  50 because 5×10 is 50.

Answer:

1/5(x+3)

Step-by-step explanation:

That is, assuming the number=x

Answer:

m=52

Step-by-step explanation:

ABC and FBE are congruent and we know that ABC is 52

90-38=52

so FBE is also 52

Hope this helps ^-^

Answer:

P = 37 units

Step-by-step explanation:

Answer:

pemdas!!

p=( ), [, ]

e= exponts

m and d= multiplaction and division

a and s = add and subtract

now 3x(3+12/3)-4

= 3x(3+4)/4

= 3x(7)/4

= 3x7/4

= 21-4

= 17

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \times (3 + 12 \div 3) - 4 \\ \\ = 3 \times (3 + 4) - 4 \\ \\ = 3 \times 7 - 4 \\ \\ = 21 - 4 \\ \\ = 17[/tex]

Answer: 86

Step-by-step explanation:

14 times 6 = 86

Answer:

$36,050

Step-by-step explanation:

If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?

3% can also be turned in 3 divided by 100, I will be using that in my explanation.

3 divided by 100 : 0.03

you then multiply 0.03 by 3500 and you will get 105.

3% of the $3,500 is $105

$3,500 plus $105 is $3,605

You then have to multiply that answer by 10(years)

$3,605 times 10 is $36,050

the answer is d. y=30x+15

Answer:

THE SECOND BULLET

Step-by-step explanation:

Answer:

3n and n

Step-by-step explanation:

like terms are similar terms

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A. 29.1020

Step-by-step explanation:

Rewrite it:

29°6'6"

29° + 6(1/60)° + 6(1/3600)°

Simplify:

29° + 0.1° + 0.002°

= 29.102

So, the correct answer is A, 29.1020

Answer:

a = -4

Step-by-step explanation:

[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]

[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]

[tex] -2a - 2 = a + 10 [/tex]

[tex] -3a = 12 [/tex]

[tex] a = -4 [/tex]

Answer:

What you need to do is to solve. 2 = -7/4 + 1/4 x

You can try to have same denominator in all numbers to be able to multiply the right and left side by it and remove it

We can write it like this:

8/4 = -7/4 + 1/4  x

We multiply by four the two sides  and get

8 = -7 + x

We can sum 7 to both sides

8 + 7 = x

x= 15

We can replace to see if it's correct

-7/4 + 1/4 * 15 = -7/4 + 15/4 = 8/4

Answer:

I am good!

Step-by-step explanation:

Have a fantastic day!

Answer:

good

Step-by-step explanation:

Answer:

I believe D

It's sheds video games in a good light!

Hope that helps!

Answer:

yeah d seems to be the most likly

Step-by-step explanation:

Answer:

-6xy-18x

Step-by-step explanation:

To solve -2x(3y+9), multiply -2x by 3y and 9.

Solve

Answer:

-24 i think

Step-by-step explanation:

Answer:

Given below

Step-by-step explanation:

a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.

b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.

Area of 1 box = 3*3.5= 10.5

c)  The area of the outer rectangle = 8*12= 96 square units.

The area between the two rectangles along the breadth = 3*7= 21 of one side.

The area between the two  sides along the length = 6*1= 6 square units.

Subtracting 21+21+6+6= 54  from 96 gives  42 square units

d)  Area= length *breadth

           = 6* 7= 42 square units.

Hence by all four methods the total area remains the same.

Answer:

1) B

Step-by-step explanation:

To get the volume of a cube, you multiply the length, width and height together. 4 x 7 x 8 = 224. 8 × 5 × 6 = 240. This means that chocolate box B has the larger volume.