Simplify each expression by distributing and combining like terms
6(x + 1) – 5(x + 2)

Answer:

The rate of employed per 1000 women is 754

Step-by-step explanation:

Given

Employed = 16,359,000

Unemployed = 5,309,000

Required

Rate per 1000 women of employed

In this case, Rate is calculated by dividing employed by total women

i.e.

[tex]Rate = \frac{Employed}{Employed + Unemployed}[/tex]

[tex]Rate = \frac{16359000}{16359000 + 5309000}[/tex]

[tex]Rate = \frac{16359000}{21668000}[/tex]

Represent the denominator as a factor of 1000

[tex]Rate = \frac{16359000}{21668 * 1000}[/tex]

Divide

[tex]Rate = \frac{754.288086}{1000}[/tex]

Approximate

[tex]Rate = \frac{754}{1000}[/tex]

Hence, the rate of employed per 1000 women is 754

Answer/Step-by-step explanation:

Given:

m<2 = 98,

m<3 = 23,

m<8 = 70

m<1 + m<2 = 180° (linear pair)

m<1 + 98 = 180 (substitution)

m<1 = 180 - 98 (subtracting 98 from each side of the equation)

m<1 = 82°

m<2 + m<3 + m<7 = 180° (sum of angles in a triangle)

121 + m<7 = 180 (substitution)

m<7 = 180 - 121 (subtracting 121 from each side)

m<7 = 59°

m<4 = m<7 (alternate angles are congruent)

Therefore,

m<4 = 59°

m<5 + m<4 + m<3 = 180° (angles on a straight line)

m<5 + 59 + 23 = 180 (substitution)

m<5 + 82 = 180

m<5 = 180 - 82 (subtracting 82 from each side)

m<5 = 98°

m<6 + m<7 + m<8 = 180° (angles on a straight line)

m<6 + 59 + 70 = 180 (subtitution)

m<6 + 129 = 180

m<6 = 180 - 129 (subtracting 129 from each side)

m<6 = 51°

m<9 + m<8 + m<4 = 180° (sum of triangle)

m<9 + 70 + 59 = 180 (substitution)

m<9 + 129 = 180

m<9 = 180 - 129

m<9 = 51°

m<10 + m<9 = 180° (linear pair)

m<10 + 51 = 180° (substitution)

m<10 = 180 - 51

m<10 = 129°

Answer:

See Below

Step-by-step explanation:

angle BAK = 128

Find KAS

180 - 128 = 52

KAS = 52

find BKA and ABK

360 -128 = 232

232/2 = 116

BKA =116

ABK = 116

find AKS

180 - 116 = 64

AKS =64

Now you have KAS and AKS

add together and subtract sum from 360 to find BSK

52 + 64 = 116

360 - 116 =244

Let me know if incorrect, plz.

Hope this helps=)

Answer:

4

Step-by-step explanation:

[tex]3\frac{2}{7}-(-\frac{5}{7} )\\\\=3\frac{2}{7}+\frac{5}{7}\\\\=3+\frac{2}{7}+\frac{5}{7}\\\\=3+\frac{2+5}{7}\\\\=3+\frac{7}{7}\\\\=3+1\\\\=4[/tex]

Answer:

The equality is false because one side is positive and the other side negative.

Step-by-step explanation:

5(4)+7        

Multiply the numbers 4 and 5

20

20+7

add the numbers 20 and 7

27[tex]\neq[/tex]-3

so the number 4 is not the solution

Answer:

6%

Step-by-step explanation:

:0

Answer:

25%

Step-by-step explanation:

i did a quiz on this the right answer is 25%

Answer:

y=$24x+$42 A

y=$28x×$25 B

The required equations of Lycan buying clay from company A and company B are

A  : y = 24x + 42

B  : y = 28x + 25

What is an expression?

Expression in mathematic is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.  

Mr. Lycan is considering buying clay from two art supply companies

and here, it is given that Company A sells x= 50-pound containers of clay for $24, plus $42 to ship the total order which can be written in linear equation as :

y = 24x + 42

and Company B sells the same clay (x= 50 pound )for $28, plus $25 to ship the total order which can be written in linear equation as :

y = 28x + 25

Therefore, the required equations of Lycan buying clay from company A and company B are

A  : y = 24x + 42

B  : y = 28x + 25

check and know more about equation of line here :

https://brainly.com/question/21511618

#SPJ2

Answer:

-2x^2-6x-15

Step-by-step explanation:

1 mile * 5280 ft * 12 in = 63360 in

There are 63360 inches in one mile

Answer:

63360

Step-by-step explanation:

5280 × 12 = 63360

The answer is 50. I have the same question and it makes no sense. The r= and the d= are supposed to have answers, but I’m not sure how you get them

Answer:

33420

Step-by-step explanation:

PEMDAS

parenthesis first

then multiplication

so a negative(-) times a negative(-15) is a positive. SO it becomes positive 15 times 2228 and equals 33420

Answer:

$79.20 savings.

Answer:

B

Step-by-step explanation:

x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2

find y values for x values and check:

1^2=1,     pair 1:(1,1); 3(1)-2=3-2=1, same pair

2^2=4, pair 2:(2,4);  3(2)-2=6-2=4, same pair

pairs: (1,1);(2,4)

Answer:

D) 21,14

Step-by-step explanation:

Answer:

y = -10x + 82

Step-by-step explanation:

Plug in the slope and point into y = mx + b to solve for b:

y = mx + b

2 = -10(8) + b

2 = -80 + b

82 = b

Then, plug b and the slope into y = mx + b

y = -10x + 82 is the equation in point slope form.

Answer:

[tex]45[/tex] degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Thus, [tex]x+3x=180[/tex]

[tex]4x=180[/tex]

Divide both sides by 4:

[tex]\frac{4x}{x} =\frac{180}{4}[/tex]

[tex]x=45[/tex]

Answer:

The answer is 3

Step-by-step explanation:

100,000 times 3 equal 300,000.

hope this helps you :)

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Answer:

2

Step-by-step explanation:

To find the slope of the graphed line, you take two points. I have chosen (0, 4) and (8, 0)

The formula of a slope is (y value of second point [tex]-y[/tex] value of first point) divided by (x value of second point [tex]-x[/tex] value of first point):

[tex]\frac{0-4}{8-0} =-\frac{1}{2}[/tex]

------------------------------------------------------------------------

The slope for a perpendicular line is 2.

Answer:

3,6,9,12,etc

Step-by-step explanation:

In math, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, we say that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that b/a is an integer. 

It should be (2, -9). When rotating 180° you always make the x and y the opposite, so you take the opposite of -2 and the opposite of 9 to get (-2, 9). Hope this helps!

Answer:

the first one

Step-by-step explanation:

the two planes intersect at line YZ, where they meet

tip: planes intersects at a line, just like how lines intersect at a point

hope this helps :)

Answer:

5

Step-by-step explanation:

26 × 10 ÷ 100 = 52 · x ÷ 100

260 = 52 · x

x = 5

Answer:

The common factor is (3x+1).

Answer:

- 10x

Step-by-step explanation:

Step 1:

-2x - 8x

Answer:

- 10x

Hope This Helps :)

Answer:

y = 8

Step-by-step explanation:

Step 1: Write equation

3 - 5y = -37

Step 2: Subtract 3 on both sides

-5y = -40

Step 3: Divide both sides by -5

y = 8

Answer:

7 number ans is b because 2 times the sum of a and b means 2×(a+b)

Answer:

5.) Associative Property of Addition

6.)Commutative property of multiplication

7.) 2 ( a + b)

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

If the conditional statement was if you have a dog then you have a pet, that would be the biconditional statement. The conditional is true but since not both parts of the biconditional are true, it is false.