What is the value of z in the equation 3z - 7 = 14?

Answers

Answer 1
Answer: 1st add 7 to both sides : 3z = 21, 2nd divide both sides with 3: z = 7

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What is the common difference between successive terms in the sequence?0.36, 0.26, 0.16, 0.06, –0.04, –0.14,

Answers

the common difference between successive terms

To find the common difference we subtract the first term from second term

0.36, 0.26, 0.16, 0.06, –0.04, –0.14,

0.26 - 0.36 = -0.10

0.16 - 0.26 = -0.10

0.06 - 0.16 = -0.10

-0.04 - 0.06 = -0.10

-0.14 - (-0.04) = -0.10

We can see that the common difference is =0.10

the common difference between successive terms = -0.10

The correct answer is:

-0.10.

Explanation:

The common difference between successive terms in a sequence is the number you add to each term to find the next one.

To find this number, you can subtract the first term from the second, the second from the third, and so on:

0.26-0.36 = -0.10

0.16-0.26 = -0.10

0.06-0.16 = -0.10

-0.04-0.06 = -0.10

-0.14--0.04 = -0.10

The common difference is -0.10.

Using a twenty sided number cube, what is the probability that you will roll an even number or odd prime number? the number 1 isnt an odd prime. round to three decimals. A) 0.85
B) 0.8
C) 0.9
D) 0.75

Answers

0.85 is the probability that you will roll an even number or odd prime number

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

A twenty-sided number cube has 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) and 7 odd prime numbers (3, 5, 7, 11, 13, 17, 19).

To find the probability of rolling an even number or an odd prime number

We need to calculate the total favorable outcomes (even numbers and odd prime numbers) divided by the total possible outcomes (numbers 1 to 20).

Total favorable outcomes = 10 (even numbers) + 7 (odd prime numbers) = 18

Total possible outcomes = 20

Probability = Total favorable outcomes / Total possible outcomes = 17 / 20 = 0.9

Hence, 0.85 is the probability that you will roll an even number or odd prime number

To learn more on probability click:

brainly.com/question/11234923

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Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

-6=-2+w solve the equation

Answers

Answer:

w = -4

Step-by-step explanation:

-6=-2+w\n

Switch sides

-2+w=-6

Add 2 to both sides

-2+w+2=-6+2

Simplify

w=-4

Answer:

w = -4

Step-by-step explanation:

What is the slope of the line?
A. -4
B. -1/4
C. 1/4
D. 4

Answers

Answer:

Step-by-step explanation:

The equation of a line is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept. To find the slope of the line, we need to look at the coefficient of x in the equation. In this case, the coefficient of x is 1, so the slope of the line is:

m = 1

Therefore, the slope of the line is 1.

-1/4 is the slope of the line/the answer

Alan has 80% more stamps than Billy. Billy has 3/5 of the number of Charlies stamps. If Billy gave 150 stamps to Charlie, then Charlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?

Answers

a=alan
b=billy
c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy
0.2a=c

b has 3/5 of c
b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)
luckily we can related c and b
b=3/5c
c+150=3(3/5c-150)
distribute
c+150=9/5c-450
add 450 both sides
c+600=9/5c
minus c both sides
600=4/5c
times 5/4 both sides
750=c

charlie has 750 stamps
billy=3/5 times c
b=3/5 times 750
b=450
allan has 80% more than billy
0.2a=b
0.2a=450
divide both sides by 0.2
a=2250

b=450
a=2250
c=750
add them
a+b+c=2250+450+750=3450 stamps

a=alan

b=billy

c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy

0.2a=c

b has 3/5 of c

b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)

luckily we can related c and b

b=3/5c

c+150=3(3/5c-150)

distribute

c+150=9/5c-450

add 450 both sides

c+600=9/5c

minus c both sides

600=4/5c

times 5/4 both sides

750=c

charlie has 750 stamps

billy=3/5 times c

b=3/5 times 750

b=450

allan has 80% more than billy

0.2a=b

0.2a=450

divide both sides by 0.2

a=2250

b=450

a=2250

c=750

add them

a+b+c=2250+450+750=3450 stamps

How to factorise this?!
4x-14xy

Answers

Find the highest common factor, which is 2X, therefore, this goes outside of the bracket. So inside goes 4x/2x= 2 & 14xy/2x= 7y2x(2-7y)When you multiply out of the brackets, everything should be equal
Take a factor of x out of the equation:
2x(2-7y)