The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?
Question 2 options:

16

40

46

52

Answers

Answer 1

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.


Related Questions

Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =

Answers

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

What is -56 = - 8z because I don’t even know the answer

Answers

Answer:

z=7

Step-by-step explanation:

7 times (-8)=-56

hope this helps:)

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Plz show work, NEED HELP FAST PLZ

Answers

Answer:

5. 4        6. 6

Step-by-step explanation:

Number 5

[tex]10-2\sqrt{9}[/tex]

[tex]2\sqrt{9}=6[/tex]

[tex]=10-6[/tex]

Subtract the numbers: 10 - 6 = 4

[tex]=4[/tex]

Number 6

[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]

[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]

[tex]=70-64[/tex]

Subtract the numbers: 70 - 64 = 6

[tex]=6[/tex]

Please please i need help i will mark u brill

Answers

[tex] \bf\green{7.8 \times c + 3.4 = 19} \\ \\ \bf\red{7.8 \times 2 + 3.4 = 19} \\ \\ \blue{\bf{15.6 + 3.4 = 19}} \\ \\ \bf \red{\boxed{ \underline{\underline{\pink{ 19 = 19}}}}}[/tex]

Haha, very easy... :)

help! the measure of XY = 140 find the measure of angle 0

Answers

Answer:

it's 140 ÷ 2 = 70

bcz the XY is a Inscribed angle

Which of the following is equal to the expression listed below?

70+30

A.(10x7)(10x3)
B.10+(7x3)
C.(10+7)(10+3)
D.10(7+3)

Answers

I’m pretty sure the answer is D

red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5 or 9, you win $6. If the sum is 6, 7, or 12, you win $2. If the sum is any other value (2, 3, 4, 8, 10, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X

Answers

Answer:

The expected value of X is $0.2222.

Step-by-step explanation:

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

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] possible outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3);

Sum of 12: (6,6)

Probabilities:

4 + 4 = 8 outcomes with a sum of 5 or 9.

8/36 = 2/9 probability of a sum of 5 or 9.

12 outcomes with a sum of 6, 7 or 12.

12/36 = 1/3 probability of the sum being 6, 7 or 12.

36 - 20 = 16 outcomes in which the sum is any other value. So

16/36 = 4/9 probability of a sum of any other value.

What is the expected value of X?

2/9 probability of earning $6.

1/3 = 3/9 probability of earning $2.

4/9 probability of losing $4.

Multiplying each outcome by its probability, we find the expected value. So

[tex]E = \frac{2}{9}*6 + \frac{3}{9}*2 - \frac{4}{9}*4 = \frac{12 + 6 - 16}{9} = \frac{2}{9} = 0.2222[/tex]

The expected value of X is $0.2222.

3.5.2 Test (CSI) Question 6 of 12 Use the area of the rectangle to find the area of the triangle. 5 ft 10 ft O A. The area of the triangle is 25 square feet, because the area of the rectangle is 50 square feet O B. The area of the triangle is 25 square feet, because the area of the rectangle is 25 square feet C. The area of the triangle is 50 square feet, because the area of the rectangle is 50 square feet. D. The area of the triangle is 50 square feet, because the area of the rectangle is 100 square feet. SUBMIT PREVIOUS e 99+ Type here to search​

Answers

Answer:

c

Step-by-step explanation:

In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day

Answers

Answer:

The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:

= 1.

 

Step-by-step explanation:

a) Data and Calculations:

                                                Endoscopies      EP Studies    Total

Projected number of studies         60                      5              65

Time in minutes for per study         5                     15

Total time required (in minutes) 300                     75           375

Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.

b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1.  The FTE has 450 minutes available for the additional procedures.  She will only require 375 minutes.  Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.

Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.

WILL MARK BRAINLEST!!!

Answers

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

Please Help!!!!!!
I need the answer ASAP!

Answers

Bro use Socratic that will help you.

Plz help me well mark brainliest if you are correct!!

Answers

6. There are 30 minutes in half a hour. 30 divided by 5 = 6
There are 6 segments of 5 minutes

What is the area of this trapezoid?

A.264 units2
B. 204 units2
C. 174 units2
D.234 units2

Answers

Option : D

Hope it helps you!

D.234 units2 hope this helps

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.

The prism is filled with cubes that have edge lengths of 12 in.



How many cubes are needed to fill the rectangular prism?

Answers

Answer:

432

Step-by-step explanation:

Answer: 4032

Step-by-step explanation: 9x4x112 is 4032

i took the test and pls give brainiest

What is the outlier for 437,456,513,650,893,954,1018,1038,1117, and 1465

Answers

1465 is the answer :-)

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

$230.04

Step-by-step explanation:

216 * 0.065= 230.04

no links help me

Parents are raising money for new playground equipment. They need $682.56 to purchase swings and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swings? Your answer should start with the $ and should only include numbers and a decimal point. *

Answers

Answer:

$53.57

Step-by-step explanation:

First, you have to subtract 200 from 628.56 to get 428.46

Then, you do 428.46/2 = 53.57, which is your answer

Hope this helps!

Answer:  $482.56                                                                                                                                          

                                                                                                                                             Step-by-step explanation:     $682.56 - 200 of the donations = 482.56

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

Z = 80 degrees and X = 8 degrees

Step-by-step explanation:

The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.

I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)

We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!

Hope this helped!

Evaluate x^4 • x^-2 when x = 5

Answers

Answer:

x^4 • x^-2 = x^6

Step-by-step explanation:

6q + 8 = -9 - 76

a. 12
b. -12
c. 84
d. -84​

Answers

Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation

Step-by-step explanation:

6q+8=-9-76

6q+8=-85               Subtract 8 from both sides

6q=-93                   Divide both sides by 6

q=-15.5

"They kept on talking and kept on ooohing and aahing and Grandma Sands kept on interrupting breakfast..." (p 166) is an example of... *
5 points
personification
allusion
metaphor
onomatopoeia

Answers

Onomatopoeia: Imitate the sounds they describe.

How many tenths and how many hundreds are represented in 65/100?

(by the way this is about decimals)

What is the decimal form for 65/100?

Please explain the answers

Answers

Answer:

There are 60 tenths and 5 hundreths

the decimal form is 0.65

Step-by-step explanation:

Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?

Answers

Answer:

18 OZ is better$1.75 to buy

The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews totaling 12 grams.

A) How many calories do you consume

B) How many cashews are in one serving?

(PLEASE HELP)

Answers

Answer:

A) I consumed 69 calories.

B)  There are 21 cashews in one serving.

Step-by-step explanation:

Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:

A)

28 = 161

12 = X

12 x 161/28 = X

1932/28 = X

69 = X

So, I consumed 69 calories.

B)

12 = 9

28 = X

28 x 9/12 = X

252/12 = X

21 = X

Therefore, there are 21 cashews in one serving.

Classify each equation as L Q or E

Answers

Answer:

Step-by-step explanation:

Type of equations,

Linear equations:

Equations in the form of y = mx + b

Quadratic equations:

Equation with a maximum degree = 2

y = ax² + bx + c

Exponential equations:

Any function or equation having exponent,

y = a(b)ˣ

a). f(x) = 3x + 2

    Linear function.

b). y = 5ˣ

    Exponential equation.

c). f(x) = 2

   Linear equation

d). f(x) = 4(2)ˣ + 1

   Exponential function

e). [tex]y=7(0.25)^x[/tex]

   Exponential function

f). y = 4x² + 2x - 1

  Quadratic function

Please help me! Please! I am so lost! Pythagorean Theorem!

(The prism said to have an equilateral triangle base has the measurements shown)

Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.

Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?

Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?

Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?

Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?

Answers

Answer:

Part A- yes, because all 3 sides are Equal (each side is 5)

Part B- yes, each rectangle has the dimensions 12*5

Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90

Part D-  [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]

Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]

the area would be [tex]48\sqrt{2}[/tex]

Step-by-step explanation:

7a+5a^2+6a^0-3a^2-4a

Answers

3a +2a^2+6
Notes that a^0=1

Ron wants to save $5,000 in 5 years. Can he do this by having $100 deposited into a payroll savings plan each month? Explain. use a calculator if you like.

Answers

Answer:

Yes.

Step-by-step explanation:

Yes because 100 times the 12 months in a year equals $1,200 and $1,200 times 5 is $6,000 and $6,000 is greater than $5,000, so yes.

If the measure lf 2 is 83, what is the measure of 3?

Answers

Answer: 97

Step-by-step explanation:

2 and 3 form a supplementary angel, so the sum of the angles should equal 180

Which of the following is a factor of the polynomial 2x^2 -
3x - 5?

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

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