What is the missing number in the following sequence?78, 66, ____, 42, 30

a. 51
b. 53
c. 54
d. 55

Answers

Answer 1

Answer:

Final answer:

The missing number in the sequence is 54.

Explanation:

The missing number in the sequence is 54.

To identify the missing number, we need to observe the pattern in the sequence. The sequence decreases by 12 each time. Starting from 78, we subtract 12 to get 66, then subtract 12 again to get 54, and so on. Therefore, the missing number is 54.

Learn more about Finding the missing number in a sequence

Related Questions

Luis is doing his math homework. He has 30 problems in all. After an hour, he only has 1/6 of those problems left. How many problems does he have left?
Help Me! I don't understand this problem!
In ΔWXY, the measure of ∠Y=90°, XW = 25, YX = 24, and WY = 7. What is the value of the cosine of ∠W to the nearest hundredth?
When Steve woke up his temperature was 102 degrees. Two hours later it was 3 degrees lower. What was his temperature then?
Joe and Susan are both 40 years old and hope to have enough money saved to retire by the time they're 65. They deposit $6,000 eachyear into an account that pays 4% interest compounded annually. Use this information to complete the table.Formula to UseAccount Balance in 20 yearsTotal Interest Earnedpresent value of an annuityfuture value of a lump sumfuture value of an annuity$99,875$112,253$149,875$249,875$286,363

How do I solve this problem. 7a+2=3a+1

Answers

Answer:

- 1/4

Step-by-step explanation:

7a + 2 = 3a + 1

subtract the 1 from both sides

7a + 1 = 3a

subtract 7a from both sides

1 = - 4a

divide by - 4

A = - 1/4

Answer:

a= - 1/4

Step-by-step explanation:

Give the values of A, B, and C needed to write the equation's general form.(5 + x)(5 - x) = 7

1. A = 1; B = 0; C = -18
2. A= -1; B = 0; C = 25
3. A = 25; B = 0; C = -1

Answers

Given:

The equation is:

$(5+x)(5-x)=7$

To find:

The value of A, B and C for the equation's general form.

Solution:

We have,

$(5+x)(5-x)=7$

Using distribution property, we get

$(5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7$

$25-5x+5x-x^2=7$

$25-x^2=7$

Taking all terms on one side, we get

$25-x^2-7=0$

$-x^2+18=0$

$-(x^2-18)=0$

$x^2-18=0$

On comparing this equation with the general form of a quadratic equation $Ax^2+Bx+C=0$ , we get

$A=1$

$B=0$

$C=-18$

Therefore, the correct option is 1.

Edwin raps for 10 minutes on Monday. On Tuesday he raps for anhour. Find out how many minutes he has practiced so far this week.

Answers

Answer:1 hour and 10 mins

Step-by-step explanation: on Monday he raps for 10

Tuesday he raps for 1 hour

1 h +10m =1 h and 10 min

The floor of a shed given on the right has an area of 44 square feet . The floor is in the shape of a rectangle whose length is 3 less than twice the width. Find the length and width of the floor of the shed.

Answers

Answer:

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Step-by-step explanation:

Given that the shape of the shed is a rectangle, the expression for the area is:

$A = w \cdot l$

Where $w$ and $l$ are the width and length of the shed, measured in feet. In addition, the statement shows that $l = 2\cdot w - 3\,ft$ . Then, the equation of area is expanded by replacing length:

$A = w\cdot (2\cdot w - 3)$

$A = 2\cdot w^(2) - 3\cdot w$

If $A = 44\,ft^(2)$ , then, a second-order polynomial is formed:

$2\cdot w^(2)-3\cdot w - 44 = 0$

The roots of this equation are found via General Equation for Second-Order Polynomials:

$w_(1) = (11)/(2)\,ft$ and $w_(2) = -4\,ft$

Only the first roots is a physically reasonable solution. Then, the length of the shed is:

$l = 2\cdot \left((11)/(2)\,ft \right)-3\,ft$

$l = 8\,ft$

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Simplify each equation 3(5x2+2x-4)-x7x2+2x-3)

Answers

Answer: -7x3 + 13x2 + 9x - 12

Answer:

3(5x2+2x-4)-x7x2+2x-3)

15 x 6 + 6x -12 - x7 + x2 + 2x -3

90 + 6x - 12 - x7 + x2 + 2x -3

(6x + 2x) (+90 - 12 - 3) (-x7 + x2)

8x + 75 - x5

When designing and writting questions for a survey , which of the following are issues that you need to pay attention to?A. Wording of questions
B. Order of questions
C. Sensitive questions
D. All of the above