The missing number in the arithmetic sequence 60,51 blank , 33 is

Answers

Answer 1

Subtract 9 from each number to get the next number.
60 - 9 = 51
51 - 9 = 42
42 - 9 = 33

The number is 42.

Hope this helps =)

Answer 2

60-51=9
51-9=42
42-9=33
MISSING NUMBER IS 42

Related Questions

Jane and Ron have combined annual gross earnings of $31,850. What is the
maximum amount they should consider spending for the purchase of a
house?
a. $79,625
b. $53,000
c. $31,850
d. $63,700

ANSWER ASAP WITH EXPLANATION

Answers

The answer is D. $63,700

A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.

What is the volume of the sand pile?

Use 3.14 for pi.

Enter your answer as a decimal

Answers

v=pi*(r )upper 2 * h
v= 3.14 (9*9 ) * 10
=847.8

The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].

What is volume?

Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.

How to determine volume?

It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be

Volume=1/3π[tex]r^{2} h[/tex]

Radius=diameter/2

=18/2

=9 feet

Volume=1/3*3.14*[tex]9^{2}[/tex]*10

=1/3*3.14*81*10

=254.34/3

=847.8 [tex]feet^{3}[/tex]

Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].

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Please help asap!!! 13 points!

Answers

The answer would be D

-3x + 9y = 18 substitute 0 for the y and x

-3(0) +9y = 18 = 9y = 18 = 18 ÷ 9 = 2 = y intercept

-3x + 9(0) = 18 = -3x = 18 = 18 ÷ -3 = -6 = x intercept

the answer would be D

A bakery receives an order for 1600 cookies if 12 cookies are packed in each bag how many bags are needed

Answers

134 bags.

You get this by dividing the 1600 by 12 and rounding up.

134 bags are needed to pack all the cookies.

To solve this problem, you need to divide the total number of cookies by the number of cookies that fit in each bag.

Start with the total number of cookies:

1600 cookies.

Each bag can hold 12 cookies:

1 bag= 12 cookies

Divide the total number of cookies by the number of cookies per bag:

1600 ÷ 12.

Using division:

1600 ÷ 12

= 133.33.

Since you can't have a partial bag, you need to round up to the next whole number.

So, you will need 134 bags to pack all the cookies.

You roll an fair number cube. The six possible outcomes when rolling are one, two, three, four, five, six. What are the favorable outcomes when rolling an odd number?

1, 3, 5

2, 4, 6

1, 2, 3, 4, 5, 6

1, 2, 3

Answers

The favorable outcomes are the outcomes we want (aka the outcomes we favor or like). Think of it as a gambling game. If the goal is to roll an odd number, then we need to roll a 1, a 3 or a 5. We don't want 2, 4 or 6 as those are even.

The answer is choice A) 1, 3, 5

Where is tge vertex of the graph of y=-x^2

Answers

[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\ -------------------------------\\\\ y=-x^2\implies y=-1(x-\stackrel{h}{0})^2+\stackrel{k}{0}[/tex]

Which of the following problem types CANNOT be solved using the law of sines?

**Choose ALL that apply!!!***

A. SAA

B. SSS

C. AAA

D. SAS

E. ASA

**I'm confused :( can you please explain? thank you :)

Answers

Law of sines in a triangle with angles A, B, C and sides a,b,c states that
(sin A)/a =(sinB)/b = (sinC)/c
To use the above ratios, you need at least one angle and one side and one of either an angle or a side. So SSS and AAA don't work

Answer:

B) SSS C AAA D) SAS

Step-by-step explanation:

The sine rule is used when we are given

a) Two angles and one side (SAA)

b) Two angles and included side (ASA)

Sine rule can not be used in SSS,AAA or SAS.

Among the given options sine rule can not be used in cases B) SSS C AAA D) SAS

Line VW is to be drawn on the graph such that it is perpendicular to line . If the coordinates of point W are (–1, y), what is the value of y?

Y=

Answers

The value of y is 3.

Since the lines are to be perpendicular, that means that their slopes must be negative reciprocals of each other.

First we find the slope of line ST. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting our coordinates (using point T as point 2 and point S as point 1), we have:
[tex]m=\frac{2-0}{5--5}=\frac{2-0}{5+5}=\frac{2}{10}=\frac{1}{5}[/tex]

Since the slope of line VW must be the negative reciprocal of 1/5, it would be -5/1=-5.

The coordinates of V are (-2, 0). Using V as point 1 and W as point 2, in our slope formula for this line we have:
[tex]-5=\frac{-2-y}{0--1}=\frac{-2-y}{0+1}=\frac{-2-y}{1}=-2-y \\ \\-5=-2-y[/tex]

Add 2 to both sides:
-5+2=-2-y+2
-3=-y

Divide both sides by -1:
-3/-1=-y/-1
3=y

The value of y is 3

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]\large {\boxed {y - y_1 = m ( x - x_1 )} }[/tex]

Let us tackle the problem.

Firstly , we will calculate the gradient of the line that passes through the point S( -5 , 0 ) and T( 5 , 2 ) .

[tex]m_{ST} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m_{ST} = \frac{2 - 0}{5 - (-5)}[/tex]

[tex]m_{ST} = \frac{2}{10}[/tex]

[tex]\large {\boxed {m_{ST} = \frac{1}{5} } }[/tex]

Next , we will calculate the gradient of the line that passes through the point V( 0 , -2 ) and W( -1 , y ) .

[tex]m_{VW} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m_{VW} = \frac{y - (-2)}{-1 - 0}[/tex]

[tex]\large {\boxed {m_{VW} = \frac{y + 2}{-1} } }[/tex]

The conditions of the line perpendicular to each other will satisfy the following formula.

[tex]m_{ST} \times m_{VW} = -1[/tex]

[tex]\frac{1}{5} \times \frac{y + 2}{-1} = -1[/tex]

[tex]\frac{y + 2}{-5} = -1[/tex]

[tex]y + 2 = -5 \times -1[/tex]

[tex]y + 2 = 5[/tex]

[tex]y = 5 - 2[/tex]

[tex]\large {\boxed {y = 3} }[/tex]

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Which rational number is one-half of the way between 2 and 6.5: 2.25, 4.25, 4.5, or 4.75? And please explain.,

Answers

The rational number halfway between 2 and 6.5 is 4.25. This number can be found by looking at the difference between 6.5 and 2, which is 4.5. Then dividing the resulting number, 4.5 in half which gives us 2.25, and then adding half to difference, 2.25, to 2.

To find the midpoint of 2 numbers:
1. Add up the 2 numbers
2. Divide the number by 2

Midpoint of 2 and 6.5:
1) 2 + 6.5 = 8.5
2) 8.5 ÷ 2 = 4.25

Ans: The midpoint of 2 and 6.5 is 4.25

The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4
What are the possible dimensions of the classroom? Use Factoring.
A.(5x - 4) and (2x + 1)
B.(5x - 4) and (2x - 1)
C.(5x + 4) and (2x - 1)
D.(5x + 4) and (2x + 1)

Answers

Answer: C is the correct factored form of the equation.

To solve this, you can factor the polynomial by grouping. There are numerous ways to do this.

If you are given a multiple choice question like this, you can use the FOIL method to test the answers until you get the correct one.

Choice C with the FOIL method.

(5x + 4)(2x - 1)
10x^2 - 5x + 8x - 4
10x^2 +3x - 4

It is correct!

In 2000 the population of a city was 588292 people. in 2002 the population of the city increased to 599656, what is the population in 2008

Answers

The population in 2008 is 635,082. This is true given that we follow the 1.93% increase in population every two years. The rate was derived from the increase of 588,292 (year 2000) to 599,656 (year 2002). The computation is:

((599,656 - 588,292) / 588,292) * 100 = 1.93%

Applying the rate every two years, here's what get:

2000: 588,292
2002: 599,656
2004: 611,240
2006: 623,047
2008: 635,082

WILL GIVE BRAINLIEST ANSWER

PLEASE HELP WITH 9 & 10

Answers

something that i would do is see how many times bigger the other shape is like for number 9 i would do 28/4 which is 7 times larger then you do 56/7 and get 8.

then for 10 i did 49 divided by 7 which is 7 times larger so then you do 28/7 to get 4 so that is your answer for 10 4.

9:8
10:4

what is the image of n for a 144° counterclockwise rotation about the center of the regular pentagon

A. A
B. E
C. P
D. T

Answers

I believe the answer would be C. P
144 is two fifths of 360 so for a pentagon, it would cause the point to shift two places

Answer:

The correct option is C. The image of N for a 144° counterclockwise rotation about the center is P.

Step-by-step explanation:

The number of vertices of a regular pentagon is 5.

The central angle between two consecutive vertices is

[tex]\frac{360}{5}=72[/tex]

It means the central angle between two consecutive vertices is 72 degrees.

We have to find the image of N for a 144° counterclockwise rotation about the center.

If pentagon rotates 72 degree counterclockwise rotation about the center, then the image of N is E.

If pentagon rotates (72+72) degree counterclockwise rotation about the center, then the image of N is P.

The image of N for a 144° counterclockwise rotation about the center is P.

Therefore the correct option is C.

What is the sum of the geometric series rounded to the nearest whole number?

A.4
B.0
C.2
D.3

Answers

Answer:

Option A. [tex]4[/tex]

Step-by-step explanation:

we know that

The sum of a geometric series is equal to

[tex]Sum=a(\frac{1-r^{n}}{1-r})[/tex]

where

a is the first term

r is the common ratio

n is the number of terms

In this problem we have

[tex]a=2,r=0.5,n=16[/tex]

substitute the values

[tex]Sum=2(\frac{1-0.5^{16}}{1-0.5})=4[/tex]

A builder has 7200kg of sand.
A) write 7200 in grams
B) Give our answer in standard form,

Answers

7200kg in grams is 7200 x 1000= 7200000g, since 1 kilogram equals 1000 grams. This is also 7.2 x 10^6, which is found by moving the decimal point six places to the left and indicating it as multiplied by that many powers of ten.

Please help 17 points!!!

Answers

√10 * √8 =
√(10 * 8) =
√80

Hello, the answer of suspho is correct but here is another procediment:

You prime factor 10 and 8... 10 = 2*5 and 8 = 2³

√2*5 * √2³

Let's take 2³ out of the square root. The radicand has a bigger exponent than the index (2) but you can't divide 2 by 3 so we write √2² * 2 and we can finally take out only 2²

√2*5 * 2√2 and multiply all the radicands.

2√20 and prime factor 20... 20 = 2²*5 and take 2² out

2√2² * 5 = 2*2√5 = 4√5

Answer B

FUNCTIONS! HELP! Math!

Answers

The answer is choice D
As the x values go to negative infinity, the function's values go to positive infinity

Put another way, as x gets larger in the negative direction, y gets larger in the positive direction. Imagine there is a point on the blue curve that is free to move around as long as it stays on the blue curve the entire time. If you slide this point to the left, then it will eventually head upward infinitely as you move along the left-most branch.

which law would you use to simplify the expression (x^4)^9?

Answers

The answer is a power to a power because then you can find the way to simplify the expression.

Hope this helps, byeee :)

The law that will be used to simplify the expression is the law of exponents.

What are Exponents?

Exponents are the powers of the base numbers.

The law of exponents will be used to simplify the expression (x⁴)⁹

According to the law of exponents,

(aⁿ )ˣ = [tex]\rm a^{xn}[/tex]

So,

(x⁴)⁹ = x³⁶

Therefore, the law that will be used to simplify the expression is the law of exponents.

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Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.

Answers

3x - 4 <= 2
3x <= 6
x <= 2

2x+ 11 >= -1
2x >= -11
x >= -5.5

Solution is -5.5 =< x <= 2 .

In interval notation that is [-5.5, 2]

Answer:

[All reals]............

Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8

cup of sprinkles, how many sundaes can they serve?

Answers

if They have 7 cups of sprinkles then you would need 1/8 of a cup for each Sundae, you would have to multiply 8 by 7 to find your answer.

Answer: Matt's Ice Cream Shoppe can serve 56 Sundaes

Hope this helps
| |
U

The number of sundaes they can serve with 7 cups of sprinkles is 56.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day.

Number of sundaes = Total quantity of sprinkles/Number of cups of sprinkles in each serving

= 7÷ 1/8

= 7×8

= 56

Therefore, the number of sundaes they can serve with 7 cups of sprinkles is 56.

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ALGEBRA 2 FOR JIMTHOMPSON!

Answers

Problem 1

(a) Let x be the variable. The variable will stand for the number of additional minutes used (in addition to the minutes built into the default plan). For example, if x = 10, then Allegra used 10 additional minutes on top of what her plan allows. If x = 0, then Allegra simply pays the $65 without any extra charge.

(b) The equation is 0.10x+65 = 73.40; the 65 represents the fixed cost of 65 dollars per month regardless of how many additional minutes you use. Then you add on 0.10x on top of that to get the total 0.10x+65, which is set equal to 73.40 as this is the given bill for this particular month.

(c) Solve the equation from part (b) to get...
0.10x+65 = 73.40
0.10x+65-65 = 73.40-65
0.10x = 8.40
0.10x/0.10 = 8.40/0.10
x = 84

(d) Allegra used 84 additional minutes as this is the solution to the equation mentioned in part (b) and solved in part (c). To check the answer, simply replace x with that value
0.10x+65 = 73.40
0.10x*84+65 = 73.40
8.4+65 = 73.40
73.40 = 73.40
The answer checks out

====================================

Problem 2

P = principal (amount deposited)
i = interest only
r = interest rate in decimal form
t = time in years

We are given the following:
i = 2800
r = 0.04 (decimal version of 4%)
t = 3.5
and we want to solve for P

i = P*r*t
2800 = P*0.04*3.5
2800 = P*0.14
2800 = 0.14P
2800/0.14 = 0.14P/0.14
20000 = P
P = 20000

Andrea should deposit $20,000 into the account (to earn $2,800 after 3.5 years; where the interest rate is 4%)

====================================

Problem 3

|4x-8| - 3x = 6x+2
|4x-8| - 3x+3x = 6x+2+3x
|4x-8| = 9x+2
4x-8 = 9x+2 or 4x-8 = -(9x+2)
4x-8 = 9x+2 or 4x-8 = -9x-2
9x-4x = -8-2 or 9x+4x = -2+8
5x = -10 or 13x = 6
x = -10/5 or x = 6/13
x = -2 or x = 6/13

The two possible solutions are:
x = -2 or x = 6/13

However, x = -2 does not work since
|4x-8| - 3x = 6x+2
|4(-2)-8| - 3(-2) = 6(-2)+2
|-8-8| + 6 = -12+2
|-16| + 6 = -10
16 + 6 = -10
22 = -10
which is false

Luckily, x = 6/13 does work and I'll leave that as an exercise to have you check it.

In short, the only answer is x = 6/13

Find the solution set. (x+9) (x+9) = 0

Answers

Answer:

The solution set is [tex]x=-9[/tex]

Step-by-step explanation:

we have

[tex](x+9)(x+9)=0[/tex]

we know that

[tex](x+9)(x+9)=x^{2}+18x+81[/tex]

[tex]x^{2}+18x+81=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2}+18x+81=0[/tex]

[tex]a=1\\b=18\\c=81[/tex]

substitute in the formula

[tex]x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(81)}} {2(1)}[/tex]

[tex]x=\frac{-18(+/-)\sqrt{0}} {2}[/tex]

The radicand is equal to zero, therefore, the solution has only one real solution

[tex]x=\frac{-18} {2}=-9[/tex]

1. What is the value of x? Show all of your work.

Answers

AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117

Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
[tex] \sqrt{81} = 9[/tex]
Therefore AB is 9 cms.

How can transposable elements promote functional genetic diversity in a population?

Insertion into a regulatory sequence may alter the strength of transcription.
Insertion into an intro may provide an alternative splice site, producing a protein with a new exon.
Insertion into an mRNA strand may change the amino acid sequence produced.,

Answers

Transposable elements promote functional genetic diversity in a population by insertion into an intro may provide an alternative splice site, producing a protein with a new exon. This is a way to get a genetically modified organism.

Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply.

A. Corresponding parts of similar triangles are similar.
B. Alternate interior angles are supplementary.
C. Alternate interior angles are congruent.
D. Corresponding parts of congruent triangles are congruent.,

Answers

The opposite sides of a parallelogram can be proved congruent by joining the diagonal of the parallelogram and proving the two triangles congruent by ASA .In any parallelogram opposite sides are parallel.We prove the triangles to be congruent by taking the property of parallel lines that Alternate interior angles are congruent.

When the triangles are proved congruent the opposite sides of parallelogram can be proved equal by using the property Corresponding parts of congruent triangles are congruent.,

The options which hold true to prove opposite sides of a parallelogram are congruent are options C and D.

C. Alternate interior angles are congruent.

D. Corresponding parts of congruent triangles are congruent.,

The graph shown is the graph of which function?

Answers

square root function. f(x)= square root x x> or = to 0

Answer:

The function of the graph is y = f(x) = x².

Step-by-step explanation:

From the graph we have

At x = 0, y = 0

Therefore f(x) = ax + c where c = 0

At x = 1 y = 1

At x = 4 y = 2

At x = 9 y = 3

At x = 16 y = 4

Therefore the graph is of the form, y= f(x) = x²

That is the graph can be plotted with a slope given by dy/dx = 2x an an intercept of c = 0.

Values of the graph are as follows

x y

1 1

2 √2

3 √3

4 2

5 √5

6 √6

7 √7

8 2√2

9 3.

Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.

What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?

1.95 mph

2.9 mph

3.9 mph

7.8 mph

Answers

to get the difference between the golfers we proceed as follows;
the z-score is given by:
z=(x-μ)/σ
the score for golfer with z-score of 0 will be:

μ- mean
σ- standard deviation
0=(x-95)/3.9
the value of x will be
0=x-95
x=95

the score for the golfer with z-score of -1 is:
-1=(x-95)/3.9
-3.9=x-95
x=-3.9+95
x=91.1
the difference in the score of the golfers will be:
95-91.1
=3.9
the answer is C] 3.9 mph

The velocity of a 150 kg cart changes from 6.0 m/s to 14.0 m/s. What is the magnitude of the impulse that acted on it?
(Points : 1)
900 kgm/s

1,200 kgm/s

3,000 kgm/s

2,100 kgm/s

Answers

An impulse is the change in momentum. Momentum is mass times velocity. Because the mass does not change, a change in velocity is what creates an impulse. (14.0 m/s - 6.0 m/s) = 8.0 m/s. (150 kg)x(8.0 m/s) = 1200 kgm/s.

which letter has at least one line of symmetry?
D
J
G
P
DOES ANYONE HAVE THE WHOLE QUIZ???? UNIT 4 Compositions of Isometries

Answers

D.

The letter D has a line of symmetry that runs horizontally down the middle. If you were to fold the letter D in half, you would see that the upper and lower half of the letter look the exact same.

The figure was created by repeatedly reflecting triangle NMP. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Answers

Answer:

Perimeter = 42 inches

Explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. In case of any diagram or figure, we add all the outer sides of the figure to get perimeter.

Here, outer sides are :

4, 4, 4, 4, 4, 4, 4, 6, 8

Now add all the sides together.

Permeter = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 6 + 8 = 42 inches.

Final answer is 42 inches

Answer:

42 inches

Step-by-step explanation:

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