What is the highest common factor of 50 and 90?

Answer:

The missing terms are 9,13,21 and 25

The nth term is 4n + 5

Step-by-step explanation:

From the arrangement, we can see that 17 is the third term while 29 is the 6th term

Now is this sequence arithmetic or geometric?

Since it increases by the same amount each time, then it is an arithmetic sequence.

Mathematically the third term in an arithmetic sequence with first term a and common difference d is ;

a + 2d = 17 •••••(i)

While for the sixth term, we have

a + 5d = 29 ••••••(ii)

The equations are obtainable for the nth term of an arithmetic sequence which can be written as;

Tn = a + (n-1)d

where a is the first term, n is the term number and d is the common difference

Now solving both equations simultaneously;

We can subtract equation i from ii

Thus;

5d-2d = 29-17

3d= 12

d = 12/3 = 4

we can substitute the value of d in any of the equations to get a

let’s use 1

That would be;

a + 2d= 17

a + 2(4) = 17

a + 8 = 17

a = 17-8

a = 9

Now the first term is 9

Second would be 9 + 4 = 13

Fourth would be 3rd + d = 17 + 4 = 21

Fifth would be 4th + d = 21 + 4 = 25

So the sequence now correctly arranged would be;

9,13,17,21,25,29

where 9,13,21 and 25 are the missing terms

b. Mathematically the nth term of the sequence is

a + (n-1)d

let’s substitute the values of a and d , we have

9 +(n-1)4

9 + 4n-4

4n + 5

Answer:

8+3=w 27+72=x

Step-by-step explanation:

Answer:

y = 9x

Step-by-step explanation:

Answer:

[tex]1156.8cm^3[/tex]

Step-by-step explanation:

The volume of a cone is given as:

[tex]V =\frac{1}{3} \pi r^2h[/tex]

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

[tex]V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3[/tex]

Answer:

1157.3cm^3

Step-by-step explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th

Answer:

multiply both the x value and y value by -1

Answer:

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

Step-by-step explanation:

He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.

1 pound  = 16 ounces

1 1/8 pounds = ? ounces

cross multiply

1 1/8 × 16

9/8 × 16 = 18 ounces

Therefore,

His trail mix are

18 ounces of peanuts

12 ounces of raisins

11 ounces of walnuts

7 ounces of pretzels

The total weight = 18 + 12 + 11 + 7 = 48 ounces

Weight of the trail mix = 48 ounces

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

Answer:

i think 28cm is the answer.

Answer: 27.33 g water

Step-by-step explanation:

For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.

4000J=m(4.181J/g°C)(100-65°C)              [find change in temperature]

4000J=m(4.181J/g°C)(35°C)    [divide both sides by specific heat and change in temperature]

m=27.33 g

Answer:

111.97

Step-by-step explanation:

97+14=111

to 2dp =.97

•°•=111.97

Answer:

It would be a run of 3

Step-by-step explanation:

Answer:

The slope is 4/3, so if the rise is increased by 8, then the run must increase by 6.

Step-by-step explanation:

Answer:

Can't properly see the question mate

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

A whole line equals to 180 degrees.

180-15=165

Hope this helps plz mark brainliest!

Answer:

Beam stick out = 2.09 ft

Step-by-step explanation:

Given:

Length of wooden beam = 12 ft

Side of bed =  5.5 ft by 8 ft by 2 ft

Find:

Length of wooden beam needed.

Computation:

[tex]Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal = \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = \sqrt{98.25}\\\\Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91[/tex]

Length of wooden beam needed = 9.91 ft

Beam stick out = 12 ft - 9.91 ft

Beam stick out = 2.09 ft

Answer:

SAS

Step-by-step explanation:

Answer:

[tex] \sqrt{7} [/tex]

Step-by-step explanation:

[tex] \sqrt{(4 - ( - 3) + (0 - 0)} [/tex]

[tex] \sqrt{(4 + 3) + 0} [/tex]

[tex] \sqrt{7 + 0} [/tex]

[tex] \sqrt{7} [/tex]

Answer:

7

Step-by-step explanation:

Two points P1 (x1,y1) and P2(x2,y2)

d=SQRT((x2-x1)^2+(y2-y1)^2))

choose your points

let (-3,0) be (x1,y1)

let (4,0) be (x2,y2)

Substitute the values into the equation

SQRT((4-(-3))^2+(0-0)^2))

Simplify

SQRT(7^2+0)

Square root of 7 squared is 7 or -7, however distance cannot be negative so the answer is 7

This applies to all two points however there is a faster solution for these two points as they have the same y value meaning you could've just drawn a line between these two points on a Cartesian plane and counted 7.

Answer:

b = 14.34

Step-by-step explanation:

sin(Θ) = (Opposite/Hypotenuse)

sin(35)= (b/25)

25 x sin(35) = 14.33941091

Answer:

1/5

Step-by-step explanation:

60 /5 = 12

So there are 12 red, 12 orange, 12 yellow, 12 green, 12 purple

P(green) = green/ total = 12/60 = 1/5

Answer:

If a bag of skittles has and equal amount of red,orange,yellow,green and purple there are 60 colors and 5 colors so 60 skittles and 5 colors divided give u 12 so that means that there are 12 skittles of each color so the probability would be 12 out 60 skittles  

Step-by-step explanation:

The remainder of the equation A = 22,714 / 886 is given by R = 564

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the remainder be represented as R

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 22,714

Let the second number be q = 886

Now , A = p/q

On simplifying , we get

A = 22,714 / 886

886 x 25 = 22150

So , the difference between 22714 - 22150 = 564

Therefore , the value of R is 564

Hence , the remainder is 564

To learn more about equations click :

https://brainly.com/question/19297665

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Answer: The correct answer would be $17,109.

Step-by-step explanation:

The reasoning behind this answer is quite simple and easy to approach.

The suggested retail price is the base price for the vehicle and any other prices presented in the problem would be in addition to the base price.

So, with this information, we know that the base price is $15,250 and that the additional options would be $359 + $800 + $210 + $490.

Therefore, after completing the math for the additional options and adding them to the base price, you will receive the final cost of $17,109.

Answer:

1) 20 Students    2) 5 Students 3) 11 Students

Step-by-step explanation:

1) Count how many numbers are there (not digits)

2) Count the number of 3's and 4's found

3) Count the number of times a number equal to or greater than 6 appears in the data range.

Answer:

14

Step-by-step explana:

Let the required number be x

Therefore, according to the given condition:

10 - 2x = - 18

10 + 18 = 2x

28 = 2x

x = 28/2

x = 14

Hence, the required number is 14.

Answer:

ishaan is 21

chris is 7

Step-by-step explanation:

Subs 3C from (1) for I in(2):

3C = C + 14   —>  C = 7,  I = 21

Answer:

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

Step-by-step explanation:

We are given the points (-2,0) and (0,2).

Slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-0}{0-(-2)}=\frac{2}{2} = 1[/tex]

The slope is one.

So far we have [tex]y=x+b[/tex].

We can use a point to find 'b', the y-intercept.

I will use (0,2):

[tex]2=0+b\\2-0=0-0+b\leftarrow \text {Subtraction Property of Equality} \\\boxed {2=b}[/tex]

The y-intercept is 2.

The equation of the line is [tex]y=x+2[/tex].

In slope equations, the 'one' is commonly hidden.

Answer:

y = x + 2

Step-by-step explanation:

Answer:

[tex]y\leq -3[/tex]

Step-by-step explanation:

[tex]3y+2 \geq 5y+8 \\\\3y\geq 5y+6\\\\-2y\geq 6\\\\y\leq -3[/tex]

Hope this helps!

Answer:

-3 ≥y

Step-by-step explanation:

3y + 2 ≥ 5y +8

Subtract 3y from each side

3y-3y + 2 ≥ 5y-3y +8

2 ≥ 2y +8

Subtract 8 from each side

2-8 ≥ 2y +8-8

-6 ≥ 2y

Divide by 2 on each side

-6/2 ≥ 2y/2

-3 ≥y

Answer: 5 and 7

Step-by-step explanation:

(x)*(x+2)-10=(x)^2

x^(2)+2x-10=x^2

x^(2)+2x=x^2+10

2x=10

x=5

x+2=5+2=7

Answer:

  -4

Step-by-step explanation:

No quotient is defined when the denominator is zero. Here, the denominator will be zero for x = -4.

The value -4 does not make sense for x in this quotient.

Answer:

1056

Step-by-step explanation:

The computation of the area of the rectangle is shown below;

But for that first we have to compute the area of square which is

As we see in the diagram that there are 9 square sides

i.e 1,4,7,8,9,10,14,15 & 18

And, as we know that

Area of Square  is

[tex]= Side^2[/tex]

[tex]1^2 = 1[/tex]

[tex]4^2 = 16[/tex]

[tex]7^2 = 49[/tex]

[tex]8^2 = 64[/tex]

[tex]9^2 = 81[/tex]

[tex]10^2 =100[/tex]

[tex]14^2 = 196[/tex]

[tex]15^2 = 225[/tex]

[tex]18^2 = 324[/tex]

So, the Total Area is

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056

Area of rectangle = 1056  

So, it can come from

[tex]1056 = 33 \times 32[/tex]

As the area of rectangle is

[tex]= length \times width[/tex]

Answer:

1.  It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

2. The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

5. The conclusion is: it is a trapezoid.

Step-by-step explanation:

→The answer would be the first because it can be written as a statement like this. The statement is also proven to be true.

→The answer would be the second because it is a hypothesis statement. It is using the information of a "quadrilateral," and "one pair of parallel opposite sides," to form an answer/conclusion.

→The answer would be the last/fifth because the conclusion of the statement is that the unknown shape is actually a trapezoid, based on the information that has been provided to us.

Here is the complete question.

Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?

Answer:

it cost  $42 to completely fill the box with hay

Step-by-step explanation:

Given that :

The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;

We all know it would assume the shape of a rectangular prism and it's volume = L  × W × H

Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³

However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;

So , if 1 cubic meter = $14;

three cubic meters = $14 × 3  = $42

Hence;  it cost  $42 to completely fill the box with hay

Answer:

A

Step-by-step explanation:

You can check to see if it is A is you do A = Bh

The base in this question is 6 while the height is 2. To vcheck area you can multiply these to get 12 units squared. To check the perimeter, you can draw a picture. Label each side, you know that there are going to be two 2's and 2 6's so you can add those for the perimeter:

2 + 2 + 6 +6 = 16 units for the perimeter

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

Given:

Flavors of ice cream are vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip.

Number of scoops can be 1, 2 or 3.

To find: probability of someone choosing cookies 'n cream ice cream with 2 scoops

Solution:

Probability refers to chances of occurrence of some event. Two events A and B are said to be independent if probability of one event does not depend on the probability of the other event.

For such events,

P(A and B)= P(A)×P(B)

Probability = number of favourable outcomes/Total number of outcomes

In the given question, cookies 'n cream ice cream with 2 scoops can be in a cone or a cup.

Therefore,

probability of someone choosing cookies 'n cream ice cream with 2 scoops =( probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cup )+ (probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cone )

= [tex]\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )+\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )[/tex]

=[tex]=\frac{1}{36}+\frac{1}{36}\\=\frac{2}{36}\\=\frac{1}{18}[/tex]