Solve the equation using the Properties of Equality.

Answer:

See below.

Step-by-step explanation:

For 3, we have:

1, 3, 6, ___, 15, 21, _____, 36, _______

Let's try to determine the pattern. From 1 to 3, we added 2.

From 3 to 6, we added 3.

So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:

6+4=10

10+5=15.

So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:

1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45

For 4, we have:

100, _____, 64, ______, 36, 25, _______

Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:

10², _____, 8², ______, 6², 5², ______

Therefore, our blanks would be:

10², 9², 8², 7², 6², 5², 4².

Evaluated, this woul be:

100, 81, 64, 49, 36, 25, 16.

And we're done!

Answer:C (-2, 1)

Step-by-step explanation:

Answer:the correct answer is b

Step-by-step explanation:

Answer:

OC) modern bank

Step-by-step explanation:

OC) modern bank

There is no such type of bank.

Answer:

Option B is the correct answer.

Step-by-step explanation:

[tex]0. \overline{79} + \pi[/tex]

Here [tex] 0.\overline{79}[/tex] is a rational number and [tex] \pi[/tex] is an irrational number whose sum gives irrational number.

Answer:

Te answer  would be to tenth of PIE so 0.79 would be ruled out

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

C) C = [360 - 148(2)] divide 2

= 32 degrees

Explanation: 148 and C is an opposite angle so the angles oppose to it has the same value

D) h = 76

Explanation: opposite angles

I = 76

Explanation: transverse angles

j = [360 - 76x2] divide 2

= 104 degrees

Explanation: same as C

Hope this helps!

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles  + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

Total marbles = 12

The probability of 2 yellow marble:

[tex]= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}[/tex]

Thus, the probability of selecting both yellow is 5/22.

Area = length x width.

Divide the two total areas by the width to find the lengths:

760/16 = 47.5

1000/16 = 62.5

The interval is:

47.5<= x <= 6.5

The interval for the length of x that you will cover before you need to buy more roof coating will be 47.5 ≤ x ≤ 6.5.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.The space occupied by any two-dimensional figure in a plane is called the area.

Given that you have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet.

The formula to calculate the area of the

Area = length x width.

Divide the two total areas by the width to find the lengths:

760/16 = 47.5

1000/16 = 62.5

The interval is:

47.5 ≤ x ≤ 6.5

Therefore, the interval will be 47.5 ≤ x ≤ 6.5.

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The ratio of liters to gallons in simplest form is 5 : 19.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, 1 gallon is around 3.8 liters.

So, The ratio of liters to gallons in a : b form is 1 : 3.8

Or, 10 : 38,

Or 5 : 19.

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Answer:

19

Step-by-step explanation:

All you have to do is add 14 to 5 to find out x-5=14

Answer:

Step-by-step explanation:

10 lol

Answer:

-24 - 57i

Step-by-step explanation:

i'm assuming that this is a question about imaginary numbers and that i²= -1

we can expand the binomial by using the FOIL method (see attached)

(6 − 7i)(3 − 6i)

= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)

=18 - 36i - 21i + 42i²   (recall that i²= -1)

= 18 - 57i + 42(-1)

= 18 - 57i - 42

= -24 - 57i

Answer:

x=20

Step-by-step explanation:

sum of all the sides is equal to 180degrees

group like terms

solve the question

Answer:

(-4, -1)

Step-by-step explanation:

Multiply both coordinates by 1/3 which is the same as dividing by 3.

Answer: (-4, -1)

Answer:

f(g(4) = -11

Step-by-step explanation:

Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.

Output from first function: g(x) = [tex]x^{2} + x[/tex]

g(4) will be evaluated by substitution 4 for x in the above equation.

this will give us [tex]g(x)=4^{2}+4 =20[/tex]

Output from the composite function f(g(4)

The next stage is to input our results from the function g(4) into the function

f(x) = 9 - x. The output from g(4) which is 20, will now become our input.

[tex]f(x)-9-(20)= -11[/tex]

Therefore f(g(4) = -11

Answer:

The perimeter is a distance so all length units apply

● millimeters

● meters

● centimeters

Answer:

2√21

Step-by-step explanation:

[tex]\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}[/tex]

Answer:

Step-by-step explanation:

7(a + 2b) + x(a + 2b)

(7 + x)(a + 2b)

Answer:

(7 + x)(a + 2b) This is most simplified it can be

Answer:

9

Step-by-step explanation:

we have

[tex]|\frac{27}{-3}|\\\\=|-9|[/tex]

and absolute value of -9 is 9

so answer is 9

Answer:

120 degrees

Step-by-step explanation:

Regular hexagon means all the sides are equal

(6-2)(180)=The sum of interior angles of hexagon

=>720 degree

Therefore each angle=720/number of sides

=720/6=120 degree

So let the marked angle in figure be 'x'

And the adjacent equal angles to x, y

So y+y+x=360 [Angle around point=360]

2y+x=360 [but y=120 degree proved]

240+x=360

x=120

Answer:

the answer is 120 degrees- i dont feel like typing everything out about how i got it but ik thats the answer.

Step-by-step explanation:

By definition, 3 side lengths are a triangle if any 2 side lengths add up to be greater than the third.

We can already see that the side lengths 6 and 12 will add up to a value of 18, which is equal to the last side length, meaning that the three values are not a triangle.

[tex]a=6[/tex]

[tex]b=12[/tex]

[tex]c=18[/tex]

[tex]a+b>c[/tex]

[tex]b+c>a[/tex]

[tex]c+a>b[/tex]

[tex]6+12>18[/tex] (Since this is not true, this is not a triangle)

Hope this helps.

頑張って!

Answer:

x = -2

Step-by-step explanation:

-3(4x + 2) = 18

Divide by -3:

-3(4x + 2) / -3 = 18 / -3

4x + 2 = -6

Subtract 2:

4x + 2 - 2 = -6 - 2

4x = -8

Divide by 4:

4x / 4 = -8 / 4

x = -2

Answer:

cheating in entrance

Step-by-step explanation:

circumference: 14π

area: 49π

Answer:

nope

Step-by-step explanation:

Answer:1.25

Step-by-step explanation:90/72

Joe can make 9 key chains to have the same number of beads with 90 blue beads and 72 yellow beads.

The HCF of two or more than two numbers is the highest number that divides the given two numbers completely.

Joe wants each key chain to have the same number of beads.

∴ HCF of 72 and 90 is 18

Now with those 18 beads 9 each type he can make (90 + 72)/18 key chains.

= 162/18.

= 9 key chains.

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Answer: Distance(Miles)

140,420,560

Time(Hours)

5,10

Answer:

Step-by-step explanation:

  A = ¹/₂(B + C - D)

  ×2      ×2

 2A = B + C - D

-C+D         -C+D

  2A - C + D = B