Which measure is equivalent to 1.2 km?

Answer:

(2a-5)² is the final solution

Step-by-step explanation:

4a²-20a+25

= (2a)² - 2 × 2a × 5 + 5²

= (2a-5)²

Answer:

(2a-5)^2 is the answer.

Answer:

(0,2) :)

Step-by-step explanation:

For the 21% of a number is 27, the value of 7% of that number is 7.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

⇒ 21% of a number is 27

Let a number is = x

So, We can formulate;

⇒ 27% of x = 27

Solve for x as;

⇒ 27/100 × x = 27

⇒ 27x = 27 × 100

⇒ 27x = 2,700

⇒ x = 2,700 / 27

⇒ x = 100

So, 7% of 100 is,

⇒ 7% of 100

⇒ 7/100 × 100

⇒ 7

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Answer:

x would equal -1.03(1 DP)

"-26x - 12 = 15, solve for x."

Step-by-step explanation:

Start with adding 12 to both sides of the expression. Sides were switched purposely.

\(15 + 12 = -26x - 12 + 12\)

Next, simplify your addition process. You do this by using a specific rule.

\((-a) = a\:\:\mathrm{if\:a\neq 0}\\-26x = 26x\\26 + (x)\\= 26 + 1\\= 27\\= -26x=27\)

Lastly, we are going to divide both sides by -26(x was cancelled).

\(\frac{-26x}{-26}=\frac{27}{-26}\)

Thus,

\(x= -1.03\)

➲ Hope this helps, address any concerns if needed.

Answer:

x = -1.038

Step-by-step explanation:

- 26x - 12 = 15

- 26x = 15 + 12

- 26x = 27

x = - 27/26

x = - 1.038

__________

hope this helps!

Answer:

Step-by-step explanation:

12% of 85 =x                Change the % to a fraction

12/100 * 85 =  x            Divide 100 into 85

12 * 0.85 = x                 Multiply by 12

10.2 = x

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \frac{4}{5} \div \frac{3}{4} \)

= \( \: \frac{4}{5} \times \frac{4}{3} \)

= \( \: \frac{4 \times 4}{5 \times 3} \)

= \( \: \frac{16}{15} \)

= \( \: 1 \frac{1}{15} \)

( OR )

= \( \: 1.0667\)

\(\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆\)

Step-by-step explanation:

\( \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you\)

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

\(\frac{110}{3}\)    or     \(36\frac{2}{3}\)

Step-by-step explanation:

Answer:

(0, 14)

Step-by-step explanation:

The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.

:)

Answer:

The answers are correct.

Step-by-step explanation:

Please rate the answer and like it if it helped.

Answer:

10 if going from the smallest to the largest or 1/10 if going from the smallest to the largest.

Step-by-step explanation:

Let s = scale factor

10s = 100  Divide both sides by 10

s = 10

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

\(y=\frac{5x+6}{x^2+6x+9}\)

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

\(x^2+9x+9\:=0\)

\(\left(x+3\right)^2=0\)

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\(x+3=0\)

Subtract 3 from both sides

\(x+3-3=0-3\)

\(x = -3\)

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

Answer:

Step-by-step explanation:

Three kernels out of 150 is equal to 1 in 50 kernels

2 kernels out of 75 is 1 in 37.5  Different Ratio

4 kernels out of 200 is 1 in 50  Same Ratio

1 kernels out of 50 is 1 in 50  Same Ratio

Answer:

The same ratio is 4 unpopped out of 200 kernels and 1 unpopped out of 50 kernels.

Step-by-step explanation:

You have to add or subtract 50 each time. If it doesn't become an even number, then it's different.

9514 1404 393

Answer:

  480 ft

Step-by-step explanation:

The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.

The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.

  8 × 60 ft = 480 ft

The lighthouse is 480 feet away.

we need the image to solve the problem

Answer:

  42

Step-by-step explanation:

Of 96 members, you want to know the number that did not vote if 1/6 voted in favor and 2/5 voted against.

The votes in favor were 1/6 of 96:

  1/6 · 96 = 16

The votes against were 2/5 of 96:

  2/5 · 96 = 38.4 ≈ 38

The number who did not vote is the difference between the total membership and those who did vote:

  non-voters = 96 -16 -38 = 42

42 members did not vote.

Answer:

20

Step-by-step explanation:

The total gains of Jack if, In the first play, he gained 12 yards, in the second play lost 15 yards, in the third play gained 25 yards, and in the fourth play lost 2 yards is 20 yards.

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

In the first play, he gained 12 yards, in the second play lost 15 yards, in the third play gained 25 yards, and in the fourth play lost 2 yards.

Assume the gains can be denoted by positive and loss by negative,

Gains = 12 yards, 25 yards.

Total gain = 12 + 25 = 37 yards

Loss = -15 yards, -2 yards

Total loss = -15 + (-2) = -17 yards

Calculate the total gain as shown below,

Total gain = total gain + total loss

Total gain = 37 + (-17)

Total gain = 20 yards.

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Answer:

7z + 17

Step-by-step explanation:

Like terms

All the numbers without letters are like terms

All the numbers with letters are like terms

Since we have 2 numbers without letters, we'll combine those.

15 + 2 = 17

Since there's only one number with letters, we can keep it the same since there's no others to combine it with

7z + 17

Answer:

A positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

What is an integer?

Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The boldface Z or blackboard bold "Z" is frequently used in mathematical notation to represent a collection of numbers.

Step-by-step explanation:

We know That total No. of factors

=product of (prime no′s power+1)

If N is the number of different divisors:

N=(p1​+1)⋅(p2​+1)⋅⋅⋅(pn​+1)

100= 2^2 × 5^2

=2×2×5×5= (1+1)(1+1)(4+1)(4+1)

Then the integer n=  a1^p1​​⋅a2^p2​​⋅⋅⋅⋅an^pn​​

For the smallest value: p1​=4,p2​=4,p3​=1,p4​=1

Then,

n=a1^4​×a2^4​×a3^1​×a4^1​

=24⋅34⋅51⋅71

=16⋅81⋅5⋅7

=45360

Hence, the positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

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Answer:

The first one:

−8x4−14x2−3

Step-by-step explanation:

(-4•2-1)(2•2+3)

-4•2 = -8

-8 - 1 = -9

(-9)(2•2+3)

2•2 = 4

4+3 = 7

(-9)(7) = -63

Now we find the one that equals -63:

-8•4-14•2-3

(-8•4)-14•2-3

-32-14•2-3

-32-(14•2)-3

-32-28-3

(-32-28)-3

-60-3

-60-3 = -63

BAM! THE ANSWER!

Answer:

The firs one is the right one

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\boxed{x=9}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving the Equation for 'x':}}\\\\-9x+1=-80\\---------\\\rightarrow -9x+1-1=-80-1\\\\\rightarrow -9x=-81\\\\\rightarrow\frac{-9x=-81}{-9}\\\\\rightarrow \boxed{x=9}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

8.125

Step-by-step explanation: 130/16=8.125

The polar coordinates of the points are: A(√29,68.1°),B(√45,-63.4°),C(√97,66.0°),D(√65,7.12°)

consider A=(2,5)

To find the polar coordinates we have the formula:

\(r=\sqrt{x^2+y^2} and tan^{-1} (\frac{y}{x} )----------(1)\)

Assume that x=2,y=5 and substitute in equation(1)

r=√2^2+5^2 and tan^-1(5/2)

r=√4+25 and tan^-1(2.5)

r=(√29,68.1°)

For point B =(3,-6)

Assume that x=3,y=-6 and substitute in equation(1)

r=√3^3+(-6)^2 and tan^-1(-6/2)

r=√9+36 and tan^-1(-2)

r=(√45,-63.9°)

For point C=(-4,9)

Assume that x=-4,y=9 and substitute in equation(1)

r=√(-4)^2+9^2 and tan^-1(9/-4)

r=√16+81 and tan^-1(2.25)

r=(√97,66.0°)

For the point D=(-8,-1)

Assume that x=-8,y=-1 and substitute in equation(1)

r=√(-8)^2+(-1)^2 and tan^-1(-1/-8)

r=√64+1 ,7.12°

r=(√65,7.12°)

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As per the given equation, when a = 3 and b = -2, the value of the expression \(b^2\) - 4ab is 28.

When a = 3 and b = -2, we replace the given values into the formula and make the necessary calculations to evaluate the expression b² - 4ab.

Now,

\((-2)^2 - 4 * 3 * (-2)\)

4 - 4 * 3 * (-2)

Multiplying -4 and 3 gives us -12, so the expression becomes:

4 - (-12) * (-2)

Multiplying -12 and -2 gives us 24, so the expression further simplifies to:

4 + 24

Adding 4 and 24 together yields:

28

Therefore, when a = 3 and b = -2, the value of the expression b² - 4ab is 28

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Your question seems incomplete, the probable complete question is:

Using quadratic formula, Evaluate b²-4ab when a= 3, b = -2

Answer:

could you show the answers

Step-by-step explanation:

= 1/6 mi + 4/9mi

= 9 + 24

54

=33/54mi

= 9.444444...

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer: 32 room

Step-by-step explanation:

\(7\frac{3}{4} =\frac{4(7)+3}{4} =\frac{28+3}{4} =\frac{31}{4}=7.75\)

If 1 room = 7.75 yd of carpet ⇒ x rooms = 250 yd of carpet

Use proportions & cross-multiply to solve:

\(\frac{1}{7.75} =\frac{x}{250}\\7.75x=250\\x=\frac{250}{7.75} =32.258\)

So 250 yd of carpet can cover about 32 rooms.

The solution of inequality is,

⇒ x < 2

Given that;

The inequality is;

⇒ 2x + 1 < 5

We have to solve the inequality.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The inequality is given as;

⇒ 2x + 1 < 5

Solve as;

2x + 1 < 5

Subtract 1 from both side,

2x + 1 - 1 < 5 - 1

2x < 4

Divide 2 from both sides,

x < 2

Hence, The solution of inequality is,

⇒ x < 2

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Answer:

the correct answer is x<2

Step-by-step explanation: