what is the sum of 5.4 + (-9.7)

Step-by-step explanation:

x² + 2x - 5 = 0

that is the same as

x² + 2x + 1 = 6

(x + 1)² = 6

x + 1 = ±sqrt(6)

x = -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

n² - 20n + 2 = 4

this is the same as

(n - 10)² = 102

n - 10 = ±sqrt(102)

n = 10 ± sqrt(102)

n1 = 10 + sqrt(102)

n2 = 10 - sqrt(102)

Answer:

232

Step-by-step explanation:

4*58=232

Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

(450 miles/3 inches) = 150 miles/inch

(1,250 miles)/(150 miles/inch) = 8.3333 inches

When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

On scale 3 inches represents the actual distance = 450 miles.

To find the distance on scale when actual distance = 1350

Since, 3 inches = 450 miles

1 inch = 450 / 3 = 150 miles

150 miles = 1 inches

1 mile =  / 1/ 150 inches

1350 miles = 1350 / 150 inches = 9 inches

The required distance on scale is 9 inches.

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The outcomes are

Total Outcomes=3×3=9

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

Answer:

x = 35 ,y = 35

Step-by-step explanation:

x = 35

y = 35

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

Answer:

B

Step-by-step explanation:

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

[tex]\frac{x}{x + 8}[/tex]

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]

[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])

Put the value of x in it.

[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]

[tex]\frac{12}{24} = \frac{1}{2}[/tex]

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

([tex]\frac{x}{x + 8}[/tex])

Put the value of x.

[tex]\frac{13}{8 + 13}[/tex]

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

Answer:

6,000,000

Step-by-step explanation:

the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)

Answer:

x ÷ 4 ≤ 5

Step-by-step explanation:

Step-by-step explanation:

first, we define the line.

the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).

the y-intercept is 2.

so, the line is

y = -3x + 2

now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.

the line is not included.

therefore the inequality is

y < -3x + 2 or 3x + y < 2

Answer:

Step-by-step explanation:

First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):

c = 13.0321

Then plug that into the area formula to get:

(0.5)(10)(12)(0.225496911)

Which is about:

13.53

Answer:

Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).

In this case, x would be the c.

Substitute in values of a and b:

[tex]10^2+10^2=c^2[/tex]

[tex]c^2=200[/tex]

[tex]c=\sqrt{200}[/tex]

[tex]c=10\sqrt{2}[/tex] (Option A)

Answer:

x=3-2i

Step-by-step explanation:

According to my calculations, this should be good

Answer:

Each journal costs $2.48

Step-by-step explanation:

Let X be the cost of a single journal.

You can write this equation to represent the problem:

26x = 64.48

(26 times the cost of the journal is $64.48)

Then just solve for x by dividing both sides by 26:

[tex]26x=64.48\\\frac{26x}{26} =\frac{64.48}{26}\\x=2.48[/tex]

Each journal costs $2.48

Answer:

x = 32

Step 1: Solve the right-hand side of the equation.

47 - x = 50 - 35

=> 47 - x = 15

Step 2: Subtract '47' from both ends.

=> 47 - x = 15

=> -x = 15 - 47

Step 3: Solve for x.

=> -x = -32

=> x = 32.

Hoped this helped.

Answer:

he would do 9 weeks of school

Step-by-step explanation:

count by fives

Answer:

a₆ = - 486

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 3 , then

a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486

The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2

Answer:

100 oxygen molecules simple math

Answer:

n=  -25

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25

Answer:

1/25

Step-by-step explanation:

Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25

Answer:

Khaled made 16 baskets.

Step-by-step explanation:

3 12

-- = ---

4 x

12 / 3 = 4

4 x 4 = 16

x = 16

Distance travel by Drew = 1,315.21 feet (Approx)

Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.

Given:

Total block in north = 3

Total block in west = 3

1 block = 310 feet

Find:

Distance travel by Drew

Computation:

Total distance in north = 3 × 310 = 930 feet

Total distance in west = 3 × 310 = 930 feet

Distance travel by Drew = Total distance in

north? + Total distance in west?

Distance travel by Drew = v9302 + 9302

Distance travel by Drew:

= V864,900 + 864,900

Distance travel by Drew = V1,729,800

Distance travel by Drew = 1,315.21 feet (Approx)

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A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:

scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]

In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.

Thus;

diameter of circle = 2 * 3

                             = 6 inches

But;

1 feet = 12 inches

So that;

x = 6 inches

⇒ x = [tex]\frac{6}{12}[/tex]

      = [tex]\frac{1}{2}[/tex]

x = 0.5 feet

Thus, the diameter of the circle is 0.5 feet.

So that;

scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]

                    = 0.125

scale factor = [tex]\frac{1}{8}[/tex]

The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

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Answer:

Step-by-step explanation:

Value of x= `

4x+5y-6z =2

x= (2-5y+6z) divided by 4

For example : if x is 2.5

2.5 = 2 - 5x2 + 6x3