When converting a improper fraction into a mixed number how do you find the denominator for the mixed number?

Answer:

24

Step-by-step explanation:

Each side from triangle AHM to triangle DPL is divided by 2

32/2 = 16

40/2 = 20

Therefore, 48 / 2 = 24

Answer:

x = 24 (Answer B)

Step-by-step explanation:

Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.

Thus the length of x is half of the corresponding side in the larger triangle, that is:  x = half of 48, or x = 24 (Answer B)

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 6x + 2

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 2

  = (x - 3)² - 7 ← in vertex form

with vertex = (3, - 7 ) and a = 1

Since a > 0 then vertex is a minimum

Answer:

The vertex is a minimum.

Answer:

aₙ= 47 -3n

Step-by-step explanation:

44, 41, 38, 35, 32

This is AP with 1st term of 44 and common difference of -3

nth term of this AP:

Answer:

Option C.

Step-by-step explanation:

Note: In option C interval should be (-1,1) instead of [-1,1].

From the given table it is clear that the value of f(x) is 0 at x=-1 and x=1.

The value of f(x) is negative over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]. So,

[tex]f(x)<0[/tex] over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]

The value of f(x) is positive over the interval [tex](-1,1)[/tex]. So,

[tex]f(x)>0[/tex] over the interval [tex](-1,1)[/tex]

Therefore, the correct option is C.

Answer:

x = 8

Step-by-step explanation:

Let us take the breadth as 'x'

breadth = x

length = 3 + x

perimeter = 38m

perimeter of a rectangle = 2 ( l + b )

= 2( x + x + 3 ) = 38

4x + 6 = 38

4x = 38-6

x = 32/4

x = 8

breadth = 8

length = 11

Answer:

x=65

Step-by-step explanation:

x/5 - 2 = 11

x/5= 11+2

x/5=13

x=13×5

x=65

Answer:

Step-by-step explanation:

Question = x/5 - 2 = 11

1. Isolate the variable

x/5 - 2 = 11

    + 2   + 2

x/5 = 11

2. Remove the fraction

x/5 = 11

*5      *5

3. Simplify

x = 55

The answer is x = 55.

Hope this helped,

Kavitha

Answer:

The correct option is A:

A) Time of flight = 7 hours 5 minutes

Step-by-step explanation:

If

For eastern time zone, t = 12:00 pm

Then, pacific time zone , t =  9:00 am

Which means the pacific time lags 3 hours to eastern time

Time of departure = 9:15 am (eastern time)

TIme of arrival = 1:20 pm (pacific time)

Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.

Converting both in pacific time zone.

Time of arrival = 1:20 pm (pacific time)

Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)

Time of departure =  6:15am (pacific time)

Time of flight = Time of arrival - Time of departure

Time of flight = 1:20pm - 6:15am

Time of flight = 7 hours 5 minutes

Answer:

The correct option is:

14 inches

Step-by-step explanation:

The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.

We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.

The area of trapezoid is given as:

Area = ((Top width + Bottom width)/2) · h

Area = ((9+5)/2) · 2

Area = (14/2) · 2

Area = 7 · 2

Area = 14 inch²

Answer:

14

Step-by-step explanation:

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]-3(-3 + 2) - 6[/tex]

Required

Drag the steps

Note that not all steps in the given diagram will be used;

Step 1: Perform Multiplication; 9 + -6 - 6

Step 2: Simplify: -3

Further Explanation:

Step 1 is gotten by opening the bracket;

[tex]-3(-3 + 2) - 6[/tex]

[tex]9 +-6 - 6[/tex]

Step 2 is gotten by solving step 1 further

[tex]9 +-6 - 6[/tex]

[tex]9 - 6 - 6[/tex]

[tex]9 - 12[/tex]

[tex]-3[/tex]

Answer:

EF = 8

Step-by-step explanation:

FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is

[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10) ← distribute

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Thus EF = x = 8

Answer:

( -3, 1)

........

Answer:

(-3, 1)

Step-by-step explanation:

The point lies on the line x = -3.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(-3, 1)

Hi there! Let’s see if I can help you <3

The Answer is: 15.81!

Here’s the step by step explication:

First we must find the difference of U and V: (7i-12j)-(-2i+j)

Distributed all out will equal: 9i-13j

We can then go ahead and use Pythagorean therm to find the magnitude: V = Square root of (9)^2 + (-13)^2

This equals Square root of 250!

Depending on the form your teacher wants to answer in it would finally be 5 square roots of 10 or in decimal form; approximately 15.8114!

HOPE IT HELPED YOUUU <3

Answer:

2 x 5

Step-by-step explanation:

When we add matrices, the dimensions of the matrices being added must be the same

A and B are 2 x 5 matrices so they are both 2 x 5 matrices

The output or the sum is also a 2 x 5 matrix

Answer:

129

Step-by-step explanation:

DCF = DCE + ECF

      = 75+ 54

      = 129

Answer:

m∠DCF = 129°

Step-by-step explanation:

∠DCF is ∠DCE + ∠ECF

You are adding the 2 smaller angles together to get the larger angle.

Answer:

$325

Step-by-step explanation:

Let x be the price of the washer.

Let y be the price of the dryer.

x + y = 708

x = y + 58

Put x as y+58 in the first equation and solve for y.

y + 58 + y = 708

2y + 58 = 708

2y = 650

y = 650/2

y = 325

Put y as 325 in the second equation and solve for x.

x = 325 + 58

x = 383

The cost of the washer is $383.

The cost of the dryer is $325.

Answer:

Step-by-step explanation:

Cost of dryer = $ d

Cost of washer = d + 58

Total cost = $ 708

d + (d + 58) = 708

2d + 58 = 708

         2d = 708 - 58

         2d = 650

           d = 650/2

      d = 325

Cost of washer = 325 + 58 = $ 383

Cost of dryer = $ 325

Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

I was taking the test and couldn't find the answer to this question anywhere so let me help you out...  

abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.

(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)

Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This gives the required equation

Answer: A  Find a common denominator on the right side of the equation

Step-by-step explanation: Took the test of FLVS

3x-9≤12

3x≤21

x≤7

-5x+10≤20

-5x≤10

x≥-2

Answer:

X = 4

Step-by-step explanation:

First, You need to rewrite the expression to look like this

9 - 3x = 12

An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this

3x = 12

Then divide both sides by 3 to get

x = 4

Answer:

0.9332

Step-by-step explanation:

Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

-----------------------------------------

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Looking at the standard normal table:

Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

A similar problem is given at https://brainly.com/question/6316394

Answer:

5/6 miles

Step-by-step explanation:

If they can pave 15 miles in 18 hours, they will pave and 18 of the miles in an 18 of the time, as 1/18 is an eighteenth. This means they will pave 15/18 miles, which simplifies to 5/6 miles.

Answer:

[tex]P(4,3) = 4![/tex]

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

[tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]

This implies that

[tex]P(4,3) = \frac{4!}{(4-3)!}[/tex]

[tex]P(4,3) = \frac{4!}{(1)!}[/tex]

[tex]P(4,3) = \frac{4!}{1!}[/tex]

[tex]P(4,3) = \frac{4!}{1}[/tex]

[tex]P(4,3) = 4![/tex]

Answer:

The answer is 4!

Step-by-step explanation:

I just got this question right

Answer:

C. 46.5

Step-by-step explanation:

The formula for circumfrence is:

C= 2*pi*r

You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.

Answer:

The answer is given below

Step-by-step explanation:

Let the number of passengers that boarded the bus at the interchange be x.

At the first  bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the  bus.

Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]

At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers  boarded the bus.

Therefore The number of passengers when the bus left the second bus stop

[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]

Given that there were 24 passengers on the bus when it left the  2nd bus stop

[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]

Therefore 32 passengers boarded the bus at the interchange

Answer:

50 and 30.94

Step-by-step explanation:

The coat cost 46.5 pounds after a 7 percent reduction

so we can write:

using the proprtionality relation:

x= (100*46.5)/93 = 50

so the initial price of the coat is 50 pounds

The jumper costs 32.8 pounds after an increase of 6 percent

so:

using proportionality:

x= (100*32.8)/106 = 30.94

the initial price is 30.94 pounds

Answer:

a. £50

b. £30.94

Step-by-step explanation:

100-7=93

x×93/100=46.50

x×93=46.50×100=4650

x=4650/93=50 £

b.

100+6=106

y×106/100=32.80

y×100=32.80×100=3280

y=3280/106≈30.94£

Answer:

2

Step-by-step explanation:

I think the answer is 2, because 2a=4, but when simplified, you can divide both the numerator and denominator by 2, making the denominator 4/2= 2.

The missing denominator of the solution is 2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

2x² + 10x -6 = 0

Now, using Discriminant Method

x = [ -b ± √ (b² -4ac)] / 2a

Here, a= 2, b= 10 and c=-6

So, x = [ -10 ± √(10² - 4(2)(-6)] / 2(2)

x = [ -10 ± √ 100 + 48]/ 4

x = (-10 ± 2√37)/ 4

x = (-5 ± √37)/2

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ5

Answer:

Yes

Step-by-step explanation:

For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.

Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.

Thus, we have:

LM/XY = ON/WZ = MN/WZ = LO/ZY

35/10 = 35/10 = 63/18 = 63/18

It would give us a scale factor of 3.5

They are similar.

The answer is:

YES

LMNO ~ WXYZ

Scale factor = 3.5

Answer:

  see below

Step-by-step explanation:

When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.

The individual probabilities are ...

  D  -  1/4

  E  -  2/4

  R  -  1/4

__

So, the probability for a sequence like DD is ...

  p(D)·p(D) = (1/4)(1/4) = 1/16

Of course, to convert to a percentage, multiply by 100%:

  1/16 × 100% = 6.25%

The attachment shows the rest of them.

Answer:

A = 300 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 20 *15

A = 300 cm^2

Answer:

32% of the students did not have a pet.

Step-by-step explanation:

From the total students (100%):

Answer:

P(X≤57) = 84%

P(X≥57) = 16%

P(47≤X≤57) = 68%

P(X≤47) = 16%

P(X≥47) = 84%

Step-by-step explanation:

We know P(X≤52) = 50%, but this includes the mean as a maximum.

We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.

But if we combine them, we get P(X≤57) = 84%.

We could also say P(X≥57) = 16%.

Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%.  So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.

a) 382 mm

b) 505 mm

c) 3162 mm

d) 3103 mm

e) 5008400 mm

f) 9046850 mm

basically, there are 10mm in a cm, so you times by ten,

1000mm in a m so multiply by 1000

1000000mm in a km