Which Expression is equivalent to -2(x + 6) 2x + (-12) 2x + 12 2x + 6​

Answer:

The value of x is [tex]\frac{7\sqrt{6}}{2}[/tex]

Solution given:

AB=7

BD=x

<BAC=60°

<DBC=45°

In right angled triangle ABC

Tan 60°=opposite/adjacent

Tan 60°=BC/AB

Substitute value

[tex]\sqrt{3}[/tex]=[tex]\frac{BC}{7}[/tex]

BC=[tex]7\sqrt{3}[/tex]

again

In right angled triangle BCD

Using Cos angle

Cos 45=adjacent/hypotenuse

Cos45°=BD/BC

Substituting value

[tex]\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}[/tex]

Doing criss cross multiplication

[tex]\frac{\sqrt{2}}{2}*7\sqrt{3}=x[/tex]

x=[tex]\frac{7\sqrt{6}}{2}[/tex]

Answer:

$0.85

Step-by-step explanation:

$4.25 divided by 5 pounds equals $0.85 per pound.

Answer:

$0.85

Step-by-step explanation:

Find the unit rate.

4.25/5=x/1

Solve for x. X= 4.25/5=0.85

So 1 lb of tangerines costs $0.85.

After careful consideration the answer is...

1,260

Hope I helped

~Alanna~

Answer:

1,260

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = 60^o}[/tex]

We know:

∠AGB ≅ ∠DGC because they are vertical angles. They both are 90°.

∠AGE ≅ FGC because they are vertical angles, equal 30°.

∠BGF ≅ ∠DGE are vertical angles, both equal x.

All angles sum up to 360°, so:

360° = 90° + 90° + 30° + 30° + x + x

Simplify:

360° = 240° + 2x

Subtract:

120°  = 2x

x = 60°

Answer:

DIRECTION: On your activity notebook, answer each of the following:

A. MODIFIED TRUE OR FALSE. Determine whether each statement is true or false. If the statement is false, explain why.

1. The total area under the normal distribution is infinite.False [its 1]

2. The standard normal distribution is a continuous distribution .True.

3. All variables that are approximately normally distributed can be transformed to standard normal variables.True

4. The z value corresponding to a number below the mean is always negative true..

5. The area under the standard normal distribution to the left of z-0 is negative.

True

Answer:

D. g(x) = 1/2 × x²

Step-by-step explanation:

we need to pick the function that delivers

g(2) = 2

as the given point shows the coordinates (2, 2).

that means x=2, y=g(x)=2

A. for x=2

1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1

wrong, as we need 2 as result.

B. for x=2

(x/2)² = (2/2)² = 1² = 1

wrong

C. for x=2

2×x² = 2×2² = 2×4 = 8

wrong

D. for x=2

1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2

correct

Answer:

There is not enough information to determine the mean, the median is 28.

There is not enough information to determine the mean absolute deviation, the interquartile range is 18

Step-by-step explanation:

The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.

From the box plot given, the marked point in between the box is 28 cm

Hence, Median = 28 cm

The mean cannot be inferred from the skewed box plot.

There is also not enough information to determine the mean absolute deviation ;

The interquartile range:

(Q3 - Q1)

Q3 = upper quartile, the endpoint of the box = 40

Q1 = the starting point of the box = 22

IQR = Q3 - Q1

IQR = 40 - 22 = 18

Answer:

[tex]1/16[/tex]

Step-by-step explanation:

The formula for the sequence [tex]a_n=\frac{1}{2}^n[/tex] is used to find the [tex]n[/tex]th term of the sequence.

To find the fourth term, substitute [tex]n=4[/tex]:

[tex]a_4=\left(\frac{1}{2})\right ^4,\\a_4=\frac{1^4}{2^4}=\boxed{\frac{1}{16}}[/tex]

Answer:

1/16

Step-by-step explanation:

the nth term is

[tex]a_{n} = (\frac{1}{2} )^{n}[/tex]

the 4th term is found by substituting n=4

[tex]a_{4} =(\frac{1}{2} )^{4} = \frac{1^{4} }{2^{4} } = \frac{1}{16}[/tex]

Answer:

60t + 55t = 150

Step-by-step explanation:

I took the test. I know it's correct!!!

Answer:

[tex]{ \bf{P = 2L + 2W}} \\ { \tt{P = 2(W + L)}} \\ { \tt{P = 2(148 + 57)}} \\ { \tt{P = 410}}[/tex]

Answer:

P=410

Step-by-step explanation:

2(57)+2(148)=114+296=410

Step-by-step explanation:

a.2+9-5=6

b.-9+1=-8

c.7(-36+50/120)2

=7(24/120)2

Answer:

The average speed was of 2 miles per hour.

Step-by-step explanation:

Average speed:

Average speed is distance divided by time.

Distance:

Solved by proportions, using rule of three.

1800 steps - x miles

10,000 steps - 5 miles

[tex]10000x = 5(1800)[/tex]

[tex]x = \frac{9000}{10000}[/tex]

[tex]x = 0.9[/tex]

Distance of 0.9 miles.

Using a time of 27 minutes to complete the event, calculate your average speed.

Distance of 0.9 miles in 27/60 of an hour. So

[tex]d = \frac{0.9}{\frac{27}{60}} = \frac{60(0.9)}{27} = 2[/tex]

The average speed was of 2 miles per hour.

Answer:

$1487.50

Step-by-step explanation:

9514 1404 393

Answer:

  $1487.50

Step-by-step explanation:

The amount of interest due is ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...

  I = $1400×0.125×1/2 = $87.50

The total amount due is the sum of the loan amount and the interest:

  due = $1400 +87.50 = $1487.50

The total amount due after 60 months is $1487.50.

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

   if (i**3 - 10*(i**2) + 9*i-90) == 0:

       print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 |   1     -10     9      -90

    |          10     0       90

    _________________

        1       0     9        0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

Answer:

false

Step-by-step explanation:

a whole number is a number that doesnt contain a fraction or negative value

Answer:

998.

Step-by-step explanation:

Just get rid of the negative sign

Answer:

This should 998 I guess

Step-by-step explanation:

Minus the negative signs

9514 1404 393

Answer:

Step-by-step explanation:

If we let a, b, c represent tickets booked on airlines A, B, C, respectively, then we have ...

  a + b + c = 55

  a - b = 6

  -2b + c = 5

Using the last two equations to write expressions for a and c, we have ...

  a = b +6

  c = 5 +2b

These can be substituted into the first equation to give ...

  (b +6) +b +(5 +2b) = 55

  4b +11 = 55

  4b = 44

  b = 11

  a = b+6 = 17

  c = 5 +2b = 27

He booked 17 tickets on Airline A, 11 tickets on Airline B, and 27 tickets on Airline C.

Answer:

1320 ways

Step-by-step explanation:

Number of contestants = 12

Positions that are n be awarded = First, Second, Third

Number of contestants who could be first = 12 (all 12 contestants)

Number of contestants who could be second = 11 (all 12 contestants - first)

Number of contestants who could be third = 10 (all 12 contestants - first and second )

The number of ways prices can be given :

(1st * 2nd * 3rd) = 12 * 11 * 10 = 1320 ways

Answer:

R1 = 150 in = 12.5 ft

R2 = 170 in = 14.167 ft

H = 220 in = 18.333 ft

Volume of solid cylinder = Pi * R^2 * H

So the volume of a hollow cylinder must be V = Pi * H * (R2^2 - R1^2)

V = 3.142 * 18.33 * (14.17^2 - 12.5^2) = 2565 ft^3

.

Answer:

5 5/6

Step-by-step explanation:

7 x 5 = 35

35/6 = 5 5/6

Answer:

5 5/6

Step-by-step explanation:

7 * 5/6

7/1 * 5/6

Multiply the numerators

7*5 = 35

Multiply the denominators

1*6 = 6

Numerator over denominator

35/6

Change to a mixed number

6 goes into 35   5 times with 5 left over

5 5/6

the value of Zis 8.

Z =2^3=8

Now we have to,

find the required value of Z.

→ Z = 2^3

→ [Z = 8]

Therefore, value of Z is 8.

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)

9514 1404 393

Answer:

  B. 73.5 in²

Step-by-step explanation:

The triangle area is half the rectangle area, so the shaded area is also half the rectangle area:

  A = 1/2LW = 1/2(21 in)(7 in) = 73.5 in²

Answer:

B.) 73.5 in2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

2

Step-by-step explanation:

Answer:

$4543.70

General Formulas and Concepts:

Pre-Algebra

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

P = 3500

t = 6

r = 4.97% = 0.0497

Step 2: Find Interest

Answer:

13/16 miles per minute

Step-by-step explanation:

Take the miles and divide by the minutes

1/8 ÷ 2/13

Copy dot flip

1/8 * 13/2

13/16 miles per minute