Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1 4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?

[tex]\\ \rm\Rrightarrow 2x+15=2x-15[/tex]

[tex]\\ \rm\Rrightarrow 2x-2x=-15-15[/tex]

[tex]\\ \rm\Rrightarrow 0=-30[/tex]

Hence

[tex]\\ \rm\Rrightarrow x=\infty[/tex]

Answer:

4/9 and 30/9

Step-by-step explanation:

9, 18, 27, 36

3, 6, 9, 12,

4/9 already has 9 denominator

10/3 × 3/3= 30/9

so now both numbers have common denominators.

4/9 and 30/9

Answer:

set of even counting number is well-defined

Answer:

11703.7 metres

Step-by-step explanation:

* means multiply

/ means divide

plug in the values

T=26- h/500

-53 =  26- h/500

-53 -26 = h/500

-79 = h/500

-79 * 500 = h

-39500 = h

-39500 is in feet

3³/8 =

39500 / 3.375 =

11703.7037037 metres

Answer:

[tex]\sqrt{3 }[/tex] + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Using exact values

2sin60°sin90° + cos60°cos0°

= 2 × [tex]\frac{\sqrt{3} }{2}[/tex] × 1 + [tex]\frac{1}{2}[/tex] × 1

= [tex]\sqrt{3}[/tex] + [tex]\frac{1}{2}[/tex] ← exact value

Step-by-step explanation:

[tex] - \frac{2}{3} + 1 \frac{5}{6} + ( - \frac{3}{2} )[/tex]

[tex] = 1 \frac{5}{6} - \frac{2}{3} - \frac{3}{2} [/tex]

[tex] = \frac{11}{6} - (\frac{2}{3} + \frac{3}{2} )[/tex]

[tex] = \frac{11}{6} - ( \frac{4 + 9}{6} )[/tex]

[tex] = \frac{11}{6} - \frac{13}{6} [/tex]

[tex] = \frac{11 - 13}{6} [/tex]

[tex] = \frac{ - 2}{6} [/tex]

After simplifying,

[tex] = \frac{ - 1}{3} (ans)[/tex]

Answer:

x = 6

Step-by-step explanation:

20 = 7x + 2 - 4x

7x + 2 - 4x  = 20    (switch the sides)

7x - 4x + 2 = 20     (group the like terms together)

3x + 2 = 20            (add similar numbers, in this case it's the both x's)

    -2     -2              (subtract 2 on both sides)

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

3x = 18

/3     /3                   (divide both sides by 3)

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

x = 6

Answer:

a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.

An input of x gives an output of 3x - 1

b) y = 3x - 1

Step-by-step explanation:

The pattern is that you multiply the number by 3 then subtract 1.

3*3 - 1 = 9 - 1 = 8

10 * 3 - 1 = 30 - 1 = 29

20 * 3 - 1 = 60 - 1 = 59

So:

a)

For an input of 5,

5 * 3 - 1 = 15 - 1 = 14

For an input of -1:

-1 * 3 - 1 = -3 - 1 = -4

For an input of x:

x * 3 - 1 = 3x - 1

So the equation is

b) y = 3x - 1

where x is the input value.

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

Answer:

5×(2x+3)

Step-by-step explanation:

hope this helps:)

Answer:

Angle ABC = 110 degrees

Step-by-step explanation:

Set angle ABC equal to the two parts and solve for x

17x + 8 = 42 + 12x - 4

17x + 8 = 12x + 38

5x = 30

x = 6

Plug in x to angle ABC and solve

17(6) + 8 = 110

Answer:

Solution given:

-2b(-7)=11

open bracket

-2b*-7=11

+14b=11

divide both side by 14

14b/14=11/14

b=11/14

Answer:

[tex] - 2b ( - 7) = 11 \\ - 2b \times - 7 = 11 \\ 14b = 11 \\ b = \frac{11}{14} \\ thank \: you[/tex]

Answer:

Here ia your answer

Hope it helps

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )

5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )

3ac + 7ab = - 5bc ( factor a out of each term on the left side )

a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)

a = - [tex]\frac{5bc}{3c+7b}[/tex]

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

(b)

p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )

pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides

(pq)² = 4r(q² - s) ← distribute

p²q² = 4rq² - 4rs ← subtract 4rq² from both sides

p²q² - 4rq² = - 4rs ( multiply through by - 1 )

4rq² - p²q² = 4rs ← factor out q² from each term on the left side

q²(4r - p²) = 4rs ← divide both sides by (4r - p²)

q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )

q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]

Answer:

It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]64^1/4\\\\=\dfrac{64^{1}}{4} \\\\=\dfrac{64}{4} \\\\=16\\\\Answer\ C[/tex]

Answer:

12

Step-by-step explanation:

2x - 4= 16

Divide by 2

2x/2 -4/2 = 16/2

x -2 = 8

Add 4 to each side

x-2+4 = 8+4

x+2 = 12

Answer:

Units of Length

10 millimeters (mm) = 1 centimeter (cm)

10 decimeters = 1 meter (m)

10 decimeters = 1000 millimeters

10 meters = 1 dekameter (dam)

Answer:

1. Amy, Rick, Jeff, Bonnie (Bonnie wins)

2a. You're answer is correct since there is multiple ways to do it

2b. 52212 is greater than 43541 because it is a bigger number

Step-by-step explanation:

Answer:

[tex]{ \underline{ \sf{true}}}[/tex]

Answer:

The perimeter of a rectangle can be calculated by adding both lengths, and both widths

Step-by-step explanation:

Answer:

I have no idea either

Step-by-step explanation:

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

you are totally correct

Answer:

x = 1/4

Step-by-step explanation:

-6x –(-9 – 4x) = -2(3x – 5)

-6x + 9 + 4x = -6x + 10

-2x + 9 = -6x + 10

-2x + 6x = 10 - 9

4x = 1

x = 1/4

Answer:

(14, 42)

Step-by-step explanation:

(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets

Step-by-step explanation:

what you have written I can't send one thing on

Answer:

B,87

STEPS

78+89+83+80+84+95+100+86+84+91

10

870

10

9514 1404 393

Answer:

Step-by-step explanation:

The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...

  y = constant

__

For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...

  y = 4

As we said above, the slope of that horizontal line is zero.

The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.

Answer:

f(x)=x–5

f (3x–2) = (3x–2) –5

f (3x–2) = 3x–7

I hope I helped you^_^

Answer: [tex]\boxed {12.69 inches}[/tex]

Step-by-step explanation:

Given information

Red pencil = 4.32 inches

Blue pencil = 6.1 inches

Green pencil = 2.27 inches

Expression deducted from the question

Total length = Red pencil + Blue pencil + Green pencil

Substitute values into the expression

Total length = (4.32) + (6.1) + (2.27)

Simplify by addition

Total length = 10.42 + 2.27

Total length = 12.69 inches

Hope this helps!! :)

Please let me know if you have any questions

The sum of the length of the pencils is 12.69 inches

To Obtain the sum of the length of the pencils, we use the addition operator on the given lengths :

The sum of the lengths of the pencils :

(4.32 + 6.1 + 2.27) inches = 12.69 inches

Therefore. The total sum of the lengths of the pencils is 12.69 inches

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