Pat was 32 when his daughter Emma was born, and 36 when his son Andy was born. If the sum of the tree ages is now 100, how old is Andy Now?

Answer:

[tex]x - ( - 5) = - 15 \\ x + 5 = - 15 \\ x = - 15 - 5 \\ x = - 20 \\ thank \: you[/tex]

Answer:

y-(-5)=-15

y+5=-15

y=-15-5

y=-20

9514 1404 393

Answer:

  $58

Step-by-step explanation:

James currently has $67 less than $125:

  $125 -67 = $58

James currently has $58.

Step-by-step explanation:

As it holds Associative property..

So, it's correct

Answer:

TRUE

Step-by-step explanation:

Associative property of multiplication

Answer:

Ans : the length of 5/9 is 5m

Answer:

1 as

3/5 × 2/2 = 6/10

Step-by-step explanation:

Hope it helps

Answer:

y = [tex]\frac{5}{2}[/tex]x + 6

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097

And finally we have:

97/1000 as a decimal equals 0.097

Answer:

The answer is (D) $22 000

Step-by-step explanation:

800,000/100 = 8,000

8,000*2.75=22,000

Answer:

10. 9/40

11. $72

Step-by-step explanation:

10.

Step 1: Have the whole cake as 1,

[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]

11.

Step 1: Find the remaning income left

[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]

Step 2: Calculate the weekly income

3 units = $27

1 unit = $9

Weekly income = $9 * 8 = $72

Answer:

Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941

Answer:

14 minutes

Step-by-step explanation:

if Pete is x times fast then Repeat is 3x faster

so if both combine to complete a job in 56 minutes then we have

[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]

remember Pete is x hence Pete was 14 minutes fast

9514 1404 393

Answer:

  C)  69 ft

Step-by-step explanation:

The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.

  length = √(60² +35²) = √4825 ≈ 69.46

The length needed is about 69 feet.

Answer:

100

Step-by-step explanation:

Answer:

100 1- bedroom and 150 2- bedroom

Step-by-step explanation:

let x be the number of 1- bedroom apartments , then

x + 50 is the number of 2- bedroom apartments , so

x + x + 50 = 250 ( subtract 50 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom

Answer:

It has two solutions

Step-by-step explanation:

[tex]y = 5(x - 4)[/tex]

substitute for y in second equation:

[tex]4x + 12 = - y \\ 4x + 12 = - \{5(x - 4) \} \\ 4x + 12 = - 5x + 20 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]

then for y:

[tex]y = 5(x - 4) \\ y = 5( \frac{8}{9} - 4) \\ \\ y = 5( - \frac{28}{9} ) \\ \\ y = - \frac{140}{9} [/tex]

Answer:

1. 0

2.0

3.2

4.1

Step-by-step explanation:

1.3x+18

2.-2x+2

3.x-x+4-2

5-2x-2+5-2x

Answer:

9514 1404 393

Answer:

  x ≤ -7/2 or x > 1

Step-by-step explanation:

To solve the left inequality for x, subtract 1/2 from both sides:

  x ≤ -3 -1/2

  x ≤ -7/2

__

To solve the right inequality for x, add 3 to both sides.

  x > -2 +3

  x > 1

Answer:

12 divided by 4 equals 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 3x - 2

Slope of line is 3.

Slope of any perpendicular to the line is -⅓.

Answer:

1/4

Step-by-step explanation:

24/6

4

4+4+4+4+4+4

9514 1404 393

Answer:

  all except π are rational numbers

Step-by-step explanation:

Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.

All of the numbers listed except π are rational.

Answer:

x = 40

BRAINLIEST, PLEASE!

Step-by-step explanation:

8/x = 6/30

8/x = 1/5

x = 8/(1/5)

x = 8(5)

x = 40

Answer:

$20,017.92

Step-by-step explanation:

Semimonthly means twice a month.

There are 12 months in a year.

12 x 2 = 24 (because they are payed twice a month)

24 x 834.08 = 20017.92

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

Answer:

41

Step-by-step explanation:

This composite function can be easily solved

First solve f(-2)

f(-2)=(-2)³+3

f(-2)=-8+3=-5

Now plug -5 for x in function g(x)

=2(-5)²+2(-5)+1

=50-10+1

=41

9514 1404 393

Answer:

  41

Step-by-step explanation:

g(f(-2)) = g((-2)³ +3) = g(-8+3) = g(-5)

= 2(-5)² +2(-5) +1 = 50 -10 +1

g(f(-2)) = 41

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

x^2 - 4x - 12

=x^2 - 6x + 2x - 12

=x( x - 6) + 2(x - 6)

=(x - 6)(x + 2)

Answer:

x^2 -4x-12

factorization of 12 =2×2×3 = 6×4

or in the place of 4x = we put (6-2)x

x^2-(6-2)x-12

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6) (x+2)

Let's solve for x using trigonometric relation ( Cos )

we know,

[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]

now

[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 4 \sqrt{3} [/tex]

hence, the value of x is [tex] 4 \sqrt{3} [/tex]

Answer: 3ft difference

Step-by-step explanation:

Seagull = +4ft

Fish = +1ft     (since it jumped 1ft above sea level)

4-1 = 3ft difference

Answer:

As x→∞, f (x)→∞ and g(x)→∞.

Step-by-step explanation:

Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.