A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.

Let the sons age = x

The dads age would be 3x ( 3 times the sons age)

X + 3x = 48

Simplify:

4x = 48

Divide both sides by 4

X = 12

The sons age is 12

Answer:

Step-by-step explanation:

6) y = 2x² +  6x - 80

1) y = 2*x² + 2*3x - 2*40

  y = 2 [ x² + 3x - 40]

2) Sum = 3

Product = -40

Factors = (-5) ; 8   {-5 +8 = 3  ; (-5)*8 = -40}

y = 2 [ x² + 8x - 5x - 40]

      = 2 [ x(x + 8) -  5(x + 8) ]

      = 2 [ (x +8) (x - 5)]

y = 2(x +8)(x -5)

b) y = 0

2(x + 8)(X - 5) = 0

x + 8 = 0 ;  x - 5 = 0

x = -8 ;             x = 5

(-8) ; 5  are the zeros.

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

[tex]c^{5}[/tex] × c

= [tex]c^{(5+1)}[/tex]

= [tex]c^{6}[/tex]

(c)

2[tex]y^{4}[/tex] × 5y³

= 2 × 5 × [tex]y^{4}[/tex] × y³

= 10 × [tex]y^{(4+3)}[/tex]

=10[tex]y^{7}[/tex]

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]

= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]

Answer:

3a. x=8 3b. x=4 4a. 7 4b. -13.5

Answer: A

0.16

Step-by-step explanation:

just took it

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

Answer:

no

Step-by-step explanation:

only number 2 pencils im pretty sure

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

Answer:

12:16

Step-by-step explanation:

28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.

Answer:

3/10 or 0.3

Hope this helps

the awnser is 0.3 .......................

the answer is -6.

the negative 7 turns the answer negative.

Answer: no

Step-by-step explanation: no

Answer:

Step-by-step explanation:

2 ( 7 b 2 + 15 b + 649 )

Answer:

1298+28b+30b

1298+58b

2(649+29b)

Answer:

$25

Step-by-step explanation:

500*0.05=25

Answer:

$25 because 100 is half of 500

Step-by-step explanation:

The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.

Answer:

Im not

sure but i think its (B) i really hope its right

Step-by-step explanation:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

Given that a group wants to visit a water park over the summer, and tickets cost $ 10 for each child and $ 15 for each adult, and the group has a total of $ 90 to spend on tickets to the water park, to determine how many people from each group went to the park, the following calculation should be made:

10X + 15Y = 90

Thus, there are different correct options:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

credit to: francocanacari

Using the distributive property with FOIL:

(3n + 2) ( n + 3)

3n² + 9n + 2n + 6

3n² + 11n + 6

Answer:

7

Step-by-step explanation:

if v=2 and w=5 you add 5 and 2 and get 7

Answer:

A = 1

B = 0

Step-by-step explanation:

Answer:

The rate of travel is 105.6 feet per second, so 211.2 feet could be travelled in 2 seconds.

Step-by-step explanation:

If you take 5280 times 72 it equals 380160 which is the total amount of feet travelled in an hour so you divide it by 60 giving you 6336 which is the total feet travelled in 1 minute and you divide it 1 more time to get 105.6 which is the total feet travelled in 1 second. Hope this helps!

Answer:

B.[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}[/tex]

So B is the correct answer.

Expression is a combination of operators, variables and numbers.. The value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

Expression is a combination of operators, variables and numbers.

The given expression is one by two  times of m minus two by three times n.

1/2 (m-2/3n)

where m and n are two variables with values m equal to three by two 3/2 and n equal to one by two.

1/2 (3/2-2/3(1/2))

Firstly we solve the value in parenthesis.

1/2 (3/2-1/3)

LCM of two, three is six

1/2 ((9-2)/6)

Subtract nine and two we get seven

1/2 (7/6)

Now one by two times of seven by six

7/12

So value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

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The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.

New position :

Let the number of overtime hours required weekly = t

Hence,

(14.90 × 40) + 22.35t = 820

596 + 22.35t = 820

22.35t = 820 - 596

22.35t = 224

t = 224 / 22.35

t = 10

Therefore, he'll need 10 hours of overtime.

Learn more : https://brainly.com/question/18112348