Thomas and Silvia are brother and sister. Thomas is 12 years older than Silvia and their combined ages are 44. How old are Thomas and Silvia?


show work please

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Given -

{(x, y): y = 2x-3)}

To find -

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p

[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}

[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]

[tex]\therefore\bf{p=1\:and\:q=7}[/tex]

Step-by-step explanation:

[tex]3(4 - 2x) = - x + 1 \\ 12 - 6x = - x + 1 \\ 12 - 1 =6x - x \\ 11 = 5x \\ \frac{11}{5} = x \\ 2 \frac{1}{5} = x \\ [/tex]

The solution of the equation is x = 11/5

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given equation is,

3 (4 - 2x) = -x + 1

We have to solve the equation.

Distributive property states that, for three numbers, a, b and c,

a(b + c) = ab + ac

So, 3 (4 - 2x) = (3 × 4) - (3 × 2x)

                     = 12 - 6x

Substituting,

3 (4 - 2x) = -x + 1

12 - 6x = -x + 1

-6x + x = 1 - 12

-5x = -11

x = 11/5

Hence the solution is x = 11/5.

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The method among the options that could be used to find the quotient of 468  ÷  12 using partial quotients are;

Options B and D

Will wants to divide 468  ÷  12 using partial quotients;

The dividend here is 468 and the divisor is 12.

Thus, we will have; 468 - 360 = 108

Thus, in conclusion looking at the options the only one that corresponds to the steps above will be options B and C

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Answer:

Step-by-step explanation:

Slope= - 4/7

y-intercept: 1

The slope is negative. 4 down from y=1 and seven to the right and 4 up from y=1 and 7 to the left. You only need two points to trace a line.

Answer:

5. 5k-4. 7. 13-8x. 9. 15x-5. 11. -1/4y +2

Step-by-step explanation:

it's all about combining the same variables

Answer:

C: mean 6.5 median 6

Step-by-step explanation:

median you find middle number in sorted numbers lined up. mean is all numbers added up and divided by how many there are

Answer: y=4x-9

Step-by-step explanation: y=mx+b .  formula

Answer:

by my calculator I got 2.25

Answer:

150-75=75, so a change of -75

Step-by-step explanation:

He spent 150 tokens and only got 75 tokens back

Answer:

13/6

Step-by-step explanation:

Answer: 33/16

Step-by-step explanation:  2*16 = 32...      32+1= 33

Answer:

45mph

Step-by-step explanation:

Answer:

x=40

y=40

Step-by-step explanation:

hlo there!

as the given is 90 ° in fig;

90+50+x= 180°( sum of angle of traingle)

x=180-140

x=40°

as there is alternate angle.

lets suppose the alternate angle of x is z

z=40°

now'

40 + 100+ y=180°( sum of angleof traingle)

y=40°

hope it helps!

Answer:

y = 7/4x - 3

Step-by-step explanation:

y = mx + b

y = 7/4x - 3

Answer:

x=21

Step-by-step explanation:

x=180°-159° (int angles, m//n)

=21°

Answer:

He will need 1/8 of sand to fill the cup

Step-by-step explanation:

For 1/2 i filled half of the cup for 1/3 i made new cup split it in 3 and added it in main cup then for 1/8 made a new cup split it in 8 and added it to main cup the test is sand.

Answer:

I think it is a Toyota I don't remember the model name.

Step-by-step explanation:

Answer:

131

Step-by-step explanation:

Answer:

A). 8 is correct answer

Step-by-step explanation:

8 x 1 = 8

(Hope this helps can I pls have brainlist (crown )☺️

Answer:

[tex]y=\frac{10}{30} x+90[/tex]

Step-by-step explanation:

y = mx + b is the formula for slope intercept form

Mark as brainliest if correct :)

Answer:

yes

Step-by-step explanation:

2/4 and 2/3 has a LCM of 12

Answer:

Step-by-step explanation:

The LCM of 2/4 and 2/3 is 2. This is because 2/4 goes into 1, 3/2, and 4/2=2. 2/3 goes into 4/3, 6/3=2.

Answer:

mean : 85.6

mode : 95

median : 90

range : 35

Step-by-step explanation:

B The mean

The reason why is because it shows the average test score of all the students .

C The mean would decrease because there is more numbers to divide by after adding all of them together .

Answer:

bro just wondering what the points you like to skin and hair by the trees and shrubs and trees and

Answer:

165 degrees

Step-by-step explanation:

there are 2 measures on the other side of the protractor, they are: 15 and 165.

the angle is wider than a 90 degree angle, so it can't be 15 degrees

Answer:

C ≅ 69.08

a= 380.1 square inches

Step-by-step explanation:

Answer:

21.5518292683

Step-by-step explanation:

7069 / 328 = 21.5518292683

Answer:

x+9=18-2x

-x         -x

9=18-3x

-18-18

-9=-3x

-3   -3

3=x

x=3  

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable and solve for x for the question “ x + 9 = 18 + -2x”.

Hope this helps :)

Answer:

4

Step-by-step explanation:

She blocked 15 shots and missed 4

So divide 15 by 4. The Answer is 3.75, which is nearly 4.

4 times 4 is 16.