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3 years ago

Jack has 20 more stamps than Dylan has. Together they have 46 stamps. Find the number of stamps each has

Mathematics

2 answers:

belka [17]3 years ago

4 0

Answer: Jack has 33 stamps and Dylan has 13 stamps .

Step-by-step explanation:

Let x be the number of stamps Jack has and the number of stamps Dylan y.

$x-y=20----------------(1)\\\\ x+y=46-----------------(2)$

Adding equation (1) and (2), we get

$2x=66\\\\\Rightarrow\ x=\dfrac{66}{2}=33$

From (1), we have

$33-y=20\\\\\Rightarrow\ y=33-20=13$

Hence, Jack has 33 stamps and Dylan has 13 stamps .

Pachacha [2.7K]3 years ago

3 0

Answer:

The number of Jack's stamps is 33 and Dylan's stamps is 13

Step-by-step explanation:

Let

x -----> the number of Jack's stamps

y -----> the number of Dylan's stamps

we know that

x+y=46 ----> equation A

x=y+20 -----> equation B

Solve by substitution

substitute equation B in equation A and solve for y

(y+20)+y=46

2y=46-20

2y=26

y=13 stamps

Fond the value of x

x=y+20 -----> x=13+20=33 stamps

therefore

The number of Jack's stamps is 33 and Dylan's stamps is 13

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satela [25.4K]

Let the side of one edge of tile = a cm.

So area of tile = (side)^2 = $a^2$

But area of tiles = 900 square centimeter.

So $a^2 = 900$

$a = \sqrt{900}$
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3 years ago

The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .