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3 years ago

Complete the inequality for this graph acellus

Mathematics

1 answer:

Sati [7]3 years ago

3 0

Answer:

$y < x + 1$

Step-by-step explanation:

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19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p

Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0

2 years ago

Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.

VMariaS [17]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

4 0

3 years ago

What type of triangle is shown?

MAXImum [283]

Answer:

right triangle

Step-by-step explanation:

We know that the total angles of the triangle are 180 degrees:

(x) + (4x-10) + (2x+15) = 180

7x - 10 + 15 =180

7x + 5 = 180