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Serjik [45]
3 years ago
11

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

7x = 180 - 5

7x = 175

x = 175÷ 5 = 25

Now we calculate each angle

x=25

4x-10= (4*25) -10=100-10=90

2x+15=(2*25)+15=50+15=65

Because we have a right angle, then the triangle is right triangle

6 0
3 years ago
Read 2 more answers
Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra
ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

            Greg swam 16 kilometers with the current.

            Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= (x-3)\ kmph

   Speed of swimming with current= (x+3)\ kmph

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, Time= \frac{Distance}{Speed}

⇒ \frac{4}{(x-3)} = \frac{16}{(x+3)}

Multiplying both side by (x+3) and (x-3)

⇒4\times (x+3)= 16\times (x-3)

Using distributive property of multiplication.

⇒ 4x+12= 16x-48

Subtracting both side by 4x and adding by 48.

⇒60= 12x

Dividing both side by 12

⇒x= \frac{60}{12} = 5\ kmph

Hence, Greg can swim at the rate of 5kmph with no current.

7 0
3 years ago
A sofa regularly sells for 680. The sale price is 639.20. Find the percent decrease of the sale price from the regular price.
elena55 [62]
There is a 6% decrease as 639.20 divided 680 is 0.94. Meaning 6% decrease.
6 0
3 years ago
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