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Veseljchak [2.6K]

4 years ago

9

What is the solution to the system of equations below?

1 answer:

sattari [20]4 years ago

7 0

If you add the two equations together, you'll get:
$5x=-10$ , which gives x = -2.

Replace x = -2 in any of the two equations and you'll get y = 1.

So correct answer is D: x=-2,y=1

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Solve the proportion using cross product round to the nearest hundredth if necessary 21/49 = 15/h

bekas [8.4K]

The answer is a) 35 because if you set 21/49 and 15/h equal to eachother and cross multiply it should lead you to 21(h) = 15(49) which then equals 21h = 735 and if you divide 21 on both sides you should get h = 35

8 0

4 years ago

What is the measure of ZP? <br><br> 39<br><br> 56<br><br> 97<br><br> 29

Fynjy0 [20]

Answer:

29 degrees

Step-by-step explanation:

Interior angle + exterior angle= 180 degrees

180-56=124

124+27=151

180-151=29

Hope this helps! :)

3 0

3 years ago

Read 2 more answers

What equation is equivalent to 4x+1/2+2x+(-3)

mamaluj [8]

Answer:

6x-5/2

Step-by-step explanation:

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

4x+2x+1/2-3

6x+1/2-3

6x+1/2-6/2

6x-5/2

5 0

3 years ago

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13

shepuryov [24]

Answer:

Hence, the surface area of cone is:

282.6 cm^2 which is approx 283 cm^2.

Step-by-step explanation:

We are given:

The circular base of a cone has a radius of 5 centimeters.

i.e. r=5 cm.

The height of the cone is 12 centimeters

i.e. h=12 cm.

The slant height is 13 centimeters.

i.e. l=13 cm.

Now we know that the surface area(S.A.) of cone is given by:

$S.A.=\pi r(l+r)$

Hence by putting the value of l,r and π in the formula we get:

$S.A.=3.14\times 5\times (13+5)\\\\S.A.=15.7\times 18\\\\S.A.=282.6$

Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.

4 0

3 years ago

Read 2 more answers

A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers,

coldgirl [10]

Answer:

18 kmh

Step-by-step explanation:

Given: Speed of cyclist is 9 km/h more than skater´s speed.

Distance covered at the given time by cyclist is 45 km and by skater is 30 km.

Let´s assume the speed of skater be "x"

∴ Speed of cyclist will be $(x+9) km/h$

Remember; time= $\frac{Distance}{speed}$

We know the time taken by both cyclist and skater are same.

∴ we can form an equation to find the speed of skater.

Time taken by cyclist= time taken by skater

⇒ $\frac{45}{(x+9)} = \frac{30}{x}$

Multiplying both side by $(x+9)\ and\ x$

⇒ $45x= 30\times (x+9)$

Using distributive property of multiplication

⇒ $45x= 30x+270$

Subtracting both side by 30x

⇒ $15x= 270$

Dividing both side by 15

⇒ $x= \frac{270}{15}$

∴ $x= 18\ kmh$

Hence, speed of the skater is 18 kmh

6 0

4 years ago