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3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

lyudmila [28]3 years ago

8 0

Answer:

$-\frac{21}{2}$

Step-by-step explanation:

We can solve this system just by summing each side of the equation:

So, both left sides will be sum, and both right sides too.

The resulting expression will be:

$(3-y)+(3-y) = 6+21$

Ordering and solving both sides:

$6-2y=27\\-2y=27-6\\y=\frac{21}{-2}$

Hence, the value to the system is $-\frac{21}{2}$

It's important to combine both equation, because the exercise is asking for the solution of the system.

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Anil completes the 72km journey between Bristol and Cardiff in 48 minutes. He then drives 69km from Cardiff to Swansea at an ave

Sergeeva-Olga [200]

Step-by-step explanation:

we simply need to get the total distance and the total time and put them into relation, norming it to distance in 1 hour. after all, speed is always an average number over a period of time (even if it is a tiny period of time).

the total distance is

72 + 69 = 141 km

he drove 69 km going 60 km/h.

how much time did he need ?

we need to get the hours out of an expression of km and h.

so, we need to do

69 km × 1/60 km/h = 69 h / 60 = 69 minutes = 1.15 hours =

= 1 h 9 minutes

so, the total time was

48 + 69 = 117 minutes = 117/60 = 1.95 hours

the average speed for the whole trip was then

141 km / 1.95 h = 141/1.95 km / 1 h = 72.30769231... km/h

3 0

1 year ago

Your subtotal at the store was $58.89. You have a 30% off coupon. If the sales tax rate is 5.5%, what is the total price for you

Mars2501 [29]

Answer:

$43.48

Step-by-step explanation:

58.89x.30=17.68

58.89-17.68=41.21

41.21x.055=2.27

41.21+2.27= $43.48

4 0

2 years ago

Read 2 more answers

Solve the equation. 5d = 17.1 12.1 22.1 85.5 3.42

Rudiy27

Hello there!

5d = 17.1

The equation is asking you to find the value for "d". How to do that? Well, all you have to do is divide both side by 5.

5d/5 = 17.1

d = 3.42

That's your answer!

You can even double check your work, if you want to. How? Well, you just need to replace 3.42 where it belongs.

5(3.42) = 17.1

17.1 = 17.1

True!

Let me know if you have additional questions. As always, it is my pleasure to help students like you!

7 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST!!

VMariaS [17]

Answer:

$A(-1,4)\to A''(-1,-1)$

$B(0,2)\to B''(1,0)$

$C(1,2)\to C''(1,1)$

$D(-2,4)\to D''(-1,2)$

Step-by-step explanation:

The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).

The transformation rule for 90° counterclockwise rotation is

$(x,y)\to(-y,x)$

This implies that:

$A(-1,4)\to A'(-4,-1)$

$B(0,2)\to B'(-2,0)$

$C(1,2)\to C'(-2,1)$

$D(2,4)\to D'(-4,2)$

This is followed by a translation 3 units to the right.

This also has the rule: $(x,y)\to (x+3,y)$

$A'(-4,-1)\to A''(-1,-1)$

$B'(-2,0)\to B''(1,0)$

$C'(-2,1)\to C''(1,1)$

$D'(-4,2)\to D''(-1,2)$

Therefore:

$A(-1,4)\to A''(-1,-1)$

$B(0,2)\to B''(1,0)$

$C(1,2)\to C''(1,1)$

$D(-2,4)\to D''(-1,2)$

3 0

3 years ago

Your carry on bag can weigh at most 40 ponds. Write and solve an inequality to represent how much more weight you can add to the

Alborosie

Answer:

82ibs - 40ibs = 22ibs

Step-by-step explanation:

5 0

3 years ago