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3 years ago

Mark the integer on the thermometer that corresponds to the temperature given

Mathematics

1 answer:

Leno4ka [110]3 years ago

8 0

It would be great if you added an attachment

(I'm answering for the points)

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Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

4 years ago

The cruising speed of a 747 airplane is approximately 9,944 inches per second. What is this speed to the nearest foot per second

NemiM [27]

828.6 repeating (or 829 rounded up) feet per second.

6 0

4 years ago

Read 2 more answers

HELP ME TIMED PLZZ !!!

zaharov [31]

Answer:

There are 77 more third graders than second graders.

Step-by-step explanation:

415-338=x

x=77

6 0

3 years ago

Read 2 more answers

Mandi learned that each 10% of charge on her cell phone gave her an hour and twenty minutes of use. While playing a game today o

Sonja [21]

Answer:

3hrs 12 mins

Step-by-step explanation:

For every 10% charge she gets 1hr 20mins (or 80 mins)

Charge drop = (81% - 57%) = 24%

Since 10% gives 80 mins;

24% gives (24/10) x 80 mins = 192 mins

since 1hr = 60 mins

192 mins = 192/60 = 3hrs 12 mins

3 0

4 years ago

Select all the expressions that are equivalent to 4x + 8

RoseWind [281]

Answer:

2(2x+4) 4(x+2) 2(2x)+2(4)

Step-by-step explanation:

5 0

3 years ago