What is the answer for x+y=5 and 3x-y=7 using substitution

Please answer correctly !!!!!! Will mark Brainliest answer !!!!!!!!!!!!!!

Answer:

See below

Step-by-step explanation:

$(x + 15)^2 - 10 = 0\\(x + 15)^2 = 10 \\(x + 15) = \pm\sqrt {10} \\x + 15 = \pm 3.16227766\\x + 15 = \pm 3.16\\x = \pm 3.16 - 15\\x = 3.16 - 15 \: or \: x = - 3.16 - 15\\x = - 11.84\: or \: x = - 18.16\\lesser\: x = \boxed{-18.16}\\\\greater\: x = \boxed{-11.84}\\\\$

6 0

3 years ago

Scientist cindy Grade has developed a new thermometer. Unlike the thermometer developed by Gabriel Fahrenheit were 32°F marks th

Elan Coil [88]

Answer:

Step-by-step explanation:

The two thermometers developed by cindy Grade and Gabriel Fahrenheit are shown in the attached photo

Let x = a certain temperature reading on the Gabriel Fahrenheit's thermometer

Let y = a corresponding temperature reading on the cindy Grade's thermometer

Interpolating the temperatures, it becomes

(212 - 32)/(212 - x) = (150 - 0)/(150 - y)

(212 - 32)(150 - y) = 150(212 - x)

180(150 - y) = 31800 - 150x

2700 - 180y = 31800 - 150x

180y - 150x = 31800 - 27000

180y - 150x = 4800

The scales will agree at a common reading. This is achieved by making x to equal y. Therefore

180x - 150x = 4800

30x = 4800

x = 4800/30 = 160

At a reading of 160, both scales will agree

8 0

3 years ago

(1 point) 6 cards are drawn at random without replacement from a standard deck. Be accurate to 7 decimal places. a) Find the pro

V125BC [204]

Answer:

a) P=0.0000843

b) P=0.0000454

c) P=0.0066113

Step-by-step explanation:

6 cards are drawn at random without replacement from a standard deck.

a) We calculate the probability that all the cards are hearts.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{13}=\frac{13!}{6!(13-6)!}=1716$

Therefore, the probability is

$P=\frac{1716}{20358520}\\\\P=0.0000843$

b) We calculate the probability that all the cards are face cards.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{12}=\frac{12!}{6!(12-6)!}=924$

Therefore, the probability is

$P=\frac{924}{20358520}\\\\P=0.0000454$

c) We calculate the probability that all the cards are even.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{24}=\frac{24!}{6!(24-6)!}=134596$

Therefore, the probability is

$P=\frac{134596}{20358520}\\\\P=0.0066113$

7 0

3 years ago

Chucky grabbed 121212 items in the grocery store that each had a different price and had a mean cost of about \$7.41$7.41dollar

8090 [49]

Answer:

Both the mean and median will decrease, but the mean will decrease more than the median.

Step-by-step explanation:

Removing the wheel of cheese will decrease the median a little bit, because the median shifts from between two data points to the lower of the two data points:

With the wheel of cheese, the median is the middle number, but there's no middle number in this data set! So, to find the median we take the mean of the two middle numbers, $4.79 and $5.19 which is $4.99.

Without the wheel of cheese,

Removing the wheel of cheese will decrease the mean significantly, because the total cost will decrease by $39.99, and the number of items decreases by only 1.

8 0

3 years ago

Read 2 more answers

Find the area of circle Y. The image is represented by circle Y with a sector XYZ that has an area of 85.5 square meters. That s

pochemuha

Answer:

263.08 m²

Step-by-step explanation:

The fraction of circle area that a sector represents is proportional to the central angle.

<h3>Proportion</h3>

circle area/circle angle = sector area/sector angle

circle area / 360° = 85.5 m² / 117°

Multiplying by 360°, we have ...

circle area = (360/117)(85.5 m²) = 263.08 m²

The area of the circle is about 263.08 m².

6 0

1 year ago