What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6

Answers

Answer 1

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

[tex](x,y) = (2,-2)[/tex]

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

[tex](x,y) = (2,-2)[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]


Related Questions

Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps

Answers

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.

What is the balance in Zac's account?

Answers

Is the balance is dee’s account 34% less then AL’s and also don’t trust anyone who tells you to click on a link it’s a virus

Prasad worked 15 hours this week and earned $195. Assuming he is paid by the hour, how much will Prasad earn next week if he is scheduled to work 12 hours?

Answers

Answer:

$156

Step-by-step explanation:

First you must find out the number of dollars Prasad receives per hour.

Since he earns $195 in 15 hours we can do 195/15 = 13 to find out the amount of dollars he earns per hour which is $13.

Next we must find out how much money he receives when he work for 12 hours so we simply do 13 (payment per hour) * 12 (amount of hours he works) which will give us $156!

This makes sense cuz 156 is a little bit less than 195 and ofc 12 is a little bit less than 15!

Prasad earn $156 next week if he is scheduled to work 12 hours

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Prasad worked 15 hours this week and earned $195

We have to find the amount earned by prasad for work 12 hours

Let us form an proportional equation.

Let x be the amount earned for 12 hours

15/195 = 12/x

Apply cross multiplication

15x=195(12)

15x=2340

Divide both sides by 15

x=2340/15

x=156

Hence, Prasad earn $156 next week if he is scheduled to work 12 hours

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ3

can someone check my answer and make sure it is correct??

Answers

Answer:

I worked it out and got 19339.64 but there is a high chance I could be wrong so maybe your right.

Which of the following describes the graph of y=3sqrt27x-54+5

Answers

Answer:

y = 3 √ 27 x − 54 + 5

Step-by-step explanation:

what r the answer choices?

and does this help?

Horizontal translation - 2 units right.

Vertical translation - 5 units up

Stretch / compression - stretched by a factor of 3.

Reflection - not reflected.

is x = 10 part of the solution 2x + 5 > 23? why or why not?

Answers

Answer: Yes

Step-by-step explanation: 2 x 10 = 20, then add the 5 to get 25, which is larger then 23 :)

1.) Mr. Sno-Cone tracked how many snow cones he sold during a week. What is the range of
his data?
25
30
28
22
32
40
31
Number
Sold

Answers

the range is 6 because 31-25 = 6

The rectangular prism shown is made up of unit cubes. Each unit cube has a length of one inch, a width of one inch, and a height of one inch. The volume of the rectangular prism is cubic inches. One unit cube is placed on top of each unit cube in the top layer. The volume of the new prism is cubic inches. Three layers of unit cubes are removed from the new rectangular prism. The final volume is cubic inches.

Answers

Answer:

cube" (and any subsequent words) was ignored because we limit queries to 32 words.

I would like help on this math problem please!

Answers

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

Hey can you help me fast!!! I will give brain list if the answer is right!

Answers

Answer:

Exact form:

-165/16

Decimal Form:

-10.3125

Mixed number Form:

-10 5/16

Answer:

-165/16

Step-by-step explanation:

= -5(2 1/16)

= -5(33/16)

= -165/16

Can someone help me find the volume of this shape please?

Answers

Answer:

the answer is 11.7

Step-by-step explanation:

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

For Every 1 dog there are 4 cats or 1:4

Hope this helps ヾ(•ω•`)o - Six

x + y = 7
5x - 2y = -7

Answers

Answer:

x=1 y=6

Step-by-step explanation:

make equation 3 from equation 1

substitute equation 3 from 2

find x or y from equation 3

Quickly please I can't answer it and I'm running out of time

Answers

362.8 meter^2

(rounded by the nearest tenth .79>.8)

Formula:

A=2⋅π⋅r⋅h+2⋅π⋅r^2

Equation:

2⋅ 3.14⋅ 5.3⋅ 5.6+ 2⋅ 3.14⋅ 5.3^2 =362.8 m^2

A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball?

A) 19.69 in3
B) 92.53 in3
C) 434.89 in3
D) 3479.14 in3

Answers

B is the correct answer

Jenny’s mom gave her one dollar on the day she was born. She plans to triple the amount she gives her every day. How much will she receive on her 10th day?

Answers

Answer:

19,683

Step-by-step explanation:

Choose the situation in which using exact numbers is the MOST appropriate.
A)
You are trying to pay the cashier.
B)
You are trying find out how long it will take to cook a turkey.
You are trying figure out how much gasoline it will take fill your tank.
D)
You are planning a 200 mile trip and you want to include time for lunch.

Answers

Answer:

A, you need to pay with exact change

what is the answer of -13=15+d ?​

Answers

Answer:

d= -28..................

Five angles of a hexagon measure 119, 129, 104, 139 and 95 degrees. What is the measure of the sixth angle?

Answers

The final angle would be 134 degrees because a hexagon has 720 degrees. How you solve this problem is by adding all of the other angles and subtract the number you get from 720.

Which is true about the mapping shown below?

Answers

the answer is c because of the reasoning it gives

Answer:

The answer is going to be C.

The height in feet,h , of a model rocket t seconds after launch is given by the equation h(t) = 3+70t-16t^2.

Answers

Answer:

speed of the rocket is 6feet

Step-by-step explanation:

Complete question

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Note that the average rate is also known as the speed

Average rate = h(3)-h(1)/3 - 1

h(3) = 3+70(3) - 16(3)^2

h(3) = 3 + 210 - 144

h(3) = 69

h(1) = 3+70(1) - 16(11)^2

h(1) = 3 + 70 - 16

h(1) = 73 -16

h(1) = 57

Average rate = 69-57/3-1

Average rate = 12/2

Average rate = 6ft/s

This shows  that the speed of the rocket is 6feet

Answer:

If you're looking for the answer for edge, its;

B. The rocket is at a greater height when t = 3 than when t = 1.

Step-by-step explanation:

edg- answers ;p

what is the rate of change of y=3/2 x

Answers

Answer:

3/2

Step-by-step explanation:

rate of change (m) can be found in the equation, y= mx+b

So, the rate of change is 3/2

A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slower than twice the speed of the motorcycle.

Answers

Answer:

speed of motorcycle = 40 mph

speed of car = 50 mph

Step-by-step explanation:

Here is the complete question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.

Speed = distance / time

This question would be solved using simultaneous equation

let m =  average speed of the motorcycle

c = average speed of the car

c = 2m - 30  equation 1

20 =(c - m) x 2 equation 2

insert equation 1 into equation 2 and divide through by 2

10 = (2m - 30) - m

solve for m

m = 40 mph

substitute for m in equation 1

2(40) - 20 = 50 mph

Un metro cúbico equivale a 1000 litros de capacidad y un decímetro cúbico a un litro ¿Cuántos litros cabrán en una piscina de 12,5 metros cúbicos?

Answers

Answer:

12,500 liters

Step-by-step explanation:

Given that

One cubic meter = 1000 liters

One cubic decimeter = 1 liter

We need to find out the number of liters fit in a 12.5 cubic meter

So

As it is mentioned that

One cubic meter = 1000 liters

So for 12.5 cubic meter

The number of liters would be

= 1000 × 12.5

= 12,500 liters

what is 1 1/3 times 1 3/4 T-T

Answers

Answer:

The answer is: 7/3 or if ya want it simplified ( 2 1/3)

~ hope this helped, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

2 and 1/3

Step-by-step explanation:

Pls help
Pls help
Pls help

Answers

Answer:

Step-by-step explanation:

this will be the outter circle minus the inner circle for the area of the sidewalk

area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex][tex]11^{2}[/tex] = 380.1327

[tex]\pi[/tex][tex]9^{2}[/tex] = 254.469

380.1327 - 254.469 =125.6637062[tex]m^{2}[/tex]

Someone help please!!! I don't understand. (20 points)

Answers

Perimeter = 198 cm24 + 21 + 6 + 37 + 41 + 37 + 11 + 21 = 198Area = 2,021 cm²CD = 37DE = 4137 x 41 = 1,517AB = 21HA = 2421 x 24 = 5041,517 + 504 = 2,021(2021 lol)

What is (x-7)(x-4) ????????

Answers

Answer:

x^2 -11x+28

Step-by-step explanation:

See Image below. I hoped this helped :)

w - 4 > -10
Solve the inequality for W

Answers

The answers is w>-6 you’re welcome

Hey can you help me fast!!

Answers

the answer is 30 it’s simple if you divide it into boxes :)
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