Graph a system of two equations that has a single solution of -2,-3

Answers

Answer 1
Answer: One possible system of two equations is ...
x = -2
y = -3 .

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Charlie solved an equation, as shown below:Step 1: 5x = 30 Step 2: x = 30 – 5 Step 3: x = 25 Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points) Part B: How many solutions will this equation have? (4 points)

You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest?

Answers

find 4% and find how many times (years) it takes to get to 200

2500 times 4%=2500 times 0.04=100

100 times how many years=200
divide by 100 both sides
how many years=2


2 years
50 because all you have to do is divide 4 by 200 and it comes up 50 YAY!!!!!!!!!!Hope this helps.

You have this information about ΔABC, ΔDEF, and ΔGHI:AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?
ΔABC and ΔDEF only

ΔGHI and ΔABC only

none of the triangles
ΔABC, ΔDEF, and ΔGHI

Answers

ΔABC, ΔDEF, and ΔGHI

I think all triangles are congruent. 2 sides and 1 angle of each triangle is has the same measure. Making these triangles congruent in SAS theorem.

Answer: ΔABC, ΔDEF, and ΔGHI

Step-by-step explanation:

Given: In ΔABC, ΔDEF, and ΔGHI:

AB = DF               AB = GI

BC = HI                DE = HI

m∠B = m∠D = m∠I

In ΔABC and ΔGHI

AB = GI  [given]

BC = HI  [given]

m∠B =  m∠I  [given]

[ here m∠B and m∠I are the included angle of ΔABC and ΔGHI]

ΔABC ≅ ΔGHI [by SAS congruence postulate]

In ΔABC and ΔDEF

AB = DF [given]

BC = DE [ Since BC = HI  and DE = HI so by transitive property BC = DE]

m∠B =  m∠D  [given]

[ here m∠B and m∠D are the included angle of ΔABC and ΔDEF]

ΔABC ≅ ΔDEF [by SAS congruence postulate]

Now, since ΔABC ≅ ΔGHI and ΔABC ≅ ΔDEF

⇒  ΔGHI ≅ ΔDEF [transitive property]

Hence, all the given triangles ΔABC, ΔDEF, and ΔGHI are con gruent to each other.

Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20 . How many forks and how many spoons did they make?

Answers

let the no of forks be x and no of spoon be y 
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
solving for x and y, we get
multiplying eqn 1 by 5.6 and equation 2 by 1.7 we get
9.52x + 7.28y = 212.24
9.52x + 9.18y = 250.24
subsrtracting eqns we get 
7.28y - 9.18y = 212.24 - 250.24
1.9y = 38
y = 20
x = (37.9 -1.3*20)/1.7
= 7

Which of the following options is a better purchase for a microwave? Option 1: A cash sale for $120 Option 2: $5 down with equal payments of $10 for 15 weeks Option 3: $10 down with equal payments of $5 for 24 months Option 4: $0 down with equal payments of $15 for 9 months A. Option 4 B. Option 3 C. Option 2 D. Option 1

Answers

Answer:

D. Option 1

Step-by-step explanation:

Let's evaluate each option separately:

Option 1 will cost $120.

Option 2:

Total cost  = Down payment + Weekly payment

                  =5+10*15

                  =155

Therefore, option 2 will cost $155 which is worse compared to option 1.

Option 3:

Total cost  = Down payment + Monthly payment

                  =10+5*24

                  =130

Therefore, option 3 will cost $130 which is worse compared to option 1.

Option 4:

Total cost  = Down payment + Monthly payment

                  =0+15*9

                  =135

Therefore, option 4 will cost $135 which is worse compared to option 1.

So the best option is option 1.

So answer is D. Option 1

The first option is a better choice heres why...
option 1) is $120
option 2) is $155
option 3 is $130
option 4) is 135
SO all and all the first payment method is the cheapest option.

Mr.mays drove 20 miles in 24 minutes. At this rate ,how many miles did he drive in 6 minuts

Answers

20 miles .... 24 minutes
x miles ... 6 minutes

We would like to know how many miles did he drive in 6 minutes (x miles). You can calculate this in the following way:

20 * 6 = 24 * x
120 = 24 * x     /24
x = 120 / 24
x = 5 (miles)

The result is 5 miles.

Polygon ABCDEFGH will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A′B′C′D′E′F′G′H′. What will the length of A'H'¯¯¯¯¯¯¯ be?

Answers

A'H'¯¯¯¯¯¯¯=2*3.4 = 6.8

Answer:

6.8 units

Step-by-step explanation: