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3 years ago

How do you do systems of equations ?

Mathematics

1 answer:

Arada [10]3 years ago

8 0

There are 2 methods you are taught in Middle School.

Elimination and Substitution.

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Rita paid $82 for 5 trees and 1 shrub. Lilly bought 2 trees and 1 shrub for $37. Find the cost per tree and the cost per shrub.

N76 [4]

Answer:

trees cost $15

Shrub cost $7

Step-by-step explanation:

Given data

Rita paid $82 for 5 trees and 1 shrub

5x+y= 82---------1

Lilly bought 2 trees and 1 shrub for $37

2x+y= 37----------2

from 1

y= 82-5x

put the value of y in 2

2x+82-5x= 37

2x-5x= 37-82

-3x=-45

x= 45/3

x=$15

put the value of x in 1

5(x)+y= 82

5*15+y=82

75+y=82

y=82-75

y=$7

Hence, trees cost $15

Shrub cost $7

4 0

3 years ago

Graph the linear function.<br> f(x) = -2<br> HELP PLEASE!!

Oliga [24]

Need a picture to answer

5 0

3 years ago

A bag contains 70 pencils out of which 15 are green and 30 blue.(i)How many pencils of other colours. are in the bag?(ii)A penci

Bas_tet [7]

Answer:

i) 25

ii) 30:70; 30 out of 70 pencils will be blue.

Step-by-step explanation:

i) 70 - (15+30)= 25 other colors in the bag.

ii) 30:70

4 0

3 years ago

Pls help i cant get this question :(

sukhopar [10]

Answer:

Step-by-step explanation:

X<2

Everything before 2 on the X-Axis will be shaded.

< are broken lines, ≤ are solid lines.

3 0

2 years ago

State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay

marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement $p \rightarrow q$ or equivalent "If p then q"

The rule for Converse is: Interchange the two statements.
The rule for Inverse is: Negative both statements.
The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

$q \rightarrow p$

Inverse: If it doesn't snows tonight, then I will not stay at home.

$\sim p \rightarrow \sim q$

Contrapositive: If I will not stay at home then it doesn't snows tonight.

$\sim q \rightarrow \sim p$

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

$q \rightarrow p$

Inverse: I don't go to the beach whenever it is not a sunny summer day.

$\sim p \rightarrow \sim q$

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

$\sim q \rightarrow \sim p$

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

$q \rightarrow p$

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

$\sim p \rightarrow \sim q$

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

$\sim q \rightarrow \sim p$

7 0

3 years ago