Jamie earned $25,000 as an early childhood teacher in the Lindbergh School District. She was promoted to a sixth grade teaching position that included an 80% raise. What will she earn as a new sixth grade teacher?

Answers

Answer 1

Answer: 45,000 would be her new salary.25,000 × .8 = 20,000.20,000 + 25,000 = $45,0000.

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Please help! Thank youu

Does the residual plot suggest a linear relationship?

Answers

Answer:

Step-by-step explanation:

A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t. A g= 0.4t
B t= 0.4G
C g=2.5t
D t=2.5g
E g= 2/5 t

Answers

The correct options are (A), (D) and (E).

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

Given that,

The time taken to fill 2 gallon bucket is 5 seconds.

Suppose the number of gallons be g.

And, the time in seconds is t.

The given options are considered one by one for the given case as,

(A) g = 0.4 t

Substitute g = 2 and t =5 in the above expression to get,

LHS = 2

RHS = 0.4 × 5

= 2

Since LHS = RHS, the given option represent the proportional relationship.

(B) t= 0.4g

Substitute g = 2 and t =5 in the above expression to get,

LHS = 5

RHS = 0.4 × 2

= 0.8

Since LHS ≠ RHS, the given option does not represent the proportional relationship.

Substitute g = 2 and t =5 in the above expression to get,

LHS = 2

RHS = 2.5 × 5

= 12.5

Since LHS ≠ RHS, the given option does not represent the proportional relationship.

(D) t = 2.5g

Substitute g = 2 and t =5 in the above expression to get,

LHS = 5

RHS = 2.5 × 2

= 5

Since LHS = RHS, the given option represents the proportional relationship.

(E) g= 2/5 t

Substitute g = 2 and t =5 in the above expression to get,

LHS = 2

RHS = 2/5 × 5

= 2

Since LHS = RHS, the given option represents the proportional relationship.

Hence, the correct relationship is represented by options (A), (D) and (E).

To know more about linear equation click on,

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Answer:

I beleive it should be

A. g = 0.4t

And

D. t = 2.5g

Sorry if i'm wrong though! Let me know if is correct!

Solve the equation
- 1
- m - 7 = 5
3

Answers

1/3m-7=5

One solution was found :

m = 36
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/3*m-7-(5)=0

Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

1
((— • m) - 7) - 5 = 0
3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m - (7 • 3) m - 21
——————————— = ——————
3 3
Equation at the end of step 2 :

(m - 21)
———————— - 5 = 0
3
Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(m-21) - (5 • 3) m - 36
———————————————— = ——————
3 3
Equation at the end of step 3 :

m - 36
—————— = 0
3
Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

m-36
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
m-36 = 0

Solving a Single Variable Equation :

4.2 Solve : m-36 = 0

Add 36 to both sides of the equation :
m = 36

One solution was found :

m = 36

I happen this help

What is 783,264 rounded to the nearest ten thousand