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3 years ago

Johnny has $12 less than Sarah. Sarah has $35 less than Carla. In total, they have $143. How much money does each of them have?

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Amount with Carla = $ x

Amount with Sarah = x - 35

Amount with Johnny = x - 35 - 12

x + x -35 + x - 35 -12 = 143

3x - 82 = 143

3x = 143 + 82

3x = 225

x = 225/3

x = 75

Amount with Carla = $ 75

Amount with Sarah = 75 - 35 = $ 40

Amount with Johnny = 40 - 12 = $ 28

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A dentist office gives a survey to all wisdom teeth extraction patients asking them to rate the quality of their dental experien

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The correct answer is B. Most patients who have a poor dental experience also have post-extraction complications. This can be shown through the fact that of everyone who had a poor dental experience, 94% said they had post-extraction complication. 94% is obviously most. We can not confidently say that poor dental experiences cause post-extraction problems because we do not know how many people who had a normal or good experience also had problems.

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3 years ago

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In the system if linear equations below a and b are constants.The solution to the systems is 5,1

dalvyx [7]

Answer:

Step-by-step explanation:

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

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hence b = 3 , and a = 7

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2 years ago

4/5 of a number is more than 3/4 of the number by 5.find the numbers

Nastasia [14]

4/5 of x -3/4 of x =5
solution by LCM

16x-15x/20 =5
x/20 =5
x=100
answer 100

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3 years ago

PLSSS HELP MEE SHOW UR WORK!!

kumpel [21]

Answer:

(-3, 13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -4x + 1

11y = x + 146

Step 2: Solve for x

Substitution

Substitute in y: 11(-4x + 1) = x + 146
Distribute 11: -44x + 11 = x + 146
[Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146
[Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x
[Division Property of Equality] Divide 45 on both sides: -3 = x
Rewrite/Rearrange: x = -3

Step 3: Solve for y

Define original equation: y = -4x + 1
Substitute in x: y = -4(-3) + 1
Multiply: y = 12 + 1
Add: y = 13

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3 years ago

Find the slope between these two points: (3, -10) and (-2, -30). Show all of your work. what the answer

Harlamova29_29 [7]

$\huge\text{$m=\boxed{4}$}$

Hey there! Start with the slope formula, where $(x_1,y_1)$ and $(x_2,y_2)$ are the two known points.

$\begin{aligned}m&=\dfrac{y_2-y_1}{x_2-x_1}\\&=\frac{-30-(-10)}{-2-3}\end{aligned}$

Simplify.

$\begin{array}{c|l}\textbf{Solving}&\textbf{Reason}\\\cline{1-2}\\m=\dfrac{-30+10}{-2-3}&x-(-y)=x+y\\\\m=\dfrac{-20}{-5}&\text{Addition and subtraction}\\\\m=\dfrac{20}{5}&\text{The negatives cancel out}\\\\m=\dfrac{4}{1}&\text{Divide the numerator and denominator by $5$}\\\\m=\boxed{4}&\dfrac{x}{1}=x\end{aligned}$

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3 years ago

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