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3 years ago

Sara’s boss informed her she is getting a 5% raise. She currently makes $22 per hour. What is her new hourly wage?

Mathematics

2 answers:

Svet_ta [14]3 years ago

5 0

22(0.05) = 1.1
You have to add this new amount of money to the old so 22+1.1

givi [52]3 years ago

3 0

Answer:

Her new hourly wage would be $23.10

Step-by-step explanation:

First you want to find out how much her raise now is in dollars:

0.05 x 22 = 1.10 (Turn the 5% into a decimal by moving the dot two places to the left)

Now add that to what she makes per hour:

1.10 + 22.00 = $23. 10

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The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm,

Nana76 [90]

Answer:

Y intercept of this function is 2 which is the height of a plant at the time x = 0 or the height of a plant when kept in sunlight.

Step-by-step explanation:

In the given function y = (2 + 4x), x is the number of hours a plant kept in sunlight and y is the height in mm.

Since this equation is in the form of equation of straight line y = mx +c in which m denotes gradient of the line and c is y intercept.

In y = 4x + 2, y intercept of the equation is 2 which means when a plant was kept in sunlight its height was 2 mm.

7 0

3 years ago

Z varies directly with x and inversely with y. When x=6 and y=2, .z=15. Write function that models variation. Then, find z when

tester [92]

$\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{ k }}x
\end{array}\\ \quad \\$

$\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}$

$\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
\end{cases}\implies 15=\cfrac{k\cdot 6}{2}\implies 30=6k$

$\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
\textit{what's "z" when }
\begin{cases}
x=4\\
y=9
\end{cases}\implies z=\cfrac{5\cdot 4}{9}$

4 0

4 years ago

Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2

Lynna [10]

The equivalent expression to the given expression is $\mathbf{=-(\dfrac{7}{4}x+5)}$

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

$=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)$

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

$=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2$

$=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7$

$=\dfrac{1}{2}x -\dfrac{9}{4}x -5$

$=-\dfrac{7}{4}x-5$

$\mathbf{=-(\dfrac{7}{4}x+5)}$

Learn more about solving algebraic expressions here:

brainly.com/question/4344214

#SPJ1

5 0

2 years ago

What is the input value other than 7 for which g(x)=4

Vsevolod [243]

<u>Given:</u>

It is given that the value of the graph when the input 7 is $g(x)=4$

We need to determine the value of x when $g(x)=4$

<u>Value of x when </u> $g(x)=4$ <u>:</u>

The value of x can be determined by using the graph.

From the graph, we need to determine the value of x when $g(x)=4$ other than the value x = 7.

This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.

Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.

Therefore, the input value is x = -8 which makes $g(x)=4$

Hence, the input value other than 7 for which $g(x)=4$ is x = -8.

7 0

3 years ago

the point slope form of the equation of the line that passes through (-4 -3) and (12, 1) is y - 1 = 1/4 (x - 12). what is the st

Sergeeva-Olga [200]

Standard Form is ...

ax + by = c

where a ≥ 0, b > 0 (if a=0), and {a, b, c} are mutually prime integers (unless irrational numbers are involved).

You can get there from where you're starting in a couple of steps. Multiply by the least common denominator of any fractions. (Here, you multiply by 4.) Then put the variable terms on the opposite side from the constant term. Make sure the leading coefficient is positive.

... 4y -4 = x -12

... x -4y = 8 . . . . add 12-4y

8 0

3 years ago