All categories

3 years ago

2. Claudia makes $16.47 per hour and works for 39 hours. What is her

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

Answer:

642.33

Step-by-step explanation:

16.47x39=642.33

You might be interested in

Help me with question a please ! With full workings !

frosja888 [35]

A)

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
P&({{ 0.5}}\quad ,&{{ 0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf QP=\sqrt{(0.5-0)^2+(0-2)^2}\implies QP=\sqrt{0.5^2+2^2}
\\\\\\
QP=\sqrt{\left( \frac{1}{2} \right)^2+4}\implies QP=\sqrt{ \frac{1^2}{2^2}+4}\implies QP=\sqrt{\frac{1}{4}+4}
\\\\\\
QP=\sqrt{\frac{17}{4}}\implies QP=\cfrac{\sqrt{17}}{\sqrt{4}}\implies QP=\cfrac{\sqrt{17}}{2}$

b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)

c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
R&({{ -0.5}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-0.5-0}\implies \cfrac{-2}{-0.5}$

$\bf m=\cfrac{\frac{-2}{1}}{-\frac{1}{2}}\implies \cfrac{-2}{1}\cdot \cfrac{2}{-1}\implies 4
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=4(x-0)\implies y=4x+2\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

Using one coordinate plane, graph the functions y=−4x+1 and y=2x−3, and find the coordinates of the point of intersection. Now f

Wittaler [7]

f(x) = -4x + 1

g(x) = 2x - 3

Set each other equal and solve for x.

-4x + 1 = 2x - 3

-6x = -4

x = 2/3

substitute x into either f or g and solve for y

-4(2/3) + 1

y = -1.667...

Intersect at

(.667,-1.667)

7 0

3 years ago

The graph of y = x2 - 4x is shown on the grid.

ratelena [41]

It would be from 0 < x < 4 as the question is basically asking when is the function below the y value of 0, so below the x-axis

5 0

3 years ago

I need help with A-I on #1

kumpel [21]

Answer:

1a. 104

1b. 8x

1c. 13y

1d. xy

1e. 3+y

1f. x+7

1g. x-y

1h. x divided by y

1i. x+3

1j. 3x

1k. y-5

1l. 1/5y

2a. 26

2b. x+9

7 0

3 years ago

It takes 26 pounds of seed to completely plant a 3-acre field. How many pounds of seed are needed per acre?

satela [25.4K]

Answer:

3.25 pounds per acre

Step-by-step explanation:

We want to find how much pounds of seed is need per acre. In division, with a numerator and denominator, this works perfectly, with how much we need (of seed) per acre translating into $\frac{26 pounds}{3 acres}$ , with the line representing the per. We can plug this into a calculator to get 3.25 pounds per acre, or $\frac{3.25 pounds}{1 acre}$

3 0

3 years ago