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user100 [1]
2 years ago
8

Tom babysat for 4 1/2 hours. If he charges $8 an hour, how much will he earn?

Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

$36

Step-by-step explanation:

4.5 * 8 = 36

4 * 8 = 32

1/2 of an hour would be 1/2 of 8= 4

4+32 = $36

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NEED HELP ON THIS QUESTION
Tom [10]
Answer: 288

Workings : 16 x 12 =192 (for bottom rectangle bit) 12x 16 =192 then divide 192 by 2 =96 add them together and its 288
3 0
3 years ago
Get brainly if right!!
juin [17]

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u

Speed of current = v

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045

v = 0.5205

Now the time taken by the un powered raft to cover this distance

Because un powered raft travel with the speed of the current.

T = 192.12 hr

Therefore the  time taken by the un powered raft to cover this distance is

T = 192.12 hr

4 0
3 years ago
Read 2 more answers
The three vertices of a triangle drawn on a complex plane are represented by 0 + 0i, 4 + 0i, and 0+ 3i.
QveST [7]
Thank you for posting your question here at brainly. Below is the solution for the above problem. I hope the answer will help you. 

<span>a² + b² = c²
3² + 4² = c²
25 = c²
c = 5</span>
4 0
3 years ago
NO LINKS!!! What is the equation of these two graphs?​
S_A_V [24]

Answer:

\textsf{1.} \quad y=-\dfrac{1}{30}x^2+\dfrac{1}{2}x+\dfrac{68}{15}\:\:\textsf{ where}\:\:x \geq \dfrac{15-\sqrt{769}}{2}\\\\\quad \textsf{or} \quad y=2\sqrt{x+5}

\textsf{2.} \quad y=-|x+1|+5

Step-by-step explanation:

<h3><u>Question 1</u></h3>


<u>Method 1 - modelling as a quadratic with restricted domain</u>


Assuming that the points given on the graph are points that the <u>curve passes through</u>, the curve can be modeled as a quadratic with a limited domain.  Please note that as the x-intercept has not been defined on the graph, I am not including this in this first method.

Standard form of a quadratic equation:

y=ax^2+bx+c

Given points:

  • (-4, 2)
  • (-1, 4)
  • (4, 6)

Substitute the given points into the equation to create 3 equations:

<u>Equation 1  (-4, 2)</u>

\implies a(-4)^2+b(-4)+c=2

\implies 16a-4b+c=2

<u>Equation 2  (-1, 4)</u>

\implies a(-1)^2+b(-1)+c=4

\implies a-b+c=4


<u>Equation 3  (4, 6)</u>

\implies a(4)^2+b(4)+c=6

\implies 16a+4b+c=6

Subtract Equation 1 from Equation 3 to eliminate variables a and c:

\implies (16a+4b+c)-(16a-4b+c)=6-2

\implies 8b=4

\implies b=\dfrac{4}{8}

\implies b=\dfrac{1}{2}

Subtract Equation 2 from Equation 3 to eliminate variable c:

\implies (16a+4b+c)-(a-b+c)=6-4

\implies 15a+5b=2

\implies 15a=2-5b

\implies a=\dfrac{2-5b}{15}

Substitute found value of b into the expression for a and solve for a:

\implies a=\dfrac{2-5(\frac{1}{2})}{15}

\implies a=-\dfrac{1}{30}

Substitute found values of a and b into Equation 2 and solve for c:

\implies a-b+c=4

\implies -\dfrac{1}{30}-\dfrac{1}{2}+c=4

\implies c=\dfrac{68}{15}

Therefore, the equation of the graph is:

y=-\dfrac{1}{30}x^2+\dfrac{1}{2}x+\dfrac{68}{15}

\textsf{with the restricted domain}: \quad x \geq \dfrac{15-\sqrt{769}}{2}

<u>Method 2 - modelling as a square root function</u>

Assuming that the points given on the graph are points that the <u>curve passes through</u>, and the x-intercept should be included, we can model this curve as a <u>square root function</u>.

Given points:

  • (-4, 2)
  • (-1, 4)
  • (4, 6)
  • (0, -5)

The parent function is:

y=\sqrt{x}

Translated 5 units left so that the x-intercept is (0, -5):

\implies y=\sqrt{x+5}

The curve is stretched vertically, so:

\implies y=a\sqrt{x+5} \quad \textsf{(where a is some constant)}

To find a, substitute the coordinates of the given points:

\implies a\sqrt{-4+5}=2

\implies a=2

\implies a\sqrt{-1+5}=4

\implies 2a=4

\implies a=2

\implies a\sqrt{4+5}=6

\implies 3a=6

\implies a=2

As the value of a is the same for all points, the equation of the line is:

y=2\sqrt{x+5}

<h3><u>Question 2</u></h3>

<u>Vertex form of an absolute value function</u>

f(x)=a|x-h|+k

where:

  • (h, k) is the vertex
  • a is some constant

From inspection of the given graph:

  • vertex = (-1, 5)
  • point on graph = (0, 4)

Substitute the given values into the function and solve for a:

\implies a|0-(-1)|+5=4

\implies a+5=4

\implies a=-1

Substituting the given vertex and the found value of a into the function, the equation of the graph is:

y=-|x+1|+5

7 0
1 year ago
What are the values of x and y?
mrs_skeptik [129]
I hope this helps. X=17 and y=5

3 0
2 years ago
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