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dybincka [34]
3 years ago
12

Caleb got $10 of allowance money and babysat his cousin for $8 per hour this week. He earned a total of $46 this week. Which equ

ation below could be used to determine the number of hours (h) he babysat this week?
Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
The answer to this question is 126 hours
You might be interested in
2. A bag contains 25 paise coins and 50 paise Coins. The number of 25 paise coins is 6 times that of so paise Coins The total va
Karo-lina-s [1.5K]
<h2>~<u>Solution</u> :-</h2>

Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.

  • Hence, we can see that, here, we have been given the linear equation be;

Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .

Hence,

x + 6x = 6

7x = 6

x =  \frac{6}{7}  \\

x = 1.1666667 \approx \: 2

  • Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;

6(2)

  • Hence, the number of 25 paise coins will be <u>12</u>.
6 0
3 years ago
The width of a rectangle is 6 2/3 inches. The length of the is twice it’s width. What so the perimeter of the rectangle?
Nookie1986 [14]
\text {Width = }  6\dfrac{2}{3}  \text { inches}&#10;


The length is twice its width:
\text {Length = } 2 \times 6\dfrac{2}{3} \text { inches}

Change to improper fraction:
\text {Length = }2 \times \dfrac{20}{3} \text { inches}

Combine into single fraction:
\text {Length = } \dfrac{40}{3} \text { inches}


Find Perimeter :
\text {Perimeter = Length + Length + Width + Width}

\text {Perimeter = } \dfrac{40}{3} + \dfrac{40}{3}   + \dfrac{20}{3}   + \dfrac{20}{3} = \dfrac{120}{3}  = 40 \text { inches}


\bf \text {Answer: Perimeter =  40 inches}
6 0
3 years ago
Read 2 more answers
What is the surface area of a sphere with a radius of 5 meters rounded to the nearest square meter
GrogVix [38]
It would probably be 10 or 15
4 0
3 years ago
Helpppppppppppppy pls
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

5 0
3 years ago
1)Why is it impossible for a function to have fewer values in its domain than in its range?
Aneli [31]

<u>Part (1):</u>

For a relation to be called a function, each input must have one and only one corresponding output.

Now, we know that the input of the relation is known as its domain while the output is known as its range.

Based on the above definition, each input (value from domain) has only one output (value from range)

Therefore, the values for domain and range are equal, otherwise, the relation won't be a function


<u>Part (2):</u>

The graph of the function is shown in the attached image.

<u>Now, a linear function:</u>

<u>1- is a straight line.</u> This means that it has neither curved nor sharped bends.

In the graph of the given function, we can see that it has a sharp bend at the point (5,0)

<u>2- has a constant slope all over the graph.</u>

Let's test this condition on our graph:

For the two points (0,5) and (1,4):

slope = \frac{4-5}{1-0} = -1

For the two points (6,1) and (7,2):

slope = \frac{2-1}{7-6} = 1

We can see that the slope is not constant along the whole graph.

Based on the above two conditions, the absolute function is not a linear function


<u>Part(3):</u>

<u>There are two types of proportionality:</u>

1- Direct proportionality: This means that as one value increases, the other would increase at the same rate

<u>Let's check this on the given function:</u>

f (x) = -3x

At x = 1 ..........> f (x) = -3(1) = -3

At x = 2 .........> f (x) = -3(2) = -6

We can note that the condition of direct proportionality is not fulfilled, therefore, the relation is <u>not showing direct proportionality</u>

2- Inverse proportionality: This means that as one value increases, the other would decrease by the same rate.

Inverse proportionality has the general formula: y = \frac{k}{x}

where k is the constant of proportionality.

The given function is: f (x) = -3x

We can note that it does not have the same format as the general formula of the inverse proportionality.

Therefore, the given<u> relation does not show inverse proportionality</u>

Based on the above, we can conclude that the given relation is non-proportional


<u>Part (4):</u>

The graphs are shown in the second attached image

<u>Let's check the givens:</u>

<u>1) y = 9</u>

We know that this would be a line parallel to the x-axis constant at y = 9

Therefore, this choice is correct

<u>2) -2x² + 4</u>

We know that the second degree polynomial gives a curve not a line.

Therefore, this choice is incorrect

<u>3) y = -8 + 3</u>

The general form of the linear line is y = mx + b

The given equation has the same format as the general one.

Therefore, this choice is correct

<u>4) y = 7/x</u>

Again, the general form of the linear line is y = mx + b

The given equation has the a different format than the general one.

Therefore, this choice is incorrect


Hope this helps :)

7 0
3 years ago
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