Question #3

The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's spri

MrRa [10]

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

6 0

3 years ago

Which figure represents an undefined term?

sergeinik [125]

Answer: 4th figure , where XY is a line.

Step-by-step explanation:

There are 3 undefined terms : 1) point 2) line 3 ) plane

From up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."

The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."

The third figure is a joint of two rays and they are making an angle which is again an defined term.

The last figure is representing a line which has no endpoints and is an undefined term.

Hence, the last figure is representing an undefined term "line".

7 0

3 years ago

Suppose that Paolo and Sharon are the only consumers of ice cream cones in a particular market. The following table shows their

Rudiy27

Suppose that Paolo and Sharon are the only consumers of ice cream cones in a particular market. The following table shows their monthly demand schedules: Price Paolo’s Quantity Demanded Sharon’s Quantity Demanded (Dollars per cone) (Cones) (Cones) 1 8 16 2 5 12 3 3 8 4 1 6 5 0 4 On the following graph, plot Paolo’s demand for ice cream cones using the green points (triangle symbol). Next, plot Sharon’s demand for ice cream cones using the purple points (diamond symbol). Finally, plot the market demand for ice cream cones using the blue points (circle symbol). Note: Line segments will automatically connect the points. Remember to plot from left to right. Paolo’s Demand Sharon’s Demand Market Demand 0 4 8 12 16 20 24 6 5 4 3 2 1 0 PRICE (Dollars per cone) QUANTITY (Cones)

4 0

3 years ago

Help me fast please.<br>What are the advantages and disadvantages of using a double-bar graph?

tester [92]

This type or graph is used to show comparisons between values, with a bar representing each separate value. Categories or groups are commonly plotted on the horizontal axis (axis X) and a quantitative or numerical scale is plotted on the vertical axis (axis Y). Bar graphs are used to plot both continuous and discontinuous, or discrete, data.

advantages: show each data category in a frequency distribution, display relative numbers/proportions of multiple categories, summarize a large amount of data in a visual, easily intepretable form, make trends easier to highlight than tables do, estimates can be made quickly and accurately, permit visual guidance on accuracy and reasonableness of calculations, accessible to a wide audience

disadvantages: often require additional explanation, fail to expose key assumptions, causes, impacts and patterns, can be easily manipulated to give false impressions

4 0

3 years ago

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The tile along the edge of a triangular community pool needs to be replaced. Which expression represents the total perimeter of

topjm [15]

The total perimeter of the pool edge $\boxed{12{x^2} + 15}$ .Option A is correct.

Further Explanation:

The formula of area of square can be expressed as follows,

${\text{Area}} = \dfrac{1}{2} \times \left( b \right) \times \left( h \right)$

The formula of perimeter of the triangle can be expressed as follows,

$\boxed{{\text{Perimeter}} = 3 \times s}$

Here, s represents the side of square.

Given:

The options are as follows,

A. ${12x^2} + 15$

B. ${20x^2} + 25$

C. ${12x^2} + 8x +25$

D. ${24x^2} + 16x + 50$

Explanation:

Option A is ${12x^2} + 15.$

12 and 15 are the multiple of 3.

$\begin{aligned}{\text{Perimeter}} &= 12{x^2} + 15\\&= 3\left( {4{x^2} + 5} \right)\\\end{aligned}$

Therefore, the perimeter of the pool is ${12x^2} + 15.$

The total perimeter of the pool edge $\boxed{12{x^2} + 15}$ .Option A is correct.

Option A is correct.

Option B is not correct.

Option C is not correct.

Option D is not correct.

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: tile, edge, triangular, community pool, replaced, expression, total perimeter, pool edge, length, square, tile, polynomial expression, area, outermost tile, square tile, side of square, width, breadth, area of rectangle, dimension, measure of sides, dimensions of rectangle, expression, square.

7 0

4 years ago

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