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dedylja [7]
3 years ago
15

5. A cooler holds(15 liters of water. About how many gallons does it hold?​

Mathematics
1 answer:
motikmotik3 years ago
5 0
3.96 gallons, so about 4
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The perimeter of XYZ is ___ units.
In-s [12.5K]

Look at the picture.

ZY = 5+3=8

For XY and ZX use the Pythagorean theorem.

XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=\sqrt{25}\\\\XY=5

ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=\sqrt{41}

The perimetero fo XYZ:

P_{\triangle XYZ}=8+5+\sqrt{41}=\boxed{13+\sqrt{41}}

7 0
3 years ago
What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?
CaHeK987 [17]

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}

Step 3: the graph the point

4 0
2 years ago
You buy a total of 25 burgers and tacos for $67.50. The burgers cost $3.50 each and the tacos cost $2.25 each. Find the number o
Ahat [919]

Answer: you bought 9 burgers and 16 tacos

Step-by-step explanation:

Let x represent the number of burgers that you bought.

Let y represent the number of tacos that you bought.

You buy a total of 25 burgers and tacos. It means that

x + y = 25

The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that

3.5x + 2.25y = 67.5- - - - - - - - - - - - 1

Substituting x = 25 - y into 1, it becomes

3.5(25 - y) + 2.25y = 67.5

87.5 - 3.5y + 2.25y = 67.5

- 3.5y + 2.25y = 67.5 - 87.5

- 1.25y = - 20

y = - 20/ - 1.25

y = 16

x = 25 - y = 25 - 16

x = 9

5 0
3 years ago
Each line represents a proportional relationship. Write an equation for each line. Show your work.
tiny-mole [99]

Answer:

The equation of line a is y = x

The equation of line b is y =  \frac{2}{3} x

Step-by-step explanation:

The equation of the proportional is y = m x, where

  • m is the slope of the line (constant of proportionality)

The rule of the slope of a line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

∵ Line a passes through points (0, 0) and (3, 3)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = \frac{3-0}{3-0}=\frac{3}{3}

∴ m = 1

→ Substitute in the form of the equation above

∴ y = (1)x

∴ y = x

∴ The equation of line a is y = x

∵ Line b passes through points (0, 0) and (3, 2)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-0}{3-0}=\frac{2}{3}

∴ m = \frac{2}{3}

→ Substitute in the form of the equation above

∴ y = (\frac{2}{3}) x

∴ y =  \frac{2}{3} x

∴ The equation of line b is y =  \frac{2}{3} x

7 0
3 years ago
On the Venn diagram, which would be classified as an IRRATIONAL number?
AnnyKZ [126]

Answer:

The correct answer is B. 2π

Step-by-step explanation:

A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.

-√4 = -2, which is a rational number

2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)

2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)

√225 is 15, which is a rational number

Therefore, the only irrational option is option B. 2π, which is your answer.

Hope this helps!

5 0
3 years ago
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