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3 years ago

wilson jarred 45 liters of jam after 5 days. how much jam did wilson jar if he spent 7 days making jam? solve using unit rates.

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day

Hope this helps!

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Find the Slope without graphing<br> (-4,3) (5,6)

CaHeK987 [17]

Use the equation y2-y1/x2-x1

This gets you the equation
6-3/5-(-4) which equals 3/9

Simplify it to get the actual slope

So the slope is 1/3x

6 0

3 years ago

Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)

Xelga [282]

Answer:

$\frac{x^2}{16}-\frac{b^2}{4}=1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4$

The foci c is at +/-2√5, using c² = a² + b²:

$c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2$

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1$

5 0

3 years ago

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to

stealth61 [152]

Answer:

Step-by-step explanation: 17.6 ft

3 0

3 years ago

Read 2 more answers

An average drop of blood contains about 1.6×104 white blood cells. A rare drop of blood contains about 5×104 white blood cells.

Bas_tet [7]

Answer:

353.6

Step-by-step explanation:

White blood cells in average drop of blood = 1.6 * 104 = 166.4

White blood cels in rare drop of blood = 5 * 104 = 520

Difference between the number of white blood cells in a rare drop of blood and the number of white blood cells in an average drop of blood

= 520 - 166.4 = 353.6

7 0

3 years ago

X-y= 0

Sloan [31]

X + y = -2
x = -2-y

x-y=0
-2-y - y = 0
-2 -2y = 0
-2y = 2
y = -1

x + y = -2
x - 1 = -2
x = -1

Therefore, the coordinates are (-1, -1).

3 0

3 years ago