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charle [14.2K]
1 year ago
9

Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows

how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )

Mathematics
2 answers:
mafiozo [28]1 year ago
8 0

Answer:


Step-by-step explanation:

I took the test and the answer is: <u>y - 29 = -7/2 (x - 6)</u>

Kryger [21]1 year ago
5 0
The given data is
time (h):    2   4   6   8
gallons:  43 36 29 22

A graph of the data shows a linear relationship.
Therefore in slope-intercept form, let
(y - 29)/(x - 6) = m
where m = the slope of the straight line.

Calculate the slope.
m = (43 - 22)/(2 - 8) = -7/2

Answer:  y-29 = - \frac{7}{2} (x-6)

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Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscrip
Vlad [161]

Answer:

The simplified form of the expression is \frac{1}{x^{7} y^{4}}.

Step-by-step explanation:

The expression is:

\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}

The division rule of exponents is:

a^{m}\div a^{n}=a^{m-n}

The negative exponent rule is:

a^{-m}=\frac{1}{a^{m}}

Simplify the expression as follows:

\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]

         =x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}

Thus, the simplified form of the expression is \frac{1}{x^{7} y^{4}}.

8 0
2 years ago
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PLEASES HELP ME GOD BLESS YOU!.
MA_775_DIABLO [31]
The slope intercept form is y=mx+b. m being the rate of the slope (rise over run) so in this case 2/1, or simply 2. b is the y intercept, or where a line passes through the y intercept, in this case it is -1.
3 0
2 years ago
A gallon of Moo Milk costs \$5.12$5.12dollar sign, 5, point, 12. What is the price, in dollars, of an 888 ounce glass of Moo Mil
Sladkaya [172]
The correct statement is:
A gallon of Moo Milk costs $5.12 What is the price, in dollars, of an 8 ounce glass of Moo Milk? There are 128 ounces in 1 gallon.

Solution:
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1 gallon = 128 ounces, so we can write:

Cost of 128 ounces of Moo Milk = $ 5.12

Cost of 1 ounce of Moo Milk = $ 5.12/128 = $ 0.04

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Thus, 8 ounces of Moo Milk will cost $ 0.32
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A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew ke
slamgirl [31]

Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

For almonds

= 288/1000 = 0.288g

For cashew

= 336/1000 = 0.336g

Hence,

0.288 × A + 0.336g × C = ₹216

0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

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0.288A + 235.2 - 0.336A = 216

Collect like terms

0.288A - 0.336A = 216 - 235.2

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A = -19.2/-0.048

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Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

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C = 300g

Therefore, the number of grams of Almonds = 400grams

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6 0
2 years ago
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DENIUS [597]

v=gt,

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t=0 s, v=0 m/s means that object’s initial velocity 0 m/s.

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Rate of change 9.8 means the acceleration due to gravity is 9.8 m/s².

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