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slava [35]
2 years ago
5

Suppose Z varies directly with X and inversely with Y where X equals 3Y equals one and Z equals six what is the value of Z when

X equals seven and why equals four
Mathematics
1 answer:
Charra [1.4K]2 years ago
8 0

Answer:

k = 2

Z = 3.5

Step-by-step explanation:

Z = kX/Y

Where,

X = 3

Y = 1

Z = 6

Find k

Z = kX/Y

6 = k3/1

Cross product

6 * 1 = 3k

6 = 3k

k = 6/3

k = 2

what is the value of Z when X equals seven and why equals four

X = 7

Y = 4

Z = ?

k = 2

Z = kX/Y

= (2*7)/4

= 14/4

= 3.5

Z = 3.5

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A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15
Nadusha1986 [10]

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric​ acid, hence:

35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric​ acid

35x + 14y ≥ 840

The minimum monthly requirements are 540 pounds of nitrogen, hence:

15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen

15x + 18y ≥ 540

The minimum monthly requirements are 768 pounds of potash, hence:

16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash

16x + 64y ≥ 768

Also, x ≥ 0 and y ≥0.

Therefore the equations are:

35x + 14y ≥ 840

15x + 18y ≥ 540

16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

7 0
2 years ago
You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle
Marat540 [252]

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = \frac{opposite}{adjacent} = \frac{h}{950} ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

8 0
3 years ago
Plz help this one is the last one of the day plz help
Juliette [100K]
We know 20% is 15
and now we find 80%

since 20% x 4 = 80%, we can multiply 15 by 4 to get 80% of 75

15 x 4 = 60

80% of 75 = 60
3 0
2 years ago
1 1/3 x 1 4/9 the product is
natka813 [3]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre
Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow  1\frac{1}{5}\ acres in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow \frac{1}{2}\ acre in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

\frac{\frac{1}{2}}{25}=\frac{x}{60}

Solving for "x", you get:

\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1\frac{1}{5}

Therefore, she can mow  1\frac{1}{5}\ acres in one hour.

3 0
2 years ago
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