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Zina [86]
3 years ago
15

y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

y= 201/40

Step-by-step explanation:

y=k (x÷z)

5 = (3÷4)k

cross multiply

20=3k

k= 6.7 or 67÷10

y = 6.7 (x÷z) the law

y = (6÷8) × 6.7

y = 0.75 ×6.7

y= 5.025 or 201÷40

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garik1379 [7]

Answer:

7000

Step-by-step explanation:

8 0
3 years ago
Which ordered pair is a solution of y = x + 4?
TEA [102]

Answer:

Step-by-step explanation:

hello:

D. (9,13)​ because when x=9   so y=9+4 = 13.....(right)

5 0
3 years ago
Read 2 more answers
Help is needed please!
Schach [20]

The distance travelled is 10 m

The velocity gained at the end of the time is 2 m/s

<h3>Motion</h3>

From the question, we are to determine distance travelled and the velocity gained

From one of the equations of motion for <u>linear motion</u>, we have that

S = ut + 1/2at²

Where S is the distance

u is the initial velocity

t is the time taken

and a is the acceleration

First, we will calculate the acceleration

Using the formula,

F = ma

Where F is the force

m is the mass

and a is the acceleration

∴ a = F/m

Where F is the force

and a is the acceleration

From the given information,

F = 50 N

m = 250 kg

Putting the parameters into the equation,

a =  50/250

a = 0.2 m/s²

Thus,

From the information,

u = 0 m/s (Since the object was initially at rest)

t = 10 s

S = 0(t) + 1/2(0.2)(10)²

S = 10 m

Hence, the distance travelled is 10 m

For the velocity

Using the formula,

v = u + at

Where v is the velocity

v = 0 + 0.2×10

v = 2 m/s

Hence, the velocity gained at the end of the time is 2 m/s

Learn more on Motion here: brainly.com/question/10962624

#SPJ1

7 0
1 year ago
Translate each of these statements into logical expressions by using quatifiers and predicates with one or two variables. (a) A
nikdorinn [45]

Answer:

a) A = \{\exists x \in M, \exist y \in U\,|\,xGy \}, b) B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}, c) C = \{\forall x \in M\,|\,xI \}, d) D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \} , e) E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}

Step-by-step explanation:

a) x - A student, M - Set of students of discrete math class, G - has lived in, y - Florida, U - Set of states of the United States of America.

A = \{\exists x \in M, \exist y \in U\,|\,xGy \}

b) x - A student, M - Set of students of discrete math class, y - A perfect grade, H - Midterm I.

B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}

c) x - A student, M - Set of students of discrete math class, I - loves discrete math.

C = \{\forall x \in M\,|\,xI \}

d) x - A student, M - Set of students of discrete math class, J - has been in, y - a state, U - Set of states of the United States of America.

D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}

e) x - A student, M - Set of students of discrete math class, J - has been in, y - a city, V - At least one state of the United States of America, U - Set of states of the United States of America.

E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}

5 0
3 years ago
In which order are the operations performed when solving for m in the follow equation? 3m + 8= 20 A) Subtract 8, divide by 3. B)
Allushta [10]

Answer:

A

Step-by-step explanation:

3m+8=20

3m=20-8

3m=12

m=4

8 0
2 years ago
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