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2 years ago

15

Zalmon walked 3/4 of a mile in 3/10 of an hour. What is his speed in miles per hour

2 answers:

gavmur [86]2 years ago

7 0

He is walking 9/40 miles per hour. But in decimal form it would be 0.225

zhannawk [14.2K]2 years ago

5 0

3/4 miles in 3/10 hours .... multiply both sides by 10((3/4)*10 miles =(3/10)* 10 hourswe get, 7.5 miles in 3 hoursdivide both sides by 3, we get 2.5 miles in an hour.so the speed is 2.5 miles per hour

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What is the value of x?

Dafna1 [17]

Answer:

$3x = 12x - 81$ (vertically opposite angles)

$→3x - 12x = - 81$

$→- 9x = - 81$

$→x = \frac{ - 81}{ - 9}$

$→x = \frac{81}{9}$

$→x = 9$

hope it helped you:)

5 0

3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

Dados los intervalos A=]-2;2[ ,B=[0;5[ y C=]-∞;1], determine el intervalo que resulta de operar: (A∩B)-C

d1i1m1o1n [39]

Answer: ]1, 2[

Step-by-step explanation:

$A \cap B=[0; 2[\\\\(A \cap B)-C=]1, 2[$

8 0

1 year ago

The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?

deff fn [24]

D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters

d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes

6 0

2 years ago

How do I set up my equation?

Vaselesa [24]

I think it will be set up as 2000(.051)^3

4 0

2 years ago

Read 2 more answers