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3 years ago

The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.

Mathematics

1 answer:

Xelga [282]3 years ago

5 0

Answer:

x= 8

Step-by-step explanation:

The equation of direct variation is

y = kx

When y = 50 when x = 40

50 = k* 40

Divide each side by 40

50/40 = k

5/4 = k

The equation is

y = 5/4x

Let y = 10

10 = 5/4x

Multiply each side by 4/5

4/5 * 10 = 5/4 x * 4/5

8 = x

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An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four

forsale [732]

Answer:

Step-by-step explanation:

let the apprentice duration of work be x hours

so that the electrician worked (x+4)hours

53*(x+4)+22*x=624.50

opening the bracket we have

53x+212+22x=624.50

collect like terms we have

53x+22x+212=624.50

75x+212=624.50

75x=624.50-212

75x=412.5

divide both sides by 75 we have

x=412.5/75

x=5.5

The electrician worked a total of (x+4)

5.5+4=9.5 hours or 9hours 30min

given that the electrician earns $53 per hour

then,for the work he would make 53*9.5=$503.5

7 0

3 years ago

On the subway 8 out of 11 people are carrying a briefcase.Based on this information, if there are 700 people on the subway, then

Scorpion4ik [409]

Answer:

191 people do not have a briefcase

Step-by-step explanation:

Proportion states that the two ratios or fraction are equal

As per the given condition:

On the subway 8 out of 11 people are carrying a briefcase.

⇒Total number of people = 11

and number of people carrying a briefcase = 8

Remaining number of people that do not carrying a briefcase = 11-8 = 3

Now,

Based on this information, if there are 700 people on the subway

Let x be the number of people do not have a briefcase

By definition of proportion :

$\frac{3}{11} = \frac{x}{700}$

Multiply 700 both sides, we have

$\frac{3}{11} \times 700 = x$

Simplify:

x = 190.90≈ 191

Therefore, 191 people do not have a briefcase

5 0

3 years ago

Read 2 more answers

Help me! pls, i need to get rid of points :) say hey and ill give you some!

earnstyle [38]

Heyyyyyyyyyyyyyyyyyyyyyyyyy

5 0

2 years ago

Read 2 more answers

I really need help. I've checked everywhere and it says cannot be factored. I will give brainliest to whoever can help me and gi

jolli1 [7]

Answer:

B) -5, 5, -7, 7

Step-by-step explanation:

3x² - bx + 2

factor:

(3x - 2 )(x - 1) = 3x² - (5)x + 2 so 5 does work

(3x - 1 )(x - 2) = 3x² - (7)x + 2 so 7 does work

(3x + 2 )(x + 1) = 3x² + 5x +2 = 3x² - (-5)x + 2 so -5 does work

(3x + 1 )(x + 2) = 3x² + 7x + 2 = 3x² - (-7)x + 2 so -7 does work

4 0

3 years ago

Simplify the following expression. 2^2 • 2^3

sesenic [268]

Answer:

4 × 6

Step-by-step explanation:

2^2= 4 or 2 × 2= 4

2^3= 6 or 2 × 2 × 2= 6

So, 4 × 6

8 0

3 years ago