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Anton [14]
2 years ago
6

The line with the equation 4/5x +1/3y=1 is graphed one the xy-plane. What is the x-coordinate of the x-intercept of the line?

Mathematics
1 answer:
leva [86]2 years ago
4 0

Answer:

x = 4/5

Step-by-step explanation:

The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis.  If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:

(4/5)x + (1/3)(0) =1

Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).

Thus, x = 4/5, and the x-intercept is (4/5, 0).

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A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wan
lilavasa [31]

Answer: x+y=45\\\\1000 x + 500y = $2500

Step-by-step explanation:

Let x =  Number of employees taking technology training

y= Number of employees taking customer service training

Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.

Total cost = 1000 x + 500y

Since, Total cost = $25,000 and total employee to attend training= 45 .

That means , the required equations are:

x+y=45\\\\1000 x + 500y = $2500

5 0
2 years ago
Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each porti
expeople1 [14]

Answer:

I think its choice C

Step-by-step explanation:

Because it makes more sense to me

5 * 1.5 to get 7.5, which is total pounds

7.5 - 2.8 to get how many almonds

= 4.7

Choice C makes the most sense to get that answer

i'm only in 5th grade so tell me if i'm wrong ill be ok with that

3 0
2 years ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
2 years ago
A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45
DedPeter [7]
Alright 3 hours =315 because u add up both miles so per hour they move 105miles closer to each other so now we need to figure out how to get an extra 45 miles 


anwser 3hours and 26.08695652173913 min
5 0
2 years ago
6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?
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8 0
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