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Alexandra [31]
3 years ago
7

15 Points

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

y = 22⅘

Step-by-step explanation:

5x = 4

x = 0.8

y + 62(0.8) - 3y = 4

2y = 49.6 - 4

2y = 45.6

y = 22.8

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An ultra marathon athlete can run long distances at an average speed of 6 3/4 miles per hour. At this rate, how long will it tak
alexandr402 [8]

Answer:

7.41 hours

Step-by-step explanation:

50/5.75 is 7.41.

4 0
3 years ago
What is the first step to show that two lines are parallel, by looking at the equations of the lines, if they are written in sta
kotykmax [81]
<span>You do need the slope. It's not obvious in "Standard Form". Ax + By = C ==> y = -(A/B)x + (C/B) There's your slope to compare. Find -A/B for each. 3x + 2y = 4 ==> Slope = -3/2 6x + 4y = 5 ==> Slope = -6/4 = -3/2 3x + y = 4 ==> Slope = -3 The top two examples COULD be parallel. If the constant is the same, that's a bit sneaky because they are really the SAME line. That's not really parallel.</span>
6 0
2 years ago
Tonysha has two bags. Each bag has three objects in it. The first bag has one dime, one nickel, and one penny. The second bag ha
timama [110]

Answer:

6

Step-by-step explanation:

Tell me if I'm right

5 0
2 years ago
Read 2 more answers
A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o
Novay_Z [31]
The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft


 
5 0
3 years ago
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
slamgirl [31]

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

5 0
2 years ago
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