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Serjik [45]
2 years ago
10

Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have

the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items leftover?
Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Answer:

she can make 6 baskets  with the bars of lavender soap 4 baskets with the bottles of shampoo and 7 baskets with the tubes of hand lotion

Step-by-step explanation:

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Q3. a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's av
Sladkaya [172]
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
4 0
2 years ago
A man has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 520 cents, how many d
nordsb [41]
Assuming x = dimes, y = quarters

x + y = 28 \\ 0.1x + 0.25y = 5.20

x + y = 28 \\ x = 28 - y

Substitute that into,
0.1(28 - y) + 0.25y = 5.20 \\ 2.8 - 0.1y + 0.25y = 5.20 \\0.15y = 2.4 \\ y = 16

Answer : He has 16 quarters.

Hope this helps. - M
5 0
2 years ago
Graph a line with a slope of -2/5 that contains the point (-3,5)
kotykmax [81]

y=-\frac{2}{5}x+\frac{19}{5}

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

y=mx+b

Given

m=-\frac{2}{5}

Putting the value of slope in the equation

y=-\frac{2}{5}x+b

To find the value of b, putting the point (-3,5) in equation

5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}

Putting the values of b and m

y=-\frac{2}{5}x+\frac{19}{5}

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

  • brainly.com/question/1557905
  • brainly.com/question/1554024

#LearnwithBrainly

4 0
2 years ago
What is the value of x in the equation 8x – 2y = 48, when y = 4?
luda_lava [24]

Answer:

7

Step-by-step explanation:

8x-2y=48, replace y with 4, 8x-2(4)=48, multiply, 8x-8=48, add 8 to both sides to remove the -8, 8x=56 and finally divide by 8 to remove 8 from x, x=7.

8 0
2 years ago
David is throwing a stone in the air at an angle from the ground with an initial velocity of 30 feet per second. The equation gi
Shtirlitz [24]

Answer:

42 feet.

Step-by-step explanation:

h=-10t² + 40t +2

The vertex of the quadratic function described by the equation is located at

 t = -(40)/(2(-10)) = 2

Next is to find the value of height at t=2 will be

 h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet

The maximum height is 42 feet.

7 0
2 years ago
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