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Novosadov [1.4K]

3 years ago

12

wiwona purchused a set of vinage beads.There are 2,140 beads in the set.If she uses the beads to make bracelets that have 7 bead

s each,about how many bracelets can she make?

2 answers:

andriy [413]3 years ago

6 0

140 divided by 7 Is 305

S_A_V [24]3 years ago

4 0

Wiwona can make 305 bracelets because if we divide 2140 divided by 7 is 305

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Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

weeeeeb [17]

Answer: a. The system that models this situation is,

x + y = 6 , 8 x + 5 y = 36.

b. Solution is x = 2lb and y = 4lb

where x is the quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Step-by-step explanation:

Let x quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Then According to the question,

x + y = 6 --------- (1)

And, 80 % of x + 50 % of y = 60 % of 6

⇒ 0.8 x + 0.5 y = 3.6

⇒ 8 x + 5 y = 36 --------- (2)

Where equation 1) and equation 2) are the required equation which models the given situation.

Now, 8 × equation 1)

We get, 8 x + 8 y = 48 ----------(3)

equation (3) - equation (2)

we get, 3 y = 12

⇒ y = 4

By putting the value of y in equation (2)

we get, x = 2

Thus, he mixed 2 lb of mixture 80/20 and 4 lb of mixture 50/50 for making 6 lb of 50/50 mixture.

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2 years ago

so an athlete trains on a circular track of radius 40m and jogs 10 laps each day 5 days a week. how far dose he jog each week?

UkoKoshka [18]

Ok. he jogs 10 laps in a day and each lap is 40 m so 10 times 40 is 400
he jogs 400 meters in a day then multiply that by 5 for the week
400 times 5 is 2000
he jogs 2000 meters each week

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Can someone please help me with math.

Inessa05 [86]

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I created an equation for this one:

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Solve the system (x-1)²+(y-2)²=2² and y=2x+2.

Likurg_2 [28]

Answer:

(x, y) = (-0.6, 0.8) or (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

(x -1)² +((2x +2) -2)² = 4

x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

(5x² -5x) +(3x -3) = 0

5x(x -1) +3(x -1) = 0

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The values of x that make these factors zero are ...

x = -3/5, x = 1

The corresponding values of y are ...

y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

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