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Korolek [52]
2 years ago
7

Sadie runs a farm stand that sells blueberries and peaches. Each pound of blueberries sells for $3.25 and each pound of peaches

sells for $3. Sadie sold 3 times as many pounds of peaches as pounds of blueberries and she made $171.50 altogether. Determine the number of pounds of blueberries sold and the number of pounds of peaches sold.
Mathematics
1 answer:
fiasKO [112]2 years ago
6 0

Answer:

There were 14 pounds of blueberries sold and 42 pounds of peaches sold.

Step-by-step explanation:

Since Sadie sold 3 times as many pounds of peaches as pounds of blueberries, she sold more pounds of peaches, so if we multiply 3 by the number of pounds of blueberries sold, we will get the number of pounds of peaches sold, meaning pp equals 3b.

There were 14 pounds of blueberries sold and 42 pounds of peaches sold.

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The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookie
Ostrovityanka [42]

Answer:

35/8

Step-by-step explanation:

KCF (Keep, Change, and Flip)

4 0
2 years ago
Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
kipiarov [429]

9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

5 0
2 years ago
Two sides of a triangle
True [87]

step 1: open brackets n rmb to flip the signs

step 2 (optional): rearrange to make the equation clearer to add/minus

length of 3rd side:

(8x + 3) - (2x + 1) -(5x + 2)

= 8x + 3 - 2x -1 - 5x -2

= 8x -2x -5x +3 -1 -2

= x

Therefore, length of 3rd side is X cm.

---

If perimeter = 75cm,

8x +3 = 75

8x = 75-3

8x = 72

x = 9 cm

Therefore,

1st side = 2(9) +1

= 19 cm

2nd side = 5(9) +2

= 47 cm

3rd side = 9 cm

4 0
3 years ago
Is finding the mean weight of heart-disease patients in a study an example of data gathering?
Leviafan [203]

I would think so since you have to weigh each person and then add all the weights together and then divide this number by the total number of people weighed.

Would probably mostly hinge on the actual weighing part I think for the data gathering.

5 0
3 years ago
Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas
BartSMP [9]

Answer:

Small candies =9

Extra large candies =12

Step-by-step explanation:

Let small candies =x

Extra large candies =y

the number of candies is at least 20.

x+y\geq20

Cost of 1 small candy =\$4

Cost of 1 extra large candy =\$12

but she has only \$180 to spend

4x+12y\leq180

Solve for

x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}

Since number of candies should be integer.

let x=7,y=13

total spend 4\times7+12\times13=184 which is more than \$180, so this combination is not possible.

let\ x=8,y=12\\8\times4+12\times12=176

She has \$4 more so she can buy 1 more small candy.

Hence  small candy =9

extra large candy =12

4 0
2 years ago
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