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gayaneshka [121]
3 years ago
10

Lacey picks blueberries and raspberries from her garden. She has ⅕ as many pounds of blueberries as raspberries. If she picks 1⅘

pounds more blueberries, she will have equal weights of berries. Let x represent the weight of raspberries. Write an equation that can be used to find the weight of blueberries Lacey has?
Mathematics
2 answers:
Mrac [35]3 years ago
5 0

Answer:

  • 2 1/4 pounds of blueberries

Step-by-step explanation:

Blueberries - b, raspberries - x

<u>Equations as per question:</u>

  • b = x * 1/5
  • b + 1 4/5 = x

<u>Eliminate b and solve for x:</u>

  • 1/5x = x - 1 4/5
  • x - 1/5x = 1 4/5
  • 4/5x = 9/5
  • x = 9/5 : 4/5
  • x = 9/5 *5/4
  • x = 9/4
  • x = 2 1/4
lesya [120]3 years ago
5 0

Answer:

2 1/4 pounds of blueberries

Step-by-step explanation:

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A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
kotykmax [81]

The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)

Answer:

t = 11.559 years

<h3>Compound Interest </h3>

Given Data

  • Principal P= $7000
  • Rate r= 5.5%
  • Final Amount A = $13200
  • Time t = ??

(about 11 years 7 months)

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )

t = 11.559 years

Learn more about compound interest here:

brainly.com/question/24924853

6 0
2 years ago
A=?<br> B=?<br> ({[correct answer marked BRAINLIEST]})
Alinara [238K]

Step-by-step explanation:

a= 16x+3-14x+15

combine like terms, 16x-14x= 2x

so,

2x+3+15,

15+3=18

18=2x, divide 18 by 2

x=9

b)  *open the parenthesis* -1/6 *24x = -4x

-1/6*60 = -10

-4x- (-10)= -4x+10

-4x+10+2x= -4x+2x= -2x

-2x=10 = 2x=-10 = x=-5

Cheers!

6 0
3 years ago
Read 2 more answers
Adante begins to evaluate the expression 3 1/3 * 5 1/4
goldenfox [79]

For this case we must find the product of two mixed numbers:

3 \frac {1} {3} = 3 + \frac {1} {3} = \frac {9 + 1} {3} = \frac {10} {3}\\5 \frac {1} {4} = 5 + \frac {1} {4} = \frac {20 + 1} {4} = \frac {21} {4}

So, we have:

\frac {10} {3} * \frac {21} {4} = \frac {10 * 21} {3 * 4} = \frac {210} {12} = \frac {105} {6} = \frac {35} {2}

If we go to a mixed number we have:

\frac {35} {2} = 17 \frac {1} {2}

Answer:

17 \frac {1} {2}

4 0
3 years ago
How was it like living in the 1900s-1800s
WINSTONCH [101]

Answer:

OML

Step-by-step explanation:

How would anyone know this

3 0
3 years ago
A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a
zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}

Hence the answer is 0.1157

(ii) None is defective becomes

\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}

hence the answer is 0.4823

(iii) All are defective

\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}

(iv) At least one is defective

This is 1 - probability that none is defective

\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}

Hence the answer is 0.5177

3 0
1 year ago
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