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Vitek1552 [10]
3 years ago
11

At Katya's fruit stand, a basket of strawberries costs $4 and a basket of raspberries costs $9. In one morning, Katya sells 96 b

askets for $644. How many baskets of strawberries were sold
Mathematics
1 answer:
Cloud [144]3 years ago
6 0

44 baskets of strawberries are sold

<em><u>Solution:</u></em>

Let "a" be the number of baskets of strawberries sold

Let "b" be the number of raspberries sold

Cost of 1 basket of strawberries = $ 4

Cost of 1 basket of raspberries = $ 9

<em><u>96 baskets were sold. Therefore, we can say,</u></em>

number of baskets of strawberries + number of raspberries sold = 96

a + b = 96

b = 96 - a ------------- eqn 1

<em><u>In one morning, Katya sells 96 baskets for $644</u></em>

Thus we frame a equation as:

a \times 4 + b \times 9 = 644

4a + 9b = 644 ----------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

4a + 9(96 - a) = 644

4a + 864 - 9a = 644

5a = 864 - 644

5a = 220

Divide both sides by 5

a = 44

Thus 44 baskets of strawberries are sold

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Licemer1 [7]
I use a bit of a different looking formula.

A(t)=P(1+r/n)^nt

P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)

Plugged in it looks like this:

A(t)=500 (1+ 0.04/1)^1x5

Then I put it into my calculator like this:

0.04/1+ 0.04

Then add one to the above answer:

0.04+1=1.04

Then raise the above answer to the 1x5:

1.04^5=1.2166......

Then multiply the above answer by 500:

1.2166.... x 500=608.3264512

She has $608 after 5 years.

Hope this helps, let me know if you have any questions.
5 0
3 years ago
In a continuous series, mean(x) = 80, assumed mean(A) = 60 and<br>EF=40 then find the value of EFd.​
Aneli [31]

Using the given information, the value of Σfd is 800

<h3>Calculating mean using Assumed mean </h3>

From the question, we are to determine the value of Σfd

The formula for mean, using the assumed mean method is given by

\bar x = A + \frac{\sum fd}{\sum f}

Where \bar x is the mean

A is the assumed mean

From the given information,

\bar x = 80

A = 60

\sum f = 40

Putting the parameters into the equation, we get

80 = 60 + \frac{\sum fd}{40}

80-60 = \frac{\sum fd}{40}

20 = \frac{\sum fd}{40}

\sum fd = 20 \times 40

\sum fd = 800

Hence, the value of Σfd is 800

Learn more on Mean here: brainly.com/question/20118982

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8 0
2 years ago
Please help, limited on time!!
Naily [24]

Answer:

D. 5/13

Step-by-step explanation:

Cosin is adjacent/hypotenuse so, the adjacent would be 5 and the hypotenuse is 13 since it is the longest side. This is viewed from angle B.

8 0
3 years ago
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Shelby spends 2/7 of her salary on her monthly rent and has $3455 left over. How much does she spend on her rent each month?
Zepler [3.9K]

Answer:

$1382

3455 is 5/7 of salary so divide 3455/5 = 691

then multiply 691x2 because rent is 2/7 of salary

691x2 = 1382

5 0
3 years ago
I really need help with this my deadline is very soon​
Harman [31]

Answer:

(3)\ y = -x

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Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

m = -1

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The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -1(x - 4) -4

Expand

y = -x + 4 -4

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m = -3

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The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -3(x - 1) - 5

Expand

y = -3x + 3 - 5

y = -3x -2

8 0
3 years ago
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