Andrew goes to the shop to buy some apples and bananas.

He goes to purchase 5 apples and 4 bananas, and the total comes to $ 5.70.

Unfortunality, he doesn’t have enough money, so he puts back 1 apple and 2

bananas.

The new total is $ 3.60. What is the cost of 1 apple and the cost of 1 banana?

b. Andrea’s budget is $6. If she buys equal number of apples and bananas, then

what is the maximum number of apples and bananas, she can buy?

Answers

Answer 1

Answer:

a. The price of an apple is $0.5 and that of a banana is $0.8

b. 4

Step-by-step explanation:

Form simultaneous equations from the information.

For 5 apples and 4 bananas, and the total comes to $ 5.70 this can be;

5 a + 4 b = $5.70----------i

After he puts back 1 apple and 2  bananas, the equation will be;

4 a + 2 b = $3.60 -------------ii

Solve the two equations simultaneously as;

{5 a + 4 b = 5.70 }4 ---------making the a terms equal to eliminate them

{4 a + 2 b = 3.60}5

20 a + 16 b = 22.80 -------subtract the b terms

20 a  + 10b = 18.00

6 b = 4.80

b= 4.80/ 6

b=$ 0.8

Using equation i :

5a + 4b =$5.70

5a + 4*0.8 = 5.70

5a + 3.2 = 5.70

5a = 2.5

a = 2.5 / 5

a=$0.5

The price of an apple is $0.5 and that of a banana is $0.8

b.  

Let the number of apples be ------x

Let the number of bananas be-----x

This is because the target is equal numbers;

Form an equation for total cost as;

0.5 x + 0.8 x = $6

1.3 x = 6

x = 1.3 / 6 = 4.62

Maximum number of bananas to buy = 4

Maximum number of apples to buy = 4

However, he will have $0.8 remaining


Related Questions

i just need to make sure this is correct for a test 6x² - 3x when x=5. my answer was 135

Answers

Answer:

135 is the correct answer

Step-by-step explanation:

6x^2-3x

substitution

x=5

6* (5*5) -3*5

6*25-3*5

150-15= 135

Answer:

Yes, it's 135.

Step-by-step explanation:

6(5^2)-3(5)

6(25)-15

150-15= 135.

9 times k times k times k times k times k as a exponet

Answers

Answer:

9 as the base and k as the exponet

Step-by-step explanation:

What’s (-6 - 4) divided by (-5)

Answers

Answer:

in fraction form is 6/20 in decimal form its 0.3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(-6 - 4) ÷ -5 = 2

What is the parallel and perpendicular slope for
3
- _
2
(PLEASE SHOW WORK)

Answers

Answer:

parallel  = -3/2

perpendicular = 2/3  

Step-by-step explanation:

i hope this helps and good luck

Answer:

Parallel slope of -3/2 is -3/2Perpendicular slope of -3/2 is 2/3

Step-by-step explanation:

A line in a graph parallel/collinear to another line has same slope.

A line perpendicular to the another line has negative and reciprocal slope of the given line.

Please help !!! Don’t understand this math problem

Answers

Answer:

31.4

Step-by-step explanation:

10 x 3.14 ( pi) =31.4in2

The parking garage at the airport has 86 empty parking spaces and 14 full parking spaces. What percentage of the spaces in the garage are empty?

Answers

There are 100 total spaces. 86 are empty. 86/100 is 86%.

Which statement about 5(1 + 3x) is true?
A. 5(1 + 3x) is a quotient.
B. 5(1 + 3x) has two variables.
C. 5(1 + 3x) has one variable.
D. 5(1 + 3x) is a product of three factors.

Answers

well well here it has only one variable that is x

hence option c is correct

Answer:

it is c since it only has one variable

ANSWER THIS PLS!!!!

The constant velocity motion formula can be expressed as x = x0 + vt

where x is the location of the object at time t, xo is where the object begins, and v is the constant velocity. This is an example of a linear equation.

Suppose we’re collecting data on an object that we know has a constant velocity. We observe the object being 40m away from us at time 4. 10 seconds later at time 14, we make another observation and notice the object is now 70m away.


Using this data, and the constant velocity motion formula, determine an equation that models the object’s path.

Answers

Answer and Step-by-step explanation: With the constant velocity motion formula, we can determine constant velocity of the object in motion whose data we collected:

x = x₀ + vt

Velocity can be calculated as:

[tex]v=\frac{x-x_{0}}{t}[/tex]

[tex]v=\frac{70-40}{10}[/tex]

v = 3 m/s

The beginning of the data collect, object is 40m away, then x₀ = 40.

So, equation modeling the object's path is x = 40 + 3t.

What is the mean absolute deviation of Robin’s scores?

Answers

Answer:

what r Robins scores

Answer:

5.2

Step-by-step explanation:

I got it right on edge lol.

at a hot dog stand they serve regular and footlong hot dogs at a ratio of 5 to 3 based on this ratio how many footlongs hot dogs will be served there is a total of 120 hot dogs served. A. 45 footlong hot dogs, B. 75 footlong hot dogs, C. 72 footlong hot dogs​

Answers

Answer:

45

Step-by-step explanation:

Ratio is 5:3

So total ratio "parts" is 5 + 3 = 8

In total there are 120 dogs served, so each part is:

120/8 = 15 dogs

Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs

Answer:

45

Step-by-step explanation:

What percentage is 7/100 equivalent to?

Answers

Answer:

7% because 0.07 is a decimal and 7/100borb7% is the percentage of 7/100

Answer:

7%

Step-by-step explanation:

0.07 is a decimal and 7/100 or 7% is the percentage for 7/100.

If m_PQT=(3x+47) and m_SQR=(6x+25), find m_SQR

Answers

Answer:

6x+25

Step-by-step explanation:

here is given that

Please help me! I will mark brainliest!

Answers

Answer:

Your picture didn't load?

Step-by-step explanation:

Simplify the expression.
(2xy)3

Answers

Answer:

the answer to this problem I believe is 6xy

Answer:

8x^3*y^3 if you meant ^3 otherwise it is 6xy if you meant *3

Step-by-step explanation:

If you could give brainliest it would be much appreciated

Diane has 12 coins that total $1.60. If the coins are all nickels and
quarters, how many of each type does she have

Answers

Answer:

she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60

Can you please Solve this for me?

Answers

(1) 1.375 (2)  -1.5

Step-by-step explanation:

10÷2[500÷5{6 + (21+7-24)}}
can any one ????​​

Answers

Answer:

5,000

Step-by-step explanation:

=10÷2[500÷5{6+4}

=10÷2[500÷5×10]

=10÷2[100×10]

=10÷2×1000

=5×1000

=5000

Stephan added 26 new contacts to his phone list. He had to delete 16 old contacts before he could add any more. Stefan now has a total of 100 contacts. Let c represent how many contacts he had on his phone list before he updated it. Write an equation and then solve for c.

Answers

Answer: 26-16= c

c=10

Step-by-step explanation:

Answer: 90c-16c+26c=100c

Stephan had 90 contacts before he deleted 16 then added 26 more how it works is Stephan had 90 right, then proceeded to delete 16 which left him with 74 contacts after he then added 26 more contacts so he know has 100 contacts.

Sara had 88 dollars to spend on 8 books. After buying them she had 16 dollars. How much did each book cost?

Answers

88-16=72/8= 9$ /= division ANSWER each book is 9$

Answer

$9

first take $88 and subtract what you have left which is $16,

88-16 = 72

Now take 72 and divide by number of books bought which was 8

72/8 = 9

So each book cost $9

Find f(x)=x-1
find f(4)​

Answers

Answer:

f(4) = 3

Step-by-step explanation:

f(4) = 4-1 = 3

What quadrant is the point (-4, 3)? So I could at least get 10 points

Answers

Answer:

Step-by-step explanation:

quadrant 2 ( or if its asking for a letter B)

What is the x value of -6+x=-2

Answers

4

add +6 to both sides cuz it’s the inverse operation

so x=4

Answer:

x=4

Step-by-step explanation:

add 6 to both sides and you get 0+x=4

Which equation could be used to solve this problem?
In 14 years, Miguel will be 40. Let m represent Miguel's current age. How old is he now?
m = 40 + 14
m- 14 = 40
m + 40 = 14
m + 14 = 40

Answers

Answer:

m+14=40

Step-by-step explanation:

Answer:

the answer is m+ 14 = 40

Step-by-step explanation:

Answer is D

What is fhe distance between points (-4, -8) and (10, -8)

Answers

Answer:

Its its, i think its 69, the carrot

Step-by-step explanation:

There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?

Answers

Answer:

noo

Step-by-step explanation:

no, 35 divided by 7 is 5 and 42 divided 7 is 6 it should actually be 5:6

Abigail is incorrect and the correct ratio of  the number of boys in 6th grade to the number of girls in 6th grade is 3:4

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The number of boys in 6th grade is 30

The number of girls in 6th grade is 40.

The  ratio of the number of boys in 6th grade to the number of girls in 6th grade is 30:40

30/40

Divide numerator and denominator by 10

3/4

The  ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4.

But Abigail says that  the  ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3, which is not true.

Hence, Abigail is incorrect and the correct ratio of  the number of boys in 6th grade to the number of girls in 6th grade is 3:4

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ5

PLEASE HELP ASAP
John plays basketball and makes about 60% of the shots he attempts, and misses about 40% of the
shots he makes. Based on this information, if John attempts 150 shots, about how many will he make
in the basket?

Answers

The answer is 20%

John  make 60% and misses 40%

subtract 60 and 40 and its going to be 20 so 20% of the 150 shots your going to make in the basket.

x + 2y = -6
Solve for y

Answers

y= -3-x/2 dhshshshshhshshshshahahhahagagagaga
y=-3-x/2 when you move x to the opposite side it turns negative. then divide 2 to all terms.

The square of the sum of
8 and 7 is

Answers

Answer:

225

Step-by-step explanation:

8+7=15

15*15=225

Answer:

225

Step-by-step explanation:

The square of the sum of 8 and 7 is;

8+7

=15

So square of 15 is

15×15

=225

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of change in the number of public library visits from 1998 to 2002.

Answers

Answer:

A = 0.05 billion visits per year

Step-by-step explanation:

Given that,

The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002.

We need to find the average rate of change in the number of public library visits from 1998 to 2002.

So,

[tex]A=\dfrac{1.5-1.3}{2002-1998}\\\\A=0.05\ \text{billion visits per year}[/tex]

Hence, the required average rate is 0.05 billion visits per year.

Which property is illustrated by the statement 6x4=4x6

Answers

Answer:

commutative property of multiplication

Answer:

commutative property of multiplication

Step-by-step explanation:

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