1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
strojnjashka [21]
3 years ago
14

Question in the middle please

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0
So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:

20 fruits for $11.50
apples cost $0.50
bananas cost $0.75

let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:

0.50a + 0.75b = 11.50  ... so, the cost of apples bought plus the cost of bananas bought equals 11.50

note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).

a + b = 20
and your other equation
0.50a + 0.75b = 11.50

these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.

a + b = 20
a = 20 - b

now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6

6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.

a + 6 = 20 ... subtract 6
a = 14

14 apples and 6 bananas were bought.
You might be interested in
Write each sum using summation notation<br> 12 + 22 + 32 + 42 + ⋯ + 10000^2
Murljashka [212]

Answer:

50,00,70,000

Step-by-step explanation:

The given sequence is Arithmetic Progression.

Arithmetic Progression is a sequence in which every two neighbor digits have equal distances.

Here first we will find the number of terms

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

Now, In given sequence: 12, 22, 32, 42, ⋯ , 100002

a = 12, d = 10, n = ? and  aₙ= 100002

∴ 100002  = 12 + (n - 1) × (10)

⇒ 99990 = 10(n - 1)

⇒ n = 10000

Now using the formula of Sum of Arithmetic Sequence,

Sₙ = n÷2[2a + (n - 1)d]

⇒ Sₙ = (10000÷2)[2 × 12 + 9999 × 10]

⇒ Sₙ = 5000 [ 24 + 99990]

⇒ Sₙ = 5000 × 100014 = 50,00,70,000

5 0
3 years ago
Edward can run 1/2 mile in 300 seconds what is edwards unit rate
Vilka [71]
Rate/ speed = distance / time;
= 1/2mile / 300 seconds;
= 0.001666666..... mile/second
7 0
3 years ago
Which is bigger 3/11 or 3/12​
mr_godi [17]

Answer:

3/11

Step-by-step explanation:pls mark me brainliest

7 0
2 years ago
Read 2 more answers
How do you find an explicit formula?
bazaltina [42]
If you can find an explicit formula for a sequence, you will be able to quickly and easily find any term in the sequence simply by replacing n with the number of the term you seek. An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location).
6 0
3 years ago
-2 + (-3) x (-8 + 4)
Ymorist [56]

Answer:

10

Step-by-step explanation:

-2+(-3)*(-8+4)

-2+(-3)*(-4)

-2+12

10

4 0
3 years ago
Read 2 more answers
Other questions:
  • URGENT** PLEASE ANSWER AS SOON AS POSSIBLE: 40 POINTS
    5·1 answer
  • Twice the sum of x and 3 is less than 5
    15·1 answer
  • Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Whi
    9·2 answers
  • Can some one please do this for me just 7 and 8
    15·1 answer
  • A bicyclist travels at a constant speed of 18 miles per hour for a total of 27minutes. Choose the function, the domain and the r
    11·1 answer
  • A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4
    12·1 answer
  • If Hannah can drive 20 miles in 4 minutes, what is her unit rate in miles per minute?
    12·1 answer
  • A company gives a bonus to two salespeople, Miss Xu and Ms Trent, in the ratio of the
    8·1 answer
  • Please help I’ll mark as brainliest !
    14·2 answers
  • If the diameter is 21m what is the radius?<br><br> if the radius is 3.25mm what is diameter?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!