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
Blizzard [7]
3 years ago
7

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and

each peach costs $2. She bought a total of 14 bananas and peaches altogether. Write a system of equations that could be used to determine the number of bananas and the number of peaches that Emily bought. Define the variables that you use to write the system.
Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.

Step-by-step explanation:

Step 1 :

Let b be the number of bananas

Let p be the number of peaches  

Given that the total of bananas and peaches that Emily bought  = 14

Hence we have,

b + p = 14

Step 2 :

Cost of one banana =  $0.80

Cost of one peach = $2

Cost of all the bananas and peaches Emily bought = $20.80

So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80

Hence we have

0.80 b +2 p = 20.80

Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought

Step 3 :

Answer :

The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by

b + p = 14

0.80 b +2 p = 20.80

You might be interested in
Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)2 = 225y2+12x3y+0.16x6
kobusy [5.1K]

Answer:

<u>∗ = 0.4x³</u>

Step-by-step explanation:

(15y + ∗)² = 225y²+12x³y+0.16x⁶

<u>Note:</u>

225y² = 15y * 15y = (15y)²

12x³y = 2 * 15y * 0.4x³

0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²

So, by factoring the right hand side:

225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²

By comparing the left hand side with (15y + 0.4x³)²

<u>So, ∗ should be replaced with the monomial 0.4x³</u>

6 0
3 years ago
A compact disc has an approximate Radius of 2 3/8 inches, what is the approximate area of a CD
professor190 [17]

Answer:

A≈12.57      

r Radius 2

Step-by-step explanation:

6 0
3 years ago
HELP
kherson [118]

Answer: For the equation simply substitute 30 in for v and 4 in for s in the equation given, so H=-16t^2+30t+4

Part 2.

If the juggler misses the ball, you wish to know the time that it takes for the ball to travel the four feet from his hand to the ground, so respectively,

4=-16t^2+30t+4 or 0=-16t^2+30t or 0 = -16t+30,

solving for t, t =30/16 seconds or 1.875 seconds

Step-by-step explanation:

4 0
3 years ago
ASAP!! Three consecutive numbers have a sum of 156. What are the 3 numbers?
ryzh [129]

For this problem, all you need to do is find the three #'s that add up to 156.

So, lets look at the answers and add them up.

A. 50, 52, 54

50 + 52 + 54 = 156

B. 51,52,53

51 + 52 + 53 = 156

C. 49,50,51

49 + 50 + 51 = 150

D. 49,51,53

49 + 51 + 53 = 153

We get the answers (50,52,54) and (51,52,53)

Now, consecutive numbers are numbers that in order, like 1,2,3.

Therefore, the answer is (51,52,53)

3 0
3 years ago
Given: KLMN is a trapezoid m∠N = m∠KML ME ⊥ KN , ME = 3√5 , KE = 8, LM:KN = 3:5 Find: KM, LM, KN, Area of KLMN
lora16 [44]
Q1)Find KM
As ME is perpendicular to KN, ∠KEM is a right angle
Therefore ΔKEM is a right angled triangle 
KE is given and and ME is also given, we need to find KM
for this we can use Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides.
KM² = KE² + ME²
KM² = 8² + (3√5)²
       = 64 + 9x5
KM = √109
KM = 10.44

Q2)Find LM
It is said that ratio of LM:KN is 3:5
Therefore if we take the length of one unit as x
length of LM is 3x
and the length of KN is 5x
KN is greater than LM by 2 units 
If we take the figure ∠K and ∠N are equal. 
Since the angles on opposite sides of the bases are equal then this is called an isosceles trapezoid. So if we draw a line from L that cuts KN perpendicularly at D, ΔKEM and ΔLDN are congruent therefore KE = DN
since KN is greater than LM due to KE and DN , the extra 2 units of KN correspond to 16 units 
KN = LM + 2x 
2x = KE + DN
2x = 8+8
x = 8
LM = 3x = 3*8 = 24

Q3)Find KN 
Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have;
same height ME = LD perpendicular distance between the 2 parallel sides 
same right angle when the perpendicular lines cut KN
∠K = ∠N 
when 2 angles and one side of one triangle is equal to two angles and one side on another triangle then the 2 triangles are congruent according to AAS theorem (AAS). Therefore KE = DN 
the distance ED = LM
Therefore KN = KE + ED + DN
 since ED = LM = 24
and KE + DN = 16
KN = 16 + 24 = 40
another way is since KN = 5x and x = 8
KN = 5 * 8 = 40

Q4)Find area KLMN
Area of trapezium can be calculated using the following general equation 
Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)
where perpendicular height - ME
2 parallel sides are KN and LM
substituting values into the general equation
Area = 1/2 * ME * (KN+ LM) 
         = 1/2 * 3√5 * (40 + 24)
         = 1/2 * 3√5 * 64
         = 3 x 2.23 * 32
         = 214.66 units²


8 0
2 years ago
Read 2 more answers
Other questions:
  • Chiquita and Rhonda are each building a snowman. Rhonda tells Chiquita that she is making each of her
    5·1 answer
  • Camp Timberlake has 320 campers in its first summer session. The oldest 112 campers sleep in tents and the rest sleep in cabins.
    15·1 answer
  • Pls help me with this i attached a photo of the question thanks!!
    9·1 answer
  • The snacks for lupes class cost $6.75 how much is each banana if each orange costs $0.40
    13·1 answer
  • Paul and Erin are playing a board game. The spinner has 4 colors on it. Paul needs to spin red two times in order to win. What i
    5·1 answer
  • Answer asap please??
    13·1 answer
  • How do I expand the expression shown?
    9·1 answer
  • Which equations show inverse operations of each other? Choose exactly two answers that are correct. 16×1/4  =4     1/4 ÷4 =116  
    13·1 answer
  • | How do you write 1.4 x 102 in standard form?
    11·1 answer
  • Distributive property.<br><br> 1. -5(y + 1) + 6y<br> 2. 4(z-2)+3z<br> 3. (f-5)(-2)+ 11f
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!