Mathematics High School

Name: ___________________________________________ Class: ___________
Real World Situation

Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at
$0.45 each. At another store he could have bought the same number of apples at
$0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How
many apples and how many pears did Bryce buy?

Write equations in Standard Form.
Equation 1 (Store 1) Equation 2 (Store 2)
___________________________________ ____________________________________
Solve both equations in Standard Form. Show all work.
HINT: Replace the given values for x in the equation and solve for y

Equation 1
x (x,y)
0

1

2

3

4

5

6

Equation 2
x (x,y)
0

1

2

3

4

5

6

Solution:- ( , )
Identify the solution and state what it means in context of the problem.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
________________________________________________________________________________

Use Substitution Method to solve the system of Equations. Show all work and state
the solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Substitution Method.
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_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Elimination Method to solve the system of Equations. Show all work and state the
solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Elimination Method.

_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________

Use Graphing Method to solve the system of Equations. Show all work and state the
solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Graphing Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________

Reflection:
_______________________________________________________________________________________________
_______________________________________________________________________________________________

_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________

Name_____________________________________ Class:______________ 2020-2021 Score:
Circumstances of Performance Students comments: I have learned that
___independent work __________________________________________________________________
___in class __________________________________________________________________
___as Homework __________________________________________________________________
___with a partner __________________________________________________________________
___with teacher feedback
___with an opportunity for revision Teacher comments/Next Steps:
__________________________________________________________________
Peer Reflection:
___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________

Answers

Answer 1

Let the number of apples be x and that of pears be y, then:

0.64x + 0.45y = 5.26 . . . (1)

0.32x + 0.39y = 3.62 . . . (2)

(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)

(1) - (3) => -0.33y = -1.98

y = -1.98 / -0.33 = 6

From (2), 0.32x + 0.39(6) = 3.62

0.32x = 3.62 - 2.34 = 1.28

x = 1.28 / 0.32 = 4

Related Questions

If x = -3, then x^2-7x + 10 equals

Answers

Answer and working out attached below, hope it helps

x²-7x+10 when x=-3

( - 3)² - 7( - 3) + 10 = 9 + 21 + 10 = 30 + 10 = 40

Find the area of the figure

Answers

Answer:

40

Step-by-step explanation:

because 8 times 5 is 40

Answer:

49.82 cm²

Step-by-step explanation:

Answer attached..

Hope it helps ^_^

simplify 2(-3x -6) I want to simplify it but I'm not sure how

Answers

Answer:

-6x-12

Step-by-step explanation:

2(-3x-6)

Multiply: 2(-3x)+2(-6)

so answer is -6x-12

solution is -6x-12

Explained: 2(-3x-6)
-6x - 12

Simplify the expression
9 (a - 4)

Answers

9a-36. Multiply the 9 by a, to give you 9a. Then by -4 to give you -36. All together that becomes 9a-36.
9a - 36 distribute everything

5d + 4 + 2 + - 9 + 3d + 4c

Answers

Answer:

8d + 4c - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5d + 4 + 2 + -9 + 3d + 4c

Step 2: Simplify

Combine like terms (d):                                                                                    8d + 4 + 2 - 9 + 4cCombine like terms:                                                                                         8d + 4c - 1

Answer:

8d + 4c - 3

Step-by-step explanation:

5d + 4 + 2 + - 9 + 3d + 4c

5d + 3d + 4c + 4 +2 - 9

8d + 4c - 3

Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?

Answers

Answer:

each wood is 3/4 and there is 7wood so it's 7*3/4

Step-by-step explanation:

7×3/4

=21/4

If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredth).

Answers

Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

Manoj went to the shopping mall and saw the price list in the shoe store as mentioned below in
the table. Then, he decided to buy pair of casual shoes and formal shoes. So, he gave 4 notes of
Rs. 1000. He was returned 5 notes in denominations of Rs. 500 and Rs. 100. How many notes of
Rs. 500 and Rs. 100 did he get? Find out.
Type of Pair of Shoes
Price List
Casual Shoes
Rs.1,300
Formal Shoes
Rs. 1,800
Sports Shoes
Rs. 1,400​

Answers

Answer:

A Rs. 500 note, and four Rs. 100 notes.

Step-by-step explanation:

The cost of the two shoes = Rs.1,300 + Rs. 1,800

                                            = Rs. 3,100

He gave 4 notes of Rs. 1,000 = 4 x Rs. 1,000

                                                 = Rs. 4,000

Manoj's expected change = Rs. 4,000 - Rs. 3,100

                                           = Rs. 900

Since he was returned 5 notes in the denominations of Rs. 500 and Rs. 100, then;

Rs. 500 + Rs. 100 + Rs. 100 + Rs. 100 + Rs. 100 = Rs. 900

Therefore, Manaoj was returned a Rs. 500 note, and four Rs. 100 notes.

Find the exact value of each trigonometric function using the unit circle ​

Answers

Answer:

Step-by-step explanation:

8)

co-terminal angle for -960... can you tell me?  :D  w/o looking at my answer below?

Your answer for co-terminal angle is   ______________ :)

960 - 360 = 600

600 - 360 = 240

this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction

360-240 = 120

and yes.. that does look like 120 °  going in the positive direction.  

now do you know the sec identity  to use sin and cos???

look at the below diagram

sin     sec

cos    csc

tan    cot

the trig function line up like that for a reason

sin     1/sin

cos    1/cos

sin/cos   cos/sin

I put them in their sin and cos identities.. see.. they all line up that way

sec = 1/sin

csc = 1/cos

tan = sin/cos

cot = cos/sin

now... find

sec(120) = 1/sin(120)

do you know how to find sin(120) ?????

put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do

sin(120) = sin(60)= √3/2

so sec(120) = 1 / √3/2  

so sec(120) = 2/ √3

10)

csc(315) = 1/cos(315)

find the co-terminal angle that you know in the 1st quadrant again...

so 315 = 45 in the 1st quadrant.. I just looked and can see that

so

csc(315) = 1/cos(315   =  1/cos(45)     and cos(45) = √2/2

so then  1 /  √2/2   =   2 / √2

csc(315) = 2 / √2

what i'm really wondering about.. is .. where is question 9)

:DDD

Given an example of a binomial and an example of a trinomial.

Answers

Answer:

Step-by-step explanation:

A binomial might look like x + 2.  Note how it has two terms.  " bi' " is a prefix meaning " two. "

A trinomial might look like 2x^2 - x + 1.  It has three terms.

Which statement best describes hopping viewpoint and purpose in this excerpt?

Answers

Answer: Sry but can I see the excerpt. Thanks

Step-by-step explanation:

Answer:

A. edge 2021

mark me brainliest

helphelphelphelphelphelphelphelphelphelphelphelp

Answers

Answer:

um... the.... second... one...? and nice Jake picture

Step-by-step explanation:

What is the value of this expression when X=-1 and Y = 2?
4x3y2

Answers

Answer:

-16

Step-by-step explanation:

4x3y2

replace variables with numbers

4×-1×2×2

-4×4=

-16

Help please I need help

Answers

Answer:

EI SONA

Step-by-step explanation:

What is the distance between the following points

Answers

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle

Solve for x (Geometry)

Answers

Answer:

x = 18[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The middle line divides the 90° angle in half meaning your triangles are isosceles triangles. Recall that an isosceles triangle has sides that are the same length.

Using pythagorean theorem a² + b² = c², you can solve for x

18² + 18² = x²

x² = 648

x = 18[tex]\sqrt{2}[/tex]

What is the negative x-intercept of the quadratic function represented by
y = (2x + 8) (3.2 – 1)?

Answers

4.4? Jejejwmmwlsowkwm

Find the slope of the line that passes through the points (2, 1) and (-4, -5).

Answers

Answer:

The slope is 1

Step-by-step explanation:

(2, 1) and (-4, -5)

Slope:

m=(y2-y1)/(x2-x1)

m=(-5-1)/(-4-2)

m= (-6)/(-6)

m = 1

Answer:

Hi! The answer to your question is [tex]Slope = 1[/tex]

Step-by-step explanation:

[tex]Slope = y2-y1/x2-x1[/tex]

[tex]-5-1/-4-2[/tex]

[tex]= 1[/tex]

[tex]Slope = 1[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

8/9÷3= 7/8 1/5 8/27 2/3​

Answers

8/9 divided by 3 = 8/27

have a wonderful day! the steps are down below! :)

At Super Grocery, strawberries cost $3.00 for 2 pounds. At Value Market, strawberries cost $4.00 for 3 pounds. Which store has a better value for strawberries?

Answers

Answer: Value Market has the better  value for strawberries

Step-by-step explanation: Value Market sells them for 1.3 for 1 pound.

Answer: Uhhhhh

Step-by-step explanation:

Value market has a better value

If mZADB = 15 then what is m ACB?
A
B
D

Answers

D Do you because you have to get it to equal 15

Put in order from least to greatest
89.03
98.03
9.83

Answers

Answer:

9.83

89.03

98.03

Step-by-step explanation:

Easy

Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: Answer is B

Step-by-step explanation:

Find the length of the third side. If necessary, write in simplest radical form.
(screenshot provided)
no links please ;')

Answers

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

A number from 1-20 is chosen at
random. What is the probability
that it is not prime number.

Answers

Answer:

There are 12 composite (and 8 primes) in the first twenty whole numbers. So the probability of randomly choosing a non-prime is 12/20 or 60%.

Linda is making a quilt for her granddaughter. She bought 3 1/4 yards of fabric. Her total cost was $10. What was the cost per yard?

(Complex fraction)

Answers

Answer:

13 /40

Step-by-step explanation:

Divide

13 over 4

13 /4  ÷ 10 = 13 over ( 4 × 10 )

13  over 4 × 10

= 13 over 40

13 /40

A . 48 cm sq
B. 64 cm sq
C. 80 cm sq
D. 60 cm sq

Answers

I think it would be B

Raina has 3 buckets.
She pours a total of 30 liters of water into these buckets.
If every bucket gets the same amount, what is the volume of water in each bucket?

Answers

Answer:

30/3=10

so every bucket gets 10 liters

Step-by-step explanation:

There are 60 calico cats at the animal shelter if this represents 30% of the cats in the shelter how many total cats are there

Answers

Answer: 200 cats in total

Step-by-step explanation:

60 calico cats represents 30% of the total cat population in the shelter.

That means that if we find 30% of the total number of cats, the number we will get is 60.

Assuming the total is x, representing this in equation form makes it:

x * 30% = 60

x = 60 / 30%

x = 200 cats in total

Problem: Jessica ordered a pizza. One-half of the pizza had pepperoni only, one-sixth of the pizza had mushrooms, and the rest of the pizza was cheese only. What fraction of the pizza was cheese only?

Answers

Answer:

1/3 of the pizza

Step-by-step explanation:

Number of pizza ordered = 1

pepperoni only part = One-half of the pizza = 1/2 of the pizza

Mushrooms part = one-sixth of the pizza = 1/6 of the pizza

Cheese only part = x

Total pizza = pepperoni only part + Mushrooms part + Cheese only part

1 = 1/2 + 1/6 + x

1 = (3+1) /6 + x

1 = 4/6 + x

1 - 4/6 = x

x = 1 - 2/3

= (3-2) / 3

x = 1/3 of the pizza

Cheese only part = x = 1/3 of the pizza

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Which of the following resulted from the Black Death in England? Find cot theta if 180 < theta < 270 and cos theta = - sqrt 3/2 If a line contains the points in the tablet below, which is the equation of the line What are the most of Africa's workers employed in? steoporosis and related low bone mass affect many adults in North America, especially older women. One-third of all women experience fractures because of this disease, amounting to about 2 million bone fractures per year. Osteoporosis is a disease you can do something about. Some risk factors cannot be changed, but others, such as poor calcium intake, can. Is this true for you what is the chemical reaction for respiration d) What fraction is equal to 50% of 1/4 Plzzz tell ans but not for points okkkkay if u ans for points i will report plz telllllll An army of clone warriors is quadrupling every year. If the army started with only one warriornamed Clone Alpha, how many clones will there be in a decade?A) 262,144 clonesB) 4,194,304 clonesC) 1,048,576 clonesD 10,485,760 clones What is the value of x in the equation 4-3x+5x=12 A 2.0kg cart moving right at 5.0 m/s on a frictionless track collided and sticks to a 3.0 kg cart moving left at 3.0 m/s. What is the final speed of the carts? Where is the coefficient in 5/7+c Write an inequality to model the solutions shown on the number line below. Why was Joe getting emotional during the banquet and who does he lookaround for during the parade? * Paper clips, nails, and scissors all act as which of the following?electromagnetsion magnetstemporary magnets In commensalistic relationships one organism benefits and the other organism..... A. is harmedB. are neither helped nor harmed (are unaffected)C. is also benefited Which two Soviet leaders are MOST closely associated with installing liberal reforms that led to a decrease in repressive government policies?A) Mikhail Gorbachev and Joseph Stalin B) Leonid Brezhnev and Georgy Malenkov C) Georgy Malenkov and Nikita Khrushchev D) Nikita Khrushchev and Mikhail Gorbachev What is 2, 3, 4????????? A DSM diagnosis canO tell us very clearly how a person will behave in the futureO provide a detailed description of the person's unique characteristicsO be used as a general label to understand a person's problemtell us the factors that led to the particular disorder Select the group of words that is punctuated correctly.A.Here are the directions to the stadium; Turn left on Main Street. Next, follow Main Street to High Street. Turn right on High Street, and the stadium is on the left.B.Here are the directions to the stadium Turn left on Main Street; next, follow Main Street to High Street; turn right on High Street, and the stadium is on the left.C.Here are the directions to the stadium: Turn left on Main Street; next, follow Main Street to High Street; turn right on High Street, and the stadium is on the left.D.Here are the directions to the stadium, turn left on Main Street. Next, follow Main Street to High Street. Turn right on High Street, and the stadium is on the left.