Bryce took a quiz that consisted of true-or-false questions and multiple-choice questions. The true-or-false questions were worth 1 point each, and the multiple-choice questions were worth 2 points each. Bryce only knows that he answered 8 questions correctly and earned a total of 14 points. To determine the number of each type of question that he answered correctly, he wrote the system of linear equations x + y = 8 and x + 2 y = 14.

Which ordered pair is a solution to this system of linear equations, and what does the ordered pair represent?
(0, 8); Bryce answered 0 true-or-false questions correctly and 8 multiple-choice questions correctly.
(2, 6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
(6, 2); Bryce answered 6 true-or-false questions correctly and 2 multiple-choice questions correctly.
(8, 0); Bryce answered 8 true-or-false questions correctly and 0 multiple-choice questions correctly.

Answers

Answer 1

Step-by-step explanation:

he answered seven of the multiple choice questions and answered one of the true or false questions that is;

7×2+1=14

Answer 2

The ordered pair is a solution is (2, 6).

Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.

The correct option is (B).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x + 2y = 14............(1)

x + y = 8

x = 8 - y.................(2)

Solving equation (1) and (2), we get

8 - y + 2y = 14

y + 8 = 14

y = 14 - 8

y = 6

and, x + y = 8

x + 6 = 8

x = 8 - 6

x = 2

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2


Related Questions

find the perimeter of a square whose area is 441 sq km?

Area of perimeter = 441 sq cm
(side)2 =
[tex] \sqrt{441} [/tex]
=21
the perimeter of sq= 4×side
= 4×21
84



Answers

Answer:

Area of perimeter = 441 sq cm

(side)2 =

[tex] \sqrt{441} [/tex]

=21

the perimeter of sq= 4×side

= 4×21

84

round off 4,449999 to one place​

Answers

Answer:what we should do?

Step-by-step explanation:

Answer:

There is nothing to be rounded off

Step-by-step explanation:

i need help with this plz :)

Answers

Answer:

Assuming the wall is flat, X = 50.5

Step-by-step explanation:

180 degrees - 79 degrees = 101

101 / 2 = 50.5

Hope this helps :)

x = (180-79)/2 = 50.5 degrees

Mr. Dotson wants to know if the neighbors on his street would be interested in a community watch. He surveys every fourth household and concluded that 70% would be interested

Answers

Answer:

The answer is "This is true since it is a random systematic  sample".

Step-by-step explanation:

In the given scenario, Systemic random sampling involves the random sampling method which often involves the collection of samples onto an interval system in such a numbered group of people based on the premise/base. It also is a selection of samples at a particular preset interval.

Calculate the sampling interval and fix it quickly. (The sample population divided with several selected components needed).Take a random value between 1 to a sample interval. Replicate the sample size to choosing all additional sections.

The price of an item is p dollars. The store owner decides to mark this price up by 35%. Which expression correctly describes the new price?

Answers

Answer:

The answer is 135p.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

P + 0.35p

Step-by-step explanation:

Help lol easy
You are having a bake sale and selling cupcakes. It cost you $.15 to make each cupcake. If you sold each cupcake for $1.00, what would your profit be on each cupcake?

Answers

Answer:

0.85 DOLLARS

Step-by-step explanation:

just help if you cannnnnnnnnnnnnnnnnnnnnnnnnn

Answers

Answer:

A) you need more information to determine the domain.

Step-by-step explanation:

You can't find an answer just by looking at it. Think of it like you are just guessing.

Combine Rationa25 points do all pls

Answers

Answer:

Sorry

Step-by-step explanation:

Sorry

solve for x
I'm not sure of the way I answered it so can anyone help plz​

Answers

Answer:

x = √76

Step-by-step explanation:

in upper triangle :

7² - 3² =40 so the third side of the upper triangle is : √40

in the biggest triangle :

(3+3)² + 40 = 76 so the another side of the biggest triangle is : √76

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

24cm^2

Step-by-step explanation:

Can I get brainliest plzzzzzz I need it

...............It should be 40cm^2

Write the equation for the yellow line. (please help)

Answers

Answer:

5 2 thats them so 5 2 that them

plzzz helpppp reward brainliestttt

Answers

Answer:

The answer of this question is,

The answer of first question is point 2 and the answer of second question is point 3, look at the picture

HI HELP THANK YOU LOVE U SM BAES

Answers

the answer is b 1/2 <3

A box in the shape of a rectangular prism is approximately 9 inches long,has an equilateral triangle shaped base with side lengths of 3 inches. The height of the triangular shaped base is 2.5 inches. How many cubic inches of styrofoam peanuts can can be place inside the container?

Answers

Answer:

33.75 cubic inches of styrofoam can be placed inside the container.

Step-by-step explanation:

Based on given information, the volume of the prism ([tex]V[/tex]), in cubic inches, is determined by using this formula:

[tex]V = \frac{1}{2}\cdot b\cdot h \cdot l[/tex] (1)

Where:

[tex]b[/tex] - Base of the triangular face, in inches.

[tex]h[/tex] - Height of the triangular face, in inches.

[tex]l[/tex] - Length of the prism, in inches.

If we know that [tex]b = 3\,in[/tex], [tex]h = 2.5\,in[/tex] and [tex]l = 9\,in[/tex], then the volume of the prism is:

[tex]V = \frac{1}{2}\cdot b\cdot h \cdot l[/tex]

[tex]V = 33.75\,in^{3}[/tex]

33.75 cubic inches of styrofoam can be placed inside the container.

Hey guys I need help with this right quick...got some time to help????

Answers

Answer=18
3x4=12
12x6=72
72x1/4=18

a shop keeper M sells some goods to N and makes a profitbof 15%.N resells to P at a loss of 5%.If P pays birr 13.11 how much did M pays for the goods?​

Answers

Answer:

15.83

Step-by-step explanation:

13.11 / 100 = 0.1311

0.1311*5=5%=0.6555

13.11+0.6555=13.7655

13.7655/100=0.137655 * 15 -->15%=2.064528

13.7655+2.064528=15.830325

Answer:

ya the 15 sth like that I think

How much do I have to deposit today in order to have $5000 in 5 years if interest is 8.5% compounded annually?

Answers

Answer:

PV= $3,402.9

Step-by-step explanation:

Giving the following formula:

Future Vale (FV)= $5,000

Number of years (n) 5 years

Interest rate (i)= 8.5% compounded annually

To calculate the initial investment (PV), we need to use the following formula:

PV= FV / (1 + i)^n

PV= 5,000 / (1.085^5)

PV= $3,402.9

A right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6). What is the area of the triangle in square units?​

Answers

Answer:

the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?

Step-by-step explanation:

The area of the triangle is equal to 25√2 square units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that a right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6).

The area will be calculated as,

Side = √ [ ( -3 + 2 )² + ( -2 - 5 )² ]

Side = √ ( 1 + 49)

Side = √50

Base = √ [ ( 6 + 3 )² + ( -1-2)² )

Base = √ ( 81 + 9 )

Base = √100

The area will be calculated as,

Area = (1/2) x B x H

Area = (1/2) x √50 x √100

Area = (1/2) x √50 x 10

Area = 5 x √( 25 x 2 )

Area = 25√2 square units

To know more about coordinate geometry follow

https://brainly.com/question/19044159

#SPJ5

b) –3/5x + 5 + x = –7
Pls daje naj

Answers

Answer:

x = -30

Step-by-step explanation:

I'm assuming you want us to find the value of x, so:

–3/5x + 5 + x = –7

Subtract 5 from both sides

-3/5x + x = -12

multiply by -1

3/5x - x = 12

add like terms:

-2/5x = 12

multiply by -2.5

x = -30

33% of US adults say they are more likely to make a purchase during a sales tax holiday you randomly select 10 adults find the probability that the number of adults who say they are more likely to make purchases during the sales tax holiday is exactly 2

Answers

Answer:

0.199

Step-by-step explanation:

p = 33% = 0.33

1 - p = 1 - 0.33 = 0.67

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 2) = 10C2 * 0.33^2 * 0.67^8

P(x = 2) = 45 * 0.1089 * 0.0406067677556641

P(x = 2) = 0.19899346538663192205

P(x = 2) = 0.1989

P(x = 2) = 0.1990

I WILL MARK AS BRAINLIST The quantities x and y are proportional Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given that x and y are proportional and the equation relating them is

y = rx ← r is the constant of proportionality

To find r use any ordered pair from the table

Using x = 9, y = 4.5 , then

4.5 = 9r ( divide both sides by 9 )

[tex]\frac{4.5}{9}[/tex] = r , that is

r = [tex]\frac{1}{2}[/tex]

The correct answer is 1/2

A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remainder of the eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?

Answers

W + 46 = 231
so
W = 185

Answer:

46 + w = 231

hope this helped

Find the length of x.

Answers

Answer: 3

Step-by-step explanation:

can someone please help me with this i will give brainliest

Answers

Answer:

E

Step-by-step explanation:

15*10*20

Follow the volume of a rectangular prism formula which is l*b*h.

It will equal to 3000cm^3

60 POINTS! RIGHT ANSWERS ONLY PLEASE

Which of the following is a binomial experiment?

Rolling a six-sided number cube and recording the number until a 5 comes up

Rolling a six-sided number cube and recording the number until an odd number comes up

Rolling a six-sided number cube 24 times and recording the number that comes up

Rolling a six-sided number cube 24 times and recording if a 5 comes up

Answers

Answer: Rolling a six-sided number cube 24 times and recording if a 5 comes up

Thank you for being so generous with the points!! <3

Mrs. Huffman is buying a dog for her daughter, Anna. The dog can be male or female. It can be a Goldendoodle, Collie, or Retriever. The dog can be small, medium, or large. ​ What is the probability that Anna randomly chooses a male Goldendoodle of any size?

Answers

Answer:

1/2

Step-by-step explanation:

there ARE ONLY TWO GENDERS

THE dog can be male or female =

sum genders = 2

probability of been a male = 1/2

help and explain your thinking please

Answers

Answer:

y=mx+b

Step-by-step explanation:

the equation would be y= 3/4 + 3

the rise is 3

the run is 4

the line runs through 3 on the y intercept.

What is the −∣−14∣= [value1]

Answers

Answer:

-14

Step-by-step explanation:

The absolute value of -14 is + 14.  If prefaced with a " - " sign, |-14| comes out as -14:

-|-14) = -14

for brainiest:):):):):):):):):)

Answers

Answer:

1 is 21 i think

and 2 is 56 i think

Step-by-step explanation:

giimme brainly if right

Sue has 200 m&m's. She plans on eating half of what she has each day. How many
candies will she have on the fourth day?

Answers

Answer:

She will have 50 left

Step-by-step explanation:

200 / 4 = 50

50


200-50=150 day2
150-50=100 day3
100-50=50 day4
Soooooooo...50 is your awnser
Other Questions
What is the unit for efficiency?What is the biggest number theefficiency can be?How do you work out the % efficiency? which sentence contains a noun clause? which phrase best completes the list (please help im really struggling) Write an equation in slope intercept form of the line that passes through the points (4,13) and (8,18)A. y=2.5x+3B. y=1.5x+7C. y=2x+5D. y=1.25x+8 PLEASE ANSWER ASAP!!!!!!!!!!!! Which planet has the most similarities as the earth? LiteracyTake a look at "Five Ways To Cut Spending." It says that waiting can keep you from makingimpulse buys. Why would this be true?AYou may have time to make a shopping list before you leave home.BYou may change your mind about spending that money after all.You will have time to see the item you want to buy on TV.DYou will be carrying ley and have less money to spend.+Submit Which detail from the passage best describes how Laura is affected when sheoverhears the "in" group talking?"Laura flushed painfully. Were they talking about her?" (Paragraph 4)"It was as if an invisible hand tugged at Laura's sleeve." (Paragraph 12)"she saw the 'in' group, laughing and joking and whispering." (Paragraph 18)"Most people.' Laura continued, 'most people don't care enough about others."(Paragraph 31) 80 is what percent of 120 ) If the blood viscosity is 2.7x10-3 Pa.s, length of the blood vessel is 1 m, radius of the blood vessel is 1 mm, calculate the tubular resistance of the blood vessel (in GPa.S/m3 ). If the blood pressure at the inlet of the above vessel is 43 mm Hg and if the blood pressure at the outlet of the above vessel is 38 mm Hg. Calculate the flow rate (in ml/min). Please answer this correctly!!! Which equation can be used to find the nth term of the sequence, an?30, 26, 22, 18, 14, ...A = an=4n+34B = an=4n+30C = an=304nD = an=344n Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve. 7 cm2 10 cm2 20 cm2 21 cm2 Organelles that use energy from sunlight to produce food are called mitochondria O TrueO False what set builder notation is = (2,3,5,7,11)this p In what THREE ways are the passages similar?A. Both have details from real settings. B. Both mention George Washington.C. Both have made-up characters. D. Both have real historical details.E. Both takes place during the yellow fever epidemic. How community and public policies are organized and enacted? PLEASE HELP ME!! ANSWER ASAP!! NO LINK FILE "A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that no more than 1% are defective." What caused thesectionalismbetween northern Free States & southern Slave States?