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.
1. (2, 6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
2.(6, 2); Bryce answered 6 true-or-false questions correctly and 2 multiple-choice 3.questions correctly.
4. (8, 0); Bryce answered 8 true-or-false questions correctly and 0 multiple-choice questions correctly.

Answer:

MO = 22 units

Step-by-step explanation:

To solve this problem, you have to set the equations equal to each other. Since we are given that N is the midpoint, MN and NO are going to be equal to each other.

Set them equal and solve for x:

2x+3 = 3x-1

Subtract 2x from the right to get the variable on one side and add 1 to the right side.

4 = x

Now that we know what x is, you can plug it into the equation and add them together

2(4)+3 = 11

3(4)-1 = 11

11+11 = 22

Hope this helps :)

Answer:

I think is 10 because 2 negatives make a positive and 2 would make the answer -10

Answer:

$ 1,001,258

Step-by-step explanation:

Revenue in economics is the profit without the deduction of costs to sell. To find the revenue, multiply the quantity by its given price. Lastly, add all of the numbers up to get the revenue.

The revenue of the stadium is:

(Price 1 × Quantity 1) + (Price 2 × Quantity 2) + .....

(4000×75) + (5350×62) + (7542×49) =

1001258

Answer:

[tex] {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ [/tex]

hope that step is enough to give you the two values of y, coz I gat no calc here with me.

hint: use the quadratic equation

Answer:

ECHA

Step-by-step explanation:

Answer

The answer is +200 or 200.

Please correct me If I am wrong

This is what my teacher taught me

Step-by-step explanation:

Answer: she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in [tex]\dfrac23[/tex] of an hour = [tex]4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}[/tex]

[tex]=\dfrac{29}{6}[/tex] miles

Distance run by Jasmine in 1 hour = [tex]\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}[/tex] miles.

[tex]=6\dfrac{5}{4}[/tex]   miles.

Hence, she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Answer:

It is A

Step-by-step explanation:

Step-by-step explanation:

By Descrates' Rule of Signs,

x² + 99x + 127 changes sign 0 times.

Hence it has 0 positive roots.

Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.

Hence both the roots are negative. (B)

Answer:

Hi Aarav

Your answer in attached below

LoL

Answer:

9 days

Step-by-step explanation:

First, write the equation for Daniel's situation:

D = 17t + 49

Then, write the equation for Audrey's situation:

A = 20t + 22

Then, set these equations equal to each other and solve for t to find when they will be on the same page:

17t + 49 = 20t + 22

Solve for t:

17t + 49 = 20t + 22

49 = 3t + 22

27 = 3t

9 = t

So, they will be on the same page 9 days into the month.

Answer:

y = -3x - 3

Step-by-step explanation:

the y-intercept is -3 as shown in the graph, so, b = -3

if you count, the rise is 3 and the run is -1, so the slope will be -3/1

-3/1 equals to -3

y = -3x - 3

Answer:

y = –3x – 3

Step-by-step explanation:

m = the slope which is 3/1, or 3. Since the line is going from the bottom right corner to the top left, it is a negative slope so –3.

b = the y-intercept which is –3.

So,

y = –3x – 3

Answer:

The variable should be m=minutes

The equation should be 25m=175

Thus the answer being 7 minutes.

Given:

Expression is

[tex](3x+4)^2-(x-10)^2[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex](3x+4)^2-(x-10)^2[/tex]

Using [tex](a+b)^2=a^2+2ab+b^2[/tex] and [tex](a-b)^2=a^2-2ab+b^2[/tex], we get

[tex]=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2][/tex]

[tex]=9x^2+24x+16-[x^2-20x+100][/tex]

[tex]=9x^2+24x+16-x^2+20x-100[/tex]

On combining like term, we get

[tex]=(9x^2-x^2)+(24x+20x)+(16-100)[/tex]

[tex]=8x^2+44x+(-84)[/tex]

[tex]=8x^2+44x-84[/tex]

Therefore, the correct option is c.

Hello!

[tex]\large\boxed{x = 4.21in}[/tex]

Use the Pythagorean Theorem to solve:

a² + b² = c²

We are given the Hypotenuse (c) and one of the legs (b), so we can plug those values in to solve for a:

a² + (6.8)² = 8²

a² + 46.24 = 64

Subtract 46.24 from both sides:

a² = 17.76

Square root both sides:

a = √17.76

a ≈ 4.21 = x

Answer:

1760 sqft

Step-by-step explanation:

10% is 0.1 in decimal, since its increasing, it would be 1.1

1600 times 1.1 is 1760.

Answer:

Your friend is wrong.

Step-by-step explanation:

Since we have that you spend c dollars for p identical pairs of pants. We can represent this using:

C = kP.

Where k is the price for one pair of pants whereby the amount of dollars you spend depends on the number of pants picked.

C is the dependent variable here, depending on P and P is independent. Therefore, you have only one independent variable which is P.

Answer: 4

Step-by-step explanation:

Answer:

Slope of the tangent line at x=-1

[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]

Step-by-step explanation:

Explanation:-

Given function

                            y = f(x) = e ˣ⁻⁴  ...(i)

       Differentiating equation (i) with respective to 'x' , we get

                         [tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]

                       [tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]

Slope of the tangent line

                       [tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]

Answer:

$3623.85

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Compounded Interest Formula: [tex]A=P(1 + \frac{r}{n} )^{nt}[/tex]

Step-by-step explanation:

Step 1: Identify Variables

P = 3000

r = 0.065

n = 1

t = 3

Step 2: Find Final Amount A

Answer:

if it is perpendicular then it would be 5 and only the slope would change from 2x to -1/2x

Hope I answered your question

Answer:

B'(- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

Answer:

∆XYZ is a equilateral triangle

hence, angle X, angle Y and angle Z =60° each

2x-4=60

2x=64

5y=60

Answer:

2.053 hours

Step-by-step explanation:

From the question,

A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour.

If Brian keeps his pace, how long will it take him to run a half marathon?

This is calculated as:

6 1/3 miles = 1 hour

13 miles = x hour

Cross Multiply

6 1/3 miles × x hour = 13 miles × 1 hour

x hour = 13 miles × 1 hour/6 1/3 miles

x hour = 13 ÷ 6 1/3 miles

x hour = 13 ÷ 19/3

x hour = 13 × 3/19

x hour = 39/19

x hour = 2.0526315789 hours

Approximately = 2.053 hours

It will take him 2.053 hours to run a half marathon.

Answer:

1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3

Step-by-step explanation:

Answer:

1.4 times is the correct answer

Answer:

x < [tex]\frac{33}{4}[/tex]

Step-by-step explanation:

Given

- 4x + 35 > 2 ( subtract 35 from both sides )

- 4x > - 33

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < [tex]\frac{33}{4}[/tex]

Answer:

the answer would be graph C

Step-by-step explanation:

also the next time you have a question like this, you can use Desmos is a free graphing platform, thats how I answered this!

Good Luck and have a good day!

Answer:

number of dimes is 8

number of quarters is 15

Step-by-step explanation:

let 'd' = number of dimes

let 'd+7' = number of quarters

.10d + .25(d + 7) = 4.55

.10d + .25d + 1.75 = 4.55

.35d = 2.80

d = 8

q = 7 + 8