4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. Write a system of equations to determine how many of each type of question are on the test. A) Define your variables. You can use any letters you want) B) Write your system of equations. (There should be 2 separate equations)​

Answer:

Step-by-step explanation:

let the side of triangle=x

hypotenuse=x+4

(x+4)^2=x^2+x^2

x^2+8x+16=2x^2

x^2-8x-16=0

x²-8x=16

x²-8x+16=16+16=32

(x-4)²=16×2=(4√2)²

x-4=±4√2

x=4±4√2

either x=4+4√2=4(1+√2)

or x=4-4√2=-4(√2-1)<0 (rejected)

leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm

hypotenuse≈8.83+4=12.83 cm

In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)

Answer:

11/20x + 4

Step-by-step explanation:

Well you can jsut solve it normally following the order of operations.

So first you can distribute -(1/4x-1) which turns into 1/4x+1

4/5x+3+1/4x+1 combine like terms and you’d hey 11/20x +4

Answer: 131.76 calories

Step-by-step explanation:

110 calories          x

----------------- = ----------------

177.4 grams     212.5 grams

cross multiply and divide

(110x212.5)

23, 375 / 177.4 grams

x= 131.76

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

[tex]a=b*h\\a=20*21\\a=420[/tex]

And then the area of the triangle is:

[tex]a=\frac{420}{2}\\a=210[/tex]

Step-by-step explanation:

245=50+1s. /-50

195=1s

s=195

Answer:

use pythogoras therom to solve it and its say to find base its formula is h square - psquare

Answer:

2/8 and 4/8

Step-by-step explanation:

Answer:

2/8,4/8 or 1/4,1/2

Step-by-step explanation:

3+1=4 3-1=2

2/8=1/4

4/8=1/2

Answer:

10 pi

Step-by-step explanation:

circumference of the circle equals = 2π R = 2*pi* radius

so circumference = 2*5*π = 10π = 10 pi (in terms of pi)

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.

Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2π(5)

C = 10π

Therefore, the circumference of the circle is 10π inches.

Answer:

54 wrapping papers sold

Answer:

B) 26,400

An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?

13,200

26,400

39,600

79,200

158,400

26400 yards of cable is used.

the answer is B) 26,400

What is unit conversion?

Unit conversion is the process of changing a physical quantity from one unit of measurement to another. For example, converting kilometers to miles, Celsius to Fahrenheit, or liters to gallons. The process involves multiplying or dividing the original measurement by a conversion factor, which is a ratio of equivalent units

To convert miles to yards, we need to multiply by the conversion factor of 1 mile = 1760 yards.

15 miles * 1760 yards/mile = 26,400 yards

So, the electrician will use 26,400 yards of cable.

Hence, 26400 yards of cable is used.

the answer is B) 26,400

To learn more about the unit conversion, visit:

https://brainly.com/question/97386

#SPJ1

Answer:

50% decrease

Step-by-step explanation:

130-65 = 65

65/130 = 0.5

0.5 x 100 = 50

Answer:

1/10

Step-by-step explanation:

Answer:

x=100 degree's

Step-by-step explanation:

Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.

Answer:

pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.

Answer:

 45

---------

(2 - x)

Step-by-step explanation:

That would be:

 45

---------

(2 - x)

Also valid:  45/(2 - x)

Answer:

-8

Step-by-step explanation:

u just do the 2x8 first

Hi! So in equations similar to this, you will need to use PEMDAS.

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now that you know this, reevaluate your equation.

7-2x8+1

Firstly, you must multiply -2 and 8. Leaving you with -16.

7-16+1

Next, subtract 16 from 7.

-9 + 1

Finally, add -9 and 1.

-8

Your final answer is -8.

Answer:

x= -y-z

y= -x-z

z= -x-y

i think this is it

Answer:

complete the question pls

Step-by-step explanation:

Answer:

3

2

Step-by-step explanation:

The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.  

Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,

stream gradient = vertical change in elevation / horizontal distance

where

vertical change in elevation = 30 feet

horizontal distance = 2640 feet

stream gradient = 30 / 2640

stream gradient  = 0.01136363636

read more: https://brainly.com/question/13750927?referrer=searchResults

Answer:

x^4 + 8x^2 + 8x^3 - 32x - 48

Step-by-step explanation:

You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2

There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48

Answer:

x^4 + 8 x^3 + 8 x^2 - 32 x - 48

Hope This Helps!!!

9514 1404 393

Answer:

  f(x) = -1/3x +23/3

Step-by-step explanation:

You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:

  f(x) = -1/3x +23/3

__

Approaching this in the usual way, we recognize we have points ...

  (-1, 8) and (5, 6)

The slope of the line through those points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (6 -8)/(5 -(-1)) = -2/6 = -1/3

Then the point-slope equation of the line is ...

  y - 8 = -1/3(x +1)

Adding 8 gives us a form we can use for a function definition:

  f(x) = -1/3(x +1) +8

  f(x) = -1/3x +7 2/3

Answer:

false i think

Step-by-step explanation:

16+1=17-1=16-2=14

Answer:

(2,5)

(3,8)

(4,13)

(5,12)

(6,18)

(7,20)

Plug those into the scatter plot graph

Step-by-step explanation:

The left side is the x axis and the right side is the y axis

Answer:

130 Miles

Step-by-step explanation:

Answer:

  16.6 ft^2

Step-by-step explanation:

1 foot = 0.3048 meter

  1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2

  ≈ 16.6 ft^2

_____

Additional comment

The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.

Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.

...ok and?

finish the question

Answer:

Step-by-step explanation:

[tex]\frac{1}{5}+\frac{1}{3}+x=1[/tex]

[tex]\frac{3}{15}+\frac{5}{15}+x=\frac{1.15}{15}[/tex]

[tex]\frac{8}{15} + x=\frac{15}{15}[/tex]

[tex]\frac{8}{15} - \frac{8}{15} + x=\frac{15}{15}-\frac{8}{15}[/tex]

[tex]x=\frac{7}{15}[/tex]

I think you are missing the question but I bet you are looking for the rest of chocolate in the box.

Answer:

6

Step-by-step explanation:

x coordinate goes left and on 6 line

y coordinate goes up and on 1 line

(x, y)

(6, 1)

x coordinate is 6

Answer:

Step-by-step explanation:

find the area of ​​the green rectangle and remove the area of ​​the yellow rectangle

(12 - 2) * (16 - 2) - (6 * 2.5) =

10 * 14 - 15 =

140 - 15 = 125m²

Answer:

x=9

Step-by-step explanation: