150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.​

Answer:

x=10, y=-6

Step-by-step explanation:

1) express x from the first equation x+y=4 x=4-y

2) It is the system of equations, so both equations are simultaneous.

you can replace x to 4-y in the second one

2 *(4-y) +3y=2

8-2y+3y= 2

y=-6

x= 4-y=4-(-6)=10

The answer is x=10, y=-6

Answer:

D y=2/3 x +1

  y= -3/2 x+2

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

The equations are written in slope intercept form

y = mx+b where m is the slope

A 1/5* 5 = 1  not perpendicular

B 2/3 * 3/2 = 1  not perpendicular

C -1/5 * -5 = 1  not perpendicular

D 2/3 * - 3/2 = -1   perpendicular

Answer:

C = 6.28 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d where d is the diameter

C = 3.14(2)

C = 6.28 ft

what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie

A. 6.28ft

B. 12.56ft

C. 5.14ft

D.3.14ft

Formula for getting the circumference

[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]

Given data :

Diameter = 2 ft

π = 3.14

Radius = diameter/2 = 2 ft/2 = 1 ft

So the circumference is

Therefore, the perimeter is 6.28 ft

Answer:

The rate of change of the top of the ladder with respect to x is -x/y

Step-by-step explanation:

The given parameters are;

The length of the ladder = 10 ft.

The horizontal distance of the bottom of the ladder from the wall = x

The distance of the top of the ladder from the floor = y

By Pythagoras's theorem, we have;

10 = y² + x²

Therefore, we have;

x² = 10 - y²

d(x²)/dx = 2·x =  d(10 - y²)/dx = -2·y·dy/dx

∴ 2·x = -2·y·dy/dx

dy/dx = 2·x/(-2·y) = -x/y

Therefore, the rate of change of the top of the ladder with respect to x, dy/dx = -x/y.

Answer:

[tex]\frac{x+4}{4x-4}[/tex]

Step-by-step explanation:

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

Answer:

10.52

Step-by-step explanation

Answer:18 ft

Step-by-step explanation:

Got it right on edg 2021

Answer:

B

Step-by-step explanation:

It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102

Answer:

it should be 90 I could be wrong

Answer:

16

Step-by-step explanation:

if angle c is 45 then angle A is 45 also

Hence AB is equal to BC

Answer:

(x-4)^2-9 where a=4 and b=9

Step-by-step explanation:

x^2-8x+5

x^2-8x+16-16+5

(x-4)^2-9, a=4 and b=9

This is a isoceles triangle so base angles will be equal.

Therefore

ATQ

55 + 55 + x = 180

110 + x = 180 (Angle Sum Property)

x = 180 - 110

x = 70

Therefore x° = 70°

Answered by Gauthmath must click thanks and mark brainliest

Answer:x°=70°

Step-by-step explanation:

This is an isoceles triagle because the values on the sides of the figure are the same. Therefore the base angles will be equal.

55+55+x=180

110+x=180

Next, you will subtract 110 from both sides.

110+x=180

-110     -110

x°=70°

Answer: P (4 or even) = 1/2 = 50% = 0.5

Step-by-step explanation:

Concept:

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers: 6

Numbers of 4 = 1

Numbers of even = 3

[Since 4 is one of the even numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]

P (4 or even) = Favorable / Total (refer to attachment)

P (4 or even) = [(1 + 3) - 1] / 6

P (4 or even) = (4 - 1) / 6

P (4 or even) = 3 / 6

P (4 or even) = 1 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1

Step-by-step explanation:

a pair of coordinates defines a first number x, and as second number y (or the functional result).

so, we need to find the value of x that leads to 2 as functional result.

2 = x² + 1

1 = x²

x = 1

Step-by-step explanation:

do like the picture I sent

Answer:

d) 7.61​

Step-by-step explanation:

384.085 ÷ 50.5 = 7.605643

d is the only possible value (u get it when u round up to 3 sf)

Answer:

Step-by-step explanation:

384.085 d i v i d e d  b y 50.5

                   =  7.61

Answer:

No

7

Step-by-step explanation:

We can start by factoring 392 to see whether it is a cube. 392 is obviously divisible by 2 because the last digit is even, and dividing by two we get:

392 = 2 x 196

Again, 196 is divisible by 2, so we get:

392 = 2 x 2 x 98

And 98 is also divisible by 2:

392 = 2 x 2 x 2 x 49

49 is 7 times 7, so we can finish the prime factorization of 392:

392 = 2 x 2 x 2 x 7 x 7

This is the same as:

392 = 2^3 x 7^2

We can see 392 is not a cube because both numbers are not raised to a power divisible by 3.

In order to turn it into a cube, we'd need to make both prime factors raised to the power of a multiple of 3. 2 is already raised to one, but 7 is raised to the power of 2. In order to make that two divisible by 3, we can multiply by 7 so that our number is 2^3 x 7^3(2744), and this would be a cube(It's 14 cubed).

Answer:

37.68

Step-by-step explanation:

The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68

[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]

[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]

Answer:

69.3

Step-by-step explanation:

if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3

Answer:

20.53 minutes

Step-by-step explanation:

Speed = Distance/Time = 30/7

Time = Distance / Speed

= 5280/30/7

= 1232 seconds / 60 = 20.53 minutes

Answered by Gauthmath

Answer:

a. What is the explanatory variable (independent variable)? (1 point)

Number of fans sold.

b. What is the response variable (dependent variable)? (1 point)

Outside temperature.

c. Circle the best range for the correlation coefficient. (1 point)

(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.

Step-by-step explanation:

I got it right on AP3X. Hope this helps!

Answer:

300

Step-by-step explanation:

3:120 =1:60 ==300:12000

Lets do

[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]

[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]

Simplified ratio is

[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]

Answer:

1        : 3     : 5

Step-by-step explanation:

$150 : $450 : $750

Divide each by 150

$150/150 : $450/150 : $750/150

1        : 3     : 5

Answer:

(2z-5)(2z-3)

if the "A" term in a quadratic Ax^2 + Bx + C is NOT a "1"

first check to see if there is a commpon factor of a,b,c that can be pulled out

for example 2x^2 + 4x + 6 you can pull

out a 2.... 2(x^2 + 2x +3)

if not you multiply the values a*c

in you case 4*15 which is 60

now you factor the 60

1*60

2*30

-1*-60

-2*-30

10*6

-10*-1

etc

when you find the combination that ADDS UP TO THE B TERM

you rewrite the B term using the factors you forud...

SO -16z becomes -10z - 6z

put it in the original problem

4z^2 -10z - 6z + 15

if you get this far , the GROUPS WILL ALWAYS WORK

pull out a 2z from "4z^2 -10z"

and pull out a -3 from "- 6z + 15"

and magically you will see that the "left over stuff" is the same

2z(2z-5) -3(2z-5)

pull out common item

(2z-5) (2z-3) ... all done

Step-by-step explanation:

multiple AC ... 15*4 = 60

factor 60  to end up with -16

-10 * -6 = 60

rewrite (factor by grouping)

4z^2 -10z - 6z + 15

find groups

2z(2z-5) -3(2z-5)

(2z-5)(2z-3)

Answer:

y = 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

The line passes through (0, 6 ) ⇒ c = 6

y = 2x + 6 ← equation of parallel line

Answer:

c² = n²

Step-by-step explanation:

Given the 2 equations

a² + b² = c² → (1)

a² + b² = n² → (2)

Substitute a² + b² = c² into (2)

c² = n²