Solve the simultaneous equations
2x - 3y = 18
5x + 9y = -10​

Answer:

Step-by-step explanation:

[tex]V=\pi r^2h\\=\pi *4^2*3\\=48\pi[/tex]

Answer: $124

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

8 x + 4 y = 176

3x + 15 y = 335

Cost = sum of products (number of fruits x price per unit)

Where x is the price per orange and y is the price per apple.

We have to multiply the first equation by 3 ; the second equation by 8; and subtract the first equation to the second:

24x +120y =2680

24 x +12y = 528

_______________

108y =2152

Solving for y

y = 2152/108

y= 20

Replacing y =20 in any equation:

8x + 4 (20)=176

8x+80=176

8x =176-80

8x =96

x =96/8

x=12

Finally we have to calculate how much would two oranges and five apples cost.

2x+5y = 2(12)+5(20)= 24+100= $124

Answer:

Do it yourself

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{FG}{EG}[/tex] = [tex]\frac{28}{EG}[/tex] ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = [tex]\frac{28}{tan60}[/tex] ≈ 16.2 in ( to the nearest tenth )

--------------------------------------------------------------

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{28}{EF}[/tex] ( multiply both sides by EF )

EF × sin60° = 28 ( divide both sides by sin60° )

EF = [tex]\frac{28}{sin60}[/tex] ≈ 32.3 in ( to the nearest tenth )

This question is incomplete and has not be written correctly.

Complete Question:

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1/2 grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.

What is the mass of the larger humming bird?

Answer:

7 1/2 grams

Step-by-step explanation:

The mass of Bee humming bird is given in the question as = 1 1/2 grams

Mass of the larger humming bird = 5 times the mass of Bee humming bird

The mass of the larger humming bird is calculated as:

5 × 1 1/2 grams = 5 × 3/2 grams

= 15/2 grams = 7 1/2 grams

Therefore, the mass of the larger humming bird is 7 1/2 grams

Answer:

Step-by-step explanation:

A.

Answer:

27

Step-by-step explanation:

28/4 = 7

27/9 = 3

Answer:

is there any picture

Step-by-step explanation:

because I think I need a picture

Answer:

16.5 dollars

Step-by-step explanation:

4 by 11 inch pic

Answer:

a

Step-by-step explanation:

it hs explanasion

Answer:

we know that

the relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

Θ = tan⁻¹ (y/x)

so

Part a) (2, −2)---------> this point belong to the IV quadrant

r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°

remember that the point belong to the IV quadrant

so

Θ=360-45-----> Θ=315°

the answer part A) is 

(r,Θ)=(√8,315°)

Part b) (-1, 3)---------> this point belong to the II quadrant

r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°

remember that the point belong to the II quadrant

so

Θ=180-71.57-----> Θ=108.43°

the answer part B) is 

(r,Θ)=(√10,108.43°)

mark me branlest plz hope it helps

The answers are a) (r,θ) = (√8,315°) and b) (r, θ) = (√10,108.43°).

The relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

θ = tan⁻¹ (y/x)

so,

A) (2, −2 belongs to the IV quadrant,

r = √(x² + y²)

r = √(2² + (-2)²

r=√8

θ = tan⁻¹ (y/x)

θ = tan⁻¹ (2/2)

= 45°

The point belongs to the IV quadrant,

so,

θ = 360-45

θ = 315°

Therefore,

(r,θ) = (√8,315°)

B) (-1, 3) belong to the II quadrant,

r = √(x² + y²)

r = √(-1² + (3)²)

r = √10

θ = tan⁻¹ (y/x)

θ = tan⁻¹ (3/1)

= 71.57°

The point belongs to the II quadrant ;

so,

θ = 180-71.57

θ = 108.43°

Therefore,

(r, θ) = (√10,108.43°)

Learn more about polar coordinates click;

https://brainly.com/question/31904915

#SPJ2

Answer:

D

Step-by-step explanation:

Khan Academy

The model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.

Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.

We know that the y-coordinates of the regression line y=mx+c are (0,c) depicting that c is the y-intercept, corresponding x-coordinate is 0.

So, the model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.

Thus, The model predicts that a student who didn't study at all will have an average score of 373737 hours. So, the correct option is option D.

To get more about linear regression visit:

https://brainly.com/question/25987747

Answer:

19

Step-by-step explanation:

If you order the Numbers from Least to Greatest

3,9,29,50

9 and 29 are in the middle

(29 +9) Divided by 2 is 19 so your median is 19

Answer: 19

Step-by-step explanation:

The first thing you have to do is order the numbers from least to greatest: 3, 9, 29, 50.

Next you have to find out which number is in the middle, but since there are an even set of numbers there will be 2 numbers in the middle. The 2 numbers in the middle would be 9 and 29.

The next step is to find the mean, or average of 9 and 29. To find the mean of something you have add all the numbers together and divide the sum by the amount of number there are. So we would have to add 9+29 which is 38, then we have to divide 38 by 2 since there are 2 numbers. 38 divided by 2 is 19.

So that means the median is 19.

Answer:

0.1248

Step-by-step explanation:

To find area you multiply length and width.

Answer:

x2 - 4x - 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given function is

[tex]h(t) = -16t^{2}+128t[/tex]

The image attached shows the trajectory of the rocket in a height-time graph. Notice that the maxium point reached is (4, 256), which means after 4 seconds, the rocket has a maximum height of 256 feet. (c) and (d)

Additionally, a parabola is symmetrical, which means it takes the same time going up or down, therefore the rocket reaches the ground after 8 seconds. (a)

Now, when the rocket is 112 feet above the ground, we have

[tex]112 = -16t^{2}+128t[/tex]

Where we need to solve for [tex]t[/tex]

[tex]0 = -16t^{2}+128t-112[/tex]

Using a calculator, we have the solutions [tex]x_{1}= 1[/tex] and [tex]x_{2}=7[/tex], which means after 1 second and 7 second, the rocket is 112 feet above the ground. (b)

Answer:

part A : slope equals 3

part B : It takes 3 hours for a change in temperature

part C : -6

part D : the initial temperature was -6°C

part E : Y = 3X - 6

Answer:

18 ft³

Step-by-step explanation:

Answer:

18 ft^3.

Step-by-step explanation:

This is a 3*3*4 prism which has been cut in half diagonally.

So it's volume is 1/2 * 3 *3 * 4

= 1/2 * 36

= 18 ft^3.

Answer:

D. 9/20 = 45/100

Step-by-step explanation:

9x5=45

20x5=100

Answer:

D

Step-by-step explanation:

If you times 9 and 20 by 5, 9 will equal 45 and 20 will equal 100

Answer:

Option B

Step-by-step explanation:

Given: all the four-digit numbers are formed using the digits 1, 2, 3, and 4 such that no digit is used twice

To find: probability that number chosen lies between 2000 and 3000

Solution:

Probability refers to chances of occurring of some event.

Total number of numbers formed using digits 1, 2, 3, and 4 = [tex]4\times 3\times 2\times 1=24[/tex]

Numbers between 2000 and 3000 start with 2. So, first digit is fixed as 2. For remaining three digits, possibilities are 4, 3, 1

So, total number of numbers lie between 2000 and 3000 = [tex]3\times 2\times 1=6[/tex]

Probability that number chosen lies between 2000 and 3000 = total number of numbers lie between 2000 and 3000/Total number of numbers formed using digits 1, 2, 3, and 4 = 6/24 = 1/4

In percentage form, Probability that number chosen lies between 2000 and 3000 = [tex]\frac{1}{4}(100)=25\%[/tex]

Probability that a four digit number formed from 1,2,3,4 is between 2000 & 3000 = 25%

Total number of four digit numbers that can be formed by digits 1,2,3,4  (without repetition)

Possible outcomes for first digit = 4

Possible outcomes for second digit = 3

Possible outcomes for third digit = 2

Possible outcomes for fourth digit = 1

So, total ways in which mentioned 4 digit number can be formed = 4 x 3 x 2 x 1 = 24 ways

When number is between 2000 & 3000, it starts from digit 2

So, possible outcome for first digit = only 1 ( ie digit 2)

Possible outcomes for second digit = 3

Possible outcomes for third digit = 2

Possible outcomes for fourth digit = 1

So, total ways in which 4 digit number starting from digit '2' can be formed = 1 x 3 x 2 x 1 = 6 ways

Probability = Favourable outcomes / Total outcomes

6 / 24 = 0.25 = 25%

To learn more about Probability, refer https://brainly.com/question/743546?referrer=searchResults

Look at the attached picture

Hope it will help you...

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

Answer:

Step-by-step explanation:

its d

Answer:

Project 4 Score ; 41

Step-by-step explanation:

Assuming that Project 4's score is x;

( Project 1 + Project 2 + Project 3 + Project 4 ) / 4 ⇒ take to substituting the value of each Project, provided Project 4's score being x;

45 = 42 + 49 + 48 + x / 4 ⇒ combine like terms,

45 = ( 139 + x ) / 4 ⇒ let 4 be a common denominator among numerator terms,

45 = 139 / 4 + x / 4 ⇒ divide 139 over 4,

45 = 34.75 + x / 4 ⇒ subtract 34.75 from either side,

10.25 = x / 4 ⇒ Multiply either side by 4,

x = 41 = Score of Project 4,

Solution; Project 4 ⇒ 41

Step-by-step explanation:

Volume = 4/3 × [tex]\pi[/tex] r³

Volume = 4/3 × 3.14 × 7 × 7 × 7

Volume = 1436.03 cm³

The volume of the sphere with a radius of 7 units is 457.33π cubic units

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 4/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 7 units

Substitute the given parameters

V = 4/3(π) * 7^3

V = 4/3 * π * 343

V = 1372π/3

V = 457.33π cubic units

Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units

Learn more on volume of sphere here: https://brainly.com/question/10171109

#SPJ2

Answer:

Equations::

4c + 8t = 58

2c + 3t = 23

----------------

Modify for elimination:

4c (4c*1) + 8t (8t*1)= 58

4c (2c*2) + 6t (3t*2)= 46

---------------------

Subtract and solve for "t":

2t (8t-6t) = 12

t = $6 (cost of one table)

-----

Solve for "c":

2c + 3t = 23

2c + 18 = 23

2c = 5

c = $2.50 (cost of one chair)

Answer:

A.

Step-by-step explanation:

I TOOK THIS CLASS LAST YEAR.

Answer:

(a+b)6= a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6

Step-by-step explanation:

Answer:

the answer is C

the following question is B

Step-by-step explanation:

edge 2020

Answer

-13=x

Step-by-step explaination

-9 = x+4

-9-4 = x

-13 = x

Answer:

10

Step-by-step explanation:

To find the slope subtract the points like the following:

(-27-(-7)/(-2-0)

= -20/-2

=10

So, the slope is 10.

Answer:

33

Step-by-step explanation:

Start with substituting variables j and k

3 + (2) (6) + 3(6)

= 3 + 12 + 18

= 15 + 18

= 33

Answer:

33

Step-by-step explanation:

3+ (2*6) + (6*3)

3+ 12+ 18

33