Divide 78 in the ratio 8 : 1 : 4

Answer:

let first equation be  y=x^2-14x+23

second equation be y=-3x+5

now substitute the vale of y in equation second

y=-3x+5

x^2-14x+23=-3x+5

x^2-14x+3x=5-23

x^2-11x=-18

x^2-11x+18=0

x^2-(9+2)x+18=0

x^2-9x-2x+18=0

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

either x-2=0                                        Or, x-9=0

x-2=0

x=0+2

x=2

x-9=0

x=0+9

x=9

therefore x=2,9

Step-by-step explanation:

-

Answer:

(2, - 1 ) and (9, - 22 )

Step-by-step explanation:

Given the 2 equations

y = x² - 14x + 23 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - 14x + 23 into (2)

x² - 14x + 23 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² - 11x + 18 = 0 ← in standard form

(x - 2)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9

Substitute these values into (2) for corresponding values of y

x = 2 : y = - 3(2) + 5 = - 6 + 5 = - 1 ⇒ (2, - 1 )

x = 9 : y = - 3(9) + 5 = - 27 + 5 = - 22 ⇒ (9, - 22 )

Answer:

48 packages

Step-by-step explanation:

recipicate 1/4 which is 4 the multiply by 12

Hope this helps!!!

Answer:

48

Step-by-step explanation:

1/4 = 0.25

12 / 0.25 = 48

You can make 48 packages.

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

Answer:

C:15/36 + 6/36 + 1/36 + 1/36

Step-by-step explanation:

The expression below shows two fractions being added. 7/12 + 1/18

7/12 + 1/18

Lowest Common Denominator = 36

3 × 7 + 2 × 1/36 = 21 + 2/36

= 23/36

We solve the given options to find the correct answer

A:5/6 + 2/6 + 1/6 + 1/6 +1/6

= Lowest common denominator = 6

= 5 + 2 + 1 + 1 + 1/6 = 10/6 = 1 4/6 = 1 2/3

Option A is wrong

B: 5/30 + 1/30 + 1/30 + 1/30

Lowest common denominator = 30

5 + 1 + 1 + 1/30 = 8/30 = 4/15

Option B is wrong

C:15/36 + 6/36 + 1/36 + 1/36

Lowest common denominator = 36

15 + 6 + 1 + 1/36 = 23/36

Option C is correct

D:30/72 + 12/72 + 2/72 + 1/72

Lowest Common Denominator = 72

30 + 12 + 2 + 1/72

= 45/72

= 5/8

Option D is wrong.

Therefore, the correct answer is Option C

Answer:

it c

Step-by-step explanation:

it make scence

Answer:its b

Step-by-step explanation:

Answer:

11.5 inches

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

3x75= 225   so you add 225 to 220 and then you get 425    so for every 3 hours he charges 75 dollars

Step-by-step explanation:

Let x = # of hours work done on the car

The inequality can written as

425 =< 75x + 200

where 425 represents the minimum cost for Hudson and 75 is the repair rate per hour charged by the mechanic. Solving this inequality, we find that

225 =< 75x

or

x >= 3

This means that the mechanic will take at least 3 hrs to work on his car.

Answer:

3/13?

Step-by-step explanation:

Answer:

the domain of y = x is all real numbers.

Answer:

x=10

Step-by-step explanation:

A to D=90

A to C=60

C to D=30

30-10=20

2(10)=20

x=10

Answer:

180 cm³

Step-by-step explanation:

2 x 5 x 6 = 30 x 2 = 60

3 x 8 x 5 = 40 x 3 = 120

120 + 60 = 180

Answer:

From below table compare growth rates for every lawn that required and made a decision based on function family.

Step-by-step explanation:

Following attached table contains each and every lawn details as per time with original, and improvised shown their heights in mm (millimeters).

Answer:

the second one

Step-by-step explanation:

Answer: 2 ounces

Step-by-step explanation:

1 pound = 16 ounces

1/12= 0.0833333

if you multiply 0.0833333 by 16, youll get 1.3333

therefore for 1/12 pounds you have 1.333 ounces

and it’s obvious that 2 ounces is greater than 1.3333 ounces

The greater is the 2 ounces.

We have to determmine which one is grater from 1/12 and 2.

1 pound = 16 ounces

We have 1/12= 0.0833333.

Now  multiply 0.0833333 by 16, we get 1.3333.

Therefore for 1/12 pounds you have 1.333 ounces.

Therefore 2 ounces is greater than 1.3333 ounces.

To learn more about the ounces visit:

https://brainly.com/question/13518828

Answer:

Step-by-step explanation:

take 42 degree as reference angle

using sin rule

sin 42=opposite/hypotenuse

0.66=6.4/x

x=6.4/0.66

x=9.69

Answer:

B

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

it has nothing to do with 200 so not one or two

and then it is less than 300 that she will drive so she will not drive more than 300 miles away and that is represented by the last inequality

Answer:

36 computadores deben ser reparados.

Step-by-step explanation:

Dado que en una oficina hay 96 computadores en total, y la razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3:5, para determinar cuántos computadores de la oficina deben ser reparados en total se debe realizar el siguiente cálculo:

(96 / (3+5)) x 3 = computadores que deben ser reparados

(96 / 8) x 3 = computadores que deben ser reparados

12 x 3 = computadores que deben ser reparados

36 = X

Por lo tanto, 36 computadores deben ser reparados.

Answer:

Mason's has 4 cars more.

no, it is still not the same ratio.

Step-by-step explanation:

each lot has 60 vans.

the ratio of cars/vans at Mason's is 7:5.

this means for every group of 5 vans there are 7 cars.

how many groups of 5 vans are there ? 60/5 = 12

so, for each of the 12 groups of 5 vans there are 7 cars.

=> 12×7=84

another way to get there (and faster) :

you can also say that a ratio is actually a division.

7:5 is 7/5

so, 60 × 7/5 = 12 × 7 = 84

in any case, Mason's has therefore 60 vans and 84 cars.

Hyland also has 60 vans, but a ratio of cars to vans of 4:3.

let's do the fast route :

60 × 4/3 = 20 × 4 = 80

Hyland has therefore 60 vans and 80 cars.

so, Mason's has more cars (4 more than Hyland).

now Hyland adds 2 vans, having then 62 vans and still 80 cars.

so, the ratio cars to vans is now 80:62. or 80/62

=> 80/62 = 40/31 which cannot be further simplified, as 31 is a prime number.

40/31 is not equal to 7/5. so, it is still not the same ratio.

Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

Credit goes to: https://brainly.com/app/profile/13544493/answers

Answer:

Kindly check attached picture for detailed explanation

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer:

the other person has it correct

Answer: Decompose means the opposite, to take apart

Step-by-step explanation: In this lesson, the words composition and decomposition are used to describe how irregular figures can be separated into triangles and other polygons. The area of these parts can then be added together to calculate the area of the whole figure.

Answer:

D

Step-by-step explanation:

9 7/15

................

Answer:

D. 9[tex]\frac{7}{15}[/tex]

Step-by-step explanation:

2[tex]\frac{4}{5}[/tex]+6[tex]\frac{2}{3}[/tex]  becomes

2[tex]\frac{12}{15}[/tex]+6[tex]\frac{10}{15}[/tex]  then you add them together

8[tex]\frac{22}{15}[/tex] then simplify to 9[tex]\frac{7}{15}[/tex]

Answer:

W is 6

L is 19

Step-by-step explanation:

L= 4W - 5

P= 2L + 2W

P= 2(4W-5) +2W

50=8W -10 +2W

60 = 10W

W= 6

L= 19

Answer:c

Step-by-step explanation:the answer is c

Answer:

1. [tex]\frac{x^2}{y^8}[/tex]

2 a) [tex]\frac{-49}{2}[/tex]

b) 0

3. x = 10

Step-by-step explanation:

1.

[tex](\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}[/tex]

2. a)

[tex]2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}[/tex]

b)

[tex]-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0[/tex]

3.

[tex]\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10[/tex]

Answer:

I don't know lol

Step-by-step explanation:

I feel like I know but I can't put my finger on it \\

Answer:20

Step-by-step explanation:

Cause diameter equals C/3.14 so that means to divide it

Answer: A) 416745x^2 |  B) 57624x^2

How to:  The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Have a great day and stay safe ! sorry if im wrong