Solve 3/4x+1/4y=5 for y​

Answer:

Area = 50 cm²

Step-by-step explanation:

Area of a trapezium ABDE = ½(a + b)h

where,

a = BD = 2.5 cm

b = AE = 7.5 cm

h = DE = ?

We need to find DE ti be able to calculate the area.

DE = CE - CD

DE = CE - 5

Since ∆ACE is similar to ∆BCD, therefore:

AE/BD = CE/CD

Plug in the values

7.5/2.5 = CE/5

Cross multiply

CE*2.5 = 7.5*5

CE*2.5 = 37.5

Divide both side any 2.5

CE = 37.5/2.5

CE = 15

Thus, DE = CE - 5 = 15 - 5

DE = 10

✅Area of trapezium = ½(BD + AE)DE

= ½(2.5 + 7.5)*10

= ½(10)10

= 50 cm²

Answer:

600,000

Step-by-step explanation:

around 620,000 so 600000 is the closest answer

Answer: around 600,000

Step-by-step explanation: you can basically solve this using just basic logic of thinking which would be too large or small

Answer:

Compound

Step-by-step explanation:

Answer:

Total amount = £56

Step-by-step explanation:

Let Henry and Gavin be H & G respectively.

Let Henry's and Gavin's share be x.

Given the following data;

Ratio of H to G = 5:3

Henry = G + £14

Translating the word problem into an algebraic expression, we have;

5x = 3x + 14

5x - 3x = 14

2x = 14

x = 14/2

x = £7

Next, we determine the amount earned by Gavin;

Gavin = 3x

Gavin = 3*7

Gavin = £21

For Henry;

Henry = G + £14

Henry = £21 + £14

Henry = £35

Now, to find the total amount earned by Henry and Gavin.

Total amount = H + G

Total amount = 35 + 21

Total amount = £56

4x+3x+7x+5+2-3

14x+7-3

14x+4

14x + 10 (DO NOT ADD IT TOGETHER THAT'S JUST THE ANSWER I DID THIS IN SCHOOL 2-DAY)

Step-by-step explanation:

(4x+5) +(3x+2) + (7x-3)

Add 4x+3x+7x

14x

Add 5+2+3

10

Answer:

200

Step-by-step explanation:

you would need to do 6,000 times 2 to find out how much he will need to cover and 6,000 times 2=12000 so the answer is b 200

Answer:

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

Step-by-step explanation:

Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:

[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)

This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:

Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given functions;

f(x) = ln(x + 5) – 1

g(x) = x³ – 2x + 1

After graphing both the function, we get the three solutions of the given equation,

[tex]\rm \left(-1.577,0.223\right)[/tex]

[tex]\left(0.18,0.645\right)[/tex]

[tex]\left(1.376,0.853\right)[/tex]

Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

To learn more about the function, refer to:

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Answer:

Step-by-step explanation:

[tex]\text{The area of a circle can be expressed as}\\ \\ A=\pi r^2\ or\ A=\frac{\pi d^2}{4}\\ \\ \text{You are told d=11in and to approximate pi with 3.14 so}\\ \\ A=\frac{3.14(11^2)}{4}\\ \\ A\approx 94.985\ in^2[/tex]

Answer:

(1 suptlimary)  ( 2. 41)     (3. alternate exterior)  (4. 149)

Step-by-step explanation:

Answer:

x=23

Step-by-step explanation:

let's make this question into equation form

x increase by 10; or x+10

is equal to 33; or =33

so it would look like this; x+10=33

now we can solve it in reverse

33-10=23 so x is 23.

hope this helped, have a great day.

Answer:

Step-by-step explanation:

Quotient is 1.

Remainder = 27.

Answer:

Option A ) Cylinder is correct.

Step-by-step explanation:

The important information need to consider is

1. Circular cross section when cut parallel to the base

2. Rectangular cross section when cut perpendicular to the base.

Let's consider each options.

Cylinder would have circular cross section when parallel to base and rectangle when it cut perpendicular to the base.

Yes! The cylinder works.

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately

Answer:

50 :)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: $5

Step-by-step explanation:

Answer:

-2^5

Step-by-step explanation:

hope it helped. im not sure..

Answer:

x=23

Step-by-step explanation:

set them equal to each other since its not same sides

these are alternative exterior

8x-77=3x=38

5x=115

x=23

Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Answer:

(a + b) / n

Step-by-step explanation:

Pounds of apple in box = a

Pounds of plum in box = b

Number of boxes used in packing = n

The amount fruit in pounds that are in each box :

Total pound of fruits / number of boxes used

Total pounds of fruit = a + b

Number of boxes used = n

Hence, we have ;

(a + b) / n

Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

Answer:10

Step-by-step explanation:u have to see how many time can a number go into it

Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

[tex]\frac{3}{3} =1[/tex] foot.

Therefore, each section is 1 foot long.

Know more about expression here:

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Answer:

6

Step-by-step explanation:

3+3 = 6

Answer:

There is 1 cat for each dog so the ratio would be 1:1 together.

Step-by-step explanation:

This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1

Answer:

The y intercept is added to the new parent function.

Step-by-step explanation:

The parent function changed because the y intercept (SLOPE) was added into the new parent function. In order to prove that the change took place with the y intercept being added to the function, you can use any value from 2 and up.

Completion of substitution for X:

Original parent function: Plug in 2 for x

(2)^3 = 8

Completion of substitution for X with NEW parent function: plug in 2 for x

(2)^3 + 2 = 10

Answer:

Step-by-step explanation:

6.    x² + 8x + 7

   = x² + 7x + x + 7

   = x (x + 7) + 1 (x + 7)

  = (x + 1) (x + 7)

Option D is the answer.

7.    x² - x - 72

  = x² - 9x + 8x - 72

  = x(x - 9) + 8(x - 9)

Option B is the answer.

8.   x² - 49

  = (x - 7) (x + 7)    [formula used a² - b² = (a-b)]

 Option D is the answer.

9.   9x² - 54x + 72

 =  9(x² - 6x + 8)

 =  9(x² - 4x - 2x + 8)

 =  9[x(x-4) -2 (x-4)]

 =  9[(x - 2) (x - 4)]

 = Option A is the answer.

10.   x⁴ - 3x³ - 10x²

   =  x² (x² - 3x - 10)

   =  x² (x² - 5x + 2x - 10)

   =  x² [x (x-5) + 2 (x-5)]

   =  x² (x+2) (x-5)

Option A is the answer.

(12x^2-10x-12)÷(3x+2)

=(2x-3)(3x+2)÷(3x+2)

=(2x-3)

Step-by-step explanation:

Answer would be (2x-3)

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

Step-by-step explanation:

2x + 9° + 3x + 1° =180° (opposite angles of a cyclic quadrilateral are supplementary)

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 34°

Now

Angle A

= 2 * 34° + 9°

= 77°

Hope it will help :)❤

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3.  undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4