X=y+2
X=2y+1

Solving Systems of Equations by subtraction
Please solve this

Answer:

Step-by-step explanation:

Answer:

C-1/64

Step-by-step explanation:

(1/4)(1/4)(1/4)=1/64

Mark the brainliest

9514 1404 393

Answer:

  20.9 inches

Step-by-step explanation:

The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.

  P = r + r + rα . . . . . where α is the central angle in radians

35° is (35°/180°)π radians, about 0.6109 radians

Then the perimeter is ...

 P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in

The perimeter of the slice is about 20.9 inches.

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]

   = [tex]\sqrt{8^2+(y+3)^2}[/tex]

Given distance between points is 10, then

[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

Answer:

[tex]26x^6y^4[/tex]

Step-by-step explanation:

the volume is like

[tex]V = length\cdot width\cdot depth[/tex]

so we have

[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]

Step-by-step explanation:

n= nickels

q= quarters

Create a system of equations

n + q =72 number of coins

0.05n + 0.25q = 12 amount in money

solve by elimination ( anything would be fine)

n + q = 72

4( 0.05n + 0.25q = 12)

n+ q = 72

-

0.2n + q = 48

0.8n = 24

n= 30

now use substitution to find how many quarters she has

30 + q = 72

q = 42

He has 30 nickels and 42 quarters

Sorry for skipping some steps

I hope this helps!!!

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The triangle is equilateral, so each side is equal to the others:

  5x = 3x +6

  2x = 6 . . . . . . . subtract 3x

  x = 3 . . . . . . . . divide by 2

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

Answer:

Step-by-step explanation:

Answer:i tried

Step-by-step explanation:

Step-by-step explanation:

First, you want to find the unit rate, or how much Han earns per hour

You can do this by setting up an equation

x= amount earned per hour

4x= 33          Initial equation

4x/4 = 33/4   Isolating the variable

x = 33/4 = 8 1/4 = 8.25    The unit rate

Now you want to set up a new equation to find out how much he makes for 7 hours

x= amount earned per hour

y = total amount earned

y = 7x    Initial equation

y = 7 ( 8.25)   Substitution

y = 57.75  The answer

Han earns $57.75 for every 7 hours

Checking the answer....

y = 7x

57.75 = 7x    Substitute y instead

57.75/7 = 7x/7

8.25 = x

Your answer should be correct

Hope this helps!!!

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

Answer:

C. x = 50

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

3-3/4-19

0/-15

So its 0

Answer:

y = x + 1.8

Step-by-step explanation:

Answer: A=4πr2

I really hope this helped!!

Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

Answer:

1,000

Step-by-step explanation:

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Answer:

c. 2n-6

Step-by-step explanation:

6 less than 2xSteve so 2n-6

Answer:

the answer is $18.5

Step-by-step explanation:

30 + tax is $31.50

Answer:

$18.50

Step-by-step explanation:

Before Tax Price: $30

Sales Tax Rate: 5%

After Tax Price: $18.50

How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:

[cost of the item] x [percentage as a decimal] = [sales tax]

652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50

Answer:

Converting y = -2x +5 to point-slope form will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

Given the equation

[tex]y = -2x +5[/tex]

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Thus, the ordered pair or point representing the y-intercept will be:

Now, we have

Now, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = -2(x-0)[/tex]

Therefore, converting y = -2x +5 to point-slope form will be:

Answer:

3 2 5 4 1 in that order :D

Step-by-step explanation:

Answer:

£450

Step-by-step explanation:

12%=£54

100%=?

we will criss cross it then 12%×?=100%×£54÷12

=£450

Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1   (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

Answer:

Kayla is correct

Step-by-step explanation:

For a vertical line, the x-value is the same

This means there is no change in the x value

A slope is calculated by dividing by the change in x value

since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined

This means that Kayla is correct

Step-by-step explanation:

It is a cyclic quadrilateral.

The sum of interior angles of this polygon is equal to 180 degrees.

ATQ,

2x+26y=180

x+13y=90 ....(1)

3x+21y=180

x+7y=60 ....(2)

Subtract equation (1) from (2).

x+7y-(x+13y) = 60-90

x+7y-x-13y=-30

-6y=-30

y = 5

Put the value of y in equation (1

x+13(5) = 90

x+65=90

x = 90-65

x = 25

So,

∠DAB = 26y = 26(5) = 130°

∠ABC = 3x = 3(25) = 75°

∠BCD = 2x = 2(25) = 50°

∠ADC = 21y = 21(5) = 105°

    x = 25, y = 5

    m∠DAB = 26(y) = 180°

    m∠ABC = 3x = 75°

    m∠BCD = 2x = 50°

    m∠ADC = 21y = 105°

From the picture attached,

By using the property of cyclic quadrilateral,

m∠A + m∠C = 180°

26y + 2x = 180

13y + x = 90 --------(1)

m∠B + m∠D = 180°

3x + 21y = 180

x + 7y = 60 --------(2)

Subtract equation (2) from (1),

(13y + x) - (x + 7y) = 90 - 60

6y = 30

y = 5

Substitute y = 5 in equation (1),

13(5) + x = 90

x = 90 - 65

x = 25

Substitute the values of 'x' and 'y' to get the measures of the angles,

m∠DAB = 26(y) = 180°

m∠ABC = 3x = 75°

m∠BCD = 2x = 50°

m∠ADC = 21y = 105°

         Therefore, values of the variables will be,

                            x = 25, y = 5

                            m∠DAB = 26(y) = 180°

                            m∠ABC = 3x = 75°

                            m∠BCD = 2x = 50°

                            m∠ADC = 21y = 105°

Learn more about the cyclic quadrilateral here,

https://brainly.com/question/24142962?referrer=searchResults

Answer:

16/35

Step-by-step explanation:

From the question we are given:

total number of cupcakes needed for the school dance = 140 cupcakes

Lucy made 35cupckes

JoJo made 42 cupcakes

Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes

Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes

Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140

Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35

Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35

Answer:

16/35

Step-by-step explanation: