Make
x
the subject of the formula
3
a
x
+
2
c
=
b
2

Answer:

-0.5

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

Plug the two points in slope formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\\\\frac{2-(-10)}{-4-2} \\\frac{12}{-6} \\\\m= -2[/tex]

In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.

Now find the other two angles:

360 - 80 - 80 = 200 degrees

200 degrees / 21 = 100 degrees each.

The other 3 angles are: 80, 100 and 100

Answer:

x=4.6

Step-by-step explanation:

take the numbers and add them all together then divide them by 3

Answer:

Step-by-step explanation:

1.6x10^5=160,000;    160x1000=160,000

Answer:

(-2, 10)

step-by-step explanation:

original vertex A: (4, -10)

If translated horizontally, there will be change in x axis

Then reflected over x axis, so use the formula: (x, y) → ( x, -y)

The value of x for the considered algebraic equation is 4.

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation (the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^c \implies b = c \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

For this case, we have got the equation as:

[tex]3^{2x+1} = 3^{x+5}[/tex]

Using the property that: [tex]a^b = a^c \implies b = c \: \:(if \: a \neq 1 \: and \: a \neq -1)[/tex], we get:

[tex]2x + 1 = x + 5\\[/tex]

Solving it further:

[tex]2x + 1 = x + 5\\\\\text{Subtracting 1+x from both the sides}\\\\2x + 1 - (1+x) = x+5 - (1+x)\\x = 4[/tex]

Thus, the value of x for the considered algebraic equation is 4.

Learn more about exponentiation here:

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Answer:

y = 2x + 1/3

Step-by-step explanation:

Since the line is parallel to y = 2x - 5, its slope is also 2x, as parallel lines have the same slope, leaving you with y = 2x.

Since it intercepts the y-axis at 1/3, and y = 2x intercepts the y-axis at 0, you will now need to add a 1/3 to the end of the equation for it to intersect the y-axis at the right place.

Therefore, the equation is: y = 2x + 1/3

Slope is also known as the gradient of a line. The number of blocks that Teddy is weighing is 20 blocks per pound.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. It also tells us the rate between the two given quantities.

As the graph is given to us and we need to find the number of blocks teddy is putting per pound, therefore, we need to calculate the rate of the graph also known as the slope of the graph, therefore, using any of the two points to calculate the slope of the graph,

[tex]{\rm Point1} : (x_1, y_1) = (0, 0)\\\\{\rm Point2} : (x_2, y_2) = (5, 100)[/tex]

We know that the slope of the line is given as,

[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values,

[tex]\text{Slope of the line} = \dfrac{100-0}{5-0} = \dfrac{100}{5}=20[/tex]

Hence, the number of blocks that Teddy is weighing is 20 blocks per pound.

Learn more about Slope:

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Answer:

[tex]a^{-7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{-13} }{a^{-6} }[/tex]

= [tex]a^{(-13-(-6))}[/tex]

= [tex]a^{(-13+6)}[/tex]

= [tex]a^{-7}[/tex]

Answer:

[tex]a^-7[/tex]

Step-by-step explanation:

[tex]\frac{a^m}{a^n}=a^{(m-n)}, then[/tex]

[tex]\frac{a^{-13} }{a^{-6} }[/tex]

[tex]=a^{(-13-(-6))}[/tex]

[tex]=a^{(-13+6)}[/tex]

[tex]=a^{-7}[/tex]

Answer: V≈9.42 yd^3

the formula to use for a cylinder is V=πr^2h. The radius is 0.5 since the diameter is 1. The height is 12. Plug them in and you get that answer.

Hope it helps!

Answer:

The equation to solve for x is 8x - 14 = 5x + 34

The value of x is 16

Step-by-step explanation:

Let us use the angles between the parallel lines to find x

∵ Lines l and m are parallel

∴ ∠(8x - 14)° and ∠(5x + 34)° are alternate exterior angles

∵ The alternate exterior angles are congruent

∴ ∠(8x - 14)° ≅ ∠(5x + 34)°  

→ Equate them

∴ 8x - 14 = 5x + 34

∴ The equation to solve for x is 8x - 14 = 5x + 34

Let us solve it to find x

∵ 8x - 14 = 5x + 34

→ Subtract 5x from both sides

∵ 8x - 5x - 14 = 5x - 5x + 34

∴ 3x - 14 = 34

→ Add 14 to both sides

∴ 3x - 14 + 14 = 34 + 14

∴ 3x = 48

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{48}{3}[/tex]

∴ x = 16

∴ The value of x is 16

Answer:

15W

Step-by-step explanation:

$15 is the amount he plans to save every week (constant), the W will represent the number of weeks

Answer:

15w

Step-by-step explanation:

w is the unknown amount and every week greg saves 15. So the equation would be 15w.

You can plug a number to check in for example 5. He would save $75.00 in 5 weeks.

Answer:

it rise over run so put 2y on graph count down 4 and move right 1

Step-by-step explanation:

Answer:

The radius is 1.75 cm, 1 3/4 cm, or 7/4 cm (all the same, just in different forms)

The circumference in terms of π is 7/2(π) cm, 3.5(π), or 3 1/2(π) cm (all the same, just in different forms)

The approximate circumference of the circle is 10.99 or 11 cm. (don't know if it's supposed to be rounded)

Step-by-step explanation:

Radius = 1/2 of the diameter, so 1/2 of 7/2 is 1.75, 1 3/4, or 7/4 cm.

Circumference in terms of pi means to not approximate pi. Circumference of circle is πd, so the exact circumference would be 7/2 pi cm, 3.5 pi cm, or 3 1/2 pi cm.

3.5 x 3.14 = 10.99. 10.99 cm ≈ 11 cm.

Answer:

x= 4 1/6

Step-by-step explanation:

1. Create equation

12x=50

2. Solve

12x/12=50/12

x=4 1/6

3. Check

12x4 1/6=50

12x50/12=50

50=50

Correct!

4. Answer

x= 4 1/6

Answer:

9

Step-by-step explanation:

Answer:

lessons he must complete: 15= 2x-6

Step-by-step explanation:

On the left side of the equation you have 15 hours which is what he must fulfill. X represents number of lessons he must complete. You convert the lessons to hours by multiplying by two because that is how long each lesson is. Im not sure if your teacher wants u to put 2x-6=15 or 2x= 11. Most likely the first answer

Answer:

I believe your answer would be 126

Step-by-step explanation:

The math is quite simple, all you must do is divide over and over again. Then add

64/2= 32

32/2=16

16/2=8

8/2=4

4/2=2

Then add these up

64+32+16+8+4+2= 126

Answer:

Step-by-step explanation:

The total amount for the order is

$9.75+$29.99+ $15.00=$54.74

let the money her mother owes her be x

so summing all the amount plus the balance given to her must equal $54.74

so x+40+5.26=54.74

solving fo x we have

x+45.26=54.74

make  x subject of formula we habe

x=54.74-45.26

x=9.48

Nicoles mother owe Her $9.48for babysitting

god  bless u Step-by-step explanation:

Molly’s monthly payment by using the Bankrate calculator is $286 per month.

It is given that

The downpayment Molly has = $2500.

Interest rate APR = 1.9%

Cash allowance by dealer = $500

Selling price = $25,495

Loan tenure N= 7 years

Amount of loan needed = 25495-2500-500 = $22495

An equated monthly installment (EMI) is a set monthly payment provided by a borrower to a creditor on a set day, each month.

The EMI or monthly payment will be calculated by the following formula,

[tex]EMI = \frac{P.\frac{APR}{12} .(1+\frac{APR}{12})^N }{(1+\frac{APR}{12})^N-1 }[/tex]

Put APR =0.019(decimal value of APR)

N = 7

EMI = $286 per month.

Therefore, Molly’s monthly payment by using the Bankrate calculator is $286 per month.

To get more about EMI visit:

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Answer:

y= -x/4 +7

Step-by-step explanation:

x+4y−28=0

Subtract x from both sides. Anything subtracted from zero gives its negation.

4y−28=−x

Add 28 to both sides.

4y=−x+28

The equation is in standard form.

4y=28−x

Divide both sides by 4.

4y/4 = 28−x/4

Dividing by 4 undoes the multiplication by 4.

y= 28-x/4

​

Divide −x+28 by 4.

y= -x/4 +7

HOPE THIS HELPS! PLEASE MARK AS BRAINLIEST.

Answer:

h= -5.6444444444 ft

Step-by-step explanation:

h= 5.5

5.5= -16^2 + 45 t +3.5

5.5 = 256 +45t +3.5

2= 256+45t

-254= 45t

t=- 5.6444444444

I hope that's right formula for you. Thanks.

Answer:

the slope is 2

y- intercept is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Isolate y:

y=-2x+7

2) Identify the slope (it is the coefficient of x after isolating y):

slope=-2

3) Replace x=0 to find the y intercept:

y=-2(0)+7=7.

Answer:

number of student tickets sold (x) = 40

number of adult tickets sold (y) = 60

Step-by-step explanation:

Let x = number of student tickets sold

Let y = number of adult tickets sold

Given:

⇒ x + y = 100

Given:

⇒ 4x + 8y = 640

Rewrite  x + y = 100  to make x the subject:

⇒ x = 100 - y

Substitute  x = 100 - y  into  4x + 8y = 640  and solve for y:

⇒ 4(100 - y) + 8y = 640

⇒ 400 - 4y + 8y = 640

⇒ 4y = 240

⇒ y = 60

Substitute found value for y into x = 100 - y and solve for x:

⇒ x = 100 - 60

⇒ x = 40

To solve graphically, rewrite both equations to make y the subject:

y = 100 - x

y = 80 - (1/2)x

Plot both lines.

The solution is the point of intersection (40, 60)

Hey there!

Add the total of Bruce, Cathy and Dilip

=> 7 + 10 + 15

=> 25

Then, Divide it by 600

=> 600 ÷ 25

=> 24

To find how much Bruce's share

we multiply 24 times the $10 he contributed

=> 24 × 10

=> 240

Therefore, Bruce's share would be $240

Answer:

1.75

Step-by-step explanation:

Answer:

7/4 or 1¾ or 1.75

Step-by-step explanation:

7/1 × 1/4

7 × 1 = 7

1 × 4 = 4

Answer:

The linear equation is y = 8x + 60

Step-by-step explanation:

the slope-intercept form of the linear equation is

y = m x + b, where

∵ Claire charge a $60 sign-up fee

→ This means it is a fixed amount for a sign-up

∴ b = 60

∵ There is an additional $8 per month

→ This means it is the rate

∴ m = 8

∵ y represents the total cost of her membership in x months

→ Represent this situation by the form of the linear equation above

∴ y = 8x + 60

∴ The linear equation is y = 8x + 60

Answer:

speed is 0.01 miles per minute

Step-by-step explanation:

We know speed = distance/time

since we need speed in miles per minute we need to convert KM into miles

and hours in minutes

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

distance = 5 km

1 km = 0.621371 miles

5KM = 5*0.621371 miles = 3.10686 miles = 3.12 miles(rounded to nearest hundredth)

1 hour = 60 minutes

4.5 hours = 4.5*60 minutes = 270 minutes

speed = distance in KM/time in minutes = 3.12 miles/270 minutes

speed = 0.012 miles per minute

rounding the answer to  the nearest hundredth

speed is 0.01 miles per minute

Answer:

√3

Step-by-step explanation:

Triangle ABC is a special right triangle with angle measures of 30° 60° 90° and side length x 2x x√3