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What is the value of m in this proportion?

Answer: 18 over x = -2x

Explanation:

Multiply all terms by the same value to eliminate fraction denominators,Cancel multiplied terms that are in the denominator and Re-order terms so constants are on the left,Combine exponents

Move terms to the left side

Rearrange terms

Common factor

Divide both sides of the equation by the same term

Use the quadratic formula

Simplify

Hope this helps (all the Steps to solve)

Answer:

45m/hr

Step-by-step explanation:

Divide 270 by 6 to determine the unit rate.

[tex] \frac{270}{6} = 45[/tex]

Therefore, the unit rate is 45 miles per 1 hour.

Step-by-step explanation:

x=y+9

substitute

3(y+9)+8y=-6

3y+27+8y= -6

13y = -6 -27

13y= -33

y = -33/13

x = -33/13 + 9

Answer:

3t > 2c

Step-by-step explanation:

The left side has 3 triangles (therefore 3t) and the right side has 2 circles (therefore 2c).

Since the side with the triangles is heavier than the side with the circles, it is 3t > 2c.

The inequality to represent the relationship of the weights is 3t > 2c.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

let t be the weight of the triangle in grams.

let c be the weight of the circle in grams.

from the figure,

Number of Triangle = 3

Number of Circle= 2

So, weight of triangle = 3t and weight of circle = 2c

Since the weight of triangle is greater than weight of circle.

Thus, the inequality is 3t> 2c.

Learn more about Inequality here:

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$500\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &5 \end{cases} \\\\\\ 500=P(0.04)(5)\implies \cfrac{500}{(0.04)(5)}=P\implies 2500=P[/tex]

The amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.

By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Mathematically, simple interest is

I = Prt,

where I represents the simple interest on an amount of money, P, for t years at r rate.

Now it is given that,

Simple interest, I = $500

Interest Rate, r =  4% = 0.04

Time, t = 5 years

Since, Simple interest, I = Prt

⇒ P = I/rt

⇒ P = 500/(0.04*5)

⇒ P = 500/0.20

⇒ P = $2500

which is the required Principle amount.

Thus, the amount of money, P, that will generate $500 at a 4% interest rate over 5 years is $2500.

To learn more about simple interest:

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Answer:

that is an equilateral triangle and if one side is 3.46 rounded it is 3.5

Step-by-step explanation:

3.5 because rounding found out by square root of 12

Answer:

x = 4[tex]\sqrt{3}[/tex] = 6.9

Step-by-step explanation:

if the large triangle is equilateral then each angle is 60°

but the altitude creates two smaller triangles that measure 30-60-90°

the ratio of sides, respectively, is 1 : [tex]\sqrt{2}[/tex] : 2

we can create a proportion to find 'x':

x/2 = [tex]\sqrt{12}[/tex]/1

cross-multiply:

x = 2[tex]\sqrt{12}[/tex]

since [tex]\sqrt{12}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

so 'x' = 2·2[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

therefore, we can see that the side opposite the 30° angle is half the hypotenuse

Answer:

x=45

Step-by-step explanation:

180-90=90÷2=45

Answer:

A)  1/15a + 5

Step-by-step explanation:

Let's start by finding a common denominator for the fractions: it's 15.

Multiply 2/3 by 5/5 and -3/5 by 3/3 to get the denominator of 15.

Now we have this: 10/15a - 9/15a + 6 - 1

Simplify like terms and you'll end up with 1/15a + 5

Answer:

1:eight hundred and twenty one

2:three hundred and fifty

3:six hundred and four

4:nine hundred and five

hope it helps...pls mark brainlest

Answer:

0

Step-by-step explanation:

The square root of 0 is 0.

0 + 3 = 3

The value of the constant of proportionality in the expression c=1.1 b is 1.1.

Given to us

The total cost, c, in dollars, of b bottles of water, is c = 1.1b.

The constant of proportionality is plugged into an expression when the proportionality is been removed from the expression.

As the total cost is dependent on the number of bottles that is been purchased, therefore,

[tex]\rm{ Total\ Cost \propto\ Number\ of\ bottles}[/tex]

Removing the proportionality, we will get,

[tex]c=kb[/tex]

where c is the total cost, b is the number of bottles,

Now compare the two equations,

c = kb

c = 1.1 b

Hence, the value of the constant of proportionality in the expression c=1.1 b is 1.1.

Learn more about Proportionality:

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Answer:

D. 30cm

Step-by-step explanation:

Use the triangle and trapezoid formula and then you have the answer

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation: divide each of them by 2 because y = 1/2 of x

not sure this is correct this is just what I think it is.

Answer:

  4400 yards

Step-by-step explanation:

Many folks remember there are 5280 feet in a mile. Then 2.5 miles is ...

  (2.5 mi)(5280 ft/mi) = 13,200 ft

There are 3 feet in a yard, so the number of yards in 2.5 miles is ...

  (13,200 ft)/(3 ft/yd) = 4,400 yd

__

Of course, this is easier if you remember there are 1760 yards in a mile.

  (2.5 mi)(1760 yd/mi) = 4,400 yd

_____

Additional comment

In general, units conversion is accomplished using conversion factors that have a value of 1. That is, they are a fraction whose numerator and denominator are equal, but expressed in different units. The units of the conversion factor are chosen to cancel the units you don't want and leave a result in units you do want.

  [tex]2.5\text{ mi}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ yd}}{3\text{ ft}}=\dfrac{2.5\times5280\text{ mi$\cdot$ft$\cdot$yd}}{3\text{ mi$\cdot$ft}}=\dfrac{13200}{3}\text{ yd=\boxed{4400\text{ yd}}}[/tex]

__

You might remember there are 1760 yards in a mile, because a typical high-school oblong running track is 440 yards, or 1/4 mile.

Answer:

[tex]4400\ yards[/tex]

Step-by-step explanation:

Step 1:  Convert miles to yards

[tex]1\ mile = 1760\ yards[/tex]

Since we know that 1 mile is equal to 1760 yards we can just multiply our 2.5 miles by 1760 which would cancel out miles and leave us with yards.

[tex]2.5\ miles * \frac{1760\ yards}{mile}[/tex]

[tex]4400\ yards[/tex]

Answer:  [tex]4400\ yards[/tex]

Step-by-step explanation:

√1 = 1, √2 = 1.414213562, √3 = 1.732050808, √4 = 2, √8 = 2.828427125 Step#2: Add up = 8.974691495

Answer:

1 and 11/12

Step-by-step explanation:

1 1/4 + 4/6 = 1 1/12, therefore the landscaper has 1 and 1/12 pounds of plant food.

3 4/8 - 1 1/12 = 1 11/12, therefore the farmer needs 1 and 11/12 pounds of plant food.

Partial Answer:

For #10 the solutions are 2 and 5

Step-by-step explanation:

Solutions for an equation can be x-intercepts, or where it touches the x or horizontal line. The equation in #10 touches the x line at 2 and 5.

$4.35 is the answer to the question.

Answer:

2.85/per cone

4.35/per sundae

Step-by-step explanation:

5 ice cream cones

3 sundaes

27.30 - 14.25 = 13.05

13.05 divided by 3 = 4.35/per sundae

14.25 divided by 5 = 2.85/ per cone

Answer: 18.5 in

Step-by-step explanation:

You need to be more specific

Answer:I would say b or c, but I don’t have all the context

Step-by-step explanation:

you questioning me?

Answer:

19 i think you add them

Step-by-step explanation:

To find the time that it will take for the ball to hit the ground we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

We should start by the easier part, which is acceleration.

The only force acting on the ball will be the gravitational force, this means that the acceleration of the ball is -9.8 m/s^2

a(t) = -9.8 m/s^2

To get the velocity, we integrate over time, and remember that the constant of integration is equal to the initial velocity, which we already know is equal to 15m/s.

v(t) = (-9.8 m/s^2)*t + 15m/s.

To get the position equation we integrate again, this time the constant of integration is the initial position, which is 1m.

p(t) = (1/2)(-9.8 m/s^2)*t^2 + (15m/s)*t + 1m

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m

The ball will hit the ground when the position is equal to zero, so we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

If you want to learn more about motion equations, you can read:

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Answer:

Step-by-step explanation:

Use two ordered pairs from the table to find the slope  of f(x):

Find the equation of f(x) using point-slope form:

The y-intercept is the value of y when x = 0:

Use two points on the graph and find the slope of g(x):

Find the required sum:

Answer:

x = 15

UV = 12

SV = 31

Step-by-step explanation:

#3) ST + TU + UY is the same length as the line below

which is labeled as '4x-29'; so we can use this equation to find 'x':

13+6+2x-18 = 4x-29

combine 'like terms':

1 + 2x = 4x - 29

subtract '2x' from each side to get:

1 = 2x - 29

add 29 to each side to get:

30 = 2x

30/2 = x

15 = x

UV = 2x-18 so substitute 15 in for 'x' to get:

UV = 2(15)-18 = 30-18 = 12

UV = 12

SV = 13 + 6 + 12 which equals 31

Answer:

13.75 ponds or 13 3/4 pounds ( same thing, just ones in decimals and ones in fractions)

Step-by-step explanation:

if you add 5 1/2 (5.5) and 8 1/4 (8.25) equals 13.75 ( or 13 3/4)

Answer: False, it's not a solution

================================================

Explanation:

Replace every copy of c with 12. Then simplify.

4c - 2 > 46

4*12 - 2 > 46

48 - 2 > 46

46 > 46 ... false

The statement is false because there isn't a number that's larger than itself (or smaller than itself).

Since the last statement is false, this means the first inequality is false when c = 12.

Therefore, c = 12 is not a solution.

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

Another approach:

Let's isolate c in the original inequality.

4c - 2 > 46

4c > 46+2

4c > 48

c > 48/4

c > 12

The solution set consists of numbers larger than 12. We leave 12 itself out of the solution set.

This is because c > 12 would be 12 > 12 which is false.

Answer:

24

Step-by-step explanation:

Hi hi ok so heres how you do this:

This is a right triangle cause of the lil' red angle indication.

So, we use Pythagorean theorem.

a^2+b^2=c^2

Now, we have a and c(or b and c. A and B are interchangeable)

10^2+b^2=26^2

100+b^2=676

676-100=576

Now, square root of 576 is 24.

the other leg is 24

Answer:

25 cm

Step-by-step explanation:

Using the Pythagorean Theorem (a^2+b^2=c^2 FOR RIGHT TRIANGLES ONLY), you see that 10^2+b^2=26^2, and the answer is b=25 cm.

BTW=10, 25, 26 is a pythagorean triple

Answer:

x² +4x

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given: base= 2x, height= x +4

Area of triangle

= ½(2x)(x +4)

= x(x +4)

= x(x) +x(4) (expand)

= x² +4x