P=1/2

q=-1/3

r=1/5


30pqr(p+q+r)/(p+q)(p+r)


Answer -22/7

Answer:

c

Step-by-step explanation:

Answer:

Yes, 0.6 is greater than 0.59.

Step-by-step explanation:

The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.

Answer:

y-intercept is 2

x- intercept(s) are -4 and 2

Step-by-step explanation:

y-intercept is where the line crosses the y line (vertical)

x- intercept is where the line crosses the x line (horizontal)

Answer:

  B, C, D

Step-by-step explanation:

One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...

  [tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]

Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.

  [tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]

Of course, that repeated multiplication can be shown explicitly:

  [tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]

The equivalent expressions to 4^(-3) are B, C, D.

_____

Additional comment

The expression of G evaluates to ...

  [tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]

Answer:

[tex]x=(b-a)^{3}[/tex]

Step-by-step explanation:

Answer:

x = b³ - 3b²a + 3a²b - a³

Step-by-step explanation:

Given:

[tex]\sqrt[3]{x} + a = b[/tex]

To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.

Subtract "a" both sides to isolate ∛x:

[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]

[tex]\implies \sqrt[3]{x} = b - a[/tex]

Cube both sides to remove the cube root on the L.H.S:

[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]

[tex]\implies x= (b - a)^{3}[/tex]

Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³

[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]

[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]

Thus, the value of x is b³ - 3b²a + 3a²b - a³.

Answer:

You can set two simultaneous equations and solve it

Let the cost of a plate be x, and the cost of a cup be y.

5x + 4y = 19.6 --- 1

6x + 5y = 23.8 --- 2

25x + 20y = 98 --- 3

24x + 20y = 95.2 --- 4

3 - 4 : x = 2.8

Sub x = 2.8 into 1

5(2.8) + 4y = 19.6

4y = 5.6

y = 1.4

so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars

hope this helps!!! please mark brainliest!!!!

Answer:

< 2.

Step-by-step explanation:

< 2 is vertical to < 5.

In the UK we say they are opposite angles, which, to me, makes more sense.

Answer:

4/15

Step-by-step explanation:

Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.

We have to find the probability P(factor of 10)

The factors of 10 are 1, 2, 5, and 10.

Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).

Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:

P(factor of 10) = 4/15

Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Answer:

Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height

Step-by-step explanation:

[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

Answer:

y= 4 - 2/3 x, x= x

Step-by-step explanation: Substitute y=4 -2/3x  [2x=12-3 (4-2/3x)]

Simplify: [2x=2x]

For y = 4- 2/3x

Expressing y in terms of x: y= 4 -2/3x

So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x

Answer:

what are the models

Step-by-step explanation:

but 4/16 and ¼ are both equivalent fractions for 2/8

Answer:

11

Step-by-step explanation:

Mean - add all the numbers up and divide by the amount of numbers you have.

Add all the numbers up-

17 + 9 + 11 + 7 = 44

Divide by the amount of numbers you have, since you have 4, divide by 4

44/4 = 11

11 would be your answer!

I hope it helps! Have a great day!

Muffin ^^

Answer:

B

Step-by-step explanation:

Cut vertical but off vertcal axis.

A will produce a square and C and D will produce triangles.

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

$4.04 is the answer.

30 x $6.00 = $180

70 x $3.20 = $224

$180 + $224 = $404

404/100 = $4.04

The cost per pound of the blend will be $4.04.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.

Then the cost per pound of the blend will be

⇒ 30 x $6.00 + 70 x $3.20

⇒ $180 + $224

⇒ $404

The cost per pound of the blend will be

⇒ $404 / 100

⇒ $4.04

The cost per pound of the blend will be $4.04.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Class width = 5

Mean = 20.375

Step-by-step explanation:

To find the class widths, find the difference between the upper and lower boundaries.

As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.

Class width = 10.5 - 5.5 = 5

To find the mean:

The easiest way to do this is to create a table (see attached).

[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]

Answer:

Here is your answer...

Step-by-step explanation:

1. Triangle = 0

2. Pentagon = 5

3. 15-sided polygon = 90

4. 18-sided polygon = 135

Answer:

McKinley, Logan, Pico de Orizaba

Step-by-step explanation:

Answer:

Its SAS( side angle side) axiom.

each number has its place on the number line so true

Step-by-step explanation:

and 5 is one place to the left in 15.2

Answer:

140

Step-by-step explanation:

A semicircle is 180 degrees

7/9x180=140

Answer: 7/9 degrees = 0.00216 cir

Step-by-step explanation:

The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)

Answer:

48%

Step-by-step explanation:

If you convert 24/50 to a percentage the answer is 48%

[tex] \frac{24}{50} [/tex]

the equivalent percent.

[tex] \frac{24}{50} [/tex]

[tex] = 0.48[/tex]

[tex]0.48 \times 100\%[/tex]

[tex] = 48\%[/tex]

therefore, the equivalent percent of 24/50 is 48%

By using what we know about right triangles, we will see that the distance is 1479.4 ft

We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.

Then we use the relation:

Cos(a) = (adjacent cath)/(hypotenuse)

cos(8°) = (1465 ft)/(distance)

distance = (1465ft)/cos(8°) = 1479.4 ft

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

The first one is obtuse because it is larger than 90 degrees.

The second one is reflex shown below:

Step-by-step explanation:

1. right triangle?

-> c²= g²+b²

c²= 20²+21²

c²= 841

c=V841

c=29

-> triangle BCG is right

2.

cos B= 20/29

tan B= 21/20

sin B= 21/29

sin G= 20/29

cos G= 21/29

tan G= 20/21