m-2n = 8
n = m - 2
The value of m in the system of equations is:

[tex]( - \frac{3}{4} )( \frac{7}{8} )[/tex]

[tex] = \frac{ - 3}{4} \times \frac{7}{8} [/tex]

[tex] = \frac{ - 21}{32} [/tex]

_______________________________________

[tex]( \frac{2}{3} )( - 4)(9)[/tex]

[tex] = \frac{2}{3} \times - 4 \times 9[/tex]

[tex] = \frac{ - 72}{3} [/tex]

[tex] = - 24[/tex]

_______________________________________

[tex]( \frac{5}{16} )( - 2)( - 4)( - \frac{4}{5} )[/tex]

[tex] = \frac{5}{16} \times - 2 \times - 4 \times \frac{ - 4}{5} [/tex]

[tex] = \frac{ - 160}{80} [/tex]

[tex] = \frac{ - 16}{8} [/tex]

[tex] = - 2[/tex]

_______________________________________

[tex](2 \frac{3}{5} )( \frac{7}{9} )[/tex]

[tex] = \frac{13}{5} \times \frac{7}{9} [/tex]

[tex] = \frac{91}{45} [/tex]

Answer:

B = 34.77°

Step-by-step explanation:

For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:

[tex]b^{2} =a^{2} +c^{2} -2ac Cos(B)[/tex]

This can be rearranged to find the angle B:

[tex]b^{2} -a^{2} -c^{2} /-2ac = Cos(B)[/tex]

With lowercase letters being sides and uppercase being angles.

We simply plug in the sides and solve:

[tex]4^{2} -6^{2} -7^{2}/-2*6*7= Cos(B)[/tex]

0.8214 = Cos (B)

Then you use inverse cosine to get angle B alone.

B = 34.77°

Answer:

in the first person participle.

Step-by-step explanation:

Answer:

2nd one, 3rd one and last one

i dont know

hi hi hi hi hi ih ih ih ihi ih i h

Answer:

[tex]Pr = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5\}[/tex]

[tex]n = 5[/tex]

Required

Probability the third term is 3

First, we calculate the possible set.

The first must be prime (i.e. 2, 3 and 5) --- 3 numbers

[tex]2nd \to 4\ numbers[/tex]

[tex]3rd \to 3\ numbers[/tex]

[tex]4th \to 2\ numbers[/tex]

[tex]5th \to 1\ number[/tex]

So, the number of set is:

[tex]S = 3 * 4 * 3 * 2 * 1[/tex]

[tex]S = 72[/tex]

Next, the number of sets if the third term must be 2

[tex]1st \to 2[/tex] i.e. 1 or 5

[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term

[tex]3rd \to 1\ number[/tex] i.e. the digit 2

[tex]4th \to 2\ numbers[/tex]

[tex]5th \to 1\ number[/tex]

So

[tex]r = 2 * 3 * 1 * 2 * 1[/tex]

[tex]r = 12[/tex]

So, the probability is:

[tex]Pr = \frac{r}{S}[/tex]

[tex]Pr = \frac{12}{72}[/tex]

[tex]Pr = \frac{1}{6}[/tex]

Answer:

94 children, 64 students, and 47 adults attended the movie theater.

Step-by-step explanation:

Let; a be for adults, s for students, and c for children.

Make a system to solve for the amount of people.

c/a = 2

a + 2a + s = 205

3a + s = 205

Simplify.

s = 205 - 3a

s = 205 - 3a

c = 2a

Plug it in.

5c + 7s + 12a = 1482

10a + 7(205 -3a) + 12a = 1482

10a + 1435 - 21a + 12a = 1482

a + 1435 = 1482

a = 47

Substitute.

c = 2(47)

c = 94

Solve.

s = 205 - 3(47)

s = 64

The three angles of a triangle equal 180

Third angle = 180 - 31.8 - 89.8 = 58.4

Answer: 58.4

Answer:

Step-by-step explanation:

Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):

[tex]f(2)=(2)^2-5[/tex] so

f(2) = -1

Now, f(4):

[tex]f(4)=(4)^2-5[/tex] so

f(4) = 11

Now, f(7):

[tex]f(7)=(7)^2-5[/tex] so

f(7) = 44

The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For question 1:

[tex]\to 3^{-4}= \frac{1}{3^4}=\frac{1}{81}=0.0123456789[/tex]

For question 2:

[tex]\to (-2)^{3}\cdot(-2)^{4}\cdot(-2)^{-1}=-8\cdot-16\cdot -\frac{1}{2}= 128\cdot -\frac{1}{2}=-64[/tex]

For question 3:

[tex]\to 7^{-4} \div 7^{-2}= \frac{1}{7^{4}} \div \frac{1}{7^{2}}=\frac{1}{7^{4}} \times \frac{7^{2}}{1}=\frac{1}{7^{2}} =\frac{1}{49} =0.0204081633[/tex]

For question 4:

[tex]\to [(-3)^{2}]^3= (-3)^{2\cdot 3}= (-3)^{6}=729[/tex]

For question 5:

[tex]\to [5 \cdot (-3)]^{2}= 25 \cdot 9=225[/tex]

For question 6:

[tex]\to [(10 \div 5)]^{3}= [(\frac{10}{5})]^{3}=[2]^{3}=8[/tex]

For question 7:

[tex]\to 10^6 \cdot 10^{-4} \cdot 10^2= 10^6 \cdot \frac{1}{10^{4}} \cdot 10^2= 10^2 \cdot 10^2=10^4=10,000[/tex]

For question 8:

[tex]\to (-4)^{-5}=\frac{1}{(-4)^{5}}=- \frac{1}{1,024}=-0.0009765625[/tex]

For question 9:

[tex]\to \frac{2^3}{2^4}= \frac{8}{16}=\frac{1}{2}=0.5[/tex]

For question 10:

[tex]\to (-6)^3 \cdot (-6)^5 \cdot (-6)^{-5}= (-6)^3 \cdot (-6)^5 \cdot \frac{1}{(-6)^{5}}= (-6)^3 =-216[/tex]

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

Answer:

Jayden buys 4 pounds of coffee

Step-by-step explanation:

Let's say that p represents the number of pounds of coffee Jayden bought. She starts with $90, and for each pound she buys, she loses $7.26 dollars. Therefore, as she loses 7.26 dollars, we must subtract the amount she pays from $90. Then, as she loses 7.26 dollars for each pound, we multiply 7.26 by the number of pounds to find the money she spends.

We can thus write our equation as

90 - 7.26*p = final amount = 60.96

90-7.26p = 60.96

subtract 90 from both sides to isolate the p and its coefficient

-7.26p = -29.04

divide both sides by -7.26 to isolate the p

p = 4

Jayden buys 4 pounds of coffee

i think the answer is c :)

Answer:

(C.) sqrt(75)

Step-by-step explanation:

the simplification looks like this

1. 5 * sqrt( 3 )

2. sqrt(5 * 5 * 3)

3. sqrt(25 * 3)

4. sqrt(75)

Answer:

strictly speaking ... poly means MANY

3x+ 4 is a binomial (bi = 2 parts)

with only one part it can not be described as a "POLY-nomial"

Step-by-step explanation:

Answer:

super find out how many of

Subtract the amount Kelsey got more than Jake from the total:

1250 - 200 = 1050

Divide by 2:

1050/2 = 525

Jake got 525

Kelsey got 525 + 200 = 725

bAnswer: the answers is most likely a because of the nomination

Step-by-step explanation:

Answer:

[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]

Step-by-step explanation:

Answer:

square tables

round tables

12

Step-by-step explanation:

is this really that difficult ?

just think logically.

a square table sits 8 people. that means every square table "stands" for 8 people present.

a round table sits 6 people. so, every round table "stands" for 6 people present.

now, the whole party has 150 people.

that means the sum of all people on all tables is 150.

so, if we count all square tables, we know how many people are sitting at square tables, as each table "stands" for 8 people (we multiply the number of square tables by 8).

similar for the round tables.

so, we say we have x square tables and y round tables.

therefore the equation is

150 = 8×x + 6×y

the variable with the factor 8 must be describing the square tables (due to the reasons above).

that is x.

and the variable with the factor 6 must describe the round tables.

that is y.

now we are told that there are 9 round tables (y=9).

using the equation from above

150 = 8×x + 6×9 = 8×x + 54

96 = 8×x

x = 12

so, we must have 12 square tables to satisfy the condition that we have in total 150 people present.

Answer:

is there is no value of April

Step-by-step explanation:

so the value of the month April is zero

Answer:

A. 9x

B. ( 2 + 3 + 4 ) x

Step-by-step explanation:

2x + 3x + 4x = 9x

2x + 3x + 4x

= ( 2 + 3 + 4 ) x

Answer:

Step-by-step explanation:

First of all the first term is a1 and that's equal to -3

Every term is multiplied by 7

So the recursive formula is

an = 7*a_(n-1)

a2 = 7*a_(1 -1)

a2 = 7*-3

a2 = - 21

Now try a_4

a_4 = 7*a_3

a_3 = -147

a_4 = 7*(-147)

a_4 = -1029

environment is not natural uniform all from

Answer:

Step-by-step explanation:

sorry bout the poor drawing but it should be legible

Answer:

Step-by-step explanation:

-1 ≤ x < 3    Solution set = {-1, 0 ,1 , 2}

-2 < x < 2   Solution set  = {-1 , 0 , 1}

Integer values that satisfies both inequalities are -1 , 0 , 1

        I \\\\\\\\\   I                                                                                                          

      [-1]          -3                                                                                                                  I   \\\\\\\\\\\   I                                                                                                            -2              2                                                                                                            [tex]\displaystyle\bf x\in[-1;2)\\-1;0;\underline1\\\\Answer: 1[/tex]                                                                                                                                                                                                                                    

Answer:

y = one-third x + 3

Step-by-step explanation:

Answer:

(g ￮ f)(3) = 23

Step-by-step explanation:

Evaluate f(3) then substitute the value obtained into g(x)

f(3) = 2(3) + 4 = 6 + 4 = 10 , then

g(10) = 3(10) - 7 = 30 - 7 = 23

Answer:

There are 325 seats in each row

Step-by-step explanation:

78 × 325 = 25,350

Answer:

$ 2,600

Step-by-step explanation:

It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .

Here we just need to the number of people with the amount each person gave , that is ;

[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]

Hence the total money received by the organisation is $ 2600 .

Answer:

(D) 27 - C

Step-by-step explanation:

The "less than" means we are subtracting C from 27, so 27 - C.

Hope it helps (●'◡'●)