Please please please help asap I really need this :;((((

Answer:

a) 67

b) x= -8 and 4

c) 31

Step-by-step explanation:

a) if m<1 = (6x - 5) and m<5 = (5x+7), find m<3.

6x - 5 = 5x + 7

-5x + 5 - 5x + 5

x = 12

6(12) - 5 = 5(12) + 7

72 - 5 = 60 + 7

67 = 67

b) if m<4 = 32 and m<8 = (x^2 - 4x), find x.

32 = x^2 - 4x

- 32 - 32

x^2 - 4x - 32

(x - 8)(x + 4)

x - 8 = 0 x + 4 = 0

+ 8 + 8 - 4 - 4

x = -8 and 4

c) if m<4 = (4x - 17) and m<5 = (5x - 29), find m<1.

4x - 17 = 5x - 29

-5x + 17 -5x + 17

-x = -12

/-1 /-1

x = 12

4(12) - 17 = 5(12) - 29

48 - 17 = 60 - 29

31 = 31

Answer:

The answer to the question provided is

[tex] \frac{5}{24} [/tex]

Answer:

5/24

Step-by-step explanation:

0.21 is the decimal form

Answer:

1. x = ±3

2. x  =  13  over 5

3. –4x + 7

Answer:

1)10

2)10

3) 7

Step-by-step explanation:

Modulus means we always take the positive value for example

|-3| = +3

1) Find the absolute value of |8 + y| when y = 2

[tex]|8+2| \\|10|\\10[/tex]

2) Find the absolute value of |-8 + y| when y = -2

[tex]|-8+(-2)|\\|-8-2|\\|-10|\\10[/tex]

3) Simplify 4 + |x + 2| when x = -5

[tex]4 + |x + 2|\\4+|-5+2|\\4+|-3|\\4+3\\7[/tex]

Answer:

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Step-by-step explanation:

Let,

x be the price per pound of walnuts

y be the price per pound of chocolate chips

According to given statement,

4x+8y=25     Eqn 1

2x+3y=10      Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=10)

4x+6y=20    Eqn 3

Subtracting Eqn 3 from Eqn 1

(4x+8y)-(4x+6y)=25-20

4x+8y-4x-6y=5

2y=5

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{5}{2}\\y=2.50[/tex]

Putting y=2.50 in Eqn 2

2x+3(2.50)=10

2x+7.50=10

2x=10-7.50

2x=2.50

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{2.50}{2}\\x=1.25[/tex]

Hence,

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Answer:

3.) 10

Step-by-step explanation:

8x-2(x+1) = 7x+8

8x-2x-1=7x+8

6x-1=7x+8

-1=1x+8

+1     +1

1x+9

/x

x=1+9

x=10

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x ← equation of variation

When x = 15, then

y = [tex]\frac{3}{5}[/tex] × 15 = 9

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles whose the addition of their measures add up to [tex]180^{o}[/tex].

Given: <1 and <2.

<1 + <2 =  [tex]180^{o}[/tex] (supplementary angles)

If <1 ≅ <2 (congruent property), then we have;

<1 + <1 =  [tex]180^{o}[/tex]

2<1 =  [tex]180^{o}[/tex]

<1 = [tex]\frac{180}{2}[/tex]

   = [tex]90^{o}[/tex]

<1 = [tex]90^{o}[/tex]

So that since <1 and <2 are congruent, then;

<1 ≅ <2 ≅ [tex]90^{o}[/tex]

Therefore if <1 and <2 are supplementary and congruent, then they are right angles.

Answer:

410 minutes

Step-by-step explanation:

Given that:

Time for which Jesse practices trumpet in the first week = 165 minutes

Time for which Jesse practices trumpet in the second week = 245 minutes

To find:

The total amount of time rounded to the nearest 10 minutes.

Solution:

To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.

Therefore, total time taken = 165 + 245 = 410 minutes

It is already rounded off to the nearest 10 minutes.

Therefore, the answer is:

Total amount of time for which Jesse practices = 410 minutes

Answer: 9 1/3%

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

(4x+9y)-(4x+5y) = 14-6

4x-4x+9y-5y = 8

4y = 8

y = 2

Hope this helped!

Answer:

c

Step-by-step explanation:

just did the quiz

Answer:

the answer is 0

hope this helps;)

Answer:

it's -2/5 !

Step-by-step explanation:

Answer:

x would be 110 degrees as well and its pair would be the angle opposite of it. The other pair of angles would be the ones next to it. Those equal250 degrees.

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

there are 31 days in October

62 divided by 31= 2

he spent 2 dollars a day.

Answer:

-2 and 109

Step-by-step explanation:

just put that

Answer 2 and -109

Step-by-step explanation:

I did the test

Answer:

20 hot dog

Step-by-step explanation:

Divided by 15 by .75

Answer:

The numerator is the number on top of the bottom number (denominator)

Answer:

x=4

Step-by-step explanation:

divide the x-value by the y-value. 9/36 =0.25.

0.25*16=4

x=4.

Answer:

The answer is y=-x+4 and y=-3x+2

Step-by-step explanation:

Answer:

y = x + 4 and y = 3x + 2

Step-by-step explanation:

Both of the lines slopes are positive, and for the equation of y = 3x + 2, the slope is 3 rather than [tex]\frac{1}{3}[/tex] because it goes up 3 then to the right 1 rather than up 1 and to the right 3.

Answer:

27

Step-by-step explanation:

First difference,

[tex]\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1[/tex]

Second difference,

[tex]\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1[/tex]

Third difference,

[tex]\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1[/tex]

And so on.

Assuming the pattern holds on, we see that

i-th difference,

[tex]\Delta_{i} = a_{i + 1} - a_{i} = i + 1[/tex]

[tex]\implies a_{i + 1} = a_{i} + i + 1[/tex]

Then, nth term is,

[tex]\implies a_{n} = a_{n - 1} + n[/tex]

[tex]= a_{n - 2}+ (n + (n - 1))[/tex]

[tex]= a_{n - 3} + (n + (n - 1) +(n - 2))[/tex]

[tex]= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)[/tex]

[tex]= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k[/tex]

[tex]= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]

[tex]= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]

[tex]= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))[/tex]

[tex]= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)[/tex]

[tex]= a_1 + \frac{1}{2} (n -1 )(n + 2)[/tex]

[tex]\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)[/tex]

Now, the 21st term in the sequence is,

[tex]\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)[/tex]

[tex]= 1 + \frac{1}{2} \times 20 \times 23[/tex]

[tex]= 231[/tex]

Answer:

So answer is [tex]\frac{10+x}{y-3}[/tex]

Step-by-step explanation:

We are given with quotient of 10 plus x and y minus 3.

So, we can write 10 plus x as 10+x and y-3

So, quotient of 10+x and y-3 is [tex]\frac{10+x}{y-3}[/tex]

Answer:

8.5 FPS

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

Answer:

y = x^4-6

y=1/ x-2

Step-by-step explanation:

hope this helps

Answer: First one, 25x^2y^22

Step-by-step explanation:

if you multiply y^5*2 you get y^10 and x^2

that makes x^2y^10

then, if you multiply y^3*4 you get y^12

so you have to add the y s that makes x^2y^22