Simplify: 3(2x+7)-2(x+5)

Answer:

x = 41

And, the  number of CDs in Walter's collection is 41

Step-by-step explanation:

The computation is shown below;

Given that

The number of CDs in Jimmy collection = x

The number of CDs in Alex's collection = 4x

And, The total number of CDs in both collections is 205

So, the equation is

x + 4x = 205

5x = 205

x = 41

The alex collection is

= 4 × 41

= 164

So, the walter collection is

= 164 ÷ 4

= 41

Answer:

B.4

Step-by-step explanation:

It's asking the absolute value even though -6 is used here. So the answer is 4.

Answer:

40/100 times 500=200

Step-by-step explanation:

Answer:

Choice 1

Choice 4

Choice 5

Step-by-step explanation:

For this one you just have to plug in the x in every equation and solve it. If the answer is true it's true, but if it's false it's false.

Let's solve each of these...

Number 1:

[tex]9-3x=0\\9-3(3)=0\\9-9=0\\0=0[/tex]

As you can see 0 does equal itself so this one is true.

Number 2:

[tex]3x+1=9\\3(3)+1=9\\9+1=9\\10\neq9[/tex]

10 does not equal 9 so this one would be false.

Number 3:

[tex]5x-7=1\\5(3)-7=1\\15-7=1\\8\neq1[/tex]

This one is also false.

Number 4:

[tex]2x+4=10\\2(3)+4=10\\6+4=10\\10=10[/tex]

This one is true.

Number 5:

[tex]\frac{x}{3}+5=6\\\frac{(3)}{3}+5=6\\1+5=6\\6=6[/tex]

This one is true.

Number 6:

[tex]\frac{9}{x}-1=4\\\frac{9}{(3)}-1=4\\3-1=4\\2\neq4[/tex]

This one is false.

Answer:

5 4/9

Step-by-step explanation:

8 2/9 - 2 7/9

Converting the numbers from mixed Fraction :

(74/9 - 25/9)

L.C.M = 9

(74 - 25) / 9

= 49 / 9

= 5 4/9

Answer:

Step-by-step explanation:

Use PEDMAS  {Parenthesis ; Exponent ; Division ; Multiplication ; Addition; Subtraction }

8÷2 + 12*9 - 4*6 =  4 + 12*9 - 4*6     {Division}

                          = 4 +  108 - 24          {Multiplication}

                          = 112 - 24                  {Additon}

                          = 88

Answer: 88

Step-by-step explanation:

Evaluate using PEMDAS.

P = Parenthesis; There are no parenthesis in this expression

E = Exponents; There are no exponents in this expression

M = Multiplication; 12 x 9 = 108, 4 x 6 = 24

D = Division; 8/2 = 4

A = Addition; 4 + (12 x 9) = 112

S = Subtraction; (4 + (12 x 9)) - (4 x 6)

112 - 24 = 88

Answer:

A) $1.60

B) $13.60

C) 3 1/4 lb

Step-by-step explanation:

What we know:

A farmer uses the equation c = 1.6p to calculate the total cost, c, for p pounds of apples.

A) 1 pound would cost $1.60, as that is the unit rate.

B) 8.5 * 1.6

8.5 + (0.6 * 8.5)

8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.

C) 5.2/1.6

52/16

13/4 = 3 1/4 lbs of apple for $5.20

Answer:

https:brainly.com/question/20068899

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

Answer: 2 one number 2

Step-by-step explanation:

It's is number 2

The required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Given expression, (4y - 3)² = 72

Simplifying the above expression:
(4y - 3)² = 72

4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4

Thus, the required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

Answer:

2/3

Step-by-step explanation:

Given that:

Number of students = 80

Number of parents = 40

fraction of the ratio of students to the total number of people at the graduation

Total number of people at graduation =. (number of students + number of parents)

80 + 40 = 120

Number of students : total people

80 : 120

80/120 = 8/12 = 2/3

Answer:

[tex]4[/tex]

Step-by-step explanation:

Simplify the expression

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30

also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides

Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle

CAH = Cos(Ф) = Adj/ Hyp   we are given the Ф angle and we know the hypotenuse so solve for the Adj side

Hyp*Cos(Ф)= Adj

10 * Cos(60) = Adj

5 = Adj = y

Use Sin for the other side  and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet

Sin(Ф) = Opp/ Hyp

Hyp * Sin (Ф) = Opp

10 * Sin(60) = Opp

10 *[tex]\sqrt{3}[/tex]/2 = Opp

5*[tex]\sqrt{3}[/tex] = Opp = x

:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2  from a table and also my memory .. know that one from memory

Answer: [tex]1250\ m^2[/tex]

Step-by-step explanation:

Let x= Total land.

Then for Maize = [tex]\dfrac{x}{3}[/tex]    

For Potatoes = [tex]\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x[/tex]

For beans = [tex]x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha[/tex]

[tex]\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha[/tex]

1 ha = 10000.00 m²

0.9375 ha = 9375 m²

Land for potatoes = [tex]\dfrac{2}{15}(9375) =1250\ m^2[/tex]

Hence, [tex]1250\ m^2[/tex] of the land is on potatoes.

[tex]\Large\boxed{\tt Answer: 5\frac{2}{3} }[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

We can solve this by dividing both numbers by four.

[tex]\tt 8\div4=2\\12\div4=3\\\frac{2}{3}[/tex]

We then add that to 5 to get our answer.

Answer:

1, -2

Step-by-step explanation:

The x axis is 1 to the right, and the y axis is 2 down.

Answer:

9

Step-by-step explanation:

In order for this problem to have more than one solution, one will have to make it such that the two sides are equal. Call the unknown quantity "x", and solve this equation like a literal equation;

5u + 3(4u - 6) = -3u - 27 + 20u + x

Simplify, (distribute and combine like terms);

5u + 12u - 18 = 17u - 27 + x

17u - 18 = 17u - 27 + x

Inverse operations;

17u - 18 = 17u - 27 + x

-17u         - 17u

-18 = -27 + x

+27   + 27

9 = x

Answer: 9

Step-by-step explanation:

Answer:

11 elevenths equal a whole meatloaf

11/11=1

Answer:

11 11ths

Step-by-step explanation:

11/11 = 1 whole

Answer:

1.05 dollars will be ur answer ;)

Step-by-step explanation:

5x+24+5(x+5)

Distribute:

=5x+24+(5)(x)+(5)(5)

=5x+24+5x+25

Combine Like Terms:

=5x+24+5x+25

=(5x+5x)+(24+25)

=10x+49

Answer:= 10x+49

solve for x

10x =-49

10/10x -49/10

x= -4.9

Hope this helps

Answer:

B the second one -1/3

Step-by-step explanation:

hopefully this helps

Answer:

1. $17 + $7C.

This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.

2. $3A.

This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.

3. $20M.

This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.

4. $200 + $30M.

This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.

Step-by-step explanation:

Hope this helped!

Answer:

A. [tex] x \leq -16[/tex]  

B. b > 11

C. [tex] c \leq -13 [/tex]

D. [tex] x \geq -9[/tex]

Step-by-step explanation:

Given the following algebraic expression;

A. [tex] \frac {3x}{4} \leq 12 [/tex]

We would simplify the equation by multiplying all through by 4;

[tex] 4 * \frac {-3x}{4} \leq 12 * 4[/tex]

[tex] -3x \leq 48[/tex]

Divide both sides by -3;

[tex] x \leq -16[/tex]

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. [tex] 13c \leq -169[/tex]

Divide both sides by 13

[tex] c \leq -13 [/tex]

D. [tex] 3x - 7 \geq 4x + 2[/tex]

Collecting like terms, we have;

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

[tex] -x \geq 9[/tex]

Divide both sides by -1

[tex] x \geq -9[/tex]

Answer:

B and D (another answer but not sure about the other one)

Answer: A and B

Step-by-step explanation: I just did it

Answer:

option d (or the last one)

Step-by-step explanation:

-4 - (-1) = -4 + 1

-4 + 1= -3

hope this helpsss :>>

Answer:

D

Step-by-step explanation:

When you minus any negative number from a negative number, it is basically positive and that makes the answer D because it represents those transactions

Answer:

[tex]x = \$28.5[/tex]

Step-by-step explanation:

Given

Variation: Direct Proportion

[tex]3.2m = \$38[/tex]

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

[tex]3.2m = \$38[/tex]

and

[tex]2.4m = x[/tex]

Cross Multiply:

[tex]3.2m * x = \$38 * 2.4m[/tex]

[tex]3.2 * x = \$38 * 2.4[/tex]

Solve for x

[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]

[tex]x = \frac{\$91.2}{3.2}[/tex]

[tex]x = \$28.5[/tex]

Hence, the cost of 2.4m length is $28.5