Solve the equation below for x.
0.5(x + 7) + 9 = 43

Answer:

Step-by-step explanation:

(==========================)

(                        12.024               )

(                        12.04                 )

(                   1,204.2                   )

(==========================)

12.024          12.04        1,204.2

=========,=========,=========

hope this helps

Answer:

x = - 1/2

Step-by-step explanation:

-3(x-4) = -9(x - 1)

1. Distributive Property

-3 * x -3 *-4 = -9 * x -9 * -1

-3x + 12 = -9x + 9

Hint: 2 negatives make a postive

-3x + 12 = -9x + 9

2. Subtract 12 on both sides

-3x + 12 - 12 = -9x + 9 - 12

-3x = -9x + -3

3. Add 9x on both sides

-3x + 9x = -9x + 9x + -3

6x = -3

4. Divide both sides by 6 to isolate the variable

6x/6 = -3/6

x = - 1/2

Check:

-3(-1/2-4) = -9( -1/2- 1)

3/2 + 12 = 9/2 + 9

3/2 + 12 ( we need a common denominator so...lets make it  2 )

3/2 + 12*2/1*2

3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5

Now...

9/2 + 9 ( we need a common denominator so..lets make it 2 )

9/2 + 9*2/1*2

9/2 + 18/2 = 27/2 = 13 1/2 = 13.5

13.5 = 13.5 CORRECT!

27/2 = improper fraction

13 1/2 = mixed number

13.5= decimal form

Hope this helped

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

that's what I got on the calculator.

Answer:

24?

Step-by-step explanation:

Answer:

A. 4/ 3

Step-by-step explanation:

With reference angle X

perpendicular (p) = 24

base (b) = 18

Now

tan X = p / b = 24 / 18 = 4 / 3

Answer:

a1=1

d=3-1

=2

an=a1+(n-1)d

=1+ (n-1)2

=1+2n-2

2n-1

Answer:

Step-by-step explanation:

the part-to-whole relationship between homework help and sports

Answer:

Last one could be either "Prove" or "CPCTC"

Answer:

b

Step-by-step explanation:

just took the test edg 22

Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic function is f(x) = 4x²+24x+11

We have to find the zero of the function.

Let us use the quadratic formula to find the zero.

a=4, b=24 and c=11

Let us plug in these values in quadratic formula

x=- 24±√24²-4(4)(11)/8

=-24±√576-176/8

=-24±√400/8

=-24±20/8

=4(-6±5)/8

=(-6+5)/2  or -6-5/2

=-1/2 or -11/2

=-0.5  or -5.5

Hence, Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ7

Answer:

D: 7x + 5y ≥ 200

Step-by-step explanation:

If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.

Answer:

b

Step-by-step explanation:

if you say 1<2 and multiply both by negative 3 you will have -3 > -6

Answer:

Step-by-step explanation:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number. You can also consider this with a number line.

I hope this helps!

Answer:

0.545436

Step-by-step explanation:

First convert the fraction into a decimal

36/121 is 0.2975

Then find the square root which is 0.545436

Answer:

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Step-by-step explanation:

Step(i):-

Given

                 h(t)=-16t²+100t   ...(i)

Differentiating equation (i) with respective to 't'

              [tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]

              -32t + 100 =0

            ⇒ -32 t = -100

           [tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]  

         t = 3.125 > 0

Step(ii):-

 Given h(t) = -16t²+100t  = 0

t ( -16 t + 100 ) =0

t =0 and  -16t = -100

t =0 and  t = 6.25

Step(iii):-

             h(t) = -16t²+100t ...(i)

put t=0  in equation (i)

           h(0) = 0

put t = 3.125 in equation (i)

h(t) = -16(3.125)²+100(3.125)

         h (t) =  156.25

Put t = 6.25

h(t) = -16(6.25)²+100(6.25)

    = 0

The maximum value h(t) = 156.25 at 3.125

final answer:-

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Answer:

x= 75°

because 180°-105°=75°

Answer:

b

Step-by-step explanation:

Answer:

It is B.

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

-5<n<2Thus ans(-4,-3,-2,-1,0,1)

Step-by-step explanation:

Divide all by 3 so that we can make n and find the value using sign

Answer: 100 x 2^ t/9

Step-by-step explanation:

The initial population of 100 that doubles in 9 years, gives the

expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].

Given parameters are;

The time it takes the population to double = 9 years

The initial population count = 100

Required:

The expression that gives the population after t years.

Solution:

The population as a function of time can be expressed as an

exponential function as follows;

[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]

At the start, t = 0, P = 100, we have;

[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]

Therefore;

P₀ = 100

After 9 years, we have;

P = 2·P₀

Therefore;

[tex]2 = \mathbf{ e^{c \times 9}}[/tex]

ln(2) = 9·c

[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]

The function that gives the population is therefore;

Learn more about exponential functions here:

https://brainly.com/question/15602335

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Answer: x ≤ 5

Step-by-step explanation:

Answer:

In 3 years, the value of Samuel’s account will be approximately $133

It will take about 5 years for Samuel’s account to earn $61 in interest.

Step-by-step explanation:

edmentum

ok imma try...

Answer: the corresponding sides are proportional. and they arent the same shape, please correct me if im wrong

Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p