The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of values matches the equation and includes only viable solutions?

Answer:

Reflexive Property

Two sets of angles are corresponding angles will be ∠w = ∠v and ∠x = ∠y. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Two similar triangles are shown below:

Then two sets of angles are corresponding angles will be

∠w = ∠v and ∠x = ∠y

Then the correct option is A.

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Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

The Thursday graph shows the time taken by Simran is

Total Time = 5 minutes

Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday

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Answer:

d. 15

Step-by-step explanation:

Let A and C be the initial number of marbles Ali and Cho have, respectively.

We are told that:

A = 3C  [Ali had 3 times as many marbles as cho does]

We then discover that  

C-4 = A-18   [After cho gives 4 marbles to Ali, Ali has 18 more marbles than cho does]

How many more marbles does cho have in the beginning?

We have 2 equations and 2 unknowns (A and C).  That means we can likely rearrange one of the equations and isolate one unknown on the left, and then use that in the second equation.

The first equation already has one of the unknowns isolated (A) so I'll use that in equation 2.

Eq. 1:   A = 3C

Eq. 2:  C-4 = A-18

Use the definition of A from Eq. 1 (=3C) to replace A in Eq. 2:

Eq. 2:  C-4 = A-18

          C-4 = (3C)-18    [Replace A with 3C, as promised in E1q. 1]

        -2C = -14

            C=7

If C = 7, then from Eq. 1,  A = 21

In the beginning, Ali has 21 marbles and Cho has 7.

Cho has 15 more marbles than Ali in the beginning.

a. 5

b. 9

c. 10

d. 15

Answer:

x = 6

Step-by-step explanation:

.16x + 2 * .02 = (x + 2) * .17
.16x + .4 = .17x + .34
.06 = .01x
6 = x

The multiplication law states that

So

Answer:

1 = 1

Step-by-step explanation:

We all know the law of exponents,the one we'll use to solve this is the multiplication law:

Solved:

x^0 = 1

Alternate method:

5^3 and 5^3 cancels, which results to

Answer:

g(x) = x^2+4

Step-by-step explanation:

The graph of f(x) = x^2 is translated up 4 units to become g(x) = x^2+4

Answer:

1.2

Step-by-step explanation:

because recurring means endless repeating.

At first, he made [tex]2\frac{5}{8}[/tex] kg of tuna filling.

Mr Abdul made tuna and curry potato filling for some puffs.

3/5 of the filling he made was tuna and the rest was curry potato.

So, amount of curry potato = 1- 3/5 = 2/5

Ratio of tuna & curry potato = tuna : curry potato

                                               = 3/5 : 2/5  = 3 : 2

Let amount of tuna = 3x & amount of curry potato = 2x

After he used 1/8kg of the tuna filling and made another 3/4 kg of curry potato filling.

According to the question, he then had equal amounts of tuna filling and curry potato filling left.

So, 3x - 1/8 = 2x + 3/4

Multiplying 8 in both sides we get,

⇒ 24x - 1 = 16x +6

⇒ 24x - 16x = 7

⇒ 8x = 7

⇒ x = 7/8

So, 3x = (3×7/8) = 21/8 kg = [tex]2\frac{5}{8}[/tex] tuna filling at first.

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It is to be noted that the Graph of the indicated inequalities is herewith attached.

As indicated above, this is a graph of a system of inequalities, where:

Y > -4x-1 and

y <3/2x-1

No. the point (-1, 1) is not included in the solution area for the system.

Step 1 - Plug in (-1, 1) in to the first equation. where y = -1 and x = 1.

Hence,

-1 > -4(1) -1

4 +1 < -1

4 < 0 (This is False)

Step 2  - Plug in (-1, 1) in to the second equation. where y = -1 and x = 1.

-1 < (3/2)(1) - 1

-1 < 1/2 (This is true).

Thus (-1, 1) is only partially included in the solution area.)

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The solutions of the given equation are x= (√5+3)/2 & x= (-√5+3)/2

If ax²+bx+c = 0 is a quadratic equation ,where a,b,c are real numbers, Then the solution is x = (-b±√(b²-4ac))/2a , where a≠0

The given equation is, 4x²-12x+9 = 5

So, 4x²-12x+9 = 5

⇒ 4x²-12x+9-5 = 0

⇒ 4x²-12x+4 = 0

Comparing this equation with ax²+bx+c = 0 we get,

a = 4, b = -12, c = 4

Applying sridharacharya formula we get,

x = (-(-12)±√((-12)²-4×4×4))/(2×4)

  = (12±√(144-64)/8

  = (12±√80)/8

  = (3±√5)/2

The values of x are (√5+3)/2 & (-√5+3)/2

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Answer:

x = 21

Step-by-step explanation:

3x - 4 = 2x + 17 because of alternate angles

3x - 2x = 17 + 4

x = 21

Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. Therefore, <ADC and <FDA are a linear pair.

Step-by-step explanation:

Answer:

Solution : AP = 19 , 15 , 11 , 7 , 3.....

Common difference ( d ) = 15 - 19 = -4.

Answer:

The common difference is -4.

Step-by-step explanation:

Subtract a term from the next term.

11 - 15 = -4

The common difference is -4.

Answer:

D

Step-by-step explanation:

On graphing the 3 equations, we find that the central area (triangle) formed by the 3 inequalities is the solution.

Answer:

D

Step-by-step explanation:

When graphing inequalities:

Given inequalities:

[tex]\begin{cases}y > \dfrac{1}{2}x-1\\\\y\leq -x+1\\\\y > -2x-1 \end{cases}[/tex]

From inspection of the given graphs, the red dashed line is the first inequality as it is the only inequality with a positive slope.

The blue sold line is the second inequality, as it is the only inequality with the sign that suggest a solid line.

Therefore, by process of elimination, the green dashed line is the third inequality.

Using the inequality signs and their definitions for shading, find the graph that has:

The only graph that matches these conditions is graph D

The equivalent expression to given expression is 1/3.

Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.

Here, given expression

    [tex]\sqrt{2/x^2} X \sqrt{x^2/18}[/tex]

=   [tex]\sqrt{2 X x^2/18x^2}[/tex]

=    [tex]\sqrt{1/9}[/tex]

=   1/3

Thus, the equivalent expression to given expression is 1/3.

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When we say to solve for something

 ⇒ essentially move everything to one side

    ⇒ and that 'something' to the other

In this case:

 ⇒ we need to move the y-variable by itself to one side

   ⇒ and everything else to the other

Let's apply that principle:

 [tex]12y+d=-19y+t\\12y+19y=t-d\\31y=t-d\\y=\frac{t-d}{31}[/tex]

Answer: (t-d) / 31

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Answer:

this right here

Step-by-step explanation:

31y=t-d

Without the table indicating the stated premium rates and applicable discounts, the monthly property insurance cannot be computed. Hence, on the assumption that the rate is 2.5% and the discount applicable is 7.5% the premium per month will come to $152.24

The simple definition of Property Insurance is, it is an insurance policy that covers a policyholder for the structure of a building and its contents against stated or agreed perils.

Given (based on assumption) that the applicable annual rate is 2.5%

and that:

Hence annual premium will be:

= (67,000 + 12000) * (2.5/100) * 0.925

Annual Premium Payable = $1,826.89.............A

Recall that we are asked to derive the monthly Insurance premium.

This is thus given as: Answer in A/12

→  1,826.89/12

= $152.24

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Answer:

6 because 30 divided by 5 is 6 so he would have 1$ change

Answer:

Toby can buy 6 T-shirts with 1 extra dollar leftover

Step-by-step explanation:

Hook me up with a 5 star and a thanks :)

Answer:

Step-by-step explanation:

Comment

Expand the second and 3rd factors first. Then worry about the x.

Solution

x(x + 2)(x + 4)

first: x * x =  x^2

Outside: 4*x = 4x

Inside: 2*x = 2x

Last: 2*4 = 8

Combine

x^2  + 4x + 2x + 8

x^2 + 6x + 8

Now is the time to worry about the extra x

x(x^2 + 6x + 8)

remove the brackets.

x*x^2 + x*6x + 8*x                

Combine

Answer: x^3 + 6x^2 + 8x            

Answer:

It cost Hector $28.8

Step-by-step explanation:

How to find the answer:

36 - 20%

= $28.8

Answer:

something like this

Step-by-step explanation:

you want the line to go as close to as many dots as possible

He needs to have $205783 amount of money to receive  $5000 every 6 months for 10 years.

Interest is the amount of money received , when a certain lump sum amount is deposited.

It is given that the person is receiving  ,

Interest = $5000 ,

after six months , every six month

Time Period = 10 years

Interest Rate = 4%

Compounded Semiannual

Let the principal amount be $x

Compound Interest is given by

Amount = P[ 1 + r/n]ⁿˣ

Here x is the time period

Therefore the Amount = x{ 1 +0.04/2}²⁰

x + 5000 *20 = x{ 1 +0.04/2}²⁰

x + 100000 = 1.486 x

x = $205783

Therefore he needs to have $205783 amount of money to receive  $5000 every 6 months for 10 years.

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The number of simulations in which was there was an on-time departure for all three flights is; 6

We are given;

Number of Simulations = 20

Numbers that represent late departure = 0, 1, 2 or 3

Numbers that represent On-time departure = 4, 5, 6, 7, 8 or 9.

Now, the 20 simulations as seen online are;

339 931 317 444 432 858 194 192 649 709

742 626 702 258 955 880 505 854 774 132

To know the number of simulations that were on-time departure, we need to find the ones that don't include 0, 1, 2 or 3.

Looking at the simulations, the ones that represent on-time departure are 444, 858, 649, 955, 854, 774.

Thus, there are 6 simulations in which was there an on-time departure for all three flights

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Answer:

(2*2*1.5*1/3)+(2*1.5*4)= 14

Step-by-step explanation:

To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.

The equation is [tex]f(t)=50(0.5)^{\frac {10}{5.3}}[/tex] and approximately 13.52  milligram remains

The missing information in the question is:

[tex]f(t)=m(0.5)^{\frac th}[/tex]

When the mass is 50 mg, it means that:

m = 50

So, we have:

[tex]f(t)=50(0.5)^{\frac th}[/tex]

When 10 years remain in the life of the substance, it means that:

t = 10

So, we have:

[tex]f(t)=50(0.5)^{\frac {10}h}[/tex]

The half life is 5.3. So, we have

[tex]f(t)=50(0.5)^{\frac {10}{5.3}}[/tex]

Evaluate the equation

f(t) = 13.52

Hence, the required equation is [tex]f(t)=50(0.5)^{\frac {10}{5.3}}[/tex] and approximately 13.52  milligram remains

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Answer:c

Step-by-step explanation:

Answer:

y=6,x=0

Step-by-step explanation:

here's an attachment with how to solve