Task 9
Here is an equation:
15(x-3)/5 = 3(2x-3)

Solve the equation by using the distributive property first.

Then solve without using the distributive property and

check your solution.

Task 9Here Is An Equation:15(x-3)/5 = 3(2x-3)Solve The Equation By Using The Distributive Property First.Then

Answers

Answer 1

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

Answer 2

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

3 ( x - 3 ) = 3 ( 2x - 3 )

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

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Related Questions

A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted​

Answers

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

The sum of three consecutive even integers is 30 more than the largest

Answers

Answer:

nljgdetbeybrybdtbrbrtbetbrynrynenehtnehymyrumeymryjmryj ryu

What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Please help will give you brainliest

Answers

Answer:

14 ft squared

Step-by-step explanation:

Area is length x width so 7 x 2 = 14.

Hope this helps :D

Max is asked to prove that LM=MN Here is hs proof.

This is not a correct proof explain why

Answers

Answer:

Its not true because:

Step-by-step explanation:

if you divide by M, with M not being 0, ypu have the equation L=N which is false

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation)

Answers

Answer:

7x

Step-by-step explanation:

To purchase 7 tickets at the same rate ;

Mathematically, Total Cost of an item is :

Cost = unit price * quantity

Here,

quantity = 7 tickets

Since price per ticket(rate) is the same ; then we can take rate as x

Hence, the cost of the 7 tickets is :

Quantity * rate

7 * x = 7x

I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?

Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answers

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

Is r<23 true or false

Answers

true because i searched up the answer hope they helps :)

Answer:

Step-by-step explanation:

True

Hi I need help please

Answers

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

8x = 72

x = 9

8x-10=62

solve for x

8x=62+10

8x=72

x=72/8

x=9

The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?

Answers

Answer:

First number = 75.5

Second number = 45.5

75.5 and 45.5



hope this helps

Determine the approximate average rate of change in the number of tickets sold between the 3rd and 10th days after the release.
OA.
OB.
The number of tickets sold changed at an average rate of approximately -20 tickets per day.
The number of tickets sold changed at an average rate of approximately – 7 tickets per day.
The number of tickets sold changed at an average rate of approximately –10 tickets per day.
The number of tickets sold changed at an average rate of approximately –3 tickets per day.
Ос.
D.

Answers

Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

What is the average rate of change?

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

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Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale

Answers

Answer:

70

Step-by-step explanation:

6x5=30

8x5=40

40+30=70

4x + 7 = ? (I'm not so good in math so please help)

Answers

Answer:

4(x+ 1.75)

Step-by-step explanation:

Answer: 4

i wish that helped

I'm confused, I'm used to doing these problems with both coordinates :/

Answers

Answer:

{0, 1, 16, 81}

Step-by-step explanation:

If the domain of this function is the set {0, 1, 4, 9}, we find the set representing the range by evaluating the function at each of the four values in the domain.

f(0) = 0

f(1) = 1

f(4) = 16

f(9) = 81

and so the range is the set {0, 1, 16, 81}.

ANSWER FAST ITS DUE IN AN HOURRRRRR

Answers

You question by using your brain I don’t know answers but please give me brainliest I’m trying to rank up. Y = mix+b

A recipe that makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need

F. 1 1/8 cups
G. 4 cups
H. 6 3/4 cups
J. 3 cups

Answers

Answer:

h

Step-by-step explanation:

trust me js divide

please help thank you :)

Answers

Answer:

∠7 = 85°

Step-by-step explanation:

∠1 = 180 - 115 = 65°              Because they are supplementary angles

∠2 = 180 - 65 - 85 = 30°      Because the sum of all interior angles in a triangle

                                             equals 180°

∠3 = 90°                               given

∠6 = 180 - 90 - 30 = 60°      Because they are supplementary angles

∠4 = 180 - 155 = 25°             Because they are supplementary angles

∠5 = 180 - 25 - 60 = 95°      Because the sum of all interior angles in a

                                             triangle equals 180°

∠7 = 180 - 95 = 85°              Because they are supplementary angles

2) Solve the system of equations using substitution.
2x – 9y = 14
x= -6y +7

Answers

2(-6y)-9y = 14
-12y - 9y = 14
-21y = 14
y = -2/3

Answer:

(7,0) ---> (x = 7) and (y = 0)

Step-by-step explanation:

2x – 9y = 14

x= -6y +7     <-- (Substitute for x to above equation)

---------------------------------------------------------------------------------------------------------

2(-6y +7)– 9y = 14

-12y + 14 - 9y = 14    <-- combine like terms

-21y + 14 = 14  

        -14 = -14   <-- inverse operation on both sides

      -21y = 0     <-- Divide

          y = 0  <--- Substitute for y to get x  ↓

-------------------------------------------------------------------------------------------------------

2x – 9y = 14

2x – 9(0) = 14     <-- Substituted y from above

          2x = 14     <-- Divide

            x = 7

What is the coefficient of q in the sum of these two expressions?

(23q – 34) and (–16q – r)
2/3
3/4
1/2
1

Answers

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

Sorry its long but ill give brainlist to the right one just look at the images and multiple choice parts

Answers

First one is 75/100 = x/80 with 60 free throws, second best is 70/100 = x/80 with 56 free throws, and last is 65/100 = x/80 with 52 free throws

someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above)

Answers

Step-by-step explanation:

just use step by step process so dum

The isotope Herodium-100 decreases by half every minute, Herodium-100 is there
isotope that gives a super hero their strength. Once the amount depletes to 4 ml, a
superhero becomes tired and need to leave the fight. If Mathman has 2000mL in his
body, when will he have to rest and replenish, rounded to the nearest minute?

Answers

Answer:

After about 9 minutes.

Step-by-step explanation:

We can write an exponential function to model the decay of Herodium-100.

We are given that it decreases by half every minute.

The standard exponential function is given by:

[tex]f(m)=A(r)^m[/tex]

Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).

Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.

And since it decreases by half every minute, r = 1/2. Thus:

[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]

Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:

[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]

Solve for m. Divide both sides by 2000:

[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]

By logarithm properties:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]

Therefore:

[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]

Mathman will have to rest and replenish after 9 minutes.

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

HElppppp will mark brainlest!!!!!!

Answers

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

Identify the slope of the graph below

Answers

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0

Answers

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

[tex]y = \frac{-1}{3}x[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

[tex]y = \frac{-1}{2} x+2[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)

Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?

A 1/6

B 1/3

C 1/2

D 3

Please help!

Answers

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21​

Answers

Answer:

D. The equation has a maximum value with a y coordinate of -21​

Step-by-step explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

x = -b/2a

For the given equation the vertex is:

x = -12/2(-3) = 2

The value of y at x = 2 is:

y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D

Pleaseee help! HELP NEEDED ASAP!

Answers

5. y=20x
6. y=-6x+360
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