What is the value of k in the equation 10k-7=7k-15

Answers

Answer 1

Answer:

k=-8/3

Step-by-step explanation:

10k-7=7k-15

10k-7k-7=-15

3k-7=-15

3k=-15+7

3k=-8

k=-8/3


Related Questions

30 points !!!! :)) please help thanksss

Answers

Answer:

A = 10⁰

Step-by-step explanation:

We have 2.247 and this to represented as [tex]$ 2 \times A + 2 \times B + 4 \times C + 7 \times D $[/tex]

[tex]$ 2.247 = \frac{2247}{1000} $[/tex]

[tex]$ 2.247 = 2 \times 10^0 + 2 \times \frac{1}{10} + 4 \times \frac{1}{10^2} + 7 \times \frac{1}{10^3} $[/tex]

Comparing with the given data, we have:

A = 10⁰

B = [tex]$ \frac{1}{10} $[/tex]

C = [tex]$ \frac{1}{10^2} $[/tex]

D = [tex]$ \frac{1}{10^3} $[/tex]

Hence the answer A = 10⁰.

PLEASE HELP!!! What is the simplified form of square root of 2160x^8/ 60x^2? Assume

Answers

Answer:

6x^3

Step-by-step explanation:

2160x^8/ 60x^2

2160/60=36

x^8-2 because your dividing

x^6

36x^6 (you're not done)

after you've got the square root

6x^3 because

36=6*6

and the square root of 6 is 2.45 which rounds to 3

(I'm pretty sure this is the answer).

The simplified form of [tex]\rm \sqrt{\dfrac{2160 x^8}{60x^2}[/tex] is 6x³ , Option C is the right answer.

What is Square root ?

Square root of a positive square number is the number itself.

[tex]\rm \sqrt{y^8} = y^4[/tex]

In the given question the expression given is

[tex]\rm \sqrt{\dfrac{2160 x^8}{60x^2}[/tex]

To simplify this

the numerator and the denominator has to be simplified first

[tex]\rm \dfrac{2160x^8}{60x^2}\\[/tex]

[tex]\rm \dfrac{2160}{60}\\ \\\\\ \dfrac{1080}{30}\\\\\\ \dfrac{540}{15} \\\\\\ \dfrac{108}{3}\\\\= 36[/tex]

[tex]\rm \dfrac{x^8}{x^2} \\\\= x^{8-2}\\\\= x^6[/tex]

Therefore

[tex]\rm \sqrt{36x^6}[/tex]

6x³

The simplified form of [tex]\rm \sqrt{\dfrac{2160 x^8}{60x^2}[/tex] is 6x³ , Option C is the right answer.

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A basketball player scored 19 times during one game. He scared a total of 28 points, two for each two-point shot and one for each free throw. How many two-point shots did he make? How many free throws?

Answers

Answer: 10 free throws made, 9 two-point shots made

Step-by-step explanation:

x=number of free throws

y=number of two-point shots

x+y=19

x+2y=28

solve by elimination

x+2y=28

-(x+y=19)

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

y=9

x=10

Answer: 10 free throws made, 9 two-point shots made

Step-by-step explanation:

x=number of free throws

y=number of two-point shots

x+y=19

x+2y=28

solve by elimination

x+2y=28

-(x+y=19)

(Y=9

X=10)

What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64[tex]x^3[/tex] and 64[tex]m^3[/tex]-1

Answers

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is [tex]27 + 64x^{3}[/tex]

Now, the equation is [tex]27 + 64x^{3} = 0[/tex]

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

(3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be [tex]- \frac{3}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  

Again, we have to solve the difference of two cubes which is [tex]64m^{3} - 1[/tex]

Now, the equation is [tex]64m^{3} - 1 = 0[/tex]

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

(4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be [tex] \frac{1}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.  (Answer)

Triangle PQR is reflected over the x axis.What are the coordinates of Q’

Answers

Answer:

(8, -2)

Step-by-step explanation:

(8, 2) becomes (8. -2)

Answer:

(8 -2)

Step-by-step explanation:

Help me solve it the system by substitution

Answers

Answer:

x=-3, y=5. (-3, 5).

Step-by-step explanation:

y=x+8

x+y=2

----------

x+x+8=2

2x+8=2

2x=2-8

2x=-6

x=-6/2

x=-3

y=-3+8=5

Answer:

(-3,5)

Step-by-step explanation:

please help, i would really appreciate it, thank you

Answers

Answer:

A'(-16,4), B'(16,-12), C'(8,12), D'(-4,16)

Step-by-step explanation:

The dilation with a center of dilation at (0,0) and scale factor of [tex]\frac{1}{4}[/tex] has the rule

[tex](x,y)\rightarrow \left(4x,4y\right)[/tex]

Quadrilateral ABCD has vertices at points A(-4,1), B(4,-3), C(2,3) and (-1,4).

Therefore, the image vertices are

[tex]A(-4,1)\rightarrow A'(-16,4);[/tex][tex]B(4,-3)\rightarrow B'(16,-12);[/tex][tex]C(2,3)\rightarrow C'(8,12);[/tex][tex]D(-1,4)\rightarrow D'(-4,16).[/tex]

*******************
Challenge: Ms. Dortch's class wants to go to on
a camping trip. The cost of the trip is $235. The
class has a bake sale to raise money. They can
make $45 a week for 5 weeks. How much more
money will they need?
The Clever factory​

Answers

Answer:

$10

Step-by-step explanation:

$45 x 5 = 225

$225 + $10 = $235

Answer:

They will need $10 more dollars

Step-by-step explanation:

So 45 times 5 is 225 so what that means is that for each week they raised 45 dollars multiply that by 5 weeks and they made $224 dollars then subtract that from 235 so (235-225=10)

They will need $10 more dollars

Mr. Wallace needs to divide his class or 23 students into 9 groups. Each group can have two or three students. If a is the number or groups of 2 and b is the number of groups of 3, what system of equations could Mr. Wallace use to solve this problem ?

Answers

Answer:

d)  Mr.Wallace can use the following equations:

    a + b = 9

   2 a + 3 b = 23

Step-by-step explanation:

Here, the total number of students = 23

Number of groups = 9

Each group can have 2 or 3 students.

a is the number of  groups of 2.

Total students in a groups  = a x (Number of  student in each group)

= a x 2 = 2 a

b is the number of groups of 3

Total students in b groups  = b x (Number of  student in each group)

= b x 3 = 3 b

So, according to the question:

Total number of groups formed = 9

a + b = 9

Total number of students  = 23

or Number of students in  ( a  group + b group ) = 23

2 a + 3 b = 23

Hence, Mr.Wallace can use the following equations:

a + b = 9

2 a + 3 b = 23

how to do this problem and what's the answer​

Answers

if a line is perpendicular to another line with slope m, the perpendicular line's slope is always -1/m. Since the slope of the given line is -4, the perpendicular slope would be 1/4 (-1/-4 = 1/4). Our line right now is y = (1/4)x + b. Now substitute the given point in for x and y to solve b. In this case b = -1, so your line would be  y = (1/4)x + -1.

Please hurry I need help
4x-3=2x-13
Find x

Answers

move the x’s to one side and the numbers to another

4x-3=2x-13
2x=-10

divide by 2

x=-5

Answer: x=-5

(^._.^)ノ

Step-by-step explanation:

4x-3=2x-13

Subtract

4x−3−2x=−13

Simplify

2x−3=−13

Add 3 to both sides

2x=−13+3

Simplify again

2x=-10

Divide both sides by 2

x=[tex]-\frac{10}{2}[/tex]

Simplify one last time

x=-5

You're finished! Not only that but you found the answer :3

Hope this helps, have a BLESSED and wonderful day! :-)

Write 4 over 6 in simplest form.

Answers

Answer:

2/3

Step-by-step explanation:

Cancel the common factor 2 = 2/3

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground. After
5
minutes of descending at a rate of
1.8
Meters per minute, he was
13.5
meters below the ground.

Answers

Answer: –1.8x – 4.5

Step-by-step explanation:

The guy above me obviously doesn’t know how to do this so here this is the correct answer

Answer:

–1.8x – 4.5

Step-by-step explanation:

Ms. Mundo made 40 ounces of tropical punch to pour into glasses. Each glass holds 7 1/2 ounces. What fraction of the last glass is full of punch?

Answers

Final answer:

Ms. Mundo can fill 5 full glasses with 40 ounces of tropical punch, with 5 ounces remaining. This remaining amount fills 2/3 of the last glass.

Explanation:

Ms. Mundo made 40 ounces of tropical punch to pour into glasses that each holds 7 1/2 ounces. To find out what fraction of the last glass is full of punch, we first need to determine how many full glasses can be poured from the 40 ounces.

Since each glass holds 7.5 ounces (which is the same as 7 1/2 ounces), we divide 40 by 7.5 to find the number of full glasses:


 40 ÷ 7.5 = 5 remainder 5

This means that 5 full glasses can be filled, with 5 ounces of punch remaining. Now, to find out what fraction of the last glass the remaining punch fills, we divide the leftover ounces by the capacity of one glass:


 5 ÷ 7.5 = 2/3

The fraction of the last glass that is full of punch is 2/3.

A realtor makes 5% commission on each sale how much commission will the realtor earn for selling a $150,000 house

Answers

Answer:

$7,500.00

Step-by-step explanation:

The Realtor commission will be 5% of $150,000.00

(5% * $150,000)/100% = $7,500.00

The realtor makes a 5% commission on a $150,000 house, which equates to a commission of $7,500 by multiplying the sale price by the commission rate (0.05).

To calculate the amount of commission a realtor earns on a house sale, you simply multiply the sale price of the house by the commission rate. In this case, the realtor makes a 5% commission on a $150,000 house sale. We calculate the commission as follows:

First, convert the percentage rate to a decimal: 5% = 0.05.Then, multiply the sale price by this decimal: $150,000 x 0.05.Do the multiplication to find the commission: $150,000 x 0.05 = $7,500.

Therefore, the realtor will earn a commission of $7,500 for selling the $150,000 house.

Kelly and Rachel collected 193 pounds of newspaper between them. Kelly collected 35 pounds more than Rachel. How many pounds of newspaper did each girl collect?

Answers

Answer:take 193 and subtract 35. you should get 158 then divide 158 bby 2 you should get 79 add 35 to 79 you should get 114. therefore kelly will have 114 and rachel will have 79

Step-by-step explanation:

Answer:

Kelly collected 114 pounds of newspaper. Rachel collected 79 pounds of newspaper.

Step-by-step explanation:

Write an expression for each girl to figure out how many pounds of newspapers they each collected:

(x represents pounds of newspapers)   Rachel = x     Kelly = x + 35

To solve, combine the two expressions into one equation: 2x + 35 = 193

Then, subtract 35 from both sides of the equation. Make sure you subtract from both sides of the equation to keep it equal: 2x + 35 - 35 = 193  - 35

The equation left is: 2x = 158

Divide both sides by two in order to get the x by itself: 2x ÷ 2 = 158 ÷ 2

The answer will be: x = 79

Then, substitute 79 for x in the first equations:

Rachel = 79    Kelly = 79 + 35

Solve for the final answer: Rachel = 79    Kelly = 114

f(4) if f(x) = 3x - 1​

Answers

Answer: 11

Step-by-step explanation:

plug in 4 any instance you see "x"

f(x) = 3x - 1​

f(4) = 3(4) - 1 = 11

Functions are mappings who map inputs to at max one corresponding outputs. The value of function at x=4 is: [tex]f(4) = 11[/tex]

How to evaluate a given function  if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For given case, we have:

[tex]f(x) = 3x - 1[/tex]

Taking x = 4, we get:

[tex]f(4) = 3(4) - 1 = 3 \times 4 - 1 = 12 - 1\\f(4) = 11[/tex]

Thus, The value of function at x=4 is: f(4) = 11

Learn more about evaluating functions here:

https://brainly.com/question/2753269

I got n= 8/5, -1, but I don't think it's right. I would really appreciate any help with this :)

Answers

Answer:

S₈ = 296

Step-by-step explanation:

Given: 2 + 12 + 22 + 32 + .... + (10n - 8) = [tex]$5n^2 - 3n $[/tex]

To prove [tex]$ S_8 $[/tex] is true, substitute [tex]$ n = 8 $[/tex] and compare LHS and RHS

n = 8:

[tex]10n - 8 = 10(8) - 8[/tex]

[tex]$ \implies 72 $[/tex]

[tex]$ \therefore LHS = 2 + 12 + 22 + 32 + 42 + 52 + 62 + 72 $[/tex]

[tex]$ = 296 $[/tex]

Now, Substituting n = 8 in RHS, we get:

[tex]$ 5n^2 - 3n = 5(8)^2 - 3(8) = 5(64) - 24 $[/tex]

[tex]$ = 296 $[/tex]

Therefore, RHS  = 296

We see, LHS = RHS

Hence, we can conclude that [tex]$ S_8 $[/tex] is correct.

Solve for B and C please :)

Answers

Part A

h(d) = (-1/5)d^2 + 2d is the same as h(d) = -0.2d^2 + 2d because -1/5 = -0.2

I'll use x in place of d, and y in place of h(d) to get this equivalent equation: y = -0.2x^2 + 2x

Let's find the vertex of y = -0.2x^2 + 2x

Note how y = -0.2x^2 + 2x is in the form y = ax^2+bx+c with

a = -0.2

b = 2

c = 0

So the x coordinate of the vertex is

h = -b/(2a)

h = -2/(2(-0.2))

h = 5

Plug this value into the h(d) function to compute the corresponding y coordinate

h(d) = -0.2d^2 + 2d

h(5) = -0.2(5)^2 + 2(5)

h(5) = 5

Coincidentally, the x and y coordinates of the vertex are both the same. This wont be the case in general.

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

Answers:

The vertex is located at (5,5)

The interpretation is that the highest the dolphin can get is 5 feet off the surface of the water and this occurs 5 horizontal feet away from the starting point. Imagine a parabola that opens downward to have a highest point at the vertex mentioned.

====================================

Part B

From part A above, we found x = 5 to be the x coordinate of the vertex. Simply double this value to get 10 as the answer. The reason why this works is because x = 0 is the starting x intercept, or the starting point which the dolphin jumps from. Also, its because of the hint given how the vertex is between each x intercept.

If the dolphin started from any other point on the x axis, then this trick of "double the result from part A" wouldn't apply.

Part C below shows that x = 0 and x = 10 are the two x intercepts. This helps confirm the proper range.

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

Answer: 10 feet

====================================

Part C

h(d) = y = height of dolphin

we want to find the two x values that make y = 0, which help us figure out when the dolphin jumps out of the water and when it lands back in the water

--------

Plug y = 0 into the equation y = -0.2x^2 + 2x and solve for x

y = -0.2x^2 + 2x

-0.2x^2 + 2x = y

-0.2x^2 + 2x = 0

x(-0.2x + 2) = 0 .... factor out x

x = 0 or -0.2x + 2 = 0 .... zero product property

x = 0 or -0.2x = -2

x = 0 or x = -2/(-0.2)

x = 0 or x = 10

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

Answer:

The two x intercepts are x = 0 and x = 10

This means the parabola crosses the x axis at the locations (0,0) and (10,0).

PLEASE HELP!!!!!!!!!!!!!

Answers

Answer:

24

Step-by-step explanation:

in this, the blank is 'y'. I filled the x with -8

)(−8)−(−8−40)=(2)(−8)−(y−8)

Step 1: Simplify both sides of the equation.

(10)(−8)−(−8−40)=(2)(−8)−(y−8)

(10)(−8)+−1(−8−40)=(2)(−8)+−1(y−8)(Distribute the Negative Sign)

(10)(−8)+(−1)(−8)+(−1)(−40)=(2)(−8)+−1y+(−1)(−8)

(10)(−8)+8+40=(2)(−8)+−y+8

−80+8+40=−16+−y+8

(−80+8+40)=(−y)+(−16+8)(Combine Like Terms)

−32=−y+−8

−32=−y−8

Step 2: Flip the equation.

−y−8=−32

Step 3: Add 8 to both sides.

−y−8+8=−32+8

−y=−24

Step 4: Divide both sides by -1.

−y

−1

=

−24

−1

y=24

Answer:

y=24

A triangular flowerbed is being planted inside a circular area of grass. What is the area of the triangular flowerbed? (Use 3.14 for π.)



1,350 ft 2
1,566 ft 2
1,450 ft 2
675 ft 2

Answers


Area for a triangle is (1/2)bh

Find the area by plugging in 27 for b and 50 for h

Answer:

675 ft 2

Step-by-step explanation:

just did it in a test

The quotient of a number and 4 is -7 write an equation and solve

Answers

Answer:

equation- 4÷x=-7

x= -4/7

Step-by-step explanation:

I think the answer is -4/7 i tried my best :)

so x=-4/7

Can you have a triangle with the sides of 3, 4, 7?

Answers

Answer:

Below.

Step-by-step explanation:

No - because the length of any one side must not be equal or greater than the sum of the other 2 sides.

Here 7 = 3 + 4 so they can't form a triangle.

Answer:

no

Step-by-step explanation:

as 3+4 = 7 and the sum of the first 2 sides is supposed to be greater than the third side and 7 is the sum of the first 2 side and the third side is also 7

Simplify 5n - 2n - 3 + n

Answers

Answer:

that's your answer...

4n-3 is your answer!

What’s the standard form of the line that passes through (7,-3) and has a y-intercept of 2?

Answers

Answer:

Step-by-step explanation:

(y-y)=m(x-x)

(y--3)=2(x-7)

y+3=2x-14

y+3+14=2x

First, let's solve in slope-intercept form since it's easier. After that, we can turn it into standard form.

Recall the format of slope-intercept form: y = mx + b

We know that the y-intercept is 2, so we can input it into our equation ('b' represents the y-intercept!)

y = mx + 2
In order to solve for the slope, input the coordinates (7, -3)

-3 = 7m + 2
-5 = 7m
m = -5/7

y = -5x/7+ 2
In order to turn it into standard form, just make sure 'x' and 'y' are on the same side:

y + 5x/7 = 2 is the standard form of the line

-T.B.

To start her collection of comic books, Joylin’s uncle gives her a box of comic books and several monthly subscriptions to comic books. the number of comic books in her collection, y, after x months is modeled by the equation shown: y=40+6x. What does the number 40 represent?

Answers

40 would represent the starting number of comics.
Final answer:

In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.

Explanation:

In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.

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y9/8 divided by y5/8
write the expression in simplified radical form

Answers

Answer : A

Workings in the picture below :)

80% of_
games is 32 games.

Answers

Answer:

40 games

Step-by-step explanation:

Here we need to find a number, x, such as 32 is the 80% of x. In this case x is our 100%.

So, if our x number is the correct it must be that the following ratios are equivalent:

100%/80% = x/32 if 32 is the 80% of x

Lets drop the % sign for simplicity:

100/80 = x/32

Now, multiply both sides by 32 to eliminate the 32 on the right side:

(100/80)*32 = (x/32)*32

100*32/80 = x

3200/80 =x

320/8 = x

40 = x

So 32 is the 80% of 40.

32 games is the 80% of 40 games.

Answer: 40

Step-by-step explanation:

4x+10=x+5+50 What is the answer to this equation

Answers

Answer:

x=15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

4x+10=x+5+50

4x+10=x+55

4x-x+10=55

3x+10=55

3x=55-10

3x=45

x=45/3

x=15

write a short paragraph about things you should and shouldnot do to stay healthy( at least 50 words)​

Answers

Answer:

what' you should do to stay healthy is eat vegetables and fruits grains and anything else you know is good for you and you should also drink water everyday. what you shouldn't do to stay healthy is basically eat junk food and drink soda also eat lots of candy but eating healthy is much better

Answer:

Staying healthy physically can help you stay healthy emotionally too. If you're eating the right food and keeping fit, your body will be strong and help you to cope with stress and also fight illness. Eating well and exercising often when you're a teenager will also help you stay in good health later in life.

Step-by-step explanation:

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In 2000, when then-President Clinton along with Francis Collins of the Human Genome Project and Craig Venter of Celera announced the completion of a "draft" of the human genome, the event did not, in fact, represent true completion because most of what types of sequences were not included? Create a system of equation. Josh works for a federal governmental agency that requires drug testing as a condition of employment. He wants to challenge the constitutionality of the testing in court. For his case, Josh will attempt to rely on The master budget of Vaughn Manufacturing shows that the planned activity level for next year is expected to be 50000 machine hours. At this level of activity, the following manufacturing overhead costs are expected: Indirect labor $810000 Machine supplies 130000 Indirect materials 300000 Depreciation on factory building 140000 Total manufacturing overhead $1380000 A flexible budget for a level of activity of 60000 machine hours would show total manufacturing overhead costs of Entry field with correct answer $1628000. $1656000. $1516000. $1380000. The new merry go round can hold a total weight of 500 pounds. Susie weighs 45.67 pounds, Johnny weighs 76.9 pounds, Grace weighs 66.72 pounds, and Max weighs 89.3 pounds. Can the merry go round hold all of the children? Show and explain your answer. plant a is 4.7 centimeters tall and growing at the rate of 3.5 centimeters a month. plant b is 5.2 centimeters tall and growing at the rate of 2.5 centimeters a month. When will plant a axceed the height of plant b? what will the hights of the plants be after 3 months The Ksp of AgCl is 1.8x10^-10 and the Ksp of AgI is 8.3x10^-17. A solution is .100M in I- and Cl-. When a silver nitrate solution is slowly added to this mixture, what is the molarity of iodide ions when AgCl just starts to precipitate? A.) 1.0x10^-5M B.) 9.1x10^-9M C.) 8.3x10^-7M D.) 4.6x10^-8M Why does the self-correcting mechanism stop working when the policy rate hits the zero lower bound? A. The self-correcting mechanism stops working because the rising inflation produced by a negative output gap produces lower rather than higher real interest rates when the policy rate hits the zero lower bound, and this decrease depresses planned spending and further widens the output gap. B. The self-correcting mechanism stops working because the falling inflation produced by a negative output gap produces lower rather than higher real interest rates when the policy rate hits the zero lower bound, and this decrease depresses saving and investment and therefore further widens the output gap. C. The self-correcting mechanism stops working because the falling inflation produced by a negative output gap produces higher rather than lower real interest rates when the policy rate hits the zero lower bound, and this increase depresses planned spending and further widens the output gap. D. The self-correcting mechanism stops working because the rising inflation produced by a positive output gap produces lower rather than higher real interest rates when the policy rate hits the zero lower bound, and this decrease enhances planned spending and further widens the output gap. U3L10 Assignment Unit 3 > Lesson 101. Choose whether the following sentence is an independent clause, subordinaor neither: Jane ran to the store.subordinate clauseindependent clausebothneither