Solve 3/5k-5=7/10k by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.

Answers

Answer 1

9514 1404 393

Answer:

  k = -50

Step-by-step explanation:

The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:

  6k -50 = 7k

Subtracting 6k from both sides of the equation leaves you with the solution:

  -50 = k


Related Questions

the diameter of a cart wheel is 26 inches. how far will it go in one rotation?​

Answers

Answer:

the correct answer is 81.71 inch

Step-by-step explanation:

please mark me as the brainliest answer

Answer:

81.71 inch

Step-by-step explanation:

the diameter of the wheel is 26 inch ,so in one rotation there wheel can travel 81.71 inches.

help me out!!
what is the area of the figure to the nearest hundredth

Answers

It’s 19.72 square feet. I showed my work below :) hope this helped!

Caroline , Colin and Sarah Share some money , Caroline gets 1/10 of the money. Colin and Sarah Share the rest in the ratio 2:7 what proportion does Colin gets?

Answers

Answer:

1/5

Step-by-step explanation:

10/10-1/10=9/10=Colin and Sarah share

2x+7x=9x=Colin and Sarah share

9x=9/10

x=1/10

Colin=2x=2/10=1/5

The ratio shows how many times one value is contained in another value.

The proportion that Caroline gets is 1/10.

The proportion that Colin gets is 2/10.

The proportion that Sarah gets is 7/10.

So,

The proportion that Colin gets is 7/10 of the money.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Let the total amount of money be 1.

Caroline:

Share = 1/10 of the money

Remaining money:

= 1 - 1/10

= 9/10

Colin and Sarah:

Share = 2:7

Colin share = 2/9 x 9/10 = 2/10

Sarah share = 7/9 x 9/10 = 7/10

The proportion that Caroline gets is 1/10.

The proportion that Colin gets is 2/10.

The proportion that Sarah gets is 7/10.

Thus,

The proportion that Colin gets is 7/10 of the money.

Learn more about ratios here:

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is it grabbed or grab in this sentence

Answers

Answer:

grabbed

Step-by-step explanation:

just lose the is

Johanna rode
8 miles in
40 minutes on her mountain bike.

Answers

Answer:

Johnson rode her bike 5 miles

Step-by-step explanation:

please answer this math question

Answers

Like the person above me I agree that the answer is c

Dimensions of a building are 654 feet by 264 feet. If 1 inch represents 64 feet, what are the dimensions of the building on the drawing?

Answers

Answer:

10.2 inches by 4.125 inches

Step-by-step explanation:

PLS GIVE BRAINLIEST

factorise
x² - 7x +10

Answers

(x-2) (x-5)
Lmk if you need step by step

it takes 8 minutes for peter to make 2 laps around the go kart track. how many laps can sue complete in 24 minutes

Answers

This is your perfect answer

six laps is the correct answer!

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.

Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?

sales

Answers

Answer:

12 sales

Step-by-step explanation:

a and b

65 per sale maximum commision 1300 so no base

40 per sale base 300

Set up equation:

[tex]65x=40x+300[/tex]

Solve:

[tex]25x=300[/tex]

[tex]x=12[/tex]

So they must have had 12 sales.

Hope this helps :D

Find the number,if 1/5 of it is 15

Answers

Answer:

The number is 75

Step-by-step explanation:

Let x be the unknown number

of means multiply and is means =

1/5 x = 15

Multiply each side by 5

5 * 1/5 x = 5*15

x = 75

Answer:

75

Step-by-step explanation:

Please help! Due tonight!

Answers

a^2 + b^2 = c^2 (pythagoras theorem)
A = 5, b = 8
(5)^2 + (8)^2 = c^2
25 + 64 = 89
c^2 = 89
The answer would be D.

Answer:

D) x= square root of 89

Step-by-step explanation:

To find the missing side, use the equation a^2+b^2=c^2. You would plug 5 in for a to get 25 and 8 in for b to get 64. You would add those to get that 89 is equal to c^2 so you would get c by itself and and find that the answer is D. :)

Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y

Answers

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

[tex](y-k)=n(x-h)^2[/tex]

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]

[tex]p(y-k)=(x-h)^2[/tex]

where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, [tex]|-0.5|=0.5[/tex]

For option B, [tex]|5|=5[/tex]

For option C, [tex]|8|=8[/tex]

For option D, [tex]|-10|=10[/tex]

Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.

Hence, the correct option is A.

(2, 1), (0, -7)
Write an equation of the line that passes through the given points

Answers

Answer:

y=4x-7

Step-by-step explanation:

We know that the y intercept is -7 so we can have y=mx-7

And we can get the slope by using the slope formula (y2-y1)/(x2-x1)=m

(2,1) (0,-7)

x1 y1 x2 y2

(-7-1)/(0-2)

-8/-2 = 4

m=4

So just plug it into the equation to get:

y=4x-7

Answer:

y = 4x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the t- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)

m = [tex]\frac{-7-1}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

The line crosses the y- axis at (0, - 7) ⇒ c = - 7

y = 4x - 7 ← equation of line


a) Write 600 as the product of prime factors.
Give your answer in index form.

Answers

Answer:

The prime factorization of 600 is 2, 2, 2, 3, 5, and 5

Answer:

600 = 2 × 2 × 2 × 2 × 3 × 3 × 5

Step-by-step explanation:

2 |600

2 |300

2 |150

2 |75

3 |15

3 |5

5 |1

Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63​

Answers

Answer:

Espero y esto te ayude :) si me falto algo lo siento.

Step-by-step explanation:

Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:

100% 90%

-------------------- → ---------------------------

Precio Original Precio con Descuento?

SARAPES

- Ana: descuento (14), precio rebajado 126

Precio rebajado = 140.90 / 100 = 126

Descuento: 140 - 126 = 14

- Javier: descuento (8), precio rebajado 72

Precio rebajado = 80.90 / 100 = 72

Descuento: 80 - 72 = 8

ARETES

- Luis: descuento (5), precio rebajado 72

Precio rebajado = 50.90 / 100 = 45

Descuento: 50 - 45 = 5

- Ana: Precio original (60) , descuento (6), precio rebajado 54

Precio original: X.0,10 = 6

X = 60

Precio rebajado: 60 - 6 = 54

- Javier: Precio original (40) , descuento (4), precio rebajado 36

Precio original: X.0,10 = 4

X = 40

Precio rebajado: 40 - 4 = 36

The measures of the angles of a triangle solve for X

Answers

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

what is 9 as a decimal?

Answers

Answer:

0.09 is 9 as a decimal

9 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

n (blank exponent) = 1/64 when n = 1/4

Answers

Answer:

The blank exponent is 3

Step-by-step explanation:

It is given that n^x=1/64 where n=1/4

1/4^x=1/64

1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.

please help me with this! this was due yesterday and i need to get it done but im stuck on this question

Answers

Answer:

60* and 30*

Step-by-step explanation:

If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.

Answer:

m<qrt and m<trv because complementary angles add up to 90 degrees :)

find the value of :x^2+2xy+y^2-3x-3y-1
have: x^2-y=y^2-x (x[tex]\neq[/tex]y)

Answers

Answer: The answer is x^2+2xy+2y^2–3x–3y–1

Step-by-step explanation: Move 2 to the left of y^2.

i need some help please

Answers

Answer:

83100000+1010=831,000,1010

i think option 2

Step-by-step explanation:

72.50$ markup 30% plz

Answers

Answer:

$94.25

Step-by-step explanation:

You would also have a $21.75 profit

Answer:

$94.25

Step-by-step explanation:

72.5*0.3=21.75

21.75+72.5=94.25

» Avery states that the graph of g is the same as the graph of f with every
point shifted vertically. Cindy states that the graph of g is the same as the
graph of f with every point shifted horizontally.
f(x)=2x+1
g(x)=2x+3
Give an argument to support Avery’s answer
Give an argument to support Cindy’s statement

Answers

Answer:

Avery is right, because [tex]g(x) = f(x)+2[/tex].

Cindy is right, because [tex]g(x) = f(x+1)[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:

[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]

[tex]k = g(x)-f(x)[/tex]

If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:

[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]

[tex]k = 2[/tex]

Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:

[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]

If we know that  [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:

[tex]g(x) = 2\cdot x + 3[/tex]

[tex]g(x) = 2\cdot x + 2 + 1[/tex]

[tex]g(x) = 2\cdot (x+1)+1[/tex]

[tex]g(x) = f(x+1)[/tex]

Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].

Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric and skewed.
OB. The data distribution is skewed to the right.
OC. The data distribution is skewed to the left.
OD. The data distribution is symmetric.

Answers

Answer:

Angela asked each student in her class about the height of the fence around their house. She made the histogram below to

represent the heights of each student's fence.

Height of Fence

16

14

12

10

Students

8

6

4

2

8

10

12

6

Feet

Which statement is true?

OA. The data distribution is both symmetric

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3

Answers

Answer:

[tex]y > \frac{2}{15} [/tex]

2. The amount of your bill is $3.10. You give the cashier $5.00. Complete
the table to show how the cashier might return the change.
+
Coins Given to
Convenient Amount
Customer
Reached
The bill is $3.10.
a1 nickel
dimes
$5.00
Pls help

Answers

Step-by-step explanation:

I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out

Write the following expression in words x+7

Answers

Answer:

The sum of 7 and x.

Step-by-step explanation:

PLS GIVE BRAINLIEST

somebody please help i made this worth 50 points i need help on a transversals test

Answers

you would set the equations equal to each other since they're corresponding angles. x=35

Answer:

I do not know what this is

Step-by-step explanation:

4.62 x 108 tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.

Work out the average cost per tin of beans.

Answers

Step-by-step explanation:

If that says 4.62x10⁸, then you would do

300,300,000/4.62x10⁸

where you would get 0.65

so the average cost per tin of beans is 65p

The average cost of each tin of beans = 0.602 million per tin.

Calculation of average cost

The total tin of beans sold last year = 4.62 x 108+

= 498.96

The total cost of the beans sold last year = £300.3 million

If 498.96 tins = £300.3 million

1 tin of beans = £X

Make £X the subject of formula,

£X = £300.3 million/498.96

£x = 0.602 million

Therefore, the average cost of each tin of beans = 0.602 million per tin.

Learn more about cost here:

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