Back to my question. I have this problem that I cant solve.
-21-9k=-8(6k+3)
I need to get the answer k= -0.08
Can someone please help me and give me the explanation?

Answers

Answer 1

Here's how to solve your equation step by step:

−21−9k=−8(6k+3)

Step 1: Simplify both sides of the equation.

−21−9k=−8(6k+3)

−21+−9k=(−8)(6k)+(−8)(3) (Distribute)

−21+−9k=−48k+−24

−9k−21=−48k−24

Step 2: Add 48k to both sides.

−9k−21+48k=−48k−24+48k

39k−21=−24

Step 3: Add 21 to both sides.

39k−21+21=−24+21

39k=−3

Step 4: Divide both sides by 39.

39k/39 = -3/39

Here's the answer: -1/13 or -0.08.


Related Questions

Vince has 19 cupcakes. He divides them evenly among 7 friends. How many cupcakes does
each friend get?
Answer:
Explain:
Pls help my teacher said to also turn it into a fraction something like that

Answers

Answer:

1

Step-by-step explanation:

You find a number that divides 7 to equal 19.

[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]

in your own words explain the steps you would need to take to find slope from the data table .​

Answers

Answer:

look at explanation, i got it on ed.

Step-by-step explanation:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Answer:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Step-by-step explanation:

Please Help!!
Help!!!

Answers

Answer:

it is option D because it make supplementry or 180°

7 is what percent of 68

Answers

Answer:

10.30%

Step-by-step explanation:

7/68

x 100% = 10.2941176471%

Solve for X, round to the nearest tenth of a degree is necessary

Answers

Answer:

x= 35.2344 °

Step-by-step explanation:

Sides:

a = 2.6 m

b = 2.12368 m

c = 1.5 m

Angles:

A = 90 °

B = 54.7656 °

C = 35.2344 °

Other:

P = 6.22368 m

s = 3.11184 m

K = 1.59276 m2

r = 0.511838 m

R = 1.3 m

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

AAS is Angle, Angle, Side

Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.

Use the Sum of Angles Rule to find the other angle, then

use The Law of Sines to solve for each of the other two sides.

Antwaun wants to purchase new photography equipment. He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekend . If the original price of the lens he wanted is $599, what is the new price of the lens once it goes on sale ?

Answers

The new price of the lens once it goes on sale is $389.35.

Given that,

He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekend

calculation:

[tex]= \$599 - (35\% of \$599)\\\\[/tex]

= $389.35

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

growth: Word problems V84
Kenny lives in Greenpoint, where the cost of living increases by 8% every year. If Kenny
spends $50,700 this year, how much can he expect to spend 11 years from now to maintain
the same standard of living?
If necessary, round your answer to the nearest cent.

Answers

Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 50700(1 + 0.08)^t[/tex]

[tex]A(t) = 50700(1.08)^t[/tex]

After 11 years, the cost will be given by:

[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= "-10x" – 4.
Search instead for Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.​

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

y = 6 - 2x = - 2x + 6 ← is in slope- intercept form

with slope m = - 2

y = - 10x - 4 ← is in slope- intercept form

eith y- intercept c = - 4

then

y = - 2x - 4 ← is the equation of the required line

Step-by-step explanation:

slope of y=6-2x=> -2 as it is in the form (y=mx+c )

y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)

so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):

that is y=mx+c

=> y= -2x-4=> 2x+y+4=0 is equation of required line

Which pair of numbers have a greatest common factor of 2? Select each correct answer
10 and 2
6 and 12
2 and 24
4 and 6​

Answers

Answer:

10 and 2

2 and 24

4 and 6

Step-by-step explanation:

6 and 12 gcf is 6

Answer:

10 and 2, 2 and 24, 4 and 6

Step-by-step explanation:

do the prime factor tree method

10 and 2:

10: 2 x 5

2: 2

gcf/hcf : 2

2 and 24 :

2: 2

24: 2 x 2 x2 x 3

gcf/hcf : 2

4 and 6 :

4: 2 x 2

6: 2x 3

gcf/hcf : 2

why 6 and 12 don't work

6: 2 x 3

12: 2 x 2 x 3

they have 3 in common as well, meaning the hcf/gcf would be 2 x 3 which is 6, not 2

The functions r and s are defined as follows. r(x)=-x-5 s(x)= -2x-5 . Find the value of s(r(4)).

Answers

Answer:

s(r(4)) = 13

Step-by-step explanation:

Substitute and calculate:


s(r(4)) = 13

Help me please........

Answers

Answer

4

~~~~~~~~~~~~~~~~~~~~~~~

Yeah it's 4 again double check!

Solve the system:
4x – 3y = -21
X=-y-14

Answers

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

Answer:X=−4x/3−21

                 y=4x/3+7

Step-by-step explanation:

Calculate the distance point A (−3, 6, 2) and point B (4, −5, 6) are from the origin. Round to the nearest tenth.

Approximately how much farther from the origin is point B than point A?

1.8 units
2.4 units
3.2 units
4.0 units

Answers

Answer: 1.8 units

Step-by-step explanation:

A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume

Answers

Check the picture below.

I don’t have time to figure these one out for my own please help

Answers

Answer:

X=6

Step-by-step explanation:

5x+1=31

-1 from each side

5x=30

divide both sides by 5

x=6

m ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.

Which means :-

[tex]5x + 1 = 31[/tex]

[tex]5x = 31 - 1[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5} [/tex]

[tex]\color{red}x = 6[/tex]

Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .

what do you mean by the term standard unit ?​

Answers

A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.

Answer:

When numbers become very small or large standard form (or standard index form) is used to make them manageable. In standard form or unit a number is written as:

[a number between 1 and 10] × [ an integer power of 10]

A recipe calls for 375 g of flour for every 50 g of sugar. How much flour would you need if you used 125 g of sugar?

Answers

Answer:

Let's order the units because it can help us better;

Flour          375g            x

_______     _______ = ________ , next we solve for x;

Sugar         125g          50g

375/125 = x/50

x = 150

Write a formula for each situation.
There are sixty minutes, m, in an hour, h.

Answers

Hey there!

Equation: 60m = h

Goodluck and enjoy ^_^

Answer:

What is the rest of the question? There isn't enough information.

Step-by-step explanation:

What is the solution?

Answers

Answer:

MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER

Step-by-step explanation:

on friday, a local hamburger shop sold a combined total of 540 hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on friday

please help

Answers

Answer:

so you would do 540 times 3and that would equal 1620

help me plz idk why im very bad at mmath

Answers

Answer:

16.8

Step-by-step explanation:

Hope this helps

HELP!!
The points M(-2, –7), N(-2,1), and O(–7, -5) form a triangle. find the
perimeter of the triangle.

Answers

Answer:

Step-by-step explanation:

-3x + 6 = 2x - 24 how do i do this its not high school btw its 8th grade

Answers

Answer:

x = 6

Step-by-step explanation:

Ok first you need to get to combine like terms, so first subtract six from the left so it cancels out the left side and what you do to one side you have to do it to the other so after you do that you get

-3x = 2x -30

then you subtract 2x from the right side and 2x on the left side getting

-5x = -30

your  goal is to get  by itself so what you can do is divide -5 on both sides getting

x = 6

if you are wondering why its a positive and not a negative its because a negative divided or multiply by a negative makes a positive.

Answer:

x=6

Step-by-step explanation:

-3x+6=2x-24

6=5x-24

30=5x divide both sides by 5

x=6

The circumference of a circle is 10 pie cm.what is the radius of the circle

Answers

Answer:

5

Step-by-step explanation:

Answer:

The radius of the circle is 5

Step-by-step explanation:

Which of the following graphs represent a function?

Answers

Answer:

do u have a picture of it ?

Answer:

No graphs are visible to choose from...

Step-by-step explanation:

what is the point slope form of (-7,5) , (1,-1)​

Answers

Answer:

y-5=-2/3(x-(-7))

Step-by-step explanation:

I just learned this recently as well so bare with me.

So the point slope form is y-y1=m(x-x1)

So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4

So now, we just have to plug in the numbers.

So y-5=-2/3(x-(-7)).

I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.

I hope this helped.

There are 8 boys in a class of 20 students. What is the ratio of boys to girls?

Answers

Answer:

So the way to approach these is to look at the 2:5 as "parts". In total there are 7 parts (2+5). Because there are 7 parts and 140 students, you can divide 140 by 7, which means for each "part" there are 20 students. So then you can multiply, 2 parts male (40), 5 parts female (100). So there are 40 boys in that class.

Answer:

8:12

2/3

Step-by-step explanation:

one leg of a right triangle is twice as long as the other leg, If the hypotenuse side is 5cm long then what is the measure of the shorter leg (you can leave your answer as a decimal or in radical form)

Answers

The shorter leg is [tex]\sqrt{5} \ cm[/tex]

Step-by-step explanation:

Let the base be x and the perpendicular be y.

It is given that, one leg of a right triangle is twice as long as the other leg,

y = 2x ...(1)

Hypotenuse, H = 5 cm

We can use Pythagoras theorem as follows :

[tex]H^2=B^2+P^2[/tex]

Putting all the values,

[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]

So, the base is [tex]\sqrt5\ cm[/tex]. No, to find the value of y put x in equation (1). So,

[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]

Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.

Answers

Answer:

C. Ankur found that the quotient of a positive number and a negative number is positive

Step-by-step explanation:

Given the expression that is solved by Ankur as shown;

[tex]15 \frac{1}{3} \div(-4\frac{2}{3} )[/tex]

We were told that Ankur got 3. Let us evaluate to see ankurs error.

change to improper fraction first

[tex]= 15 \frac{1}{3} \div(-4\frac{2}{3} )\\= \frac{46}{3} \div \frac{-14}{3} \\= \frac{46}{3} \times \frac{-3}{14} \\= \frac{-46}{14}\\ = -3.28[/tex]

Note that from the calculation the quotient of a positive number to a negative number returns a negative number. Based on Ankur's answer, he got a postive value which is one of his errors. He found out that the quotient of a positive number and a negative number is positive which is wrong.

Hence the correct option is C

Answer:

Step-by-stepAnkur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor explanation:

so the answer is b

What is the surface area, in square feet, of the triangular prism?

Answers

Answer:

C. 108 square inches

Step-by-step explanation:

How do we find the surface area?

  ❖ To find the surface area, we have to calculate the area of each

       shape on a 3D figure.

Solving for Area of Triangles

[tex]\frac{3*4}{2}[/tex] [tex]12/2 = 6[/tex] [tex]6*2 = 12[/tex] Area of triangles are 12 square feet.

Solving for Area of Rectangles

[tex](8*3)+(8*4)+(8*5)[/tex]  [tex]24+32+40[/tex] [tex]96[/tex] Area of rectangles are 96 square feet.

Solving Area of Rectangle and Triangle

96 + 12108 square inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

108 ft²

Step-by-step explanation:

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Surface area = rectange + rectangle + rectangle + 2 congruent triangles

                     = (3 × 8) + (4 × 8) + (5 × 8) + 2(1/2 ×3 × 4)

                     = 24 + 32 + 40 + 12

                     = 108 ft²

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