-4=-2/3u solve for U

Answers

Answer 1

Answer:

u = 6

Step-by-step explanation:

[tex]-\dfrac{2}{3}u=-4\qquad\text{change the signs}\\\\\dfrac{2}{3}u=4\qquad\text{multiply both sides by}\ \dfrac{3}{2}\\\\\dfrac{3\!\!\!\!\diagup^1}{2\!\!\!\!\diagup_1}\cdot\dfrac{2\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}u=4\!\!\!\!\diagup^2\cdot\dfrac{3}{2\!\!\!\!\diagup_1}\\\\u=(2)(3)\\\\u=6[/tex]

Related Questions

which value of x is in the solution set of the inequality -x+8>6

Answers

Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Step-by-step explanation:

We need to find the value of x from the inequality [tex]-x+8>6[/tex]

Solving:

[tex]-x+8>6[/tex]

Subtract 8 on both sides:

[tex]-x+8-8>6-8[/tex]

[tex]-x>-2[/tex]

Divide both sides by (-1). For doing this the sign of inequality is reversed i.e, > is changed into <

[tex]x<2[/tex]

So, Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Keywords: Solving inequalities

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solve for x,
-3x = -15

Answers

Answer:

x=5

Step-by-step explanation:

so to isolate the x you dived the -3 to both sides

so it will now be

x=5 because a negative times or divided by a negative equals a positive so to prove that x=5

-3(5)=-15

which is true

x = 12

-3x = -15
+3 +3
—————
x = 12

negative and a positive = subtract

When the signs are the same add

A washer and dryer cost $600 combined. The cost of the washer is three times the cost of the dryer

Answers

First, assign two variables to the prices of the two appliances.
'w' will represent the price of a washer, and 'd' will represent the price of a dryer.

Because "the washer is three times the cost of the dryer," we can form this equation:
w = 3d
On top of that, we know the washer and dryer add up to 600, making another equation.
w + d = 600

Because we know the value of 'w,' we can input that into the equation 'w + d = 600'
(3d) + d = 600
Simplify:
4d = 600
d = 150

Since the washer is three times the price of the dryer:
w = 3(150) = 450

The dryer costs $150, and the washer costs $450.
-T.B.

A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .
What is the displacement of the spring ?
A) 0.00392m
B)0.024m
C)0.1176 m
D) 0.2352m

Answers

Answer:0.2352[tex]m[/tex]

Step-by-step explanation:

Let the mass of the person be [tex]m[/tex].

Let the spring constant be [tex]k[/tex].

Let the displacement in spring be [tex]x[/tex]

Let the acceleration due to gravity be [tex]g[/tex]

As it is given that the person just stands,the forces are balanced.

So,[tex]mg=kx[/tex]

Given,

[tex]m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}[/tex]

[tex]60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m[/tex]

Determine the values of k and p so that the solution is “All Reals” when solving for y:
81y - 17 = k2y + 6+p

Answers

Answer:

[tex]k=\pm9,p=-23[/tex]

Step-by-step explanation:

Given:

The equation is:

[tex]81y - 17 = k^2y + 6+p[/tex]

Here, the left hand side of the equation will be equal to that of the right hand side only if the coefficients of 'y' are same on both sides and the constant terms are also equal to each other.

Therefore,

[tex]81=k^2\ and\ -17=6+p[/tex]

Solving each for 'k' and 'p'.

[tex]k^2=81\\\textrm{Taking square root on both the sides}\\\sqrt{k^2}=\pm\sqrt{81}\\k=\pm9.......(\sqrt{81}=9)[/tex]

[tex]-17=6+p\\\textrm{Adding -6 on both the sides}\\-17-6=p+6-6\\p=-23[/tex]

Therefore, the values of 'k' are -9 and 9. Value of 'p' is -23.

when round off to nearest thousand, the number 42,099

Answers

Answer:42000

Step-by-step explanation:

There is no number higher than 5 after the thousands so you would keep it the same

42,000 would be the correct answer for this question. Since the 2 isn’t greater than 5 everything behind it changes to 0

Vi walks five days each week.She walks the same distance on the first two days.On days three and four,Vi walks twice as long as on the first two days.On day five she walks half as far as on day 1.If Vi walks 13 miles each week how does she walk each day

Answers

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Step-by-step explanation:

Let,

x be the distance walked by Vi.

Therefore,

On first day = x

Second day = x

On days three and four,Vi walks twice as long as on the first two days

Third and fourth day = 2(x+x) = 2(2x) = 4x

On fifth day = half of first day = [tex]\frac{1}{2}x[/tex] = 0.5x

Total distance = 13 miles

Therefore,

[tex]x+x+4x+0.5x =13\\6.5x=13[/tex]

Dividing both sides by 6.5

[tex]\frac{6.5x}{6.5}=\frac{13}{6.5}\\x=2[/tex]

Distance on first day = x = 2 miles

second day = x = 2 miles

third and fourth day = 4x = 4(2) = 8 miles

fifth day = 0.5x = 0.5(2) = 1 miles

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Keywords: distance, addition

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Josh deposits $4000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years?
i don't know how to solve this question. Please show work!!!

Answers

Answer:4000 deposit times 0.5 interest is 2,000. 2,000 x4 = 8,000 for 4 years.

Step-by-step explanation:

A bicycle rental shop rents bicycles for $8 per hour. The total cost c
(in dollars) for renting a bicycle h hours is given by the function c = 8h. Once you get
to the rental shop, you figure you can rent a bicycle for at most 5 hours. What is the
most that you will pay for renting the bicycle?

Answers

the longest you could rent the bike for is 5 hours, so if we are thinking of the most we could spend we sub in 5 as h and the function becomes c=8(5). we can multiply out to find c is equal to 40, so the answer is $40 :)

Final answer:

The most you will pay for renting the bicycle for at most 5 hours is $40.

Explanation:

The total cost of renting a bicycle for h hours is given by the function c = 8h, where c represents the total cost and h represents the number of hours rented. In this case, you figure you can rent a bicycle for at most 5 hours. To find the most that you will pay, substitute h = 5 into the function c = 8h:

c = 8(5) = 40

Therefore, the most you will pay for renting the bicycle for at most 5 hours is $40.

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Use the chart by multiply the binomial by the trinomial. (2y+3)(3y2+4y+5)

Answers

Answer:

6y^3+17y^2+22y+15

Step-by-step explanation:

(2y+3)(3y^2+4y+5)

6y^3+8y^2+10y+9y^2+12y+15

6y^3+17y^2+22y+15

Answer:

B. 6y^3+17y^2+22y+15

Step-by-step explanation:

3 11/16 into a decimal

Answers

Answer:

3.6875

Step-by-step explanation:

Answer:

3.6875

Step-by-step explanation:

First, let's leave 3 alone since its a whole number. So now we're dividing the actual fraction. Remember that the top dog goes under, which means that the place where the numerator goes is where the dividend should be, and the denominator is where the divisor should be. Add a decimal point and then after that a few zeros to the 11. Divide like a decimal. You should get 0.6875. Now take that 3 that we left alone before and add it, so you should get 3.6875.

Two parallel lines are intersected by another line, as shown below.

What is the measure of ∠1?

A
61°

B
74°

C
81°

D
119°

Answers

The answer is // A - 61*

The measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

From the given figure we have two parallel lines and a transversal which intersects them.

The 119 degree angle and the angle above the angle 1 are corresponding angles, so they are equal.

And the angle above angle numbered 1 and the angle numbered 1 are straight line angles, so the sum of them is 180 degrees.

119 + angle 1 = 180

angle 1 = 180 - 119

angle 1 = 61

Hence the measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

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A 50% increase followed by a 33.33% decrease

Answers

Answer:

Greater than the original value because it increases is more than the decrease

Step-by-step explanation:

Answer:

Overall, a 200% increase.

Step-by-step explanation:

Quantity after a 50% increase would be 1.50x, where x is the starting value.

if a 33.33% increase were to follow, then the final quantity would be

1.3333(1.50x), or just barely under 2x (representing an increase of 200% in x).

1) There are 16 rows of chairs in the auditorium. Each row has the same
number of chairs. There are 512 chairs in all. How many chairs in each row?

Answers

Answer:

32 chairs in each row

The drawing will help.

Final answer:

To find out how many chairs are in each row, divide the total number of chairs by the number of rows. In this case, there are 16 rows and 512 chairs in total, so there are 32 chairs in each row.

Explanation:

To find out how many chairs are in each row, you need to divide the total number of chairs by the number of rows. In this case, there are 16 rows and 512 chairs in total. So, you can divide 512 by 16 to find out how many chairs are in each row. The result is 32. Therefore, there are 32 chairs in each row of the auditorium.

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The area of a rectangular tennis court is 140 square meters. It’s length is 6 meters less than twice it’s width. Find the dimensions of the tennis court

Answers

let the width be : x
length : (2x - 6)

(2x - 6) (x) = 2x square - 6x

2x square - 6x = 140
2x square - 6x - 140 = 0

if you use the cross method or calculator you’ll get :

( x - 10 ) ( x + 7) = 0

x = 10 or x = -7 ( reject because negative )
so we use x = 10.

width = 10
length = 2(10) - 6 = 14

The dimensions of the tennis court are:

Length = 14 m

Length = 14 mWidth = 10 m

Let the width be y.

From the question given above,

The length is 6 meters less than twice it’s width. This can be obtained written as:

Length = 2y – 6

Area = 140 m²

Dimension =?

Next, we shall determine the width (i.e y)

Dimension = Area = Length × width

140 = (2y – 6)y

140 = 2y² – 6y

Rearrange

2y² – 6y – 140 = 0

Divide through by 2

y² – 3y – 70 = 0

Multiply the 1st term (i.e y²) and the last term (i.e –70) together. The result is –70y². Find two factors of –70y² such that their sum will result to the 2nd term (i.e –3y). The factors are –10y and 7y.Substitute –10y and 7y in place of –3 in the equation above.

y² – 3y – 70 = 0

y² – 10y + 7y – 70 = 0

Factorize

y(y – 10) + 7(y – 10) = 0

(y – 10)(y + 7) = 0

y – 10 = 0 or y + 7 = 0

y = 10 or –7

Since measurement can not be negative,

Width = y = 10 m

Finally, we shall determine the length.

Length = 2y – 6

y = 10

Length = 2(10) – 6 = 20 – 6

Length = 14 m

Therefore, the dimensions of the tennis court are

Length = 14 m

Length = 14 mWidth = 10 m

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Which of the following is a true statement?

A. |-15| = -15
B. |-12| > -15
C. |-12| > |15|
D. |15| > |-15|

Answers

Answer:

A. is False

B. is True

C. is False

D. is False

Step-by-step explanation:

Its absolute value so that means all numbers are now positive only with the ones that are with the double lines

I NEED HELP QUICKKKKK

Tina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

(−$15) − 12

(−$15) + 12

(−$15) ÷ 12

(−$15) ⋅ 12

Answers

Answer:

the last one

(-15)x12

hope this helps!

The sum of two consecutive negative integers whose product is 156. Find the integers

Answers

Answer:

The integers are -13 and -12

Step-by-step explanation:

Let

x ----> the first consecutive negative integer

x+1 ----> the second consecutive negative integer

we know that

[tex]x(x+1)=156[/tex]

Apply the distributive property

[tex]x^2+x=156\\x^2+x-156=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^2+x-156=0[/tex]

[tex]a=1\\b=1\\c=-156[/tex]

substitute in the formula

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4(1)(-156)}} {2(1)}[/tex]

[tex]x=\frac{-1(+/-)\sqrt{625}} {2}[/tex]

[tex]x=\frac{-1(+/-)25} {2}[/tex]

[tex]x_1=\frac{-1(+)25} {2}=12[/tex] ----> the solution cannot be a positive number

[tex]x_1=\frac{-1(-)25} {2}=-13[/tex]

therefore

[tex]x=-13\\x+1=-12[/tex]

What is 7 divided by 24.15

Answers

Answer:

20/69=0.2898550724637...

Step-by-step explanation:

a calculator

Final answer:

The result of 7 divided by 24.15 is approximately 0.29 when rounded to two decimal places.

Explanation:

The student has inquired about the result of the mathematical operation, division, specifically what is 7 divided by 24.15. To solve this question, you simply divide 7 by 24.15 on a calculator or by manual long division. The answer is approximately 0.29 when rounded to two decimal places. It should be noted that the exact quotient might vary depending on the number of decimal places you consider.

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Solve for x.
7x + 14 – 2x = −x + 12 – x − 19

A. x = −3
B. x = −1
C. x = 1
D. x = 3

Answers

Answer:

x=-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A.K.A – 3.

Step-by-step explanation:

What part of the circumference is an arc whose measure is 30°?
1/12
1/10
1/8
1/6

Answers

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

Which is the best first step and explanation for solving this system of equations?

Answers

Answer:

Subtract equation 1 from equation 2

Step-by-step explanation:

Solve the following system: