Solve the equation for the variable b: ab - 2c = 4

Answers

Answer 1

Answer:

b = (4+2c)/a

Step-by-step explanation:

ab - 2c = 4

Add 2c to each side

ab - 2c+2c = 4+2c

ab = 4+2c

Divide each side by a

ab/a = (4+2c)/a

b = (4+2c)/a

Answer 2

Answer:

b = 4 + 2c / a

Step-by-step explanation:

ab - 2c = 4

ab - 2c + 2c = 4 + 2c ..( add 2 both side)

ab = 4 + 2c

ab / a = 4 + 2 c / a ...( Divide each side by a)

b = 4 + 2c / a


Related Questions

(a) If (x - 2)(x-5) <0 and x e N then find x.​

Answers

Answer:

x = 3 or x = 4.

Step-by-step explanation:

We are given the following inequality:

[tex](x - 2)(x - 5) < 0[/tex]

It is a product, and a product is negative when one term is positive and the other is negative.

First case:

[tex]x - 2 > 0 \rightarrow x > 2[/tex]

And

[tex]x - 5 < 0 \rightarrow x < 5[/tex]

Thus, in the natural set: x = 3 and x = 4.

Second case:

[tex]x - 2 < 0 \rightarrow x < 2[/tex]

And

[tex]x - 5 > 0 \rightarrow x > 5[/tex]

Empty set.

Union of the cases:

Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.

Tessellations (image below)

Answers

9514 1404 393

Answer:

  regular octagon

Step-by-step explanation:

In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.

An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.

Octagons will not tessellate a plane.

Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1

Answers

Answer:

Table C is the answer

Step-by-step explanation:

PLEASE HELP !! WILL MARK BRAINLIEST !!!

Answers

Answer:

5

Step-by-step explanation:

We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent

Now isolate x:

7y=3y+20

7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)

7y-3y=20

4y=20 (simplify)

4y/4=20/4 (divide by 4, division property if equality)

y=5

Before simplifying, how many terms are there in the expression -2x+8 -6y + 8x + 11?
5
6
3
4


Answers

Answer:

There are 5 terms in the given expression.

HELP EDCITEE !! PLEASE !!!

Answers

Answer:

75.3074525 dgrees

Step-by-step explanation:

law of sines

29/sin(115 degrees) = 13/sin(B)

==> B = 0.418374736 rad

or 75.3074525 dgrees

The sum of two numbers is 67. The difference of the two numbers is 41. What are the two numbers.
Let 3 be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 67."
Write an equation that expresses the information in the sentence "The difference of the two numbers is 41."
Solve the system you have written above.
The larger number, 2 is
The smaller number, y is

Answers

Answer:

32

Step-by-step explanation:

COLOR THEME
Q ZOOM
7. The dimensions in the drawing below are given in units.
3V10
х
36
Р
118
S
R
90
18V5
What is the value of x?
45
CLEAR ALL

Answers

Given:

In triangle PQR, QS⊥PR, QS=x, PR=90 and RS=18.

To find:

The value of x.

Solution:

According to right triangle altitude theorem (geometric mean theorem), if an altitude of a right triangle divides the base into two segments then the square of altitude is equal to the product segments of the base.

Using right triangle altitude theorem, we get

[tex]\dfrac{QS}{PS}=\dfrac{RS}{QS}[/tex]

[tex]QS^2=RS\times PS[/tex]

[tex]x^2=18\times (90-18)[/tex]

[tex]x^2=18\times 72[/tex]

[tex]x^2=1296[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{1296}[/tex]

[tex]x=36[/tex]

Therefore, the correct option is B.

Use the formula for simple interest to help solve the following questions

Answers

Answer:

1. ₹ 382.50

2. 14,583.33

3. 6%

Step-by-step explanation:

Interest  = p × r × t

p = principal amount

r = rate of interest

t = time in years

(1) Interest = 10,200 × 0.025 × 1.5

                 = ₹ 382.50

(2) Principal = [tex]\frac{I}{(r\times t)}[/tex]

                   = [tex]\frac{1750}{(0.04 \times 3)}[/tex]

                   = [tex]\frac{1750}{0.12}[/tex]

                  = ₹ 14,583.33

(3)  [tex]Rate=\frac{(I \times 100)}{(p \times t)}[/tex]

              [tex]=\frac{(1186.5 \times 100)}{(5650 \times 3.5)}[/tex]

              [tex]=\frac{118650}{19775}[/tex]

              = 6%

In how many ways can 10 people be seated in 10badjacenr seats in a theater​

Answers

3,628,800 is the correct answer

Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)

Answers

Answer:

D is the answer to the question

A bicycle wheel has a diameter of 26 inches. What is the circumference?

Answers

Answer:

81.64 Inches

Step-by-step explanation:

Given :

Diameter of wheel =26 inches

Radius of wheel (r)=26/2=13 inches

Circumference (C) of wheel can be calculated as :

C=  2πr

C=6.28(13)

C=81.64 Inches

how are they the same

Answers

Answer:

Step-by-step explanation:

The ways that they are the same are.

The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5

Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.
O 81x² - 12
O x^2 + 25
O 4x^2 – 25
O 9x^2 – 16
O x^2-50
O x^2-81
O x^2-100

Answers

Answer:

81x² - 12, no as 12 is not a perfect square x^2 + 25, no as it is a sum of squares 4x^2 - 25, yes 9x^2 - 16, yes x^2 - 50, no as 50 is not a perfect square x^2 - 81, yes x^2 - 100, yes

PLEASE HELP MEEEEEEEEEEEEEE
triangle area ?​

Answers

25 root 3 divided by 2
Base is 5. Height is 5 root 3
Multiply then divide by 2

Answer:

A= 21.65063509

Step-by-step explanation:

triangle area is =base*hight/2

Because we have a right triangle we can apply the trigonometric functions

sin30 =base/hypothenuse = base/10

cos 30 = hight/hypothenuse =hight/10

sin30 = base /10  ; multiply both sides by 10

base = 10*sin30

cos 30 = hight /10 ; multiply both sides by 10

hight = 10 cos 30

A= 10*sin30*10*cos30/2 =

      100*sin 30*cos 30/2=

            50*sin30*cos30 = ; use calculator make sure is set up in degrees

A= 21.65063509

What is the x-intercept of the line y = 2x – 10?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(5,0)

»»————- ★ ————-««  

Here’s why:  

I have graphed the equation in a program. When graphed, the point crosses through the point (5,0). This means that (5,0) is the x-intercept. See the graph attached below.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Part A

Will be marked brainliest

Monique’s group will design a float for the I love my city parade. They plan to highlight the city’s train system by making a float of the MetroPass.

*SEE PICTURES FOR ACTUAL MEASURES*

The actual MetroPass is 2.1 inches wide and 3.4 inches long. Moniques group wants the MetroPass float to be 74.8 ft long. Her group needs to find the width of the MetroPass float.

How wide, in feet, will the MetroPass float be? Round you answer to the nearest tenth. Show your work.

*WILL BE MARKED BRAINLIEST*

Answers

Answer:

74.8 ft÷3.4 inches=264

2.1 in x 264=46.2 inches so the width should be 46.2 inches

Given the lease terms below, what is the total price of this car if you buy it
after leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
.
Down payment: $1500
.
Monthly payment: $279
Security deposit: $350
• Acquisition fee: $700
O A. $26,346
B. $29,246
C. $27,100
OD. $20,876

Answers

9514 1404 393

Answer:

  A.  $26,346

Step-by-step explanation:

The cost is the sum of all of the payments made:

  cost = down payment +24×monthly payment +deposit +acquisition fee +after-lease price

  cost = $1500 +24×279 +350 +700 +17100 = $26,346

The total price of the car if you buy it after leasing is $26,346.

What is the horizontal distance between (−5/3, -2) and (4, -2)?


ANSWER QUICK GIVING BRAIN LEST

Answers

Answer:

-2?

Step-by-step explanation:

use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.

find two numbers whose ratios is 3 to 5 and whose sum is 88​

Answers

Answer:

33 and 55

Step-by-step explanation:

[tex]\frac{x}{y}: \frac{3}{5}[/tex]

x + y = 88

3 + 5 = 8

[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]

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

[tex]y+\frac{3}{5}y=88[/tex]

[tex]\frac{8y}{5}=88[/tex]

[tex]5(\frac{8y}{5})=5(88)[/tex]

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

What is the volume of a cube whose sides are each 1 3/4 ft?

Answers

Answer:

5.4 (rounded)

Step-by-step explanation:

the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.

4 lemons required to make 6 cups of lemonade

Answers

Answer:

If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade

Step-by-step explanation:

If you simplify 4/6 it would be 2/3

Suppose we are interested in bidding on a piece of land and we know one other bidder isinterested. The seller announced that the highest bid in excess of $10,000 will be accepted.Assume that the competitor’s bid x is a random variable that is uniformly distributedbetween $10,000 and $15,000.a. Suppose you bid $12,000. What is the probability that your bid will be accepted?b. Suppose you bid $14,000. What is the probability that your bid will be accepted?c. What amount should you bid to maximize the probability that you get theproperty?d. Suppose you know someone who is willing to pay you $16,000 for the property. Wouldyou consider bidding less than the amount in part (c)? Why or why not?

Answers

Answer:

a. 0.4 = 40% probability that your bid will be accepted

b. 0.8 = 80% probability that your bid will be accepted.

c. $15,000.

d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 12000(X < 12). So

[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability that your bid will be accepted.

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 14000(X < 14). So

[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]

0.8 = 80% probability that your bid will be accepted.

c. What amount should you bid to maximize the probability that you get the property?

The upper bound of the uniform distribution, that is, $15,000.

d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

URGENT!! Bacteria tend to grow exponentially, by a common factor over equal
time intervals, because each cell divides into two daughter cells. A
particular bacteria culture begins with 1000 bacteria. The number of
bacteria doubles about every 12 h.

Answers

Answer:

Double the bacteria, 2000, 4,000, 8,000, 16,000 so on.

Step-by-step explanation:

Hope this helps

Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
OTwo sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
45

Answers

Answer:

two sides have the same length which is less than the length of third side

Step-by-step explanation:

The sum of the lengths of the two sides is equal to the length of the third side.

Option D is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle,

The side opposite to the equal angle are equal.

Now,

We have two 45 angles.

This means,

The sides opposite to the 45 angles will be congruent.

And,

The other angle is 90 degrees.

Which is a right triangle

Thus,

The sum of the lengths of the two sides is equal to the length of the third side.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Ali surveyed his classmates to see who liked tennis. In all, 32 males liked tennis, and 6 males did not like tennis; 13 females liked tennis, and 4 females did not like tennis. How many females did Ali survey

Answers

Answer:

Ali surveyed 17 females.

Step-by-step explanation:

From Ali's survey:

13 females liked tennis, while 4 did not.

This means that Ali's surveyed 13 + 4 = 17 females.

How many females did Ali survey?

Ali surveyed 17 females.

a) Two thirds of the class are freshman

Is it parameter or statistic

Answers

Answer:

parameter

Step-by-step explanation:

Parameter is the answer

find the value of x and y in the parallelogram ​

Answers

Answer:

x=14

y=40

Step-by-step explanation:

A parallelogram is like a rectangle 2 parallel sides are equal.

so x+3=17 and y-2=38

x+3=17

x=17-3

x=14

y-2=38

y=38+2

y=40

help me solve this question its coming in my next math test and i cant solve it!​

Answers

Answer: sorry I can't help you

Step-by-step explanation: because the picture won't show up.


Which point on the x-axis lies on the line that passes point C and is parallel to line AB

Answers

Answer:

(2,0)

Step-by-step explanation:

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To prevent any confusion, each salesperson must enter his or her own secret code with each transaction. At the end of each day, the sales manager in each department tallies the departments register, collects the money (cash and checks) from the register, and prepares a transmittal slip for the general manager to review and sign. The general manager then double-checks the cash count before signing the transmittal slips. After collecting all cash receipts from all departments, the general manager prepares a daily cash sales report and sends it to the stores finance manager. The finance manager again counts the money and signs three copies of the daily cash sales report. She keeps one copy for herself, a second copy goes to the store accountant, and the last copy goes to the store manager. 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