Determine the value of the variable that makes the equation true.
b + (-8.3) = 0

Answers

Answer 1

The value of the variable that makes the equation true is: b = 8.3.

How to Determine the value of a Variable in an Equation?

By isolating the given variable in an equation to one side of the equation, we can find out its value which will make the equation true.

Given the equation, b + (-8.3) = 0

b - 8.3 = 0 [plus times minus = minus]

Add 8.3 to both sides of the equation, to isolate variable b

b - 8.3 + 8.3 = 0 + 8.3

b = 8.3

Let's check if the value of b would make the equation true by plugging in the value of b:

b + (-8.3) = 0

8.3 + (-8.3) = 0

8.3 - 8.3 = 0

0 = 0 [true]

Therefore, the value of the variable that makes the equation true is: b = 8.3.

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Related Questions

PLEASE HELP!

When purchasing a new music Plan you are given two pay options

With Plan A, you can pay 25 cents per minute. This can be represented by the equation
c = 0.25m

With Plan B, you can pay 19 cents per minute plus a flat fee of $6.00. This can be represented by the equation c = 0.19m + 6.00

Complete the following steps to determine how many minutes you would need to use for
Plan B to be less expensive than Plan A

Write an inequality that represents Plan B < Plan A

Inequality: ____ <_____

Solve the inequality and use your answer to complete the following sentence:

Plan B is less expensive than Plan A when you use at least ______

Answers

Plan B is less expensive than Plan A when you use at least 25

What is an inequality?

Inequalities can simply be defined as mathematical expressions in which both or two sides of the expression are not equal.

From the information given, we have that;

Plan A = c = 0. 25mPlan B = c = 0. 19m + 6. 00

Now, let's write the inequality that represents Plan B < Plan A

If Plan B < Plan A

Then,

0. 19m + 6. 00 <  0. 25m

Let's simply the inequality

6. 00 < 0. 25m - 0. 19m

0. 06m < 6. 00

Make 'm' the subject

m < 6. 00/ 0. 06

m < 100

Thus, Plan B is less expensive than Plan A when you use at least 25

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To prepare one bowl of salad, 3 3/4 pounds of vegetables are required. How many pounds of vegetables are required to prepare one-third bowl of salad?

Answers

Applying the knowledge of fractions, the number of pounds of vegetables required to prepare 1/3 bowl of salad is: 1¼ pounds.

How to Solve Fractions?

In solving this problem, we would apply our knowledge of fractions as explained below.

One bowl of salad needs 3¾ pounds of vegetables

Let the number of pounds if vegetables needed for ⅓ bowl be represented as x. Therefore, we would have the following proportion:

1 bowl = 15/4 pounds of vegetables [i.e. 3¾]

⅓ bowl = x

Thus:

1/15/4 = ⅓/x

1/1 × 4/15 = 1/3 × 1/x

4/15 = 1/3x

Cross multiply

4(3x) = 1(15)

12x = 15

Divide both sides by 12

12x/12 = 15/12

x = 15/12

x = 5/4

x = 1¼ pounds

Therefore, applying the knowledge of fractions, the number of pounds of vegetables required to prepare 1/3 bowl of salad is: 1¼ pounds.

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under her cellphone plan, makayla pays a flat cost of $47.50 per month and $5 per gigabyte. She wants to keep her bill at $70.50 per month. How many gigabytes of data can she use while staying within her budget?

Answers

Answer:

15 Gigabites

Step-by-step explanation:

The closest you can can get to is $70, so by adding five in the times tables it gets you up to 15 x 5 which is 70.

replace the ? with a number to make it correct 9-5=6-?

Answers

Answer is 2

Step by step

9 - 5 = 6 - x

9 - 5 = 4
6 - 2 = 4 both sides equal

Problem solved!

What is the solution set for the following equations:
y = 5x -7 and y = 2x + 5
(3,12)
(4, 13)
(-7,5)
(2,5)

please help!

Answers

Answer:

(4,13)

Step-by-step explanation:

Set the 2 equations equal to each other and solve for x.

5x - 7 = 2x + 5  Subtract 2x from both sides

3x - 7 = 5  Add 7 to both sides

3x = 12  Divide both sides by 3

x = 4

Now plug 4 back into either of the original 2 equations to find y.

y = 5x -7

y= 5(4) -7

y = 20 -7

y= 13

A+B=C make B the subject​

Answers

Answer:

C - A = B

Step-by-step explanation:

B is now what we are solving for.

Answer:

Flip the equation so B is the sum and also the subject.

Step-by-step explanation:

[tex]A - C = B[/tex]

At a used book sale, 5 books cost $15.
1. What is the cost per book?
2. At this rate, how many books can you buy for 21$

Answers

Answer:

the cost per book is 3$. you can buy 7 books for 21$.

Step-by-step explanation:

15 divided by 5 is 3, so they cost 3 each. 21 divided by 3 is 7.

. Write down the first five terms of the AP with first term 7 and common difference 7.

Answers

The arithmetic sequence is 7,14,21,28,35,48

In an arithmetic progression (AP) sequence of numbers, the difference between any two consecutive integers is always the same. It is also known as an arithmetic sequence.

There are two definitions for an arithmetic sequence. Each term in an arithmetic sequence is created by adding a predetermined number (positive, negative, or zero) to its preceding term. It is a "series where the differences between every two following terms are the same."

Given,

first term, a = 7

common difference d = 7

n = 2

a+(n-1)d = 7+( 2 - 1 )7

= 7 + 7

= 14

n = 3

a+(n-1)d = 7+(3-1) 7

= 7+14

= 21

n = 4

a+(n-1)d = 7+(4-1) 7

= 7+ (3)7

= 28

n = 5

a+(n-1)d = 7+( 5-1 ) 7

= 7+ (4)7

= 35

n = 6

a+(n-1)d = 7+( 6-1 ) 7

= 7+ (5)7

= 42

the five terms are 7,14,21,28,35,48.

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Is 4x-6=y linear or nonlinear

Answers

Linear, if you graph the equation it extends in a straight line

The following angles are supplementary to each other.
mzA= (3x + 21)° and mzB = (6x - 21)°
Determine x.
A10
B20
C36
D60

Answers

3x+21+6x-21=180
9x=180
x=20

So the answer is B (20)

Answer: 20

Step-by-step explanation: I can help with am explanation if you dm me:)

Can you think of any other shapes that are always similar? If you can explain why they are always similar.

Answers

Answer:

Step-by-step explanation:

All you need is angles that are the same in each shape.

For example, all squares are similar. They all have 4 ninety degree angles.

All polygons with equal angles are similar. All regular hexagons have interior angles of 120 degrees.  So all regular hexagons are similar.

All regular octagons are similar. All regular octagons (8 sides) have interior angles of 135 degrees.

To get more, just look up the names of all regular polygons from 3 to 10. I've given you three of them.

If y varies directly with x and y=36 when x=6, find the value of y when x=4.
6
12
24
-18

Answers

If y varies directly with x and y=36 when x=6, the value of y is 24 when x=4.

What is direct variation?

The  mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. It is a linear function defined by an equation of the form

y = kx when x is not equal to zero.

Given:

If y varies directly with x and y=36 when x=6

According to given question we have

we can write direct variation equation as

y= k*x

where k is constant

y = 36 when x=6,

36 =k(6)

k=6

So, by putting the value of x=4 we get,

y =kx

y=6*4

y=24

Therefore, If y varies directly with x and y=36 when x=6, the value of y is 24 when x=4.

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What are the alternate exterior angle pairs in the picture below?


A. ∠1 and ∠7, ∠2 and ∠8
B. ∠1 and ∠8, ∠2 and ∠7
C. ∠1 and ∠2, ∠7 and ∠8
D. ∠1 and ∠3, ∠5 and ∠7

Answers

A. 1 and 7 and

2 and 8 alternate exteriora

Answer:

∠1 and ∠7, ∠2 and ∠8

Step-by-step explanation:

Alternate exterior angles are on the exterior of the lines and on opposite sides of the transversal.

What is the price, in dollars, of an iPhone that has been marked down 18
percent from its original price of 1200 dollars?

Answers

Answer:

If 100%=1200 what about 100%-18%.

You get 984$

Mario was asked by his teacher to express 33% in ratio, fraction, and decimal. Which of the following table do you think is an equivalent value of 33% expressed in a ratio, fraction, and decimal? Compute and solve a problem of Mario

Answers

The equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively

Ratio, Fraction and decimal

33%

In ratio:

33%

= 33 / 100

= 33 : 100

In fraction:

33%

= 33/100

In decimal:

33%

= 33/100

= 0.33

Therefore, the equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively

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A statue is 6 feet tall and weighs about 145 pounds. A second model statue is 4 feet tall.
Assume that the two statues have similar shape.
a) What is the linear scale factor for going from first to second statue?
b) How much does the second statue weigh?

Answers

The linear scale factor for going from first to second statue will be 2/3 and the weight of the second statue will be 96 2/3 pounds.

How to illustrate the information?

It should be noted that the statue is 6 feet tall and weighs about 145 pounds and second model statue is 4 feet tall.

Therefore, the linear scale factor for going from first to second statue will be:

= 4/6

= 2/3

Therefore, the weight of the second statue will be:

= 2/3 × 145

= 96 2/3 pounds.

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A, B and C are the vertices of a triangle.
A has coordinates (4, 6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.

Answers

According to the solving it is proved that DE is parallel to BC.

What do we mean by coordinates?

Coordinates are numerical lengths or angles that uniquely identify points on two-dimensional (2D) or three-dimensional (3D) surfaces ( 3D ). Mathematicians, physicists, and engineers employ a variety of coordinate systems.

What does a parallel mean?

In-parallel refers to something that is the same distance as well as the direction away from something else. Two lines of individuals standing straight across from each other is an example of in-parallel. noun. 1. In-parallel means traveling the same direction and distance as something else.

According to the given data:

To obtain the coordinates of each midpoint, use the midpoint formula.

(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))

Coordinates of D:

(x, y) = (½ (4 + 2), ½(6 + -2))

(x, y) = (3, 2)

Coordinates of E:

(x, y) = (½ (4 + -2), ½(6 + -4))

(x, y) = (1, 1)

Slope of DE:

m = Δy / Δx

m = (2 − 1) / (3 − 1)

m = 1/2

Slope of BC:

m = Δy / Δx

m = (-2 − -4) / (2 − -2)

m = 1/2

Therefore, DE is parallel to BC.

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There are 713 identical plastic chips number one through 713 in a box what is the probability of reaching into the box and randomly drawing the chip number to 564 express your answer as a simplified fraction or decimal rounded to four decimal places

Answers

The probability of randomly drawing the chip number 564 is 1 / 713 or 0.0014

What is the probability?

Probability is used to determine the odds that a random event would happen. The odds that the event would happen is a distribution that lies between 0 and 1.

If it is certain that the event would occur, the probability value would be 1. If  it is certain that the event would not occur, the probability value would be 0. If it is equally likely that the event would happen or not happen, the probability value would be 0.5.

The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability of randomly drawing the chip number 564 = number of chips numbered 564 / total number of chips

1 / 713 = 0.0014

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Out of 340 racers who started the marathon, 311 completed the race, 25 gave up, and 4 were disqualified. What percentage did not complete the marathon?

Answers

25 gave up and 4 were disqualified
25+4 = 29

340-311 also = 29 that didn’t complete it

So we do 29/340 = 0.0852

0.0852 x 100 = 8.529 = 8.5%

chapter 8
2.Find the volume of each figure. Round your answers to the nearest hundredth, if necessary.

Answers

The volume of the given figure is 267.95 mi³.

What is the volume?

The given object is a sphere. A sphere is a three-dimensional object that has all its surface points at equal distances from the center. A sphere is round in shape.

The volume of an object is the amount of space in the three-dimensional object.  The radius of a sphere is a straight line from the circumference of the sphere to the center of the sphere.

Volume of a sphere = 4/3 × π × r³

Where:

π = pi = 22/7

r = radius = 4

4/3 x 22/7 x 4³ = 267.94667 mi³

267.95 mi³

To round off to the nearest hundredth, if the thousandth digit is equal to 5 or greater than 5, add 1 to the hundredth digit and change all the digits after the hundredth digit to 0.

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parallel to 3y – 2x = – 2, passes through (3, –3)

Answers

y = 2/3x -6

Conditions for Lines to be parallel

If two straight lines are cut by a transversal, the pair of alternate angles are equal, then two straight lines are parallel to each other. the pair of interior angles on the same side of traversals is supplementary, then the two straight lines are parallel.

Given line

3y – 2x = – 2

passes through (3, –3)

The slope-intercept form is

y =mx+b,

where m is the slope and

b is the y-intercept.

y = mx+b

Divide each term in

3y – 2x = – 2 by -2 and simplify.

-3/2y +x =1

Reorder terms.

y = -(2/3)(x+1)

Using the slope-intercept form, the slope is

2/3.m=2/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope

2/3 and a given point (3, –3)

to substitute for

x1 and y1

in the point-slope form

y−y1=m(x−x1)

which is derived from the slope equation

m=(y2−y1)x2−x1.

y−(-3)=2/3⋅(x−(3))

Simplify the equation and keep it in point-slope form.

y+4=2/3⋅(x-3)

y = 2/3x -6

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subtracting linear expressions 30 points

Answers

Answer:

1) -2a + 2

2) x + 1

3) -5x + 5

Step-by-step explanation(1):

[tex]\left(7a+4\right)-\left(9a+2\right)\\=7a+4-\left(9a+2\right)\\=7a+4-9a-2\\=7a-9a+4-2\\=-2a+4-2\\=-2a+2[/tex]

Step-by-step explanation(2):

[tex]\left(2x+5\right)-\left(x+4\right)\\=2x+5-\left(x+4\right)\\=2x+5-x-4\\=2x-x+5-4\\=x+5-4\\=x+1[/tex]

Step-by-step explanation(3):

[tex]\left(2x+4\right)-\left(7x-1\right)\\=2x+4-\left(7x-1\right)\\=2x+4-7x+1\\=2x-7x+4+1\\=-5x+4+1\\=-5x+5[/tex]

Hope this helps. Notify me of any concerns.

1. -2a + 22. x + 13. -5x + 5

What are the square roots of 8,100?

Answers

90
square root of 81 is 9 so if u add two zeros to 81 and one zero to 9 u get 8100 squared is equal to 90

Given g(a) = 5x - 3, find g(-2)

Answers

Answer:

-13

Step-by-step explanation:

Plug in -2 to x:

5(-2) - 3

Multiply 5x-2:

-10 - 3

Because two negatives make a positive, add -10 and -3:

-13

Zeke made $10,200 last year working at a fast food restaurant. How much did Zeke make per month?

Answers

$850
Zeke made 10,200
Total number of months 12
Per month - 10,200/12 = 850
$10,200 divided by the 12 months of a year which is $850
Answer:
$850

Evaluate 4(b + 1)² if b = 4.

Answers

4(b+1)’2 is the same as
4( 4+1)’2
add 4+1 to get 5
the equation now is 4(5)’2
multiple 5x5 to get rid of the exponent.
4(25)
4x25= 100
your answer is 100

Answer:

68

Step-by-step explanation:

4(4 + 1)²

4(16 + 1)

64 + 4

68

A pharmacist wishes to mix a solution that is 8% Minoxidil. She has on hand 100 of a 2% solution and wishes to add some 10% solution to obtain 8% how much 10% solution should she add

Answers

Answer:

300 units

Step-by-step explanation:

40 POINTS!
Simplify 3x * 1/x^-4 * x^-3

3x
3x2
3
3x−2

Answers

Answer:

[tex]\sf {3x}^{2} [/tex]

Step-by-step explanation:

[tex] \rightarrow \sf 3x(\frac{1}{{x}^{-4}}) {x}^{-3} [/tex]

[tex] \rightarrow \sf \frac{ {3x}^{5} }{ {x}^{3} } [/tex]

[tex] \rightarrow \sf {3x}^{2} [/tex]

What are the steps in order to solve this?

Answers

Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions

What is the inverse of a function?

The inverse of a function is a function that can reverse into another function.

If we have function f and g, and f f(x) = y, then g is the inverse of f if and only if g(y) = x

Also, if f is a function f⁻¹ is the inverse of x and ff⁻¹(x) = f⁻¹f(x) = x

How to show that the composite fucntions are inverses?

Given the functions m(x) = x³ - 5 and n(x) = ∛(x + 5)

If m(x) and n(x) are inverse, then m(n(x)) = n(m(x)) = x

So, we proceed as follows

m(x) = x³ - 5

m(n(x)) = (∛(x + 5))³ - 5

m(n(x)) = x + 5 - 5

m(n(x)) = x + 0

m(n(x)) = x

Also,

n(x) = ∛(x + 5)

n(m(x)) = ∛(x³ - 5 + 5)

n(m(x)) = ∛(x³ - 0)

n(m(x)) = ∛(x³)

n(m(x)) = x

Since m(n(x)) = n(m(x)) = x, then m(x) and n(x) are inverse functions

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Kaleigh's aunt drives for Wheels Around Town, an app-based ride sharing service, to make extra money for her family. The table below shows the relationship between miles driven and money earned. Is the relationship between miles and money earned proportional

Answers

Based on the money earned by Kaleigh's aunt from Wheels Around Town, the relationship between miles and money earned is proportional.

How to find a proportional relationship?

In a proportional relationship, the rate of increase or decrease in x should be equivalent to the rate of increase or decrease in y. This rate should be constant through the entire distribution.

The equation of the line should take the form:
y = mx

There should be no y-intercept.

The slope is:

= (48  - 72) / (120 - 180)

= -24 / - 60

= 2/5

Every value of y has to be 2/5 of x.

= 160 x 2/5 = 64

= 200 x 2/5 = 80

The relationship is therefore proportional.

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