For each value of x, determine whether it is a solution to x - 42 = 7.​

9514 1404 393

Answer:

Step-by-step explanation:

A monomial is one term, which may be a constant. In the context of a polynomial, the literals in a term have non-negative integer exponents.

A fraction with a variable in the denominator is a rational expression, not considered to be a "term."

2/x and 5/y are not terms, so not monomials.

_____

Further explanation

In a larger context, a term is any mathematical expression that is to be considered as a unit. It may include radicals, rational expressions, even sums or differences. So, the expressions 2/x and 5/y may be considered to be terms in a different context than here. For example, we could say that ...

  2x⁻¹ +5y⁻¹

is a 2-term expression, though it could not be part of any polynomial.

Answer:

The answer to this question is 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Firstly, let us solve for Bobs speed

speed= distance/time

given

distance= 4 laps

time= 10 min

speed= 4/10

speed=0.4laps/min

this is the rate at which Bob is running

A) How many minutes per lap is that?

this is given as

=time/distance

=10/4

=2.5 min per lap

B) How many laps per minute is that?

this is given as

=distance/time

=4/10

=0.4lad per min

C) If Bob runs 17 laps at the same rate, how long does it take him?

given that the speed is 0.4 laps per min

and a distance of 17 laps, we want to find time

speed=distance/time

0.4=17/time

time=17/0.4

time=42.5min

Answer:

3(2y - 5)

Step-by-step explanation:

-15 + 6y OR 6y - 15

Since 3 can divide the equation, we will use it to factor the equation;

3(2y - 5)

Answer:

Step-by-step explanation:

slope is -1/3

y=-1/3x+b

take the point (1,0) and put in the equation

0=-1/3(-1)+b

0=1/3+b

-1/3+0=-1/3+1/3+b

-1/3=b

y=-1/3-1/3

Answer: How much he owes initially

Step-by-step explanation: It is in slope-intercept form. y=mx+b. My comment earlier was incorrect. m is how much money he has to pay every month, and b is how much he initially owes.

How much he owns initially

Answer:

It would be A 0.20mm

Step-by-step explanation:

It would be A because there are 12 coins in that stack with the stack's height being 2.40

Divide 2.40 by 12

2.40/12=0.20

Hope this helps

Answer:

There are 800 girls and 1000 boys.

Step-by-step explanation:

The total no of students enrolled = 1800

Ratio of boys to the girls is 4:5.

Let there are 4x boys and 5x girls.

ATQ,

4x+5x=1800

9x=1800

x = 200

No of boys = 4x = 4(200) = 800

No of girls = 5x = 5(200) = 1000

So, there are 800 girls and 1000 boys.

Answer:

kjhb

Step-by-step explanation:

piyg

Answer:

Let the price before increase be 100

Increased price =25percent of 100

25/100*100+100=125

When the price is increased to 125 she has to reduce 25

When the price is increased to 1 she has to reduce 25/125

Rate by which consumption decreases=25/125*100

=20 percent

Therefore she has to reduce 20percent consumption of onion so that there will be no change in her expenditure

Answer:

B. acute

Step-by-step explanation:

Answer:

B:  Acute triangle

Step-by-step explanation:

All of the interior angles are acute, so this is an acute triangle.

Answer:

C. y = ⁶/5x + ⁷/2

Step-by-step explanation:

First, find the slope of line AB that goes through A(3, 1) and B(-3, 6):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 1}{-3 - 3} = \frac{5}{-6} [/tex].

Slope of line AB = -⅚.

The slope of the line that is a perpendicular bisector of line AB will be a negative reciprocal of the slope of line AB.

Thus:

Negative reciprocal of -⅚ = ⁶/5. (Reciprocal of ⅚, also the sign will change from positive to negative).

Next is to find the y-intercept, b, of the line.

To do this, you need to find the midpoint where the two lines intersect:

Therefore,

Midpoint (M) of AB, for A(3, 1) and B(-3, 6) is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] A(3, 1) = (x_1, y_1) [/tex]

[tex] B(-3, 6) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{3 +(-3)}{2}, \frac{1 + 6}{2}) [/tex]

[tex] M(\frac{0}{2}, \frac{7}{2}) [/tex]

[tex] M(0, \frac{7}{2}) [/tex]

Substitute x = 0, y = ⁷/2, and m = ⁶/5 into y = mx + b and find the value of b.

⁷/2 = ⁶/5(0) + b

⁷/2 = b

b = ⁷/2

The slope (m) and the y-intercept, b, of the line we are looking for are ⁶/5 and ⁷/2, respectively.

Therefore, substitute m = ⁶/5 and b = ⁷/2 into y = mx + b.

y = ⁶/5x + ⁷/2

The equation that is the perpendicular bisector of the line AB is y = ⁶/5x + ⁷/2.

Answer:

Ballls lol

Step-by-step explanation:

Why beacon because yes beacon

Answer:

12x+15>120, choice C

Step-by-step explanation:

$12/person

$15/guide

X=12

It cannot be B or D because she only has 120 to spend. It is not possible to spend more than that. It cannot B either because X=12, the number f friends she can invite which is our unknown variable. The answer has to be C. It makes the most sense.

Answer: 225 units

Regular pentagons have 5 sides of equal length and 5 angles of equal measure. so if you have one side you can solve the rest. We have y so 5 times y equals 5 times 9=45 units per side. Multiply by the number of sides (5) and you get 225 units.

Answer:

the width would be 57cm

Step-by-step explanation:

to find the perimeter you have to add up all of the sides so for this one you would multiply 83 by 2 which would give you 166cm and then subtract it by 280cm which would give you 114cm and then you divide 114 by 2 which would give you 57

Answer:

2.3

Step-by-step explanation:

Answer: 2.27710843373

Step-by-step explanation:

pls give me brainliest!

Answer:

4620

Step-by-step explanation:

3 time110=330 a week

3 times 14=42 pratices

3 times 42 =4620

A line passes through A( - 1 , 3) & B(0 , 2).

A , B , C(1 , 1) are collinear.

We know that,

Slope of a line passing through the co - ordinates (x₁, y₁) and (x₂ , y₂) is :

m = (y₂ - y₁)/(x₂ - x₁)

Let,

Hence,

→ m = (2 - 3)/( 0 - ( - 1))

→ m = - 1/1

→ m = - 1

Now,

Equation of a line ⟹ y - y₁ = m (x - x₁)

Putting the values we get,

→ y - 3 = - 1(x - ( - 1))

→ y - 3 = - x - 1

→ y + x = - 1 + 3

→ x + y = 2

Hence, the equation of the line is x + y = 2.

Now,

we have to prove that,

A , B , C are collinear.

i.e.,

Slope of AB should be equal to Slope of BC.

We have;

Slope of AB = - 1.

→ - 1 = ( 1 - 2)/(1 - 0)

→ - 1 = - 1/1

→ - 1 = - 1

Hence, A , B , C are collinear points.

I hope it will help you.

Regards.

Answer:

-7 and 4

Step-by-step explanation:

-7 + 4 = -3

-7 x 4 = -28

Answer:

b

Step-by-step explanation:

Answer:

206.39121408

Step-by-step explanation:

So you do, (1.2*10)^10 which equals to 61917364224. divide that number by 300million. and that answer is 206.39121408 or in money, you could say, 206 dollars and 39 cents

The population of the United States is approximately 300 million people, and there are approximately 1.2 × 10 to the tenth power US dollars in existence; if that money is distributed evenly, each person receives $206.39121408.

Given that,

[tex](1.2\times10) ^{10}[/tex]   which equals  61917364224.

divide 61917364224 by 300million

∴  61917364224 / 300

= 206.39121408

Therefore,  206.39121408 is an abbreviation for 206 dollars and 39 cents.

To learn more about equation, refer to:

https://brainly.com/question/26310043

#SPJ2

Answer:

978 square inches

Step-by-step explanation:

Answer:

it is 9 and 4

Step-by-step explanation:

he is correct

The average is calculated by the sum of the total test scores divided by the total number of tests. This can represented in the equation:

91 + 86 + x /3 = 90

177 + x /3 = 90 ⇒ Multiply both sides by 3 to get rid of the /3

177 + x /3 x 3 = 90 (3)

177 + x =

177 - 177 + x = 270 - 177 ⇒ Subtract 177 from both sides to isolate x

x =93

Therefore, they must get 93% to end with a 90% final mark

Answer:

can I plz see a picture of it on order to do the work

Answer:

The answer has to be -6.

Step-by-step explanation:

The slope of the equation is 3. The slope is always by the X. So your answer is -6.

Answer:

His weekly allowance is $6.

Step-by-step explanation:

You can get the answer by using algebraic expressions.

Let 2x be Azarel's weekly allowance.

Let [tex]\frac{1}{2}[/tex](2x) be the amount after Azarel spends his allowance on comic books.

The equation will be: 12=2x+9-[tex]\frac{1}{2}[/tex](2x)

Let's solve for x:

Step 1: 12=2x+9-x

Step 2: 12=x-9

Step 3: x=12-9

Step 4: x=3

Step 5: Replace 2x with 2(3) = 6

The answer is $6. This is the allowance of Azarel every week. He spends $3 for comic books weekly, which is half of $6.

Answer:

The Following

|

v

Step-by-step explanation:

Equation: y=3x

Situation: Justin gets 3 cookies for every$1 he spends at the bakery

Table:  

x y

0 0

1 3

2 6

3 9

4 12

Relationship: Proportional

The Other Answers Go To: y= 3 + x

Sorry I couldn't add pic! :(

Answer:

Step-by-step explanation: