Question 8

Ramon solves a linear equation. One of the steps in his work is 53 = 477

Which of these describes the solution to the equation that Ramon solves?

A

The equation has no solution

The equation has a solution of = =9

С

The equation has a solution of c = 424

D

The equation has infinitely many solutions,

Answers

Answer 1

Answer:

If Step is 53 = 477 then no solution exist

If Step is 53 x = 477 then there exist a unique solution x = 9

Step-by-step explanation:

Given - Ramon solves a linear equation. One of the steps in his work is

             53 = 477

To find - Which of these describes the solution to the equation that Ramon

              solves?

Proof -

As given, One of the steps in his work is 53 = 477

There are 2 cases possible -

Case I:

If his step is 53 = 477

Then, the equation has no solution because 53 ≠ 477

Case I:

If his step is 53 x = 477

Then, the equation has a solution because x = [tex]\frac{477}{53}[/tex] = 9

⇒The equation has a solution of x = 9.


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B po

Step-by-step explanation:

hope its help youwithmy answer

Please help me only if you know :)

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Answer:

I think the answer is D.

Step-by-step explanation:

Have a good day.

anyone please write an easy solution to solve this linear equation with brackets:

16-4(x+3)=2x

anyone pls explain i keep getting 7/2!!

Answers

Answer:

[tex] \large \boxed{x = \frac{2}{3} }[/tex]

Step-by-step explanation:

Goal

Solve the equation for x-term.

Given

Equation

[tex] \large{16 - 4(x + 3) = 2x}[/tex]

Step 1

Distribute/Expand 4 in the expression.

[tex]16 - 4x - 12 = 2x[/tex]

Step 2

Isolate x and combine like terms.

[tex]16 - 12 = 2x + 4x[/tex]

Step 3

Solve the equation for x-term

[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]

Step 4

If you are not sure that the answer is correct, I suggest to check the answer by substituting the value of x in the equation.

[tex]16 - 4x - 12 = 2x[/tex]

Substitute x = 2/3 in the equation.

[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]

Evaluate

[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]

Move -8/3 to add with 4/3.

[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]

The equation is true for x = 2/3. Hence, the solution is x = 2/3.

Hope this helps! Any questions about the answer can be asked in comments.

~ Vectør ~

Let g(x) be the reflection across the x-axis of the function f(x) = 7x + 3. Identify the rule for g(x).

Answers

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

To know more about the function

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#SPJ2

Suppose lifetime of certain type of car batteries are

normally distributed. Brand G has a mean lifetime of three years and

a standard deviation of one year. Brand M has a mean lifetime of 36

months and a standard deviation of four months.

(a) Which brand is more reliable and why?

(b) Pick one battery from each brand randomly, which one has a

better chance to last for four years and why?

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]

Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.

A car travels for 4 hours at an average speed of 45 mph and then 6 hours at an average speed of 35 mph.
(a) Work out the total distance travelled.
(b) Work out the average speed for the entire journey.

Answers

Answer: (a) 390 miles im not sure for b

Step-by-step explanation:

help?????????????????????????

Answers

Step-by-step explanation:

pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.

7*7+x*x=14*14

49+x*x=196

x*x=147

square root of 147, I believe

what equation is equal to: 5x-(9-6x) ​

Answers

Answer:

x = 9

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0

0 + -1x = 0 + -9

-1x = 0 + -9

Combine like terms: 0 + -9 = -9

-1x = -9

Divide each side by '-1'.

x = 9

Mr. Brady asked his students how long it took them to complete their homework from the previous night. He presented the results in the line plot shown. How many minutes did the greatest number of students take to do their homework? How many combined hours did those particular students spend on homework explain.

Answers

Answer:

The question is lacking the accompanying line plot, I found a matching line plot online:

Answers:

a) The number of minutes te greatest number of students took to do their homework = 40 minutes

b) The number of combined hours the students spent on their homework [tex]= 5\frac{1}{3}\ hours[/tex]

Step-by-step explanation:

From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:

1 hour = 60 minutes

∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes

∴ 40 minutes is the time the greatest number of students take to do their homework

b) combined hours those students did their homework is calculated as follows:

total time =  (number of hours used by 1 student) × number of students

[tex]Total\ time = \frac{2}{3} \times 8 = \frac{16}{3}\\= 5\frac{1}{3} \ hours[/tex]

If P and S are rational numbers and R and Q are irrational numbers, which of these statements is true?
A The product of R and Q is always an irrational number.
B The product of P and S is always a rational number.
C The sum of R and Q is always an irrational number.
D The sum of P and Q is always a rational number.

Answers

Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

the sides of a rectangle are -5x+ 10 and x-4. Write an expression for its perimeter

Answers

Answer:

-8x+12

Step-by-step explanation:

the perimeter is equal to 2l+2w

so the perimeter would be 2(-5x+10)+2(x-4)

so we just have to use distributive property to simplify it

2x-5x=-10x 2x10=20 2xx=2x  2x-4=-8

now we have -10x+20+2x-8

the last step would be to combine like terms

-10x+2x=-8x

20-8=12

so the expression would be -8x+12

hope this helps :)

In math the "Base" is defined as

Answers

In math Base is Defined as the number of digits or combination of digits that a system of counting numbers used to represent numbers a base can be any whole number greater than 0

If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?

Answers

Answer:

[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]

HOPE IT HELPS! :)

how to write 3,24 as a common fraction without using a calculator​

Answers

Answer:

dont trust me on this but i think it is 3/8

Step-by-step explanation:

I really need help with math we are learning about lines,rays,and line segments and in confused.​

Answers

Answer:

lines are straight, rays have one point and then a never ending arrow, line segments have 2 ends. i hope this helps.

Step-by-step explanation:

I took math and it will help you too

help :(( if the point (-3,-4) lies on a graph of the equation 3y=ax+6, then value of a

Answers

Answer:

The value of [tex]a[/tex] is 6.

Step-by-step explanation:

Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:

[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)

To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]

[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]

[tex]-4 = -a + 2[/tex]

[tex]a = 6[/tex]

The value of [tex]a[/tex] is 6.

How do I Determine whether Rollie's theorem can be applied to F on the closed interval (AB) F of X = -x squared

Answers

Answer:

See Explanation

Step-by-step explanation:

Your question is incomplete. I will take the complete question as:

[tex]f(x) = -x^2[/tex]

[tex]Interval: [-1,1][/tex]

Required

Determine whether Rollie's theorem can be applied or not

First, find the coordinates of the endpoints on the closed interval [-1, 1]

[tex]f(x) = -x^2[/tex]

[tex]f(-1) = -(-1)^2 = -1[/tex] ------ [tex](-1,-1)[/tex]

[tex]f(1) = -(1)^2 =-1[/tex] ---- [tex](1,-1)[/tex]

Find the derivative of f(x)

[tex]f(x) = -x^2[/tex]

[tex]f'(x) = -2x[/tex]

Calculate the slope (m) of the secant line i.e. [tex](-1,-1)[/tex] and [tex](1,-1)[/tex]

[tex]m = \frac{-1 - (-1)}{1 - (-1)}[/tex]

[tex]m = \frac{-1 +1}{1 +1}[/tex]

[tex]m = \frac{0}{2}[/tex]

[tex]m=0[/tex]

Set the derivative to the calculated slope:

[tex]f'(x) = m[/tex]

[tex]-2x = 0[/tex]

[tex]x=0[/tex]

Plug in 0 for x in f'(0)

[tex]f'(x) = -2x[/tex]

[tex]f'(0) = -2 * 0[/tex]

[tex]f'(0) = 0[/tex]

Since f'(0) is differentiable at x = 0. We can conclude that Rollie's theorem can be applied

Did the vertical or horizontal asymptote change? If it didn’t change, why not?

Answers

Answer:

I think it didnt change

Step-by-step explanation:

Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.

Felicia picks 1/2 bushel of apples in 2/5 hour how many bushels of apples does Felicia pick in one hour at this rate written as a decimal

Answers

1.25
yes because felicia would be able to pick up 1/4 a bushel per 1/5th an hour making felicia be able to pick up 5/4 a bushel in a full hour. 5/4 converted to decimal format is 1.25

What is the total cost of a dress if the regular price is $65
and the sales tax is 3.25%?

Answers

Answer:

$67.11

Step-by-step explanation:

3.25/100=0.0325

65*0.0325=2.1125=2.11

65+2.11=67.11

Can someone plz help

Answers

6x-30=84

Add 30 to both sides get 6x=114 then divide by 6

X=19 she sold 19 shirts

2 inches = 5 ft find the actual length...pls help Asap

Answers

Answer:

if the drawing length is 5 inches, the actual length in feet would be 12.5 ft

Step-by-step explanation:

2 inches = 5 ft

1 inch = 2.5 ft

5*2.5=12.5 ft as final answer.

hope it helps

If the sales tax rate is 7%, how much tax would Luis pay for a $325 bicycle?∨

Answers

Answer:

24.20 tax

369.98 total

Step-by-step explanation:

151 241
12 12
102
101
35
Perimeter
?
Simplify your answer completely

Answers

9514 1404 393

Answer:

  119 4/7

Step-by-step explanation:

The perimeter is the sum of side lengths.

  10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7

  = (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14

  = 118 + 9/7 + 4/14

  = 118 + 1 2/7 + 2/7

  = 119 4/7 . . . . perimeter of the figure

When Alexis adopted her puppy, the puppy weighted 12 pounds. One year later, the puppy weighted 60 pounds. By what percent did the puppy's weight change in one year?

Answers

Answer:

400%

Step-by-step explanation:

Original wieght = 12

New weight  = 60

Change = 60- 12= 48

Change percent =  change / original x 100 = 48 / 12 x 100 = 400 %

I hope its right!!!! :)

Got another easy question to do. Will give, Branliest.

Thanks,
:) ​

Answers

Answer: 360g

120 --> 10

  x   ---> 30

120*30=10*x

3600= 10*x

x= 3600/10

x= 360

Matthew needs 360g of flour

Answer:

360g flour

Step-by-step explanation:

10 pancakes need 120g of flour.

30 pancakes need x g of flour.

To find x, you first find the ratio between the pancakes and flour.

120g flour / 10 pancakes = 12 g flour needed per pancake

So if you have 30 pancakes,

12g of flour is needed per pancake * 30 pancakes

= 360g of flour is needed for 30 pancakes

Please answer will give brainliest

Answers

Answer:

24 ft²

Step-by-step explanation:

AC = 10-(3+3)= 4

AB = 12- (3+3) = 6

AB×AC = 6×4 = 24 ft²

An account earns simple interest.

$350 at 3% for 10 years

a. Find the interest earned.

$

b. Find the balance of the account.

$

Answers

Answer:

interest earned: $105

balance of the account: $455

Step-by-step explanation:

Interest earned and The balance of the account are $105 and $455.

Simple Interest:

Given:

Amount invested = $350

Interest rate = 3% = 0.03

Number of year = 10 years

Find:

Interest earnedThe balance of the account

Computation:

simple interest earned = PRT

Interest earned = (350)(0.03)(10)

Interest earned = $105

The balance of the account = 105 + 350

The balance of the account = $455

Find out more information about 'simple interest'

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helppppppp me plzzzzzzzzzz WILL MATK BRAILIST

Answers

Answer:

-2

Step-by-step explanation:

3(-3)^2+5(-3)-14

27-15-14=-2

Substitute -3 into the equation so
3(3)^3 is 27
5*(-3) is -15 and
You just bring down -14.
27-15-14 is -2 so
f(-3)=(-2)

1. ∠XVR =
2. ∠RVS =
3. ∠WVS =
4. ∠RST =
5. ∠RSV =
6. ∠VSU =
7. ∠UST =
8. ∠TUS =

Answers

Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

∠XVR = 180 - 55°

∠XVR = 125°

2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

∠WVS = 125°

4. ∠RST = <R + <RVS (exterior angle theorem)

<RST = 55 + 55

<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

∠RSV = 70°

6. ∠VSU = <RST (vertical angles are congruent)

<VSU = 70°

7. ∠UST = <RSV (vertical angles)

<UST = 70°

8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

<TUS = 180 - (70 + 71)

<TUS = 39°

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