Clare made an error when solving -4x + 3 < 23

-4x + 3 < 23

-4x < 20

x < - 5

Describe the error she made
Help me plzz

Answers

Answer 1

Answer:

Clare didn't change the inequality symbol in the last step to >

Step-by-step explanation:

Given inequality is:

[tex]-4x+3<23[/tex]

Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.

The answer must have been x > -5

The correct way to solve is:

[tex]-4x+3 <23\\-4x<20\\x>-5[/tex]

Hence,

Clare didn't change the inequality symbol in the last step to >


Related Questions

can somebody please help me ​

Answers

Answer:

Step-by-step explanation:

3,249

Answer:

360

Step-by-step explanation:

So, here's what we know...

Andres has 3,240 cookies and is putting them in boxes and wants 9 cookies in each.

To solve this, the easiest way is to divide 3,240/9. Since Andres is splitting putting 9 cookies in a box. The equation to solve this would be...

3,240 cookies ÷ 9 cookies per box = x boxes

Now, let's do the math!

3,240 ÷ 9 = 360

So, Andres used 360 boxes!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

For her phone service, Kaitlin pays a monthly fee of $10, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $105.27. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Answers

The equation of this problem is:

0.07m + 10 ≥ 105.27

Subtract 10 from both sides:

0.07m ≥ 95.27

Divide 0.07 on both sides:

m ≥ 1,361

Therefore, the number of minutes that Kaitlyn acquires each month is greater than or equal to 1,361 minutes.

Hope this helps!!

Kay

The possible number of minutes Kaitlin has used her phone in a month is 1361 minutes or more.

Let's set up an inequality to represent Kaitlin's monthly charges. We know that the total cost, C, for the month is the sum of the monthly fee ($10) and the additional charge based on the number of minutes used ($0.07 per minute, which can be written as 0.07m, where m represents the number of minutes used).

So, the inequality can be written as: C = 10 + 0.07m

Now, we are given that the least amount she has been charged in a month is $105.27. Therefore, we can write the inequality:

C ≥ 105.27

Substitute the expression for C from the first inequality: 10 + 0.07m ≥ 105.27

Now, solve for m:

Subtract 10 from both sides of the inequality:

0.07m ≥ 105.27 - 10

0.07m ≥ 95.27

Finally, divide both sides of the inequality by 0.07:

m ≥ 95.27 / 0.07

m ≥ 1361

To know more about possible number ;

https://brainly.com/question/29765042

#SPJ2

A bat can fly 84 feet in four seconds. A dove can
fly 35 feet in two seconds. Which can fly faster and by
how much?

Answers

Answer:

A bat

Step-by-step explanation:

Answer:

The bat flies faster by 7 feet

Step-by-step explanation:

first, you need to find some common ground. 84 and 4 can both be divided by two 84/2=42 so now we know that:

-The bat flies 42 feet in two seconds

-The dove flies 35 feet in two seconds

So we know that the bad flies faster because the number is greater, but by how much?

To find this just subtract 35 from 42 to get 7.

So to summarize

The bat flies faster by 7 feet

What is the length of side a?

Line a to b is 5
line b to c is a

Answers

Answer: which side is a? I can’t answer the question without knowing the sides

Step-by-step explanation:

helppppp please will give brainliest​

Answers

Answer:

the value of y is 3 more than twice x

Step-by-step explanation:

we find the slope is 2 because 4/2=2

y=2x+b

we put in the first point (1,5)

5=2+b

b=3

y=2x+3

Answer:

i think its c

Step-by-step explanation:

because 4 times 1 is 4 and if u add 1 than u get 5 which is y

im not sure if this is right lmk

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning.

Answers

Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

To find:

The number of blue marbles in the bag.

Solution:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Let the number of blue marbles be 21x and white marbles be 4x.

Total number of marbles in the bag = 150

[tex]21x+4x=150[/tex]

[tex]25x=150[/tex]

Divide both sides by 25.

[tex]x=\dfrac{150}{25}[/tex]

[tex]x=6[/tex]

Now,

[tex]\text{Blue marbles}=21x[/tex]

[tex]\text{Blue marbles}=21(6)[/tex]

[tex]\text{Blue marbles}=126[/tex]

Therefore, the number of blue marbles is 126.

Find a third degree polynomial with rational coefficients that has the given numbers as given roots

4 and 3 - [tex]\sqrt{2}[/tex]

Answers

Answer:

[tex]x^3-10x^2+31x-28[/tex]

Step-by-step explanation:

Since we are looking for a polynomial with RATIONAL coefficients, then we know that if [tex]3-\sqrt{2}[/tex]  is a root, then its conjugate  [tex]3+\sqrt{2}[/tex] must also be a root

Therefore, we build the polynomial using binomial factors with the given roots as shown below:

[tex](x-4)*(x-3+\sqrt{2} )*(x-3-\sqrt{2} )= (x-4)((x-3)^2-2)=\\=(x-4)*(x^2-6x+9-2) =(x-4)*(x^2-6x+7)=\\=x^3-10x^2+31x-28[/tex]

slope intercept form: passes through (1, -3), slope = -1​

Answers

Answer:

y=-x-2

             kkkkjkjkjkjkjkj

y> 3x +3
1
yer - 2
트로

Answers

Answer:

Is this in a different language?

Step-by-step explanation:ok:)

Choose the incorrect statement
The polarity or poles in Earth's magnetic
field actually switch and is recorded in the sea
floor.
The youngest rock is actually at the center
of the ocean and older the farther apart that
we become.
The polarity or poles in Earth's magnetic
field actually switch and is recorded in the
atmophere.
Hi

Answers

Answer:

btw i am pretty sure thats physics

Case #3
All of Mr. Bassett's science classes are going to the Natural
History Museum. A tour guide is needed for each group of
eight students. His classes have 28 students, 35 students,
22 students, 33 students, and 22 students.
How many tour guides are needed?

Answers

Answer:

17.5 tour guides are needed . In my idea.

Answer:

18

Step-by-step explanation:

If you add all of the students then divide by 8 you get 17.5. However, you can't have .5 of a tour guide, so you round up to 18.

28+35+22+33+22=140

140/8=17.5

17.5 ≈ 18 tour guides

Hope this helps!

An object with initial temperature 120° F is submerged in large tank of water whose temperature is

70°F. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is

k= 0.2

F(t)=

Answers

Answer:

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]

Step-by-step explanation:

Newton's law of cooling states

"that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"

Newton's Law of Cooling is given by the formula

[tex]F(t)=Ts+(T0-Ts)^{e-kt[/tex]

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]

what is 8y – 3z + 2 + 10y + 5z – 2 simplified?

Answers

Answer:

18y + 2z

Step-by-step explanation:

So first things is first, arrange all terms with the same degree.

8y + 10y - 3z + 5z + 2 - 2

Next combine like terms for everything

8y + 10y = 18y cuz 8 + 10 is 18.

-3z + 5z = 2z cuz -3 + 5 = 2

2 - 2 = 0 cuz that's a rule in math.

So the final answer is 18y + 2z.

You don't have a whole number cuz it is 0. You can put it there if you want as well.

18y + 2z + 0

CHECK MY ANSWERS PLEASE!!


1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)

Answers

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

What is 0/0
What is 1/1

Answers

Answer:

0/0=0. 1/1=1.

Step-by-step explanation:

i passed grade 1.

Answer:

1) 0/0 = 0

2) 1/1 = 1

Step-by-step explanation:

hope this helps

The lawful speeds S on an interstate highway satisfy |S-60| <= 17.5. Find the maximum and minimum speed limits by solving the absolute value equation |S-60| = 17.5

Answers

Answer:

Step-by-step explanation:

Given the expression of the speed satisfying the equation |S-60|≤17.5

The inequality expression will return both a negative and positive value.

For the positive value of the function;

S-60 ≤17.5

S ≤17.5+60

S  ≤ 77.5

For the negative value of the function;

-(S-60) ≤17.5

-S+60 ≤17.5

-S  ≤17.5 -60

-S  ≤ -42.5

multiply through by -1

S≥42.5

Hence the minimum speed limit is S≥42.5 while the maximum is S  ≤ 77.5

calculate the mean of the following. 3,5,6,4,7,3,9,8​

Answers

Step-by-step explanation:

mean = sum of observation/ no. of observation

mean = 3+5+6+4+7+3+9+8/ 8

mean = 45/8 = 5.6

Answer:

3+5+6+4+7+3+9+8/8

45/8

5.625

Show that x = 0 is not a solution to the equation 2x = x + 5. Explain your answer. will brainlist

Answers

Answer:

Step-by-step explanation:

If you substitute 0 to x the equation will not be right.

2*0 = 0 + 5

0 ≠ 5

0 is not equal to right. So 0 is not a solution for the equation.

The solution is actually 5. X=5

Answer:

:3))

Step-by-step explanation:

2x = x + 5                         original equation

2(0) = 0 + 5                      plug in 0 ("solution") for x

0 = 0 + 5                          simplify 2(0)

0 = 5 (not true)                 simplify 0 + 5

Because the final answer to the equation wasn't true when using the input value of 0 for x, we know that 0 is not a solution to this equation.

please help me


evaluate
-x^2 + 2
for
x=5

Answers

Answer: Answer is 27.

Step-by-step explanation: -5 squared is 25 plus 2 is 27.

Answer:

27

Step-by-step explanation:

-x^2+2

Substitute the x for a 5

-5^2+2

-5^2=25

25+2=27

The answer is 27

I WILL MARK BRAINLIST
help ASAP and please answer both questions asked

Answers

Answer:

1. 768 square yards

2. 384 square yards

Step-by-step explanation:

1. 16 x 16 = 256

  256 x 3 = 768 square yards

2. 16 x 16 = 256

   256/2 = 128

   128 x 3 = 384 square yards

Is 5 a irrational number

Answers

Answer:

no.

Step-by-step explanation:

Answer:

No. Because, 5 is an integer, that's why it's not irrational.

How many roots do the functions have in common?

f(x)=2x^2-4x-16

Please Help??

Answers

Answer:

Step-by-step explanation:

Given the function f(x)=2x^2-4x-16

To know the amount of roots that the function have in common, we need to first factorize the expression as shown;

f(x)=2x^2-4x-16

f(x)=2x^2-8x-16

Let f(x) = 0

0 =2x^2-4x-16

2x^2-4x-16 = 0

Divide through by 2;

x^2-2x-8 = 0

x^2 - 4x + 2x - 8 = 0

x(x-4)+2(x-4) = 0

(x+2)(x-4) = 0

x = -2 and 4

Hence the roots of the function are -2 and 4. They did not have any common roots

Answer:

f and g share the same root(s).

Step-by-step explanation:

The sum of a number and twice another number is 17. The sum of twice the first number and the second number is 4. What are the two numbers?
a) define the variables

b) write a system of equations

c) solve by elimination

Answers

Step-by-step explanation:

Given that,

a + 2b = 17

Also,

2a + b = 4

By adding the above expressions we get,

a + 2b + 2a + b = 17 + 4

3a + 3b = 21.

3 (a + b) = 21

a + b = 21/3

a + b = 7 Let us take 'b' = 10

a + 10 = 7

a = 7 - 10

a = -3

Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions

a + 2b = 17

-3 + (2 × 10) = 17

-3 + 20 = 17

17 = 17

2a + b = 4

(2 × -3) + 10 = 4

-6 + 10 = 4

4 = 4

Therefore, a = -3 and b = 10 [(-3,10)] is the solution.


Find the unknown side of the triangle. Urgent

Answers

Answer:

13 in

Step-by-step explanation:

It’s a right triangle, so use the Pythagorean Theorem.

12²+5²=c²

144+25=c²

169=c²

√169=c

13=c

Solve this equation:

2.7x (27 + 4x) - 45y + 2

if y = 3

and x = 5

Sorry if this is a tough problem.

Answers

Answer:

501.5

Step-by-step explanation:

Fill it in.

2.7(5)(27+4(5))-45(3)+2Multiply, 13.5(27+20)-135+2Add, 13.5(47)-133Multiply, 634.5-133Subtract, 501.5

Answer: 2.7x (27 + 4x) - 45y + 2 = 501.5

Step-by-step explanation:

Start with 2.7x (27 + 4x)

so 2.7(5) = 13.5

and then you change the number that multiplies with the others:

13.5 (27 + 4x)

Then multiply them:

364.5 + 54x

And then add them with the rest of your equation:

364.5 + 54x - 45y + 2

Now multiply the numbers that have the variables:

364.5 + 54x - 45y + 2

54(5) = 270  and -45(3) = -135

then add them to the equation again:

364.5 + 270 -135 + 2

And then add them or subtract them altogether (I added 364.5 and 270 first and I got: 634.5. And then I subtracted/added -135 + 2 second and I got: -133.

then do 634.5 - 133 and you should get 501.5.

Rosa needs 3 pounds of ground beef to make a recipe. She has 3.68 pounds of ground beef. Does Rosa have enough ground beef to make her recipe​

Answers

Answer:

yes

Step-by-step explanation:

3.68-3=0.68 (SHE HAS ENOUGH!!!)

PLZZZ HELP DUE IN 5 MINS

Which set of ordered pairs represents a function?

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}
{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)}
{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)}
{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)}

Answers

Answer:

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}

Step-by-step explanation:

recall that for a function to be valid, every input must give one and only 1 output. (i.e every x-ordinate must have only one unique corresponding y-ordinate)

I have highlighted in bold and underlined the entries for each of the other choices where an x-value gives more than one possible y-value, hence these are not functions. only the first option satisfies this condition:

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)} Every x-value has a unique y-value, so it is possible that this is a function.

{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)}  (not a function)

{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)} (not a function)

{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)} (not a function)

Find the value of X. Geometry!!!

Answers

Answer:

D. 19

Step-by-step explanation:

x+5 has to equal half of the base(3x-9)

I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24

48/2=24 Therefore, the answer is D, 19

Solve the system:
2x - y = 4
x + y = 5

Answers

( 3 , 2 ) Equation Form: x = 3 , y = 2

Answer:

(x=3, y=2)

Step-by-step explanation:

2x-y=4------equation1

x+y=5-----equation2

Add equation 1 to equation2

3x=9

x=9/3

x=3

substitute x=3 into equation 2

x+y=5

3+y=5

y=5-3

y=2

example. consider the function f (x) = x^3 – 3x + 1 (1) find the critical points of f(x) and the intervals on which the function f(x) is increasing and decreasing, and determine relative extrema of f(x) (11) find the intervals on which the function f(x) is concave up and concave down and locate the inflection points of f(x)

Answers

Answerdddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

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