Mathematics High School

4.
Clare made an error when solving – 4x + 3 < 23.
Describe the error that she made.
- 4x + 3 =23
- 4x < 20

Answers

Answer 1

Step-by-step explanation:

-4x + 3 < 23

-4x < 20

x > -5

hmm,I don't think we need to put equal sign instead of (<) , for when we started calculating.

we can just keep the question as it is and calculate.

Answer 2

The error Clare made in solving the inequality -4x + 3 < 23 is in the last step. The correct solution should be x > -5, not x < -5.

When dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality symbol should be flipped. In this case, since we are dividing by -4, which is negative, the inequality should be reversed.

The correct steps to solve the inequality are as follows:

-4x + 3 < 23

Subtract 3 from both sides:

-4x < 20

Divide both sides by -4 (remembering to flip the inequality symbol):

x > -5

Therefore, the correct solution is x > -5, indicating that x is greater than -5, not less than -5 as Clare mistakenly wrote.

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

-4x + 3 < 23

-4x < 20

x < - 5

Describe the error she made

Related Questions

What will the value of angle #2 be? Show your work.

Answers

Angle 2 would be 127 degrees because the angle that is 53 degrees and angle 2 create a supplementary angle, which equals 180 degrees. This results in the equation of 53 + angle 2 = 180, leaving angle 2 to be 127 degrees.

Hope this helps!!

Simplify the expression. 1.7 – 2.7 – 1.34 + 4.9 – 1.48
please explain I'm lost

Answers

Answer:

Step-by-step explanation:

1.7 - 2.7 - 1.34 + 4.9 - 1.48

First we can group the positive and negative numbers

1.7 + 4.9 - 2.7 - 1.34 - 1.48

add the positive numbers then add the negative numbers

1.7 + 4.9 becomes 6.6

-2.7 - 1.34 - 1.48 becomes - 5.52

Now add both the answers

6.6 + (- 5.52) = 1.08

Hope this helps

Plz mark as brainliest!!!!!!!!

The expression 3/8z + 1 factored is

Answers

Answer:

Factored out is 1/8

Step-by-step explanation:

3z+8/8

San is using an industrial kitchen to bake several batches of his famous chocolate chip granola bars. He needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces. Given the equation, |c-78|=2.5, find the minimum and maximum amount of c of chocolate chips that he can weigh out. Explain all steps and solve.

Answers

Step-by-step explanation:

given that San weighs out 78 ounces

given that the margin is 2.5 ounces.

and also given that the formula is

|c-78|=2.5

maximum

the maximum ounces is= 78+2.5

the maximum ounces is= 80.5 ounces

minimum

the maximum ounces is= 78-2.5

the maximum ounces is= 76.5 ounces

Max was solving an equation and got down to 9 = -4. How should he interpret this result?

Answers

Answer:

Hi there

Your answer is

This means there is No solution

You HAVE to have a variable. You can't set a number equal to a different number

please help with this i don’t know how to do it yet

Answers

Answer:

Domain-  0-2     Range-  4-(-2)

Step-by-step explanation:

5×5×5×5×5×5×5×5×5÷5×5​

Answers

Answer:

582

Step-by-step explanation:

((5•5•5•5•5•5•5•5•5)/5)•5= 1,953,125, its basically ((5^9)/5)•5

Please help asap!!! URGENT!!!

Answers

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

what is the minimum value of the function f(x) = x2 − 10x

Answers

Answer:

-25

Step-by-step explanation:

Express the ratio 6:2:6 in its simplest form.

Answers

Answer:

in simplest form it is like 3:1;3...

BRAINLIEST ANSWER! ASAP PLEASE HELP!

Answers

Answer:

the 2nd answer I had this equation last week

27. Stuart wants to play a trick on his friend by hiding his pencil in the box of tissues shown below. If
his friend's pencil is 9 inches in length, will it fit diagonally in the box of tissues? Explain.

Answers

Answer:

Well if it’s a regular box I’m sure it will fit, because a box of tissues is at least 10 inches long in diameter.

Please Help!
for a new neighborhood, 100 acres of land will be split into 10 lots. how many acres of land will each lot have?

Answers

Your answer is 10 cause 100 divided by 10 is 10 :)

Each lot will have 10 acres of land.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find out how many acres of land each lot will have, you can divide the total amount of land (100 acres) by the number of lots (10).

So,

= 100 acres ÷ 10 lots

= 10 acres per lot

Therefore,

Each lot will have 10 acres of land.

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please help me with this it’s due in an hour idkkk if this is right tell me what i did wrong.

Answers

Answer:

the answer is

yes you are right, thanks for scrolling down

Step-by-step explanation:

I'm pretty sure you got this correct cause you can see in week 5 Kenny made 180$ and Stephanie only made 170$

For the following square, find the value of x after that Find the length of each side of the square above. Be sure to label your answer and then Find the perimeter of the square above. Make sure to label your answer Please i need help fast or else im gonna fail my class please take this seriously.

Answers

Answer:

x = 9 ; 39 in. ; 156 in.

Step-by-step explanation:

Because it is a square, we know that all 4 sides are equal to each other.

This means we can take the two expressions and equal them to each other.

4x + 3 = 3(2x - 5)

4x + 3 = 6x - 15

-2x + 3 = -15

-2x = -18

x = 9

Now that we know the value of x, we can substitute it in to find the side length.

4(9) + 3

36 + 3

39 in.

Therefore, each side of the square is 39 in.

Finally, since we know all the side lengths are 39, we can find the perimeter by adding up all 4 side lengths.

p = 4(39) = 156 in.

Therefore, the perimeter of the square is 156 in.

what is 384,400 written in scientific notation plz hurry

i will award brainliest btw 20 points

Answers

3.844X10 to the 5th power

Given m||n, find the value of x

Answers

Answer:

17 is the value of x...

Step-by-step explanation:

9x + 7 = 10x-10 reason ( being alternate angle

or, x = 17

PLEASE HELP!!! AND HURRY, I HAVE 15 MIN TO FINISH!!!!!

Which best describes this inheritance pattern?
The diagram shows the results when two parents are
crossed. The letters represent alleles for a trait that is
controlled by three different genes.
o multiple allele because a trait is controlled by three
different genes
polygenic because the offspring have alleles from
both parents
multiple allele because the offspring have alleles
from both parents
polygenic because a trait is controlled by three
different genes

Answers

Answer:its b i think

Step-by-step explanation:

Answer: D, polygenis because a trait is controlled by three different genes.

Step-by-step explanation: I got 100 of the test ^^


If f(x) = x^2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x)=0?
A.-4
B.-2
C. 2
D. 4

Answers

B because it’s make sense

Which of the following is an example of a linear equation in slope intercept form?

Answers

a. slope intercept form is y=mx+b so the slope is 4 and y intercept is -5.

A rectangle is graphed on the coordinate grid.

Which represents the equation of a side that is perpendicular to side r?
y = negative x + 5
y = negative x + 3
y = x minus 3
y = x + 3

Answers

Answer:

y = x + 3

Step-by-step explanation:

got it right on e2020

Answer:

The 4th option is correct

Step-by-step explanation:

Edge 2020

What is (5,5) 6 units to the left and 8 units up?

Answers

Answer:

(-1,13)

Step-by-step explanation:

x=5-6=-1

y=5+8=13

order of operations 10-7(3+2)7^2

Answers

Hello.

To answer this question, follow the order of operations.

10-7(3+2)7²

10-7·5·7²

10-7·5·49

10-35·49

10-1715

-1705

Step-by-step explanation:

Answer:-

[tex]\tt{10-7(3+2)7^2}[/tex]

[tex]\tt{10-7(3+2)\times 49}[/tex] ____(as 7² is 49)

[tex]\tt{10-7 \times 5\times 49}[/tex]

As we know, Multiply first,

[tex]\tt{10-7 \times 5\times 49}[/tex]

[tex]\tt{10-1715}[/tex]

[tex]\tt{-1705}[/tex]

Hope it helps :)

Which defines a line segment?

two rays with a common endpoint
a piece of a line with two endpoints
a piece of a line with one endpoint
all points equidistant from a given point

Answers

A line segment is best defined as a piece of a line with two endpoints.

What is line segment In geometry?

This refers to the part of a line that is bounded by two distinct end points which contains point on the line in between.

Hence, the line segment is best defined as a piece of a line with two endpoints.

Therefore, the Option C is correct.

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Answer: B. a piece of a line with two endpoints

Step-by-step explanation: Right on edge 2023

A business has weekly profits of $5,000, $1,700, $2,000, $2,500, $5,000, and $3,000. Why is using the mode to describe the data set misleading?

Answers

Answer: IT JUST IS

Step-by-step explanation:

Winston owns a coffee cart. He charges $3.50 for a cup of coffee, and it costs him $1.50 to make each cup of coffee plus $100 a day for other expenses. Which equation can be used to determine how many cups of coffee, c, that Winston needs to sell each day in order to break even?

Answers

Answer:

50 cups of coffee

Step-by-step explanation:

So what you do is take 3.50 then subtract 1.50 to get the profit of one cup of coffee. ($2) Then you do the $100 and divide it by the $2 and find out how many cups of coffee he has to sell to get to the $100. (50)

Im a little stuck. I would appreciate the help..

Answers

Answer:

3+1/2n

Step-by-step explanation:

3 more of technically means +3 and 1/2 of n would be 1/2n so just put them together

What is the difference of TR(325)−TR(321)

Answers

ANSWER: tr(325) - tr(321) = 4rt

Please help me with this answer

Answers

Answer: -15a^3b^4

Step-by-step explanation: combine like terms and multiply and stuff

Answer:

-15a³b⁴

Step-by-step explanation:

you have to add the exponents when you multiply them and just multiply the numbers

For her birthday party, Tausha is preparing bags of treats to share with her friends. She has 18 candy bars and 12 packs of gum. Tausha wants to use all of her candy and gum. What is the greatest number of bags of treats that Tausha can make if each of the bags has the same number of candy bars and packs of gum in it? How many candy bars and how many packs of gum will be in each bag?

Answers

Answer:

Tausha can make maximum 6 bags that has the same number of candy bars and packs of gum in it.

Number of candy bars in each bag [tex]=3[/tex]

Number of packs of gum in each bag [tex]=2[/tex]

Step-by-step explanation:

Given:

Number of candy bars = 18

Number of packs of gum = 12

To find: the greatest number of bags of treats that Tausha can make if each of the bags has the same number of candy bars and packs of gum in it

and number of candy bars and packs of gum in each bag

Solution:

Take H.C.F of 18 and 12

[tex]18=2(3^2)\\12=2^2(3)[/tex]

So,

H.C.F of 18 and 12 is 2(3) = 6

Therefore,

Tausha can make maximum 6 bags that has the same number of candy bars and packs of gum in it.

Number of candy bars in each bag = [tex]\frac{18}{6}=3[/tex]

Number of packs of gum in each bag = [tex]\frac{12}{6}=2[/tex]

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