Caleb solved this equation and recorded his work.

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6

2. 15.6x − 16.4 = −2.3x + 35.4

3. 17.9x − 16.4 = 35.4

4. 17.9x = 51.8

5. x ≈ 2.89

When Caleb verified his solution, it didn’t work. What mistake did he make?
In step 1, the distributive property was not used properly on the right side of the equation.
In step 2, the like terms were not combined properly on the right side of the equation.
In step 3, the addition property of equality was not used properly to isolate the variable term.
In step 5, the division property of equality was not used properly to solve for x.

Answers

Answer 1

Answer:

its B

Step-by-step explanation:

edg

Answer 2

Answer:

Step-by-step explanation:

In step 2, the like terms were not combined properly on the right side of the equation. or B


Related Questions

nth term of -7 -12 -17 -22 -27

Answers

Answer:

[tex]a_n=-2-5n[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the sequence

-7 -12 -17 -22 -27 ...

The first term of this sequence is a1=-7. We can calculate the common difference by subtracting two consecutive terms:

r = -12 - (-7) = -12 + 7 = -5

The nth term is:

[tex]a_n=-7+(n-1)(-5)[/tex]

Multiplying:

[tex]a_n=-7-5n+5[/tex]

Simplifying:

[tex]\boxed{a_n=-2-5n}[/tex]

Evaluate the following expression. Be sure to show your work.

Answers

Answer:

12

Step-by-step explanation:

[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]

[tex] \frac{36}{3} = 12[/tex]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

[tex]\frac{6^2}{3}[/tex]  Equation

Step 2

[tex]\frac{6^2}{3}[/tex]  Simplify the fraction

[tex]\frac{36}{3}[/tex]

Step 3

[tex]\frac{36}{3}[/tex]  Divide both sides by 3

12

answer

12

Hope this helps


5-6
(a) 1
(b) -1
(c) 11
Select the correct answer !!!!!HELP OVER HERE!!!!!!!!!

Answers

-1 or more b!!!! :)

Answer:

5 - 6

(b) since 5 is lesser than 6

the answer is -1

if the question was the other way round; 6 - 5 is 1

Urgent please get the domian and the range for this not just the Range PLEASE SUPER URGENT PLEASEEEE.

Answers

Answer:

Domain: [-5,4)

Range: (0, 4]

Step-by-step explanation:

You can see that the domain does not include the number four because of the open dot marking that spot, and the range does not include 0 because of this same reason.

13. Which number line represents the solution to the inequality -2x + 5 > 15?

!!!!!!WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

B

Step-by-step explanation:

please help me please will give brainliest to anyone who is good ​

Answers

Answer:

D

As temperature increases, so does mpg meaning better milage in warmer temperatures

-3x=18 HELP PLEASE!!!

Answers

X = -6, negative times a negative is always a positive. Mark me brainliest pls

Answer:

x=-6

Step-by-step explanation:

Move the -3 under 18 (18/-3), Then you get x=18/-3. Divide!

ANSWER: x=-6

Which point is on the graph of the function y = 3x + 2?



A. (1,5)

B. (2,3)

C. (3,2)

D. (5,1)

Answers

Answer:

a 1,5

Step-by-step explanation:

if the yintercept is 2, and the y increases 3 per every x value, then when the x would be one the y would be 5

If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow

Answers

You can make six different sundaes.
you can make 9 different sundaes

hey can someone please help me asap

Answers

Answer:

slope: 1/5

y-intercept: 4

3(b+1) +1 = 4b
please hurry i need it now

Answers

Answer:

4=b

Step-by-step explanation:

3b+3+1=4b

3b+4=4b

-3b    -3b

4=b

a box of dried fruit has 51 calories in 3 servings. how many calories are in 1 serving?

Answers

Answer:

17 calories

Step-by-step explanation:

Pythagorean theory m3/9=3

Answers

Answer:

Step-by-step explanation:

m3/9=3

We move all terms to the left:

m3/9-(3)=0

We multiply all the terms by the denominator

m3-3*9=0

We add all the numbers together, and all the variables

m^3-27=0

#learnwithbrainly

There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left

Answers

Answer:

5

Step-by-step explanation:

xf

Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct

Answers

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of [tex]\frac{4}{1}=\frac{12}{9}[/tex] because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

[tex]\frac{4}{1}=\frac{4\times 3}{1\times 3}[/tex]

Which becomes as,

[tex]\frac{4}{1}=\frac{12}{3}[/tex]

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

Solve for n.
6(n-3)- 2n=10

Answers

Expand: 6n-18-2n=10
Collect the like terms :6n-2n=4n
4n-18=10
Add 18 onto 10
4n=28
Divide by 4
Answer is n=7

Casey's grandmother sent her an $85 gift card for her birthday last year. This year, she sent her a $125 gift card. Which proportion can be used to find what percent of last year's gift this year's gift is, if n represents the unknown percent?

Answers

The answer is C. The n/100 is because percentages are out of 100. The 125/85 represents what percent of last year’s gift this year’s gift is.

“The quotient of two integers is always
an integer"
This statement:
A
is true.
B
is false.
С
does not provide
enough information.

Answers

the correct answer would be c

Answer:

“The quotient of two integers is always an integer"

B. False

Step-by-step explanation:

Suppose, 3 and 7 are integers but it's quotient 3/7 is not a integer.

Question 5
1 pts
5) If a person runs 1/3 mile in 1/9 of an hour, what is
the unit rate per hour?
A. 1/9 mi/hr
B. 1/3 mi/hr
C. 3 mi/hr
D. 9 mi/hr

Answers

BBBBBBBBBBBBBBBBBBBBBBBB

*Spam answers will not be tolerated*

Use the attachment to solve.

Cave (Use the integer alphabet chart to solve.)

Ex: A is -13

Answers

Step-by-step explanation:

C = -11

A = -13

V = 9

E = -9

If you are adding them: -24

Hope this helps!

A colony of amoebas is being studied. The mass of the colony triples every day. On Day x of the study, the colony has a mass of 3 ^ x mg. a. What is the mass of the colony on Days 3, 2 and 1? What is the mass of the colony on Day 0, when the study begins? Show your work .

Answers

Answer:

mass on day 1:  3

mass on day 2: 9

mass on day 3: 27

Step-by-step explanation:

using this equation, y = 3^x, you can plug in 1, 2, and 3 for 'x' to get the value of 'y' (which represents the mass on specific days)

3^1 = 3

3^2 = 9

3^3 = 27

plz answer my question

Answers

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

4 5/2 - 4 3/2

ANSWER WITH EXPLANATION. BRAINLIST!!!!!

Answers

Answer:

1

Step-by-step explanation:

First, we have to make the fractions improper.

To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8.  8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.

The Change in your pocket weighs 23.42 grams. You remove a quarter that weighs 8.74 grams. How much weight is in your pocket?

Answers

Answer:

14.68

Step-by-step explanation:

it simple 23.42 minus 8.74

Use the Rational Zeros Theorem to write a list of all potential rational zeros.

Answers

It’s very confusing I think third one

Answer:

1/5,2/5,4/5,1,2,4   B

Step-by-step explanation:

To my recollection the rational zeroes theorem is when you take all the factor of the Y intercept and list those and then take the factors from before and divide it by A

The first step would be to break down 4 into

1,2,4

Those are our first couple of answers, now it's time to divide it by 5

so we have 1/5, 2/5,4/5

Put it all together and get 1/5,2/5,4/5,1,2,4

Find the volume of a rectangular prism that has a height of 5 meters and the area of the base is 8cm squared

Answers

Answer:

Volume of prism = 4000 cm cubed

Step-by-step explanation:

Given that:

Height of rectangular prism = 5 meters

Converting into centimeters as the area of base is in centimeters.

1 meter = 100 centimeter

5 meters = 500 cm

Area of the base = 8 cm squared

Volume of prism = Area of base * Height

Volume of prism = 8 * 500

Volume of prism = 4000 cm cubed

Hence,

Volume of prism = 4000 cm cubed

This better? If u seen my last one

Answers

Ya I like the first one better than the second one but both are good

A rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle. What is the area in square centimeters of the dilated rectangle?

Answers

Answer:it’s 4,000

Step-by-step explanation:

The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.

What is scale factor? How it is used in Dilating sides?

Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -

K = a/b.

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]

Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.

Now, after dilation the new dimensions will be -

Length = 3.5 x 80 = 280 cm

Width = 3.5 x 50 = 175 cm

The area in square centimeters of the dilated rectangle will be -

A[d] = 280 x 175 = 49000 square centimeters

Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ2

In the given right triangle, find the miss length.

A. 25 m


B. 27 m


C. 26 m


D. 28 m

Answers

Answer:

26

Step-by-step explanation:

Answer:

C. 26 m

Step-by-step explanation:

home / math / pythagorean theorem calculator

Pythagorean Theorem Calculator

Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.

Result

abc

Given a=24 and b=10,

c = 26

∠α = 67.38° = 67°22'48" = 1.17601 rad

∠β = 22.62° = 22°37'12" = 0.39479 rad

area = 120

perimeter = 60

h =  

120

13

= 9.2307692307692

+ Show Calculation Steps

a =  

24

√  

b =  

10

√  

c =  

√  

Calculate  

   

Related

Triangle Calculator | Right Triangle Calculator

Pythagorean Theorem

The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:

In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:

a2 + b2 = c2

This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if

a = 3 and b = 4

the length of c can be determined as:

c = √a2 + b2 = √32+42 = √25 = 5

It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:

a = √c2 - b2

b = √c2 - a2

The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.

There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.

Algebraic proof:

In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.

In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:

(b + a)2 = c2 + 4  

ab

2

= c2 + 2ab

which yields:

c2 = (b + a)2 - 2ab

= b2 + 2ab + a2 - 2ab

= a2 + b2

which is the Pythagorean equation.

In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab  2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:

(b - a)2 + 4  

ab

2

=

(b - a)2 + 2ab

= b2 - 2ab + a2 + 2ab

= a2 + b2

Since the larger square has sides c and area c2, the above can be rewritten as:

c2 = a2 + b2

which is again, the Pythagorean equation.

There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.

In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram? I will mark brainliest :)

Answers

Answer: 25

Step-by-step explanation:

the exterior angle at q is 155, and the exterior and interior angle add up to 180. so, the interior angle at q is 180-155, which equals 25. angle PSR is across from interior angle q, and in parallelograms, angles across from one another must equal each other. this means that for PQRS to be a parallelogram, angle PSR must be 25 degrees.

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