Alanna tried to solve an equation step by step. \begin{aligned} 4c&=12\\\\ \dfrac{4c}{4}&=12\cdot4&\green{\text{Step } 1}\\\\ c&=48&\blue{\text{Step } 2} \end{aligned} 4c 4 4c ​ c ​ =12 =12⋅4 =48 ​ Step 1 Step 2 ​ Find Alanna's mistake.

Answers

Answer 1

Answer:

Her mistake was in step 1

Step-by-step explanation:

Given the expression solved by Alanna

4c = 12

To get c, we will divide both sides of the equation by 4:

4c/4 = 12/4

c = 12/4

c = 3

Alanna made mistake in step 1 where she divided multiplied the right hand side of the equation by 4 instead of dividing by 4

Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

Amelie and her friends pick 27 pounds of blueberries. Each pound of blueberries contains 195 blueberries. How many blueberries did Amelie and her friends pick?

Answers

Answer:

5,265 blueberries

Step-by-step explanation:

195 blueberries      1 pound

----------------------- x  --------------

          ?                     27 pounds

cancel the 1 pound

cross multiply the 195 and 27

Answer:

hi soo i just did this got it right and the correct answer is 5265.

Step-by-step explanation:

ik it might not help now but still work right? hehe

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i

Answers

Answer:

B, C, E, F

1, -4, 2+5i, 2-5i

Step-by-step explanation:

The roots of the function g(x) are -4 and 1.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the roots of the given function, we need to find the values of x that make the function equal to zero.

This can be done by factoring the function and setting each factor equal to zero.

g(x) = (x² + 3x - 4) (x² - 4x + 29)

Setting each factor equal to zero.

x² + 3x - 4 = 0

(x + 4)(x - 1) = 0

x² - 4x + 29 = 0

This quadratic has no real roots since its discriminant is negative.

The roots of g(x) are the values of x that satisfy either of these equations, which are:

x = -4 or x = 1

Thus,

The roots of the function g(x) are -4 and 1.

Learn more about functions here:

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HAAALLLLPPPP plz

The production cost to make 10 shirts is modeled by the expression Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where y represents the number of meters of fabric needed to make the shirts. Which expression represents the production cost for one shirt?

Answers

Answer:

the second one, B

Step-by-step explanation:

This is because in both numbers the decimal was moved back one.

0.18y+55 is the  represents the production cost for one shirt.

What is Expression?

Expression is a combination of numbers, variables and operators.

Given that  production cost to make 10 shirts is modeled by the expression 1.8y+55.

The variable y represents the number of meters of fabric needed to make the shirts.

We need to find the expression represents the production cost for one shirt.

As there are 10 shirts so divide 1.8 with 10

we get 0.18.

And the value remains constant as it is a constant which does not change.

Hence, 0.18y+55 is the expression represents the production cost for one shirt.

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What is the value of the expression?
3
131
3
152

Answers

Is there suppose to be a image before I don’t get it.

if y=4x+5 what is the slope of the line

Answers

Answer:

4

Step-by-step explanation:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

In this case, check what number replaces the variable for slope, m:

y = mx + b

y = 4x + 5

In this case:

y = y

m = 4

x = x

b = 5

Therefore, 4 is your answer.

~

Hii!

___________________________________________________________

Answer:

Below is all the information you need! ^^

Step-by-step explanation:

Note that the equation that is given to us is in slope intercept form.

The slope intercept formula is y=mx+c, in which.

m=slope

c=y intercept

In the equation y=mx+c, the slope is m.

Similarly, in the equation y=4x+5, the slope is 4.

--

Hope that this helped! Best wishes.

--

Solve: 8x+14y=4 6x+7y=10

Answers

Answer:

Therefore, x = 4 and y = -2.

Step-by-step explanation:

The steps are ;

[tex]8x + 14y = 4[/tex]

[tex]2(4x + 7y) = 4[/tex]

[tex]4x + 7y = 2 - - - (1)[/tex]

[tex]6x + 7y = 10 - - - (2)[/tex]

[tex](2) - (1)[/tex]

[tex]6x - 4x = 10 - 2[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

[tex]sub \: x = 4 \: into \: (1)[/tex]

[tex](1)⇒[/tex]

[tex]4(4) + 7y = 2[/tex]

[tex]16 + 7y = 2[/tex]

[tex]7y = - 14[/tex]

[tex]y = - 2[/tex]

Can someone solve the joke please?

Why did the new boy steal a chair from the classroom?

Answers

Answer:

Because the teacher told him  to take a seat.

Answer:

Lol. Because the teacher told him to take a seat.

Simplify (2/3)^3 (1/5 *2/3)^-3 (1/5)^4

Answers

Answer:

1/5

Step-by-step explanation:

im pretty sure thats it! and have a great day!

Answer:1/5 or 0.2

by-step explanation:

Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?

Answers

Answer:

Step-by-step explanation:

Brigitte is putting a border, so she needs a perimeter

P=2(L+W)=2L+2W= 2*12+2*14.5=24+29=53

Ms. Martinez has a class of 16 students. She can spend $17 on each student to buy math supplies for the year. She first buys all of her students calculators,
which costs a total of $89.76. After buying the calculators, how much does she have left to spend on each student?
su

Answers

Answer:

none

Step-by-step explanation:

Help Please ! =(
Find the measures of the interior angles of the triangle.

Answers

x= 86
So, 86-35 which is 51.
A= 86 and C=51

- x(x + 7 (x - 5)
Graph this

Answers

Answer:

=−8x2+35x

Step-by-step explanation:

multiply first

A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?

Answers

Answer:

Dimension = 6 feet × 3 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 6 feet

Distance around the fence (Perimeter) = 18 feet

Dimension of the fence =?

Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:

Length (L) = 6 feet

Perimeter (P) = 18 feet

Breadth (B) =?

Perimeter of rectangle is given by:

P = 2(L + B)

18 = 2 (6 + B)

Clear the bracket

18 = 12 + 2B

Collect like terms

18 – 12 = 2B

6 = 2B

Divide both side by 2

B = 6/2

B = 3

Thus, the breadth of the rectangular fence is 3 feet

Dimension of the rectangular fence is given by:

Dimension = length × Breadth

Length (L) = 6 feet

Breadth (B) = 3 feet

Dimension = 6 feet × 3 feet

Genie worst five hours on Tuesday three hours on Wednesday 4.5 hours on Thursday if H represents her hourly pay rate which expression below shows the amount she earned

Answers

Answer:

12.5H

Step-by-step explanation:

Number of hours worked per day:

Tuesday = 3 hours

Wednesday =5 hours

Thursday = 4.5 hours

H = hourly pay rate

Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H

= 3H + 5H + 4.5H

= 12.5H

The expression which shows the total amount she earned = 12.5H

Meldrick had $28 in his savings account. On Monday, he deposited his earnings from mowing lawns on the weekend. He earned the same amount the next weekend but deposited only 40% of those earnings. After making the two deposits, he had $70 in his account. How much did he earn in one weekend?

Answers

Answer:

70 - 28 = 42

42/100 X 40 = 16.8

42 - 16.8 = 25.20

HElp PLZ DUE RIGHT KNaw

Answers

Answer:

variables :)

Step-by-step explanation:

Answer:

[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]

Solve. What is the 15% of 15?

Answers

Answer:

2.25

Step-by-step explanation:

Step-by-step explanation:

It is 2.25

How do the terms light, radiation, and waves relate to one another?

Answers

Visible light is a form of radiation, which can be defined as an energy that travels in the form of electromagnetic waves.

record the letters in your triangle from left to right example ABCDEFGHI​

Answers

Answer:

ABYARCIST

Step-by-step explanation: like that hope i did it right

Triangle is a polygon with 3 sides. The record of the letters in your triangle from left to right is EGFBIHDCA.

What is a triangle?

A triangle is a polygon with 3 sides. Also, It has three vertices.

As the example is given to us, ABCDEFGHI is the record of the letters that are when seen from top to bottom, therefore, if we rotate the triangle such that the left side of the triangle is on the upper side, then the triangle we will get is given below.

Thus, the record of the letters in your triangle from left to right is EGFBIHDCA.

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OKK almost done pls tell me if you can!!!!

Answers

Step-by-step explanation:

(3*4+1) / 4. * (2*5+3) / 5

= 13/ 4 * 13 /5

= 169/20

Answer:

(8 9/20)(x)

Step-by-step explanation:


14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

Answers

Answer :-

Given :-

Ratio of two Sides of Parallelogram ( Length and breadth) = 5 : 3

Perimeter of the parallelogram = 48cm

To Find :-

Length of each side of the parallelogram

Formula :-

Perimeter of the parallelogram = 2( length + breadth)

Solution :-

Let the length and breadth be 5x and 3x

2(5x + 3x) = 48cm

2(8x) = 48cm

x = 48/16

x = 3cm

Length = 5x = 5×3cm = 15cm

Breadth = 3x = 3×3cm = 9cm

We know that,

In parallelogram Opposite sides are equal

Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cm

Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3

Answers

Given:

Total number of beans = 20

Number of blue of beans = 8

One bean is selected from the bag at random.

To find:

The probability that she will draw a bean that is NOT blue.

Solution:

We have,

Total number of beans = 20

Number of blue of beans = 8

Number of non-blue beans = 20 - 8

                                              = 12

Now, the probability that she will draw a bean that is NOT blue is

[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]

Therefore, the correct option is C.

Solve it please!

-2f - 7(-8f + 3)

Answers

Answer:

3(18f−7)  (factored)

54f−21  (simplified)

hope this helped :D

I’m pretty sure that should be 54f-21

PLS HELP!!!!!what is the equation

Answers

Answer:

y= -x

Step-by-step explanation:

y= -x

Answer y = - x Final answer: y = -x

please help me please will give brainliest to anyone ​

Answers

Answer:

[tex]x^4+x^2-12[/tex]

Step-by-step explanation:

We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:

[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]

Expanding this, we get:

[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].

Ms. Lim asked her class to find an expression equivalent to 7 - 3 (4 - 2x) - 10x .

whats wrong with these problems? please include your work.

Answers

Answer:

Solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]

Step-by-step explanation:

Jon solved:

7-3(4-2x)-10x

4(4-2x)-10x

16-8x-10x

16-18x

Error in John Work

The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.

Madison Solved:

7-3(4-2x)-10x

7-3(2x)-10x

7-6x-10x

7-16x

Error in Madison Work

The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them

Selina Solved:

7-3(4-2x)-10x

7-12-2x-10x

-7-12x

Error in Selina Work

The error in Selina work is that she wrongly multiplied -3 with -2x

-3(-2x) we get 6x but Selina found it to be -2x which is wrong.

My solution:

Now, we will solve the equation correctly

[tex]7-3(4-2x)-10x[/tex]

First, multiply -3 with terms inside the bracket

[tex]7-12+6x-10x[/tex]

Now, combine like terms

[tex]7-12+6x-10x\\-5-4x[/tex]

or we can write -4x-5

So, solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]

The distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?

Answers

238.6 miles between dallas and houston

When plotting points on the coordinate plane below, which point would lie on the x-axis?

Answers

Answer:

If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.

Step-by-step explanation:

Mark me as brainlist

Please help hawjwjrjshfhsjsjsjakskdkskdkdid

Answers

9514 1404 393

Answer:

  3 1/4

Step-by-step explanation:

  [tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]

Plz I need help on this what is the unit cost in this question?

Answers

THE UNIT IS DOLLAR ($).

Step-by-step explanation:

BECAUSE IT IS GIVEN IN TOTAL COST

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