Jenny & Natasha are working on a problem together: Solve x/3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.

Answers

Answer 1

The individual that is correct is Natasha. This is because the answer can be gotten using Natasha's method

The given equation is  [tex]\frac{x}{3} + 8 = -2[/tex]

Solving the equation using Natasha's method

the fist step is to multiply by 2

x + 24 = - 6

The second step is to combine  and add similar terms

x = -24 - 6

x = -30

Second method of solving the equation

The equation the friends are trying to solve is [tex]\frac{x}{3} + 8 = -2[/tex]

The first step is to combine similar terms

[tex]\frac{x}{3}[/tex] = - 8 - 2

The second step is to add similar terms together

[tex]\frac{x}{3}[/tex] = - 10

The third step is to multiply both sides of the equation by 3

x = (-10 x 3)

x = -30

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Related Questions

A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.



What is the elevation in feet of the road 5 miles from the starting point?


(a.) 750
(b.) 1000
(c.) 1250
(d.) 1500

Answers

If you take 2000 and divide it by 8 then it’s 250. Then you multiple it by 5 and you get 1250. So the answer is C) 1250.

The function his a quadratic function whose graph is a translation 7 units left and 9 units up function f(x) = x². What is the equation of h in vertex form and in the form y = ax²+bx+c?​

Answers

Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point. 1. 6 units down (–2, –1) 2. 3 units right (1, 5) For each.

Given the following sets.
A = (0, 1, 2, 3}
B =[a, b, c, d)
C = (0, a, 2, b}
Find A n C.
O [0, 2}
O [a, b, c, d)
O [0, 1, 2, 3)
O empty set
O (0, a, 2, b)

Answers

find AnC

given,

A=(0,1,2,3)

C=(0,a,2,b)

now,

AnC=(0,1,2,3)n(0,a,2,b)

AnC=(0,2)ans.

Use trig identities to show that sec θ − cos θ = tanθ (sin θ)

Answers

Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex]  to get

    [tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]

Then find a common denominator:

    [tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]

But now make that one fraction:

    [tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]

But that's just sin^2 on the top

    [tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]

Split that fraction up:

    [tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]

And tan = sin/cos

    [tex]=\tan\theta\cdot sin\theta[/tex]

what is the image of the point (0,-1) after a rotation of 180° counterclockwise​

Answers

(0,1) the rule is (-x,-y) so just plug it in

O is the centre of the circle.
Determine the value of a°.

Answers

Answer:

m<a=41º

Step-by-step explanation:

a triangle has 180º total

180-98=82

since O is the center that makes OQ and OP radii and as such they are equally distanced

this means that the m<a and the measure opposite it are equal

so ÷82 by 2

a=41

what is the decimal equivalent of 17/20
A. 0.085
B. 0.117
C. 0.85
D. 8.5

Answers

Answer:

0.85.

Step-by-step explanation:

20)17.00 (0.85

-    160

       100

      -100

          ......

   

The answer is 0.85 :)

Volume of this prism

Answers

Answer:

the Volume of the prism is 108 because

Volume = Base area x height

V = 12 * 9 = 108

Step-by-step explanation:

9 out of 45 apples are red.the situation is looking for the (part, whole, percent)

Answers

The answer would be 20% divide 9 by 45 and you get the answer of 0.2. When we use percents, we multiply the value by 100 so 0.2 x 100 you move the decimal over 2 places to the right. This means it would be 20% of the whole.

HElp K 12 test! Will give brainiest PLS HELP!!!!

1. Which product is negative?


a. −6⋅(−7)⋅(−8)⋅0


b. −2⋅(−7)⋅12⋅(4)


c. −3⋅(−2)⋅(−4)⋅(−7)


d. 4⋅(−9)⋅(−3)⋅(−1)


2. Multiply.


−3⋅7



a. −21


b. −11


c. 11


d. 21


3.Multiply.


(−17)⋅(−6)



a. −102


b. −23


c. 23


d. 102


4. What is the product?


−5⋅(−3)⋅(−8)



a. −120


b. −16


c. 16


d. 120


5. What is the product?


4⋅(−9)⋅(−3)⋅(−1)



a. −108


b. −81


c. 81


d. 108

Answers

Answer:

1. d  2. a  3. d  4. a  5. a

Step-by-step explanation:

For 1, d is negative because, if there an even number of negatives, the answer will be positive. a. would have been correct, but you multiply that one by 0. 0 is not negative, so the answer has to be d.

2. is -21. You can multiply 3 times seven then make it negative, or simply add -7 together 3 times.

3. is d because the two negatives cancel each other out. Even numbers of negatives cancel each other out. therefore, 17 times 6 is 102.

4. -120 is the answer because there are 3 negatives. That is an odd number, so we know our answer is negative. -5 times -3 is 15, and 15 times -8 is -120.

5. is a because -1 times 4 is -4, then -4 times -9 is 36. 36 times -3 is then -108.

Pleaseee help me plz

Answers

The answer is 70. When you multiply a negative and a positive you get a negative. For example, -5 x 7 = -35. Now when you have to multiply that by -2, negative times a negative is a positive because they cancel each other out. -2 x -35 =70

Answer:

hey there,

hey there,in this question

-7 is multiply by 5 then multiply by-2

-7×5=-35 -35×-2=70

i want to inform that when minus is mutiply by minus it become plus

Step-by-step explanation:

hope it help you #BEBRAINLY

please help me

no random links pls

Answers

Answer:

C

Step-by-step explanation:

The first one (0,7) tells you that when x isn't there, the amount of money is 7.

That means that the y intercept is 7.

When x = 1 the total is 15

Money saved = ax + 7

15 = a*1 + 7                         Subtract 7

15-7 = a + 7-7

a = 8

The equation is f(x)  = 8x + 7

Someone help pls I forgot how to do it

Answers

(2,4)

Step-by-step explanation:

I'm not sure in the slightest but with the formula I learned I think this is correct

Bella is going to invest $94,000 and leave it in an account for 9 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Bella to end up with $156,000?

Answers

Answer:

8.8420

Step-by-step explanation:

What is the sum of 12 - 5iand -3 +4i?
-16+ 63i
9-i
9-9i
15-9i

Answers

Answer:

9 - i.

Step-by-step explanation:

Add the real and imaginary parts separately:

12 - 5i + -3 + 4i

= 12 + -3 - 5i + 4i

= 9 - i.

Does the point (13, –5) lie on the line y = 8 – x? Show your workings.

Answers

Answer:

well is there a picture ? so i can see if it does or doesnt

Step-by-step explanation:

how many gallons are equivalent to 20 points

Answers

Answer:

2.31964e-7

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

4. 18 is 80% of what?
A. 20
B. 22.5
C. 14.4
D. 9

Answers

Answer:

22.5 (B)

Step-by-step explanation:

The Answer to Your question is C.
18 is 80% of 14.4

C. 14.4

Donald bought 3 shirts for $45. How many shirts can Donald buy if he has $30? Show your work using mathematics.

Answers

Answer:

donald can buy 2

Step-by-step explanation:

price of a shirt = $45÷3

=15

=30÷2=15

Answer:2 shirts

Step-by-step explanation: if you divide 45$ by three you find out each shirt cost 15$ if you add fifteen twice you get 30$ theirfor you used all your money and can not buy another shirt.

the number get when 90 is divided by 30 and its quotient is multiplied by 53?

Answers

Answer:

Step-by-step explanation: 90 divided in to 30 is not 53 is is equal to 3

PLEASE help me for this math problem

Answers

:answer (x+5−4)(x+5+4)(x−4)

how i got it:

(x+5−4)(x−(−

2

2(5+4)

))(x−4)

A company has 95,000 shares of stock to sell. A stockbroker decides to buy equal shares of stock for each of her 250 clients .

Answers

Answer:

380 Stocks per client

Step-by-step explanation:

To solve:

95,000/250 (95,00 shares between 250 of her clients)

= 380 Stocks per client

Hope this helps!

please just help mee

Answers

Step-by-step explanation:

The rates of:

- coffee Bean To Go = 19/4 = $4.75

per pound

- coffee 4U = $5.25 per pound

the correct answer is :

B. coffee Bean To Go is cheaper,

selling coffee at $4.75 per pound

Work out the angle of x 97degrees

Answers

Answer:

Answer is 3x

Step-by-step explanation:

A cashier has a total of 110 bills, made up of tens and hundreds. The total value of the money is $5780. How much of each kind does he have?
He has ____ tens and ____ hundreds.

Answers

Answer:

58 tens and 52 hundreds

Step-by-step explanation:

110 bills total equaling 5780.

58 times 10 = 580 meaning the remaining 52 bills are hundreds

52 times 100 = 5200 add the 580 to get 5780

can someone help with this question please

Answers

Answer:

3

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

Weight of Male Dogs (Ib.)
The most appropriate measure of center for this
data is the median
4
5
COMPLETE
5
0
2.
8
00
Which statement about the data is true?
6
N
2
8
7
2
8
O The mean is greater than the median.
O The mean is equal to the median.
The mean is less than the median.
8
1
9
on
5
DONE
8|1 means 81

Answers

Answer:

65  

Step-by-step explanation:

45, 50, 52, 58, 62, 68, 72, 78, 81, 95  

62 + 68 = 130/2 = 65  

The median is 65

The median of the weight of the male dogs is M = 65 lb

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the weights of the male dogs be represented as set A

where the value of A is

Set A = { 45, 50, 52, 58, 62, 68, 72, 78, 81, 95 }

On simplifying , we get

The number of terms = 10

So , the median M = ( 62 + 68 ) / 2

The median M = 130/2 = 65 lb

where the mean is C = 66.1 lb

Hence , the median is M = 65 lb

To learn more about median click :

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(-4x2 – 2x – 6) – (-7x2 – 2x – 2)

Answers

2

Step-by-step explanation:

:) hope its correct lol

The answer is 2
Trust me it is correct hope this help

In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Prove that ABCD is a parallelogram.

Answers

Since AD is congruent to BC, AD is parallel to BC, and all of the line segments meet, it forms a parallelogram.

The proof for ABCD is a parallelogram is shown below.

What is parallelogram?The opposing sides are equally spaced and parallel.Angles on either side are equal.The following or neighbouring angles are supplemental.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.

Given:

AD is congruent to BC,

and AD is parallel to BC.

So, if the quadrilateral have opposite sides congruent and parallel.

Such Quadrilateral are parallelogram.

Hence, the given quadrilateral is a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/19187448

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Is the following a function?
{(1, -2), (-2, 0), (-1, 2), (1,3)}

Answers

it is not a function. A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).

You need to determine whether every first element (or input) correspond with EXACTLY ONE second element (or output).

in this case, the input value of 1 goes with two output values, -2 and 3.  

It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.
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