Here is a system of linear equations:
6x+21y=103
-6x+23y=51

Would you rather use subtraction or addition to solve the system? Explain your reasoning.

Answer:

1. number each step

2. start with the given informatiom

3. statements with the same reason can be combined into one step

4. draw a picture and mark it with the given information

5. you must have a reason for every statement

6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense

Answer:

71.500

Step-by-step explanation:

502 is closer to 500 than 600.

Answer:

71.50

Step-by-step explanation:

This is because 2 is not up to 5, so it can't be turned into 1 and be added to 0.

Answer:x + 5y is greater than or equal too $50

Step-by-step explanation:

If x is equal to the amount of $1 then there is no need for a coefficient. Being that y is represented as $5 there needs to be a coefficient of because it’s five dollars times however many you have. Then it is greater than or equal to $50 because the problem states there is at least $50 in the register.

[tex]\text {Hey! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to do Keep Change Change (KCC)}}[/tex]

[tex]\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}[/tex]

[tex]\text {\underline {The Next Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 4.25}}[/tex]

[tex]\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}[/tex]

[tex]\text {\underline {The Final Step is to Divide -2.5}}[/tex]

[tex]\text {-2.5x/-2.5=10.5/-2.5}[/tex]

[tex]\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4.2}[/tex]

[tex]\text {Best of Luck!}[/tex]

Hey there!☺

[tex]Answer:\boxed{x=-4.2}[/tex]

[tex]Explanation:[/tex]

[tex]4.25-2.5x=14.75[/tex]

Let's start by simplifying both sides in the equation.

[tex]4.25+-2.5x=14.75\\-2.5x+4.25=14.75[/tex]

Now we subtract 4.25 from both sides in the equation.

[tex]-2.5x+4.25-4.25=14.75-4.25\\-2.5x=10.5[/tex]

Now in our third/final step, we will divide both sides by -2.5.

[tex]\frac{-2.5x}{-2.5}= \frac{10.5}{-2.5}[/tex]

Now we simplify 10.5/-2.5.

[tex]\frac{10.5}{-2.5}=-4.2[/tex]

[tex]x=-4.2[/tex]

Hope this helps!

Answer:

The indifference point is 500 calls.

Step-by-step explanation:

Giving the following information:

Plan 1 charges ​$32 per month for unlimited calls and Plan 2 charges ​$17 per month plus ​$0.03 per call.

I assume we have to determine the indifference point between the two plans.

First, we need to structure the cost formulas:

Plan 1= 32

Plan 2= 17 + 0.03*x

x= call

Now, we need to equal both formulas:

32 = 17 + 0.03x

15= 0.03x

500= x

The indifference point is 500 calls.

Plan 1= $32

Plan 2= 17 + 0.03*500= $32

Answer:

Step-by-step explanation:

Answer:

(4,-9/2)

Step-by-step explanation:

(1+7/2,-6-3/2)

(4,-9/2)

Answer:

1.6g

Step-by-step explanation:

1 cup of tea= 0.8g

2 cups of tea= 0.8g×2= 1.6g

Answer:

2491.50$ oooooooooooooooooooooooo

The amount withheld from his biweekly pay for state income tax is $2491.5.

The percentage is defined as a ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that the physical therapist earns $49,830 a year and is single with no dependents.

To determine the amount withheld from his biweekly pay for state income tax.

Since the state income tax rate is 5% of taxable income.

So the amount withheld from his biweekly pay for state income tax as:

⇒ 5 % of 49,830

⇒ (5/100)49,830

⇒ (0.05)49,830

⇒ 2491.50

Therefore, the amount withheld from his biweekly pay for state income tax is $2491.5.

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Answer:

x^2 -14x+49

Step-by-step explanation:

(x-7) ^2

(x-7)(x-7)

FOIL

first ( x*x) = x^2

outer -7x

inner -7x

last -7*-7 = 49

Add these together

x^2 -7x-7x+49

Combine like terms

x^2 -14x+49

Answer:

D and E are correct

Step-by-step explanation:

Here, we want to select the set of values which could be the values of the sides of triangle z.

What we want here are sets of values which is a direct scale up value of the sets of values of triangle M:

We proceed as follows;

a. 8, 11 and 14.

This cannot be correct

Looking at the values of M, 4,7 and 10; We can see that while 4 and 7 are directly scaled up by factor 2 to give 8 and 14, by correspondence, 10 should be 20 and not 11 as in this case.

B. 10, 7.5 and 25

This cannot be correct too. Looking at the way 4 and 10

are scaled up by a value of 2.5; then the value of 7 should be scaled by 2.5 too, but 2.5 * 7 is not 7.5, so this cannot be correct

C. 6 , 9 and 11

This is not correct. In fact, we cannot identify a pattern between these numbers and their values before scaling up

D 6, 10.5 and 15

This looks correct. We can see that the values of triangle M if multiplied by 1.5 each can give these

4 * 1.5 = 6

7 * 1.5 = 10.5

and 10 * 1.5 = 15

e. 8, 14 and 20

Multiplying the sides of triangle M by 2, we can get these values.

4 * 2 = 8

7 * 2 = 14

and 10 * 2 = 20

The scale up value here is simply 2

Answer:

actually it's B, E, and D. At least that's what I got and it said it was correct.

Step-by-step explanation:

Answer:

15 i think good luck

Step-by-step explanation:

Answer:

15°

Step-by-step explanation:

m<B: Supplementary: 180°-110°=70°

Triangles have an inner angle of 180°. Using this, you can then do:

180°-70°-(30°+20°)=60°

3x+x=60°

4x=60°

x=15°

Answer:

A=[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

Answer:

the answer should be 0.96

PLEASE GIVE BRAINLIST

By reading this ithink the answer is B=median

A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles. Minimum : the lowest data point excluding any outliers.

hope this helped

The total number of classes that were taken by you was 28.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question.

Registration fee for the dance class = $15

Amount of money charges for each dance class = $24

Amount of money paid for c number of classes = $687

⇒ [tex]687 = 24c + 15[/tex]

Solve the above linear equation in one variable for c.

[tex]687 = 24c + 15[/tex]

⇒ [tex]687 - 15 = 24c[/tex]

⇒ [tex]672 = 24c[/tex]

⇒ [tex]c = \frac{672}{24}[/tex]

⇒ [tex]c = 28[/tex]

Hence, the number of classes is 28.

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Answer:

38.81%

Step-by-step explanation:

Circle area = п r ²

п = 3.14

r = 4 cm

Circle area = 3.14 * (4cm)²

Circle area = 3.14* 16cm²

Circle area = 50.24cm²

Triangle area = (heigth*width)/2

heigth = 2.5 + 4 = 6.5cm

width = 3 + 3 = 6cm

triangle area = (6.5cm*6cm)/2

triangle area = 39cm²/2

triangle area = 19.5cm²

then:

the probability that a randonly select point whitin the circle falls in the shaded area is:

19.5/50.24 = 0.3881     (aprox)

0.3881*100 = 38.81%

Answer:

56

Step-by-step explanation:

Answer:

56 degrees.

Step-by-step explanation:

a circle is 360 degrees, so 1/2=180 degrees.

all you have to do is take the other degrees, minus them from 180 and you have your answer

Answer:

-3 >-5

5>-4

Step-by-step explanation:

Negative 3 is closer to zero so that statement is true. Also it's obvious 5 is greater than negative 4

hope this helps. Please mark me brainiest          

Answer:

She is correct. If you add 11 degrees to -4 degrees, you get 7 degrees.

Step-by-step explanation:

-4 + 11 = 7

Answer:

7/5

Step-by-step explanation:

What is 1.4 in fraction form? 7/5 is the fraction form of 1.4. 1.4 as a Fraction in simplest form to convert 1.4 to a fraction and simplify to the lowest form.

------------

14/10 = 1.4

7 is half of 14

5 is half of 10

The simplest form of given number is  [tex]\frac{7}{5} [/tex].

Given number is, 1.4

Converted into fraction,  [tex]=\frac{14}{10} [/tex]

It is observed that, 2 is common in both numerator and denominator.

               [tex]\frac{14}{10} =\frac{2*7}{2*5}=\frac{7}{5} [/tex]

Hence, The simplest form of given number is  [tex]\frac{7}{5} [/tex].

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Answer:

=2456

Step-by-step explanation:23456

Answer:

123

Step-by-step explanation:

If the answer is wrong please let me know so I can fix it!!! Have a Great Day :)

Answer:

123

Step-by-step explanation:

16-4+111

12+111

=123

Answer:

Hey there!

-36+7x=76-x

-36+8x=76

112=8x

x=14

Let me know if this helps :)

Answer:

1/10

Step-by-step

The Definition Of a Midpoint says that is B is the

midpoint of segment AC, then segment AB ≅ AC.

Since segment AB ≅ segment BC, we can setup

the equation 2(3x - 1) = 8x - 20 and we can solve from here.

Start by distributing the 3 through the parenthses on the left side.

So we get 6x - 2 = 8x - 20.

Now subtract 8x from both sides to get -2x - 2 = -20.

Now add 2 to both sides and we have -2x = -18.

Finally, dividing both sides by -2, we find that x = 9.

If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.

Answer:

-15 = n

Step-by-step explanation:

Answer:

Factor 10 into its prime factors

          10 = 2 • 5  

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified

At the end of this step the partly simplified SQRT looks like this:

        sqrt (10p3)  

STEP

2

:

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(p3) = p • SQRT(p)  

Combine both simplifications

        sqrt (10p3) =

       p • sqrt(10p)  

Simplified Root :

p • sqrt(10p)

Answer:

2-30,42

3-15,21

5-5,7

7-1,7

-1,1

LCM of 30 and 42 is 210

Answer:

210

Step-by-step explanation:

30*42 by HCF of 30,42

1260 by 6 =210

Answer:

650

Step-by-step explanation:

800-250=650

It's like taking a negative number and adding a positive number to it