Which of the following is the most direct first step in solving the system of equations be-
low using the elimination method?
x + y = 4
2x - y = 2
That is, which of the following would be the first step in a method that would require the
fewest number of steps?
A
multiplying the second equation by -2
B
adding the two equations together
С
multiplying the first equation by -2
D
multiplying both equations by 2

Answers

Answer 1

Step-by-step explanation:

Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Step 2: Subtract the second equation from the first. Step 3: Solve this new equation for y. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.


Related Questions

the sum of -7x and 4x+2
pls help

Answers

I think it’s 8 sorry if the answer is wrong

Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? A 3-column table with 3 rows. Column 1 is labeled age with entries 35, 40, 45. Column 2 is labeled 10-year term, male, with entries 1. 40, 1. 64, 2. 7. Column 3 is labeled 10-year term, female, with entries 1. 36, 1. 59, 2. 1. A. $161 b. $185 c. $1,073 d. $24 Please select the best answer from the choices provided A B C D.

Answers

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. $24

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

Learn more about insurance premiums here:

https://brainly.com/question/3053945

Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options:$0.98$7.48$14.05$14.96

Answers

Answer: $14.96

Step-by-step explanation:

13.98 + .98 = 14.96

The total amount paid by Sally is $ 14.96

What is Sales Tax?

The Sales tax is calculated by the equation

Sales tax rate = Sales tax percent / 100

Sales tax = List price x Sales tax rate

Given data ,

List price of the shirt Sally bought = $ 6.99

Number of shirts Sally bought = 2 shirts

Total price of 2 shirts = 2 x 6.99

                                    = $ 13.98

So , List price = $ 13.98

Sales tax rate = 7 %

Total amount paid by Sally = List price + Sales tax

Now , Sales tax is calculated by

Sales tax = List price x Sales tax rate

                = 13.98 x 0.07

                = 0.9786

Therefore , total amount paid by Sally = List price + Sales tax

                                                               = 13.98 + 0.9786

                                                               = $ 14.9586

                                                               ≈ $ 14.96

Hence , the total amount paid by Sally is $ 14.96

To learn more about Sales tax click :

https://brainly.com/question/27092799

#SPJ5

8 out of 45 students want lemonade and the rest want iced tea. What is the ratio of the number of students who want lemonade to the number of students who want iced tea?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

8/37

Step-by-step explanation:

People who wants iced tea = 45 - 8

People who wants lemonade = 8

8 (lemonade) / 37 (iced tea)

Which of the following choices is equivalent to the question 5(2x-1)=5(2x-1)=5(5x-14)?

2x- 1=5x-14

5(2x-1)=5x-14

2x-1=5

None of these choices are correct

Answers

Answer:

None of these choices are correct

What is an equation of the line that passes through the points (-6, 5) and (6, -7)?


Plz answer

Answers

We can put this into point-slope form, and then put this into slope-intercept form. Firstly, we need to find the slope. The slope is -12/12. This means it is -1. I found this by using y2-y1/x2-x1.

Next, we use point-slope form. Point-slope form is y-y1=m(x-x2). I will use the coordinate (-6, 5). y-5=-1(x-(-6) is y-5=-x-6. Once we solve for y, we get y=-x-1.

The answer is y=-x-1

Express the followingbin the standard form:
(I) 80000
(ii) 0.00000000094
(iii) 467.5
(iv) 50200000000000
(v) 0.00000005837
(vi) 71860000000
help me!
Thank you in advance​

Answers

(i)Given number = 8000

=8 × 1000

= 8×10³

The standard form of 8000 is 8×10³

(ii)Given number = 0.00000000094

⇛ 94/100000000000

⇛ 94/10¹¹

On multiplying and dividing with 10 then

⇛ (94/10¹¹)×(10/10)

⇛ (94/10)×(10/10¹¹)

⇛ 9.4 × (1/10¹⁰)

⇛ 9.4/10¹⁰

⇛ 9.4×10^-10

The standard form of 0.00000000094 = 9.4×10^-10

(iii) Given number = 467.5

⇛ 4675/10

On multiplying and dividing with 1000 then

⇛ (4675/10)×(1000/1000)

⇛ (4675/1000)×(1000/10)

⇛ 4.675 × 100

⇛ 4.675×10²

The standard form of 467.5 = 4.675×10²

(iv) Given number = 50200000000000

⇛ 502×100000000000

On multiplying and dividing with 100 then

⇛ (502/100)×100000000000×100

⇛ 5.02 ×10000000000000

⇛5.02 × 10¹³

The standard form of 50200000000000 is

5.02 × 10¹³

(v)Given number = 0.00000005837

⇛ 5837/100000000000

On multiplying and dividing with 1000 then

⇛ (5837/1000)×(1000/100000000000)

⇛ 5.837/100000000

⇛ 5.837/10⁸

⇛ 5.837×10^-8

The standard form of 0.00000005837 is 5.837×10^-8

(vi) Given number = 71860000000

⇛7186×10000000

On multiplying and dividing with 1000 then

⇛ (7186/1000)×10000000×1000

⇛ 7.186×10000000000

⇛ 7.186×10¹⁰

The standard form of 71860000000 is 7.186×10¹⁰

Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.



4x + 2 = x + 8 PLZZZZZ

Answers

Answer:

Exactly One Solution

Step-by-step explanation:

4x + 2 = x + 8

3x = 6                Simplify.

x = 2                  Divide by 2.

Answer:

One solution, x = 2

Step-by-step explanation:

4x + 2 = x + 8 (Given)

4x = x + 6

(The 2 is subtracted from the right side, therefore the left side is also subtracted. 8 becomes 6.)

3x = 6

(The x is subtracted from the right side to the left side. Thus turning the 4x into 3x)

x = 2

(The 3 is divided out to get x alone. So, the 6 has to be divided by 3 as well, turning it into 2)

last question on the page answer correctly or don't answer at all please because this is an annoying question

Answers

ii can’t see the pic?

The roots of the equation 0 = x^3+ 2x^2– 3x are: _________.
These are the x-intercept values at these points: _________.

Answers

The answer is 1,0,-3

What power would you multiply 22 by to get an answer of 22,000? 10^3? 10^5 10^2 10^4 also i dont know how to use this app.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathbf{\boxed{\textsf{EQUATION }\rightarrow \mathbf{[?]}} \times 22 = 22,000}}[/tex]

[tex]\large\textbf{Lets solve the choices into the equation to see which}\\\large\textbf{one will fit with the answer (22,000)}[/tex]

[tex]\large\boxed{\boxed{\bf 10^3}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times10}\times\bf 22}\\\large\boxed{= \boxed{1\bf ,000}\times\bf 22}\\\large\boxed{= \bf 22,000}\\\\\\\\\large\boxed{\mathbf{22,000 = 22,000}}\\\large\text{Thus, this means Option A. could possibly be your answer.}[/tex]

[tex]\large\boxed{\boxed{\bf 10^5}\times\bf22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10\times10}\times\bf 22}\\\large\boxed{=\boxed{\bf 100\times100\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100,000}\times\bf 22}\\\large\boxed{ = \bf 2,200,000}\\\\\\\\\large\boxed{\bf 2,200,000 \neq 22,000}\\\large\text{Thus, this means Option B. isn't your answer}[/tex]

[tex]\large\boxed{\mathbf{\boxed{\mathbf{10^2}} \times 22}}\\\large\boxed{= \boxed{\bf 10\times10} \times \bf 22}\\\large\boxed{= \boxed{\bf 100}\times \bf 22}\\\large\boxed{\mathbf{= 2,200}}\\\\\\\\\large\boxed{\mathbf{2,220 \neq 22,000}}\\\large\text{Thus, this means Option C isn't your answer}[/tex]

[tex]\large\boxed{\boxed{\bf 10^4}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times100}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000}\times \bf 22}\\\large\boxed{= \bf 220,000}\\\\\\\\\large\boxed{\bf 220,000\neq 22,000}}\\\large\text{Thus, this means Option D. isn't your answer}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{10^3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

There are 32 vanilla cupcakes and 40 chocolate cupcakes at a bakery. All of the cupcakes must be placed in boxes with the same number of vanilla cupcakes and the same number of chocolate cupcakes in each box.​

Answers

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4

Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?

Answers

Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500

The profit made from each unit sold can be found as:

= Market price - Average cost

= 14 - 9

= $5

The total profit would therefore be:

= Profit per unit x Number of units sold

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at https://brainly.com/question/25531124.

R is the value of 30. What’s 10r

Answers

Answer:

the answer is 300

Step-by-step explanation:

30x10=300

If [tex] \: R = 20[/tex]

Then, [tex] \: 10r = 10 \times R \\ = 10 \times 30 \\ = 300[/tex]

Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic ​

Answers

Answer: C. linear

Step-by-step explanation:

Since the raise is going to be a constant amount, a 4% raise, the model will be linear.

Correct me if I am incorrect.

omg please help for brainlist !!!!!!!!!!!!!!!

Answers

Answer:

1a

Step-by-step explanation:

8000*0.25=2000

2000*0.25=500

500*0.25=125

...

A, or f(x) = 8,000(1/4)^x

8,000 is our starting number since number of half lives is our x, and at x = 0, remaining amount of substance is equal to 8,000. As we can see on the graph, the number decreases by a quarter of its original value every time. Since the number is not getting bigger, we use a fraction instead of a whole number. Finally, the exponent makes sure that it’s a quarter of the product from before.

Hope this helps!

URGENT!!!!!!!!!!!!!!! :

m(x) = -1/2f(x - 3) - 1

Answers

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

4.7.PS-10
Question Help
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?

Answers

Answer:

3x times 24 widgets

Step-by-step explanation:

(a) The perimeter of a rectangular parking lot is 288 m. If the width of the parking lot is 65 m, what is its length? Length of the parking lot: ​

Answers

Answer:

79 m

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + b)

=> 288 = 2(l + 65)

=> 288/2 = l + 65

=> 144 = l + 65

=> 144 - 65 = l

=> 79 = l

Hence,

Length of rectangle is 79 m

Answer:

Length of parking lot = 79m

Explanation:

2 × length + 2 × breadth = perimeter of rectangle

2 × length + 2 × 65 = 288

2 × length + 130 = 288

2 × length = 288 - 130

= 158

length = 158 ÷ 2

= 79

How can i find the answer to this?

Answers

Answer:

Step-by-step explanation:

by the property of corresponding angles (2x +16) and (3x-12) will be equal

working uot from the equation 3x-12 = 2x+16 we get x=28

and we know that 3x-12 and y are supplementry as they form a linear pair

from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108

How was
Figure A transformed
to become Figure A"?
A"
}
1.[
?
]
2.[
1
Dilate
Reflect

Answers

Answer:

reflect

Step-by-step explanation:

dilate means bigger or smaller than the original.

Rewrite 4/8 : 1/4 as a unit rate pls help

Answers

the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also

2:1

Alyssa has fifty-quarters and dimes
She has a total of $9.80
How many dimes does she have?
a.)32
b.)30
c.)20
d.)18

Answers

a. 32

hope this helps

4/3=8/x-1
Solve the equations

Answers

Answer:

= 24/7

Step-by-step explanation:

1. Find common denominator

2. Combine fractions with common denominator

3. Re-order terms so constants are on the left

Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online

Answers

A complex equation is an equation that involves complex numbers when solving it. For example, <4+3i> is a complex number. The 4 or a part is the real part of the number and the 3i or b part is the imaginary part of the number.

I will give brainlist

Answers

no clue

Step-by-step explanation:

...................

What is?..
1. 8 4/7 divided by 15?

2. How many 1/4-pound hamburgers can you make from 3 1/2 pounds of ground beef ?(In simplest form)

3. 3 divided by 1 1/5 plus 1/3? (Evaluate the expression. Write the answer in simplest form.)

4. 2/5 plus 2 1/6 divided by 5/6? (Evaluate the expression. Write the answer in simplest form.)

5. 6 1/2 - 7/8 divided by 5 11/16? (Evaluate the expression. Write the answer in simplest form.)



HURRYYYYYY PLEASEEEE.

Answers

Answers:

1. 4/7

2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

3. 2 5/6

4. 3

5. 6 9/26

Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total

Answers

Answer:

$39.36

Step-by-step explanation:

Can find how much the sales tax cost:

32 x 0.08 = $2.56

Can also find out how much he tipped:

32 x 0. 15 = $4.80

Total = $32 + sales tax + tip

Total = $32 + $2.56 + $4.80

Total = $39.36

Answer:

$39.36 in total

Step-by-step explanation:

32×0.08= 2.56

32×0.15= 4.8

4.8+2.56= 7.36

32+7.36=39.36

You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline

Answers

I’m not sure, it may be 3x2 for the equivalent expressions :/

Consider the equation 6 x 3 y = 9. Which equation, when graphed with the given equation, will form a system with infinitely many solutions? y 2 x = 3 y 2 x = 9 y = 2 x 3 y = negative 2 x 9.

Answers

The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.

Note that the coefficient of the variables may be different by a scale factor.

To get the required equation, we will divide the equation through by 3 as shown;

6x + 3y = 9

Divide through by 3;

6x/3 + 3y/3 = 9/3

2x + y = 3

Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Learn more on systems of equations here:https://brainly.com/question/847634

Answer: A

Step-by-step explanation:

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