y=3x-5 and y=1/2x+5 Write your answer as an ordered pair, (x,y).

Answers

Answer 1

use the substitution method

y=3x-5

y= 1/2x+5

3x-5= 1/2x+5

move -5 to the other side

sign changes from -5 to +5

3x-5+5= 1/2x+5+5

3x= 1/2x+10

move 1/2x to the other

3x-1/2x= 1/2x-1/12x+10

3x-1/2x= 10

find the common denominator for 3x

pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2

3x(2)/1(2)

= 6x/2

6x/2-1/2x= 10

5/2x= 10

mutiply both sides by 2/5

5/2x(2/5)= 10(2/5)

Cross out 5 and 10, divide by 5 . Then becomes 2*2= 4

x= 4

find y by using the substitution method

y=3x-5

y= 3(4)-5

y= 12-5

y= 7

Answer: (4,7)

Answer 2
Final answer:

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we can solve the system of equations simultaneously. The ordered pair is (4, 7).

Explanation:

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we need to solve the system of equations simultaneously. By setting the two expressions for y equal to each other, we can find the x-coordinate. Substituting this value back into either equation will give us the y-coordinate.

Let's set 3x-5 equal to 1/2x+5:

3x-5 = 1/2x+5

Multiplying through by 2 to eliminate the fraction:

6x-10=x+10

Combining like terms:

5x=20

Dividing both sides by 5:

x=4

Substituting this value of x into y=3x-5:

y=3(4)-5

y=12-5

y=7

Therefore, the ordered pair (x, y) is (4, 7).

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Related Questions

Which is an equivalent expression to +18- -29. A -18+ +18 B +29 + +18. C -18 - +29. D -29 - -18

Answers

Answer:

B. +29 + +18

Step-by-step explanation:

+18- -29 what you do is you make the minus signs addition because when you are subtracting a negative it becomes a positive.

+29 + +18 is your answer.

Your answer will be option B "+29 + +18." Equivalent means the same amount and according to the rules of KCC (Keep Change Change) +18 - -29 will convert into +18 + +29 which would equal 47 which is equivalent to option B.

[tex]+18 -29[/tex]

[tex]KCC=18+29[/tex]

[tex]18+29=47[/tex]

Option A -18 + 18 = 0

Option B +29 + +18 = 47

Option C -18 - +29 = -18 + -29 = -47

Option D -29 - -18 = -29 + 18 = -11

Therefore your answer is option B.

Hope this helps.

(9.75 times ten to the third power)(8.4 times ten to the negative sixth power

Answers

Answer:

9,750 and 0.0000084

Step-by-step explanation:

9.75 × 10^3= 9,750 (move decimal 3 places to the right because exponent is positive)

8.4 × 10^-6 = 0.0000084 (move decimal 6 places to the left because exponent is negative)

solve the equation.
2x-3+4x=21​

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

2x-3+4x=21

2x+4x=21+3

6x=24

x=4

Three less than eight times the number is equal to half of 16 times the number after it was increased by one

Answers

Answer:

1) The question is aimed to determine the number that Laura is trying to come up with.

Such question is solved by stating an algebraic equation from the word statement, which is done step by step.

2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3

3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)

4) Finally, since they are equal, you can set the equation:

8x - 3 =  (1/2) (16x + 1)

5) And solve for x in this way:

i) Distributive property:

8x - 3 = 8x + 1/2

ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:

-3 = 1/2 which is alwasy false, meaning that the equation has no solution.

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Step-by-step explanation:

hope it help

Laura can’t find a number that works because the equation is inconsistent and has no solution.

How to determine this unknown number?

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "Three less than eight times the number is equal to half of 16 times the number after it was increased by one," we can logically deduce the following algebraic equation;

8n - 3 = 1/2 × (16n + 1)

16n - 6 = 16n + 1

16n - 16n = 1 + 6

0 = 7 (False).

Therefore, this equation has no solution because the coefficients are the same on both sides.

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Complete Question;

Laura is now trying to come up with a number where three less than eight times the number is equal to half of 16 times the number after it was increased by one. She can’t seem to find a number that works explain why

The diameter of an ice skating rink is 44 feet. In terms of π, what is the area of the rink to the nearest square yard? (9 ft2 = 1 yd2)

Answers

Answer:

B. 54π yd^2

Step-by-step explanation:

On god it is right trust mee!    

Answer: Our required area is 54π sq. yd.

Step-by-step explanation:

Since we have given that

Diameter of an ice skating = 44 feet

Radius of an ice skating = 22 feet

as we know the formula for area :

Area would be

[tex]\pi r^2\\\\=\pi \times 22^2\\\\=484\pi\ ft^2[/tex]

As we know that

9 sq ft = 1 sq yd

So, it becomes,

[tex]\dfrac{484\pi}{9}=53.77\pi\ yd^2\approx 54\pi\ yd^2[/tex]

Hence, our required area is 54π sq. yd.

3x^2-4x+1, match the following

Answers

Answer:

x = variable

3 = coefficient

1 = constant

3x^2-4x+1 = algebraic expression

2 = degree

Step-by-step explanation:

variables are typically the letters in equations (usually x and y)

coefficients are the numbers attached to the variables

constants don't have any variables attached

algebraic expressions are the full expression

degrees are the small numbers in the top right corners on either constants, variables or coefficients

Hope this helps!

Each item matched with its description and meaning is

x = Variable3 = coefficient 1 = constant3x² - 4x + 1 = algebraic expression 2 = degree

How to match each item with its description and meaning

From the question, we have the following parameters that can be used in our computation:

3x² - 4x + 1

The above algebraic expression is a quadratic expression

This means that the degree of the equation is 2

Also, we have the expression to use the variable x

So, we have

variable = x

The constant term is the term without the variable x

So, we have

constant = 1

And the coefficient is 3

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Seven times five times six plus eight

Answers

Answer: 218

Step-by-step explanation:

.101 as a simplified fraction

Answers

The answer is 101/1000

Happy to help

Find the slope of the segment with the endpoints (1, − 1/n ) and ( n/m , − 1/m ).

Answers

(y - yo) = m.(x - xo)

Let's go

(-1/n - (-1/m)) = s.(1 - n/m)

(-1/n + 1/m) = s.(1 - n/m)

(-m+n)/mn = s.(m - n)/m

If we multiply both sides by m

(-m + n)/n = s.(m - n)

If we take the (-1) from the left side we have

(-1.(m - n))/n = s.(m - n)

And if we divide both sides by (m - n)

-1/n = s

So our slope is -1/n

What is the prime factorization of 9

Answers

Answer:3^2

Step-by-step explanation:

Find prime numbers that go into nine.

3 goes into to 9 3 times. 3 is a prime number so the prime factorization for nine is

3*3=3^2

The Prime factorization of 9 is expressed as: 3 * 3 or 3²

How to find the prime factors?

A prime factor is defined as a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on.

Now we can also use what's called prime factorization for numbers which actually consist of using factor trees.

Now, some of the factors of 9 are 1, 3, 9. Thus:

Prime factorization of 9 = 3 * 3 = 3²

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If m1=140, what is m3?
90
130
50
40

Answers

The Answer Is A 40 Degree Angle.

What is the GCF of 12 and 30?

Answers

The GCF of 12 and 30 is 6

Answer:

6

Step-by-step explanation:

i know for sure

if you want to know... well then ok

draw a diagram and put 12 and 30 on the outsides of each box than factor 12 and 30 put the numbers that they both have on each side in the middle circle and the rest on the big circles. Then multiply the numbers in the middle you get dun.. dun... dun...

6

A 20” Square is being copied at 25%. What are the dimensions of the New square after being copied?

Answers

Answer:

5"

Step-by-step explanation:

You are copying a square of side 20 inches into a smaller version of it that is exactly 25% of the original size.

Notice that 25% can be written in fraction form as: [tex]\frac{25}{100} = \frac{1}{4}[/tex]

This gives us a clue about how to reduce the original dimension: "multiply it by [tex]\frac{1}{4}[/tex], which is the same as divide it by 4:

[tex]20" * \frac{1}{4} = \frac{20"}{4} = 5"[/tex]

what are the factors of 408?

Answers

Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

plz rate Brainliest

Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

Jaxon is building a brace for a wall shelf. It is in the shape of a right triangle. He has cut one leg to be 18 inches long and the other leg to be 2 feet long. How many inches long must the last piece of lumber be?

Answers

30 inches or 2.5 feet

Answer:  The length of last piece is 30 inches.

Step-by-step explanation:

Since we have given that

Length of one leg = 18 inches

Length of other leg = 2 feet = 24 inches

As it is in the right triangle.

[tex]H^2=P^2+B^2\\\\H^2=18^2+24^2\\\\H^2=900\\\\H=\sqrt{900}\\\\H=30[/tex]

Hence, the length of last piece is 30 inches.

- 2x - 147 = 123 + 7x

Answers

-2x - 147 = 123 + 7x
Add 147 on both sides
-2x = 270 + 7x
Subtract 7x on both sides
-9x = 270
Divide -9x on both sides
X = -30

Answer:

x = -30

Step-by-step explanation:

[tex]-2x-147=123+7x\qquad\text{add 147 to both sides}\\\\-2x-147+147=123+147+7x\\\\-2x=270+7x\qquad\text{subtract }\ 7x\ \text{from both sides}\\\\-2x-7x=270+7x-7x\\\\-9x=270\qquad\text{divide both sides by (-9)}\\\\\dfrac{-9x}{-9}=\dfrac{270}{-9}\\\\x=-30[/tex]

Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equation to show how many beads Jan buys. How are the equation related?

Answers

Answer:

  - The diagram bar is attached.

  - Addition equation:  [tex]7+7+7=21[/tex]

  - Multiplication equation: [tex](3)(7)=21[/tex]

  -  How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

 Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of  beads Jan buys. This is:

[tex]7+7+7=21[/tex]

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

[tex](3)(7)=21[/tex]

The equations are related. Each one shows 3 groups of 7.

What is the GCF of 12 and 360

Answers

Answer: The GCF of 12 and 360 is 12

A moving company charges $0.70 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 5 tons. About how much would it cost the family to move from New York to Florida?

Answers

Answer:

When we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000

Solution:  

From question given data are

The amount charge per one pound when we transferring from New York to Florida = $0.70

The total amount for 5 tons when we transferring from New York to Florida  is to be found out.

We know that 1 ton = 2000 pounds.

In order to find the total amount per one ton = [tex]2000 \times 0.70[/tex]

[tex]=2000 \times \frac{70}{100}[/tex]  = 1400

The total amount per one ton = $ 1400

In the given problem the total amount per 5 ton = [tex]5 \times 1400[/tex]  = $ 7000

Hence, when we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000

Answer:

The total cost to move the belongings from New York to Florida is [tex]7000\[/tex]

Solution:

Given that,

Cost per pound to move from New York to Florida is [tex]0.70\[/tex]

Total weight of the belongings is 5 tons

To find: The total cost

The value of 1 ton in pounds is 2000

[tex]\therefore 5 tons = 2000\times 5 = 10,000 pounds[/tex]

So, the total cost to move the belongings from New York to Florida is [tex]total weight \times cost per pound[/tex].

Total cost = [tex]0.70\ \times 10000 = \frac{700000}{100} = 7000\[/tex]

In the number 21,354, which digit
has the greatest value?​

Answers

2 have the greatest value because it’s in the ten thousands place value.

In the number 21,354, the digit 2 has the greatest value.

What is the greatest or highest place value of a number?

The digit furthest to the left in a number is the greatest or highest place value. Any number other than zero could be it.

How to solve this problem?

Notice that the digit furthest to the left in the number 21,354 is 2. So, 2 has the greatest or highest place value.

Hence, In the number 21,354, the digit 2 has the greatest value.

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Chad has 6 fewer sandwiches than Sarah.chad had 7 sandwiches. how many sandwiches did Sarah made?​

Answers

Answer:

13

Step-by-step explanation:

If Chad had 7 sandwiches and that was 6 fewer than the amount Sarah has then Sarah made 6 sandwiches. The working is as follows :

Chad = 7 sandwiches (6 fewer than Sarah)

Sarah = ?

Sarah = 7 + 6 = 13 sandwiches.

In order for Chad to have eaten that many sandwiches, Sarah would have had to have made 13 sandwiches.

Sarah made x number of sandwiches and Chad ate 7 out of it.

The 7 that Chad ate remained 6 sandwiches out of the total that Sarah made.

The number of sandwiches Sarah made is therefore:

= Number that Chad ate + Number that was left

= 7 + 6

= 13 sandwiches

In conclusion, Sarah made 13 sandwiches

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If f(x) = 3x + 5 and g(x) = x-1 then f[g(-3)]

Answers

Answer:

- 7

Step-by-step explanation:

To calculate f(g(- 3)), evaluate g(- 3) then evaluate f(x) for this value

g(- 3) = - 3 - 1 = - 4, then

f(- 4) = 3(- 4) + 5 = - 12 + 5 = - 7

How do I find a translation ?

Answers

The translation rule is T

The translation is T

Simplify using the order of operations. (2 + 1) 3 ÷ 32 = 1 3 9 2

Answers

Answer:

The simplified form of \((2+1)\cdot 3\div 3^{2}\).

Find the answer to the problem -5/6 + (-1/12)​

Answers

Final answer:

To solve -5/6 + (-1/12), convert both to have a common denominator of 12, resulting in -10/12 + (-1/12). Add the numerators to get -11/12. The sum of two negative fractions maintains a negative sign.

Explanation:

To find the answer to the problem -5/6 + (-1/12), we need to add the two fractions. When adding fractions with different denominators, we first find a common denominator. In this case, the common denominator for 6 and 12 is 12. We then convert each fraction to an equivalent fraction with this common denominator.

For the first fraction -5/6, we multiply both the numerator and the denominator by 2 to get -10/12. The second fraction is already with a denominator of 12, so we keep it as -1/12. Now, we add the numerators while keeping the denominator the same:

-10/12 + -1/12 = -11/12. The sum of the two fractions is -11/12, which is already in simplest form.

This example demonstrates that when two negative numbers add, the answer has a −ve sign, and the numerators are simply added together while the denominator remains the same.

what are ratios that are equivalent to 8:20?

Answers

Answer:

2:5

Step-by-step explanation:

8:20 divided by 4 on bothe sides would equal 2:5

Final answer:

Equivalent ratios to 8:20 can be found by simplifying this ratio to its lowest terms, which is 2:5, and then scaling these numbers up or down by the same factor. Examples of equivalent ratios to 8:20 include 2:5, 4:10, 6:15, 8:20, and 10:25.

Explanation:

The question is asking for ratios equivalent to the ratio 8:20. To find equivalent ratios, we need to either multiply or divide both numbers in the ratio by the same amount. Ratios are a method of comparing quantities and numbers.

Let's start by simplifying the ratio 8:20 to its simplest form. To do this, we find the greatest common divisor of 8 and 20 which is 4. Then, divide both numbers by 4. This simplifies the ratio to 2:5.

Now that we have the simplified form of the ratio, we can find equivalent ratios by simply multiplying or dividing these numbers by any other number. For instance, multiplying by 2, we get the ratio 4:10. This is an equivalent ratio to 8:20 because the relationship between the numbers remains the same.

Here are some other equivalent ratios to 8:20: 6:15, because 2 x 3 = 6 and 5 x 3 = 15; 8:20, because 2 x 4 = 8 and 5 x 4 = 20; and 10:25, because 2 x 5 = 10 and 5 x 5 = 25.

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A recipe calls for 3 1/2 cups of flour and 3/4 cup of sugar. If you want to make the recipe with 6 cups of flour, how much sugar will you need? Show your work.

help please and thank you.

Answers

Answer:

1 2/7 cups of sugar

Step-by-step explanation:

You can use a proportion.

To make it easier to write the proportion, we rewrite the numbers as decimals.

3 1/2 = 3.5

3/4 = 0.75

Let x be the unknown amount of sugar.

3.5 cups of flour is to 0.75 cup of sugar as 6 cups of flour is to x cups of sugar.

3.5/0.75 = 6/x

Cross multiply.

3.5x = 0.75 * 6

3.5x = 4.5

x = 4.5/3.5 = 45/35 = 9/7 = 1 2/7

Please help me ASAP!Please this is due soon and i don't have all day.

Can someone please help me find the percentage change in mass of each section, using the formula


% change in mass = change in mass/starting mass × 100%


Round to the nearest hundredth!


Before-

1. 7.83 g

2. 7.4 g

3. 7.3 g

4. 7.49 g

5. 7.4 g

6. 7.89 g


After

1. 8.268 g

2. 7.24 g

3. 6.51 g

4. 7.0 g

5. 7.24 g

6. 8.51 g

Answers

Answer:

Section 1: 5.59%

Section 2: -2.16%

Section 3: -10.82%

Section 4: -6.54%

Section 5: -2.16%

Section 6: 7.86%

Explanation:

The formula to calculate the percent change in mass is given as:

[tex]PercentChange = \frac{ChangeInMass}{StartingMass}*100=\frac{NewMass - OldMass}{OldMass}*100[/tex]

1- Section 1:

Old mass = 7.83 g and New mass = 8.268 g

[tex]PercentChange = \frac{8.268-7.83}{7.83}*100 =[/tex]5.59%

2- Section 2:

Old mass = 7.4 g and New mass = 7.24 g

[tex]PercentChange = \frac{7.24-7.4}{7.4}*100 =[/tex]-2.16%

3- Section 3:

Old mass = 7.3 g and New mass = 6.51 g

[tex]PercentChange = \frac{6.51-7.3}{7.3}*100 =[/tex]-10.82%

4- Section 4:

Old mass = 7.49 g and New mass = 7.0 g

[tex]PercentChange = \frac{7.0-7.49}{7.49}*100 =[/tex]-6.54%

5- Section 5:

Old mass = 7.4 g and New mass = 7.24 g

[tex]PercentChange = \frac{7.24-7.4}{7.7.4}*100 =[/tex]-2.16%

6- Section 6:

Old mass = 7.89 g and New mass = 8.51 g

[tex]PercentChange = \frac{8.51-7.89}{7.89}*100 =[/tex]7.86%

Hope this helps :)


A tennis team has 24 members. There are twice as many girls as boys on the team. How many girls are on the tennis team?


6 girls
8 girls
12 girls
16 girls

Answers

Answer: 16 girls.

Step-by-step explanation: 16 girls means that there are 8 boys. 8+16=24.

Answer:

There are going to be 16 girls on the tennis team

If a pound of coffee costs $6, how many ounces can be bought for $3

Answers

8

Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)

You can get 8 ounces of coffee for $3
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