Describe and correct the error in rewriting the equation

2x - y=5
Y= -2x+5

Answer:

AC= 6 cm

Step-by-step explanation:

It is given that ABCD is a trapezoid

Also AC divides the trapezoid into two similar triangles

ΔABC≈ΔDCA

The ratio of corresponding sides of similar triangles are equal, so we have

[tex]\frac{AB}{CD} =\frac{BC}{AC} =\frac{AC}{AD}[/tex]

now we can take

[tex]\frac{BC}{AC} =\frac{AC}{AD}[/tex]

[tex]\frac{4}{AC} =\frac{AC}{9}[/tex]     ( since BC=4 and AD= 9)

now we cross multiply

[tex]4(9)=AC^{2}[/tex]

[tex]AC^{2}=36[/tex]

[tex]AC=\sqrt{36}[/tex]    (taking square root )

AC= 6 cm

Answer:

Equation of the line with m=3  and b = 8.25 is y=3 x+8.25

Step-by-step explanation:

m = 3 and b = 8.25

To get equation of line we use y=mx+b

Where m represents the slope = 3

b represents the y intercept = 8.25

Plug in the values in y=mx+b

y= 3x + 8.25

Equation of the line with m=3  and b = 8.25 is y=3 x+8.25

Answer:

y = 3x + 8.25

Step-by-step explanation:

y = mx + b

y = 3x + 8.25

To find the side length of Rachael's square patio with an area of 290 square feet, you have to take the square root of the area. The square root of 290 is approximately 17. So, the side length of the patio is approximately 17 feet.

The subject at hand pertains to the geometry and area calculation of a square. In a square, all sides are equal. Thus, to find the side length when only given the area, you can simply take the square root of the area. The square root of 290 is approximately 17. Therefore, Rachael's patio has a side length of approximately 17 feet, making option C the correct answer.

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Answer:

She spent around 20$

Step-by-step explanation:

add all whole numbers and estimate the cents.

Answer:

$20.00  

Step-by-step explanation:

  $2.85 =   3.00  - 0.15

  $5.11   =   5.00 + 0.11

  $7.89 =   8.00 + 0.11      Mentally cancel the 0.11s

  $4.15 =   4.00 + 0.15     Mentally cancel the 0.15s

TOTAL = 20.00 + 0.00

TOTAL = $20.00

Answer:

1: 6

2: 1,2,3

3: 4m-1>5m-4

4: Not enough data

5: n = 11

6: The ceiling is lower than 3m

7: G = 7

8: C = 18

9: p + 18 = 41; p = 23

10: D = 100t

Step-by-step explanation:

Question 1:

5*2+x/2-7

5*2+6/2-7

10+6/2-7

10+3-7

13-7

6

Question 2:

4*2<16

8<16 True

4*1<16

4<16 True

4*3<16

12<16 True

4*4<16

16<16 False

Question 3:

Let's plug in 1 for m

4*1-1____5*1-4

4-1_____5-4

3_____1

3>1

Question 4:

You did not give an equation, so I cannot answer.

Question 5:

2*11 + 5 =27

22 + 5 = 27

27 = 27

So n = 11

Question 6:

x<3

The ceiling is lower than 3m because x<3

Question 7:

5.1g = 35.7

5.1g/5.1=35.7/5.1

g = 7

Check: 5.1 * 7 = 35.7

Question 8:

36 + c = 54

36 + c -36 = 54 - 36

c = 18

Check: 36 + 18 = 54

Question 9:

p + 18 = 41; p = 23 is correct because the number of paperback books plus the number of hardcover books would equal the total number of books sold. Check: 23 + 18 = 41

Question 10:

d=100t is correct because each time t goes up one it goes up 100. Example: if it is at one hour, than it is 100, if it is at 3 hours, than d = 100*3 = 300, which is the same pattern as the table.

Hope this helps!

The expression 5x² + x - 7 is calculated by substituting x with 6. Inequality and equation solving techniques are used to find the solutions to 4n < 16, 4m - 1 compared to 5m - 4, and other given problems, resulting in specific numerical solutions and identifying suitable real-world scenarios like a ceiling height represented by x < 3.

To solve the expression 5x² + x
- 7 where x equals 6, we substitute and get 5(3)² + (3) - 7 = 45 + 3 - 7 = 41.

The solutions to the inequality 4n < 16 from the set {1,2,3,4} are 1, 2, and 3, since 4 times each of these is less than 16.

Comparing the expressions when m = 3, we get 4m - 1 and 5m - 4. Substituting we have 12 - 1 < 15 - 4, thus 11 < 11, which is false, so 4m - 1 = 5m - 4.

The inequality 15 > w is only true for w = 14. Values w = 15 and w = 21 do not satisfy the inequality.

In the equation 2n + 5 = 27, solving for n within the replacement set gives n = 11 as the correct solution.

The inequality x < 3 represents a situation where The ceiling is lower than 3 m.

To solve 5.1g = 35.7, divide both sides by 5.1 to find g = 7.

For the equation 36 + c = 54, subtract 36 from both sides to get c = 18.

Cassandra's situation is best represented by the equation p + 18 = 41, resulting in p = 23 paperback books sold.

The relationship between the distance d and time t from the truck table is d = 100t, since distance is increasing by 100 kilometers every hour.

Answer:the last one, 25 tenths

Step-by-step explanation:

Answer:

b:1/10

Step-by-step explanation:

In 1 hour and 30 minutes the water level increased by 15 inches. If we simplify that, we get 10 inches for every hour. The correct answer is b.

Hope this helps!

Can I please have brainliest? I only need one more!

The formula of a volume of a cylinder:

[tex]V_{cylinder}=\pi r^2H[/tex]

r - radius

H - height

We have the diameter d = 8 in and height H = 9 in.

[tex]d=2r\to r=d:2\to r=8\ in:2=4in[/tex]

Substitute:

[tex]V_{cylinder}=\pi(4^2)(9)=\pi(16)(9)=144\pi\approx144\cdot3.14=452.16\ in^3[/tex]

The formula of a volume of a cone:

[tex]V_{cone}=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have the diameter d = 8 in → r = 4 in and the height H = 18 in.

Substitute:

[tex]V_{cone}=\dfrac{1}{3}\pi(4^2)(18)=\pi(16)(6)=96\pi\approx96\cdot3.14=301.44\ in^3[/tex]

[tex]\dfrac{V_{cylinder}}{V_{cone}}=\dfrac{452.16}{301.44}=1.5[/tex]

The volume of the cylinder is one and a half times larger than the volume of the cone.

If the cylinder and the cone have equal radii and heights then the volume of the cylinder is three times greater than the volume of the cone.

[tex]V_{cone}=\pi r^2H\\\\V_{cylinder}=\dfrac{1}{3}\pi r^2H\\\\\dfrac{V_{cylinder}}{V_{cone}}=\dfrac{\pi r^2H}{\frac{1}{3}\pi r^2H}=\dfrac{1}{\frac{1}{3}}=3[/tex]

The formula of a volume of a cylinder:

r - radius

H - height

We have the diameter d = 8 in and height H = 9 in.

Substitute:

The formula of a volume of a cone:

r - radius

H - height

We have the diameter d = 8 in → r = 4 in and the height H = 18 in.

Substitute:

The volume of the cylinder is one and a half times larger than the volume of the cone.

If the cylinder and the cone have equal radii and heights then the volume of the cylinder is three times greater than the volume of the cone.

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Answer:

Alright well solve by cross multiplying

x = 15 Hope this helps have a nice day :)

Step-by-step explanation:

Now if u want i can explain with detail.

Answer: x is less than or equal to -4.25

Step-by-step explanation:

Since the dot on the number line is filled in it is either a less than or equal to or a greater than or equal to. Because the line is going more into negative or descending, it is less than or equal to.

Answer:

x is less than or equal to -4.25 (the third option)

(x, y) = (-7, 2)

Divide the second equation by 4 and add it to the first.

... (-x) +(4)/4 = (-6y+19) +(-4x -12y)/4

... -x +1 = -9y -x +19 . . . . simplify

... 9y = 18 . . . . . . . add 9y +x -1

... y = 2 . . . . . . . . . divide by 9

... -x = -6·2 +19 = 7

... x = -7

The solution is (x, y) = (-7, 2).

Answer:

The median is four.

Step-by-step explanation:

First you put the numbers in order from least to greatest and write the number as many times as indicated.

2 2 2 3 4 4 4 4 6 6 7 7 7 8 9

then start from one side then go to the other crossing out numbers. So cross out a two, then nine, then another two, then eight, then the last two, then the first seven and so on. When your done you should be left with one middle number, in this case it's four.

Answer is provided in the image attached

[tex]Similar:\\\\\triangle STU\sim\triangle QPR\qquad \boxed{SAS}\to side-angle-side\\\\m\angle SUT=m\angle QRP\\\\\dfrac{10}{4}=\dfrac{20}{8}\\\\L_s=\dfrac{10}{4}=\dfrac{10\cdot2}{4\cdot2}=\dfrac{20}{8}=R_s\\-------------------------------[/tex]

[tex]\text{Not similar or not necessarily similar}\\\\180^o-(90^o+30^o)=180^o-120^o=60^o\neq50^o\\\\\text{different angles}\\-------------------------------[/tex]

[tex]Similar:\\\\\triangle ABC\sim\triangle FED\qquad\boxed{SSS}\to side-side-side\\\\\dfrac{15}{5}=\dfrac{12}{4}=\dfrac{9}{3}\\\\3=3=3\\-------------------------------[/tex]

Answer:

Step-by-step explanation:

except for m = 0 or 1 these two numbers are going to be prime to each other. I cannot think of any example where that statement is not true.

So the lowest common multiple  is m* (m + 1)

Answer:

B 12

Step-by-step explanation:

Since f(6)  means we want to evaluate the function when x=6

We will want to use f(x) =2x  because  5<= 6 <10

f(6) = 2*6

f(6)=12

f(x) = x   when 2 ≤ x < 5

So you can use this function if "x" is greater than or equal to 2 and less than 5

f(x) = 2x   when 5 ≤ x < 10

You can use this function if "x" is greater than or equal to 5 and less than 10

f(6) This means that x is 6, so you can plug in 6 for "x" in the equation.

You use the second function because 6 is greater than 5 and less than 10

f(x) = 2x

f(6) = 2(6)

f(6) = 12     Your answer is B

Answer:

Angle x = 60.1 degrees

Step-by-step explanation:

Given : height of the ladder is 15 ft that is the hypotenuse

The top of the ladder is  13ft off the ground.

That is the oppposite side of angle x

Since this forms a right angle triangle we use trigonometric ratios to find x

We know the opposite side and the hypotenuse

sin(x) = opposite / hypotenuse

[tex]sin(x) = \frac{13}{15}[/tex]

[tex]x = sin^{-1}(\frac{13}{15})[/tex]

x= 60.073565

Angle x = 60.1 degrees

check the picture below.

make sure your calculator is in Degree mode.

To find the value of n that makes the equation true, simplify the equation and solve for n by combining like terms and isolating n on one side of the equation.

To find the value of n that makes the equation true, we need to solve for n. Let's simplify the equation step by step:

First, distribute the 4 to the terms inside the parentheses: 4(0.5n - 3) = n - 0.25(12-8n)

This becomes: 2n - 12 = n - 3 + 2n

Now, combine like terms: 2n - n - 2n = 3 - 12

Simplifying further, we have: -n = -9

Finally, divide both sides of the equation by -1 to solve for n: n = 9

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Answer: y = 0

Step-by-step explanation: Since the degree of the numerator is lower than the degree of the denominator, the horzontal asymptote is 0.

Answer:

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

Step-by-step explanation:

note that BC is perpendicular to AB, hence the slope of BC is the negative reciprocal of the slope of AB

[tex]m_{BC}[/tex] = - [tex]\frac{1}{2/3}[/tex] = - [tex]\frac{3}{2}[/tex]

8+1/82, 882/100 so you get 8 and 1/82

The multiplication of two or more quantities is expressed as the "product" of those quantities. In dimensional analysis, multiplying a quantity by unit conversion factors that are equal to 1 does not change that quantity's value. This is a fundamental principle used in various fields to ensure unit consistency.

The multiplication of two or more quantities may be expressed as the product of the same quantities. When we multiply numbers and units, we apply the mathematical operation to both, resulting in a new number and a combined unit of measurement. For example, if we multiply 86 inches by some quantity in centimeters (cm), the number part gets multiplied to yield the numerical product, and the units inch (in) and centimeter (cm) are multiplied to give a unit product in inches times centimeters (in×cm).

Moreover, in dimensional analysis, we use conversion factors that equate to 1 to change from one unit to another without changing the quantity's value. For example, since 100 centimeters (cm) is equivalent to 1 meter (m), we can create a conversion factor of 1 by writing 100 cm over 1 m or vice versa. This concept is vital for ensuring the consistency of units when performing multiplications or divisions in various fields, including economics, engineering, and physics.

When dealing with expressions, multiplication can also be viewed as a reversal of the distributive law, transforming addition or subtraction statements into a set of multiples or factors that produce an equivalent value.

Answer: The revenue can be $405 or it can be larger than this value.

In short, the revenue must be at least $405.

======================================

Explanation:

Let R be the possible revenue. We want the profit to be at least $250, so we want the profit to be 250 or more

Recall that profit is equal to revenue minus expenses, so

Profit = Revenue - Expenses

Profit = R - 155

The expression R - 155 represents the profit (R is just a placeholder for a number). We want R - 155 to be 250 or larger, so,

[tex]R - 155 \ge 250[/tex]

[tex]R - 155 \ge 250[/tex]

[tex]R - 155+155 \ge 250+155[/tex] add 155 to both sides

[tex]R \ge 405[/tex]

As long as the revenue is $405 or higher, then the profit will be at least $250

Final answer:

To meet a profit goal of at least $250 with expenses of $155, the friend must generate revenues of at least $405 in the first month.

Explanation:

To calculate the possible revenues needed to achieve at least a $250 profit for the first month, we need to consider both the expenses and desired profit. The calculation is straightforward: Revenue = Expenses + Desired Profit. Here, the expenses are $155, so the calculation is Revenue = $155 + $250, which equals $405. Therefore, to meet the profit goal of at least $250, your friend must generate revenues of at least $405 in the first month.

The equation for the amount of money that Morgan has now is 16.31+m = 40

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, Morgan needs to earn $16.31 more to have $40.00, we need to establish an equation to find the amount of money Morgan need,

Let the required money be m,

So, the equation will be

16.31+m = 40

m = 40-16.31

m = 23.69

Hence the  equation for the amount of money that Morgan has now is 16.31+m = 40

Learn more about equations, click;

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Morgan currently has $23.69. An equation m + 16.31 = 40.00 is set up and solved by subtracting $16.31 from $40.00 to find the value of m.

We can set up the equation m + 16.31 = 40.00. This equation translates the fact that Morgan needs $16.31 more to have $40.00. Therefore, by performing a basic subtraction (40.00 - 16.31), we can solve for m.

Step 1: Write the equation: m + 16.31 = 40.00.
Step 2: Subtract 16.31 from both sides of the equation to isolate m: m = 40.00 - 16.31.
Step 3: Perform the subtraction to find m: m = 23.69.

This method is a straightforward way to solve for the current amount of money that Morgan has.

3x-5y=n

3x-5y=1

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

Answer:

-.37

Step-by-step explanation:

PLZZZZ MARK BRANIEST I REALLY NEED IT!!!!

Answer:

-.37

Step-by-step explanation:

that 3 /1 is 3 that

Answer:

The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

The student's question involves choosing between a flat rate of $500 or an hourly rate of $20 for a contractor's job. The better option depends on the number of hours worked compared to the flat rate. Calculations must be made to determine which method yields a higher payment.

The student's question is related to making a decision on a contractor's billing method.

The decision involves choosing between a flat rate of $500 or billing at an hourly rate of $20 per hour for a completed job. To determine which option is more advantageous, the contractor would need to calculate the total earnings based on the number of hours worked and compare it against the flat rate.

For instance, if the contractor works 10 hours, the payment at the hourly rate would be 10 hours × $20/hour = $200. Since $200 is less than the flat rate of $500, the hourly rate would be the better choice in this case. However, if the contractor works for 30 hours, the payment at the hourly rate would be 30 hours × $20/hour = $600, which is more than the flat rate, making the flat rate the better option.

Answer:

He bought 12 cans of soup

Step-by-step explanation:

We can use a ratio to solve this problem.

$10            $40

----------- = --------------

3 cans        x cans

Using cross products

10* x = 3 * 40

10x = 120

Divide by 10

10x/10 = 120/10

x = 12