How many solutions does the system of equations have?
The system has infinitely many solutions.
The system has no solution.
The system has exactly one solution.

Answer:

A

Step-by-step explanation:

Right angle means that the two sides that meet to create right angle are "perpendicular".

Two perpendicular lines meet to form the angle of 90 degrees.

In coordinate geometry, how do we prove that two lines are perpendicular??

We show that their slopes are negative reciprocals of each other.

This also tells us that the angle between the two lines are "right angle".

So, we can use slope formula to show two segments have opposite reciprocal slopes, that will tell us that it is a right angle between the two segments.

Option A is right.

Answer:

1436

Step-by-step explanation:

Answer:

The number is 4

Step-by-step explanation:

Write algebraically:

n-5=-1

n=4

The number is 4

To find the number when the difference of a number and five is negative one, substitute the given values into an equation and solve for the unknown variable.

To solve the problem, let's assign a variable to the unknown number. Let's call it 'x'. The difference of a number and five can be represented as 'x - 5'. According to the problem, this expression is equal to -1. So, we can write the equation x - 5 = -1. To find x, we need to isolate it on one side of the equation. Adding 5 to both sides, we get x = 4. Therefore, the number is 4.

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Let's denote the time Charlene left City A as [tex]\( t \).[/tex]

Since Charlene took 50 minutes (or [tex]\(\frac{50}{60} = \frac{5}{6}\) hours)[/tex] to reach City B, and she arrived at the same time as Hillary, we can set up the equation based on the distances traveled by both:

For Hillary:

[tex]\[ \text{Distance}_\text{Hillary} = \text{Speed}_\text{Hillary} \times \text{Time}_\text{Hillary} \]\[ \text{Distance}_\text{Hillary} = 120 \times (t + 1) \][/tex]

For Charlene:

[tex]\[ \text{Distance}_\text{Charlene} = \text{Speed}_\text{Charlene} \times \text{Time}_\text{Charlene} \]\[ \text{Distance}_\text{Charlene} = 144 \times \left(t + \frac{5}{6}\right) \][/tex]

Since they traveled the same distance, we can equate these two expressions:

[tex]\[ 120 \times (t + 1) = 144 \times \left(t + \frac{5}{6}\right) \][/tex]

Now, solve for \( t \):

[tex]\[ 120t + 120 = 144t + 120 \]\[ 24t = 120 \]\[ t = 5 \][/tex]

So, Charlene left City A at 5:00 a.m.

Answer:

  subtract one from the other

Step-by-step explanation:

You find the difference between points the same way you find any difference: you subtract one from the other.

Points are generally described by an ordered pair. When you subtract one point from the other, you subtract corresponding parts of the ordered pair:

  (a, b) - (c, d) = (a-c, b-d)

__

Sometimes, when you're interested in finding the difference between points (x, y), you want to do something different with the y-difference than you do with the x-difference.

For example, the slope of a line is calculated as the ratio of the y-difference to the x-difference. The length of a line segment is the root of the sum of the squares of the differences.

Answer:

x=15

Step-by-step explanation:

x/5 =3

Multiply each side by 5

x/5 *5 = 3*5

x = 15

Answer:

154

Step-by-step explanation:

This ones tough so im not sure but try it. I hope this helps

Answer: 3

Step-by-step explanation: Your equation is p- (-9)=12. A negative plus a negative is a positive. So the equation is basically p+9=12. 12 minus 9 is 3 and that's the answer!

Answer:

20

Step-by-step explanation:

$2.50 x 12 equals 30

2.50 x 20 equals 50

x10= 2.50 x 20 =$50

Final answer:

To find the ratio of green to total skittles, divide the number of green skittles by the total number of skittles and simplify the fraction. The ratio of green to total skittles is 1:5.

Explanation:

To find the ratio of green to total skittles, we need to divide the number of green skittles by the total number of skittles and simplify the fraction.

Ratio = Number of green skittles / Total number of skittles

Ratio = 13 / 65

Since 13 and 65 are both divisible by 13, we can simplify the fraction to:

Ratio = 1 / 5

Therefore, the ratio of green to total skittles is 1:5.

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)

Answer:

x = [tex]\frac{1}{11}[/tex]; y = [tex]\frac{-60}{11}[/tex]

Step-by-step explanation:

x = -2y + 11 so x + 2y = 11                                                        (1)

12x - 6y = 12 so 6x - y = 6                                                            (2)

(1) - 2(2) ↔ (x + 2y) - 2(6x - y) = 11 - 2(6)

↔ - 11x = - 1

↔ x = [tex]\frac{1}{11}[/tex]

(2) ↔ y = 6x - 6 = 6([tex]\frac{1}{11}[/tex]) - 6 = [tex]\frac{6}{11}[/tex] - 6 = [tex]\frac{-60}{11}[/tex]

Brainliest???

Answer:

y = 4/3x - 12

Step-by-step explanation:

Use Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the slope

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = [tex]\frac{-4 - (-8)}{6 - 3}[/tex]

m = [tex]\frac{-4 + 8}{3}[/tex]

m = [tex]\frac{4}{3}[/tex]

Step 2:  Plug into point slope form

(y - (-4)) = 4/3(x - 6)

y + 4 = 4/3x - 24/3

y + 4 - 4 = 4/3x - 8 - 4

y = 4/3x - 12

Answer:  y = 4/3x - 12

Answer:

36 inches

Step-by-step explanation:

since there are 12 inches in one foot, just do 12 x 3 which equals 36.

Answer:

yes it is

Step-by-step explanation:

f(x) or g(x) are functions

Answer:

It is False

Step-by-step explanation:

I tried true and got it wrong

That would be the line of best fit.

The line of best fit is a straight line that best represents the data on a scatter plot.

Hope that helps, :)

Each drink costs $3.25 and each popcorn costs $8.

Step-by-step explanation:

Step 1:

Assume each drink costs x dollars and each popcorn costs y dollars.

From the given data, we can write the following equations;

[tex]12x + y = 47[/tex], take this as equation 1,

[tex]3x+9y=81.75[/tex], take this as equation 2.

Step 2:

We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get

[tex]3x+9y = 81.75[/tex], take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.

[tex]-35y = -280, y = \frac{280}{35} = 8[/tex]

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y is substituted in equation 1.

[tex]12x+8 = 47, 12x= 39[/tex],

[tex]x=\frac{39}{12} = 3.25[/tex]

So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.

Answer:

The amount of thistle bird seed she purchased was 7.5 pounds

Step-by-step explanation:

Let

x ----> the amount in pounds of thistle bird seed she purchased

x ----> the amount in pounds of wild bird seed she purchased

we know that

Kate bought $23.40 worth of two types of bird seed.

so

[tex]1.60x+0.95y=23.40[/tex] ----> equation A

She bought 12 pounds of wild bird seed

so

[tex]y=12\ pounds[/tex]

substitute the value of y in the equation A

[tex]1.60x+0.95(12)=23.40[/tex]

solve for x

[tex]1.60x=23.40-11.40\\1.60x=12\\x=7.5\ pounds[/tex]

therefore

The amount of thistle bird seed she purchased was 7.5 pounds

Kate bought 7.5 pounds of thistle bird seed.

Since Kate bought $ 23.40 worth of two types of bird seed, thistle bird seed sells for $ 1.60 per pound and wild bird seed sells for $ 0.95 per pound, if she bought 12 pounds of wild bird seed, to find the amount of thistle bird seed she purchased, the following calculation must be performed, through a linear function:

Therefore, Kate bought 7.5 pounds of thistle bird seed.

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Answer:

80°

Step-by-step explanation:

A triangle = 180° total.

Because it is a parallelogram, 40° is also the measure of BCE.

180° - 60° - 40° = 80°

BEC = 80°

Answer:

D

Step-by-step explanation:

Both equations are same

Answer:

D. 3x - 5 = -5 + 3x

Step-by-step explanation:

3x - 5 = -5 + 3x

3x = 3x

x = x (Infinitely many solutions)

Equation is y = -1/4x + 5

Step-by-step explanation:

⇒ y = -1/4x + 5

Answer:

350 Miles

Step-by-step explanation:

140/40   =    x/100

x = 350

350 Miles

Answer:

So, the answer is 175 but in an expression it is 25x where x would be the height in this situation it is 7.

Step-by-step explanation:

So basicly if there is 25 units and there are 7 layers of that 25 units you would multiply 7 by 25 to get 175.

Hence, in an expression it would be 25x where x would be 7

Answer:

Option B.

Step-by-step explanation:

A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

s + t = 934

8s + 5t = 5,933

The solution to the system is (421, 513).

So, The number of sweatshirts = 421

And the number of t-shirts = 513

Because 8 * 421 + 5 * 513 = $5,933

We will check the options:

A. The store ordered 513 sweatshirts and 421 t-shirts.  ⇒Wrong

B. The store ordered 421 sweatshirts and 513 t-shirts.  ⇒True

C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

So, the answer is option B.

Answer:

Step-by-step explanation:

Independent Variable (IV):  Special college preparation program

How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.

Dependent variables (DV): Math placement scores of college applicants

How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.

Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).

Hypothesis:

If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.

Final answer:

The independent variable in the study is whether college applicants have taken a special college preparation program or not, with the dependent variable being the math placement scores. A potential hypothesis could be that applicants who took the program will achieve higher math scores.

Explanation:

Independent Variable (IV): The independent variable in this study is whether college applicants have taken a special college preparation program or not.

Dependent Variable (DV): The dependent variable is the math placement scores of the college applicants.

Hypothesis: A possible hypothesis could be 'College applicants who have taken a special college preparation program will have higher math placement scores compared to those who have not taken the program.'

Answer:

Part A = 64 feet

Part B = 79 feet

Step-by-step explanation:

Part A

10 × 2 = 20 = Diameter

Formula is C = π × diameter

20 × π = 62.8318530718 feet = 64 feet

Part B

25 × 2 = 50

Same formula

50 × π = 157.079632679 feet

157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet

divide by 2 because it is a semi circle

Hope his helped :)

For the circular garden with a radius of 10 feet, 63 feet of edging is required. For the semicircular garden with a radius of 25 feet, 129 feet of edging is needed. These figures are obtained by calculating the circumference of a circle and a semicircle, then rounding to the nearest whole number.

To find out how much edging is needed for the gardens, we need to calculate the circumference of the circles.

Part A

The formula for the circumference of a circle (which is the distance around the edge) is 2πr, where π (pi) is approximately 3.14, and r is the radius. For a circle with a radius of 10 feet, the circumference is:

2 × 3.14 × 10 feet = 62.8 feet

Rounded to the nearest whole number, we need 63 feet of edging for the garden.

Part B

For a semicircle with a radius of 25 feet, the circumference is half that of a whole circle, plus the diameter (which is 2 × radius). So, first calculate the circumference of the whole circle and then divide by 2 and add the diameter:

(2 × 3.14 × 25 feet) / 2 + 2 × 25 feet = 78.5 feet + 50 feet = 128.5 feet

Rounded to the nearest whole number, we need 129 feet of edging for the semicircular garden.