which graph shows a system of equations that solve -2/x-1=4, and the solution itself

Answer:

3 months

Explanation:

Amount saved in Gina’s saving account= 250

Amount Gina puts  in her account each month= 4% of 3100

=[tex]\frac{4}{100} \times 3100[/tex]

= 4 × 31

= 124

Hence total amount  added in each month =124

Therefore money credited x months

= 250 + 124 x

Amount saved in Rodger’s account = 350

Amount Rodger puts in his account each month = 3% of 2900

=[tex]\frac{3}{100} \times 290[/tex]

=87

Hence total amount added in each month = 87

Therefore money credited x months

=350 + 87 x

Now to calculate the nearest month when Gina have more in her account than Rodger does

=Amount of money credited in x months in Gina’s account ≥  Amount of money credited in x months in Rodger’s account

=250+124 x ≥ 350+87 x

=37 x≥100

= x≥2.78

=3

Final answer:

To find the milliliters of acid in the solution, multiply the total volume of the solution by the acid percentage.

Explanation:

To find the milliliters of acid in the solution, we first need to calculate the volume of acid. We know that 13.2% of the solution is acid, so we can calculate the volume of acid by multiplying the total volume of the solution by the acid percentage:

Volume of acid = 357 mL * 0.132 = 47.124 mL

Rounding to the nearest tenth, we get:

Volume of acid = 47.1 mL

Answer:

193 packets

Step-by-step explanation:

Each morning they order with a shipping fee of $10 daily.

Considering they order all 7 days of the week, so the total shipping fee for the week would be:

7 * $10 = $70

Their budget for the week is $554, out of which $70 is for shipping for the week, so remaining balance would be:

554 - 70 = $484

This 484 dollars are for coffee packets that cost $2.50 each, so the number of packets would be:

484/2.50 = 193.6

You can't order fractional packets so 193 packets is the max in this budget

Answer:

A

Step-by-step explanation:

An ordered pair is a point on a coordinate graph that represents data. The x represents an independent variable and the y a dependent. Your y is your vertical axis. Each square on this graph represents 50 feet. The line on your graph hits the intersection between 2 minutes and 100 feet. Therefore (2,100) Is an ordered pair

Answer:

3.98/16= 0.24875 round up to make 0.25

5.98/32= 0.186875 round up to make 0.19

34.99/128= 0.273359375 = 0.27

Step-by-step explanation:

3.98/16= 0.24875 round up to make 0.25

5.98/32= 0.186875 round up to make 0.19

34.99/128= 0.273359375

The correct equation for the booster club aiming to earn $200 per match from student and adult tickets priced at $4 and $8, respectively, is 4x + 8y = 200. This represents the sum of $4 per student ticket (x) and $8 per adult ticket (y) sold to reach the goal.

To solve the problem presented by the high school soccer booster club, we need to formulate a linear equation that represents their goal for ticket sales revenue from students and adults. The tickets are priced at $4 for students and $8 for adults. If we let x represent the number of student tickets sold and y the number of adult tickets sold, the total revenue T would be expressed as the sum of $4 per student ticket and $8 per adult ticket.

The booster club aims to earn $200 per match, which gives us the equation for their goal: 4x + 8y = 200. Here, the 4 and 8 are the prices of the tickets for students and adults, respectively, and x and y are the numbers of tickets sold. This clearly aligns with option b from the choices you've provided.

To illustrate with an example similar to your situation, a tutoring school equation of y = 3000x + 500  combines a one-time enrollment fee of $500 with a tuition of $3000 per year. In this case, y represents the total cost of attendance and x the number of years a student is enrolled.

Answer:

36 cm

Step-by-step explanation:

We know that the perimeter is 2 l + 2 w.

In this case, the equation is 36 + 2 w = 108

2 w = 72

w = 36

Answer:

b = 8 your welcome

Answer:

2x + 2(x - 5) = 78

x + x - 5 = 39

2x = 44

x = 22

Rate of the slower cyclist = 17 mph

Rate of the faster cyclist = 22 mph

Answer:

Initial value (y-intercept) of each function.

Rate of change (slope) of each function.

Initial value to compare starting points.

Slope to compare rise or fall. (Answer)

Step-by-step explanation:

Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Therefore, I included in the response  

Initial value (y-intercept) of each function.

Rate of change (slope) of each function.

Initial value to compare starting points.

Slope to compare rise or fall. (Answer)

Answer:

24(x+2)

Step-by-step explanation:

24 can be pulled from both 24 and 48

Answer:

k = -5

Step-by-step explanation:

2(7k + 1) - 5(3k + 3) = 1 - 2k + 6 + 5k

At first, we will break the parenthesis by multiplying by the adjacent number. As we know, (+) x (-) = (-) and (-) x (-) = (+) [Algebraic operation]

or, (2*7k) + (2*1) - (5*3k) - (5*3) = (1 + 6) + 5k - 2k

or, 14k + 2 - 15k - 15 = 7 + 3k

Interchanging the values, we can get,

or, 14k - 15k - 3k = 7 + 15 - 2

or, 14k - 18k = 22 - 2

or, -4k = 20

or, k = 20/(-4)

or, k = -5

Therefore, the answer is -5

Answer:

Step-by-step explanation:

Yeah it right thank sweetheart

The original width of the rectangle is 8 cm and the original length is 18 cm. These dimensions are found by setting up an equation based on the change in area when both dimensions are reduced by 2 cm.

Finding Original Dimensions of a Rectangle

Let's denote the width of the rectangle as w, and the length will then be w + 10 cm. The area of the original rectangle is w(w + 10) square centimeters. Now, by decreasing each dimension by 2 cm, the new width becomes w - 2 cm and the new length becomes (w - 2) + 10 cm = w + 8 cm. The area of the new rectangle is (w - 2)(w + 8) square centimeters.

The problem states that the area of the rectangle is decreased by 48 cm2 when the dimensions are reduced. This gives us the equation:

w(w + 10) - (w - 2)(w + 8) = 48

Expanding the terms and solving for w will provide us with the width of the original rectangle. After finding w, we can calculate the original length by adding 10 cm to the width. To solve for w, we proceed with the calculation:

[tex]w_2 + 10w - (w_2[/tex] + 6w - 16) = 48

w2 + 10w - w2 - 6w + 16 = 48

4w + 16 = 48

4w = 32

w = 8 cm.

Therefore, the original width is 8 cm and the original length is 18 cm (that is, 8 cm + 10 cm).

Answer:

draw a square

Step-by-step explanation:

draw a square then write 32mm on all sides

draw a triangle  with a wide bottom a small side a medium side

Answer:

33 Students

Step-by-step explanation:

4+7=11 so the number of students in the class must be a multiple of 11. The only multiple of 11 between 24 and 40 is 33.

Answer:

33

Step-by-step explanation:

Let's take the constant of proportionality to be X

4x+7x=between 24 to 40

11x= 24 to 40

X should be a natural number therefore the number of students should be multiple of 11

Only multiple of 11 between 24 and 40 is 33

Answer:

D. All answers are correct

Step-by-step explanation:

The film The Birth of a Nation promoted the KKK.

There was pseudo-scientific racism also going on.

From these two facts, we know that the answer definitely is D. Also, generally when there is "All of the above" as an answer, "All of the above" is correct.

Answer:

30

Step-by-step explanation:

Simplify from left to right

6-3+15-1+8+11-6

=3+15-1+8+11-6

=18-1+8+11-6

=17+8+11-6

=25+11-6

=36-6

=30

Answer:

slope = - 2, y- intercept = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 6x + 3y = - 3 into this form by subtracting 6x from both sides

3y = - 6x - 3 ( divide all terms by 3 )

y = - 2x - 1 ← in slope- intercept form

with slope m = - 2 and y- intercept c = - 1

Answer:

20 cups

Step-by-step explanation:

16 ounces = 1 pound

8 ounces = 1 cup

16 ounces = 2 cups

1 pound = 2 cups

10 pounds = 20 cups

Answer:

20 cups

Step-by-step explanation:

Think

1 pound is 16 oz

So each cup has 8 oz

This you have to convert the 10 pound into ounces

Which then equals 160 ounces

Now divide 160 ounces by 8 and you get..

You get 20

So, 10 pounds of apples fit into 20 cups

Answer:

4

Step-by-step explanation:

36 / 9 = 4

4 x 9 = 36

Answer:

x= 10

Step-by-step explanation:

45-15=30

30/3=10

Answer: c) 1 unit

Step-by-step explanation: Because if u take the scale factor and multiply it by 3

Answer:

C:  1 unit

Step-by-step explanation:

(3 units) times scale factor (1/3) comes out to (1/3)(3 units), or 1 unit.

The correct answer is C:  1 unit.

Answer:   (x-7)/(x-5)

The (x+1) terms divide and cancel out due to the rule that x/x = 1, when x is nonzero. In that rule, we can replace 'x' with any algebraic expression we want.

Answer:

The margin of error is 1.85 cm to 1.95 cm.

Step-by-step explanation:

Given:

Will measured the diameter of a penny as 1.9 cm using the ruler.

We need to find the margin error.

Now, as we know that the margin of error is a statistic expressing the amount of random sampling error in a survey's results.

It is an amount (usually small) that is allowed for in case of miscalculation or change of circumstances.

Now, we have the margin of error to be:

1.85 cm to 1.95 cm.

As, the value of change to the left and right of 19 is same and is small it is 0.05.

So, 1.9-0.05 = 1.85 cm

and 1.9+0.05 = 1.95 cm .

Hence, the margin of error is: ± 0.05.

Therefore, the margin of error is 1.85 cm to 1.95 cm.

To prove that 3(x+1)(x+7)-(2x+5)² is never positive, we can expand and simplify the expression to -x²+4x-4, which is always negative.

To prove that 3(x+1)(x+7)-(2x+5)² is never positive, we can use algebraic manipulation and properties of quadratic equations. Let's expand and simplify the expression:

3(x+1)(x+7)-(2x+5)² = 3(x²+8x+7)-(4x²+20x+25) = 3x²+24x+21-4x²-20x-25 = -x²+4x-4

Since the leading coefficient of the quadratic term is negative (-1), the graph of this equation will be a downward-opening parabola. Therefore, the quadratic expression is never positive.

The expression [tex]\(3(x+1)(x+7)-(2x+5)^2\)[/tex] is never positive for all real values of x.

Step 1

To prove that [tex]\(3(x+1)(x+7)-(2x+5)^2\)[/tex] is never positive for all real values of x, we can simplify the expression and analyze its sign.

Expanding the expression:

[tex]\[3(x+1)(x+7)-(2x+5)^2 = 3(x^2 + 8x + 7) - (4x^2 + 20x + 25)\][/tex]

[tex]\[= 3x^2 + 24x + 21 - 4x^2 - 20x - 25\][/tex]

[tex]\[= -x^2 + 4x - 4\][/tex]

Step 2

Now, we have a quadratic expression [tex]\( -x^2 + 4x - 4\)[/tex]. The coefficient of [tex]\(x^2\)[/tex] is negative, indicating a downward-opening parabola. Therefore, the maximum value of the expression occurs at the vertex, which lies at [tex]\(x = \frac{-b}{2a} = \frac{-4}{2(-1)} = 2\)[/tex].

Substituting x = 2 into the expression, we get:

[tex]\[ -2^2 + 4(2) - 4 = -4 + 8 - 4 = 0 \][/tex]

Since the maximum value is 0, the expression is always non-positive.

The expression [tex]\(3(x+1)(x+7)-(2x+5)^2\)[/tex] is never positive for all real values of x, as proven by its maximum value of 0.

Answer:

6 lunch tables

Step-by-step explanation:

Since one lunch table can hold 10 students and 60 students are needed to hold,

60 ÷ 10 = 6 lunch tables

Answer:

6

Step-by-step explanation:

1 table is 10

60 divided by 10= 6

Answer: -39

Step-by-step explanation:

9 x -4 -3 = -39

Answer:

When Sum of square of two Sides is equal to square of third side of triangle.

Step-by-step explanation:

Given:

Three side length of triangle are given we need find the which value to substitute for a, b, c in Pythagoras theorem.

First we will find the squares of all length, then we will check which two square of side are equal to square of third side as per Pythagoras theorem.

Hence the two side would according be a and b and third side will become c.

For example if length of triangle  is given as 6 cm, 8 cm and 10 cm.

We will first take square of all

[tex]6^2=36\\8^2=64\\10^2=100[/tex]

Now we can see that

[tex]36+64=100\\6^2+8^2=10^2[/tex]

Now by Pythagoras theorem.

[tex]a^2+b^2=c^2[/tex]

Hence we can say a = 6 cm, b = 8 cm, c= 10 cm  

The Pythagorean Theorem is specifically applicable to right-angled triangles and states that:

[tex]\[a^2 + b^2 = c^2\][/tex]

Theorem, follow these steps:

1. Identify the longest side: The hypotenuse  c is always the longest side in a right-angled triangle.

2. Assign the longest side to c : Among the three given side lengths, the one with the greatest value should be assigned to c .

Example

Suppose you are given three side lengths: 5, 12, and 13. To determine which lengths correspond to  a ,  b , and c :

1. Identify the longest side: Among 5, 12, and 13, the longest side is 13.

2. Assign the longest side to c : So, c = 13 .

3. Assign the remaining sides to  a  and  b: Thus,  a and  b can be 5 and 12, respectively (or vice versa).

Verify using the Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex]

[tex]5^2 + 12^2 = 13^2[/tex]

25 + 144 = 169

169 = 169

Since the equation holds true, the side lengths 5, 12, and 13 do indeed form a right-angled triangle, with 13 being the hypotenuse.

General Case

When given any three side lengths x ,  y , and z :

1. Determine the longest side and assign it to c .

2. The remaining two sides are a  and b

3. Check if [tex]\( a^2 + b^2 = c^2 \)[/tex] to verify if the triangle is a right-angled triangle.

By following this process, you can correctly identify the sides to substitute into the Pythagorean Theorem.

Answer:

it's 18 if your talking about multiplication

It's 42 if your talking about the powers

Step-by-step explanation:

Multiplication-(6•0)+(6•1)+(6•2)= 18

The powers-(6^0)+(6^1)+(6^2)=42

Answer:

the answer is 43

Step-by-step explanation: