Solve for x and y:
28x-49y=35
4x-7y=5
A.The solution is (0, 0).
B.There are an infinite number of solutions.
C.X=3,y=1
D.There is no solution.

The equation of line parallel to given line is: [tex]y = \frac{2}{3}x-\frac{5}{3}[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{2}{3}x+2[/tex]

As the line is in slope-intercept form, the co-efficient of x is the slope of the line

So,

[tex]m_1 =\frac{2}{3}[/tex]

Let m2 be the slope of required line

As both the lines are parallel,

[tex]m_1 = m_2[/tex]

So,

[tex]m_2 = \frac{2}{3}[/tex]

The slope intercept form of line is:

[tex]y = mx+b[/tex]

Putting the value of the slope

[tex]y = \frac{2}{3}x+b[/tex]

To find the value of b, putting (1,-1) in the equation

[tex]-1 = \frac{2}{3}(1) +b\\-1 = \frac{2}{3} +b\\b = -1-\frac{2}{3}\\b = \frac{-3-2}{3}\\b = \frac{-5}{3}[/tex]

Putting b=-5/3 in the equation

[tex]y = \frac{2}{3}x-\frac{5}{3}[/tex]

Hence,

The equation of line parallel to given line is: [tex]y = \frac{2}{3}x-\frac{5}{3}[/tex]

Keywords: Equation of line, slope

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Answer:

45

Step-by-step explanation:

12/15=4/5

4/5=36/x

cross product

5*36=4*x

180=4x

x=180/4

x=45

Answer:

x = 4

Step-by-step explanation:

2(3x+8) = 40   (By PEDMAS, distribute parentheses first)

3x (2) + 8(2) = 40    (next do multiply)

6x + 16 = 40   (subtract 16 from both sides)

6x = 40 - 16

6x = 24  (divide both sides by 6)

x = 24/6 = 4

Answer: B and d has a dark blue section that is 1/3 x 2/5 of a square

Step-by-step explanation:

Answer:

sorry was there suppost to be a picture with this? which dark blue square? or do we draw it ourselves?

Step-by-step explanation:

sorry i wish i could help :(

Answer:

Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

Step-by-step explanation:

we know that

Observing the table

The function f(x) is a increasing function

As the value of x increases, the value of f(x) increases

so

As x approaches positive infinity, f(x) approach positive infinity

Find the slope of the linear equation g(x)

The formula to calculate the slope between two points is equal to

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

we have the points (6, -2) and (3, 7)

substitute

[tex]m=\frac{7+2}{3-6}[/tex]

[tex]m=\frac{9}{-3}=-3[/tex]

The slope of the linear equation g(x) is negative

That means ----> Is a decreasing function

As the value of x increases, the value of g(x) decreases

so

As x approaches positive infinity, g(x) approach negative infinity

therefore

As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

The sprinkler covers an area that is shaped like a circle, with its range as the radius. Using the formula for the area of a circle, πr², and substituting 7 feet for the radius, we find that the sprinkler covers approximately 154 square feet.

The total area that the sprinkler covers can be found by considering the sprinkler's range as the radius of a circle. The formula to find the area of a circle is πr² where π (Pi) is a constant approximately equal to 3.14, and r is the radius of the circle. In this case, the radius of the area the sprinkler covers is 7 feet. So, we plug this value into the formula:

Area = π(7ft)²

Thus, the total area the sprinkler covers is approximately 154 square feet.

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The football thrown by Steve has a speed of 20 meters per second, as it covers a distance of 60 meters in 3 seconds.

To calculate the speed of the football that Steve throws, we can use the basic physics concept of speed which is the distance traveled divided by the time taken. Since Steve throws the football a distance of 60 meters in 3 seconds, the calculation for the speed v is:

v = distance / time = 60 meters / 3 seconds = 20 meters per second.

Therefore, the football is traveling at a speed of 20 meters per second.

Final answer:

The speed of the football thrown by Steve is 20 meters per second, calculated by dividing the distance thrown, 60 meters, by the time taken, 3 seconds.

Explanation:

If Steve throws a football 60 meters in 3 seconds, we can calculate the speed of the football by using the formula for speed: speed = distance/time. To find the speed of the football, we simply divide the distance Steve's throw covered by the time it took for the football to cover that distance.

The calculation is as follows:

Speed = Distance / Time
Speed = 60 meters / 3 seconds
Speed = 20 meters/second

Therefore, the speed of the football is 20 meters/second

Answer:

  11.3

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, so ...

  x/8.25 = (4+11)/11

  x = 8.25·(15/11) = 11.25

  x ≈ 11.3 . . . . . rounded to one decimal place

The goal of a statistical investigation is to answer research questions by understanding phenomena through data analysis, which includes planning the study, examining the data with descriptive statistics, and making inferences to answer broader questions.

The overall goal of a statistical investigation is to understand phenomena and answer research questions using data. This involves several key components:

Ultimately, statistical investigations aim to use descriptive statistics and statistical inference to generate insights that can answer a wide range of research questions, especially when sophisticated numerical analysis is needed.

Answer:

  C  6

Step-by-step explanation:

The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.

Here, that means ...

  NP/PQ = 2/1

  NP = 2·PQ = 2·3

  NP = 6

Final answer:

To find the number that 24.94 represents 29% of, you set up the equation 24.94 = 0.29 × x and solve for x, yielding x = 86.

Explanation:

To find the number that 24.94 is 29% of, we can set up an equation. If 24.94 is 29%, then we are looking for the whole (100%). We represent the whole number with a variable, let's call it x. The equation is as follows:

24.94 = 0.29 × x

To solve for x, we'll divide both sides of the equation by 0.29,

x = 24.94 ÷ 0.29

Now, let's do the math:

x = 86

Therefore, 24.94 is 29% of 86.

Answer:

"-" always means "less" or a "drop"

Therefore the answer is a drop of 8 meters (the first one)

Hope this helps! :]

Answer:

3 quarts of blue paint and 2 quarts of red paint

Step-by-step explanation:

Let

x ---> quarts of blue paint

y ---> quarts of red paint

we know that

You make 5 quarts of purple paint

so

[tex]x+y=5[/tex] ----> equation A

The ratio of of blue paint to red paint is

[tex]\frac{x}{y} =\frac{(1/2)}{(1/3)}[/tex]

[tex]\frac{x}{y}=1.5[/tex]

[tex]x=1.5y[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]1.5y+y=5[/tex]

solve for y

[tex]2.5y=5\\y=2[/tex]

Find the value of x

[tex]x=1.5(2)=3[/tex]

therefore

3 quarts of blue paint and 2 quarts of red paint

Answer: x=6

Step-by-step explanation:

3x+7+x=31

4x+7=31

-7 -7

4x=24

24/4= 6

Answer:

Nolan took 100 seconds.

Step-by-step explanation:

Given:

Kong took 15%, percent fewer seconds than Nolan took to complete his multiplication timed test.

Kong took 85 seconds.

Now, to find the number of seconds Nolan take to complete the test.

Let the number of seconds Nolan take be [tex]x.[/tex]

Kong took = 85 seconds.

As, given Kong took 15%, percent fewer seconds than Nolan took.

Now, to get the number of seconds Nolan took:

[tex]x-15\%\ of\ x=85[/tex]

[tex]x-\frac{15}{100} \times x=85[/tex]

[tex]x-0.15x=85[/tex]

[tex]0.85x=85[/tex]

Dividing both sides by 0.85 we get:

[tex]x=100.[/tex]

Therefore, Nolan took 100 seconds.

Answer:

100 seconds

Step-by-step explanation:

easy math

The weight in 1980 is [tex]\frac{4k}{5}[/tex] kilograms

Solution:

From 1980 to 1990, Lior’s weight increased by 25%

His weight is "k" kilograms in 1990

To find: weight in 1980

This is a percentage increase problem

Let "x" be the weight in kilograms in 1980

The percentage increase is given by formula:

[tex]\text{Percentage increase } = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100[/tex]

Here,

Initial value in 1980 = x

Final value in 1990 = k

Percentage increase = 25 %

Substituting the values in formula,

[tex]25 = \frac{k-x}{x} \times 100\\\\25x = 100(k-x)\\\\x = 4(k-x)\\\\x = 4k - 4x\\\\5x = 4k\\\\x = \frac{4k}{5}[/tex]

Thus the weight in kilograms in 1980 is [tex]\frac{4k}{5}[/tex]

Answer:

Step-by-step explanation:

From the graph given,

In order to find the equation, we need to consider the points where the curve cuts x- axis

From the graph, we have

[tex]x=-4, x= -3 \, and \, x= -1[/tex]

In factor form

[tex]x+4=0, \, x+3=0, \, and \, x+1=0[/tex]

Now, combine the factors above by multiplying together to form the equation, we have

[tex]f(x)=(x+1)(x+3)(x+4)[/tex]

Therefore, the equation of the graph in factored form is [tex]f(x)=(x+1)(x+3)(x+4)[/tex]

The question requires the equation of a graph in factored form, with the graph cutting the x-axis at -4, -3 and -1. These roots correspond to the factored form of the equation as f(x) = (x + 4)(x + 3)(x + 1). However, this equation is not listed among the choices provided. The correct option is C.

The question is asking for the equation of a graph in factored form. The graph cuts the x-axis at -4, -3, and -1.

This implies these are the roots of the equation. When a graph crosses the x-axis at a particular point, it implies the x-value of that point is a root (or zero) of the polynomial.

Therefore, the roots of the function are -4, -3, and -1. We can then convert these roots into factors by changing their signs and setting them as (x - root).

Therefore, the factored form of the equation would then be: f(x) = (x + 4)(x + 3)(x + 1). However, this equation is not listed among the choices. There might be a mistake the options provided.

It's always vital to carefully check the roots and ensure they correspond to the x values where the graph intersects the x-axis.

Therefor the correct option is C.

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Answer:

X=2

Step-by-step explanation:

FIRST YOU SUBTRACT 3 FROM BOTH SIDES:

4=1/2X+3

-3         -3

1=1/2X

THEN U DIVIDE BOTH SIDES BY 1/2:

1=1/2X

1/1/2=X

1*2/1=X

2=X

Answer:

The answer is that 90 couples remained at the party after 11 pm

Step-by-step explanation:

Number of people who went to the couples only party at 9 pm = 250

Number of people who left the party at 11 pm = 70

How many couples remained at the party?

People that remained at the party = 250 - 70 = 180

Couples that remained at the party = 125 - 35 = 90

The answer is that 90 couples remained at the party after 11 pm

Answer:

Step-by-step explanation:

24,000 inspected.....50 were defective

50/24,000 reduces to 1/480 <===

Answer:

it probably got deleted or you willl have to scroll a long way down to find it

Step-by-step explanation:

pleae mark brainliest just need 3 more

Answer:

Step-by-step explanation:

d=-1-4=-5

[tex]t_{60}=4+(60-1)(-5)=4-295=-291[/tex]

Answer:

least is 51%

Step-by-step explanation:

so 51%, .57,6/10 and .61

Option B:

–1 is the value included in the solution set

Solution:

Given inequality is –3(x – 4) > 6(x – 1).

⇒ –3x + 12 > 6x – 6

Add 3x on both sides of the expression.

⇒ –3x + 12 + 3x > 6x – 6 + 3x

⇒ 12 > 9x – 6

Add 6 on both sides of the expression.

⇒ 12 + 6 > 9x – 6 + 6

⇒ 18 > 9x

Divide by 9 on both sides of the expression.

⇒ 2 > x

⇒ x < 2

Therefore the solution set is x < 2.

In the given options 3 and 7 are greater than the solution set.

x < 2, so 2 is also not in the solution set.

–1 is the only value which is in the solution set x < 2.

Hence, –1 is the value included in the solution set.

Answer:

$10,050

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent to a decimal by dividing it by 100.

15% of $67,000 =

= 15% * $67,000

= 0.15 * $67,000

= $10,050

Answer:B (x-4)^2=9

Step-by-step explanation:

Answer:

0.5 miles/min

Step-by-step explanation:

average speed = total distance / total time

= 15 miles / 30 min

= 0.5 miles/min

Answer:

78 girls

Step-by-step explanation:

Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio

Answer:

78 girls

Step-by-step explanation:

the person below me explained it