Dallas and Lex both have money in the bank. Dallas has $120 and is taking
$10 out each week. Lex has $30 in his account and is saving $5 each week.
Which set of equations models this situation?

Answer: See explanation

Step-by-step explanation:

A. What is the total amount to be paid at the time of the purchase?

This will be the selling price of the stereo with the tax and the deferral. This will be:

= $1052.75 + $40

= $1092.75

B) What is the amount of each monthly payment?

Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:

= $1092.75 / 12

= $91.06

Answer:

5 units of vertical distance

Step-by-step explanation:

just count

Answer: 4

Step-by-step explanation: bc 16 divided by 4 is 4

Answer:150?

Step-by-step explanation:

Answer:

A Parallelogram.

Step-by-step explanation:

Hope this helps! :)

Answer:

Both of those are continuous

Step-by-step explanation:

A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.

The value of both functions is defined for a continuous interval of x thus both will be continuous.

A certain kind of relationship called a function binds inputs to essentially one output.

The nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the first function →

y = 30.48x where x is feet and y is a centimeter of conversion.

Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.

The second function →

y = 3x + 2 where x is minutes and y is the number of gallons in a tank.

Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.

Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".

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The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:

y-3= 4(x-4)

y-3= 4x-4

y=4x-4+3

y=4x-1

Answer:

615

Step-by-step explanation:

14x14= 196,

3.14x196= 615

Answer:

area of the circle= pi×radius²

area of the circle=3.14×14²

area of the circle=3.14×196

area of the circle=615.44m²

Answer:

25 gallons

Step-by-step explanation:

Given

135 miles to 5 gallons

Required

Determine the number of gallons for 675 miles

From the question, number of miles is directly proportional to number of gallons:

So, we have:

\(135\ miles = 5\ gallons\)

and

\(675\ miles = x\)

Where x represents the number of gallons for 675 miles

Cross Multiply:

\(135 * x = 675 * 5\)

\(135x = 3375\)

Make x the subject

\(x = 3375/135\)

\(x = 25\)

Hence, the car needs 25 gallons

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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Answer:

1728

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

0.8a-0.12b

Step-by-step explanation:

Use the distributive property:

0.8a-0.12b

Step-by-step explanation:

4545/10000

hope it helps!

Answer:

25% of 4 is 1.

Step-by-step explanation:

100% of 4 is 4, therefore 25 percent of 4 equals 1.

Answer:

you answer this you'll get 50 points but it has to be correct

Answer:

x=90 degrees and y=41 degrees.

Step-by-step explanation:

In the diagram

\(AB=AC\\$Therefore \triangle ABC$ is an isosceles triangle\)

\(m\angle C=49^\circ\)

Since ABC is Isosceles

\(m\angle B=m\angle C=49^\circ $ (Base angles of an Isosceles Triangle)\)

\(m\angle A+m\angle B+m\angle C=180^\circ $ (Sum of angles in a Triangle)\\m\angle A+49^\circ+49^\circ=180^\circ\\m\angle A=180^\circ-(49^\circ+49^\circ)\\m\angle A=82^\circ\)

\(m\angle x=90^\circ $(perpendicular bisector of the base of an isosceles triangle)\)

\(m\angle y=m\angle A \div 2 $ (perpendicular bisector of the angle at A)\\m\angle y=82 \div 2\\m\angle y=41^\circ\)

Therefore:

x=90 degrees and y=41 degrees.

The correct sentences in the passage are option A, option B, and option E.

Let's check all the options, then we have

Any two squares are either similar or congruent. The statement is true.

If two lines are parallel, they never intersect. The statement is true.

If all the angles of a polygon are congruent, then it is a square. The statement is false because a regular polygon has an equal angle but it may be a pentagon, hexagon, etc.

The intersection of two lines always forms 4 congruent angles. The statement is false because opposite angles are the same. But if adjacent angles become the same, then the statement will be true.

A line can be drawn through any two distinct points. The statement is true.

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Answer: actual answer is y=3/2x+4

Step-by-step explanation: plug b in the original formula

The equation of the line as of the condition given is y = 3x/2 + 3/2.

Given that,
The equation of the line that passes through the point (-6,-5) and has a slope of 3/2 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope form of the line is given as,
y - y₁ = m (x - x₁)
From the given substitute the point and slope in the above equation,
y + 6 = 3/2 [x + 5]
y = 3x/2 + 15/2 - 6

y = 3x/2 + 3/2

Thus, the equation of the line as of the condition given is y = 3x/2 + 3/2.

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The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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9514 1404 393

Answer:

  B.  3/5

Step-by-step explanation:

The distance from the origin to the point is given by the distance formula:

  d = √((x -0)² +(y -0)²) = √(3² +(-4)²) = √25 = 5

The cosine of the angle is the ratio of x-coordinate to that distance:

  cos(θ) = 3/5

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

slope -1/3 y-intercept (0,4)

Step-by-step explanation:

Answer:

See attached image for the graph

Step-by-step explanation:

Start by finding at least two points on the plane that satisfy the equation, and join them with a line.

Pick good values for "x" that will make the evaluation easy (for example the number "0" and also multiples of "3":

when x = 0  then y = 0/3 - 4 = -4   then the point is (0, -4)

when x = 3 then y = 3/3 -4 = 1 - 4 = -3  then this new point is (3, -3)

when x = 6 then  y = 6/3 - 4 = 2 - 4 = -2  then a third point is (6, -2)

We plot these points on the plane, and join them with a line, s shown in the attached image.