How many points of intersection are there between line A and line B if they contain the points listed?
Line A: (2,8) and (-2,-4)
Line B: (4, 10) and (-3, -11)
A.)zero
B.)one
C.)two
D.)infinite

Answer:

C, 49°.

Step-by-step explanation:

Cause i said so

Answer:

C, 49.

Step-by-step explanation:

Answer:

The cost to rent each chair and each table are $1.5 and $8.75 respectively

Step-by-step explanation:

Let x represent 1 chair

Let y represent 1 table

Therefore

3x + 2y = 22   ------------(1)

5x + 6y = 60   ------------(2)

Multiply (1) by 5 and (2) by 3

15x + 10y = 110   ----------(3)

15x + 18y = 180  ------------(4)

Subtract (3) from (4)

8y = 70

Divide through by 8

y = $8.75

Substitute y = 8.75 in (1)

3x + 2y = 22

3x + 2(8.75) = 22

3x + 17.5 = 22

Collect like terms

3x = 22 - 17.5

3x = 4.5

Divide through by 3

x =$1.5

Final answer:

By setting up a system of linear equations based on the given information and solving it, we determined that the cost to rent each chair is $1.50 and the cost to rent each table is $8.75.

Explanation:

To find the cost to rent each chair and each table from the party rental company, we set up a system of linear equations based on the information given:

Let C be the cost of one chair and T be the cost of one table. We can write the following equations:

Solving this system of equations, we can find the values of C and T. First, multiply the first equation by 3 to eliminate T:

Now we can subtract the second equation from the modified first equation:

With the cost of a chair known, we can substitute back into either equation to find the cost of a table:

The cost to rent each chair is $1.50 and the cost to rent each table is $8.75.

Answer:

See below.

Step-by-step explanation:

The sum of the measures of the interior angles of an n-sided polygon is

(n - 2)180

A pentagon has 5 sides, so for a pentagon, n = 5.

(n - 2)180 = (5 - 2)180 = 3(180) = 540

The sum of the measures of the angles of a pentagon is 540.

You don't show the measures of the 4 angles that are known, so to answer the question, add the 4 given measures and subtract the sum from 540.

Answer:

13104

Step-by-step explanation:

9C2 x 14C3 = 36 x 364

                    = 13104

Answer:

Step-by-step explanation:

The inequality [tex]2y \leq 6[/tex] means [tex]y \leq 3[/tex].

y = 0, satisfies the above inequality, so the arrows will be towards the x axis.

Now, we need to draw 5x < 8 + 4y.

First, lets draw the equation of 5x = 8 + 4y.

y = 1 gives x = 2.4 & y = 0 gives x = 1.6.

Hence, the above equation passes through (2.4, 1) and (1.6, 0).

The point (0, 0) satisfies the inequality 5x < 8 + 4y. Hence, the arrows will be towards the origin.

The solution will be the area of APQ except any point on PQ, as PQ is nothing but the line 5x = 8 + 4y.

Answer:

Percent error for the length of the soccer field is 1.4 %

Step-by-step explanation:

The actual length of the soccer field  = 500 ft

The measured length of he field = 493 ft

ERROR in the measurement = ACTUAL LENGTH - MEASURED LENGTH

                                                =  500 ft - 493 ft = 7 ft

So, there is an error of 7 ft in measuring the length of the field.

[tex]\textrm{ERROR PERCENTAGE} = \frac{\textrm{Error}}{\textrm{Actual Measuement}} \times 100\\= \frac{7}{500} \times 100 = 1.4[/tex]

Hence, percent error for the length of the soccer field is 1.4 %

The percent error for the length of the soccer field is 1.4%.

We are asked to find the percent error for the length of a soccer field when the actual length is 500 feet, but a broken measuring instrument shows it to be 493 feet.

Calculating percent error:

Find the absolute difference: |493 - 500| = 7 feet.

Calculate percent error: (7/500) x 100%

Percent error = 1.4%.

Add the whole numbers 4 + 3 = 7

Add the fractions 1/2 + 1/4

Rewrite 1/2 to have a common denominator with 1/4

1/2 = 2/4

Now add 2/4 + 1/4 = 3/4

The answer would be 7 3/4

Answer:

[tex]x=70^o[/tex]

[tex]y=110^o[/tex]

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

In this problem the quadrilateral ABCD is a parallelogram

so

[tex]x=70^o[/tex] -----> by opposite angles in a parallelogram

[tex]x+y=180^o[/tex] ---> by consecutive angles in a parallelogram

substitute the value of x

[tex]70^o+y=180^o[/tex]

[tex]y=180^o-70^o=110^o[/tex]

Answer: m = [tex]\frac{-1}{11}[/tex]

Step-by-step explanation:

The slope of a line is calculated by :

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = 5

[tex]x_{2}[/tex] = -6

[tex]y_{1}[/tex] = -5

[tex]y_{2}[/tex] = -4

substituting the values , we have :

m = [tex]\frac{-4-(-5)}{-6-5}[/tex]

m = [tex]\frac{-4+5}{-11}[/tex]

Therefore :

slope = [tex]\frac{-1}{11}[/tex]

Answer:

f(2)= -4

Step-by-step explanation:

f(x)= -x^3 + 6x - 7

f(2) = -2^3 + 6*2 - 7

f(2)= -8 +12 -7

f(2)= 3-7

f(2)= -4

The value of the function f(x)=-x^3+6x-7 at x=2 is -3.

To find the value of the function f(x) = -x^3 + 6x - 7 at x = 2, we substitute the value of x into the function.

So, f(2) = -(2)^3 + 6*(2) - 7 = -8 + 12 - 7 = -3.

Thus, the value of the function at x = 2 is -3. This is a simple algebraic operation involving cubes and multiplication, which are basic arithmetic operations.

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Answer:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Answer:

It's B,C,D

Step-by-step explanation:

Answer:

its b,c, and d

Step-by-step explanation:

Answer: 241 days a year

Step-by-step explanation: 365*0.66=240.9 and then you round up to 241

The total number of days in a year the sun shines in Tampa will be equal to 241 days.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the instructions given in the question,

The total number of days in a year is 365 days.

Then, 66% of the total number of days in a year will be,

365 × 66/100 = 240.9 or,

The number of days of sunshine will be 241 days after rounding up the value.

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The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is [tex]y=a(b)^{x}[/tex] , where

The table:

→  x  :  y

→  0  :  40

→  1   :  62

→  2  :  96

→  3  :  149

→  4  :  231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ [tex]40=a(b)^{0}[/tex]

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ [tex]y=40(b)^{x}[/tex]

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ [tex]62=40(b)^{1}[/tex]

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is [tex]y=40(1.55)^{x}[/tex]

To find the population of moose after 12 years substitute x by 12 in the equation

∵ [tex]y=40(1.55)^{12}[/tex]

∴ y ≅ 7692

The population of the moose after 12 years is 7692

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Answer:

V=πr2h

Step-by-step explanation:

Answer:

V=πr2h

That's the formula for the volume of a cylinder

Answer:

24.4

Step-by-step explanation:

diameter=2*radius

=2*12.2

=24.4

Final answer:

The diameter of a circle with a radius of 12.2 is 24.4 units. This is calculated by doubling the radius, using the formula D = 2r.

Explanation:

To determine the diameter of a circle with a radius of 12.2, you simply need to use the relationship between the radius and the diameter of a circle. The diameter is twice the radius, which can be represented by the formula D = 2r, where D is the diameter and r is the radius.

Substituting the value of the radius into the formula gives us:

D = 2 × 12.2

This calculates to:

D = 24.4

Therefore, the diameter of the circle is 24.4 units. Keep in mind that if the radius was given in a specific unit, like meters or centimeters, then the diameter will be in the same unit.

Answer:

(2, -1)

Step-by-step explanation:

When line 1 intercepts with line 2, they meet at (2, -1). Therefore that's the solution.

Answer:

-2

Step-by-step explanation:

Answer:

-2 is 100% correct !

Step-by-step explanation:

Answer:

12x^2 - 164x + 504

Step-by-step explanation:

(3x-14)(4(x-9)) equals this, as I used an algebra calculator.

Answer:

No, lisa will not be able to feed both the tanks same amount of food.

Step-by-step explanation:

No, lisa will never be able to feed both tanks the same amount of food.Let tank A contains x number of fish then according to the information given Tank B contains 2/3x number of fishLisa feds 1 gm of food in tank A that means  Lisa feds 2 gm of food in tank B that means we have to tell whether lisa will ever feed both tanks the same amount it will be possible if   which is not possibleTherefore, lisa will not be able to feed both the tanks same amount of food.

Answer:

The finance charge is $6.96.

Step-by-step explanation:

Given:

Dudley Greene's charge account statement shows an unpaid balance of $376.00.

The monthly finance charge  is 1.85 percent of the unpaid balance.

Now, to find the finance charge.

Unpaid balance = $376.00.

Finance charge = 1.85%  of  unpaid balance.

So, to get the finance charge:

1.85% of $376.00.

[tex]=\frac{1.85}{100} \times 376.00[/tex]

[tex]=0.0185\times 376.00[/tex]

[tex]=\$6.96.[/tex]

Therefore, the finance charge is $6.96.

Answer:

58 degrees

Step-by-step explanation:

All triangles measure up to 180 degrees.

180-87-35=58

Answer:

3 boxes.

Step-by-step explanation:

The circular pool has a radius of 16 feet.

So, the circumference of the pool will be 2πr = [tex]2 \times \frac{22}{7} \times 16 = 100..57[/tex] feet.

Therefore, to place a rim around the circular pool with a foam rim Sarah will need 100.57 feet length of foam rim.

Now, the foam rim is  sold in boxes that will cover the length of 40 feet.

Therefore, she will need [tex]\frac{100.57}{40} = 2.51[/tex] ≈ 3 boxes to place around the rim of the pool. (Answer)

He must save $150 each of the last two months in order to meet his goal.

Step-by-step explanation:

Given,

Amount Colin wants to save = $900

Amount saved each month for 8 months = $75

Amount saved in 8 months = 75*8 = $600

Let,

x be the amount saved each month for remaining two months.

Therefore;

Number of months * Amount saved + Amount saved in 8 months = Total amount to save

[tex]2x+600=900\\2x=900-600\\2x=300[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{300}{2}\\x=150[/tex]

He must save $150 each of the last two months in order to meet his goal.

Keywords: subtraction, division

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The solution is [tex]x = 2 \text{ and } y = \frac{1}{2}[/tex]

Solution:

Let us assume,

[tex]a = \frac{1}{x}\\\\b = \frac{1}{y}[/tex]

Given system of equations are:

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

[tex]\frac{4}{x} + \frac{6}{y} = 14[/tex]

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

[tex]a = \frac{4}{8}\\\\a = \frac{1}{2}[/tex]

Substitute a = 1/2 in eqn 1

[tex]2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2[/tex]

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

[tex]a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2[/tex]

Substitute b = 2 in assumed value

[tex]b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}[/tex]

Thus the solution is [tex]x = 2 \text{ and } y = \frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

6 in to 13 ft = 9 in to x ft

6 / 13 = 9 / x.....cross multiply because this is a proportion

(6)(x) = (13)(9)

6x = 117

x = 117/6

x = 19.5 (or 19 1/2) ft <====

Answer:

3 Miles per hour, or .05 Miles per minute

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

In this problem we have

Option C

One angle measure 35 degrees and the other angle measure 55 degrees (90-35=55)

so

[tex]35^o+55^o=90^o[/tex]

therefore

The pair of angles are complementary

Answer:

C.)

Step-by-step explanation:

Answer:

North Pole

Step-by-step explanation:

Answer:

So your walk of 1 mile West is a complete circle. You then walk 1 mile North, which brings you back to your starting point, (1 + 1/(2pi)) miles from the South Pole. The obvious answer is the North Pole. You're either on the North Pole, or somewhere very near (about 840 feet or less) the South Pole.-step explanation:

Answer:

The x-intercept is 4

Step-by-step explanation:

We are given;

The slope of a line as -3/4

y-intercept is 3

We are supposed to determine the x-intercept;

We need to know that;

The slope of a line is given by the ratio of the change in y to the change in x

The coordinates of y-intercept are (0, 3)

Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)

But;

slope = Δ in y ÷ Δ in x

Therefore;

[tex]\frac{0-3}{a-0}= \frac{-3}{4}[/tex]

Solving for a

[tex]-3a = -12 \\ a =4[/tex]

Therefore, the x-intercept is 4