Find the values of the constants p and q if the lines px + 5y = 7 and
4x + qy = 5 meet at the point (2, -1). If the lines meet the y-axis at A and B
obtain the distance AB.

Answer:

51

Step-by-step explanation:

Hope this helps

Answer:

51

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

radius is half of a diameter so that means you need to multiply 72 times 2

Answer:

[tex]13.50 \times 8.5 \\ = 13.5 \times 8.5 \\ = 114.75[/tex]

Answer:

B. -7.5%

Step-by-step explanation:

Original cost: 50 * $20 = $1000

Value after 1 year: $925

percent change in 1 year = (925 - 1000)/1000 * 100%

percent change = -7.5%

Answer: B. -7.5%

Answer:

x = 113

Step-by-step explanation:

Since the shape is a quadrilateral, the angles add up to 360 so:

x + 87 + 113 + 47 = 360

x + 247 = 360

x = 360 - 247

x = 113

Answer:

D) 8:15

The first thing you do is add up all the apples which equals 15. And then you see how many red apples there are which is 8. Then you write your ratio which is 8:15.

Your answer is D) 8:15

Answer:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

A = 25800(1 + (0.04 × 10)) = 36120

A = $36,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of $25,800.00 at a rate of 4% per year for 10 years is $36,120.00.

Answer:

1/4

Step-by-step explanation:

Answer:

1/4 cup

Step-by-step explanation:

Answer: It's D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Entering a second-period math class and surveying all the students in that class

Answer:

Option (1)

Step-by-step explanation:

Exponential equation that models the increase in the number of books has been given as,

[tex]B=8700e^{0.04t}[/tex]

Here, B = Number of books

t = Number of years

Number of books after t = 3,

[tex]B=8700\times e^{0.04\times 3}[/tex]

   [tex]=8700\times e^{0.12}[/tex]

   = 9809.226

   ≈ 9809

Therefore, Option (1) will be the correct option.

Answer:

After 3 years, the library will have approximately 9,809 books.

Step-by-step explanation:

If [tex]t[/tex] represents the number of years passed, in the time of 3 years, the library shall have [tex]8700e^{0.04*3} = 8700e^{0.12}[/tex] ≈ [tex]8700*1.12749[/tex] ≈ [tex]9,809[/tex] books.

Answer: the answer is 1.6 or 0.6.

Answer:

8⅓

Step-by-step explanation:

divide 5 by (3/5). To divide by a fraction, flip the fraction and multiply. Make the 5 into a fraction by putting a '1' underneath:

(5/1)(5/3) = 5x5/1x3 = 25/3 = 8⅓

You can take 3/5 away from 5, 8⅓times

Answer:

It points to 3 in on the clock.

Hope it helps!!!

Answer:

B

Step-by-step explanation:

Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

Answer:

15 minutes

Step-by-step explanation:

Answer:

ans is (D)500/3 π unit^3

Explanation :

Formula for volume of sphere is 4/3 π r^3 .

The volume of the sphere below is 500π/3 units³, the correct option is D.

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

The radius = 5

Now,

The volume of a sphere is given by the formula V = ⁴⁄₃πr³, where r is the radius of the sphere1. To find the volume of a sphere whose radius is 5 units, you need to plug in r = 5 into the formula and simplify it using arithmetic operations.

V = ⁴⁄₃πr³

V = ⁴⁄₃π(5)³

V = ⁴⁄₃π(125)

V = (4)(125)π/3

V = 500π/3

Therefore, by the volume of sphere formula the answer will be V = 500π/3 units³.

Learn more about volume of a sphere here:

https://brainly.com/question/381274

#SPJ7

Answer:

240 grams

Step-by-step explanation:

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Answer:

The distance across Africa would be measured in kilometers, and the height of a swingset would be in meters.

Step-by-step explanation:

Kilometers is larger than all of the other ones and Africa is across the ocean

A swingset isn't extremely tall but not short

46764need photo ryyiouttgg

Answer:

y= -4x -2

Step-by-step explanation:

-10=-4(2) -2

y= -4x -2

Answer: [tex]1200 m[/tex]

[tex]75\ m/min[/tex]

Step-by-step explanation:

Given

Alex Jogged 3 rounds of 400 m track

It took 16 min to Jog 3 rounds

(a) Total distance Alex had Jogged

[tex]\Rightarrow 3\times 400=1200\ m[/tex]

(b) Average speed is the total distance by the total time

[tex]\Rightarrow \dfrac{1200}{16}=75\ m/min[/tex]

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

Answer:

a = 76

Step-by-step explanation:

a - 40 + a + 180 - (a + 36) = 180

a - 40 + a + 180 - a - 36 = 180

a + 104 = 180

a = 180 - 104

a = 76

Answer:

a = 76

Step-by-step explanation:

The remote angles theorem states that when one extends one side of a triangle, the sum of the two non-adjacent angles will equal the measure of the angle formed between the side of the triangle and the extension.

One can apply this theorem here by stating the following,

(a - 40) + (a) = (a + 36)

Simplify,

a - 40 + a = a + 36

2a - 40 = a + 36

Inverse operations,

2a - 40 = a + 36

-a            -a

a - 40 = 36

  +40     +40

a = 76

Step-by-step explanation:

Becuase all circles are similar.

Noboday talks about the circle due to all circle are similar.

We have find the rotation of coordinate plane also we have talk about the coordinate plane in circle.

Rotations coordinate plane may be clockwise or counterclockwise.

When we are working in the coordinate plane assume the center of rotation to be the origin unless told otherwise.

Nobody talk to circles because there is no point, all circle are similar.

To learn more about the rotation visit:

https://brainly.com/question/26249005

Answer:

8 in

Step-by-step explanation:

? = a

a² + b² = c²

a² + 15² = 17²

a² + 225 = 289

a² = 289 - 225

a² = 64

[tex]\sqrt{a^2} =\sqrt{64}[/tex]

a = 8

Answer:

OPITON 2

Step-by-step explanation:

120-30=90 SHE NEED 90 DOLARS MORE

Answer:

A,M,V

Step-by-step explanation: