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3 years ago

8

The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression rep

resents the expected population next year? Explain how you got your answer

1 answer:

igor_vitrenko [27]3 years ago

8 0

Answer:

1.75 p

Step-by-step explanation:

if you wouldn't mind giving me brainliest, i'm just trying to rank up.

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16 Find the distance between the two points of J(-8, 0) and K(1, 4). Round to the nearest tenth. * (6 Points) O 10.3 o 8.5 O 11.

guajiro [1.7K]

Answer:

9.8

Step-by-step explanation:

8 0

3 years ago

A bag contains white marbles and red marbles, 90 in total. The number of white marbles is 6 less than 5 times the number of red

Gelneren [198K]

Answer:

W = 72

Step by step explanation:

White = W

Red = R

W + R = 90

Write an equation

W = 5R - 6

Substitute

5R - 6 = 90

Add 6 to both sides of the equation

5R = 90

Simplify

90 ÷ 5 = 18

R = 18

90 - 18 = W

W = 72

Hope this was useful to you!

8 0

3 years ago

The line on the graph passes through the points A (0, 6) and B (3, 0).

Natali5045456 [20]

The equation for the line passing through point A and perpendicular to AB will be y-0.5x=6, the gradient of line AB is -2, and the gradient of a line perpendicular to AB is 0.5.

<h3 /><h3>What is the slope or gradient?</h3>

A numerical assessment of a line's angle relative to the ground is known as the slope.

Given data;

m₁ is the slope of line AB

m₂ is the slope of a line perpendicular to AB

The coordinate points are,

A,(x₁,y₁)= (0, 6)

B,(x₂,y₂)=(3, 0).

The gradient of line AB;

$\rm m_{{1} }= \frac{y_2-y_1}{x_2-x_1} \\\\ \rm m_{{1} }= \frac{0-6}{3-0} \\\\ m_{{1} }=-2$

The slope of the lines has a perpendicular relation is -1;

m₁ × m₂ = -1

(-2) × m₂ = -1

m₂ = 1/2

m₂ = 0.5

The equation of the line passing through point A and perpendicular to AB;

(y - y₁) = m₂(x-x₁)

(y-6)=0.5(x-0)

y-6 = 0.5 x

y-0.5x=6

Hence, the gradient of line AB, the gradient of a line perpendicular to AB, and the equation of the line passing through point A and perpendicular to AB will be -2,0.5 and y-0.5x=6.

To learn more about the slope, refer to the link;

brainly.com/question/3605446

#SPJ1

4 0

2 years ago

8 1/2 is to 17 as 17 11 1/2 is to 23

Stella [2.4K]

Hello from MrBillDoesMath!

Answer: Yes, (8 1/2) /`17 = ( 17 11/12) /23

** I think you meant 11 1/2 is to 23 NOT 17 11 1/2 is to 23"

Discussion:

First, 8 1/2 = 17/2 and

(17/2 ) / 17 = 1/2

Second 11 1/2 = 23/2 and

(23/2)/ 23 = 1/2

IN other words, the ratiors are the same:

8 1/2 11 1/2

------- = -------

17 23

Thank you,

MrB

5 0

3 years ago

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is

Hunter-Best [27]

Answer:

<em>129 </em> $cm^2/s$

Step-by-step explanation:

Increasing rate of length, $\frac{dl}{dt}$ = 9 cm/s

Increasing rate of width, $\frac{dw}{dt}$ = 7 cm/s

Length, l = 12 cm

Width, w = 5 cm

To find:

Rate of increase of area of rectangle at above given points.

Solution:

Formula for area of a rectangle is given as:

$Area = Length \times Width$

OR

$A = l \times w$

Differentiating w.r.to t:

$\dfrac{d}{dt}A = \dfrac{d}{dt}(l \times w)\\\Rightarrow \dfrac{d}{dt}A = w \times \dfrac{d}{dt}l +l \times \dfrac{d}{dt}w$

Putting the values:

$\Rightarrow \dfrac{dA}{dt} = 5 \times 9 + 12 \times 7\\\Rightarrow \dfrac{dA}{dt} = 45 + 84\\\Rightarrow \bold{\dfrac{dA}{dt} = 129\ cm^2/sec}$

5 0

3 years ago