Find the midpoint of the segment with the following endpoints.
(-10, 2) and (-5, -1)

The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

Simplification of fractions is the process of reducing fractions that involves making the fraction as simple as feasible.

We achieve this by dividing the numerator and denominator by the greatest integer that divides perfectly into both numbers.

The given expression is;

[tex]\frac{[(6c^2 + 3c)(-4c + 2)] }{[(2c + 1)/(4c - 2)]}[/tex]

On Simplifying the fraction equation by factorization we obtained ;

[tex]\frac{[3c(2c + 1)/(-2(2c - 1))]}{[(2c + 1)/(2(2c - 1)]}[/tex]

[tex]\frac{[3c(2c + 1) }{(-2(2c - 1))] \times [(2(2c - 1)/(2c + 1)]}[/tex]

[tex]-3c[/tex]

Hence he expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

To learn more about the simplification of fractions refer to the link;

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Answer:

There are 11 grams of protein in one cup of cereal.

Step-by-step explanation:

The water level in the river is an illustration of a linear function

The linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

From the complete question, we have the following table:

t      w

1     18.7

1.5  19.1

Start by calculating the slope (m)

[tex]m = \frac{w_2 - w_1}{t_2 -t_1}[/tex]

This gives

[tex]m = \frac{19.1 - 18.7}{1.5 - 1}[/tex]

Evaluate

[tex]m = 0.8[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

So, we have:

[tex]w = 0.8(t - 1) +18.7[/tex]

Expand

[tex]w = 0.8t - 0.8 +18.7[/tex]

[tex]w = 0.8t + 17.9[/tex]

Hence, the linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

Read more about linear functions at:

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Answer:

7 cats

Step-by-step explanation:

if each cat needs 0.23 pounds of food, then she can feed 1.61/0.23 = 7 cats

Answer:

x is equal to 5

Step-by-step explanation:

78 = 12x + 18

12x + 18 = 78

12x = 78 - 18

12x = 60

x = 60/12

x = 5

btw i made 78 equal to 12x + 18 because it is parallel. they both equal the same (i think its called parallel. idrk)

X is equal to 5

78=12x+18

12x=78-18

12x=60

X=60/12

X=5

Answer:

(p/3)-3=114

114 plus 3 = 117 (one-third of the novel)

117 x 3 = p = 351 (entire novel)

Step-by-step explanation:

(p/3)-3=114

114 plus 3 = 117 (one-third of the novel)

117 x 3 = p = 351 (entire novel)

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

(8)*2-7

16-7

9

Make sure to follow PEMDAS!

Answer:

p = 7

Step-by-step explanation:

6p - 10 and 32 are vertically opposite angles and are congruent , then

6p - 10 = 32 ( add 10 to both sides )

6p = 42 ( divide both sides by 6 )

p = 7

Answer:

I'm sorry i do not know but can you please press thanks it would really help me sorry i didn't know but u cant type your question in g00gle and 9 x out of 10 you will get the right 1

Step-by-step explanation:

sorry again im not that smart

Answer:

it should be 12240 !

Step-by-step explanation:

sorry if this is wrong, but im fairly certain its right :]

Answer:

C ≈ 31.4 units

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 5 = 10π ≈ 31.4 units ( to the nearest tenth )

Answer:

13/1000

Step-by-step explanation

13/1000 is its simplest form.

Answer:3/0=undefined

Step-by-step explanation:(5/6) and (5,9)

Slope: 9-6 = 3

5-5 = 0

Answer:

16yuan

Step-by-step explanation:

1$=8Y

so,2$=2x8Y

or 2$=16Y

Answer:

V:100.8

SA:111

Step-by-step explanation:

Answer:

40 voters

Step-by-step explanation:

64/8=8

8×5=40

Answer:

24

Step-by-step explanation:

5/8 of 64 = 40

64 - 40 =24

Answer:

c = 256

Step-by-step explanation:

Good Luck :)

Answer:

D

Step-by-step explanation:

I tried the last one and it did not work so maybe D

Answer:

[tex]\sf x = 7.8[/tex]

explanation:

[tex]\sf a^2 + b^2 = c^2[/tex]

[tex]\hookrightarrow \sf 9.5^2 + x^2 = 12.3^2[/tex]

[tex]\hookrightarrow \sf x^2 = 12.3^2 - 9.5^2[/tex]

[tex]\sf \hookrightarrow x^2 = 151.29 - 90.25[/tex]

[tex]\hookrightarrow \sf x^2 = 61.04[/tex]

[tex]\hookrightarrow \sf x = \sqrt{61.04}[/tex]

[tex]\hookrightarrow \sf x = 7.8[/tex]

answer : f(t) = 4000 + 170t

f(t) = principal + (principal multiplied by interest rate) multiplied by time

f(t) = 4000 + (4000*.0425)t

f(t) = 4000 + 170t

t = number of years

======================================================

Explanation:

We use the simple interest formula which is

i = P*r*t

where in this case,

We then get the following

i = P*r*t

i = 4000*0.0425*t

i = 170t

Showing that the amount of simple interest earned is 170 times that of the number of years.

For instance, if Carmen waits t = 10 years, then she earns i = 170*t = 170*10 = 1700 dollars in interest alone.

The expression 170t is the interest only. Add on the original amount deposited to find the total account balance after t years. Therefore, we arrive at 170t+4000 to get the linear function f(t) = 170t+4000

The 170 acts like the slope while the 4000 is the y intercept.

Here, we are given with ;

[tex]{:\implies \quad \sf (3x^{2}-7x)-(4x^{2}+6x)}[/tex]

Opening parentheses will yield;

[tex]{:\implies \quad \sf 3x^{2}-7x-4x^{2}-6x}[/tex]

Collecting like terms ;

[tex]{:\implies \quad \sf (3x^{2}-4x^{2})+(-7x-6x)}[/tex]

[tex]{:\implies \quad \sf -x^{2}-13x}[/tex]

Hence, the required answer is - x² - 13x

Answer:

[tex](3 {x}^{2} - 7x) - (4 {x}^{2} + 6x) \\ \longrightarrow \: \: 3 {x}^{2} - 7x - 4 {x}^{2} - 6x \\ \longrightarrow \: \: {3x}^{2} - {4x}^{2} - 7x - 6x \\ \longrightarrow \: \: - {x}^{2} - 13x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

the polygons are similar

Answer:

$133.20

Step-by-step explanation:

Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.

1. Multiply 7.20 by 18 to get 129.60

2. Multiply 0.50 by 7.20 to get 3.60.

3. Add 129.60 and 3.60 together to get the answer, 133.20.

Answer:

Step-by-step explanation:

let the number of members in the club be N

The first day the members paid

$30 for transportation plus $20 per ticket to the planetarium.

cost= 30+20N

The second day the members paid

$95 for transportation plus $17 per ticket to theGeology museum.

cost= 95+17N

total cost is

T= 30+20N+ 95+17N

T=30+95+20N+17N

T=125+37N

An expression to represent the total cost and dollars for two days for the N members of the club is

T=125+37N

Any point on the outside edge of a circle from the center of a circle would be the radius, which would be the same distance all the way around. The outer edge of the larger circle goes through the dot labeled B, which is the center of the smaller circle, therefore any distance from B to the outer edge would be the same.

The length of segment BD is the same as the length of segment AB because any distance from B to the outer edge would be the same.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Any point on the outside edge of a circle from the center of a circle will be the radius, which would be the same distance all the way around.

The outer edge of the larger circle goes through the dot labeled B, which means the center of the smaller circle.

Therefore any distance from B to the outer edge would be the same.

Learn more about circle here;

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Answer:

D. 12

thats your answer.

have a nice day!

Answer:

Area of Mrs. Margarita's garden = 1188.39 m²

Step-by-step explanation:

Using the most basic formula to solve this question i.e. Area of circle. We know that: Area of of circle = πr². But in problem we are provided with a half shaped circle. Means we need to use the half of the area of circle or you can say semi-circle.

Now, read the question again. Mrs. Margarita has a garden shaped like a half-shaped circle with a diameter of 55 m. Given diameter is 55 m and we know that radius is half of the diameter. So, radius is 55/2 m. Rest what we need to do is substitute the values and do the rest calculations.

Let's dive in!

= 1/2 × 22/7 × 55/2 × 55/2

= 11/7 × 55/2 × 55/2

= 33275/28