Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.

Answer:

x = 4

Step-by-step explanation:

First we will subtract 7 from 11 to get

-x = 4 - 2x, next we will add 2x to -x to get

x = 4.

(It's just a matter of combining like terms.)

Hope this helps :)

The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]

The first sentence about what happens to the bag of marbles;

"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"

Leads to the fractional equation

[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]

After rearranging, we get equation (1) [tex]3r-2g=5[/tex]

The next sentence about what happens to the bag of marbles;

"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"

Leads to the fractional equation

[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]

Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]

So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]

[tex]3r-2g=5\\4r-3g=-5[/tex]

Which gives [tex]r=25[/tex] and [tex]g=35[/tex]

Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]

Another example of ratio word problems can be found in the link below:

https://brainly.com/question/11343888

Answer:

Step-by-step explanation:

(-4 - 4)/(3 - 1)= -8/2= -4

y - 4 = -4(x - 1)

y - 4 = -4x + 4

y = -4x + 8

answer is option 1

Answer:

1-15

Step-by-step explanation:

You should at least teach students 1-15 or 1-20

Answer:

  (a)  The distance from -14 to 0 on a number line. The answer is 14.

Step-by-step explanation:

If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...

  The distance from -14 to 0 on a number line. The answer is 14.

Let it be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]

[tex]\\ \sf\longmapsto 2x=1200[/tex]

[tex]\\ \sf\longmapsto x=600[/tex]

Answer:

0.75 cups

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

divide both sides by 12 to find y

12y / 12 = y

360 / 12 = 30

therefore y = 30

Step-by-step explanation:

we know,

sum of all angles on a straight line is 180°.

so according to it,

x + 2x + 3x = 180

6x = 180

x = 180/6 = 30

x = 30°

therefore, value of x is 30°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

See below, please.

Step-by-step explanation:

x+2x+3x=180

So, 6x=180

x=30

Answer:

[tex]236 \times 48 \\ \\ = 11328[/tex]

it's answe

236×48

= 11 , 328

Answer:18.53

Step-by-step explanation:

7 rounding up will end up to three

Answer:

18.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

Answer:

A B D

Step-by-step explanation:

Answer:

-7

y=-7x+50

Step-by-step explanation:

Answer:

88 markers long just take 22 and divide it by .25

Answer:

The systems model is a process-oriented representation that emphasizes the influences, or flow, of information between modules.

Step-by-step explanation:

A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.

Answer:

10

Step-by-step explanation:

Bisect the 72° angle to get an exterior angle of 36°.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

360°/36° = 10

Answer: There are 10 sides.

Answer:0.16 bar ontop of 6

Step-by-step explanation:

Answer:

0.166

Step-by-step explanation:

I did this about 2 years ago

Answer:

( AB )² + 12 = 162

Step-by-step explanation:

By Pythagoras theorem,

( AB )² + ( BC )² = ( AC )²

( AB )² + ( 2√3 )² = ( 9√2 )²

( AB )² + 12 = 162

Step-by-step explanation:

it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,

h² = a² + b²

here in the given figure we have to find base or b²

(AC)² = (CB)² + (AB)²

we know,

AC = 9√2

CB = 2√3

now,

162 = 12 + AB

THEREFORE, OPTION B is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

4√2

Step-by-step explanation:

as it is an isosceles 2 sides will have the same side length so 4 and 4, therefore you can use pythagoras theorem to solve for x.

do 4²+4²=32 then square root this √32 which is equal to 4√2

The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

And, The two sides of the isosceles triangle will be the same.

Both perpendicular sides' length = 4

By Pythagoras theorem,

x = √(4² + 4²)

x = √32 = 4√2

Hence "The two sides in the isosceles triangle will be the same thus the value of the third unequal side x will be 4√2".

For more information about triangles,

https://brainly.com/question/2773823

#SPJ2

Answer:

A rea of a Circle = π × r²

Step-by-step explanation:

The area of a circle formula is A = π × r² where r is the radius.

Remember that the radius might not be given but the radius is half of the diameter.

For π use the calculator value or use 3.14.

Answer:

the answer is 20

Step-by-step explanation:

got it yw man<333333

Answer:

a. n=6

b. n = 4

c. n =2

d. n = 11 ÷ 5

e. n = 10

f. 20

Step-by-step explanation:

a. 5n = 30

n=30÷5

n=6

b. 3n-1 = 11

3n= 11 + 1

n = 12 ÷3

n=4

c. 4n + 7 = 15

4n = 15 - 7

n = 8 ÷ 4

n = 2

d. 5n = 11

n = 11 ÷ 5

e. 4 + n = 40

n = 40 - 4

n = 10

f. 5 + 15 = 20

Answer: $26.16

Step-by-step explanation:

23.15 / 5 = 4.63

4.63 x 6 = $26.16

Answer is (5,7)

Step-by-step explanation:

In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.

Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.

Any doubts, please refer the attached image.

So, you will get the answer as (5,7) .

Step-by-step explanation:

10+6 = 16

since 112/16 = 7

add 7*10 white and 7*6 striped

Answer:

Alright, solve 10 + 6 = 16

Place a proportion of 10 / 16 and 6 / 16

Multiply 10 and 112, and 6 and 112, and divide both by 16

This will get you 70 / 42

70 / 42 = 10 / 6

70 * 6 = 420, 42 * 10 = 420

420 = 420

70 white golf balls, and 42 striped.

Step-by-step explanation:

Im sorry for lagging man :( i hope that helps

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]