solve for X (3X+1) (10) (22) (7x-1)

Solve For X (3X+1) (10) (22) (7x-1)

Answers

Answer 1

Answer:

The value of x is 8

Step-by-step explanation:

In the given triangle

∵ A line segment joining points on two sides and parallel to the 3rd side

→ That means this line segment divided the two sides into equal ratios

∵ It divided the 1st side into 10 and 3x + 1

∵ It divided the 2nd side into 22 and 7x - 1

∴ [tex]\frac{10}{3x+1}[/tex] = [tex]\frac{22}{7x-1}[/tex]

→ By using cross multiplication

10(7x - 1) = 22(3x + 1)

∴ 10(7x) - 10(1) = 22(3x) + 22(1)

70x - 10 = 66x + 22

Subtract 66x from both sides

∵ 70x - 66x - 10 = 66x - 66x + 22

∴ 4x - 10 = 22

Add 10 to both sides

∴ 4x - 10 + 10 = 22 + 10

∴ 4x = 32

Divide both sides by 4

x = 8

The value of x is 8


Related Questions

Emma's sister is nine years older
than Emma. Their combined ages
add up to 49. How old is Emma?
(The answer isn’t 40 bc it say that her sister is 9 years OLDER then Emma) pls help

Answers

Answer:20 I believe

Step-by-step explanation:

Answer:

yeah it should be 20 they're correct

what is the coefficient of -2x+8=10 ​

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

The graph of a linear function p is shown on the grid. If m(x)=x and p(x)=m(x)+n, what is the value of n?

Answers

Answer:

The answer is 1

Step-by-step explanation:

What's the answer to this?

Answers

Answer:

3 the answer is 3

Step-by-step explanation:

Find the closest point on the line.
y = - x -4 to (4,4)

Answers

Answer:

(-2,-2)

Step-by-step explanation:

The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).

Answer:

y = x - 4

Step-by-step explanation:

root (4,0)

domain XER

y intercept (0,-4)

Can someone help me please!! ASAP

Answers

Answer:

4. Domain: -3,-2,-1,0,1, and 2. Range: -2,0,2,4,2,0. It is a function

5. Domain: -3,-1,-1,1, 2,3 Range: 0,-1,2,0,-3,3. Not a function.

Step-by-step explanation:

Number four is a function because there is one x to one y but for five there are two x's to one y.

help fast please it's timed ​

Answers

Answer:

2x= 3x-7

-x=-7

x=7

so, the first option

Step-by-step explanation:

There are 212.5 grams of sugar in a 2-liter bottle of soda. How much sugar is there in 4.5 bottles? please HELP ME ​

Answers

956.25 is the answer

Because 1 bottle is 212.5 grams of sugar you can just multiply that by 4.5 because there are 4 bottles and a half of a bottle

Solve for y y + 7 = 9

Answers

Answer:

y = 2

Step-by-step explanation:

Given

y + 7 = 9 ( subtract 7 from both sides )

y = 2

Simplifying

y + 7 = 9

Reorder the terms:

7 + y = 9

Solving

7 + y = 9

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + y = 9 + -7

Combine like terms: 7 + -7 = 0

0 + y = 9 + -7

y = 9 + -7

Combine like terms: 9 + -7 = 2

y = 2

Simplifying

y = 2

-FrxziteTheLxoser- I hoped i helped you today! :)

order the following numbers from least to greatest. -14 1/5,
-14.04,
-14.4

Answers

Answer:

-14.4, -14 1/5, -14.04

Step-by-step explanation:

1/5=0.2

-14..04 is closest to 0 on a number line

the more i think about it the more i doubt myself but i hope its right. pretty sure it is.  

{(0, 1), (1, 4), (2, 5), (3, 7)}
not a function or function

Answers

Answer:

It's a function

Step-by-step explanation:

Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.

Answers

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

a water tower casts a shadow that is 21ft long.a tree casts a shadow that is 8ft long estimate the height of the water tower

Answers

Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

#3, #19, and #16 please!!

Answers

To answer number 3 all you have to do is put 15 times x <_ 12 (put a line directly underneath the sign)

To answer number 19, do 21-11= 10 This means that X=10

X(10) plus 11=21

21=21

[10 + 11] >_ 21


To solve 16.

Add 3 to 13 to get 16

Then you’ll have [3x +4] >_ 16

Once you have this, subtract 4 from both sides.

Then you’ll have 3x>_ 12

Now you can divide each side by 3 to get x>_4. X=4

So if we plug that in [3x +4] >_ 13, you’ll get

[3(4) +4] >_ 13

And then you’ll get

[16] >_ 13


I hope this helps!!

When you subtract an number from both sides of an inequality, do you flip or change the direction of the inequality?

Answers

Answer:

you only have to flip the inequality if you you are divide or multiplying by a negative

Can someone help me please thank you

Answers

Answer:

3j + 3m + 21

Step-by-step explanation:

Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.

Total distance = 3j + 3m + 21

Answer:

(3j) + (3m + 21)

Step-by-step explanation:

Since every time Jared goes running he runs 3 miles we should multiply j by 3. So we will have: 3j

Since every time Malia goes running she runs 3 miles we should multiply m by 3. So we will have 3m

But this month Jared ran an extra 21 miles so we will have to add that after we have multiplied both j and m by 3.

Since we want the total distance they ran that month, we need to add all of these distances.

This will give us 3j + 3m + 21.

In the answer options 3j is inside a parenthesis as well as 3m + 21. Since inside the parenthesis we only have addition and the order which we add doesn't really make a difference, the parenthesis were unnecessary but they won't affect the answer.

$1500 at 9% for 2 years

Answers

Answer:$270

Step-by-step explanation:

I=PRT

Interest=principal times rate times time

Principal=1500

Rate=9%=0.09

Time=2

I=1500 times 0.09 times 2

I=1500 times 0.18

I=270

Interest=270

Total is 1500+270=1770 total paid

Write an equation that represents the transformations formed by the following items:


(a) horizontally shifting the graph 4 units to the left of f(x) = √x and then vertically compression by a factor of 1/3

(b) vertically stretching the graph by a factor of 4 of f(x) = √x and then vertically shifting the graph 3 units up

(c) horizontally stretching the graph of f(x) = √x by a factor of 2 and then vertically shifting the graph 6 units down

Answers

Answer:

a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]f(x)=4\sqrt{x} + 3[/tex]

c) [tex]f(x) = 2\sqrt{x} -6[/tex]

Step-by-step explanation:

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

There are some transformations are given.

Now,

For (a);

The function is horizontally shifting the graph 4 units to the left of

f(x) = √x.

So, The function become;

f (x) = √(x + 4)

And, Then vertically compression by a factor of 1/3.

So, The function become;

f (x) = 1/3 √(x + 4)

For b:

The function is vertically stretching the graph by a factor of 4 of f(x) = √x.

So, The function become;

f (x) = √x + 3

And, Then vertically shifting the graph 3 units up.

So, The function will be;

⇒ f (x) = 4√x + 3

For c;

The function is horizontally stretching the graph of f(x) = √x by a factor of 2.

So, The function become;

f (x) = 2√x

And, Then vertically shifting the graph 6 units down.

So, The function will be;

⇒ f (x) = 2√x - 6

Thus,

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

Learn more about the translation visit:

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,

Item 8 A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary. The dog has about square feet of running area.

Answers

Complete Question:

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

Answer:

The dog has about 707 square feet of running area.

Step-by-step explanation:

From the illustration in the question, one can conclude that the dog can travel in a circular path.

So, the length of the leash represents the radius and we are to calculate the required area using the area of a circle.

We have:

[tex]Radius = 15ft[/tex]

[tex]Area = \pi r^2[/tex]

Where

[tex]r = Radius = 15[/tex] and [tex]\pi = 3.14[/tex]

So:

[tex]Area = 3.14 * 15^2[/tex]

[tex]Area = 3.14 * 225[/tex]

[tex]Area = 706.5ft^2[/tex]

[tex]Area = 707\ ft^2[/tex]

The amount of time between interest payments is known as:
A. period.
B. simple interest.
C. interest.
D. principal.

Answers

A. period.

This is the answer

i’m pretty sure it a period

Please help i will mark braniliest and 30 points

If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7


A) x=8
B) x = 7
C) x = 12
D) x= -8

Answers

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

SOMEONE PLEASE ANSWER
the equation is 7x-3 over 9 > 8-2x

Answers

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Multiply the vector in the graph by a scale factor of Negative one-half.
The resulting vector will be
✔ shorter than
the original vector.
The resulting vector will be in Quadrant
✔ II
shorter than and II are the answers

Answers

Answer: The answer is shorter than and ll

Step-by-step explanation:

When multiplying the vector in the graph by a scale factor of -1/2. The resulting vector will be shorter than and II. Option D is correct.

Multiply the vector in the graph by a scale factor of Negative one-half.The resulting condition for the vector is to be determined.



What is the scale factor?

The scale factor is defined as the ratio of modified change in length to the original length.

What is a vector?

A vector is defined as phenomenon that has two independent belongings magnitude and direction. The term also denotes the mathematical or geometrical replica of such a quantity. Norms of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Here, The scale factor is -1/2, where a negative sign shows that the vector will get inverted and 1/2 implies that it will be shortened by 1/2.

Thus, when multiplying the vector in the graph by a scale factor of 1/2. The resulting vector will be shorter than and II. Option D is correct.


Learn more about scale factors here:
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The number of swimmers at a city pool on Monday was twice the number who were there on Tuesday. The number at the pool on Wednesday was 11 fewer than 3 times the number on Tuesday. The total swimmers for all 3 days were 625. How many swimmers were at the pool each day? Define a variable, write an equation, and solve the problem.

Answers

Answer:

102 1/3 swimmers

Step-by-step explanation:

Let

Number of swimmers on Tuesday = x

Number of swimmers on Monday = 2x

Number of swimmers on Wednesday = 3x - 11

Total swimmers for all 3 days = 625

x + 2x + (3x - 11) = 625

3x + 3x - 11 = 625

6x = 625 - 11

6x = 614

x = 614 / 6

= 102 2/6

x = 102 1/3 swimmers

Number of swimmers on Tuesday = x = 102 1/3 swimmers

Number of swimmers on Monday = 2x

= 2(102 1/3)

= 204 2/3

Number of swimmers on Wednesday = 3x - 11

=3(102 1/3) - 11

= 307 - 11

= 296

table, proportional or non-proportional?

Answers

B) is the answer hope this helps

I my last questions got reported so...here are 100points

what is
[tex]107 \times 58[/tex]

Answers

Answer:

what bait don't know that

Answer:

6,206

Step-by-step explanation:

it's multiplication, if anything you could just use a calculator.

<3 Enjoy,

    Dea

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the
polynomial in standard form.
3i, 2 - i

Answers

Answer:

t

Step-by-step explanation:

Hello guys plz help me with this question, plz show me the working so i know how you did it, THANK YOU!

Answers

9514 1404 393

Answer:

  a) 13%

  b) 65.9%

Step-by-step explanation:

a) You can use n=1 to find the percentage remaining at the end of 1 hour:

  P = 100(0.87^1) = 87

This is 13% less than 100%, so the decay rate per hour is 13%.

__

b) Fill in n=3 and evaluate the expression.

  P = 100(0.87^3) = 65.8503

After 3 hours, about 65.9% of the caffeine remains.

Which set of equivalent measures does not indicate that two triangles must be congruent?

A anglo-angle-angle B. side-angle-side

C. angle-side-angle D. angle-angle-side

Answers

Answer:

C. angle-side-angle

D. angle-angle-side

Step-by-step explanation:

A triangle is bounded by three sides, thus it has three angle. When two triangles are compared, the length of sides and angles could be similar or not. Thus, the triangle may be congruent or not congruent.

The relationship between congruent triangles can be expressed as regards to their sides, angles, or both.

From the given question, when the three angles of two given triangles are the same, then the two triangles are congruent. This relationship can be expressed as Angle-Angle-Angle.

Also, when two triangles have two equal sides and an included angle to be equal (i.e Side-Angle-Side), then they are congruent.

Find the unit rate

5 calculators cost $180 ________________________



Mowed 6 yards for $30 ________________________



10 chocolate bars cost $17 ____________________



5 movie tickets cost $35 __________________________



$19 for 5 books _______________________________



200 bagels in 2 hours ________________________




56 people can ride the Ferris Wheel in 4 hours _____________



5 cans of green beans for $3.20 ______________________



3 pounds of bananas for $3.06 ________________________




4 tickets to the movies costs $36 ___________________

PLEASE HELP BRAINLIEST IF CORRECT

Answers

Answer:

vvvvvvvv

Step-by-step explanation:

A.36

B.5

C.1.70

D.7

E.3.80

F.100

G.14

H.0.64

I.1.02

J.9

Basically you dived the two numbers for your awnser

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