Write a word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor.

Answer:

9) y=(-6-3x)/2                 10) y=(2x+15)/3            11) y=8+4x

12) y=1/2x+6                   13) y= (8-3x)/-4            14) y= (10-6x)/-2

Step-by-step explanation:

The methods I used are known as float and ping, and escalator:

9) We can float the 3x to the other side to make

2y=-6-3x

We now escalate the 2 down to make:

y= [tex]\frac{-6-3x}{2}[/tex]

10) We simply escalate the 3 down to give:

y= [tex]\frac{2x+15}{3}[/tex]

11) We simply float the -4x to the other side:

y=8+4x

12) For this question, it will be better to expand the bracket first:

y-8=-1/2x-2

Now we float the -8 to the other side to give:

y=-1/2x-2+8

Which can be simplified to give:

y=1/2x+6

13) We simply float the 3x to the other side to give:

-4y=8-3x

Now we escalate the -4 down to give:

y= [tex]\frac{(8-3x)}{-4}[/tex]  
14) We float the 6x to the other side to give:

-2y=10-6x

Now we escalate the -2 down to give:

y= [tex]\frac{10-6x}{-2}[/tex]

Answer:

[tex]x = 14 - 3[/tex]

Step-by-step explanation:

*The key word 'less than' means to subtract.

x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.

In other words, the backpack didn't increase in pounds.

3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.

x = 143 is incorrect. This equation is unrealistic.

x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)

Answer:

D. Subtraction Property of Equality

Step-by-step explanation:

D. Subtraction Property of Equality

From 6-7, you subtract 132 from both sides. You can only do this because of the subtraction property of equality which essentially means that if you subtract something from one side of the equation, you also have to subtract it from the other side. In this case, you subtract 132 from both sides, therefore it is D.

Answer: B

Step-by-step explanation:

We can see that the graph is being compressed, so f(x) is being transformed into f(ax), where 0<a<1.

The only option that satisfies this is y=f(x/2).

Answer:

-40

Step-by-step explanation:

HOPE THIS HELPS BRAINLIST

<A+<B+<C=180(sum of triangle)

55+65+<C=180

120+<C=180

<C=60

Answer:

42 square cm

Step-by-step explanation:

6 x 14 = 84. 84 divided by 2 = 42.

a = b x h divided by 2

The volume of a cylinder is the amount of space in it

The radius of the cylinder is 3 feet

The volume of a cylinder is:

[tex]V = \pi r^2 h[/tex]

Where r represents the radius, and h represents the height

So, we have:

[tex]108\pi = \pi r^2 * 12[/tex]

Divide both sides by 12pi

[tex]9 = r^2[/tex]

Take the square roots of both sides

3 = r

Rewrite as:

r = 3

Hence, the radius of the cylinder is 3 feet

Read more about volume at:

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Answer:

If P(x) has the roots -11 and 6, then its multipliers can be written as

Step-by-step explanation:

P(x)=(x+11)(x-6)

P(x)=x2-6x+11x-66

P(x) = x2+5x-66

Answer: 7

Step-by-step explanation:

Let the unknown length be x

Cut the polygon into 2 pieces

6 * 24 + x * (18 - 6) = 228

144 + 12x = 228

12x = 84

x = 7

The length of the side labeled with a question mark in the given polygon is 7 meters.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the area of this polygon is 228 square meters.

We know that, the area of a rectangle is Length×Breadth

Area of a large rectangle = 24×6

= 144 square meters

Let the length of unknown side be x.

Area of a small rectangle = 12×x

Total area = Area of a large rectangle+Area of a small rectangle

228=144+12x

12x=228-144

12x=84

x=84/12

x=7 meters

Therefore, the length of the side labeled with a question mark is 7 meters.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ3

Let's find sides one by one

[tex]\\ \tt\hookrightarrow a^2=2^2+3^2=4+9=13\implies a=\sqrt{13}=3.2[/tex]

[tex]\\ \tt\hookrightarrow b=\sqrt{2^2+4^2}=\sqrt{20}=4.2[/tex]

[tex]\\ \tt\hookrightarrow x=\sqrt{1^2+4^2}=\sqrt{17}=4.1[/tex]

Now

[tex]\\ \tt\hookrightarrow s=\dfrac{4.2+4.1+3.2}{2}=5.7[/tex]

Apply herons formula

Area

[tex]\\ \tt\hookrightarrow \sqrt{5.7(5.7-3.2)(5.7-4.1)(5.7-4.2)}=\sqrt{5.7(2.5)(1.6)(1.5)}=5.84units^2[/tex]

Answer:

With exponents:

Without exponents

Step-by-step explanation:

Factorization of 36:

Factorization of 45:

-Chetan K

Answer:

The Prime factorization of 36 and 45 is 3²

36 = 2 × 2 × 3 × 3

= 2² × 3²

45 = 3 × 3 × 5

= 3² × 5

Prime Factorization = 3²

____________________

Answer:

[tex]r=\frac{a-p}{pt}[/tex]

Step-by-step explanation:

Solve [tex]a=p+prt:[/tex]

[tex]r=\frac{a-p}{pt}[/tex]

Probabilities are used to determine the chances of events

The probability that the salesman left his sunglasses in the first store is 0.16

The given parameter is:

p = 1/5 ---- the probability that he left his sunglass

The probability that he did not leave his sunglass would be:

q= 1- 1/5

Evaluate the difference:

p = 4/5

So, the probability that the salesman left his sunglasses in the first store is:

Pr = 1/5 * 4/5

Evaluate the product

Pr = 4/25

Express as decimal

Pr = 0.16

Hence, the probability that the salesman left his sunglasses in the first store is 0.16

Read more about probabilities at:

https://brainly.com/question/25870256

Step-by-step explanation:

First problem looks right. Although he started with 145, not 25. Savings and checking combined is the total amount of cash he had before he started working, which is why it's added to the total amount of money he has.

He saves 55 every week. because the multiplier on w, which is weeks is 55. So for every week 55 is added to the multiplication. Ex 2 weeks is 110, 3 is 165, 4 is 220 etc..

He wanted a total of 650 usd. Doesn't matter where it is the total is what matters. Doesn't matetr if hes spending,  storing or even burning the money..
So first make 55w+145=650 then solve

Minus 145 from both sides

55w = 505

About 9 weeks one day and 6 hours. This is a rough estimate since the answer is 9.18181818 weeks.

Answer:

5 if the value of y become 5 it makes this true

Hi! Let's solve this inequality!

Move 12 to the right side, using the opposite operation.

y>17-12

y>5

Thus, any value of y greater than 5 will make this inequality true.

Let's try 6, since 6 is greater than 5.

12+6>17

18>17

Yeah, it worked :)

Thus, any value of y greater than 5 will make this inequality true.

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts.

[tex]\bf{M^a^g^i^c^a^l[/tex]

Answer: 3:2 is the scale he should use

Step-by-step explanation: You simplify 24/16 by the GCF (greatest common factor) The GCF of 24 and 16 is 8 so [tex]\frac{24}{16}[/tex] ÷ [tex]\frac{8}{8}[/tex] = [tex]\frac{3}{2}[/tex]. 3/2 could also be written as a scale or ratio which is 3:2.

Answer:

4,3

Step-by-step explanation:

1 plus 3 equals 4.

-3 plus 6 equals 3.

Answer:

The y intercept should be 9 and the graph is incorrect.

Answer:

21

Step-by-step explanation:

On the left side, 2 multiply by 3 is 6. So you can do the same thing to the right side. 7 multiply by 3 is 21.

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for a linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

Answer:

31.47

Step-by-step explanation:

WX - 11

3.1 x 13.7 - 11

42.47 -11

=31.47

Hi!

I can help you with joy!

All we have to do here is plug in the numbers.

wx-11

(3.1)(13.7)-11

Multiply:

42.47-11

Subtract:

31.47 (Answer)

I hope this helps!

Ask me if you have any questions.

~Misty~

-[tex]\bf{Silent~[/tex]-

Answer:

s is the independent variable and d is the dependent variable.

Step-by-step explanation:

--------- :)

Answer:

A circle has a worth of 0. If your talking about the corners.

Answer:

a) There will be approximately a water depth of 7.5 meters after 3h

b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.

Step-by-step explanation:

a) Look for the y-value when the x-value is 3.

b) Look for the x-value when the y-value is 8.

*The y-axis is the depth (m), and the x-axis is the time (h).

Answer:

Step-by-step explanation:

Use the law of sines:

Find the missing angle:

Use the law of sines to find the length of b:

the answer will be

48$ dollars

Answer:

20 + 6x

$44

Step-by-step explanation:

So 5 CD's for 20 dollars is $4 ea. then each one added will be +6 with the variable (x).

so you can't have the first 5 becuase x is used for every one OVER 5.

So

$ or price = 20 + 6x

plug 4 in because 9-5 = 4

20 + 6(4)

20 + 24

$44

Answer:

What math level is this?

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

[tex]-5x^3 +4x^2- 5x[/tex]

This resultant expression is polynomial.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The given expression in the problem is,

[tex](3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]

Let the resultant polynomial of the above expression is f(x). Therefore,

[tex]f(x)=(3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]

To solve the above polynomial, open the bracket by multiplying the sign with inside values as,

[tex]3x^3 +2x^2 - 5x - 8x^3 +2x^2[/tex]

Separate the same power terms of the variables as,

[tex]f(x)=3x^3- 8x^3 +2x^2 +2x^2- 5x\\f(x)=-5x^3 +4x^2- 5x[/tex]

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

[tex]-5x^3 +4x^2- 5x[/tex]

This resultant expression is polynomial.

Learn more about polynomial here;

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