PLEASE PLEASE PLEASE HELP DECIMAL WORD PROBLEM

P, Q, V, and K are collinear, the distance VP=214

Given :

P, Q, V, and K are collinear with V between K and P, and Q between V and K

Make a diagram using the above given information

[tex]VP = 14x + 4, \\PK = x + 630, \\VQ = 17x + 6, \\and KQ = 11x + 5[/tex]

The diagram is attached below

From the diagram we can see that ,

[tex]PK=VP+VQ+KQ\\Replace \; the \; expressions\\x+630=14x+4+17x+6+11x+5[/tex]

Solve the equation for x

[tex]x+630=14x+4+17x+6+11x+5\\x+630=14x+17x+11x+4+6+5\\combine \; like \; terms\\x+630=42x+15\\x=42x+15-630\\x=42x-615\\x-42x=-615\\-41x=-615\\divide\; by \; -41\\x=15[/tex]

so , the value of x is 15

We know that VP=14x+4

Replace 15 for x  to solve for VP

[tex]VP=14x+4\\VP=14(15)+4\\VP=214[/tex]

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k = -2

√-72k = √(-72 · (-2)) = √144 = √12² = 12

Answer:

[tex]m^2 +13m-36[/tex] does not factor.

Explanation:

[tex]m^2 +13m-36[/tex] is not factorable with rational numbers.

Answer:

Below in bold.

Step-by-step explanation:

V = πr^2h

Divide each side by πr^2:

V / πr^2 = h.

Height of the given cylinder

= 36π / π3^2

= 36/9

= 4.

Height = 4 cm.

The required height of the given cylinder is given as 4cm.

Given that,
The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder, with a volume of 36π cm3 and a base with a radius of 3 cm height of the cylinder is to be determined.

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder,
V = πr²h
h = V/πr²
Substitute the value in the above equation,
h = 36π/π3²
h = 36/9
h = 4 cm

Thus, the required height of the given cylinder is given as 4cm.

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Answer:

22.5

Step-by-step explanation:

A dilation is a non rigid transformation which shrink or stretch a figure.

If the scale factor, b>1, the figure will grow

If the scale factor is less than 1, the figure will shrink

The scale factor is 1.5 so the figure will grow.

A dilation about a scale factor makes both figures porportional assuming we know all corresponding angles are congruent. So this means we just multiply PQ by 1.5 to get P'Q'

[tex]15 \times 1.5 = 22.5[/tex]

Step-by-step explanation:

[tex](x - 2)(x + 2) \\ x(x + 2) - 2(x + 2) \\ x { }^{2} + 2x - 2(x + 2) \\ x {}^{2} + 2 x - 2x - 4 \\ x {}^{2} - 4[/tex]

Answer:

false

Step-by-step explanation:

Answer:

24/5 or 4.8

Step-by-step explanation:

This would be 6/10 multiplied by 8 making it 48/10 and if you simplify that you will get 24/5.

Answer:

4.8

Step-by-step explanation:

6 tenths can be written like this: 0.6

If you were to pretend the 0.6 was a six..

6*8=48

There actually is a decimal point and you must move it back to the left one place because there was one before the six

4.8

Boom.

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent acres of soybeans. Then 100-x is the number of acres of corn. All of Mrs. Griffin's labor hours will be used when ...

  6x +8(100-x) = 660

  -2x +800 = 660 . . . . . simplify

  x -400 = -330 . . . . . . . divide by -2

  x = 70 . . . . . . . . . . . . . add 400

Mrs. Griffin should plant 70 acres of soybeans and 30 acres of corn.

_____

Additional comment

The problem is not well-specified, as there is no indication of the reason why Mrs Griffin should plant any number of acres of either crop. So, we assume the intent is to use all of the acres and labor hours available.

This makes the problem equivalent to a system of two equations in two variables. We effectively substituted (100-x) for the acres of corn, which might otherwise be its own variable.

Often, you're interested in maximizing or minimizing some objective function given these constraints. If we wanted to minimize labor, for example, we would plant all soybeans, since there is less labor involved. That would only require 600 hours of labor, instead of 660.

Answer:

11 is the answer after solving all this

Step-by-step explanation:

You can apply BODMAS to solve it easy

Answer:

yes 11 is the correct answer

Answer:

A. No solution.

Step-by-step explanation:

Absolute values can never be negative. So there is no value of "x" that can make the absolute value negative.

Answer:

c

Step-by-step explanation:

12 - 2 = 10

10 + 6 = 16

30 = 16 + x

x = 30 - 16

x = 14

Answer:

c) 14

Step-by-step explanation:

Solution:

Let the other number be x

Now,

6+x+12-2=30

6+x+10=30

x+16=30

x=30-16

x=14

please mark this answer as brainlist

Answer:

0<r<4

Step-by-step explanation:

-8<8-4r<8

Subtract 8 from each side

-8-8<8-4r-8<8-8

-16<-4r<0

Divide by -4, remembering to flip the inequality

-16/-4>-4r/-4>0/-4

4>r>0

Rewriting

0<r<4

erviewing you. The first step is to consider what you want. Are you trying to get into a graduate or undergraduate program? Are you trying to land a great internship? What does the person interviewing you want to see?

Then, think about your personal history and your strengths. How do those fit with the goals you just considered? Closely connecting your answer to those goals gives you a strong advantage, as you can see in these examples.

Graduate School Applicant Example

I've always loved the Victorian period in English literature. Even as a kid, Dickens captured my imagination more thoroughly than the Harry Potter stories or anything else. As an undergraduate at Northwestern University, I studied English with a concentration on Victorian fiction. Now, I hope to continue exploring this fundamentally important literary period as a graduate student.

Internship Interview Example

I'm a senior at Michigan Technological University, majoring in biomedical engineering. Ever since I was a kid, I've wanted to work in the field of prosthetics. I saw first-hand how a prosthetic limb helped give my best friend a normal teenage life, and I've always wanted to be a part of that process. I'm drawn to prosthetic design and research, which is why I'm so excited to learn more about the internship your company is offering.

Answer:

too big for me

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{( {32}^{x} \times {25}^{x})} { {15}^{x} } = {15}^{2} [/tex]

When you multiply two variables or numbers or with different bases but with the same exponent, you can simply multiply the bases and use the same exponent. For example:

x^a*y^a= (xy)^a

[tex] { (\frac{32 \times 25}{15} })^{x} = {15}^{2} [/tex]

[tex] { (\frac{32 \times 5}{3} })^{x} = {15}^{2} [/tex]

[tex] { (\frac{160}{3} })^{x} = 225[/tex]

x= log (225) ÷ log ( 160/3)

Answer:

The last one

Step-by-step explanation:

brainliest pls? :D

Answer:

A

Step-by-step explanation:

Product is MUltiplication and Quotient is division.

Answer:

9 =x

Step-by-step explanation:

12/x = 8/6

Using cross products

12 *6 = 8*x

72 = 8x

Divide each side by 8

72/8 = 8x/8

9 =x

Answer:

12/x = 8/6

cross multiply

8x = 12 × 6

x = 9

Answer:

Step-by-step explanation:

4704:3=1568

Answer:

45ft squared

Step-by-step explanation:

you multiply 3 by the radius which is 15

that gives you a total of 45

Answer:  x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

4x + 5 = 6x - 7

     -5           -5

4x = 6x - 12

-6x   -6x

-2x = -12

/-2    /-2

x = 6

Answer:

angle ABD =55 degree

angle BCD= 125 degree

Step-by-step explanation:

angle ABD and angle DBC are supplementary angles.

Hence, angle ABD +angle DBC = 180 --equation 1

angle ABD = (2x+15) ---equation 2

angle BCD = (4x+45) ------equation 3

ABD+DBC=180

(2x+15) + ( 4x+45 ) = 180

2x+4x+15+45=180

6x+60=180

6x=180-60

6x=120

x=120/6=20

angle ABD= 2x+15= 2(20) +15

                              =40+15= 55 degree

angle BCD= 4x+45 = 4(20) +45

                                = 80+45= 125 degree

Hence, angle ABD =55 degree

            angle BCD= 125 degree

Hope this helps.

Total earned Friday = $1445

Total earned Saturday = $1624

Earnings Sunday - $xxx

Average over 3 day period = $1500

Therefor total over 3 day = $1500 x 3 = $4500

So earnigs friday + Saturday = $1445 + $1624 = $3069

$4500 - $3069 = $1431

$1431 earn on Sunday

Step-by-step explanation:

1) Perimeter = 2(l + w)

Perimeter = 2(94 + 64)

Perimeter= 2(158) = 361 cm

2) Fabric required = Area

Area = l × b

Area = 94 × 64

Area = 6016 cm²

The measurements of a rectangular tablecloth are 94 cm and 64 cm.

How many cm does the perimeter of the tablecloth measure?

Therefore, the perimeter of the tablecloth is 316 cm.

How many cm of fabric were used to make it?

Therefore, the fabric is 6,016 cm².

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]

Anything divided by one results in itself.

[tex] \large \sf \: x\times 1+x [/tex]

Combine x × 1 and x to get 2x.

[tex] = \large \boxed{ \bf \: 2x}[/tex]