What is the product of 2.7 and 18/17? Is the product rational or irrational?

Answer:

7/15

Step-by-step explanation:

Yes you are correct with your answer as you cannot simplify further.

Answer:

Correct

Step-by-step explanation:

7/15 is in simplest form

Answer:

3.

A) 43.96 cm (Circumference)

B) 153.86 square cm (Area)

4.

A) 62.8 ft (Circumference)

B) 314 square ft (Area)

Step-by-step explanation:

3. Radius 7 cm

7*2=14 (Find the diameter)

14*3.14= 43.96 cm (Circumference)

7*7=49 (Find the square of radius)

49*3.14 = 153.86 square cm (Area)

4. Diameter: 20 ft

20*3.14 = 62.8 ft (Circumference)

20/2=10

10*10=100

100*3.14= 314 square ft (Area)

Answer: x = 2,340 homes without children

There are 2,340 homes without children.

Step-by-step explanation:

'x' represent the number of homes without children

'y' represent the number of homes with children

x : y = 9 : 7

Since the total number of homes is 4160 means x + y = 4160.

From x + y = 4160 follows y = 4160 - x.

Plug y = 4160 - x into x : y = 9 : 7

x : (4160 - x) = 9 : 7

Answer:

a. X=11  

b. X=-5

c. X=175

Answer:

[tex]Cost = \$28[/tex]

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

[tex]7g + 3h = 26[/tex]

The second statement, we have:

[tex]4g + 5h = 28[/tex]

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

[tex]7g + 3h = 26[/tex] --- (1)

[tex]4g + 5h = 28[/tex] --- (2)

Make g the subject in (2)

[tex]4g + 5h = 28[/tex]

[tex]4g = 28 - 5h[/tex]

Divide both sides by 4

[tex]g = \frac{1}{4}(28 - 5h)[/tex]

Substitute [tex]\frac{1}{4}(28 - 5h)[/tex] for g in (1)

[tex]7g + 3h = 26[/tex]

[tex]7(\frac{1}{4}(28 - 5h)) + 3h = 26[/tex]

[tex]\frac{7}{4}(28 - 5h) + 3h = 26[/tex]

Multiply through by 4

[tex]4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4[/tex]

[tex]7(28 - 5h) + 4*3h = 26*4[/tex]

Open bracket

[tex]196 - 35h + 12h = 104[/tex]

[tex]196 -23h = 104[/tex]

Collect Like Terms

[tex]-23h = 104-196[/tex]

[tex]-23h = -92[/tex]

Make h the subject

[tex]h = \frac{-92}{-23}[/tex]

[tex]h = \frac{92}{23}[/tex]

[tex]h = 4[/tex]

Substitute 4 for h in [tex]g = \frac{1}{4}(28 - 5h)[/tex]

[tex]g = \frac{1}{4}(28 - 5*4)[/tex]

[tex]g = \frac{1}{4}(28 - 20)[/tex]

[tex]g = \frac{1}{4}(8)[/tex]

[tex]g = 2[/tex]

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

[tex]Cost = 6g + 4h[/tex]

[tex]Cost = 6*\$2 + 4*\$4[/tex]

[tex]Cost = \$12 + \$16[/tex]

[tex]Cost = \$28[/tex]

Answer:

4.8oz

Step-by-step explanation:

So 1lb=16oz

16x3=48oz

48/10=4.8

Distributing them out she has little over enough for all 10

She will have half pound or 8 oz of grapes leftover.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given, Stacy has 3 lb. of grapes to make 10 bowls of fruit salad.

Since, 1  lb. = 16 oz.

So, Stacy has total grapes = 48 oz.

1 bowl of fruit salad Required = 4 oz. of grapes

Thus,

10 bowl of fruit salad required = 40 oz. of grapes

So, Leftover grapes = 48 -40

Leftover grapes = 8 oz or 1/2 lb.

Therefore, She will have half pound of grapes leftover.

Learn more about unit conversion here:

https://brainly.com/question/19420601

#SPJ2

Answer:

y=2

x=-1

Step-by-step explanation:

2x-4y=-10

-2x-y=0

Add Together and get:

-5y=-10

y=2

put the 2 in for y in either equation to solve for x

2x-4(2)=-10

2x-8=-10

2x=-2

x=-1

Answer:

$12

Step-by-step explanation:

;)

Answer:

12

Step-by-step explanation:

28 divided by 7 = 4

4 x 3 = 12

Answer:

The cup will be filled 6 times.

Step-by-step explanation:

If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:

(1/4) + (1/4) + (1/4) = 3/4

3/4 = 3/4

The measuring cup will have to be filled 3 times for 1 loaf.

If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)

Hope this helps!!

- Kay :)

Answer:

21

Step-by-step explanation:

126/6= 21 sit ups per minute

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

Y=1/2x

Step-by-step explanation:

the y intercept is 0 so we dont show it, and slope is rise over run, it goes up one unit every two times to the right

i hope this help!

Answer:

2m is longer

Step-by-step explanation:

9514 1404 393

Answer:

  $8,775

Step-by-step explanation:

The amount due is given by the formula ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

  A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

It's new position is 1121 feet below sea level.

(In this problem u are descending into a negative value so it made sense for me to add for some reason).

Hope this helps and have a good day.

Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.

-R3TR0 Z3R0

Answer:

[tex] \frac{ - 1448}{192} = \frac{ - 181}{3} = - 60.3[/tex]

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]

[tex]P(Same) = \frac{67}{210}[/tex]

Step-by-step explanation:

Given (Omitted from the question)

[tex]Red = 7[/tex]

[tex]White = 9[/tex]

[tex]Blue = 5[/tex]

Solving (a): [tex]P(First\ White\ and\ Second\ Blue)[/tex]

This is calculated using:

[tex]P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}[/tex]

We used Total - 1 because it is a probability without replacement

So, we have:

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{45}{420}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]

Solving (b) [tex]P(Same)[/tex]

This is calculated as:

[tex]P(Same) = P(First\ Blue\ and Second\ Blue)\[/tex][tex]or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)[/tex]

[tex]P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})[/tex]

[tex]P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})[/tex]

[tex]P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}[/tex]

[tex]P(Same) = \frac{20+42+72}{420}[/tex]

[tex]P(Same) = \frac{134}{420}[/tex]

[tex]P(Same) = \frac{67}{210}[/tex]

Answer:

$257,681.60

Step-by-step explanation:

What's happening here is called "compounding," and the appropriate formula is  A = P(1 + r)^t, where r is the rate of increase as a decimal fraction.

With the given data, we have:

A = $160,000(1 + 0.10)^(5), or:

    = $160,000(1.10)^5, or:

     = $160,000(1.6105) = $257,681.60 :  condo value after 5 years

Answer:

1%=0.07

Step-by-step explanation:

Im going to assume the question says what is 1% of 7.

so 100%=7

divide my 10 to get to 10%

10%=0.7

do the same thing.

1%=0.07

you just go backwards when dividing by 10.

9514 1404 393

Answer:

  700

Step-by-step explanation:

You want to find x such that ...

  1% of x = 7

  0.01x = 7 . . . . . . . . . . use math symbols

  x = 7/0.01 = 700 . . . . divide by the coefficient of x

1% of 700 is 7.

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.

_____

A rhombus is a special case of parallelogram in which adjacent sides are the same length.

A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.

__

An alternate route to the same conclusion is ...

A rectangle is a special case of parallelogram in which vertex angles are 90°.

A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.

Step-by-step explanation:

Right angle=90°

90-30= 3x

3x=60

x=20

Answer:

72.32

Step-by-step explanation:

i have spoken

Answer:

72.32 degrees

Step-by-step explanation:

the picture shows a supplementary angle, which equals 180 degrees.

first, solve for x.

since the entire figure equals 180 degrees, set the equation equal to 180. then add in the measurements, which are 7x, 8x, and 44.4.

180 = 7x + 8x + 44.4

combine like terms (7x and 8x).

180 = 7x + 8x + 44.4 ⇒ 180 = 15x + 44.4

subtract 44.4 from both sides. the positive 44.4 will cancel out, so all you have to do is subtract 44.4 from 180.

180 - 44.4 = 135.6

now, your equation is...

135.6 = 15x

divide both sides by 15.

(135.6)/15 = (15x)/15 ⇒ 9.04 = x, or x = 9.04

now plug 9.04 in for x in both 7x and 8x.

7x ⇒ 7(9.04) ⇒ 63.28

8x ⇒ 8(9.04) ⇒ 72.32

*the highlighted angle, 8x, is 72.32 degrees.

checking your work:

now, all your measurements are 63.28, 72.32, and 44.4

check your work by adding all the measurements together and setting that equal to 180.

63.28 + 72.32 + 44.4 = 180

180 = 180

since both sides are equal, all of the values are correct!

now that you know your work is correct, it is fully safe to say that the highlighted angle is 72.32 degrees.

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:

Answer:

Step-by-step explanation:

This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4