Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.

Answer:

10 cans for $5.80

Step-by-step explanation:

Answer:

$46,866

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t, where r is the annual interest as a decimal fraction.

Here we have A = ($40,000)(1 + 0.02)^8, or

A = A = ($40,000)(1.02)^8 = $46,866

Answer:

D) infinitely many solutions.

Step-by-step explanation:

1) Cancle 4y on both sides.

[tex]7 = 5 + 2[/tex]

2) Simplify 5 + 2 to 7.

[tex]7 = 7[/tex]

3) Since both sides equal, there are infinitely many solutions.

hence, the answer is option D) infinitely many solutions.

Answer:

0.1414... in a fraction is 14/99

Step-by-step explanation:

Given the number 0.1414...

we have to represent the above in terms of fraction

Let x=0.1414....  →  (1)

Multiplying by 100 on both sides

100x=14.1414....     → (2)

Subtract (1) from (2), we get

99x=14

x=14/99

hence, 0.1414... in a fraction is 14/99

Answer:

x = 6

y = 12

z = 12√2

Step-by-step explanation:

Answer:

12 smoothies

Step-by-step explanation:

9/2 ÷ 3/8 = 12

Answer:

D

Step-by-step explanation:

250 +375=625

250/625 × 100= 40%

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.

Answer:

12/7

Step-by-step explanation:

5/3x+10/7=30/7

5/3x=30/7-10/7

5/3x=20/7

x=(20/7)/(5/3)

x=(20/7)(3/5)

x=60/35

simplify

x=12/7

Answer:

D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.

Step-by-step explanation:

When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.

Step-by-step explanation:

I'm wondering this too..

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

Answer:

5/12

Step-by-step explanation:

total number of marble is 12 total number of blu is 5

Answer:

12.5%

Step-by-step explanation:

you have 7 reds of 14 total.

the 1st marble has 7 of 14 probability of being red

the 2nd has 6 of 13 of being red

the 3rd has 5 of 12 of being red

multiplying this out you have:

(7/14)*(6/13)*(5/12)=210/2184

THAT will condense down to 5/52 or 9.615%

this does assume not placing the balls back in between draws

if you do put them back in between draws you would have 7 of 14 chance each draw

that would give you by multiplying out

(7/14)*(7/14)*(7/14)=343/2744

that condenses to 1 of 8 or 12.5%

Answer: The triangles are not similar

=====================================================

Explanation:

Let's focus on triangle ABC. The given angles are

Now let's find angle C

A+B+C = 180 .... all angles of a triangle add to 180

57+92+C = 180

149+C = 180

C = 180-149

C = 31

We'll use the same idea to find the missing angle in triangle DEF

D+E+F = 180

D+92+41 = 180

D+133 = 180

D = 180-133

D = 47

--------------------

To summarize the angle measures we found were:

Note that while the "92"s match up (angle B and angle E), we don't have any other matches. The two triangles must have all three angles have a match somewhere in order for the triangles to be similar. Similar triangles have their corresponding angles the same measure, but the corresponding side lengths may or may not be the same.

If we had D = 57 and F = 31, then this would lead to triangles ABC and DEF being similar; however, we don't have such a thing going on. Therefore, the two triangles are not similar.

Answer:

The mean is 65 and the median is 70.

Step-by-step explanation:

Answer: 11kg

Step-by-step explanation:

flour = 1/3 of rice

flour = 1/3 x 33 or 33/3

flour = 11kg

Answer:

x=15

Step-by-step explanation:

3x−5+5=40+5

3x=45

Step 2: Divide both sides by 3.

3x3=453

x=15

Answer:

x = 15

Step-by-step explanation:

3x - 5 = 40

add 5 to each side of the equation:

3x - 5 + 5 = 40 + 5

simplify:

3x = 45

divide both sides by 3:

3x/3 = 45/3

simplify:

x = 15

Answer: i would say c sorry if im wrong

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

(-6,0) (-3,1)

1-0/ -3 - -6 = 1/3

Answer:

g(x) = x² - 3

Step-by-step explanation:

When doing a, h, and k, there are different stanoints to each of the variables.

in this case, since we are shifting down, we use k

we are moving 3 units down so we subtract 3 with no parentheses

so g(x) = x² -3

The translating function is g(x) = ( x+ 3)².

In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions. There is no change in the shape because it is just moved from one location to another.

We have function,

f(x) = x²

and, g(x) = a horizontal translation of 3 units left.

Now, we have to subtract 3 from the x coordinate of g(x).

So, g(x) = f(x-h) where h = -3.

Thus, the translating function is g(x) = ( x+ 3)².

Learn more about Translation here:

https://brainly.com/question/17592356

#SPJ5

x= (11+b)+5

Hope this helps

Answer:

5

Step-by-step explanation:

Answer:

Yes they do

Step-by-step explanation:

https://www.mathwarehouse.com/geometry/triangles/triangle-inequality-theorem-rule-explained.php?alenght=8&blength=15&clength=20#triangle-inequality-theorem

This demostration shows how.

Answer:

yes

Step-by-step explanation:

when 1st and 2nd lengths addition is more than 3rd side

for example

6+8>10

Answer:

∠BCO = 55°

Step-by-step explanation:

The sum of all the angles in a triangle is always 180°, so we need to subtract 90° and 35° from 180° to get ∠BCO.

180° - 90° - 35° = 55°

Answer:

66m

Step-by-step explanation:

9+3+16+3+5+12+10+s

the s would 8 because

12+5 is 17

17-9 would be 8 so we would add 8.

9+3+16+3+5+12+10+8

Answer:

66 m

Step-by-step explanation:

We know that Perimeter is sum of all the sides of any triangle / quadrilateral / polygon . Here we see that that the side lenght are ,

8cm , 10cm , 12cm , 3m , 5m , 16m ,9m , 3cm .

On adding these , we will get Perimeter .

⇒ P = 8cm + 10cm + 12cm + 3m + 5m + 16m + 9m + 3m

⇒ P = 66m

Answer:

5 hours

Step-by-step explanation:

First, you set the equations equal, so 20h=17h+15

Second, you isolate the h, so you would subtract 17h from both sides, giving you 3h=15

Last, you divide both sides by 3 giving you h=5, meaning the companies charge the same price after 5 hours.

Answer:

5 hours

Step-by-step explanation:

Answer:

32 °F

Sorry if I'm wrong

Step-by-step explanation:

Answer:

your answer should be $16.50 :)

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

So lets find the change i savings for each week.

To do this, just subtract the value of the 1st week by the value of the 0th week:

7.50-6.50

=

1

So now we know for each week that passes, Henry's savings grows by 1 dollar.

Now, lets multiply the 1 dollar for each week by 10 weeks:

(dollar per week) x (amount of weeks)=(dollars for 10 total weeks)

1x10

=

10

Now that we know in 10 weeks Henry's savings increases by 10, lets add it to the orginal amount.

(Orginal amount) + (dollars for 10 total weeks) = (Total amount in savings)

6.50+10

=

16.5

Hope this helps! ;)