Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2​

Answer:

2/3

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

(-4,2) = (x1,y1)

(-16,-6) = (x2,y2)

Slope = [tex]\frac{-6-2}{-16+4}[/tex]

          = [tex]\frac{-8}{-12}[/tex]

          = [tex]\frac{2}{3}[/tex]

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: 34 in^3

Step-by-step explanation:

Surface area of triangle = 1/2 x  3.4 x 2.5 = 4.25

To find the volume of the prism, multiply the surface area of the triangle by length.

So 4.25 x 8 = 34 in^3

Answer: 11kg

Step-by-step explanation:

flour = 1/3 of rice

flour = 1/3 x 33 or 33/3

flour = 11kg

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:

x= (11+b)+5

Hope this helps

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:

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:

5

Step-by-step explanation:

Answer: i would say c sorry if im wrong

Step-by-step explanation:

Answer:b

Step-by-step explanation:

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

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:

45  degrees

Step-by-step explanation:

Have a grate Day :)

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:

2  1/2

Step-by-step explanation:

30/ (5+7)

solve using system of operations

PEMDAS

Parenthesis

Exponent

Multiplication/Division

Addition/Subtraction

30/(5+7)

parenthesis first so

5+7 = 12

30/12

then division

30/12= 2  6/12

6/12 can be simplified by 6 so

6/6 = 1 and 12/6 = 2

So your answer would be 2  1/2

The quotient of 30 and the sum of 5 and 7 is 2.5

From the question we are to write the information as an expression:

Simplify the result

[tex]\frac{30}{5+7} =\frac{30}{12} = 2.5[/tex]

Hence  the quotient of 30 and the sum of 5 and 7 is 2.5

Learn more on quotient here: https://brainly.com/question/11418015

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:7

Step-by-step explanation:

Answer:

I shall help

Step-by-step explanation:

11. The answer is 96 because 12 times 8 is 96

12. The answer is B.

13. The answer is also B because you need to count. BIG BRAIN

14 The answer is 8.

Next time please think a little harder

BRain;liest pls

Step-by-step explanation:

I'm wondering this too..

Answer:

12 smoothies

Step-by-step explanation:

9/2 ÷ 3/8 = 12

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:

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:

D

Step-by-step explanation:

250 +375=625

250/625 × 100= 40%

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:

10 cans for $5.80

Step-by-step explanation:

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:

The mean is 65 and the median is 70.

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! ;)