A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.

Answer:

n is 2.4

Step-by-step explanation:

[tex]3(n - 4) + 2(4n - 5) = (n + 2)[/tex]

open the brackets:

[tex](3n - 12) + (8n - 10) = (n + 2)[/tex]

collect like terms together:

[tex]3n + 8n - n = 2 + 12 + 10 [/tex]

factorise out n :

[tex]n(3 + 8 - 1) = 24 \\ 10n = 24 [/tex]

divide all sides by 10 :

[tex] \frac{10n}{10} = \frac{24}{10} \\ \\ n = 2.4[/tex]

Answer:

1. You should mix 5 cups of yellow paint with 1 cup of blue paint. The table shows that the ratio is 1:5 (blue:yellow) so 1 cup of blue paint means you need 5 cups of yellow paint.

2. Using the same ratio (1:5), you can multiply both numbers by any number and get the same shade of green.

5 cups of blue paint will need 25 cups of yellow paint.

(1 x 5 = 5  :   5 x 5 = 25)

Step-by-step explanation:

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

Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

Answer:

Step-by-step explanation:

Hope this helps

Answer:

5n+3

Step-by-step explanation:

:)

Answer:

[tex]\alpha n=5n+3[/tex]

Step-by-step explanation:

Step-by-step explanation:

[(-¾)`²]² =

[ (-4/3)²]² =

[ 16/9]² = 256 / 81

Answer:

the req answer is 256/81

Answer:

-213

Step-by-step explanation:

Hi there!

[tex]3|x+y|^2-(xy)^2[/tex]

Replace x with 3 and y with -5

[tex]= 3|3+(-5)|^2-[(3)(-5)]^2\\= 3|3-5|^2-(-15)^2\\= 3(2)^2-225\\= 3(4)-225\\= 12-225\\= -213[/tex]

I hope this helps!

Answer:

the formula is x2+x1/2 , y2+y1/2 so plug it in and you will get (1,-17/12)

Step-by-step explanation:

Answer:

2 (2r + t)

Step-by-step explanation:

2r + (t + r) × 2

➡️ 2r + 2 (t + r)

➡️ 2 (r + t + r)

➡️ 2 (2r + t)

Answer:

(2)y²

Step-by-step explanation:

2 x y²

Answer:

This was a little tricky but the answer is 2 7/16

Step-by-step explanation:

15

16

+

3

2

=  

15

16

+

3 × 8

2 × 8

=  

15

16

+

24

16

=  

15 + 24

16

=  

39

16

=  

2 7/16

Answer:

34

Step-by-step explanation:

34 because i beleive so

Answer:

80°

Step-by-step explanation:

8x = 7x + 10

They are alternate(different sides of the intersecting or transversal line) interior(inside the two parallel lines)angles

alternate interior angles

8x = 7x + 10

x = 10

7(10) + 10 = 80

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

112/12

Step-by-step explanation:

angles equal bcz corresponding angles

so

12x-8=104

12x=112

x=112/12

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

2/3 to the 3rd power ([tex]\frac{2}{3} *\frac{2}{3}* \frac{2}{3}[/tex]) is [tex]\frac{8}{27}[/tex]

Since the power is negative, just use the reciprocal (flip the fraction)

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex]\frac{1}{\frac{8}{27} } =\frac{27}{8}[/tex]

Answer:

Proper: 3 and 1/5  Improper: 16/5

Step-by-step explanation:

4 times 4/5 = 16/5

5*3=15

16-15= 1

3 and 1/5

Answer:

[tex](2 \times {10}^{4} )(1 \times 10 ^{6} ) \\ = 2 \times {10}^{10} [/tex]

I hope I helped you^_^

Answer:

2×10^10

Step-by-step explanation:

Unit conversion involves the conversion of a metric unit to another unit of the same quantity.

[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]

Let:

[tex]x = 19.3 pm/ks^2[/tex]

Multiply by [tex]10^{-17[/tex] to convert megameter per squared kiloseconds

[tex]x = 19.3 \times 10^{-17} Mn/ks^2[/tex]

Divide by [tex]10^{24[/tex] to convert to megameter per squared nanoseconds

[tex]x = \frac{19.3 \times 10^{-17}}{10^{24}} Mn/ns^2[/tex]

Apply law of indices:

[tex]x = 19.3 \times 10^{-17-24} Mn/ns^2[/tex]

[tex]x = 19.3 \times 10^{-41} Mn/ns^2[/tex]

Hence:

[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]

Read more about unit conversions at:

https://brainly.com/question/19420601

Answer:

Step-by-step explanation:

For the same exponent n and 1 < a < b we have

[tex]a^n < b^n[/tex]

Now if we decrease the r the value then 1 + r will also decrease.

If follows that the amount of money after n years will also decrease.

Answer:

∠LMP = 77

∠NMP = 103

Step-by-step explanation:

to find the measure of ∠LMP and ∠NMP

we know that ∠LMN is a straight line so that will be 180 degrees

so you can say that

∠LMP + ∠NMP = 180

(-16x +13) + (-20x +23)  = 180

-16x +13 -20x + 23  = 180

-36x + 36 = 180

-36x = 180-36

-36x = 144

x = 144/-36

x = -4

∠LMP = (-16x +13)

          = ( -16 (-4) + 13)

         = ( 64 + 13)

         = 77

∠LMP = 77

∠NMP = (-20x +23)

          =  (-20 (-4) + 23)

          = 80 + 23

          = 103

∠NMP = 103

Answer: it should be A

Step-by-step explanation: just follow the pattern

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{We are not sure what you want us to}\\\huge\text{round to so I will...}\huge\boxed{\downarrow}\\\\\\\huge\boxed{\mathsf{original \ number\rightarrow tens\rightarrow hundreds/thousands}}[/tex]

[tex]\huge\boxed{1.) \ \mathsf{89} \rightarrow \bold{90}\rightarrow\bf 100}}\\\huge\boxed{2.) \mathsf{\ 64\rightarrow \bold{6} \rightarrow \bf 100}}\\\huge\boxed{3.) \mathsf{ \ 985 \rightarrow \bold{990}\rightarrow \bf 1,000}}\\\huge\boxed{4.)\mathsf{\ 467\rightarrow\bold{470}\rightarrow \bf 500}}}[/tex]

[tex]\huge\textsf{Reminder: If you have \bf 0 - 4 you are going}\\\huge\textsf{\bf downward \& 5 - 9 you are going upward}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

2x

Step-by-step explanation:

f(x) = x -4

Step 1:

y = x - 4

Step 2: Replace y with x

x = y - 4

Step 3: Find y

x + 4 = y  

f(-x) = x + 4

f(x) + f(-x) = (x - 4)+ (x + 4) = 2x

Answer:

area is just multiplication of sides so..

(4.2x^2 - 3xy) (5)

= 21 x^2 - 15 xy

doneeeeee

What is this suppose to mean