Swimmers best time in event is 53.87 seconds. On average, his best time decreases by 0.28 seconds each of the next five times he swims the event. Does he accomplish his goal of swimming the event in less than 52.5 seconds?

Answer:

y = 72°, x = 36°

Step-by-step explanation:

Step 1:

2x + 3x = 180°         Supplementary ∠'s

Step 2:

5x = 180°         Combine Like Terms

Step 3:

x = 180° ÷ 5         Divide

Step 4:

x = 36°      

Step 5:

3x + y = 180°        Supplementary ∠'s

Step 6:

3 ( 36 ) + y = 180°      Input x value

Step 7:

108° + y = 180°       Multiply

Step 8:

y = 180° - 108°         Subtract

Answer:

y = 72°, x = 36°

Hope This Helps :)

Answer:

Item 1: -3,3.5

Item 2: -3,1

Item 3: -1,-2.5

Item 4: 2.25,-1

Answer:

item 1. (3,3.5 )

item 2. ( 3, 1 )

item 3. (-1 , -2.5)

item 4. ( 2 , -1 )

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

93 / 6 = 15.5 so every hour you drive 15.5 miles

217 / 15.5 = 14 you travel 14 miles overall

Answer:

3 2/5 divided by 3 1/6 = 106/95 = 1 11/95

Step-by-step explanation:

3 2/5 divided by 3 1/6 =

17/5 divided by 19/6 =

17/5 x 6/19 =

106/95 =

1 11/95

Answer:

the answers are 51 and 11

Answer:first number is 51 second number is 11

Step-by-step explanation:

Step-by-step explanation:

1/2 × (p+9) is the algebraic expression.

Answer:

answer C

Step-by-step explanation:

Answer:

opt B

Step-by-step explanation:

A=pi times radius squared

A=pi times 4.5 squared

4.5 is half of 9

proof 9/2

Answer:

False

Step-by-step explanation:

Answer:

Step-by-step explanation:

The steeper the line (graph), the greater the slope and the greater the speed of that particular car.  It is instantly obvious that of the two lines shown, the yellow graph has the greater slope and thus the greater speed.

"The steeper the line, the greater the slope(speed).  "Car 1 is moving at a speed than car 2."

Answer:

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Step-by-step explanation:

SLOPE: negative slope

ANSWER: x = -2/3y + 2

hope this helped

Answer: [tex]2x^2-7x=72[/tex] , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

[tex]\Rightarrow\ 2x^2-7x=72[/tex]

Hence, the equation that represents the given situation :

[tex]2x^2-7x=72[/tex]

Answer:

The answer is: 9x^2 - 12x + 4

Step-by-step explanation:

Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2

(3x)^2 - 2 * 3x * 2 + 2^2

Simplify:

9x^2 - 12x + 4

The expanded and simplified form of (3x-2)^2 is 9x^2 - 12x + 4.

To expand and simplify (3x-2)^2, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last and is a systematic way to multiply two binomials.

First, let's square the first term:

(3x)² = 9x²

Next, we multiply the outer terms:

(3x)(-2) = -6x

Then, we multiply the inner terms:

(-2)(3x) = -6x

Finally, we square the last term:

(-2)² = 4

Now, let's combine all the terms:

9x² - 6x - 6x + 4

Combining like terms, we have:

9x² - 12x + 4

So, the expanded and simplified form of (3x-2)² is 9x² - 12x + 4.

To know more about the whole square follow

https://brainly.com/question/30379752

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Answer: 9[tex]\pi[/tex]

Step-by-step explanation:

Sorry the pi sign looks weird. The formula for area of a circle is [tex]a=\pi r^2[/tex], so we have to substitute the radius with 3. The square of 3 is 9, so the answer is 9pi.

Answer:

h

Step-by-step explanation:

Answer:

(2n 2+5n−4)⋅(n+1)

Step-by-step explanation:

STEP

1:Equation at the end of step 1

 (((4•(n2))+3n)+((2•(n3))-4))+(3n2-2n)

STEP 2:Equation at the end of step 2

 (((4•(n2))+3n)+(2n3-4))+(3n2-2n)

STEP 3:Equation at the end of step 3:

 ((22n2 +  3n) +  (2n3 - 4)) +  (3n2 - 2n)

STEP 4:Checking for a perfect cube

4.1    2n3+7n2+n-4  is not a perfect cube

Answer:

3/5 cup

Step-by-step explanation:

I start by changing the initial fraction of 3/4 into its decimal form of .75 so that it's easier to divide. I then divide it by 5 to find how much carbonated water you should use for a single cup of juice, which is .15 cups. Then, I multiply .15 times 4, which comes out to be .6, or 3/5.

Answer:

3/4 cups of carbonated water is needed by Andy to prepare 5 cups of fruit juice that means that he uses

(3/4)/5 = 3/20 cups of carbon. water for one cup of fruit juice for 4 cups he has to use (3/20)4=12/20

or 3/5 cups of carbonated water or in decimal form 0.6 cups

Step-by-step explanation:

There u go

Answer:

3

Step-by-step explanation:

i just took the test and put 2 and that was wrong

Answer:cxwqashujk

Step-by-step explanation:

Answer:

Y = 2x + 4

Step-by-step explanation:

The slope (rise / run) is 2 and the y-intercept is 4.

Hope this helps. Pls give brainliest.

Answer:

The coordinates of point P along AB is (1,6.5)

Step-by-step explanation:

We shall use the internal division formula to split AB in the ratio 1 to 3

Mathematically, that would be;

(x,y) = (nx1 + mx2)/m + n , (ny2 + my1)/m + n

m = 1 , n = 3

(x1,y1)= (-1,2)

(x2,y2) = (7,8)

(x,y) = (3(-1) + 1(7)/1+3 , (3(8) + 1(2)/1+3

(x,y) = (-3 + 7)/4, (24 + 2)/4

(x,y) = 4/4 , 26/4

(x,y) = (1, 6.5)

Answer:

2

Step-by-step explanation:

Given the function

f(x) = x^3 − x + 4 in the interval [1,2]

We are to find the value of x for which f(x) = 7

Substitute f(x) = 7 into the expression as shown!

f(x) = x^3 − x + 4

7 = x^3 − x + 4

x^3 − x + 4 -7 = 0

x^3 − x - 3= 0

x^3 -x = 3

x(x²-1) = 3

x²-1 = 3 and x = 3

x² = 3+1

x² = 4

x = ±√4

x = ±2

Since x lies within the interval, [1,2] hence the value of x is 2

Answer:

54

Step-by-step explanation:

You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.

Answer:

The plumber worked for 6 hours.

Step-by-step explanation:

400-250=150

150/25=6

Answer:

d

Step-by-step explanation:

i solved the last 3 d is extra

Answer:

Muitiplication

Step-by-step explanation:

12x42=504

I would perform the multiplication (12 × 16) last.

Answer:

46/5 hope it helps!

Step-by-step explanation:

9x5= 45

45+1= 46

46/5

Answer:

Step-by-step explanation:

The constants p, q, r when

The least value is at vertex of the parabola ax² + bx + c, with positive a

x and y -coordinates of the vertex is:

The vertex form is:

Applying the same formula to our equation:

The constants p, q and r are:

Answer:

64.3 Per hour

Step-by-step explanation:

If you divide 321.5 miles by 5 you get 64.3 per hour and to check you could times 64.3 by 5 to get 321.5

321.5 / 5 = 64.3

64.3 x 5 = 321.5