You have been selected by the members of White House to participate in a one-mile race (1 mile = 5,280 feet) on Sports Day. Another student from Blue House will race against you. You know from some trials in PE that you run at an average rate of 12 feet per second. Since the student from Blue house runs 10 feet per second, you have been asked to let him have a 1000-ft. head start.

If both of you maintain the estimated rates, would you be able to beat your opponent in the one-mile race?

REASONING: If both of you maintain the estimated rates, would you be able to beat your opponent in a one-mile race?

Answer:

33

Step-by-step explanation:

For 4 triangles area 4*(1/2)*4*3=24

base square area 3*3=9

all together 24+9= 33  

The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

For the graph, the domain lie across the x-axis. The domain of the function is [-2, 2) while the range is [4, 2) (along the y -axis).

Note that point where the circles are shaded shows a closed interval

Learn more on domain and range here: https://brainly.com/question/1942755

Answer: Roses 2.70 Lillies 2.45 Carnations 1.60

Step-by-step explanation:

I dont know if its wrong its mostly correct but hope it helps

Answer:

16

Step-by-step explanation:

4 x 4 = 16 because you have to go through city E

Answer:

which one's anwer you want

2. length= 65 ft width=24 m area=135 in2

[tex]\sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]      or     [tex]\sf \dfrac{54a-52}{24}[/tex]

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

[tex]\sf \rightarrow 7\left(\dfrac{5}{14}a-\dfrac{5}{21}\right)-\dfrac{1}{12}\left(3a+6\right)[/tex]

use distributive method

[tex]\sf \rightarrow \dfrac{5a}{2}-\dfrac{5}{3}-\dfrac{a}{4}-\dfrac{1}{2}[/tex]

group terms

[tex]\rightarrow \sf \rigtharrow \dfrac{5a}{2}-\dfrac{a}{4}-\dfrac{5}{3}-\dfrac{1}{2}[/tex]

make the denominators same

[tex]\rightarrow \sf \rigtharrow \dfrac{2(5a)}{4}-\dfrac{a}{4}-\dfrac{2(5)}{6}-\dfrac{3(1)}{6}[/tex]

simplify

[tex]\rightarrow \sf \rigtharrow \dfrac{10a-a}{4}-\dfrac{10+3}{6}[/tex]

answer in separate constants

[tex]\rightarrow \sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]

make the denominators same

[tex]\rightarrow \sf \dfrac{6(9a)}{24}-\dfrac{4(13)}{24}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{54a}{24}-\dfrac{52}{24}[/tex]

join both fractions

[tex]\rightarrow \sf \dfrac{54a-52}{24}[/tex]

Answer:

 [tex]\boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]

Step-by-step explanation:

[tex]7(\dfrac{5a}{14} - \dfrac{5}{21} ) - \dfrac{(3a + 6)}{12}[/tex]

Step-1: Simplify the distributive property

⇒ [tex]\dfrac{35a}{14} - \dfrac{35}{21} - \dfrac{(3a + 6)}{12}[/tex]

Step-2: Make common denominators

⇒ [tex]\dfrac{35a \times 3}{14 \times 3} - \dfrac{35 \times 2}{21 \times 2} - \dfrac{7 \times (3a + 6)}{12 \times 7}[/tex]

⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{7 \times (3a + 6)}{84}[/tex]

Step-3: Simplify the distributive property

⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a + 42}{84}[/tex]

Step-4: Rewrite (21a + 42)/84 in a different way

⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a}{84} + \dfrac{42}{84}[/tex]

Step-5: Add/Subtract if necessary

⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}}[/tex]

Step-6: Simplify the fractions

⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}} = {\dfrac{9a}{4} - \dfrac{49}{42}} = \boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To find out what values each bar in the graph represents, we use the lines and the y axis. Follow the line, and your value will be determined.

Hope this helps. If you have any further questions, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

Answer:

its A becauss i tryed b and th en i tried A so its a

Answer:

yes you are correct :)))

The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:

2 1/2 x 4 = 10

answer: D. 10

Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.

First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:

S  = 6*(1 unit square) = 6 units square.

And the volume is equal to the side length cubed, so we have:

V = (1 unit)^3 = 1 unit cubed.

Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:

S = 4*3.14*R^2

Then we must have:

4*3.14*R^2 = 6 units square

R = √(6/(4*3.14)) units = 0.69 units.

And the volume of this sphere is:

V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.

So the sphere has the same surface and more volume.

If you want to learn more about solids, you can read:

https://brainly.com/question/10171109

Answer:

If the broker Josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, then the bonds have a yield 1.35 percentage points higher than that of the stocks.

Step-by-step explanation:

Step-by-step explanation:

2mm : 16m

so to get 1mm you need to divide 16 by 2

16/2 is 8 therefore

1mm : 8m

1 millimeter represents 8 meters in real life

hope that helps :)

Answer:

238

Step-by-step explanation:

You have to find the area for each box and then you add all of them together

Answer:

238 mm²

Surface area of rectangular prsim = 2(lw + lh + wh)

Here,

length = 11 mm

width = 4 mm

height = 5 mm

area:

Answer:

I believe it is Dissolve.

Answer:

the common factors for both are 1,2,3,6

Answer:

112m

Step-by-step explanation:

A = lw

A = 10(26)

A = 260

1380 - 260 = 1120

1120 = 10(w)

1120 / 10 = 112

Answer:

Step-by-step explanation:

No solution; 3x+y-1 =/ 0

The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.

If a number can be represented by a fraction, it is rational, otherwise, it is irrational.

The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.

More can be learned about rational numbers at https://brainly.com/question/10814303

Answer:

[tex](2x - 5)^2[/tex]

Step-by-step explanation:

[tex]y = 4x^2 -20x + 25\\\rightarrow (2x - 5)(2x - 5)\\\rightarrow (2x - 5)^2\\\\\text{checking...}\\(2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25[/tex]

Answer:

12.12

Step-by-step explanation:

7^2+x^2=14^2, as by the Pythagorean theorem.

49+x^2=196,

x^2=147,

square root of 147;

it's close to 144,

thus, 12.12

Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

Answer:

5/32 square miles or 0.15625 square miles

Step-by-step explanation:

1/4 miles × 5/8 miles

=5/32 square miles or 0.15625 square miles

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

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

2

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32

Answer: 13°

Explanation: x = tan^-1 ( 9/40) ≈ 13°

Answer: False

Step-by-step explanation:

68%

Key Takeaways. The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

Answer:

Missing Angle = 26⁰ ( corresponding angles )

Answer:

5.907

Step-by-step explanation:

I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D: