The cheetah is the fastest land animal, capiable of attaining a speed of 110 km/h. In August 2009 , the world record for the men's 100m sprint was set at 9.58 seconds. How many times is a cheetah as fast as the fastest human sprinter?

Step-by-step explanation:

Put the what given of y in equation 2 to equation of 1

So you get

[tex] \frac{4}{5} x + \frac{2}{5} x - 7 = - 4 \\ \frac{6}{5} x = 3 \\ x = \frac{15}{6 } \\ x = \frac{5}{2} [/tex]

Then put the value of x in second equation

You will get

[tex]y = - \frac{2}{5} \times \frac{5 }{2} + 7 \\ \\ y = 6[/tex]

Answer:

91

Step-by-step explanation:

the common diference is : d = ( 13)-(7)=(7)-(1)=(1)-(-5)=6

the first term is A1 = -5

the n-ieme term is : An = A1 +(n-1)d

An = -5+6(n-1)

An = 6n-11

the 17th term in the arithmetic sequence  is : A17 = 6(17)-11 =91

Answer:

c

Step-by-step explanation:

-5,1,7,13,19,25,31,37,43,49,55,61,67,73,79,85,91

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

Answer: The answer to this math question about solving for the value of k with the given full of the angles is k = 6.

Step-by-step explanation: As always to remember, all of the forming angles to a straight line with a sum of 180 degrees, so anyways, here are 6 steps in order to solve for the value of k:

Step 1. First, let's find the measures of the value of all 3 angles, the measures of all 3 angles are, 8°, 90°, and 40° that looks in the equation form like this: [tex]7k + 8 + 90 + 40 = 180.[/tex]

Step 2. Next, after finding the measures of the value of all 3 angles, it's time to add all 3 angles up together that looks in the equation form like this: [tex]7k + 138 = 180.[/tex]

Step 3. Then, let's move positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side that looks in the equation form like this: [tex]7k = 180 - 138.[/tex]

Step 4. In addition to that, after moving positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side, it's time to subtract 138 degrees and 180 degrees that looks in the equation form like this: [tex]7k = 42.[/tex]

Step 5. Now last but not least is finally, after subtracting 138 degrees and 180 degrees, it's time to divide the both sides by 7 that looks in the equation form like this: [tex]\frac{7k}{7}=\frac{42}{7}.[/tex]

Step 6. Hence the value of k is 6.

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for the value of k with the given full of the angles, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and a great weekend! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

Answer:

x-10=4

×=4+10

×=14

..............

Answer:

400 feet

Step-by-step explanation:

on way up you travel 35 ft in 30 sec or 144 ft in 120 sec (2 min)

on way down you travel 304 ft in 120 sec (2 min)

the distance traveled for 5 minutes at rate from way 'up' is 360 feet

the distance traveled for 5 minutes at rate from way 'down' is 760 feet

difference is 400 feet

Answer:

400

Step-by-step explanation:

Sleepy

Answer:

it is the second answer

Step-by-step explanation:

why just dont trust me i am god awful at math sometimes well bye

Answer:

|-9 - (6)|

9 + (6) = 15

Step-by-step explanation:

You just sale the exercise from the bars that makes the 2 signs positives and finally yoy just put that in the calculator.

Answer:

4.24264068712 ft

Step-by-step explanation:

9 + 9 = x^2      

18 = x^2

x = 3√2 ft

Answer: K12 USA TestPrep Answer

3√2 ft

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

1/3x3=1

10-1=9

Answer:

6.5/x=10/40;x=26

Step-by-step explanatio

Answer:

Step-by-step explanation:

Remark

There are a couple of ways that would produce the right answer. The proportion must be set up so that likes are on the numerator and denominator.

6.5 vertical height of the small triangle/ horizontal small 10  =

x vertical of the tree/ 40 horizontal of the tree.

Notice what we have

vertical / horizontal = vertical / horizontal

6.5 / 10 = x / 40         Cross multiply

6.5 * 40 = 10 * x

260 = 10 * x               Divide by 10

26 = x

Answer:

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

Step-by-step explanation:

Step-by-step explanation:

hope u understand it's just a simple formula

Answer:

The answer is 441190

You just have to multiply 10 with 44119 and then you get 441190

(10 • 44119 = 441190)

Answer:

Step-by-step explanation:

(5/8)/(3+3/4)

(5/8)/(15/4)

(5/8)(4/15)

20/120

1/6

Answer:

52 quarts of paint needed for the entire wall.

Step-by-step explanation:

13 gallons covers 16 of a wall.

We are asked to find the how many quarts of the paint needed for the same wall.

So, it is to convert 13 gallons to quarts.

1 gallon =4 quarts

So, 13 gallons = 13 * 4 quarts

=52 quarts.

So, 52 quarts of paint needed for the entire wall.

Answer:

Step-by-step explanation:

2(63+4x+3)=276

4x+66=138

4x=72

x=18

AD=BC

AD=4x+3, using x=18 found earlier

AD=4(18)+3

AD=72+3

AD=75

Answer:

8.3

Step-by-step explanation:

Plug -1.9 into the equation.

-5-7(-1.9) = 8.3

Hope I helped!

Answer:

-4

Step-by-step explanation:

Given:

The ratio of the measures of the three sides of a triangle is [tex]\dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}[/tex].

Its perimeter is 31.4 centimeters

To find:

The shortest side of the triangle.

Solution:

Let the measures of the three sides of a triangle are [tex]\dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x[/tex] respectively (in cm).

Its perimeter is 31.4 centimeters.

[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4[/tex]

[tex]\dfrac{3x+4x+2x}{12}=31.4[/tex]

[tex]\dfrac{9x}{12}=31.4[/tex]

[tex]\dfrac{3x}{4}=31.4[/tex]

On further simplification, we get

[tex]3x=4\times 31.4[/tex]

[tex]3x=125.6[/tex]

Divide both sides by 3.

[tex]x=\dfrac{125.6}{3}[/tex]

[tex]x=41.867[/tex]

Now, the sides of triangle are

[tex]\dfrac{1}{4}(41.867)=10.467[/tex]

[tex]\dfrac{1}{3}(41.867)=13.956[/tex]

[tex]\dfrac{1}{6}(41.867)=6.978[/tex]

Therefore, the length of the shortest side is 6.978 cm.

Answer:

3/10

Step-by-step explanation:

the total sale was neither a profit nor loss , 0%

Step-by-step explanation:

1st table :

100%-> 9900

110%-> 10890

10890-9900=990(earned)

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

2nd table :

100%->9900

90%-> 8910

9900-8910=990(lost)

990-990=0

hence the total sale was neither a profit nor loss , 0%

Step-by-step explanation:

y> 4

y is greater than 4.

hope this helps

Answer:

80%

Step-by-step explanation:

Answer: the letter that represents the hypotenuse is c because formula is a^2+b^2=c^2

Step-by-step explanation:

Answer

 h = √ (96 / 8) = √12 ft

P=100 watts

Step-by-step explanation:

Step-by-step explanation:

1pound =0.4536kiligrams=,453.6grams

1square inch =2.54×2.54=6.4516

(32pounds/inch√2square

×453.6g)

(14515.2g/inch √2

÷6.4516)/6.4516

(2,262.34414)1cm√2

2262g/cm2

Answer:

$60 per week

Step-by-step explanation:

Answer:

that mean Mrs. Kimble gets about $18 everyday

Step-by-step explanation:

125 divided by 7 = 17 round up and its 18