Janet walks a distance of 3/5 mile in 1/10 hour. What is the average speed Janet walks per hour?

Answer:

45.987

Step-by-step explanation:

Because its the number you get by rounding up

Answer:

Step-by-step explanation:

2 is the Greatest common factor

Given numbers:

30 , 48 , 2

Find:

Greatest common factor

Computation:

By taking LCM of given numbers

30 = 2 × 3 × 5

48 = 2 × 2 × 2 × 2 × 3

2 = 2

From the above LCM taking '2' as common factor.

So,

we say that, 2 is the Greatest common factor

Learn more:

https://brainly.com/question/11221202?referrer=searchResults

Answer:

[tex] {x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}[/tex]

Answer: 0.5 < x < 16.5.

Step-by-step explanation:

Given: Two sides of triangle: 8.0 units and 8.5 units

Measure of third side = x

According to the triangle's inequality,

If x is the third side, then

x < 8+8.5   [Using (i)]

i.e. x< 16.5  

Also, x > 8.5-8   [Using (ii)]

i.e. x> 0.5

Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

Answer:

0.5, 16.5

Step-by-step explanation:

Answer: 41,250$ (I think)

Step-by-step explanation:

1 hour —> 825$

40 hours —> 825$ x 40 = 33,000$

The after the 40 hours he gets paid x2 and he works for 5 hours

1 hour —> 825$ x 2 = 1,650$

5 hours —> 1650$ x 5 = 8,250$

33,000 + 8,250 = 41,250$

Step-by-step explanation:

loss times 100 divided by cost price

10/25 ×100

=40%

Answer:

A, D, and F

Step-by-step explanation:

First off, we're not given the hypotenuse's length, so let's use the Pythagorean Theorem to find it:

[tex]1^2+3^2=c^2\\1+9=c^2\\10=c^2\\c=\sqrt{10}[/tex]

With that, we can refer to SOH-CAH-TOA to help us find sine, cosine, and tangent:

SOH (Sine = Opposite/Hypotenuse)

[tex]\sin{\theta}=1/\sqrt{10}=\sqrt{10}/10[/tex]

CAH (Cosine = Adjacent/Hypotenuse)

[tex]\cos{\theta}=3/\sqrt{10}=3\sqrt{10}/10[/tex]

TOA (Tangent = Opposite/Adjacent)

[tex]\tan{\theta}=1/3[/tex]

From this, we can see that A matches up with sine, and we can eliminate B and C.

Cosecant, secant, and cotangent are all reciprocals of the three basic trig ratios:

[tex]\csc{\theta}=1/\sin{\theta}=\sqrt{10}\\\sec{\theta}=1/\cos{\theta}=\sqrt{10}/3\\\cot{\theta}=1/\tan{\theta}=3[/tex]

D matches with cosecant, and F matches with cotangent, so the correct trig rations for θ are A, D, and F.

Answer:.

Step-by-step explanation:

Answer:

x=-3..hope this is right

Answer:

A

Step-by-step explanation:

A is correct on Khan academy!

Answer:

(-11,-4) and (-5,-7)

Step-by-step explanation:

the rule (x,y)→(x−7,y+2) means the x-value of the coordinate decreases by 7, and the y-value of the coordinate increases by two.

Apply the rule to the 1st question by plugging in the coordinates:

(x,y)→(x−7,y+2)

(−4,−6)→((-4)−7,(-6)+2)

(−4,−6)→(-11,-4)

Let's use the same process for the 2nd question:

(x,y)→(x−7,y+2)

(2,−9)→((2)−7,(-9)+2)

(2,−9)→(-5,-7)

Answer:

36mimutes

Step-by-step explanation:

Answer:

Line B → y = ½x + 1

_______________

For question 12, the answer is y = ½x + 1.

None of the lines graphed on question 12 have an equation of y = -2x + 2.

Answer:

2a: 5

2b: 7

2c: 10

2d: 2

2e: 3

2f: 2

Step-by-step explanation:

To solve all of these you just get the variable (x) by itself

2A: 9x-41=39-7x

Add 7x from both sides and then add 41 to get

16x=80

Divide by 16 and get x=5

2B: 3x-13=50-6x It's the same process as before for this question

Add 6x and 13 to both sides to get

9x=63

divide by 9 and get x=7

2C: 5x-17=83-5x

Add 5x and 17 to both sides

10x=100

divide by 10

x=10

2d: 13x-16=24-7x

Add 7x and 16 to both sides to get

20x=40

divide by 20 and get x=2

2e: 12x-13=53-10x

Add 10x and 13 to both sides to get

22x=66

divide by 22 and get x=3

2f: 17x-21=51-19x

Add 19x and 21 to both sides and get

36x=72

divide by 36 and get x=2

Answer:

2+6=9 that give u 816

Step-by-step explanation:

Answer:

The total monthly cost would be $214

Step-by-step explanation:

This is rather simple. They gave us 1,250, which is half of 2,500. Simple multiplication:

1,250  =   2,500

107    =      x

2 ×  1,250 = 2,500

2 × 107 = 214

Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.

Answer:

[tex]4P+2G=96\\3P+1G=60 or 3P+G=60[/tex]

Step-by-step explanation:

Given in the question:

a) A family paid $96 for 4 pool passes and 2 gym memberships.

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60.

Let's write the system of equation for each purchase that happened in the scenario.

Let,

P= Price of each pool passes

G= Price of each gym membership

We get,

a) A family paid $96 for 4 pool passes and 2 gym memberships:

[tex]4P+2G=96[/tex]

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60:

[tex]3P+1G=60[/tex]

Therefore, the equations generated in the scenario were:

[tex]4P+2G=96\\3P+1G=60 or 3P+G=60[/tex]

Where,

P=Price of each pool passes

G=Price of each gym membership

PLEASE MARK ME AS BRAINLIEST

Answer:

742.6 your answer as you tell mark me brainlest

Answer:

a)60°

b)BD=10

c)AB=20

d)100√3

Step-by-step explanation:

B

let's BD be x

according to the question

[tex] \tan( {30}^{o} ) = \frac{x}{10 \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{3} }{3} = \frac{x}{10 \sqrt{3} } [/tex]

[tex]3x = 10 \sqrt{3} \times \sqrt{3} [/tex]

[tex]3x = 30[/tex]

[tex]x = 10[/tex]

c)

according to Pythagoras theorem

a²+b²=c²

c=√a²+b²

c=√10²+(10√3)²

c=√100+300

c=√400

c=20

D)

the two triangles are congruent

so AC=2(10√3)

=20√3

as we know

area of a triangle =

½bh

=½×20√3×10

=10√3×10

=100√3

Answer:

84

Step-by-step explanation:

13^2+84^2=85^2

Answer:

26.40+257.60=

284

284÷18

15.7

Answer:

8.5

Step-by-step explanation:

Given that;

The longest side of an acute isosceles triangle = 12 centimeters

Since the two remaining sides are congruent, then they both have the same length ;

Let the length of the two remaining sides = 2x,

The length of each side :

Length of longest side / sqrt(2)

x = 12 /sqrt(2)

x = 12 / 1.4142135

x =8.4852813

x = 8.5

Answer:

D

Step-by-step explanation:

Answer:

=x-1

Step-by-step explanation:

x2+2x−3

x+3

=

x2+2x−3

x+3

=

(x−1)(x+3)

x+3

=x−1

Answer:

100(g+b)=307

Step-by-step explanation:

equation

g=307÷1000

Answer:

- Rugby = (50 x 12) / 25 = 24

- Football = (24 x 4) / 3 = 32

How many students pick football: 32 students.

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

E. 443.4 ft²

Step-by-step explanation:

Since it is a regular triangle, it means all three sides are of equal lengths and all angles are of the same degree measure.

Therefore, all sides = 32 ft each

Each equal angle = 60° (sum of all angles = 180)

The area of the triangle can be calculated using the formula, ½*a*b*sin(C),

Where,

a = 32 ft

b = 32 ft

C = 60°

Plug in the values

Area = ½*32*32*Sin(60)

Area = 443.4 ft² (nearest tenth)