Find the unit rate of the following:
(miles per hour)
22.75 miles in 3.5 hours =

Answer:11/29

Step-by-step explanation:

The numerator is alredy given as 11 students play both an instrument and a sport. Denominator is how many students in the class which is 29.

Answer:

17/24

Step-by-step explanation:

1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.

2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.

3. Now that the denominators are the same, add the numerators and keep the denominator for now.

4. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.

Answer:

X < 2

If you need an explanation, feel free to leave a comment

Cheers! :)

Answer:

141 coins

Step-by-step explanation:

Given that Mark has a total of 380 coins(assumed to be shared amongst Albert,Casey, Lily and Logan)

Albert= x

Casey= 2x

Lily= 2x+5

Logan=3x

There's a total of 380 coins

x+2x+2x+5+3x= 380

8x+5=380

8x=380-5

x=375/8

x= 46.9

Therefore Logan's coins = 3x= 3×46.9= 140.61 coins

Approximately Logan's coins =141 coins

Given:

The set of data points on the graph.

To find:

The equation of line that connects the set of data points.

Solution:

From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let as consider the line passes through (20,40) and (50,60), then the equation of line is

[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]

[tex]y-40=\dfrac{20}{30}(x-20)[/tex]

[tex]y-40=\dfrac{2}{3}(x-20)[/tex]

Multiply both sides by 3.

[tex]3(y-40)=2(x-20)[/tex]

[tex]3y-120=2x-40[/tex]

Isolate variable terms.

[tex]-2x+3y=120-40[/tex]

[tex]-2x+3y=80[/tex]

Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].

Answer:

36

Step-by-step explanation:

The angles of a triangle have a sum of 180 degrees. This is an isosceles triangle indicated by the red markers on sides ED and EF. This means that the sides and angles are congruent.

Subtract 108 from 180 and divide that by 2.

180-108 = 72

72/2 = 36

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Answer:

-31

Step-by-step explanation:

hope this helped! <3

Answer:

the solution is in the figure

the number is -5

Answer:

11x20

Step-by-step explanation:

15=5 equals 20 so 11x20 is 220

Answer:

x = 15 ounces

Step-by-step explanation:

A mixture is made with two types of solutions.

Solution A - 45 ounces of 10% saline solution

Solution B - x ounces of 70% saline solution

Resulting mixture - (x + 45) ounces of 25% saline solution

To get the value of x, equation will be,

(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25

4.5 + 0.70x = 0.25x + 11.25

0.25x - 0.70x  = 4.5 - 11.25

-0.45x = -6.75

x = [tex]\frac{6.75}{0.45}[/tex]

x = 15 ounces    

Answer:

Phone used 11,500 centimeters of yarn

Step-by-step explanation:

So first we know that 1 meter is equivalent to of 100 centimeters

Now lets convert everything into centimeters

197*100=19700

And thats it

Now we know she started with 19700 centimeters of yarn and has 8200 centimeters left over.

We can make an equation

We can make “x” stand for amount of yarn used.

19700-x=8200

Minus x becuase thats how much she used and equal 8200 becuase Thats what was left over

Now use inver operations

-x=-11,500

Now divide - on both sides

x=11,500

She used 11,500 centimeters of yarn

Answer:   11,500 centimeters of yarn

Step-by-step explanation:

Answer:

Area = 56mm²

Step-by-step explanation:

Area of a trapezium/trapezoid

[tex] = \frac{1}{2} \times h \times (a + b)[/tex]

[tex] = \frac{1}{ 2} \times 7 \times (4 + 12)[/tex]

[tex] = \frac{7}{2} \times16[/tex]

[tex] = 7 \times 8[/tex]

[tex] = 56[/tex]

Answer:

h=√p^2+b^2

13 = √x^2+(x+7)^2 now you can solve

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + (x + 7)² = 13² ← expand and simplify left side

x² + x² + 14x + 49 = 169 ( subtract 169 from both sides )

2x² + 14x - 120 = 0 ( divide through by 2 )

x² + 7x - 60 = 0 ← in standard form

(x + 12)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 5 = 0 ⇒ x = 5

But x > 0 , thus x = 5

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

So

x + x + 50° = 90°

2x = 90° - 50°

2x = 40°

x = 40°/2

x = 20°

x + 50 = 20 + 50 = 70°

Hope it helps :)

Answer:

let 1st angle be x

and another angle be x+50°

two angles are said to be complementary,if the some of their measures is 90°

so,

x+x+50=90

2x+50 =90

2x=90-50

x=40/2

:-x= 20 ....... 1st angle

another angle (x+50)=20+50=70°

Answer:

The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).

Step-by-step explanation:

Given that:

Line passes through the point = (-1, -4)

Slope of the line = -3

Point slope form of a line is given by;

[tex]y-y_1=m(x-x_1)[/tex]

Here,

x1 = -1 , y1 = -4 and m = -3

Putting the values in the point-slope form of the equation,

y-(-4) = -3(x-(-1))

y+4= -3(x+1)

Hence,

The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).

Answer:

1) 4    2)1/5   X=10

Step-by-step explanation:

Small to large is a fraction

Large to small is a whole number

Answer:

[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]

Step-by-step explanation:

We are given the value of x:

[tex]x= (4/5)^{-2}[/tex] divided by [tex](1/4)^2[/tex]

We need to find the reciprocal of x or:

[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]

Operating:

[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]

[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]

[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]

Answer:

um sorry i wish i could help but mabye post a specfic

question Step-by-step explanation:

Answer:

$115.43

Step-by-step explanation:

From the above question:

1 hour of work = $8.55

13.5 hours of work = x

Cross Multiply

x = 13.5 × $8.55

x = $115.425

Approximately to the nearest hundredth = $115.43

If John works 13.5 hours, the amount of money he makes = $115.43

Answer:

I think i would be 2hours and 30 mins. Srry if it's wrong

Step-by-step explanation:

Answer:

Yes I will always help someone in need. Your answer is x= >12/5

Step-by-step explanation:

Add me and ask any question.Please give me Brainiest

Answer:

5. 8(a-5)= -40

8a-40= -40

8a= -40+40

8a=0

a=0/8

a=0

option c is correct.

6. for d,

-1<d<1

I think the answer is option d , which is missing in the attachment.

the 4 question is missing.

so I am not able to answer that

Answer:

9

Step-by-step explanation:

270/30=9

Answer:

London

Step-by-step explanation:

Euro= 1.14 x 5

5.70

Answer:

y=6x+1

Step-by-step explanation:

count from your first point (0,-5) then count up to positive 1 on the y-axis, then go over 1 and you are at your other point. when you count up that is your slope. when you count over that is your b