Conner walked 10 miles in 5 hours. What was his walking rate in miles per hour?

Answer:

[tex]\rm \dfrac{\sqrt2}{2}[/tex]

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

[tex]\rm\implies cos\theta =\dfrac{base}{hypotenuse} [/tex]

In the given triangle ,

On substituting the respective values ,

[tex]\rm\implies cos45^\circ =\dfrac{1}{\sqrt2} [/tex]

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

[tex]\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)} [/tex]

Simplify ,

[tex]\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}[/tex]

→ You will pay $ 89.7.

The tip value is based on the bill value. Hence, to find the total payment you have to multiply 78 by 1.15 (this includes the tip, 1.15).

[tex]\Large \text {$Total = 78 \times 1.15 = 89.7 $}[/tex]

Or you can first find how many 15% is from $78:

[tex]\Large \text {$0.15 \times 78 = 11.7$}[/tex]

And then add this to $78:

[tex]\Large \text {$78 +11.7 = 89.7$}[/tex]

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Answer:

$89.70

Step-by-step explanation:

15/100=0.15

78 * 0.15 =89.70

Answer:

y = 10

x = 25

Step-by-step explanation:

From the U theorem the sum of these two angles 120+2x+y = 180

same goes for the bottom part too:

2x-y+140 = 180 now add two equations up

120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)

4x + 260 = 360 subtract 260 from both sides

4x = 100 divide both sides by 4

x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25

2*25 - y + 140 = 180

50 - y + 140 = 180 add like terms

190 - y = 180 subtract 190 from both sides

-y = -10 and y = 10

Answer:

24 g

Step-by-step explanation:

60/100x40

2400/100

24

Answer:

2.4%

Step-by-step explanation:

Answer:

2.4 percent

Step-by-step explanation:

Answer:

About 182 cartons will be filled in 6.5 hours.

Step-by-step explanation:

Multiply 6.5 by 28 to get 182

Answer:

The answer is 182

Step-by-step explanation:

28 x 6.5 = 182. if the machine fills 28 cartoons in a hour and you leave it running for 6.5 or 6 hours and 30 minutes that will be 182 cartoons filled in that amount of time.

Answer:

(2+3y=12) that is the simplify form

Answer:

hey do you want money if yes then tell me I will give you 1000$

Answer:b- 4,000

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It is B because

4000-800=3200

then

3200+800=4000

so he answer is B.4000  

Answer:

Vertex form: f(x) = – (x – 3)² – 1  

vertex: (3, -1)

Step-by-step explanation:

Given the quadratic function, f(x) = -x²+ 6x -10:

where a = -1, b = 6, and c = -10

The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.

To find the vertex, (h, k), you need to solve for h by using the formula:  [tex]h = \frac{-b}{2a}[/tex]

Plug in the values into the formula:

[tex]h = \frac{-b}{2a}[/tex]

[tex]h = \frac{-6}{2(-1)} = 3[/tex]

Therefore, h = 3.

Next, to find the k, plug in the value of h into the original equation:

f(x) = -x²+ 6x -10

f(x) = -(3)²+ 6(3) -10

f(x) = -1

Therefore, the value of h = -1.

The vertex = (3, -1).

Now that you have the value for the vertex, you can plug these values into the vertex form:

f(x) = a(x - h)² + k

a =  determines whether the graph opens up or down, and makes the parent function wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Plug in the vertex, (3, -1) into the vertex form:

f(x) = – (x – 3)² – 1  

This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

Answer:

a) independent: area to be painted in sq ft

dependent: amount of paint needed in gallons

b) independent: amount of milligrams

dependent: amount of sleep

Step-by-step explanation:

Easy tip to remember that is almost always right:

Your X variable is always independent, and your Y variable is always dependent.

If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"

Which variable depends on your other variable? Would help you find your dependent variable.

It makes sense that, the number of paint you need depends on how much sq ft you are painting.

Answer:

a) Independent variable: x (area to be painted)

   Dependent variable: y (amount of paint needed)

b) Independent variable: x (amount of medication)

    Dependent variable: y (amount of sleep)

Step-by-step explanation:

Independent variables are variables that do not depend on other variables to determine their values.

Dependent variables are variables that depend on other variables to determine their values.

Answer:

The associative property

Step-by-step explanation:

:/ wait its u again lol

Step-by-step explanation:

= [tex]\frac{9}{100}[/tex] × [tex]2005[/tex]

= [tex]\frac{3609}{20}[/tex]

= [tex]180\frac{9}{20}[/tex] or 180.45

please give me a brainliest answer

Answer:

meat = $2.40

vegetables = $ 2.40

fruit = $2.40 + X

= 2.40 ÷ 2

= 1.2

therefore 2.40 + 1.2

=$3.6 (For fruits )

= $3.6 + $2.40 + $2.40

= $ 8.4

Hope this helps .Plzz mark me brainliest

The total cost of the meat, vegetables and fruit is $8.4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.

The cost of the meat is $2.40.

Let the total cost of the meat, vegetables and fruit be x.

Now, 2+2+3=7

So, 2/7 ×x=2.40

2x=2.40×7

2x=16.8

x=8.4

Therefore, the total cost of the meat, vegetables and fruit is $8.4.

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Step-by-step explanation:

the answer is B.

yes it is

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.

Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230

The distribution of students :

Recall :

Since, selection is done without replacement :

P(both are 11th graders) = (18/37) + (17/36) = 0.230

Therefore, the probability that the two selected students are 11th graders is 0.230

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Answer:

[tex]49[/tex]

Step-by-step explanation:

[tex]→7×7[/tex]

[tex]→49[/tex]

Answer:

it consumes 5040 watt hour in 3 days and 12 hours. Happy to Help :)

Step-by-step explanation:

Answer:

X = 126

Step-by-step explanation:

180 - 54 = 126

54+x=180

Answer:

45:56.25:78.75

Step-by-step explanation:

a triangle=180º total

4+5+7=16

180÷16=11.25

The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The ratio of the interior angles of a triangle = 4 : 5 : 7

Now,

Find the interior angles of a triangle as;

Since, The ratio of the interior angles of a triangle = 4 : 5 : 7

Hence, First angle = 4x

Second angle = 5x

Third angle = 7x

Since, The sum of all the angles in a triangle = 180°

So, We can formulate;

⇒ 4x + 5x + 7x = 180

⇒ 16x = 180

⇒ x = 180/16

⇒ x = 11.25

Thus, First angle = 4x

                          = 4 × 11.25

                          = 45°

Second angle = 5x

                     = 5 × 11.25

                     = 56.25°

Third angle = 7x

                  = 7 × 11.25

                  = 78.25°

Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

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Answer:

c

Step-by-step explanation:

cause

Answer:

5

Step-by-step explanation:

7 x 5 =  35

35 + 3 = 38

Answer:

x = 3.236

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2(x+9)+142=180       corresponding angles are equal and angles on a straight line=180

2(x+9)=180-142

x+9=38/2

x=19-9

x=10

Answer:

16) 19/4

17) -1

18) equiangular

19) (n-2) x 180

20) 0,1

21) sector

22) 20

23) n(n-3)/2

24) 144

25) Raw

Answer:

Step-by-step explanation:

69.15 rounded off to the nearest hundredth is 69.15...