A patrol officer used radar to note the speeds of cars, in miles per hour, as
they went by on the highway
65, 66, 63, 56, 56 50, 85, 61, 73, 81
How fast will the next car need to be going to change the median speed of
the cars to 63 miles per hour?
A. 80 miles per hour
B. 75 miles per hour
C 65 miles per hour
D 61 miles per hour

Answer:

y=-2/5x-9/5

Step-by-step explanation:

M= -2/5

(-2,-1)

y+1=-2/5(x+2)

y+1   = -2/5x-4/5

-1                  -1

y=-2/5x -9/5

Answer:

Steps:

1. The zero of a function is the x-value that, when plugged into a function, makes the function equal to 0.

2. f(x) means that we have a function of x.

3. The zero of the function f(x)=2x-2 is the x-value that makes f(x) = 0.

4. So we can just set the function equal to 0, and then solve for x!

Hope this helps

Step-by-step explanation:

Answer:

this is not a real triangle

Step-by-step explanation:

Step-by-step explanation:

just use step by step process so dum

Right - Left

1-2

2-3

3-4

4-1

Answer:

4yft57

Step-by-step explanation:

bc i said so

Answer:

75%

Explanation:

3 divided by 4 is 0.75, move the decimal right 2 places and add a percentage sign

Answer:

75% out of 100%

Step-by-step explanation:

Answer:

<1=73

Step-by-step explanation:

All triangles add up to 180 degrees!

Add 20 and 87

20+87=107

Subtract 107 from 180

180-107=73

Hope this helps! :)

Answer:

Cos=C

Step-by-step explanation:

Fax cause triangle=45  angle so 45/5=8

Answer:

£12.60

Step-by-step explanation:

let the cost of a child ticket be x then the cost of an adult ticket is x + 6

Sum the costs and equate to 45

x + 6 + x + 6 + 3x = 45 , that is

5x + 12 = 45 ( subtract 12 from both sides )

5x = 33 ( divide both sides by 5 )

x = 6.6

Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60

The cost of an adult ticket is £12.60.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Mr. and Mrs. Jones buy cinema tickets for themselves and their three children.

That means, there are two adults and three children.

The cost of an adult ticket is £6 more than a child ticket.

Let n be the cost of a child.

The cost of the five tickets is £45.

That means,

the equation,

2(n+6) + 3n = 45

n = 33/5

n = 6.6

The cost of an adult ticket is £12.60.

Therefore, the cost of an adult ticket is £12.60.

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Answer:

The vertex form will be:

[tex]y(x)=(x-2)^{2}+1[/tex]

Step-by-step explanation:

The equation of the vertex form of a quadratic equation is given by:

[tex]y(x)=a(x-h)^{2}+k[/tex]

Where:

a is a coefficient

h is the x value of the vertex

k is the y value of the vertex

To completing the square we just need to add and subtract the square of the term with x divided by 2.

[tex]y(x)=x^{2}-4x+(\frac{4}{2})^{2}-(\frac{4}{2})^{2}+5[/tex]

[tex]y(x)=x^{2}-4x+4-4+5[/tex]

[tex]y(x)=(x-2)^{2}-4+5[/tex]

Finally, the vertex form will be:

[tex]y(x)=(x-2)^{2}+1[/tex]

I hope it helps you!

Answer:

Step-by-step explanation:

I cannot find the value of x because 5x+35 is an algebraic expression, not an equation.

well i cant tell because you did not tell me how many kid tickets he bought

Answer:

8/9

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

(69,979)

Step-by-step explanation:

In the coordinates, x is represented as 69. We can now insert this into the equation.

y = 13x + 82

Now to insert x.

y = 13(69) + 82

Now we can multiply 13 by 69.

13*69 = 897

Now fix the equation.

y = 897 + 82

Now add to get our y.

897 + 82 = 979

Substitute into the equation.

y = 979

And there is our answer. We now need to put this into the coordinates.

And we get our final answer of (69,979).

Hope this helps. Have a nice day.

Answer:

30 m²

Step-by-step explanation:

What is the area of this triangle? A=bh/2 17 m² 30 m² 60 m² 120 m² Right triangle with height labeled 12 m, base labeled 5 m, and third side labeled 13 m.

Area of a triangle = bh/2

b = Base = 5m

h = Height = 12m

Area of the triangle = 5m × 12m/2

= 60m²/2

= 30 m²

Answer:30 m²

Step-by-step explanation:

Step-by-step explanation:

slope is 2-4/2-1 = -2/1 = -2

equation:

y-2 = -2(x-2)

y = -2x + 6

Answer:

1.95 ounces

Step-by-step explanation:

ounces in each bag = total ounces in 24 bags / number of bags

total ounces in 24 bags = 21 ounces of walnuts + 10.2 ounces of almonds + 15.6 ounces of cashews = 46.8 ounces

46.8 / 24 = 1.95 ounces

Answer:

1 and 1/3 Cups

Step-by-step explanation:

3/4 of the birdfeed is filled by 5.5 cups

3/4 x= 5.5

solve for x my multiplying by 4/3 to see how much space is left in the feeder

=1 and 1/3 space left

The cup needs 1 5/6 cups more birdseed to fill the bird feeder completely.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

If the bird feeder is 3/4 full after Trey poured 5 1/2 cups of birdseed, then we can find the total capacity of the bird feeder by dividing the 5 1/2 cups by 3/4:

5 1/2 / 3/4 = 22/4 / 3/4 = 22/4 x 4/3 = 88/12 = 22/3

So the bird feeder can hold 22/3 cups of birdseed when it's full.

Since the bird feeder is already 3/4 full, we need to fill the remaining 1/4 of the bird feeder

On simplifying the equation , we get

1/4 x 22/3 = 22/12 = 1 10/12 cups

Hence , we need 1 10/12 cups or 1 5/6 cups more birdseed to fill the bird feeder completely

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Answer:

Follow me please

Mark brainliest

Answer:

9 units²

Step-by-step explanation:

We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.

ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

3 x 3 = 9 units²

The area of square OPQR is 9 units².

Since

ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.

Also,

ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

So it can be like

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

= 3 x 3

= 9 units²

hence, The area of square OPQR is 9 units².

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Answer:

43 = x

Step-by-step explanation:

well so you have 127 degrees = (2x + 41)

so get the x by itself

127 - 41 = 86

2x + 41 - 41 = 2x

86 = 2x

86 / 2 = 43

2x / 2 = x

43 = x  

The value of x is 43°.

Here,

The iron cross is a skiing trick in which the tips of the skis are crossed while the skier is airborne.

A photo shows the tips of the skis crossed each other while performing iron cross in skiing.

Two pairs of opposite angles are formed during crossing.

One pair of the opposite angle is 127° and (2x + 41)°.

We have to find the value of x.

What is Vertically opposite angles?

The angles opposite each other when two lines cross called Vertically opposite angles.

Now,

Two pairs of opposite angles are formed during crossing.

One pair of the opposite angle is 127° and (2x + 41)°.

Clearly, Both angle are equal;

2x + 41 = 127

2x = 127 - 41

2x = 86

x = 43

Therefore, Value of x is 43°.

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Answer:

3

Step-by-step explanation:

Substitute x with 24

(24)/4 - 9

Divide

6 - 9

Subtract

3

Answer:

Step-by-step explanation:

PLEASE HELP EMERGENCY!!

Given f(x) = x2 – 10x + k, and the remainder

when f(x) is divided by x + 2 is 32, then what is

the value of k?