Brian walk 1 1/4 miles in 5/12 hour. What is Brian's unit rate?

Answer:

40

Step-by-step explanation:

Answer:

(x=0, y=11)

(x=2, y=9)

Step-by-step explanation:

first equation substitution for x first.

y=11-x

plug into 2nd equation

(x+2)^2+(11-x-7)^2=20

this should lead you into a quadratics equation.

you get x=0, x=2.

do the same for y value this time, subbing in the x value

(11-y+2)^2+(y-7)^2=20

this also leads into a quad equation

solve and you get y=11, and y=9

Answer:

x = -2, y = 21

Step-by-step explanation:

Let 4x + y = 13 to be equation1 {eqn1}

and let 5x - y = 5 to be equation2 {eqn2}

Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.

Notice how the value of y is the same in both equations. That's a good sign.

But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.

So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.

You would have:

-1 * (4x + y = 13)

+1 * (5x - y = 5)

This would result in;

-4x -  y = -13 (eqn3)

5x - y = 5 (eqn4)

So, just subtract eqn3 from 4

You would have;

(5x - -4x) + (-y -- y) = (-13 - 5)

9x + 0 = -18

x = -18/9 = -2

and to find y;

just substitute the value of x into any of the 4 equations. let's try equation 1

Therefore;

4(-2) + y = 13

-8 + y = 13

y = 13 + 8 = 21

Answer:

Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability

Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability

Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability

Step-by-step explanation:

The probability of the given events is:

According to the question,

Number of outcomes = 8

Event A:

Having the alternative even and odd numbers.

→ [tex](EOE, OEO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event B:

No even number and last two rolls.

→ [tex](EOO,OOO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event C:

Exactly on odd number:

→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]

Thus the above approach is correct.

Learn more about probability here:

https://brainly.com/question/11234923

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

Answer:

90,56,7867,45,89,45,24,67

Answer:

-5a-4

Step-by-step explanation:

7a-8-12a+4

7a-12a-8+4

=-5a-4

Answer:

3.25 or 3 1/4

Step-by-step explanation:

Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)

1/3 / 1/6 turns into 1/3 * 6

Reduce the numbers:

3/4 + (1/3 * 6) + 1/2

cross multiplication, 6 divided by 3 = 2.

So the new equation is 3/4 + 2 + 1/2

Then you calculate.

3/4 + 2 + 1/2 = 13/4

13/4 reduced is 3 1/4 or 3.25

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

Answer:

Step-by-step explanation:

-5.25+2.25         - 3

1-0.5                 = 0.5

=-6 =m

y=-6x

Answer:

Which of the following sets of possible side lengths forms a right triangle?

6, 12, and 13

9, 40, and 45

12, 35, and 38

Step-by-step explanation:

[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]

Answer: I think you’re right??

Step-by-step explanation:

Answer: the 1st one.

Step-by-step explanation: becuase today I was helping out a freind with this.  So it the first one

Answer:

Step-by-step explanation:

Property of the kite: diagonals are perpendicular

Perimeter is the sum of the side lengths:

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Answer: 27 ounces of chicken.

Step-by-step explanation:

Sara has 2 pounds of chicken.

She uses 5 ounces of chicken.

So now, she has:

(2 pounds - 5 ounces ) of chicken.

To perform this subtraction, we first need to write bot quantities in the same units.

First, we know that:

1 pound = 16 ounces.

Then we can rewrite 2 pounds, this is equal to 2 times 16 ounces.

2 pounds = 2*16 ounces = 32 ounces.

Then initially she has 32 ounces, and she uses 5 ounces.

Now she has:

(32 ounces - 5 ounces) = 27 ounces of chicken

Answer:

x=3

Step-by-step explanation:

Subtract 5 from both sides:

2x=6

Divide both sides by 2:

x=3

Answer:

3

Step-by-step explanation:

2x+5=11

subtract 5 from both sides of the equation

Then divide by two to both sides of the equation

Answer:

-1

Step-by-step explanation:

12 + -13 = -1

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5/24

Step-by-step explanation:

-3/4 = -6/8

-6/8 + 1/8 = -5/8

|-5/8| = 5/8

2/3 = 4/6

4/6 + 1/6 = 5/6

5/8 - 5/6  =  15/24 - 20/24

15/24 + (-20/24) = -5/24

Step-by-step explanation:

a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.

1 answer

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

[tex]R = -400x^{2} +7200x+70000[/tex]

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

How the variable [tex]x[/tex] represents the price increase, we can do the formula below:

In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:

We operate the values:

Solve we can:

And organize:

At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:

Answer:b and c

Step-by-step explanation:

Answer:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

[tex]Cost = \$1.05[/tex]

Step-by-step explanation:

Given

[tex]Volume = 100in^3[/tex]

[tex]Cost =\$0.014[/tex] -- Top and Bottom

[tex]Cost =\$0.007[/tex] --- Sides

Required

What dimension of the cylinder minimizes the cost

The volume (V) of a cylinder is:

[tex]V = \pi r^2h[/tex]

Substitute 100 for V

[tex]100 = \pi r^2h[/tex]

Make h the subject

[tex]h = \frac{100 }{\pi r^2}[/tex]

The surface area (A) of a cylinder is:

[tex]A = 2\pi r^2 + 2\pi rh[/tex]

Where

[tex]Top\ and\ bottom = 2\pi r^2[/tex]

[tex]Sides = 2\pi rh[/tex]

So, the cost of the surface area is:

[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]

[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]

[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]

Open bracket

[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]

[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]

To minimize, we differentiate C w.r.t r and set the result to 0

[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Set to 0

[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Collect Like Terms

[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]

Cross Multiply

[tex]0.056\pi r *r^2= 1.4[/tex]

[tex]0.056\pi r^3= 1.4[/tex]

Make [tex]r^3[/tex] the subject

[tex]r^3= \frac{1.4}{0.056\pi }[/tex]

[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]

[tex]r^3= \frac{1.4}{0.17584}[/tex]

[tex]r^3= 7.96178343949[/tex]

Take cube roots of both sides

[tex]r= \sqrt[3]{7.96178343949}[/tex]

[tex]r= 1.997[/tex]

Recall that:

[tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]

[tex]h = \frac{100 }{12.52}[/tex]

[tex]h = 7.987[/tex]

Hence, the dimensions that minimizes the cost are:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

To calculate the cost, we have:

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]

[tex]Cost = \$1.05[/tex]

Answer:

its 0.5

Step-by-step explanation:

just subtract 2.1 and 1.6

Answer:

Step-by-step explanation:

For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).

For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).

Choose 6 of them. Repetition is allowed, and order matters.

There are 10⁶ possible choices.

There are 8×10⁶ possible phone numbers.

Answer:

They are 10 units away from the treasure

Step-by-step explanation:

Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.

Answer:

d?.............................