Dave started at the black dot and traveled the distance shown on the map on his bike. The length of the section in red is not known.

About how far did Dave travel on his bike?

The place value of 8 on multiply by 10 becomes tens

The place value of the 8 in 0.80 by multiply with 10 becomes ones

Teh place of 5 on dividing with 10 becomes tenths

The place of 6 from 0.60 on divide by 10 becomes tenths

We were told that the recycling center processed 36,000 pounds of recyclable materials. We would convert from pounds to tonnes. Recall,

1 tonne = 2000 pounds

Thus, x tonnes = 36000 pounds

By cross multiplying, we have

2000x = 36000

x = 36000/2000

x = 18

18 tons of recyclable materials were processed

It is given that,

Interest is given by the formula,

Substituting the value in the formula,

Thus the minimum amount to be borrowed is $ 1785.71.

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So we have

So we can apply the rule to obtain

To find the mean we will sum the prices (total price, including repeated values) and divide by the total number of computers, then

Using a calculator

Do the division (use a calculator)

The mean price is 1329.41

Answer:

the number of adult ticket sold is 570

Explanation:

Let x represent the number of adult ticket and y represent the number of child's ticket.

Given that he charges $5 for an adult's ticket and $2 for a child's ticket.

For one event, he sold 785 tickets.

So, we have;

he sold 785 tickets for $3280.

Then;

let us solve by substitution.

make y the subject of formula in equation 1 and substitute to equation 2;

substituting to equation 2;

Therefore, since x represent the number of adult tickets sold, then the number of adult ticket sold is 570

Jerry and Steve each had 24 candy bars, that is, the total candy bars are 48:

If Jerry sold 50% of his candy bars, it means that he sold one half of the total, then, he sold 12 bars.

Steve sold 6 candy bars.

Then, they both sold 12 + 6 = 18 candy bars together.

The fraction of the total candy bars is then:

18/48 = 9/24 = 3/8

To have infinite solutions, both sides of the equation must be equal, we have to end with a statement that is true no matter what:

-14x+P = Qx+18

-14x = Qx

So, Q must be -14

-14x = -14x

For the next term

P = 18

So:

-14x+18 =-14x+18

Values:

P =18

Q=-14

The domain restrictions that apply on the given rational expression are that x can neither be 0 nor 7.

We are given the rational expression:-

[tex]\frac{(14-2x)}{(x^2-7x)}[/tex]

We have to find the domain restrictions that apply on the given expression.

We know that in a fraction, denominator cannot be 0, or else it will make the fraction indefinite.

Hence, by putting the denominator as 0, we will get the domain restrictions of the expression.

[tex]x^2-7x=0[/tex]

x(x - 7) = 0

x = 0 and 7

Hence, the domain restrictions that apply on the given rational expression are that x can neither be 0 nor 7.

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For this problem we have the following two inequalities given:

And we want to find the point of solution to the system of inequalities and for this case we can work with equations

If we solve for x from equation (1) we got:

And replacing equation (3) into equation (2) we got:

And solving for x we got:

So then the intersection point between the two lines is (0.8,1.6). If we analyze all the possible options we have this:

(1,2)

From the given figure, we have:

We have the next information

Bill $42

tax 9%

tip 18%

if the total is 42

the tax will be

42*.09=$3.78

the tip will be

42*.18=$7.56

Given:

first, we will find the result of dividing 20 by 5, then multiply the result by 3.8

so, the answer will be as follows:

So, the answer will be 15.2

Given the Right Triangle shown in the exercise, you need to use the following Trigonometric Function in order to find the measure of "x":

In this case, you can identify that:

Then, by substituting values and solving for "x", you get:

Hence, the answer is:

Find 7•(1-6p)

First eliminate parenthesis

Apply distributive law

a•(b+c) = ab + ac

Then

7•(1-6p) = 7•1 - 7•6p

. = 7 -42p

ANSWER IS

7 - 42p

Step 1 : Let's review the information provided to us to answer the question correctly:

Fresh flower price = $ 1.50

Delivery = $ 10

Bouquets per flower = $ 4.00

Step 2:

Let x to represent the number of flowers, either fresh or in bouquet

Recall that the equation of a line in slope-intercept form is given by

Where m is the slope and b is the y-intercept of the line.

The y-intercept is the point where the line intersects the y-axis.

From the graph, we can see that the line intersects the y-axis at y = -3

So, the y-intercept is -3

The slope of the line is given by

The rise is the vertical distance between the two points on the line.

The run is the horizontal distance between the two points on the line.

So, the equation of the line is

Therefore, option A is the correct answer.

Answer:7,9

Step-by-step explanation: The smallest number is 7 and the biggest number is 9

In the case of two not mutually exclusive events, we have that, given events A and B,

Notice that if we only include the first two contributions, we would count the intersection of the two events twice; therefore, we must subtract the probability of its intersection once.

In our case,

Therefore, the answer is 10/11.

Given the figure, we can deduce the following information:

Perimeter = 65 in.

length = n

width = 11 2/4 in. = 23/2 in.

To determine the value of n, we use the formula:

where:

P= Perimeter

l=length

w=width

We plug in what we know:

Therefore, the value of n is 21 in.

Given:-

A rectangular piece of metal is 25 in longer than it is wide Squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1530 in.

To find the original width.

The formula for volume of the box is,

The volume given is 1530.

Also we have,

Substiutiting the values. we get,

Divide both sides by 5,

So,

So now we get,

Now we solve the quadratic equation,

So now we skip the negative value and take the positve value 19.

So the required value is 19.

Answer:

The solution is 6,375

Step-by-step explanation:

[tex] \sf 6 \frac{3}{8} \\ \\ = \sf \frac{6 \times 8 + 3}{8} \\ \\ \sf \frac{48 + 3}{8} \\ \\ = \sf \frac{51}{8} \\ \\ = \sf 51 \div 8 \\ \\ = \sf6.375[/tex]

The give figure is of a triangle WXY right angled at X.

From the figure, WY=10 and

Using trigonometric property in the triangle,

Therefore, WX=7.2.

Number of bowls: 5

Bubble wrap = 11 feet

To find how many bubble wrap he used for each bowl, divide the bubble graph length by the number of bowls.

11 / 5 = 2.2

2.2 feet for each bowl

Let's draw a picture of our problem:

where the red point (100 East, 200 Norh) represents the place where Archaeologist found the dinosaur. The blue point (100 East, 300 South) represents the place where Arcaeologist found the whale bones. Additionally, the green point (0,0) represents Arcaeologist's offfice.

Note that in any sine function :

Amplitude = A

Verical Shift or midline = D

Period = (2π)/B

Horizontal or Phase Shift = C

From the given,

since we dont have any horizontal shift, C = 0.

Amplitude = 5, so A = 5

Midline = 4, so D = 4

and

Period = 3/2, so equating it to (2 π)/B

Now, substituting the values obtained, the sine function will be :

The given pattern starts with an 18, then we have a 12, we can go from 18 to 12 by subtracting 6 from the initial number. By subtracting 6 from 12, we get the number that goes on the right side of 12, that is:

12 - 6 = 6

Then, fill the missing number with a 6.

18, 12, 6, 0

Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

We can solve the linear equation by isolating the "x" variable on the left side.

Marco's travel must be shorter or equal to 92 miles.

we know that

To find out the minimum amount of shrink, you need to calculate the surface area

The surface area of the figure is equal to the area of its two triangular faces and its three rectangular faces

so

SA=2[(1/2)(4)(2.2)]+(3)(4)+(2.2)(3)+(3)(4.6)

SA=8.8+12+6.6+13.8

SA=41.2 in^2

She has an expected income of $1250.

The total expenses are $490 + $529.50 = $1019.50.

She has a superavit that she can save. This amount is $1250 - $1019.50 = $230.50.

Answer: the budget balance does not balance because the income is greater than the expenses.