You earn $9.50 per hour at your summer job. Write and solve an inequality to find the number of hours you need to work to buy a camera that costs $247. define the variable. create an inequality. Solve.

Answer:

1 bead left over

Step-by-step explanation:

Hi!

With this it looks like you need to divide and also have a remainder.

So what I like to do is actually round down your total to an even number.

So in this case 85 would round down to the even number of 84.

Now she uses 4 per bracelet so you want to do :

84 / 4

=

21

Alright so now we have to remember we took one bead off to make the number even.

That would be one bead since 85 - 84 = 1

So she made 21 bracelets and had 1 bead left over.

I hope this helps!

If you have any questions or concerns feel free to comment or message me! :)

Cost of 17 inches of wire = 68 cents

Cost of 1 inch of wire

= 68 cents/17

= 4 cents

Cost of 39 inches of wire

= 4 cents × 39

= 156 cents

= $1.56

Answer:

17 inches of wire costs 68 cents,

Step-by-step explanation:

x=234

b=456

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Answer:

8

Step-by-step explanation:

12-8=4

4 times 2 =8

Answer:

x=7/8

Step-by-step explanation:

x/8+3=10

x/8=7

x=7/8

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

20 (units)

Step-by-step explanation:

Sqrt of (x-x1)^2+(y-y1)^2

So define which coordinate is (x,y) and what (x1,y1)

I’m going to define (-10,-7) as (x,y) and (2,9) as (x1,y1)

So plug in your variables!

Sqrt(-10-2)^2+(-7-9)^2

Sqrt-12^2+-16^2

Sqrt144+256

Sqrt400

Answer:

B. one acute angle and two right angle

The three equations that pass through the points (–4, –16) and (5, 2) are equation 2 ,equation 3 and equation 4.

Given points:

(-4,-16) and (5,2).

slope m = y2-y1/x2-x1

= 2-(-16) / 5-(-4)

= 2+16 / 5+4

= 18/9

m = 2.

compare the given equations with standard equation y-y1 = m(x-x1)

Equation 1.

y + 4 = 2(x - 16)

y - (-4) = 2(x - 16)

on comparing we get,

m = 2

substitute (-4,-16) we get,

-16 + 4 = 2(-4 - 16)

-12 ≠ -40

this equation does not passes through the given points.

Equation 2.

y - 2 = 2(x -5)

here m = 2

substitute (-4,-16) we get,

-16 - 2 = 2(-4 - 5)

-18 = 18.

substitute (5,2) we get,

2 - 2 = 2(5 - 5)

0 = 0.

so this equation passes through the given points.

Equation 3.

y = 2x - 8

here m = 2

substitute (-4,-16) we get,

-16 = 2(-4) - 8

-16 = -16.

since slope of both equations is same if it passes through one point it can definitely passes through the another point.

so this equation passes through the given points.

Equation 4.

y + 16 = 2(x+4)

here m = 2

substitute (-4,-16) we get,

-16+16 = 2(-4+4)

0 = 0

since slope of both equations is same if it passes through one point it can definitely passes through the another point.

so this equation passes through the given points.

Therefore the three equations that pass through the points (–4, –16) and (5, 2) are equation 2 ,equation 3 and equation 4.

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Answer: B, C , D

Step-by-step explanation:

took in edg

Answer:

8

Step-by-step explanation:

square the whole equation to get

\( {m}^{2} + \frac{1}{ {m}^{2} } = 9\)

then minus one from both sides of the equation to get 8

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Change the numbers into an improper fraction. 6/3, then simplify it.

6/3 = 2

Answer:

Answer:

three hours every 1 book

Step-by-step explanation:

36-12

6-2

3-1

EDCB is a rectangle, so:

ED = BC = 12

DC = EB = 29

We know that,

= AB = AE + EB

= 34 = AE + 29

= 34 - 29 = AE

= 5 = AE

Now, in triangle EAD, by pythagonas theoram:

= H² = P² + B²

= H² = 5² + 12²

= H² = 25 + 144

= H = √169

= H = 13

So, AD = 13 cm

_________________

Simpooooool

Answer:

(49 - 29) + 1 =(50 - 29)

Step-by-step explanation:

The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):

29+20=49

49+1=50

(49 - 29) + 1 =(50 - 29)

20+1=21

50-29=21

hence, it was only nesseraty to subtract 29

Answer:  12 row plans

The first seat has 2 possible options, the 2 directors. The second seat has another 2 options. With each director comes 2 options for the second seat, so 2 x 2=4 possible options for the 1st and 2nd seats. The third seat has 3 options. That means for each combination of the 1st and 2nd seat, there are 3 possible options. 4x3=12 combinations.

Step-by-step explanation:

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.

How to find Revenue?

The amount of gross income generated by sales of goods or services is referred to as revenue (or sales revenue) in various contexts. Revenue can be calculated simply by multiplying the quantity of sales by the average service price or sales price:

Revenue = Sales x Average Price of Service or Sales Price

To find the projected revenue for the year ended December 31, Year 2, we can use the following formula:

Projected revenue = Current revenue * (1 + Expected revenue growth)

In this case, the current revenue is equal to the NOA, which is $3,532.1 million. The expected revenue growth is 5%, so the projected revenue is:

$3,532.1 million * (1 + 0.05) = $3,673.4 million

Therefore, The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.

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7.)

cbrt(1200)

10.63

8.)

sqrt(112)

10.58

Answer:

1.) because 10^3=1000 and 11^3 = around 1330  we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)

2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)

Step-by-step explanation:

Answer:

y= 2x-3  m=2 b= -3

Step-by-step explanation:

we distribute 2(x-2)

y-1 = 2(x-2)

y-1 = 2x-4

then add one to both sides

y-1= 2x -4

 +1       +1

since it is negative four and you are adding one it would be -3

y= 2x -3  that is your slope intercept form.

y= mx +b  so m=2 and b= -3

Answer:

57°

Step-by-step explanation:

Given line is straight line

then whole angle is 180°

then 180 - 123 = a = 57

Answer:

Step-by-step explanation:

What we know is:

We don't know:

So, we add both angles up to 180°:

Lets solve 180 - 123:

The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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See below for the response to each question

The study is experimental.

This is so because, the administer surveyed random college students

This is the total number of students in the college

Hence, the population of interest is the students in the college

This is the value that gives the required information.

Hence, the parameter of interest is the proportion of college students that work part-time

This is the students that were randomly surveyed

Hence, the sample in the study is the  2,512  students that were randomly surveyed

The statistic is the sample mean

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Answer:

Step-by-step explanation:

11 x .25 = $2.75

7 x .10 = .70

 Total $3.45

The probability of an adult having hypertension is  0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is  0.444.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.

a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.

b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.

c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.

d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.

e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.

f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).

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