Caleb is saving money to buy a bike next year. He makes $75 per week babysitting. So far he has saved $150. Write an inequality to show how many weeks he must babysit so he has at least $800 to spend on the bike, then solve the inequality.

Answers

Answer 1

Answer:

x>8.6

Step-by-step explanation:

We want to model an expression for the amount of money Caleb has and how many week he must work to have that amount

given data

amount at hand=$150

weekly saving=$75

let the number of weeks be x

total amount= $800

the expression for this situation is given as

y=mx+c

where y=800

m=75

c=150

substituting we have

800=75x+150

solving for x we have

800-150=75x

650=75x

x=650/75

x=8.6

then he must work for x>8.6 weeks


Related Questions

The interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 Which explains whether or not 12 is an outlier? Twelve is an outlier because it is greater than the sum of 7 and 4. Twelve is an outlier because it is less than the sum of 7 and 6. Twelve is not an outlier because it is greater than the sum of 7 and 4. Twelve is not an outlier because it is less than the sum of 7 and 6.

Answers

Answer:

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. ... Examination of the data for unusual observations that are far removed from the mass of data. These points are often referred to as outliers. Which explains whether or not 12 is an outlier? Twelve is not an outlier because it is less than the sum of 7 and 6.

Step-by-step explanation:

In the given dataset, twelve is not an outlier because it is less than the sum of 7 and 6.

The outlier of a dataset is the date that are distant from other values of the dataset.

Given that:

[tex]S = \{ 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12\}[/tex] --- the dataset

[tex]N = 11[/tex] -- number of observations

[tex]IQR = 4[/tex]

The position of the lower quartile of the above set is:

[tex]Q_1 = \frac{1}{4} \times (N + 1)th[/tex]

[tex]Q_1 = \frac{1}{4} \times (11 + 1)th[/tex]

[tex]Q_1 = \frac{1}{4} \times (12)th[/tex]

[tex]Q_1 = 3rd[/tex]

The 3rd element is 3. So:

[tex]Q_1 = 3[/tex]

Similarly, the position of the upper quartile of the above set is:

[tex]Q_3 = \frac{3}{4} \times (N + 1)th[/tex]

[tex]Q_3 = \frac{3}{4} \times (11 + 1)th[/tex]

[tex]Q_3 = \frac{3}{4} \times (12)th[/tex]

[tex]Q_3 = 9th[/tex]

The 9th element is 7. So:

[tex]Q_3 = 7[/tex]

The lower outlier (L) is

[tex]L = Q_1 - (1.5 \times IQR)[/tex]

[tex]L = 3 - (1.5 \times 4)[/tex]

[tex]L = 3 - 6[/tex]

[tex]L = - 3[/tex]

The upper outlier (U) is:

[tex]U = Q_1 + (1.5 \times IQR)[/tex]

[tex]U = 7 + (1.5 \times 4)[/tex]

[tex]U = 7 + 6[/tex]

[tex]U= 13[/tex]

Values from the lower to the upper outliers are not outliers.

In other words

[tex]-3, -2, -1, 0, 1, 2,......,11,12,13[/tex] are not outliers

12 is not an outlier because it is less than 13

13 is gotten from 7 + 6; as in: [tex]U = 7 + 6[/tex]

Hence, (d) is correct

Read more about outliers at:

https://brainly.com/question/12153650

1. Carly bought 7 folders that cost $0.15 cents each and 2 packages of pens
that cost $1.50 each. What is the total cost in dollars and cents of the folders
and pens, not including tax?

Answers

the correct answer is 4.05

awnser this plsss hahahhhahahahahaha

Answers

Answer:

c

Step-by-step explanation:

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 32% of the seats in the theater. How many 6th graders went on the trip?​

Answers

Answer:

992

Step-by-step explanation:

[tex] \frac{32}{100} \times 3100 = 992[/tex]

i think this is the answer

3h times -3q
Plz help

Answers

Answer:

-9hq

Step-by-step explanation:

Answer:

-9hq

Step-by-step explanation:

i think this is the correct answer if not i'm sorry

can someone help me with this? 8x + 18 solve for x

Answers

Answer:

Factor 2 out 8x + 18   2(4x+9)

Thats the best i can think of

Can someone please help me ?!

Answers

Answer:

b

Step-by-step explanation:

4(x-3) >= 56
4x-12 >= 56
+12. +12
4x>= 68
——————
x>= 17

So the right answer is C

Mathematics.... Use 22/7

Wrong or other answers will be reported

Answers

Answer:

A

Step-by-step explanation:

Volume of cylinder= πr²h, where r is the radius

Volume of concrete

= volume of large cylinder -volume of smaller hollow cylinder

Large cylinder:

Diameter= 7m

Since radius= ½(diameter),

Radius= 7 ÷2= 3.5m

Height= 3m

Volume of large cylinder

= π(3.5)²(3)

= 36.75π m³

Small hollow cylinder:

Diameter= 4m

Radius= 4 ÷2= 2m

Height= 3m

Volume of small hollow cylinder

= π(2)²(3)

= 12π m³

Substitute vol. of large and small hollow cylinder with 36.75π and 12π respectively, then substitute 22/7 for π:

Volume of concrete

= 36.75π -12π

= 24.75π

[tex] = 24.75( \frac{22}{7} ) \\ = 77.79 \: m^{3} [/tex]

( to 2 d.p.)

Can someone explain this With the answer I forgot how to do it

Answers

0.375 I’m pretty sure that is what it is

Answer:

C) 0.375

Step-by-step explanation:

Ok, so the question is to write 3/8 as a decimal. To turn a fraction into a decimal, you divide the numerator by the denominator.

3 ÷ 8 = 0.375

You can check your work by seeing if 0.375 as a fraction simplifies to 3/8

0.375 = 375/1000

Divide 375 and 1000 by 125 to get your simplified fraction, 3/8.

Which number is larger than 1.1213 × 10^10
A. 5,445,127,000
B. 1.1217 x 10
C. 560,123,800
D. 2.468 × 10

Answers

Answer:

1.1217 x 10^10

Step-by-step explanation:

Since the question is Which number is larger than 1.1213 × 10^10 1.1217 x 10^10

is a number larger then 1.1213 × 10^10 because it has the same exponent as the problem in the question but 1.1217 has .0004 more then the problem in the question.

50 pts! Help ASAP, will make brainliest
2. Graph the piecewise function f(x)= { 3x-5≤ if x≤-1 -2+3 if -1

Answers

Answer:

The answer is -2 and 2 on the x-axis and 0 as the center point.

Step-by-step explanation:

4/5 - 1/6 =
Please answer this for me :)

Answers

Answer:

i think it is 19/30if it is not then sorry

Answer:

29/30

Step-by-step explanation:

For more help go to calculator soup for math help :)

Which two ordered pairs generated by x = y^2 - 1 can be used to show that the equation is not a function?

which one is it?

1. (3,2) and (15,4)
2. (8,3) and (8,-3)
3. (0,-1) and (-1,0)
4.(-3,-2) and (24,-5)

Please and thank you!

Answers

Answer:

3

Step-by-step explanation:

isbscw8sceia a qowbw s

PLS HELP ME! ASAP!!!

Answers

Answer:

3,316 you need to add both of the numbers they asking when they say all togethor in the question it means you have to add

3,316 books where sold in weeks 2 and 4

Shalina wants to write StartFraction 2 over 6 EndFraction as a decimal. Which method could she use? Divide 6 by 2. Divide 2 by 6. Multiply 6 by 2. Multiply 2 by 6.

Answers

Answer:

The method she would use is = Divide 2 by 6

= 2/6

= 0.3333333333333

Step-by-step explanation:

Shalina wants to write StartFraction 2 over 6 EndFraction as a decimal.

= This means we are dividing 2 by 6

= 2/6

= 1/3

= 0.3333333333333

Answer:

B

Step-by-step explanation:

What is the scale factor

Answers

Answer:

Step-by-step explanation:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

2 and 1 over 2 divided by 2 and 1over 4

Answers

Answer:

what do u mean

Step-by-step explanation:

Answer:

It would be 1.1¯ (1.1 repeating).

15
Use the ALEKS calculator to write as a percentage.
52
Round your answer to the nearest tenth of a percent.
Х
5
?

Answers

Answer:

The Answer Is 28.8%

Step-by-step explanation:

I got it right on my Aleks assigments :)

From a distance of 200 m, Susan looks up at the top of a lighthouse. The angle of elevation is 9°. Her eyes are 1.22 m above the ground. Determine the height of the lighthouse to the nearest meter. *
37.2 m
32.7 m
32.9 m
22.6 m

Answers

Answer:

these are triangle problems, they are difficult unless you keep in mind that there is an invisible triangle and you use the Mnemonic SOH CAH TOA to keep sin, cos, and tan,  straight..

Step-by-step explanation:

what do we know about the imaginary triangle that is being made from Susan to the lighthouse?  that from Susan's feet  to the lighthouse base is 200 m  so that side of the imaginary triangle is 200 meters.. got it... Susan's eyes are 1.22 meters up   and that her angle of looking up at the top of the lighthouse is 9 degrees.. okay .. we have enough info to solve this.  B/c we have an angle and also the adjacent ( next to )  side to that angle  , great

B/c we have the adjacent side and the angle.. and we want to know the Opposite side.. which will be the height of the light house,  use one of the SOH CAH TOA formulas for those three pieces of info in it.. I see that that TOA has all of those.  Tan(Ф)= Opp / Adj  

Tan(Ф) is our angle

Opp is the Opposite side that we want to find

Adj is the Adjacent side that we know.. 200

Tan(9)=Opp / 200

use algebra to rearrange our formula

Tan(Ф)*Adj = Opp

Tan(9)*200 = Opp

I'll use my calculator to figure out what tan(9) is b/c I don't have that memorized :P and multiply that by 200

31.677 m

Also.. b/c we just figured out the triangle from  Susan's eyes to the lighthouse.. we have to add her eye height off the ground to our answer

31.677+1.22= 32.897

yeah   32.9     looks like the right answer

1. The memory card on Melcher’s digital camera can hold about 430 pictures. Melcher used 18% of the memory card while taking pictures at a family reunion. About how many pictures did Melcher take at the family reunion? Round to the nearest whole number.????
2. What number is 3% of 100?
3. 55 is 40% of what number?
4. 14% of 81 is what number
5. $4 is what percent of $50?








brainless whoever gets this right + 100 points show your work and u also get a brainless by doing that too

Answers

1- 77 pictures (77.4)
2- 3
3- 137.5
4- 11.34
5- 8%

Workings in the image :)

subtract [7+4i]-[-9+i]

Answers

Answer:

(7 + (4 * i)) - ((-9) + i) = 16 + 3i

Step-by-step explanation:


I'm forever, with you or not
I miss the times you used to hold it down
I miss the times you used ride with me (Aloy)

Ride With Me
42 Dugg

Which number is a solution of the inequality?
n(n – 3) < 54

Answers

Are there choices? if not it would be any number between -5.999 and 8.999

please help me this due today - two-step equations (20 pts)
1: m/8 + 15 = 20
2: 4 = m/3 -6
3: 44 = 4t + 8
4: 15+ 2x = 75

Answers

Answer:

1:

[tex] \frac{m}{8} + 15 = 20 \\ m + 120 = 160 \\ m = 160 - 120 \\ m = 40[/tex]

[tex]4 = \frac{m}{3} - 6 \\ 12 = m - 18 \\ - m = - 18 - 12 \\ - m = - 30 \\ m = 30[/tex]

44=4t+8

-4t=8-44

-4t=-36

t=9

And the last one is

15+2x=75

2x=75-15

2x=60

x=30

Hope this helps :)

Help me with this questions 5

Answers

I think the answer is (2,1)

Answer:

i think it is 1/3 .(-3,6 )=(1/3.-3,1/3 .6)

Step-by-step explanation:

pic ^^^ help aspa
what a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

-1/3 the rise is -1 for every 3 increments of run, therefore the slope is -1/3

Maliks mom uses 14 cups of flour to make 4 loaves of bread what is the rate of cups of flour per loaf of bread in her rEcipe

Answers

Answer:

3.5 cups of flour per load of bread

Step-by-step explanation:

divide 14 by 4

7x - 6 = 3 + x - 5 - 2x

Answers

Answer:

x=1/2

Step-by-step explanation:

7x−6=3+x−5−2x

Step 1: Simplify both sides of the equation.

7x−6=3+x−5−2x

7x+−6=3+x+−5+−2x

7x−6=(x+−2x)+(3+−5)(Combine Like Terms)

7x−6=−x+−2

7x−6=−x−2

Step 2: Add x to both sides.

7x−6+x=−x−2+x

8x−6=−2

Step 3: Add 6 to both sides.

8x−6+6=−2+6

8x=4

Step 4: Divide both sides by 8.

8x /8 = 4 /8

x= 1 /2

Answer:

0

Step-by-step explanation:

We need to factor the GCF (Greatest Common Factor).

The resulting term is a product of the GCF and the original expression divided by the GCF.

In our example, the GCF is equal to X + 2.

I'm not sure if its 0

But mine is "0"

find the 123 term of the sequence 10,12,14,16​

Answers

you add 2 to each number

Add 2 to each number

Janet states the equation 10x−3+2x=12x−5+2 has only one solution because both sides are already the same. Is she correct? Explain your answer.

Answers

Answer: I think the answer has infinite solutions since they are equal.

Step-by-step explanation:

The price of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of the following equations can be used to represent the price of the medal x years after 2000?

y = 120(0.9)x
y = 10(120)x
y = 120(1.1)x
y = 10(1.1)x

Answers

C is the answer ollolololo

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