Anna would like to purchase a new bike that costs $205. She already has $31 saved. If she saves a maximum of $12 a week, the following inequality can be used to find the minimum number of weeks, w, it will take Anna to save the money to purchase the bike.
12w+31 ≥ 205

Please show all steps thank you

Answers

Answer 1

Answer:

It will take at least 15 weeks

Step-by-step explanation:

12w+31 ≥ 205

Subtract 31 from each side

12w+31-31 ≥ 205-31

12w ≥ 174

Divide each side by 12

12w/12 ≥ 174/12

w ≥ 14.5

Rounding up to the nearest integer

w ≥ 15

It will take at least 15 weeks

Answer 2

Answer:

Is there a graph included?

Step-by-step explanation:


Related Questions

What is the monthly interest rate if an annual rate is 12.3%? The monthly interest

(Type an integer or decimal rounded to two decimal places as needed.)​

Answers

Interest for 1 year=12.3℅

Interest for 12months=12.3℅

[tex]\\ \qquad\quad\sf\longmapsto Interest\:for\:one\:Month[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{12.3}{12}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 1.025\℅[/tex]

two cars start at the same point.one travel's north at 65 km/h and the other travel's east at 50km/h.How far are they apart after 30 minutes?

Answers

9514 1404 393

Answer:

  41 km

Step-by-step explanation:

The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:

  d = √(32.5² +25²) = √1681.25 ≈ 41.00

The cars are about 41 km apart after 1/2 hour.

Completa la demostración:si los ángulos adyacentes a una base de un trapecio son congruentes entonces el trapecio es isósceles.
Dado:ángulo ABE congruente con DCE,
Demostrar:AB paralelo a DC

Answers

Answer:

Ab paralelo DC

Step-by-step explanation:

is -2 a natural number?

Answers

Answer:

No. Only positive whole integers are considered natural numbers

help me pls thanks!!!!!!!​

Answers

Answer:

7.   0.37

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{37}{100}[/tex]

    1.735

Decimal value is  -  TENTHS

Fraction value is - [tex]\frac{1735}{1000}[/tex]

8.   6.075

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{6075}{1000}[/tex]

      27.05

Decimal value is  - ONES

Fraction value is -  [tex]\frac{2705}{100}[/tex]

9.    0.127

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{127}{1000}[/tex]

    3.007

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{3007}{1000}[/tex]

 

20. Determine whether the given points are on the graph of y = 3x + 2.

Select all points that lie on the graph.
(2,0)

(2,8)

(3,9)

(5,17)

Answers

Answer:

The points that were given are not on the graph of y=3x+2.

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 so on the graph you rise three times from the point (0,0) to (0,3) then you run twice to the right so your first plot would be (2,3). After following the same process the next three plots would be (4,6),(6,9),&(8,12). So those plots that were given are incorrect. Remember y=mx+b

Mx is your slope to rise with and b is your y-intercept to run with.

Rise/run. I just put the important stuff in bold.

Hope this helped you out! Ask any question if you don't understand below and I'll get back to you.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -10

Answers

Answer:

y = -5x - 5.

Step-by-step explanation:

10x + 2y = -10        Add -10x to both sides:-

2y = -10x - 10         Divide through by 2:-

y = -5x - 5.

Please help! will mark brainliest.
only answer if you truly know
Find (ƒ – g)(x) where ƒ(x) = –x^2, g(x) = –(x + 4)^2

(ƒ – g)(x) = –8x – 16
(ƒ – g)(x) = –2x2 + 8x + 16
(ƒ – g)(x) = –2x2 – 8x – 16
(ƒ – g)(x) = 8x + 16

Answers

Answer:

D

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]

And we want to find:

[tex](f - g)(x)[/tex]

Recall that this is equivalent to:

[tex]= f(x) - g(x)[/tex]

Substitute:

[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]

Simplify:

[tex]= -x^2 + (x+4)^2[/tex]

Perfect square trinomial:

[tex]= -x^2 + (x^2 + 8x + 16)[/tex]

Combine like terms. Therefore:

[tex]= 8x + 16[/tex]

In conclusion:

[tex](f - g)(x) = 8x + 16[/tex]

Our answer is D.

pls say hard very hard​

Answers

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60   ==>   50-60

60 < score ≤ 70   ==>   60-70

70 < score ≤ 80   ==>   70-80

80 < score ≤ 90   ==>   80-90

90 < score ≤ 100   ==>   90-100

Then a student who scored a 60 should be added to the 50-60 category.

A cookie recipe calls for 4/3 cup of flour and makes 3 dozen cookies, Il Cassandra plans to make 18 dozen cookies, how many cups of does she need?

Answers

Answer:

8

Step-by-step explanation:

4/3 cup for 3 dozen.

how many cups for 18 dozen ?

what factor do I need to use to turn 3 into 18 ?

3×x = 18

x = 18/3 = 6

so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).

therefore, we need

4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.

24/3 cups for 18 dozen
… i believe

Helppp
Find the measure of ∠3.

Answers

Answer:

90°

Step-by-step explanation:

diagonals of a kite intersect each other at 90°

:)

ANSWER :

third option 90 degrees

Step-by-step explanation:

the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1

*The opposite adjacent angles will always be same

40 POINTS !!!!
In this course, we’ll begin to explore “opposite” function types. For example, think about a quadratic function and its key features. What key features do you think its opposite function will have? Why?

Answers

The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)

for opposite: Its reflection and its symmetrical
opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.

Answer:

Step-by-step explanation:

The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)

for opposite: Its reflection and its symmetrical

opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.

if x is an acute angle and tan x =3/4 evaluate cosx/sinx ​

Answers

When evaluated you’re left with:

One half of a number (x) is equal to 14

Answers

Answer:

x = 28

Step-by-step explanation:

Equation:-

1/2(x) = 14

Multiplying by 2 on both sides,

=> x = 28

What is 243.98 to the nearest tenth

Answers

The answer is 244 because you round up and it rounds the number itself.

To reduce inventory, Millennium Games offers single-game CDs at a $5 discount. Roger buys 4 of these single-game CDs for $80. Write and solve an equation to determine the original price of a single-game CD.

Answers

The original price was $25

Can someone help me please and show work , thank you

Answers

Answer:

55 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a triangle is always 180 degrees.

We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):

180-135 = 45 degrees

180-100 = 80 degrees

Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:

180-80-45 = 55 degrees

This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.

I hope this helps!

Type your answer into the box and choose the correct answer. Gifts are packaged in cylinders. Each cylinder is 12 cm high with a diameter of 8 cm. Calculate the volume of each cylinder. Use 3 as a value for TT Give your answer using the correct units. Select...​

Answers

Answer:

volume of a cylinder

V= TTr² h

V= volume

TT= pie

h= height

Step-by-step explanation:

Note: radius is 2times diameter ... if you are given diameter and to convert to radius, divide the diameter by 2

V=TTr²h

r= 8/2 =4cm

V= 3×4²×12

V=3×16×12=576cm³

Multiply
(s - 5)(2s + 7)
(s - 5)(2s +7)=[ (Simplify your answer.)

(Answer quickly)

Answers

Answer:

Step-by-step explanation:

f: s*2s = 2s^2

o: s*7 = 7s

i: -5*2s = -10s

L: -5*7 = - 35

Combine

2s^2 - 3s - 35

2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o

Answers

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

On a number line, what is larger, .5 or .7

Answers

Answer:

.7

Step-by-step explanation:

On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.

HOPE THIS HELPED

Answer:

.5

Step-by-step explanation:

the bigger the number the smaller the number

the answer is 5

Advanced Order of
Operation
11) [{ 66+11 }2-6]x 7
66 121
Addition,subtraction, multiply I need help ASAP please due tomorrow show work

Answers

Answer:

113385908

Step-by-step explanation:

use:

Brackets

Indices

Division

Multiplication

Addition

Subtraction

[(66+11)2-6]×766 121

First Brackets

66+11=77

[(77)2-6]×766121

Multiplication:

77×2=154

[154-6]×766121

Subtraction:

154-6=148

Multiplication:

148×766121= 113385908

travis paid $27.50 for 11 pounds of grapes how much would travis pay for 4 pounds of grapes

Answers

$27.50/11 = $2.5
2.5 x $4 = $10
Travis would pay $10 for 4lbs of grapes

If your destination is 60 miles away, how many mph do you have to travel, in order to get there in 15 minutes

Answers

Answer:

4 miles per hour

Step-by-step explanation:

I need help with #28

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...

  ∠POQ +∠QOS = ∠POR +∠ROS

  ∠ROS = ∠POQ +∠QOS -∠POR

  ∠ROS = 28 +46 -61 = 13

At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?

Answers

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

i am supposed to use f(x) to solve these but there isn’t an x in them so i am confused, can someone help?

Answers

but there have given the formula of g(x) and f(x) ,put it

Alea needs 20.5 pints of blueberries to make jam. She picked 7.75 pints on Friday and 425 pists on Saturday. How many more pints does she need to pick? A. 85 pints B.X25 pints C. 11.5 pints D. 11.75 pints​

Answers

Answer:

A 8.5 pints

Step-by-step explanation:

obtain the backward difference for the function f(x) =x^3 from x=1 to 1.05​

Answers

We have to find integration of f(x) having upper limit 1.05 and lower limit 1

[tex]\\ \rm\longmapsto \displaystyle{\int^{1.05}_1}x^3dx[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^{3+1}}{3+1}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^4}{4}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.05)^4-3(1)^4}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.2)-3(1)}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3.6-3}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{0.6}{4}[/tex]

[tex]\\ \rm\longmapsto 2.4[/tex]

You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?

Answers

9514 1404 393

Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

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