At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error? Jamie should have used the less than or equal to sign when writing the inequality. Jamie should have reversed the inequality when using the division property of inequality. Jamie should have added 500 to both sides. Jamie should have started by dividing by –30.

Answer:

Step-by-step explanation:

Let us find the acceleration of box .  

v² = u² + 2as

Putting the values

7² = 3² + 2 a x 14

a = 1.43 m /s²

If coefficient of friction be μ

force of friction = μ mg

= μ x 10 x 9.8

= 98μ

Net force pushing the box

= 85 - 98μ

Applying newton's second law

85 - 98μ = 10 x 1.43

98μ = 85 - 14.3

μ = .72

Answer:

y = [tex]\frac{1}{2} x - 3[/tex]

x + y = 18

Step-by-step explanation:

Let the kitten's weight be y and the cat's weight be x

Condition # 1:

y = [tex]\frac{1}{2} x - 3[/tex]

Condition # 2:

x + y = 18

Hi!

This problem is the fifth in a series of seven about ratios. At first glance the problem may look to be beyond 6.RP.1, which limits itself to “describe a ratio relationship between two quantities. However, even though there are three quantities (the number of each candidates' votes), they are only considered two at a time.

In the first problem students define the simple ratios that exist among the three candidates. It opens an opportunity to introduce unit rates.

The subsequent problems are more complex. In the second problem, students apply their understanding of ratios to combine two pools of voters to determine a new ratio. In the third problem, students apply a known ratio to a new, larger pool of voters to determine the number of votes that would be garnered.

Solutions

Solution: Question #1

a. John's votes to Will's, 16 to 8, or 2 to 1. Marie's votes to Will's, 12 to 8, 3 to 2, or 32 to 1, the unit ratio. Marie's votes to John's, 12 to 16, 3 to 4, or 34 to 1, the unit ratio.

Solution: Question #2

2. Will now has 8 + 12 = 20 votes to John's 16 votes, so the ratio of Will's votes to John's votes is 20 : 16, 5 : 4, or 54 : 1, the unit ratio.

Solution: Question #3 - Computing votes

There are different ways to approach this problem, but both begin with the fact that Will gets votes in a 5 to 4 ratio compared with John and require recognizing that a 5 to 4 ratio means a total of 9 equal parts. Then it is straightforward to compute:

59×90=50 votes for Will

49×90=40 for John

50−40=10 more votes for Will.

Solution: Question #3 - Applying fractions

One can solve the problem by working fractions by recognizing that Will getting votes in a 5 to 4 ratio means a total of 9 equal parts. It follows that Will gets 59 of the 90 votes and John gets 49 of the 90 votes:

59−49=19 of the voters

19×90=10 more votes for Will

Solution: Question #3 - Equivalent Ratios

An alternate very basic solution to Question 3 involves creating a series of equivalent ratios. This approach may be selected by students who are still developing an understanding of proportional situations. Students may begin with the ratio of 5 to 4 and proceed to find a ratio such that the sum of numerator and denominator is 90. This sequence may appear as follows:

5/4 = 10/8 = 15/12 = 20/16 = 25/20 = 30/24 = 35/28 = 40/32 = 45/36 =50/40

Then 50 - 40 = 10 more votes for Will

Overall answer

10 more votes for will

Answer:

d. 20

Step-by-step explanation:

To answer the question given, we will follow the steps below:

we need to first find p(3)

p(x) = x+ 7/ x-1

we will replace all x by 3 in the equation above

p(3) = 3+7 / 3-1

p(3) = 10/2

p(3) = 5

Similarly to find q(2)

q (x) = x^2 + x - 2,

we will replace x by 2 in the equation above

q (2) = 2^2 + 2 - 2

q (2) = 4 + 0

q (2) = 4

The product of p(3) and q(2)   =   5 × 4   = 20

Answer:

work is shown and pictured

Answer:

B

Step-by-step explanation:

Answer:

[tex]\boxed{\frac{25\pi }{36}}[/tex]

Step-by-step explanation:

Use the formula to convert from degrees to radians: [tex]x * \frac{\pi }{180}[/tex], where x is the value in degrees.

[tex]125 * \frac{\pi }{180}[/tex] = [tex]\frac{125\pi }{180}[/tex]

Then, simplify your fraction ⇒ [tex]\frac{125\pi }{180} = \boxed{\frac{25\pi}{36} }[/tex]

Answer:

19

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The simplified expressions are

1) a - b + c + m + n

2) x + a + m - 2

3) m + a - k - b

4) x + a - b - c + d

Step-by-step explanation:

1) a - (b - c) + (m + n)

To simplify the above expression, we have;

a - (b - c) + (m + n)  = a - b - (-c) + m + n = a - b + c + m + n

2) x + a + (m - 2)

To simplify the above expression, we have;

x + a + (m - 2) = x + a + m - 2

3) m + (a - k - b)

To simplify the above expression, we have;

m + (a - k - b) =  m + a - k - b

4) x + (a - b) - (c - d) = x + a - b - c -(- d)) = x + a - b - c + d

Answer:

20

Step-by-step explanation:

i got it right on a quiz

Height of a can is equal to [tex]\boldsymbol{6.99\,cm}[/tex].

Surface area of a cylinder [tex]=\pi r^2h[/tex] where [tex]r,h[/tex] denote radius, height of a cylinder respectively.

Surface area of a can [tex]=1406.72 \,cm^2[/tex]

Radius of a can [tex]=8 \,cm[/tex]

[tex]1406.72=\frac{22}{7}(8)^2h[/tex]

         [tex]h=6.99\,cm[/tex]

Therefore, height of a can is equal to [tex]\boldsymbol{6.99\,cm}[/tex]

Find out more information about cylinder here:

https://brainly.com/question/3216899?referrer=searchResults

Answer:

4>Y>-2 :) ..............

Answer:

[tex]\boxed{-2 < y \leq 4}[/tex]

Step-by-step explanation:

For y is no greater than 4, it would be either less than or equal to 4. So, the inequality for it would be:

y ≤ 4

Now, the inequality for y more than -2:

-2 < y

Combining the inequality:

-2 < y ≤ 4

The answers are did not make, and both the slope and the y-intercept match if the line of the best fit is represented by the equation y = 0.77x + 1.34

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

We have a line of best fit:

y = 0.77x + 1.34

Here the slope of the line is 0.77 and y-intercept is 1.34

From the graph and line of best fit, we can say heather did not make an error when writing the equation of the line in her notebook because both the slope and the y-intercept match the slope and the y-intercept of the equation she recorded

Thus, the answers are did not make, and both the slope and the y-intercept match if the line of the best fit is represented by the equation y = 0.77x + 1.34

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ2

Answer:

Heather likely did not make an error when writing the equation of the line in her notebook because both the slope and the y-intercept match the slope and the y-intercept of the equation she recorded.

Answer:

[tex]\frac{\sqrt{3} }{4} a^2[/tex]

Step-by-step explanation:

To find the area of an equilateral triangle, we can apply a formula.

[tex]A=\frac{\sqrt{3} }{4} s^2[/tex]

[tex]A= area\\s=side \: length[/tex]

The side length is given a.

Plug a in the formula as the side length.

[tex]A=\frac{\sqrt{3} }{4} a^2[/tex]

Answer:

3 square root over 4 a square

Step-by-step explanation:

Answer:

two hours after the snow started melting, the depth of the snow would be 8 inches.

Step-by-step explanation:

The melting can be represented by a linear function of the snow depth (D(t)) as a function of time (t). We consider that the initial value is: 11 inches deep at time = 0 (zero). and then decreasing at a rate of 1.5 inches per hour (that is a negative slope = -1.5).

[tex]D(t)=11-1.5\,t[/tex]

Therefore, 2 hours after the snow started melting, one would have:

[tex]D(2)=11-1.5\,(2)=11-3=8\,\,inches[/tex]

Answer:

Your correct answer is = 5x + 45

Step-by-step explanation:

To find this, you will need to learn to multiply polynomials.

Answer:

36 ft.

Step-by-step explanation:

11+11+7+7=

22+14= 36

Answer:

36 ft

Step-by-step explanation:

The rectangle's sides lengths are 7 ft and 11 ft, wich are the width and the length.

The formula of the perimeter is:

P= 2w+2L with w the width and L the length

P= 2*7+2*11

P= 14+22

P= 36 ft

The perileter is 36 ft

Answer:

I'd cross multiply to solve this equation.

Step-by-step explanation:

Since we have a fraction where we're finding a ratio:

[tex]\frac{3}{x} = \frac{6}{14}[/tex],

I'd find it easiest to cross multiply. This is because we are finding an equivalent to a ratio, so cross multiplication works best here.

Let's solve it.

[tex]14\cdot 3 = 42\\42\div6=7[/tex]

x = 7

Hope this helped!

Answer:

volume=3x³+15x²+12x

Step-by-step explanation:

v= l*w*h =(3x )(x+1) (x+4)

v=3x(x²+5x+4)

volume=3x³+15x²+12x

Answer: y=9x+33

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

So, there were 33 gallons of water in the tank to begin with.

Answer:

There were 33 gallons.

Step-by-step explanation:

Answer:jac ganko

Step-by-step explanation:

Answer/Step-by-step explanation:

Common ratio of a sequence can be gotten by dividing any of the consecutive term in a sequence, by the term before it.

Thus,

For the sequence, [tex] 3, 9, 27. . . [/tex] : [tex] a_1 = 3 [/tex]

[tex] r = \frac{9}{3} = 3 [/tex]

For the sequence, [tex] 8, 4, 2, 1. . . [/tex] : [tex] a_1 = 8 [/tex]

[tex] r = \frac{4}{8} = \frac{1}{2} [/tex]

For the sequence, [tex] -16, 64, -256 . . [/tex] : [tex] a_1 = -16 [/tex]

[tex] r = \frac{64}{-16} = -4 [/tex]

Answer:

The correct option is;

Heads lands 3 times and tales lands 5 times in 8 coin flips

Step-by-step explanation:

A compound event is one in which the probability of more than one outcome or event to have occurred at the same time is sought. The probability of a compound event is the sum of the probabilities of the individual events less the probabilities already captured in both event probabilities

Answering compound event questions can be done by the use of a tabular or diagram format.

Therefore, the compound event in the list is heads lands 3 times and tales lands 5 times in 8 coin flips.

Answer:

420

Step-by-step explanation:

To find 63% of 6000, we can do 0.63 * 6000 = 3780 because 63% = 0.63.

1/9th of that is 1/9 * 3780 = 420.

Answer:

420

Step-by-step explanation:

Let's first start by finding 63% of 6000 so we can later find 1/9 of that number.

We can set up a percentage proportion.

[tex]\frac{x}{6000} = \frac{63}{100}[/tex]

[tex]6000\cdot63=378000\\378000\div100 = 3780[/tex]

Now to find 1/9 of 3780.

[tex]\frac{1}{9} \cdot \frac{3780}{1}\\\\\frac{3780}{9} = 420[/tex]

So, the answer is 420.

Hope this helped!

Answer:

Alternate interior angles.

17x + 6 = 18x - 1.

x = 7.

Step-by-step explanation:

According to the diagram below, the angles are alternate interior angles.

Since they are alternate interior angles, they are congruent. So, 17x + 6 = 18x - 1.

17x + 6 = 18x - 1

18x - 1 = 17x + 6

x = 7

Hope this helps!

Answer:

[tex]30 u^{2}[/tex]

Step-by-step explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

[tex]\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}[/tex]

where,

[tex]d_{1}=10\ and\ d_{2}=6[/tex]

So, the area of the quadrilateral is

[tex]=\frac{1}{2}(10)(6)\\\\=30 u^{2}[/tex]

Answer:

C

Step-by-step explanation:

I just took the test

Answer:

A. 25°

Hope it helped

Answer:

Step-by-step explanation:

Step one:

Applying the SOH CAH TOA principle

assuming all dimensions are in cm

Step two:

Given data

opposite= 1 cm

hypotenuse= 2 cm

Sin(θ)= opp/hyp

Sin(θ)= 1/2

Sin(θ)= 0.5

θ= sin-1 0.5

θ= 30°

hence  from tables cos 30°= 0.866

Answer:

13

Step-by-step explanation: