Can someone just solve the problem please? it has to be an inequality in the equation

Can Someone Just Solve The Problem Please? It Has To Be An Inequality In The Equation

Answers

Answer 1

Answer:

(A) Let a represent the number of hours Cassie needs to work

(B) The inequality is 10 × a + 30 ≥ 140

(C) a ≥ 11

(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator

Step-by-step explanation:

The least amount Cassie needs for the graphing calculator = $140

The amount Cassey currently have saved = $30

The amount her neighbor offers for her to babysit = $10 per hour

(A) The definition of the variable is given as a = The number of hours Cassie needs to work

(B) The inequality that defines the situation is 10 × a + 30 ≥ 140

(C) Solving the inequality gives;

10 × a + 30 ≥ 140

10 × a  ≥ 140 - 30

∴10 × a  ≥ 110

a ≥ 110/10

∴ a ≥ 11

Which gives;

The number of hours Cassie needs to work = a ≥ 11 hours

(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.


Related Questions

What is the probability that a data value in a normal distribution is between a
z-score of -1.32 and a z score of 1.32? Round your answer to the nearest
tenth of a percent.
A. 84.3%
B. 82.3%
C. 83.3%
D. 81.3%
Please tell me how to do this in my calculator

Answers

Answer:

The probability that a data value in a normal distribution is between a

z-score of -1.32 and a z score of 1.32 is 81.3%

Option D is correct.

Step-by-step explanation:

We need to find the probability that a data value in a normal distribution is between a  z-score of -1.32 and a z score of 1.32.

We can write it as P(-1.32 < Z < 1.32)

It is equal to : [tex]P(-1.32 < Z < 1.32)= P(Z<1.32)-P(Z<(-1.32))[/tex]

Looking at z-score tables to find value of z=1.32 and z=-1.32

P(Z<1.32)= 0.90658

P(Z<-1.32) = 0.09342

Putting values and finding answer

[tex]P(-1.32 < Z < 1.32)= P(Z<1.32)-P(Z<(-1.32))\\ P(-1.32 < Z < 1.32)=0.90658-0.09342\\P(-1.32 < Z < 1.32)=0.81316\\P(-1.32 < Z < 1.32)=81.3\%[/tex]

So, the probability that a data value in a normal distribution is between a

z-score of -1.32 and a z score of 1.32 is 81.3%

Option D is correct.

0.0000000342 in scienctific notation

Answers

Answer:

3.42 to the -8 power

Step-by-step explanation:

How long would it take me to earn $139.50 of interest at 6% interest rate if i started with $930

Answers

Answer:

I think 0.06

Step-by-step explanation:

If f(x) = 2x² then when x = 3, y will equal

Answers

Answer:

y = 18

Step-by-step explanation:

Given

f(x) = 2x² ( substitute x = 3 )

y = f(3) = 2(3²) = 2(9) = 18

PLSS HELP!! NEED ASAP!!! MARKING BRAINLIEST!!! PLS EXPLAIN!!! At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags?

Answers

Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

Tickets for 2 adults and 4 children at a theme park cost £152.

An adult ticket costs twice as much as a child ticket.

Write and solve an equation to work out the price of an adult ticket​

Answers

Step-by-step explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.

Answer:

Step-by-step explanation:

2a+4c=152

2c=a

4c+2a=152

2c-a=0

Use simultaneous equation

Substitute 2c=a

                  c=a divided by 2 in the first equation and find value of a and c

In the accompanying diagram. altitude CD is
drawn to the hypotenuse of right triangle ABC. If
AD - 9 and AB = 13. find CD.

Someone help me please

Answers

To Find :

The value of side CD.

Solution :

Applying Pythagoras theorem in ΔABC :

[tex]AC^2 + CB^2=AB^2 \\\\AC^2 + CB^2 = 13^2[/tex]     ....1)

Applying Pythagoras theorem in ΔACD and ΔCDB :

[tex]AD^2 + CD^2 = AC^2[/tex]     ....2)

[tex]CD^2 + DB^2 = CB^2[/tex]     ....3)

Adding equation 2 and 3, we get :

[tex]AC^2 + CB^2 =AD^2 + 2CD^2 + DB^2[/tex]   ...4)

Solving equation 1) and 4), we get :

[tex]AD^2 + 2CD^2 + DB^2 = 13^2\\\\9^2 + 2CD^2 + ( 13 - 9 )^2 = 13^2\\\\2CD^2 = 72\\\\CD = 6[/tex]

Therefore, length of CD is 6 .

The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
Group of answer choices

75 feet

129 feet

141 feet

27 feet

Answers

The distance between a boat and a cliff is 129 feet.

Trigonometry

The trigonometric functions are used to determine the distance and angle in real-life situations.

How to find the distance between a boat and a cliff using trigonometry?

Consider the following diagram.

Let the distance between a boat and a cliff be [tex]x[/tex].

[tex]tan25^{o}=\frac{40}{x}[/tex]

[tex]x=\frac{35+25}{tan25}[/tex]

[tex]x=\frac{60}{0.4663}[/tex]

[tex]x=128.67[/tex]

Therefore, the distance between a boat and a cliff is 129 feet.

Learn more about trigonometry here-

https://brainly.com/question/26719838

#SPJ2

Which would produce a larger balance: an annual interest rate of 8.05% compounded monthly or an annual interest rate of 8% compounded continuously? Explain.

Answers

Answer:

8% compounded monthly has higher yield

Step-by-step explanation:

Here, we want to compare which of the two options would give a higher yield

An interest rate of 8% compounded monthly or 8% compounded annually

Let us say we are looking at a time frame of two years

If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times

While if it is annual, we would have only twice

The higher the number of times we compound, the more the return

What is the slope of the line passing through the points (-1, 3) and (4, - 7)?
A. -4/3
B. 3/4
C. 2
D. -2​

Answers

Answer:

D

Step-by-step explanation:

-1,3

4,-7

-7-3=-10

4--1=5

-10/5=-2

A box with inside area of 1.1m2 is covered with an unknown 0.163m of insulation material. Determine the thermal conductivity for the insulating material if a 62 W bulb is used to heat the box. The bulb maintains the inside temperature at 23oC higher than the outside temperature.

Answers

9514 1404 393

Answer:

  0.40 W/(m·K)

Step-by-step explanation:

Units of thermal conductivity are ...

  W/(m·K)

The length dimension in the denominator comes from the ratio of area to thickness. That is, we can compute the thermal conductivity from ...

  (62 W)(0.163m)/(1.1 m²·23K) ≈ 0.40 W/(m·K)

Please answer ASAP!

How many different arrangements of the letters of the word SCIENCE
have N as their first letter and S as their last?

Answers

Ignore this post, I have no Idea what it is, report this so it gets taken down so someone else can answer...

Fractions help me please

Answers

Answer: the first one

Step-by-step explanation: 9/15 is indeed less than 4/5 which u can make 12/15

17 friends to 19 friends

The percent increase is

Answers

Answer:

the increase is by 2

Step-by-step explanation:

You can add 17 plus 2 or subtract 17 from 19.

Answer:

2?

Step-by-step explanation:

Walmart is having a huge 25 % off sale!!!
If the SALE PRICE for a PS4 is $300, what was the ORIGINAL PRICE?

Answers

Answer:

$400

Step-by-step explanation:

Answer:

It would be 400

Step-by-step explanation:

If you don't believe me search it up! C: hope this helped

Lines / and mare parallel. Line / can be represented by the equation 3x + 4y = 8. If line m passes through the po
m?
y-5= -
(x+2)
y +5 = -
44-2)
y-5= f «+2)
y+5 = ģ«-2)

Answers

Answer:B

Step-by-step explanation:

Answer:

B y-5=- 3/4(x-2)

Step-by-step explanation:

Javier and Ebony track the number of steps they walk. Javier records a walk of 6000 steps in 50 minutes. Ebony describes her step rate with the equation y=118, where y is the number of steps and x is the number of minutes she walks. This week, Javier and Ebony each walk a total of 5 hours. Who walks more steps?

Answers

Answer:

Javier walks more steps than ebony given the same minutes

Step-by-step explanation:

Javier records a walk of 6000 steps in 50 minutes.

Ebony describes her step rate with the equation y=118x

Where,

y = number of steps

x = number of minutes she walks

Javier and Ebony each walk a total of 5 hours. Who walks more steps?

5 hours = 5 × 60 minutes

= 300 minutes

Javier records a walk of 6000 steps in 50 minutes.

6000 : 50 minutes = x : 300 minutes

6000/50 = x / 300

Cross product

6000 * 300 = 50 * x

1,800,000 = 50x

x = 1,800,000 / 50

= 36,000

x = 36,000

Javier walks 36,000 steps

Ebony describes her step rate with the equation y = 118x

x = 300 minutes

y = 118(300)

= 35,400

y = 35,400

Ebony walks 35,400 steps

Therefore,

Javier walks more steps than ebony given the same minutes

8 divided by (-1/8) please please

Answers

Answer: -64

Step-by-step explanation:

flip the fraction, and then change the sign so it turns into multiplication.

-8 x 8

multiply them after that.

-64

Escribe la ecuación: Un balón de baloncesto cuesta 10€ menos que uno de fútbol. Si 10 balones de fútbol y 4 de baloncesto cuestan 310€.

Answers

Responder:

14x - 40 = 310

Explicación paso a paso:

Dado que:

El baloncesto cuesta 10 € menos que un balón de fútbol

10 balones de fútbol y 4 de baloncesto cuestan 310 €

Para formar una ecuación:

Deje que el costo de:

Balón de fútbol = x

Costo del baloncesto = x - 10

Por lo tanto,

Costo de 10 balones de fútbol = 10 * x = 10x

Costo de 4 pelotas de baloncesto = 4 * (x - 10) = 4x - 40

Coste total :

Coste del balón de fútbol + coste del baloncesto = 310 €

10x + 4x - 40 = 310 €

14x - 40 = 310

14x = 310 + 40

14 veces = 350

x = 25 € = coste del balón de fútbol

Coste del baloncesto = 25 € - 10 € = 15 €

Find the value of x and y in the parallelogram. Helpp

Answers

Answer:

The answer is D.

Step-by-step explanation:

In a parallelogram, lengths are parallel to each other so we can assume that AB is parallel to CD and AD is parallel to BC. In order to find the value of x and y, you have to compare the expressions :

AB // CD

x - 2 = 24

x = 26

AD // BC

y = 11

Use the expression $100 + 5n to find the total price for n students to take a field trip to the science museum. If 175 students go on the field trip, how much will total cost?

Answers

Answer:

Total cost= $975

Step-by-step explanation:

Giving the following information:

Total cost= 100 + 5*n

n= number of students

The $100 is a fixed cost. It remains constant no matter the number of students. The $5 is the unitary variable cost. The total variable cost increases with the number of students.

Total cost for 175 students:

Total cost= 100 + 5*175

Total cost= $975

The point A(-6, 0) is reflected over the y-axis. What are the coordinates of the resulting point, A′?

Answers

Answer:

(6, 0)

Step-by-step explanation:

Subtract (4a2b - 3ab2 + 2ab + 5) and (2a2b + 3ab2 - 7ab). Choose the
difference.
2a4b2 - 5a2b2 + 5
2a 2b - 6ab2 + 9ab + 5
2a 2b - 6ab2 - 9ab + 5
2a2b - 5ab + 5

Answers

Answer:

2a2b-6ab2+9ab+5 is right answer

Jim wants to make 2.7 quarts of a 60% alcohol solution by mixing together a 80% alcohol solution and a 20% alcohol solution. How much of each solution must Jim use?

Answers

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

You want to buy some rice. An 8​-ounce package costs ​$2.88. A 12​-ounce package costs ​$4.56. A 26​-ounce package costs ​$9.10. Which package is the best​ buy?

Answers

Divide cost by ounces. The lowest cost per ounce is the better buy.

2.88/8 = 0.36

4.56/12 = 0.38

9.10/26 = 0.35

The 26 ounce package is the better buy.

Answer:

The 26-ounce package is the best buy

Reasoning:

In order to figure out the best buy, you have to see the price-per-ounce in each option and figure out the one that costs the least. The way to do this is by dividing the decimal in the pricing by the number of ounces in the package. For example, 2.88/8 = 0.36

This tells us that the price-per-ounce in the 8-ounce package is 0.36

Repeat this process for each of the other two packages to find that

4.56/12 = 0.38 and 9.10/26 = 0.35

with this information, we can conclusively say that the 26-ounce package is the best buy, as it has the lowest price-per-ounce of all three of the packages.

helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.

Answers

Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

To know more about Trigonometry click the link given below.

https://brainly.com/question/13760328

Lucas buys sandwiches for the boys' basketball team. At the first game, he paid $85 for 17 sandwiches. At the second game, he will have to buy 21 sandwiches at the same cost per sandwich
How much will Lucas have to pay? Use any strategy to solve this problem.
O $90
O $105
O $110
O $120

Answers

Answer:

$105

Divide 85 by 17 which equals 5 so each sandwich cost $5. Then multiply 21 by 5 which is 105.

Last weekend, Joshua's parents drove 810 miles in 9 hours when they came to visit him. What was their
constant speed?

Answers

Answer:

90mph

Step-by-step explanation:

Answer:

90 miles per hour

Step-by-step explanation:

810 / 9

A, B, C, or D? Due at midnight!! Thank you

Answers

Answer:

the last one 3.7, 3 3/4, 31/8, 3.89

Step-by-step explanation:

3.7=3.7

3 3/4= 3.75

31/8=3.875

3.89=3.89

what is 1093 + 28478

Answers

Answer:

29571 is the answer welcome!!

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