Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of the following inequalities represents this situation?
A|3c − 60| ≤ 2
B|60 + 3c| ≤ 2
C |3c − 2| ≤ 60
D |3c + 2| ≤ 60

Answers

Answer 1

Step-by-step explanation:

very imprecise phrasing.

I assume this means the cost should not be more than $2 above, and not less than $2 below $60.

the bottom line is : the difference between the price of the 3 gift cards and the planned budget of $60 must not be more than $2 (no matter what's the sign of the difference - hence the usage of absolute values).

the only answer calculating that difference and comparing it to the $2 threshold is A.

remember, a difference is always calculated by a "-" operation.

so, B and D disqualify.

C compares the price of the 3 cards with $2 and compares that result with the limit of $60.

yes, that protects against too expensive cards.

but no, it does NOT protect against to cheap cards. e.g. if the cards (3c) cost only $30, that inequality would still be true (but should not).

so, A is the correct answer.


Related Questions

This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).

Answers

Answer:?

Step-by-step explanation:?

A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

$843.36

Step-by-step explanation:

:))

Can you please give me that answer

Answers

Answer:

Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

a/6-1/2=1/3 thats 7 grade math

Answers

Answer: a = 5

Step-by-step explanation:

a/6-1/2=1/3

a/6 = 1/3 + 1/2

a/6 = 2/6 + 3/6

a/6 = 5/6

a = 5

Check:

5/6-1/2 = 1/3 ?

5/6 - 3/6 = 1/3?

2/6 = 1/3  ?

1/3 = 1/3   YES

Answer:

a = 5

Step-by-step explanation:

a/6 - 1/2 = 1/3

=> a/6 = 5/6

=> a = 5

Hoped this helped.

if the set of values represent points on a line, what is the value of a?

Answers

Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:  

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

100 points if u get this right ty have a nice day !

Answers

Answer:

its 32 yards if I'm correct

Step-by-step explanation:

I'm not for sure but I remember doing something like this

Use the graph to complete the statements.

The car gets
30
miles to the gallon.

After the car has traveled?
miles, 2 and two-thirds how many gallons of gas have been consumed.

Answers

Answer:

The answer is 80 miles 2/23

Step-by-step explanation:

I hope this helps

-3(a-6)=-(4a-6)-3a
solve

Answers

Answer:

a = -3

Step-by-step explanation:

-3(a-6)=-(4a-6)-3a

-3a+18 = -4a+6-3a

-3a+18 = -4a-3a+6

-3a+18 = -7a+6

-3a+7a = 6-18

4a = -12

4a/4 = -12/4

a = -3

A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?


Calculate the bee's unit rate of meters per second.


What is the equation of constant proportionality? (y=kx)

Answers

Answer:

15 seconds

Step-by-step explanation:

y=-2
4x-3y=18
solve by substitution

Answers

Answer: x= 3

Step-by-step explanation:

I NEED THIS ASAP!!

Compare -7 and 5. Which statement is not true?

O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.​

Answers

A. is true b. is true C. is false D. is true

How to add fractions with whole numbers.

Answers

Answer:

To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Step-by-step explanation:

help please !!!!!!!!!!!!!

Answers

Answer:  + or - 8

Step-by-step explanation:

A.  x^2 could be represented by the area of a square.  Length and width are the same, so the area would be x^2.  The answer is clearly wrong, since a square with sides of 32 would create a much larger area than 64.

B.  x^2 = 64

  What number times itself equals 64? =  8

This could be either positive or negative, since (-8)^2 is also equal to 64.

Select the correct answer from each drop-down menu.

1. Congruent, not congruent or supplementary

2 adjacent, corresponding or vertical

Answers

E and G are congruent because they are vertical.

1. Congruent

2. verticle (across from each others)

When multiplying exponents do you add them.

Answers

Add the exponents if the bases are the same, multiply the bases if the exponents are the same, if nothing is the same just solve it.

plz help due soon

Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?​

Answers

Answer:

D

Step-by-step explanation:

6% of 40 is 2.4, 40.00+ 2.40=42.40

Answer:

42.50

Step-by-step explanation:

40X1.06

42.40

Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour how long does it take Jada to walk 12 miles

Answers

Answer:

i think it is 234 i am not sure

Step-by-step explanation:

6p-9ps+4q-6qs

need help w this

Answers

Step-by-step explanation:

[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]

WORTH 20 POINTS!!!
Find the discriminant of the quadratic equation x2 + 6x + 14 = 0 and use it to determine the number and types of solutions.

b2 − 4ac

−20; Two nonreal solutions
−20; One real solution
92; Two real solutions
92; One real solution

Answers

Answer:

-20;two nonreal solutions

Step-by-step explanation:

D=b^2-4ac=36-14*4=-20

because after that you need to write D^1/2 and D is <0,the solutions are unreal

Answer:

-20 and two nonreal solutions.

Step-by-step explanation:

The discriminant of a quadratic equation uses the equation:

[tex]b^2 - 4ac[/tex]

Where the value of this calculation can tell you what solutions there are, plug known values in:

[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]

[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

Hope this helps!

Cassidy's gross income for the year included salary, $ 11,400; commission,
$ 17,720; and interest, $540. Her adjustments to income were payments to
a retirement plan, $1,000 and 2 exemptions at $4,000 each. Find her
taxable income.
A. $29,120
B. $9,000
C. $20,660
D. $24,120

Answers

Answer:

C. $20,660

Step-by-step explanation:

Letter c is the answer

Streams, rivers, ponds, lakes, and wetlands are all kinds of ecosystems.

Answers

Answer:

True

Step-by-step explanation:

They can sustain themselves

Answer:

Natural freshwater ecosystems represent the terrestrial phases of the global hydrological cycle and include rivers, streams, lakes, ponds, wetlands, as well as groundwaters.

A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied.

Answers

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

Two groups of 22 patients, hence, the standard errors are:

[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]

[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]

The distribution of the differences is has:

[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{25 - 0}{11.14}[/tex]

[tex]t = 2.2438[/tex]

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at https://brainly.com/question/25600813


14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth

Answers

Answer:

I'm an island boii ️️

helppppppppppppppppppppppppppppppppppppppppppppppp i will biranlllllly

Answers

Answer:

I don't know if this is right, sorry. I tried my best to determine them, none of them seemed like the would never happen besides the dog one. Have a nice day!

Step-by-step explanation:

a) even chance/ 1/2

b) even chance/ 1/2

c) no chance :(  0

d) even chance/ 1/2

e) even chance/ 1/2

The equation y = 0.8x can be used to calculate the cost (y) of x packs of bubble gum. What is the unit cost of bubble gum?​

Answers

answer =0.8

Step-by-step explanation:

if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit

The unit cost of bubble gum is $0.8 per pack.

What is a linear equation?

A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).

The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.

The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.

Therefore, the unit cost of bubble gum is $0.8 per pack.

To know more about linear equations follow

https://brainly.com/question/13379882

#SPJ2

Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?

Answers

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

https://brainly.com/question/503614

9/12 as an equivelant fraction

Answers

Answer:

3/4

Step-by-step explanation:

9/12

Divide the top and bottom by 3

9/3 = 3

12/3 = 4

The fraction becomes 3/4

If the radius of a circle equals 20 cm find its circumference correct to one decimal place

Answers

Answer:

125.66

Step-by-step explanation:

i don't get the one decimal place part but there your answer

The answer is 125.7 correct to one decimal place

Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?

Answers

Answer:

it cuts it in half

Step-by-step explanation:

and it makes it smaller and therfore it is cut in half hope that helps

Find the number that makes the ratio equivalent to 1:2.
6:


What is it

Answers

The answer would 12. Think of ratios as fractions. 1/2 = 6/12 So, 6:12
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