Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.

Answers

Answer 1

Answer:

s = 13 - x

t = [tex]\frac{18+x}{2}[/tex]

Step-by-step explanation:

To start out with:

s = 18

t = 18

Sue gives Tony x sweets

s = 18 - x

t = 18 + x

Sue then eats 5 of her sweets

s =  18 - x - 5 = 13 - x

t  = 18 + x

Tony eats half of his sweets

s = 13 - x

t = [tex]\frac{18+x}{2}[/tex]

(Possible constraint that [tex]x\mod 2 = 0[/tex])

Answer 2
Final answer:

When Sue gives Tony x sweets, and then eats 5, she has 13 - x sweets left. Tony, having received x from Sue and then eats half of his total, has 9 + 0.5x sweets.

Explanation:

The question begins with Sue and Tony each having 18 sweets. First, Sue gives Tony 'x' sweets which results in Sue having 18 - x sweets and Tony having 18 + x sweets. Sue then eats 5 sweets resulting in her having 18 - x - 5 = 13 - x sweets. Tony then eats half of his sweets, resulting in him having (18 + x) / 2 = 9 + 0.5x sweets. So, the expressions summarizing the number of sweets Sue and Tony have now are 13 - x for Sue and 9 + 0.5x for Tony respectively.

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Related Questions

Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position

Answers

Answer:

39 degrees.

Step-by-step explanation:

We want an angle  x  such that   0 < x < 360   and angle x is coterminal with an angle of measure 399 degrees.

so   x =  399 - 360 = 39 degrees

What is the √84 in radian form?

Answers

The answer to this question is 9

Common difference between 31,26,21,16

Answers

I like to work backwards to see if the common difference is the same.

So I take 16 and work to the left.

So I say 16 - 21  which is -5.

Then I do 21 - 26 which is -5.

Finally, 26 - 31 which is -5.

So what I am doing here is just taking the number that is on the right and subtracting it by the number that appears to the left of it.

Notice that I always get -5 and that has to be because in order for this to have a common difference, the result must always be the same if you are working with the method I used above.

So, our common difference is -5.

Which expression has a value equal to the
value of the expression
4 × [(12 + 4) − (12 ÷ 3)]

Answers

Answer:

Solving the expression, it is equal to 48. But it you want and expression equal to 48:

4 x 12 can be the answer.

Step-by-step explanation:

[tex]$4\cdot \left[\left(12\:+\:4\right)\:-\:\left(\frac{12}{3}\right)\right]$[/tex]

[tex]4\left(12+4-4\right)[/tex]

[tex]4 \cdot 12\\48[/tex]

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

1. (x + 3)(x + 4) = 12

2. x + 3 = 12 or x + 4 = 12

3. x = 9 or x = 8

Answers

Answer:

Percy is incorrect

Step-by-step explanation:

I plugged in 9 and 8 for x and both of them did NOT solve it. The only number I know of that can solve it is -7.       -7^2=49

                                             -7 multiplied by 7 =-49

                                                      (49) + (-49) + 12 = 12

Answer:

Percy was not correct.

Percy did not write the equation in standard form before factoring.

The correct solutions are 0 and –7.

The equation should have first been written as x2 + 7x = 0 before factoring.

The solutions 8 and 9 do not make the equation true.

Step-by-step explanation:

Can someone Help plz

Answers

Answer:

I wish i could help but im dumb :(

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

V= Base x Height

If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6

Please mark brainliest ;)


If a quadratic graph opens down does it have a maximum or a minimum?

Answers

Answer:

The answer to this question is maximum

Answer:

Maximum

A downward parabola will have the highest point at the very top, so it will have a maximum.

What is the base of y=Inx

Answers

Answer:

The base is natural number e = 2.71828...

Step-by-step explanation:

By definition of natural log, the base is e = 2.71828...

Final answer:

The base of the function y = ln(x) is the irrational number e (approximately 2.71828).

Explanation:

The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.

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A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s left parenthesis t right parenthesis equals negative 16 t squared plus 126 t. At what times will the ball be 211 feet from the​ ground?

Answers

Answer:

t = 5.46 secs and t = 2.42 secs

Step-by-step explanation:

The distance of the ball from the ground is given by:

[tex]s(t) = -16t^2 + 126t[/tex]

When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:

[tex]211 = -16t^2 + 126t[/tex]

[tex]=> 16t^2 -126t + 211 = 0[/tex]

Using the quadratic formula:

[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

where a = 16, b = 126 and c = 211

Hence:

[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]     and          [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]

[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex]                     and           [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]

[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex]                                and           [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]

[tex]t = \frac{126 + 48.703 }{32}[/tex]                                and           [tex]t = \frac{126 - 48.703 }{32}[/tex]

[tex]t = \frac{174.703}{32}[/tex]                                     and           [tex]t = \frac{77.297}{32}[/tex]

=> t = 5.46 secs and t = 2.42 secs

This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.

This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.

Final answer:

To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.

Explanation:

In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.

First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.

Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.

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8. A polyhedron has 15 edges and 10 vertices. How many faces does it
have? *​

Answers

Answer:

In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices

Step-by-step explanation:

Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?

shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down

Answers

Answer:

A. on EDG

Step-by-step explanation:

took quiz!!!!!

Answer: A

Step-by-step explanation:

edge 2023

how do i calculate the standard deviation? ​

Answers

Answer:

1.Work out the Mean (the simple average of the numbers)

2.Then for each number: subtract the Mean and square the result.

3.Then work out the mean of those squared differences.

4.Take the square root of that and we are done!

Step-by-step explanation:

Answer:

To calculate the standard deviation of those numbers:  Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result.  Then work out the mean of those squared differences. It was easy. Have a great day.

Step-by-step explanation:

Brainliest!

:
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?

Answers

Answer:is yes

Step-by-step explanation:

no

Answer:

A= 8.182

B= 8

Step-by-step explanation:

Find the common ratio for the geometric sequence of, 162, 108, 72, 48 ......
A- -3/2
B- -2/3
C- 2/3
D- 3/2​

Answers

2/3Answer:

Step-by-step explanation:

answer quick for brainliest...

Answers

Y=2
I just plugged in 2 for x

Answer:

B-y=2

Step-by-step explanation:

y= 2x-2

X=2

y=2(2)-2

y=4-2

y=2

Find the measure of angle B. Round your answer to the nearest degree.
sin B = 0.8659
a 30°
b 60°
C 40
d 20​

Answers

The answer is b. 60 !!!!!!!!!!!!!!!!!

Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number.

Diameter = 3 cm, Height = 4 cm
a.
57 cu. cm
b.
25 cu. cm
c.
38 cu. cm
d.
9 cu. cm

Answers

Answer:

c

Step-by-step explanation:

The volume of the cone with a diameter of 3 cm and height of 4 cm is calculated using the formula V = (1/3)πr²h. After finding the radius to be 1.5 cm, we get the volume to be 9.42 cm³, which rounds to 9 cm³.

First, we calculate the radius of the cone which is half of the diameter. That gives us a radius (r) of 1.5 cm. Plugging the values into the formula, we get:

V = (1/3)π(1.5 cm)²(4 cm)

V = (1/3)π(2.25 cm²)(4 cm)

V = (1/3)π(9 cm³)

V = 3 π cm³

V = 3 π cm³

V = 3 × 3.14 cm³

V = 9.42 cm³, which rounds to 9 cm³ to the nearest whole number.

The correct option is d. 9 cu. cm.

I’ll give out brainliest just please help me out ((trigonometry))

A radio station tower was built in 2 sections. From a point 97 from the base of the tower, the angle of elevation of the top of the first section is 25, and the angle of elevation of the top of the second section is 40.

To the nearest foot, what is the height of the top of the tower. Explains how you found the answer

Answers

Answer:

Step-by-step explanation:

I am so sorry what grade is this?

What is the mode for 20 sites?

Answers

the answer would be 4 help

The answer is 2 and 1. Hope this help btw

what is the equation to any vertical asymptotes or the x coordinations of any points of discontinuity?

f(x)=2/x-4

Answers

Answer:

748 is the answer

Step-by-step explanation: toda

can someone do this please

Answers

Answer:

x = 16

Step-by-step explanation:

4x - 7 = 3x + 9

4x = 3x + 16

1x = 16

x = 16

The length of a rectangle is 9 inches less than twice the width . If the perimeter of the rectangle is 84 inches find the dimensions of the rectangle

Answers

Answer:

25 by 17

Step-by-step explanation:

9x2=18

84=18= 102

102/6 = 17 (width)

17x2-9=25 (length)

If f(x) = 2x-3, find f(-2).

Answers

Answer:

F(2)=-7

Step-by-step explanation:

f(-2)=2x-3

you substitute the x on the positive 2

2(-2)=-4

-4-3-=7

-7

Hence the result of the function is x is -2 is -7

Given the function f(x) = 2x-3,

Domain of a function is the input value for which the function exists.

The range of the function is the output value for which the function exists

From the question, we can see that we are to find the resulting range if the domain of the function is -2.

To get f(-2), we will need to substitute x as 2 into the function as shown

f(-2) = 2(-2) - 3

f(-2) = -4 - 3

f(-2) = -7

Hence the result of the range with the domain of -2 is -7

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factor the polynomials.
1. a^2+16a+64​

Answers

Answer:

(a + 8) (a + 8)

Step-by-step explanation:

a² + 16a + 64

a² + 8a + 8a + 64

a(a + 8) + 8(a + 8)

(a + 8) (a + 8)

Find the exact value of cos 15°

Answers

Answer:

[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Step-by-step explanation:

Using the difference formula for cosine and the exact values

cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]

cos(a - b) = cosacosb + sinasinb

Note 15° = 45° - 30°, thus

cos15°

= cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Answer:

[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]

Step-by-step explanation:

I think the answer is letter C, can someone check me and make sure that is correct.

Answers

Answer:

You're Correct

Step-by-step explanation:

Keep up your good work

A tree cutting business has an insurance policy to cover any damages caused during the tree cutting process. The business pays an annual premium of $1,500 for a policy that covers up to $500,000 in damages. The probability of a tree causing damage is 0.002. What is the expected value?

Answers

Answer:

  -$500

Step-by-step explanation:

The expected value of a payment from the policy is ...

  $500,000 × 0.002 = $1000

Since the business pays $1500 for the policy, the expected value to the business is ...

  $1000 - 1500 = -$500 . . . per year

_____

Of course, the expected value to the insurance company is $500 per year.

_____

We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.

Which operation should be used to solve x + 3 = 7?

Answers

Answer:

You can use the Subtraction property of equality

You have to subtract 3 on both sides to have x alone, which will give you x=4

Answer:

SUbtraction

7-3=4 so X is 4

Step-by-step explanation:

What is equivalent to (3x^2y)(10x^5y^3)???

Answers

Answer:

[tex]30x^{7} y^{4}[/tex]

Step-by-step explanation:

simplify

Final answer:

The equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4, obtained by multiplying the coefficients and adding the exponents of like bases.

Explanation:

The question asks for the equivalent expression of the product (3x^2y)(10x^5y^3).

To find the equivalent expression, we need to apply the properties of exponents, which state that when multiplying two powers with the same base, we add the exponents. We can also multiply the coefficients in a usual way. Let's break it down into steps:

Multiply the coefficients (numbers outside the exponents): 3 × 10 = 30.

Add the exponents of x: x^2 × x^5 = x^(2+5) = x^7.

Add the exponents of y: y^1 × y^3 = y^(1+3) = y^4.

Combine the results: 30x^7y^4.

Therefore, the equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4.

A book costs $25. It goes on sale for $19. What is the percent of decrease?

Answers

Answer:

31.5789%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

If you use the "is over of" form.

"19 is what percent of 25"

You'd set it up like this:

[tex]\frac{19}{25}[/tex]=[tex]\frac{x}{100}[/tex]

Then cross multiply:

19 times 100 = 1900

25 times x = 25x

Divide 25 into 1900 and get 76.

That is the percent (%) of what 19 is of 25.

BUT we want the space in between the numbers.

To get that, we subtract 100 - 76.

(100 is the whole 100%)

This gives you 24%

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