Andrew is trying to create a number puzzle for his younger sister to solve. He challenges his sister to find the mystery number. “When 4 is subtracted from half of a number the result is 5.” The equation to represent the mystery number is 1/2−4=5.
Andrew’s sister tries to guess the mystery number.

a. Her first guess is 30. Is she correct? Why or why not?


b. Her second guess is 2. Is she correct? Why or why not?
c. Her final guess is 4 1/ 2. Is she correct? Why or why not?

Answers

Answer 1

None of these guesses are correct.

Let's work this problem in reverse.

Try it this way.

1/2x-4=5

This is actually quite simple to solve.

Because half of x minus 4 will equal 5, we just need to add 4 and 5 to get half of our mystery number. 4+5=9. So, 9 is half of x. Add 9 to 9 to get our mystery number, which is 18.

30 is not correct because Half of 30 is 15, and 15-4 is 11, not 5.

2 is also not correct because half of 2 is one, and 1-4 is -3, not 5.

4 1/2 is not correct as well because half of 4 1/2 is 2 1/4, and 2 1/4-4 is -2 1/2, not 5.

Hope this helped!

Answer 2

None of her guesses are correct. “When 4 is subtracted from half of a number the result is 5.” The number should be 18.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

When 4 is subtracted from half of a number the result is 5.”

Let the number be x

x/2-4=5

We need to find the value of x

x/2=5+4

x/2=9

x=18

a. Her first guess is 30. Is she correct

No, the number should be 18 not 30 because half of 30 is 15 and when we subtract 4 from 15 we get 11

b. Her first guess is 2. Is she correct

No, the number should be 18 not 2 because half of 2 is 1 and when we subtract 4 from 1 we get -3.

Even 4 1/ 2 is not correct hence 18 is not correct.

Hence, none of her guesses are correct.

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Related Questions

What is the value of (16^3/2)^1/2

Answers

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know that a^ b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Now rewriting 16 as 2^4

2^4^3/4

2 ^ (4*3/4)

2^3

8

___ x 0.1 = 15. Please help!

Answers

Answer:

Step-by-step explanation:

a x 0.1 = 15

.1a = 15

a = 15/0.1

a = 150

Answer:

The answer is 150

Step-by-step explanation:

You would have to mutiply 0.1, 150 times. Then you would get 15.

Hope this helps

brainliest if correct :)

I need 1-5 and 8 and 9 solved

Answers

Answer:

1. A

2. H

3.B

4. H

5. A

Those are the answers

Step-by-step explanation:

1. 30 - 2(-8)= 46

2. BODMAS applied 6-7 =-1

3. 45/-5=-9

4. Sum is h +73

5.BODMAS applied 60 /6 = 10

if a=3/6 and b=-3/-5 find -3a+4b

Answers

Answer:

Step-by-step explanation:

-3(3/6) + 4(3/5)

-3(1/2) + 4(3/5)

-3/2 + 12/5

-15/10 + 24/10

9/10

what is the sum of this expression. 4 3/8 + 7 3/4

Answers

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

[tex]\frac{97}{8}[/tex]

4 3/8 + 7 3/4 = 12 1/8

Explanation: 3/8 + 3/4 =1 1/8
4+7 = 11

11 + 1 1/8 = 12 1/8
I høpe this hełped yøü

Janice is traveling at a constant rate. She traveled 243 miles on 9 gallons of gas and 324 miles on 12 gallons of gas. How many miles can Janice travel on one gallon of gas?

Answers

Divide total miles driven by number of gallons of gas used.

243 miles / 9 gallons = 27 miles per gallon

324 miles / 12 gallons = 27 miles per gallon.

She can drive 27 miles on one gallon of gas.

Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an identical watch costs £145. Given that £1=1.55CHF a) In which city is the watch cheaper. b) By how much is it cheaper (in £) i need help on part b , pleeeeaseeee help;(

Answers

Answer:

The watch is cheaper in Geneva, Switzerland by a value of £20

Step-by-step explanation:

To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.

Since pounds is also used in the b part of the question, it would be easier working with it.

In Geneva, the price of the watch is 193.75 CHF

from our conversion formula;

£1 = 1.55 CHF

£x = 193.75 CHF

We cross multiply to get the value of x

(193.75 * 1)/1.55

= 193.75/1.55 = £125

We can see that the watch costs less in Geneva and higher in Manchester

By how much is it cheaper?

We can calculate this by subtracting the value in Geneva from the value in Manchester

That would be 145-125 = £20 cheaper

Find the volume of a cone with a height of 9 cm and a base of 5 cm

Answers

Answer:

V=πr2h

3

Step-by-step explanation:

Answer:

15 cm³

Step-by-step explanation:

The formula for the volume of a cone is:

V = πr²h /3

where r is the radius and h is the height

Let's substitute the given values into this equation:

V = πr²h /3

(Remember that the base of a cone is a circle and the formula for the area of a circle is πr²)

V = πr²h /3

V = (5)(9/3)

Solve:

V = (5)(9/3)

V = (5)(3)

V = 15

Therefore, the volume of the cone is 15 cubic centimeters.

What is 1 10/21 + 4 5/7 these are fractions btw

Answers

Answer:

Exact form:

130/21

Decimal form:

6.190476 (repeating decimal)

Mixed number form:

6 4/21

A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary

Answers

Answer:

$839.95

Step-by-step explanation:

The dining set costs 785.

The sale tax is 7%

This means that the tax costs 7% of 785.

Sales tax: 785*0.07=54.95

Add to original price to find the total price.

54.95+785=839.95

The cost to purchase the dining set is $839.95

Answer:

835.95

Step-by-step explanation:


What is the area?
7 m
4 m
square meters?

Answers

Answer:

28 square meters

Step-by-step explanation:

7 x 4= 28

28 square meters

Harry's soccer team is trying to raise $2520 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $15 for the breakfast. How many people need to attend their breakfast in order to raise $2520?

Answers

Answer: 168 people have to attend

Step-by-step explanation: 2520÷15= 168...just divide it to get it, if it help pls mark as brainliest ^-^, Thank you!

square root of 0.8722 by division method

Answers

This is not a perfect square

Find the area of a circle whose circumference is 24 pi.

Answers

Answer:

452.39 sq.unit is the area of that circle.

If f(x) = 3x - 2 and g(x) = x2 +1, find (*+g)(x).
A. x2 + 3x-1
B. x2 +3x+1
C. 4x7-1
D. 2x+3

Answers

Answer:

A

Step-by-step explanation:

8. ¿Cuál es la media de las calificaciones de los alumnos de quin-
to grado?
9, 9, 6, 8, 7, 9, 7, 6, 8,9, 8, 6, 7
a) 6.98
b) 7.75
c) 7.61
d) 9.03

Answers

La media se encuentra sumando todos los números 9+9+6+8+7+9+7+6+8+9+8+6+7 (te daría 99) y después divides el 99 entre la cantidad de números (son 13). Entonces divides 99/13 y te la 7.61.

La media de los alumnos de quinto grado es c) 7.61

Each of the letters in the word MONASTIC are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be "A"?

show work pls!

Answers

Answer:

1/8 = 12.5%

Step-by-step explanation:

There are 8 letters in the word MONASTIC.  One of the letters is A.

So the probability is 1/8, or 12.5%.

Please answer CORRECTLY !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!

Answers

Answer:

Option C

Step-by-step explanation:

f(x)= x²-9 ⇒ It has roots 3 and -3g(x) has roots 2 and 10 as per the graph

Correct answer is option C

Q5. Find the simple interest on $950 at 6% per annum for three years.

Answers

Answer:

$171

Step-by-step explanation:

=PRN

950×0.06×3

hope this helps and makes sense :))

Answer:

$171

Step-by-step explanation:

SI=950×6×3/100

=$171

HOPE IT HELPS

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

x = 11

Step-by-step explanation:

(-x + 11)(x + 3)= 0

-x + 1 1 = 0 or x+3 = 0

-x = -11 or x = -3

x=11 or x=-3 (rejected cos negative)

Make v the subject of the relation KE = ½mv²

Answers

Answer:

[tex]v=\sqrt{\frac{2KE}{m} }[/tex]

Step-by-step explanation:

[tex]KE = 1/2mv^2[/tex]

[tex]KE/1/2=mv^2[/tex]

[tex]2KE=mv^2[/tex]

[tex]2KE/m=v^2[/tex]

[tex]\sqrt{2KE/m} =v[/tex]

Hey can someone help please Whatb is the value of the 8 in 873 119

Answers

The value of 8 is 800,000 :)

E is between D and F. DE = 4x + 2, EF = 3x, and DF = 16.

Answers

Answer:

x=2

Step-by-step explanation:

DE=4x+2, EF=3x, and DF=16

DE=4(2)+2, EF=3(2), and DF=16

DE=10, EF=6, and DF=16

i need help good explanation and answer for more points

Answers

Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.

Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.

But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.

Add that to the previous 12 feet calculated to get 60.

Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.

The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2

81/2

40.5.

Add to the previous 60 we got and that makes 100.5 square feet.

Hope this helped!

The surface area of a cone is given by the formula S = pi*t + pi * r ^ 2 the formula for LSlant height ( l = S - r ^ 2 l = S + r ^ 2 0 l = s/pi - r ^ 2 0 l = 5/pi + r ^ 2

Answers

Answer:

[tex]l = \frac{S}{\pi r} - r[/tex]

Step-by-step explanation:

Given the surface area of a cone expressed as S = [tex]\pi r^{2} +\pi rl[/tex] where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;

[tex]S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\[/tex]

The final expression gives the value of the slant height.

Answer: l=s/3.14-r2

Step-by-step explanation:

did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)

Howard needs new gutters for the front and both sides of his home. The front of the house is 50 ft 8 in., and each side is 22 ft 9 in. Wide. What length of gutter must he buy?

Answers

Answer:

95 ft 10 in

Step-by-step explanation:

We need to add the lengths of the front of the house and both sides of the house:

50 ft 8 in + 2(22ft + 9in)

= 50ft + 8 in + 44ft + 18in

= 94ft + 22in

12 inches = 1 foot

22 inches = 1 ft 10 in

Therefore, the length of the gutter he must buy must be:

94 ft + 1 ft + 10 in

= 95 ft 10 in

A data set consists of the following data points:
(2,4),(4,7), (5,12)
The line of best fit has the equation y = 2.5x - 1.5. What does
predict for a value of x = 3?
O
A. 7.5
B. 6
C. 10.5
O D. 9
SUSMIT
< PREVIOUS

Answers

Answer:

B. 6.

Step-by-step explanation:

When x = 3 the prediction is 2.5(3) - 1.5

= 6.

The value of y at x = 3 is,

⇒ y = 6.0

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

A data set consists of the following data points:

⇒ (2, 4),(4, 7), (5, 12)

And, The line of best fit has the equation;

⇒ y = 2.5x - 1.5.

Now, At x = 3;

⇒ y = 2.5x - 1.5.

⇒ y = 2.5 × 3 - 1.5.

⇒ y = 7.5 - 1.5

⇒ y = 6.0

Thus, The value of y at x = 3 is,

⇒ y = 6.0

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FOR 14 points! A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies? Which equation represents the scenario? How many people went to the movies?

Answers

x = number of people went to movies

equation

6.25x + 12 = 30.75

6.25x = 30.75 - 12

6.25x = 18.75

      x = 18.75 / 6.25

      x = 3

answer

3 people

Answer:

6.25x + 12 = 30.75

3 people

Step-by-step explanation:

I had $5.00 My Mom gave me $10.00 while my Dad gave me $30.00. My Aunt and Uncle gave me 100.00. I had another $5.00 How much money did i really have?

Answers

Answer:

$150

Step-by-step explanation:

5+10+30+100+5=150

10

Step-by-step explanation:

The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa

Find the value of x.

Answers

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

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