Mr Jack thinks that ⅘ is equivalent to 9/10 because 4+5=9 and 5+5=10 Explain what was incorrect about this. Please use the terms numerator and denominator in your explanation, below.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\frac{4}{5} = \frac{9}{10}[/tex] --- Jack's thought

Because:

[tex]\frac{4+5}{5+5} = \frac{9}{10}[/tex]

Jack's thought is incorrect.

This is so because, to get an equivalent fraction; you don't add common terms to the numerator and the denominator but instead you multiply the numerator and the denominator by a common term.

Take for instance, the common term is: 2

The fraction becomes:

[tex]\frac{4 * 2}{5 * 2} = \frac{8}{10}[/tex]


Related Questions

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
Some number increased by two A) y2
A variable decreased by two B) x − 2
Product of an unknown value and two C) b + 2
Quotient of some number and two D) 2z
An unknown value squared E) a ÷ 2

Answers

Answer:

match

Step-by-step explanation:

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James bought 12 cookies and ate 3 of them. He ate ____% of the cookies

Answers

25% of the cookies :)

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?

Answers

Answer: 15 / 56

Step-by-step explanation:

Number of red checkers = 3

Number of black checkers = 5

Total number of checkers = 8

P(black, then red) = 5/8 × 3/7 = 15/56

We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.

find the product of (5x+4)(5x-4)

Answers

Answer:

25x² - 16

Step-by-step explanation:

Given

(5x + 4)(5x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 4) + 4(5x - 4) ← distribute parenthesis

= 25x² - 20x + 20x - 16 ← collect like terms

= 25x² - 16

Need help asap Please. Thank you​

Answers

Answer:

B. 477°, -243°

Step-by-step explanation:

Coterminal angles with 117° are:

117° + 360°x, where x is an integer

When x = 1 and -1 we get:

117° + 360° = 477° and 117° - 360° = -243°

It can be easily verified that all the other pairs are incorrect

Correct one is B

A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

Answers

Answer:

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing

The Girl Scouts were selling cookies outside the local grocery store. Each box sold for $4.50.
Which equation could be used to complete the table?
Boxes
Price
1
2
3
4
10
15
18
4.50
9.00
13.50
18.00
45.00
67.50
?
A
y - 4.50 = 18
B
4.50y = 18
С
4.50 x 18 = y
18y = 4.50
I’m

Answers

If your needing to find the amount just multiply the number of boxes by it’s price. So the answers C.

PLSS HELP ME ASAP I WILL EVEN GIVE U BRAINLYEST BUT PLAA HELP ME!!

Is the probability of red a simple event, complement of a
simple event, or neither?
A. complement of a simple event
B. nelther
C. simple event

Answers

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

(-2) and 3

Step-by-step explanation:

Answer:

f=-2, f=3, f=-4, they are all smaller than 4!!!

ANDWER CHOICES:

14cm
20cm
8cm
6cm

I NED HELP ASAP!!!!

Answers

20 cm is the answer to the question

) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
this town made the first eleva
er and wrote a note on it
vater from the sink is leaking
color of copper coins
m
26.50
40
corper pipes for this project
De

Answers

Answer:

$13.50

Step-by-step explanation:

Subtract 40 from 26.50 to get the answer

Three erasers and five pencils cost $7.55. 6 erasers and 12 pencils cost $17.40. How much does 1 eraser cost? How much does 1 pencil cost?

Answers

Answer:

Step-by-step explanation:

erasers=e  

pencils=p

3e+5p=7.55   ...(1)

6e+12p=17.40

divide by 2

3e+6p=8.70  ...(2)

(2)-(1) gives

p=8.70-7.55=1.15

from (1)

3e+5(1.15)=7.55

3e+5.75=7.55

3e=7.55-5.75

3e=1.80

e=1.80/3=0.60

cost of 1 eraser=$0.60

cost of 1 pencil =$1.15

Please help me simplify this expression!!

Answers

Answer:

[tex]w^{14}[/tex]

Step-by-step explanation:

[tex]\frac{1}{w^{11} } *w^{25}\\\\\\\frac{w^{25}}{w^{11}} \\\\w^{14}[/tex]

Which expression is equivalent to 3x+2

Answers

Answer:

(3 x X) + 2

Can be a possible way if you factor it out I think.

Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}

Answers

Answer:

I think it is B but i'm not 100% sure.

Step-by-step explanation:

3 x q x 7 x q= ___. Can someone help?

Answers

21q^2 bc (7x21) x (q x q)

[tex]21 {q}^{2} [/tex]

Step-by-step explanation:

[tex]3 \times 7 \times q \times q = \\ 21 \times q \times q = \\ 21q {}^{2} [/tex]

5. find M<C congruent triangles ​

Answers

Answer:

x = 18 / M<C = 114

Step-by-step explanation:

9x - 24 = (2x - 12) + (4x + 42)

9x - 24 = 6x + 30

     +24         +24

9x = 6x + 54

-6x    -6x

3x = 54

/3     /3

x = 18

C = (4x + 42) = 4(18) + 42 = 72 + 42 = 114

A grocery store offers a service where customers can place an order and have their groceries delivered to their home for a additional fee. The equation y=1.5x can be used to find y, the total cost in dollars for x, the grocery cost In dollars. Ian has groceries delivered for a total cost of &125.90. He says his grocery cost must be $118.90. Is Ian correct? Explain your reasoning

Answers

Answer:

The answer is below

Step-by-step explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

Given that y represents the total cost, x represent the grocery cost and the equation is given as:

y = 1.5x

The groceries where delivered for a total cost of $125.90, The grocery cot can be gotten by substituting y = 125.9 and calculating x. Hence:

125.9 = 1.5x

x = 125.9/1,5

x = $83.93

Therefore saying that the grocery cost must be $118.90 is incorrect.

Can someone tell me how to do this? This is so confusing to me.

Answers

Answer:

A. Rate of Change: 25/1

B. Initial Value: 100

C. Y=25x+100

D. After 6 months the cost is 250$

E. 475=25x+100

475=25x+100

375=25x

x=15

So E. is 15 months

Step-by-step explanation:

If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Eli runs 5 meters per second.

On a coordinate plane, a line goes through points (1, 5) and (2, 10)..

Use the graph to identify the independent and the dependent variable. Check all that apply.
The two variables are Eli and 5.
The two variables are meters and seconds.
Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
Seconds is the independent variable.
Seconds is the dependent variable.


will some on really help me know?

Answers

Answer:

Its B, D, E

Step-by-step explanation:

Answer:

what the person above me said    

Step-by-step explanation:                                   =

                                                                            =====

                                                                        =========

                                                                    =============

                                                               ==================

                                                                           =====

                                                                           =====

                                                                           =====

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alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors

Answers

Answer: $178.50

Step-by-step explanation:

If Alex is paid a piecework rate of $8.50 per motor, then;

Price per motor assembly = $8.50

By assembling 21 motors Alex gets,

1 motor = $8.50

21 motors = (21 * $8.50) / 1

= $178.50 / 1

= $178.50

By assembling 21 motors,

Alex gets $178.50

HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!

Answers

Answer:

-4

Step-by-step explanation:

Can yu guys help me out

Answers

Answer:

they are already answered

Step-by-step explanation:

Right?

Allen wants to have a mean of 90 on his math quizzes. So far, he has scored 86, 94, 88, 95, and 89. What is the least score that Allen needs on his next quiz to have a mean of 90?

Answers

Answer:

88

Step-by-step explanation:

[tex] \frac{86 + 94 + 88 + 95 + 89 + x}{6} = 90[/tex]

The mean would be the sum of all the math quiz grades divided by the number of quizzes taken.

Solve for x:

[tex]86 + 94 + 88 + 95 + 89 + x = 540[/tex]

[tex]452 + x = 540[/tex]

[tex]x = 88[/tex]

Thus, Allen needs at least an 88 to obtain a mean of at least 90.

Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.

Answers

Answer:

Percent sales tax = 9%

Step-by-step explanation:

Listed price = $29

Price with tax = $31.61

Amount of tax = Price with tax - Listed price

= $31.61 - $29

= $2.61

Find the percent sales tax.

Percent sales tax = $2.61/$29 × 100

= 0.09 × 100

= 9%

Percent sales tax = 9%

CAN SOME0NE PLEASE HELP MEEE ASAP!!

Answers

Answer:

[tex]x = 35.6[/tex]

Step-by-step explanation:

It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.

[tex]\frac{KL}{FE}[/tex]

[tex]=\frac{55}{17}[/tex]

Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.

[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]

[tex]x = \frac{605}{17}\\\\x=35.6[/tex]

Answer:

IJ ≈ 35.6

Step-by-step explanation:

Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values

[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )

17 IJ = 605 ( divide both sides by 17 )

IJ ≈ 35.6 ( to the nearest tenth )

The equation of a circle is x^2 + y^2 = 56.25

Answers

Answer:

Step-by-step explanation:

General equation of circle with center at (0, 0) : x² + y² = r²

x² + y² = 56.25

x² + y² = 7.5²

Radius = 7.5 units

Center (0 , 0)

Helloooo what yeaaa

A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?

Answers

Answer:1 meter and 58 centimeters

Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.

If the total, with tip, is $18.25, how much is each cup of hot chocolate?

Enter your answer as a decimal, like this: 42.53

Answers

Answer: Each cup of hot chocolate is $3.25

Step-by-step explanation:

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