Antoni has read 147 pages of a book.He has completed 70% of the book.How many more pages does he need to read to finish the book

Answer: Ratio of number of Meili's stickers to Suhua becomes 19:21.

Step-by-step explanation:

Let the number of Meili's stickers be 3x

Let the number of Suhua's stickers be 7x

According to question ,

[tex]7x-3x=32\\4x=32\\\\x=\frac{32}{4}\\\\x=8[/tex]

[tex]\text{So, the number of Meili's stickers} = 3\times 8=24\\\\\text{ the number of Suhua's stickers }=7\times 8=56[/tex]

[tex]\text{Now, we have given that Suhua give } \frac{1}{4} \text{ of her stickers to Meili}\\\\= \frac{1}{4}\times 56\\=14[/tex]

So, now,

[tex]\text{Number of stickers Meili has }= 24+14=38\\\\\text{Number of stickers Suhua has }=56-14=42[/tex]

Ratio becomes ,

[tex]38:42\\=19:21[/tex]

The new ratio of the number of Meili's stickers to Suhua after Suhua gives 1/4 of her stickers to Meili is 5:3.

Explanation:

Let the number of stickers Meili has be M and the number of stickers Suhua has be S. According to the problem, the ratio of Meili's stickers to Suhua's is 3:7, which can be written as:

[tex]\[ \frac{M}{S} = \frac{3}{7} \][/tex]

 It is also given that Suhua has 32 more stickers than Meili. This can be represented as:

[tex]\[ S = M + 32 \][/tex]

Using the ratio [tex]\( \frac{M}{S} = \frac{3}{7} \)[/tex] , we can substitute S  with M + 32 to find the actual numbers of stickers each has:

[tex]\[ \frac{M}{M + 32} = \frac{3}{7} \] \[ 7M = 3(M + 32) \] \[ 7M = 3M + 96 \] \[ 4M = 96 \] \[ M = \frac{96}{4} \] \[ M = 24 \][/tex]

Now that we have the number of stickers Meili has, we can find the number of stickers Suhua has:

[tex]\[ S = M + 32 \] \[ S = 24 + 32 \] \[ S = 56 \][/tex]

Next, Suhua gives 1/4 of her stickers to Meili. The number of stickers Suhua gives away is:

[tex]\[ \frac{1}{4} \times 56 = 14 \][/tex]

After giving away 14 stickers, Suhua will have:

[tex]\[ S' = 56 - 14 \] \[ S' = 42 \][/tex]

Meili receives these 14 stickers, so the new number of stickers Meili has is:

[tex]\[ M' = 24 + 14 \] \[ M' = 38 \][/tex]

Now, the new ratio of Meili's stickers to Suhua's is:

[tex]\[ \frac{M'}{S'} = \frac{38}{42} \][/tex]

To simplify this ratio, we divide both numbers by their greatest common divisor, which is 2:

[tex]\[ \frac{38}{42} = \frac{38 \div 2}{42 \div 2} \] \[ \frac{38}{42} = \frac{19}{21} \][/tex]

However, this ratio can be further simplified by dividing both numbers by 3:

[tex]\[ \frac{19}{21} = \frac{19 \div 3}{21 \div 3} \] \[ \frac{19}{21} = \frac{6.33}{7} \][/tex]

Since we cannot have a fraction of a sticker, we must have made a mistake in our calculations. Let's re-evaluate the new ratio after correcting the mistake:

[tex]\[ \frac{M'}{S'} = \frac{38}{42} \][/tex]

Both 38 and 42 are divisible by 2:

[tex]\[ \frac{38}{42} = \frac{38 \div 2}{42 \div 2} \] \[ \frac{38}{42} = \frac{19}{21} \][/tex]

 Now, we can simplify this ratio by dividing both numbers by 7:

[tex]\[ \frac{19}{21} = \frac{19 \div 7}{21 \div 7} \] \[ \frac{19}{21} = \frac{2.71}{3} \][/tex]

Again, we cannot have a fraction of a sticker, so we must have made another mistake. Let's correct it:

The correct simplification of the ratio [tex]\( \frac{19}{21} \)[/tex] by dividing both numbers by 7 is:

[tex]\[ \frac{19}{21} = \frac{19 \div 7}{21 \div 7} \] \[ \frac{19}{21} = \frac{2.71}{3} \][/tex]

This is incorrect because 19 is not divisible by 7. The correct division is:

[tex]\[ \frac{19}{21} = \frac{19 \div 7}{21 \div 7} \] \[ \frac{19}{21} = \frac{5}{3} \][/tex]

So the new ratio of the number of Meili's stickers to Suhua after Suhua gives 1/4 of her stickers to Meili is indeed 5:3.

Answer:

See two different cases, below:

Step-by-step explanation:

You cannot "solve" w-w*2+-2w*2, because this is not an equation.  Rather, you want to simplify w-w*2+-2w*2 by combining like terms.  You have w  -  2w   -  4w, or -5 w.

If, however, you meant "exponentiation" by " * "  then you have   w^1 - w^2 - 2w^2, which in turn equals w - 3w^2, or, in descending order by powers of w, -3w^2 + W.

s^5*t or s^5+t since there is no number we can pretend there is a 1 behind the s.

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-------> the set of numbers that represent the solution of the situation

we know that

The expression " At least [tex]-6[/tex] " represent the inequality

[tex]x\geq -6[/tex] -----> all real numbers greater than or equal to  [tex]-6[/tex]

The expression " At most [tex]3[/tex] " represent the inequality

[tex]x\leq 3[/tex] -----> all real numbers less than or equal to  [tex]3[/tex]

The solution of the situation is equal to the interval-------> [tex][-6,3][/tex]

see the attached figure

Answer: about 16 people would get to 100 and 30,000 would make it to 99

Step-by-step explanation:

the avarage life span is up to 70 years. About 1 in 6,000 reach 100.

Answer:

795 people out of every 100,000 will die between ages 99 and 100.

Step-by-step explanation:

edmentum/plato

Answer:

The answer is 2 times x.

Step-by-step explanation:

X is the number of students. If each of the student received 2 pencils then you multiply 2 by the number of students.

Let s = Car B's speed

Car B is 15 mph faster than A, therefore

(s - 15) = Car A's speed

Write a distance equation; dist = speed * time

2(s-15) = 1.5s

2s - 30 = 1.5s

2s - 1.5s = 30

.5s = 30

s = 60 mph is car B's speed

Confirm this find the distances, they should be equal

2 (60-15) = 90

1.5 (60) = 90  

X would be equivalent to 15.

31+14=45/3x = 15

X = 15

Answer:

[tex]x=15[/tex]

Step-by-step explanation:

[tex]3x=45[/tex]                  Add 14 to both sides

[tex]x=15[/tex]                     Divide 3 on both sides

Hope this helps '-'

BangtanBoyScouts

The 2 angles on the left need to equal 180:

3y +5 + 85 = 180

Combine like terms:

3y+90 = 180

Subtract 90 from each side:

3y = 90

Divide both sides by 3:

y = 90 /3

y = 30

Now solve the equation with y:

3(30) +5 = 90+5 = 95

Now the two equations also need to equal 180:

95  + 2x +1 = 180

Combine like terms:

2x + 96 = 180

Subtract 96 from each side:

2x = 84

Divide both sides by 2:

x = 84 /2

x = 42

X = 42, y = 30

The answer is the 3rd choice.

[tex]15,\ 1,\ 4,\ 4,\ 8,\ 7,\ 15,\ 4,\ 15,\ 4,\ 5\to\underbrace{1,\ 4,\ 4,\ 4,\ 4,\ 5,\ 7,\ 8,\ 15,\ 15,\ 15}_{11}\\\\mean=\dfrac{1+4+4+4+4+5+7+8+15+15+15}{11}=\dfrac{82}{11}\approx7.5\\\\median:1,\ 4,\ 4,\ 4,\ 4,\ \boxed{5},\ 7,\ 8,\ 15,\ 15,\ 15\\\\mode:1,\ \underbrace{4,\ 4,\ 4,\ 4}_{4},\ 5,\ 7,\ 8,\ 15,\ 15,\ 15[/tex]

Answer:

Mean = 7.5, median = 5, mode = 4

Step-by-step explanation:

Answer:

It would be 2%

Step-by-step explanation:

Hope this helps! :D

The simple annual interest rate for this loan will be 2%.

Simple interest is extra money paid by the person borrowing the money. The formula for the simple interest is;

[tex]\rm SI = \frac{P \times R \times T}{100}[/tex]

Given data;

P(Principal) =$1500

R(Rate)=?

T)TIme)=5year

SI(Simple interest)=$ 150

The simple interest is calculated as ;

[tex]\rm SI = \frac{P \times R \times T}{100} \\\\ 150 = \frac{1500 \times R \times 5 }{100} \\\\ R=2 \%[/tex]

Hence, the simple annual interest rate for this loan will be 2%.

To learn more about simple interests, refer to;

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Answer:

2

Step-by-step explanation:

Please express your 4x2+10x−4 as 4x^2+10x−4.  The " ^ " symbol denotes exponentiation.

Let's use synthetic division to carry out this division.  For this purpose the coefficients of the polynomial 4x^2+10x−4 are 4, 10 and -4.  If we are to divide this poly by 2x - 1 in long division, the equivalent divisor for use in synthetic div. is 1/2.

        -----------------

1/2   /   4    10    -4

                   2     6

       ---------------------

          4       12     2    The remainder turns out to be 2.

Answer:

The remainder is 2

Step-by-step explanation:

( 4x2 + 10x - 4 ) = ( 2x - 1) ( 2x + 6 ) + 2

So when we multiply the divisor with the quotient and then add the remainder we get the dividend. This is show below :

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = [tex]2\pi rL[/tex]

Area of the parts that cover the open parts of cylinder = [tex]2\pi r^2[/tex]

Therefor Total are of the cylinder = [tex]2\pi rL+2\pi r^2[/tex]

Area of the total cylinder = [tex]2*3.14*6.8*14.2+2*3.14*6.8^2[/tex]

                                          =[tex]896.784[/tex]

Therefor best estimate will be D) 923 in^2

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

[tex](AC)^2+(CB)^2=(AB)^2[/tex]

The distance from A to C = 6

The distance from C to B = 5

[tex](AC)^2=6^2=36[/tex]

[tex](CB)^2=5^2=25[/tex]

[tex](AC)^2+(CB)^2=(AB)^2=36+25=61[/tex]

Therefor [tex](AB)^2=61\\(AB)=\sqrt{61}[/tex]

Therefor Answer is D) Sqr 61

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 =[tex]\frac{1}{2} *(110+40)*110=8250[/tex]

Area of the Store 2=[tex]\frac{1}{2} *110*80=4400[/tex]

Therefore Revenue from Store 1 = $8250

                 Revenue from Store 2 = $4400

Answer is A) Store 1  has more sales revenue

Answer for Question 4

[tex]\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545[/tex]

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

[tex]\frac{11}{23} =0.4782[/tex], therefor this is not in between those two numbers.

Then it has to be [tex]\frac{115}{264} =0.4356[/tex]

Answer is B)

Answer for question 6

The equation of a straight line is of the form [tex]y=mx+c[/tex]

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

[tex]\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2[/tex]

Therefor the equation of the graph is,

[tex]y=2x+1[/tex]

Answer is C

Answer for question 7

[tex]\frac{7}{8} =0.875[/tex]

[tex]\frac{6}{9} =0.67[/tex]

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

[tex]\frac{53}{72} =0.73[/tex], This falls between the above 2 numbers.

Therefor answer is C

Hello, I can help.

The value of N- 7

Here is how i got the answer.

1: Multiply both sides by 2

2: Simplify 64*2 to 128

3: convert both sides; 2^n =2^7

4:divide 2 on both sides; n=7

Hope this helps.

Answer:

The probability of taking $ 2.5 is 12.2%

Step-by-step explanation:

To make $ 2.5 with only 3 coins, you have to take out 2 $ 1 coins and a $ 0.5 coin in one of the following 3 ways:

(1) (1) (0.5) = (2.5) (i)

(1) (0.5) (1) = (2.5) (ii)

(0.5) (1) (1) = 2.5 (iii)

There are 3 coins (1)

There are 9 coins (0.5)

Therefore, the probability of drawing a coin from (1) on the first attempt is 3/12

The probability of drawing a coin of (0.5) on the first attempt is 9/12.

Then, the probability of drawing $ 2.5 from the form (i) is:

[tex]P_{(i)}= \frac{3}{12}*\frac{2}{11}*\frac{9}{10} = 0.0409 = P_{(ii)} = P_{(iii)}[/tex]

Finally:

P ($ 2.5) = P (i) U P (ii) U P (iii)

P ($ 2.5) = P (i) + P (ii) + P (iii)

P ($ 2.5) = 3P (i)

P ($ 2.5) = 3 * 0.0409

P ($ 2.5) = 12,227

The probability of taking $ 2.5 is 12.2%

So the corcumference is equal to the diameter tiems pi.

Youre given the diameter, so just multiply it by pi.

The answer is 43pi.

The circumference of a circle with a diameter of 43 cm can be calculated using the formula C = πd. Substituting 43 for d, the exact circumference in terms of pi is 43π cm.

The circumference of a circle is determined by the formula C = πd, where C is the circumference, d is the diameter of the circle, and π (Pi) is a mathematical constant whose approximate value is 3.14. If we plug the given diameter of 43 cm into the formula, we get C = π * 43. Thus, the exact circumference in terms of pi is 43π cm.

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Answer:

larger number is 20

Step-by-step explanation:

Let the larger number be x

And smaller number be y.

Then,

x + y = 15   {Sum of two numbers is 15}

And

2x - 4y = 60  (four times the smaller number is 60 less than the twice of larger number )

So we get two equations as :

x + y = 15

2x - 4y = 60

On solving above two equations we get:

Plug x = 15 - y in second equation

we get, 2 (15 - y) - 4y = 60

or    30 - 2y - 4y = 60

or      - 6y = 60 - 30

or     y = -30/6  = -5

So we get y = -5 and x = 15 - (-5) = 20

Hence the larger number is 20

The sum would be

4x^2-x+1

add like terms.

3x^2+x^2

4x^2

4x+-5x

-x

3-2

1

4x² - x + 1

summing gives :

3x² + 4x - 2 + x² - 5x + 3 ( collect like terms )

(3x² + x² ) + (4x - 5x ) + ( - 2 + 3 )

= 4x² - x + 1

Solution :

Given a right triangle with hypotenuse 85 and legs 84 and y.

Use Pythagoras theorem, to find the length of the leg y of the right triangle.

According to Pythagoras theorem,

[tex](hypotenuse)^{2} = leg_{1}^{2}+leg_{2}^{2}[/tex]

As given in the question,

[tex]hypotenuse = 85 \\\\leg_{1} = 84\\\\leg_{2} = y[/tex]

Put these values,

[tex]\Rightarrow 85^{2}=84^{2} +y^{2} \\\\\Rightarrow y^{2}=85^{2}-84^{2}\\\\\Rightarrow y =\sqrt{85^{2}-84^{2}} \\\\\Rightarrow y =\sqrt{169}\\\\\Rightarrow y =13[/tex]

Hence, the length of leg y =13.

Answer:

The length of leg y=13

Step-by-step explanation:

Answer: Consider a quadrilateral ABCD such that AC ans BD are the two diagonals of ABCD.

With reference to figure 1 .

In triangle ABC and triangle ADC  ,by using triangle inequality we have

AB +BC > AC .......(1)

and AD + CD >AC......(2)

adding (1) and (2) we have

AB+ BC+CD+AD>2AC....(3)

Similarly we get for diagonal BD

AB+BC+CD+AD>2BD....(4)

Adding (3) and (4) we get

2(AB+BC+CD+AD)> 2(AC+BD)

⇒(AB+BC+CD+AD)> AC+BD where (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence, the sum of the length of the diagonals of a quadrilateral is less than the perimeter.

Now 2 diagonal divides quadrilateral into 4 quadrilaterals  

Therefore AO+OD>AD

OD+OC>CD

OC+OB>BC

And OA+OB>AB

Adding all these conclude that

2(AC+BD)>AB+BC+CD+AD

⇒AC+BD>1/2(AB+BC+CD+AD)  where (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence,the sum of the length of the diagonals is greater than the half of the perimeter of this quadrilateral.

Now consider a triangle ABC  as given in figure (2)

As we now,the sum of two sides of a triangle is greater than twice the median bisecting the third side.

Therefore AB+BC>2BE

Similarly,

AB+AC>2AD

BC+AC>2CF

By adding all these we get ,

2(AB+BC+CA)>2(AD+CF)

⇒AB+BC+CA>AD+CF

Hence, the sum of the lengths of the three medians in a triangle is smaller than the perimeter of the triangle.

The answer would be 6. The number line which shows you the number 6 or any solution for 6 would be your answer.

ANSWER

The correct answer is option B

EXPLANATION

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

[tex](x,y)\rightarrow (-x,y)[/tex]

[tex]P(1,4)\rightarrow P'(-1,4)[/tex]

[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]

[tex]R(-2,1)\rightarrow R'(2,2)[/tex]

That is to say the x-coordinates are negated. Hence y-axis is the mirror line.

Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.

See graph in attachment.

Answer:

b

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

5 times -3 is -15

absolute value of -12 plus 4 is 8

-15 plus 8 plus -1 is -8

[tex]x^2-10x+8=0\\\\x^2-10x+25-17=0\\\\(x-5)^2=17\\\\x-5=\sqrt{17} \vee x-5=-\sqrt{17}\\\\x=5+\sqrt{17} \vee x=5-\sqrt{17}[/tex]

Answer:

(x – 5)2 = 17

Step-by-step explanation:

edg