A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.

Let the previous weight be 5x.

[tex]\small\bold\pink{ →}\small\bold{5x = 65.7 }[/tex]

[tex]\small\bold\pink{ →}\small\bold{x =\frac{65.7}{5}}[/tex]

[tex]\small\bold\pink{ →}\small\bold{x = 13.14}[/tex]

Therefore, the reduce weight = 4 × 13.14

= 52.56 kg

Answer :- 52.56 kg

[tex]\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)[/tex]

[tex]\\ \rm\rightarrowtail -8x-4\leqslant 3x-15[/tex]

[tex]\\ \rm\rightarrowtail -11x\leqslant -11[/tex]

[tex]\\ \rm\rightarrowtail x\geqslant 1[/tex]

Answer:

x ≥ 1

Step-by-step explanation:

Given inequality :

-4(2x + 1) ≤ 3(x - 5)

Step 1 : Expand on both sides

Step 2 : Bring x terms to one side and numerical terms to the other

Step 3 : Divide by -11 on both sides

Solution

x ≥ 1

Answer:

can be constructed by taking the sides 2cm, 3cm,4cm

Answer:

7.4secs

Step-by-step explanation:

If the path of a swim team member is modeled by the equation

h(t) = -0.875t²+5.25t+14

where t is time in seconds and h is the height above the surface of the water

If she need to finish in no later than 5feet above the surface, the expression will become:

-0.875t²+5.25t+14≤5

-0.875t²+5.25t+14-5≤0

-0.875t²+5.25t+9≤0

Rewriting using fraction

-7/8t²+21/9t+9≤0

To get the time that this happens we will need to factorize the resulting expression above;

On factorising

Find the roots of the equation using the formulas

t = 3+3√105/7

t = 3+ 3(10.25)/7

t = 3 + (30.75)/7

t = 3 + 4.393

t = 7.393

t = 7.4secs

Hence this happens at t = 7.4secs

Answer:

The time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Step-by-step explanation:

You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:

5= -0.875*t²+5.25*t+14

A quadratic equation has the general form:

a*x² + b*x +c= 0

where a, b and c are known values ​​and a cannot be 0.

Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:

 -0.875*t²+5.25*t+14-5=0

  -0.875*t²+5.25*t+9=0

The roots of a quadratic equation are the values ​​of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

In this case, solving the equation is calculating the values ​​of t, that is, you find the time when the swim team member is 5 feet above the water surface.

Being a= -0.875, b=5.25 and c= 9, then

[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]

[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]

[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]

[tex]\frac{-5.25+-7.685}{-1.75}[/tex]

Then:

[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]

Solving for t1:

[tex]t1=\frac{2.435}{-1.75}[/tex]

t1= -1.39 ≅ -1.4

Solving for t2:

[tex]t2=\frac{-12.935}{-1.75}[/tex]

t2= 7.39 ≅ 7.4

Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Answer:

No

Yes

No

Yes

Step-by-step explanation:

52-38<11

53-38<11

Both of these are no because they are greater than 11

Answer:

No

Yes

No

Yes

Step-by-step explanation:

put in the values instead of w and check if it is correct

[tex]52-38=14[/tex] which is not less than 11 so no

[tex]44-38=6[/tex] which is less than 11 so yes

[tex]53-38=15[/tex] which is not less than 11 so no

[tex]48-38=10[/tex] which is less than 11 so yes

Answer:

x = 4 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

to find the solutions equate the quadratic to zero

x² - 8x + 11 = 0 ( subtract 11 from both sides )

x² - 8x = - 11

solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 11 + 16

(x - 4)² = 5 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{5}[/tex]

Answer:

girls = 20

boys = 15

Step-by-step explanation:

boys = 3/4 x  = .75x

girls = x

x + .75x = 35

1.75x = 35

x = 35/1.75

x = 20

girls = 20

boys = 3/4 * 20 = 15

boys = 15

Answer:

48 :)

Step-by-step explanation:

Answer:

11 I'm pretty sure

Step-by-step explanation:

Answer:

6(9+3)

Explanation:

Add 9 and 3 which is 9 + 3

THEN multiply by 6 which is 6(9 + 3)

I put parentheses because it's sayings to add first and then multiply!

Answer:

[tex]4y = 3x + 2 \\ [/tex]

Step-by-step explanation:

[tex]3x - 4y = - 2 \\ 3x - 4y - 3x = - 2 - 3x \\ - 4y = - 2 - 3x \\ \frac{ - 4y}{ - 1} = \frac{ - 2 - 3x}{ - 1} \\ 4y = 2 + 3x \\ 4y = 3x + 2 \\ [/tex]

Answer:

False.

Step-by-step explanation:

Think of the number 12 which is 2 * 2 * 3.

Now square 12 to 144.

144 is a perfect square since it is the square of 12.

144 = 2 * 2 * 2 * 2 * 3 * 3

What are the factors of 144?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

That is a lot more than 3 factors.

Answer:

40 x^2 y^2

Step-by-step explanation:

5×2 y (4 y x^2)

Answer:

yes

Step-by-step explanation:

5x^2y

4yx^2

Rewriting the second term

4 x^2y

We have x^2 and y in each term so they are like terms

Answer:

> twelve divided by open bracket four subtract by two multiple by three close bracket.

The required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.

Given that,
To write the expression  12 ÷ (4-2.3) in word form.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

Here,
In the expression, 12 ÷ (4-2.3)
12 is getting divided by the subtraction 2.3 from 4, this implies the division of 12 by a difference of 4 and 2.3.

Thus, the required form of expression 12 ÷ (4 - 2.3) is a division of 12 by a difference of 4 and 2.3.

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Answer:

I'm guessing you are saying 2r, t, and 2

If that is the case, then the terms are 2r, t, and 2.

Step-by-step explanation:

Terms are numbers in an equation, like terms is when you combine something that is the same variable.

Answer:

the order is 30,60,90,120

Step-by-step explanation:

its ten times 3 then u just keep adding the same amount every ten.

Answer:

It is possible.

Step-by-step explanation:

Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem

Answer:

Minimum

Need to know:

Derivative power rule: d/dx xⁿ = nxⁿ⁻¹

Derivative constant rule: d/dx c = 0

Step-by-step explanation:

A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.

If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.

Another way to determine this is through calculus.

First, we have to find the point of extremum

Find the derivative of the given equation

d/dx 4x² -  3x - 43

You can separate the terms and solve them individually

d/dx 4x² = 4(2)(x²⁻¹) = 8x

d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3

d/dx -43 = 0

y' = 8x - 3

Set y' to equal 0

8x - 3 = 0

Add 3 to both sides

8x - 3 = 0

    + 3   + 3

8x = 3

Divide both sides by 8

8x/8 = 3/8

x = 3/8

There is only one point of extremum

Now we have to test whether the equation changes from negative to positive or positive to negative

If it changes from negative to positive, that point is a minimum

If it changes from positive to negative, that point is a maximum

To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.

y' = 8(0) - 3 = -3

Now we will do the same for a number larger than 3/8. We'll use 1

y' = 8(1) - 3 = 5

Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.

Answer:

Step-by-step explanation:

- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)

6x - 8y = 12 ........ (2)

(1) ------> (2)

( 7y + 6 ) - 8y = 12

- y + 6 = 12

y = - 6 ------> (1)

- 6x + 7( - 6 ) = - 6

6x = - 42 + 6

x = - 6

( - 6 , - 6 )

Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

by the pythagorean theorem:

Answer: 13 km

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the departure time is 12:00 noon

let us calculate the time she takes to prepare herself

preparation time

shower= 30minutes

last minutes item= 30minutes

drive to airport= 1 hour= 60minutes

total time for preparation = 2 hours

2 hours before departure time is 12-2= 10:00 am

with 2 hours of preparation she needs to set the alarm by=10-2= 8:00am

Answer:

The modulus is 39

Step-by-step explanation:

Modulus of a complex number

The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:

[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]

The given complex number is z = 15 + 36i

Calculating the modulus:

[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]

[tex]|z|=\sqrt {225+1296}[/tex]

[tex]\boxed{|z|=\sqrt {1521}}[/tex]

|z|=39

The modulus is 39

Answer:

Blue

Step-by-step explanation:

I graphed it, and got the same thing.

9514 1404 393

Answer:

  7. a[n] = 3·a[n-1]; 56.7, 170.1, 510.3

  8. a[n] = 5·a[n-1]; 81.25, 406.25, 2031.25

  9. a[n] = 0.02·a[n-1]; 0.00000032, 0.0000000064, 0.000000000128

  10. a[n] = 0.3·a[n-1]; 0.0486, 0.01458, 0.004374

Step-by-step explanation:

These sequences are all geometric sequences, so terms have a common ratio. That ratio can be found by dividing the second term by the first. The next term is found by multiplying the last term by the common ratio.

__

7. ratio is 2.1/0.7 = 3. Each term is 3 times the last. The next three terms are ...

  18.9×3 = 56.7, then 170.1 and 510.3

__

8. ratio is .65/.13 = 5. Each term is 5 times the last. The next three terms are ...

  16.25×5 = 81.25, then 406.25 and 2031.25

__

9. ratio is .04/2 = .02. Each term is 0.02 times the last. The next three are ...

  0.000016×0.02 = 0.00000032 = 3.2×10^-7, then 6.4×10^-9 and 1.28×10^-10

__

10. ratio is 1.8/6 = 0.3. Each term is 0.3 times the last. The next three are ...

  0.162×0.3 = 0.0486, then 0.01458 and 0.004374

Answer:

I think its C

Step-by-step explanation:

Range means its the y axis and the graph shows -1 and 4 being the range

Answer:

216

Step-by-step explanation:

6 * 6*6 = 216 possible outcomes

The number of outcomes for a rolling of cube three times = 216 outcomes

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

When rolling a six-sided number cube three times, we can calculate the total number of outcomes by considering the number of possible outcomes for each individual roll

Now , For each roll of the number cube, there are six possible outcomes

Since we are rolling the cube three times, we need to multiply the number of outcomes for each roll together:

Number of outcomes = 6 x 6 x 6 = 216

Hence , there will be 216 possible outcomes when rolling a six-sided number cube three times

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Answer:

make sure it’s acute

Step-by-step explanation:

since when you measure 90°​ the angle has to be acute

Answer:

0.27272727272

Step-by-step explanation:

Answer:

3/11 = .272

Step-by-step explanation:

x g(x)

-2 1/36

-1 1/6

0 1

1 6

2 36

~

Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.

If his family contributes $21,000, he will have to contribute $4,050.

If Jamal has $0 in savings, the amount to save each month is $337.50.

If Jamal has $1,000 in savings, the amount to save each month is $254.17.

If Jamal has $2,000 in savings, the amount to save each month is $170.83.

= Cost per year of private university - Scholarships - Work study program

= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900

= 35,150 - 8,200 - 1,900

= $25,050

= Estimated cost - family contribution

= 25,050 - 21,000

= $4,050

The amount that Jamal should save monthly can be found as:

= (Amount to contribute - Amount already saved ) / Number of months in year

If Jamal has $0, he should save:

= (4,050 - 0) / 12

= $337.50

If Jamal has $1,000:

= (4,050 - 1,000) / 12

= $254.17

If Jamal has $2,000:
= (4,050 - 2,000) / 12

= $170.83

Find out more on the cost of college at https://brainly.com/question/9299811.

Step-by-step explanation:

This question is not complete check well