12 years from now, I will be 4
times as old as my present age. What is my present age?

Answer:

If the student is female then the probability that the student will participate is about 67%

If the student is male the probability that they participate is about 33%

Step-by-step explanation:

It is given that 48% of the students in the school are male. That means that the remaining students in this school are (for the sack of this problem) female out 100% of students. You would subtract 48% from 100% which is 52% which is the percentage of students in the school who are female.

From this point you need to find the percentage of students who would participated in the survey. To do that you would divide the number of the type of student who did the survey by the type of student in the school. For example for the male you would divide 16% from 48% or 16 ÷ 48 which would equal to the proposed of males who would participate which is about 33% of males. You would do the same math for finding the probability of females so it would be 35 ÷ 52 which is about 67% of females.

Even though the random student is more likely to be female the chances of the gender of the student is almost 50%/50% because if you round it to the nearest tenth it would be 50.

The current yield on this bond is 6.49%.

A bond's yearly interest payment, market price, and par value must be known in order to determine the bond's current yield.

In this question, we are given that the bond pays an annual interest of $60, has a par value of $1,000, and is selling at a $75.25 discount from par value.

So, the market price of the bond is the par value minus the discount, which is \($ 1,000\) - \($75.25\) \(= $924.75.\)

To calculate the current yield, we use the formula:

Current Yield \(=\) (Annual Interest Payment / Current Market Price) x 100%

With our current values substituted, we obtain:

Current Yield \(= ($60 / $924.75) × 100%\)

Current Yield \(= 0.0649 × 100%\)

Current Yield \(= 6.49%\)%

Therefore, (B) 6.49% is the right response.

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The statement A line of symmetry divides a figure into two equal halves in all aspects is true.

A line of symmetry does indeed divide a figure into two equal halves in all aspects. When a figure has a line of symmetry, it means that if you were to fold the figure along that line, both halves would match exactly. This implies that the two halves of the figure are mirror images of each other, and they are congruent in terms of shape, size, and all other aspects.

The concept of symmetry is widely used in various fields, including mathematics, art, and design. Figures that possess symmetry often have an aesthetically pleasing and harmonious appearance.

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2/6

Step-by-step explanation:

The two points are -3/6 and 5/6. Subtract -3 - 5 and it's 2. 2/6 :)

Answer:

» Answer: The third objective

\({ \tt{h(x) = - 4x + 1}}\)

• make x the subject:

\({ \tt{h(x) - 1 = - 4x }} \\ \\ { \tt{x = \frac{h(x)}{ - 4} - \frac{1}{ - 4} }} \\ \\ { \tt{x = - \frac{h(x)}{4} + \frac{1}{4} }}\)

• Therefore, f(x):

\( { \boxed{ \boxed{ \tt{ \: \: f(x) = - \frac{1}{4}x + \frac{1}{4} \: \: }}}}\)

Answer:

Nickels=29

Dime=30

Pennies=35

Step-by-step explanation:

Nickels=$0.05

Dime=$0.10

Pennies=$0.01

Total value=$4.80

Let quantity of

Pennies=p

Nickels=n

Dimes=d

d=n+1

p=n+6

0.01 *[n + 6] + 0.05n + 0.10*[n+1] =4.80

Open parenthesis

0.01n+0.06+0.05n+0.10n+0.10=4.80

0.16n+0.16=4.80

0.16n=4.80-016

0.16n=4.64

n=29

Pennies=n+6

=29+6

=35

Dime=n+1

=29+1

=30

Answer:

3/5 or 0.6 miles per minute

Answer:

55

Step-by-step explanation:

149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55

Answer:

55

Step-by-step explanation:

i used a calculator cause IK the equation but I couldn't get the right answer

The lines having linear equation y=4x+1 and y=2x-1 intersect at the point (-1, -3).

What is a linear equation, exactly?

A linear equation is an algebraic equation of the first degree that describes a line in a two-dimensional plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope represents the rate of change of y with respect to x, while the y-intercept represents the point at which the line crosses the y-axis

Now,

To find the point of intersection between the lines y=4x+1 and y=2x-1, we can set the two equations equal to each other or we can graph these and find the intersection point.

1.

4x+1 = 2x-1

Simplifying this equation, we get:

2x = -2

x = -1

Now, we can substitute this value of x into either equation to find the corresponding value of y:

y = 4x+1 = 4(-1)+1 = -3

Therefore,

               the lines y=4x+1 and y=2x-1 intersect at the point (-1, -3).

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Prior to the Romans, who "Latinized" the entire nation and kept it united until the fifth century .

An example of a radical is the square root or nth root. Expressions with square roots are referred to as roots. There is a radical's radicand, which might be a number or word. Examples include the radicals 2y+1 and 7. The following terminology can be used to describe radicals: Radical equations are referred to as equations containing radicals. A "root expression" is the phrase that appears inside the square root. The radical representations of the numbers 2, 372, 2x+7, and 41p are shown. The expression found inside the square root is known as a "root expression." The digits 2, 372, 2x+7, and 41p serve as illustrations of radical representations.

given

Prior to the Romans, who "Latinized" the entire nation and kept it united until the fifth century,

the Etruscans in Tuscany and Umbria and the Greeks in the south.

Jews arrived in Italy during the Roman Republic and stayed there till the present.

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The sum of the expressions 2x/5 + 5/8 + x/5 - 1/4 is option b) 3x/8 + 3/8

Here we have 2x/5 + 5/8 + x/5 - 1/4

Now since we have constants as well as variables here, to add these up, we will add the constants and variables separately.

The constants are the ones with just numbers, while the variables are those terms that have the term x with them.

Hence adding up the constants will give us

5/8 - 1/4

The LCM of denominators 8, and 4 is 8

Hence, we get

5/8 - 2/8

= 3/8

Now adding the variable gives us

2x/5 + x/5

= 3x/5

Hence the sum is

3x/5 + 3/8

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Complete Question

2x/5 + 5/8 + x/5 - 1/4

a) 3x/5 + 1/8

b) 3x/5 + 3/8

c) 3x/5 + 5/8

d) 3x/5 + 7/8

It is not equal to any of the options listed: three-fifths x 1/8, three-fifths x 3/8, three-fifths x 5/8, or three-fifths x 7/8.

The expression

(2/5 * 5/8) + (1/5 * x - 1/4)

can be simplified as follows:

2/5 * 5/8 = 1/8

1/5 * x - 1/4 = (1/5 - 1/4) x = -3/20 x

So the expression becomes

1/8 + (-3/20 x) = (1/8 - 3/20 x).

This is not equal to any of the options listed: three-fifths x 1/8, three-fifths x 3/8, three-fifths x 5/8, or three-fifths x 7/8.

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Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

Please rate me brainliest

In this exercise we have to use our knowledge of finance to calculate the amount paid last week, so we have:

\(\$580\)

From the information given in the statement we have that:

Now performing the calculations of the values ​​previously informed, we have that:

\(40*10=400\\5*12=180\\400+180=580\)

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Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

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The volume of the given prism is 72 cubic centimeters

A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

From the given figure, one cube represents 1 cubic cm

From the given figure

length =6cm

width = 3cm

Height = 4cm

Determine the volume

Volume = length * width * height

Substitute the given parameters into the formula

Volume = 6cm * 3cm * 4cm

Volume = 18 * 4

Volume = 72 cubic centimeters

Hence the volume of the given prism as shown in the diagram is 72 cubic centimeters

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Answer:

-10xsquared-x+38

Step-by-step explanation:

so,

general eqn of quadratic equation is,

axsquared+bx+c=y

where,

x and y are exchanged by coordinates given in qn

1,64a-8b+c=0

2,4a-2b+c=0

or c=2b-4a

60a-6b=0

3,36a-6b+c=8

32a-4b=8

Answer: 137 degrees

Step-by-step explanation:

It's in the sentences, the angle is 137 degrees

Answer:

2y+6x=180

Step-by-step explanation:

Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.

From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.

the values of a, b, c, and x are:

\(a = 1, b = 0, c = -1.125×10^-6, x = 0.0015\)

The chemical equation for the dissociation of nitrous acid, HNO2, is:

HNO2 + H2O ⇌ H3O+ + NO2-

The acid dissociation constant, Ka, is given as Ka = [H3O+][NO2-]/[HNO2]. Since HNO2 is a weak acid, we can assume that its dissociation is small compared to its initial concentration. Therefore, we can assume that [HNO2] ≈ 0.00250 M and [NO2-] ≈ [H3O+], and substitute these values into the expression for Ka:

\(Ka = [H3O+]^2 / [HNO2]\)

\(4.5×10^-4 = [H3O+]^2 / 0.00250\)

Multiplying both sides by 0.00250, we get:

\(0.00250 × 4.5×10^-4 = [H3O+]^2\)

a = 1, b = 0, and c = -0.00250 × 4.5×10^-4 = -1.125×10^-6. Therefore, the quadratic equation is:

\(x^2 - 1.125×10^-6 = 0\)

Using the quadratic formula, we can solve for x:

\(x = [-b ± sqrt(b^2 - 4ac)] / (2a)\)

Substituting the values of a, b, and c, we get:

\(x = [0 ± sqrt(0 - 4(1)(-1.125×10^-6))] / (2(1))x = [± sqrt(4.5×10^-6)] / 2x = ± 0.0015\)

Since [H3O+] cannot be negative, the only valid solution is:

x = 0.0015

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Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

Answer:

Step-by-step explanation:

0.5 percent (calculated percentage %) of what number equals 5? Answer: 1,000.

0.5% of 1000 is 5, 1000 is the number which we required.

percentage, a relative value indicating hundredth parts of any quantity.

We need to find 0.5% of what number is 5

Let the number be x.

Convert 0.5% to decimal by dividing 0.5 with 100

Zero point five divided by hundred which gives zero point zero zero five.

0.5/100=0.005

To find 0.5% of some number we have to multiply the percentage with the number.

Now let us multiply 0.005 with x which gives the number 5.

0.005x=5

Divide both sides by 5 by division property

x=5/0.005

x=1000

0.5% of 1000 is 5, 1000 is the number which we required.

Hence, 0.5% of 1000 is 5, 1000 is the number which we required.

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20m of horizontal distance the rock traveled during its time of flight.

s= v*t . (when there is no air resistance )

where s is horizontal distance travelled by the rock

v    is horizontal speed

t  is time of flight

given v= 4m/s , t = 5s

so s = 4 m/s * 5s = 20 m

So the horizontal distance covered by the rock is 20m

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Answer:

V=πr2h

...................

Answer:

Probability is calculated as # of favorable outcomes / # of possible outcomes.

Our favorable outcomes are 1, 2, 3, 4, 5.

There are 6 total outcomes.

5/6 = 0.833

Answer:

.667

Step-by-step explanation:

There are 3 possibilities for an odd number. 1,3 and 5

For a number less than four, there are also 3 possibilities, 1,2 and 3 (Since it's not four or less)

Counting the uniquue numbers which are not repeated, you have 1,2,3,5 so the odds are 4/6 of rolling an odd or less than four number.

Since it's asking to round, I assume we need to convert to a decimal.

Decimal: .667

Percentage: 66.667%

Both answers are rounded to the thousandth.

After 8 seconds the ball height was 42 units.

It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

It is required to find how high was the ball after 8 seconds.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The orbit of the ball will be a parabola.

We know the standard form of a quadratic function:

\(\rm y=ax^2+bx+c\)      where \(\rm \\a\neq 0\)

At x = 0 and y = 10, we get:

\(\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10\)

At x = 2 and y=24, we get:

\(\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14\)....(1)

At x = 16 and y = 10, we get:

\(\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\\)....(2)

By solving equations (1) and (2), we get;

a = - 1/2, b = 8 and c = 10

Putting these values in the standard form of a quadratic function, we get:

\(\rm y = - \frac{1}{2} x^2+8x+10\\\)

Now, after 8 seconds means when x = 8, we get:

\(\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42\)

Thus, after 8 seconds the ball height was 42 units.

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Answer:

b

Step-by-step explanation:

Answer:

The answer is shown in the picture!

Step-by-step explanation:

Hope this helps! <3

Answer:

4 hours to paint all 4 of walls

Step-by-step explanation:

well is it takes her 20 minutes to paint 1/3 of a wall and there is 4 walls to 1/3 on each it would take her 20 minutes for 1/12(total of 4 walls) you would do 20x12 which is 240 then divided by 60 which is 4 so the answer is 4.

Answer:

n term=a+(n-1)r

Step-by-step explanation:

l do not understand question clearly.