Translate the following into a math expression:

three more than twelve times a number

A: (x+3) 12

B: x/3+12

C: 12x+3

D: 3x/12

Answer:

The slope would be 4.

Step-by-step explanation:

To find a slope of a line perpendicular to another line, you would find the inverse (+/-) and reciprocal (a & 1/a). So -1/4 is the slope of this line, its inverse is 1/4, and the reciprocal is 4.

Hope this helps! :)

The number of cubes for the 100th term based on the information is 10000.

It should be noted that based on the information given, for:

1 = 1 cube

2 = 4 cubes

3 = 9 cubes

Therefore, we can see that the number of cubes is the square of the appropriate number.

Therefore, for the 100th term, the number of cubes will be:

n² = 100² = 100 × 100

= 10000

The number of cubes will be 10000.

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The inequalities which represent the situations as described in the task content are as follows;

It follows from the task content that the inequalities which correctly represents the situations as described in the task content be determined.

On this note, since the time, t in minutes of a runner who qualifies for the championship must be no more than 55 minutes, it follows that t can be less or at most, equal to 55.

Also, since the yearly earnings of a student must be less than $20,000 per year, it follows that the inequality which represents the situation is;

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Answer:

3.5

Step-by-step explanation:

cross multiply

5/0.50 35/x

35 times 0.50 = 17.5

17.5/5 = 3.5

Answer:

d=125

Step-by-step explanation:

since its a vertical angles and vertical angles are congruent (the same)

The value of d would be,

⇒ d = 125 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Two parallel lines are crossed by a transversal.

Now, We have;

Angle d and 125° are vertically opposite angles.

Hence, Both are equal.

Thus, We get;

⇒ d = 125°

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -5}{2}~~~ ,~~~ \cfrac{ y +2}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(2~~,~~-5)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -5}{2}=2\implies x-5=4\implies \boxed{x=9} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +2}{2}=-5\implies y+2=-10\implies \boxed{y=-12}[/tex]

Answer:

she did better on her math quiz

Step-by-step explanation:

15/20<9/10

15/20<18/20

Simple but effective

Let me know if this helps

Answer:

B. $375,000 but I could be wrong

Step-by-step explanation:

We do:

1,505(152) = 228,760 (we are multiplying)

2,990 (46) = 137,540

We multiply 1,505 by 152 because 1,505 is the per tank-style water heater unit and we sold 152 of them.

We multiply 2,990 by 46 because 2,990 is the per tankless water heater unit and we sold 46 of them.

Now that we multiply, we add 228,760 and 137,540 together and get a total of $366,300

Since the question is asking for the closest estimate $366,300 is best option to option (B)

Answer:

102m-51

Step-by-step explanation:

2(51m-52)+53

= 102m - 104+53

102m-51

Factorize the expression:

[tex]2(51m-52)+53[/tex]

[tex]102m-104 +53[/tex]

[tex]102m-51[/tex]

[tex]51(2m-51)[/tex]

      ⬆️

Simplify the expression:        

[tex]2(51m-52)+53[/tex]

[tex]2*51m-2*52+53[/tex]

[tex]102m-2*52+53[/tex]

[tex]102m-104+53[/tex]

[tex]102m(-104+53)[/tex]

[tex]102m-51[/tex]

     ⬆️

Answer:

f(2) = -9, and f(-2) = 19

Step-by-step explanation:

Just plug it in.

If  [tex]f(x) =2x^{2} -3x+5[/tex], and you have f(2), and f(- 2), you can do, [tex]f(2) = -2(2^{2} )-3(2)+5[/tex], and [tex]f(-2)=-2(-2^{2} )-3(-2)+5[/tex].

Once you do all the math, you get f(2) = -9, and f(-2) = 19.

Answer:

−3.375

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]\boldsymbol{-\dfrac{35}{8}}[/tex]

or, in decimal
-4.375

Step-by-step explanation:

[tex]\textrm{The expression is }\rm -1\frac{1}{2}-\left(+3\frac{1}{2}\right)-\left(-5/8\right)[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\\-1\dfrac{1}{2} = -\dfrac{1\cdot 2+1}{2} = -\dfrac{3}{2}\\\\\\+3\dfrac{1}{2} = +\dfrac{3\cdot 2+1}{2} = +\dfrac{7}{2} = \dfrac{7}{2}[/tex]

[tex]\textrm{The expression is }\rm -1\frac{1}{2}-\left(+3\frac{1}{2}\right)-\left(-5/8\right)\\= -\dfrac{3}{2}-\left(\dfrac{7}{2}\right)-\dfrac{-5}{8}\\\\\\= -\dfrac{3}{2}-\dfrac{7}{2}\right)+\dfrac{5}{8}\\\\\\[/tex]

The LCM of 2 and 8 is 8

Multiply each term by 8 and divide the result by 8

We get for numerator:
[tex]8\cdot\dfrac{-3}{2} - 8\cdot \dfrac{7}{2} + 8\cdot \dfrac{5}{8}\\\\= -12 - 28 + 5 = -35\\[/tex]

Denominator is 8

So answer is
[tex]\boldsymbol{-\dfrac{35}{8}}[/tex]

In decimal that would be -4.375

Choose whichever form you like

Jake put the money in the savings account for about 17.5 years.

Simply explained, a savings account is a place where you can deposit funds and earn interest.

Most people won't pay any tax on their savings interest because it is paid tax-free. Only people with extremely big sums of savings would need to be concerned about this, which is less than 5% of us as basic-rate taxpayers can earn £1,000/year tax-free and higher-rate taxpayers £500.

The interest calculated in a savings account is compound interest:

So let us now calculate the savings rate of interest at 3.5% for the whole time

We know that

[tex]A=P(1+r)^n[/tex]

Where A is the amount , P is the principal , r is the rate and n is the time.

Substituting the values we calculate the value of x.

6400 = 3500 ( 1+0.035 )ⁿ

or, n = 17.54..

So the time required will be about 17.5 years in the savings account.

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Answer:

(7, 7)

Step-by-step explanation:

We are given the formula 7(x, y) = (x+5, y+4) for a pair of coordinates (x,y).

P is given as the coordinates: (2, 3), therefore if we substitute P into the equation, we can replace x and y in the given equation for the coordinates of P (2,3).

P is given as (2,3), so 7(P) = 7(2,3).

Using the given formula:

7(2,3) = (2+5, 3+4)

2+5 = 7, 3+4 = 7

Therefore 7(P) = (7, 7)

Hope this helped!

The domain of the given function [tex]f(x)=\frac{\sqrt[3]{1+2 x}}{2+\sqrt[13]{2 x}}[/tex] is x < -4096 or x > - 4096.

So, [tex]f(x)=\frac{\sqrt[3]{1+2 x}}{2+\sqrt[13]{2 x}}[/tex]:

Therefore, the domain of the given function is x < -4096 or x > - 4096.

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Answer:

The answer is 45points

100-5x

Step-by-step explanation:

80/5=16questions

16-7=9questions

9x5=45points

Answers and Explanation:

- Total of 80 point available.

- Each question is worth 5 points.

If he gets 7 questions wrong --> he loses 7 x 5 points = 35 points.

100 - 35 = 65 --> So, his score would be 65.

If he got x questions wrong --> he would lose 5x points.

So, his score would be 100 - 5x.

--

Have a nice day!

Answer:

-11/2

Step-by-step explanation:

The properties used to rewrite the expressions are

The expressions are given as

(8 + 4) + 12 = (4 + 8) + 12

(8 + 4) + 12 = 8 + (4 + 12)

The associative property of expression states that

(x + y) + z = x + (y + z)

This means that the properties used to rewrite the expressions are associative property

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The solution to the equation  is  mathematically given as

m=-2

This is further explained below.

Generally, the equation is  mathematically given as

[tex]\frac{m}{m+4}+\frac{1}{4-m}=\frac{m^2}{m^2-16}[/tex]

Where

The LCM of the denominators  are

m^2-16=(m+4)(m-4)

Hence

[tex](m+4)(m-4)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=(m+4)(m-4) \cdot \frac{m^2}{m^2-16} \\[/tex]

m(m-4)-4(m+4)=m^2

m^2-4 m-4 m-16=m^2

8 m=-16

m=-2

In conclusion, the solution to the equation is

m=-2

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Answer:m=-2

Step-by-step explanation:

just answered

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

a restricting is only necessary, if we need to limit the x values or the y values for various reasons.

the limit for the x values are to eliminate any values that would create an invalid or otherwise undefined result.

otherwise the inequality itself establishes a restriction already.

e.g. sqrt(x) + 3 >= 1 would need an additional restriction

x >= 0 to know we can't even try small negative x to find out verify the solution.

something like

sqrt(x² + 3) >= 1 does not need any further restrictions, because we can use any value for x, from - infinity to +infinity. and the inequality will always be valid.

also consider, that the left side can never get smaller than sqrt(3) which is larger than 1. so, really everything goes.

we could say something like

sqrt(x² + 16) >= 5

we still don't need to give any additional restrictions, but the inequality itself rules out all x that are

-3 < x < 3.

Answer:

2.52224885 x [tex]10^{13}[/tex]

Step-by-step explanation:

4.3 x 5.865695 x [tex]10^{12}[/tex]

25.2224885 x [tex]10^{12}[/tex]

2.52224885 x [tex]10^{13}[/tex]

The amount invested at 11% by $1045.31 and investment rate is -

amount invested at 13%. is $13991

amount invested at 11%.  is $7032

Let x represent the amount invested at 13%.

Let y represent the amount invested at 11%.

$21,023 is invested, part at 13 % and the rest at 11%. This means that

x + y = 21023

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 11%,

P = y

R =11%

T = 1 year

I = (x × 11 × 1)/100 = 0.11y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1045.31, it means that

0.13x - 0.11y = 1045.31 - - -- - - - - -1

Substituting x = 21023 - y into equation 1, it becomes

0.13(121023 - y) - 0.11y = 1045.31

y = 7032

x = 21023 - y = 21023-7032

x = 13991

amount invested at 13%. is $13991

amount invested at 11%.  is $7032

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Answer:

1 cup dry rice makes 4 cups of cooked rice.

Step-by-step explanation:

Comment

Assuming this is a linear relationship, the equation is

cooked rice = k * dry rice

cooked rice = k

dry rice = x

Now all you need do is find k to get the answer.

Givens

x value = 2/3 of a cup.

y value = 2 2/3 cups

k =  ?

Solution

y = k*x

2 2/3 = k * 2/3                    Change to an improper fraction

8 / 3 = k * 2/3                     Multiply both sides by 3

8 = 2k                                 Divide both sides by 2

8/2 = 2k/2

k = 4

Now for one cup of dry rice, we have

y = ?

k = 4

x = 1

y = k*x

y = 4*1

y = 4 cups

The answer should be that the relationship is linear, because it lies between 3 cups (when 3/4 cup of dry rice is used and over 5 cups when 1  abd 1/3 cuprs of dry rice are used,)

Answer:

1. adjacent

2. vertical

3. adjacent

Step-by-step explanation:

adjacent angles: angles next to each other with one common side

vertical angles: 2 non-adjacent angles formed by the intersection of 2 lines

complementary angles: two angles whose measures add to 90 deg

supplementary angles: two angles whose measures add to 180 deg

linear pair: 2 adjacent angles whose non-common side lie on a single line

Part 1

1  Adjacent

2. Vertical

3. Adjacent

4. Linear pair

5. Adjacent

6.  Linear pair

7. Vertical

8. Complementary angles

9.Supplementary angles

Part 2

10. <BGC and <CGD

11. <AGD and <CGF

12. <BGC and <CGD

13. <AGF and <AGD

14. <AGB and <BGC

15. <FGC

This term refers to angles sitting side by side, like next to each other.

This term refers to angles sitting in the face of the each other or opposite to each other.

This term refers to angles that sum up to 90 degrees.

This term refers to angles that sum up to 180 degrees. When the angles are formed by a single point of intersection in a straight line it is called Linear pair.

This term refers to a form of supplementary angles where the angles are formed from a single point of intersection. The angles formed in linear pair are adjacent to each other

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The radical of 80 can be reduced to 4√5

A radical is a symbol that represents a particular root of a number.

A radical expression is defined as any expression containing a radical (√) symbol.

Radical expression can be reduced.

We are asked to reduce the radical of 80.

Hence,

√80 = √16 × 5

where

√16 = 4

Therefore,

√80 = √16 × 5 = 4√5

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Verbal expression or sentence of algebraic expression of 9 - 6x are Six times x is substracted from nine and Nine is substracting six times x.

It is given that algebraic expressions = 9 - 6x

There are many ways to write 9 - 6x as verbal expression, but today we will learn to the given algebraic expression in two ways.

First way :

Here we can see that 6 is multiplied by x, so

we can specify 9 - 6x as

Six times x is substracted from nine.

Second way :

Nine is substracting six times x.

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Considering the given frequency table, the estimate of the mean height is of 7.5 units.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

Given a frequency table, for each interval, we consider each observation the halfway point of the interval, hence:

Hence the mean is given by:

M = (21 x 2.5 + 5 x 7.5 + 9 x 12.5 + 3 x 17.5 + 2 x 22.5)/(21 + 5 + 9 + 3 + 2) = 7.5.

Hence the estimate of the mean height is of 7.5 units.

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In a  nut store the required quantity of the cashews in the mix = x / 4 = 3 / 4 pound.
 

Here,
Cost of 1 pound of cashew = $4.00
Cost of 1 pound of peanut = $1.50
Total cost = 5.50
The average cost of per pound = 5.50 / 2 = 2.75
Now, peanut and cashews mixes,
quantity of the cashews in the mix = x / 4.00
quantity of the peanuts in the mix = x / 1.50

x/4.00 + x/1.50 = 2.75
x = 3
Now,
The required quantity of the cashews in the mix = x / 4 = 3 / 4 pound
and the mix of the peanut in the mix x / 1.50 = 3 / 1.50 = 2 pounds

Thus, The required quantity of the cashews in the mix = x / 4 = 3 / 4 pound

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