Which variable expression represents the following word phrases?

13 more than two times a number.



13-2n


2n-13


13>2n


13+2n

∠DFG and ∠JKL are complementary angles

Measure of each angle

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So,

Now replace the expressions and solve for x

Now replace x with 43 and find out each angle

Answer:

The figure is reflected over the line x = -2

Step-by-step explanation:

If you drew a vertical line at x = -2, you would see that each point is the same distance from x = -2  but on the right side.  E and E' are the same point because they are on the line x + -2.  Point D is 3 units to the left of x = -2 for D' is 3 units to the right of x = -2 and so one

The solutions of the equation are x = 15 and -20

The equation is given as

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

Rewrite properly as

|2/5x + 1| - 7 = 0

Add 7 to both sides of the equation

|2/5x + 1| = 7

Remove the absolute bracket

2/5x + 1 = 7 and 2/5x + 1 = -7

This gives

2/5x = 6 and 2/5x = -8

Multiply both sides by 5/2

x = 15 and -20

Hence, the solutions of the equation are x = 15 and -20

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Answer:

x = 15 and -20

Step-by-step explanation:

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

Answer:

x=5

Step-by-step explanation:

so after five months, the costs would equal each other.

Explanation:

You'd have to write equations for the price per month for each club.

Let x equal the number of months of membership, and y equal the total cost. Club A's is y=25x+40 and Club B's is y=30x+15.

Because we know that the prices, y, would be equal, we can set the two equations equal to each other.

25x+40=30x+15.

We can now solve for x by isolating the variable.

25x+25=30x.

25=5x.

5=x

After five months, the total cost would be the same.

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

Answer:

223.5 in²

Step-by-step explanation:

The surface area of a triangular pyramid comprises:

Area of a triangle

[tex]\sf A=\dfrac{1}{2}bh[/tex]

where:

From inspection of the diagram:

[tex]\begin{aligned}\implies \textsf{Area of the base triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 8.7\\& = \sf 5 \cdot 8.7\\& =\sf 43.5\:in^2\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Area of a side triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 12\\& = \sf 5 \cdot 12\\& =\sf 60\:in^2\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{S.A. of the triangular pyramid} & = \textsf{base triangle}+\textsf{3 side triangles}\\& = \sf 43.5 + 3(60)\\& = \sf 43.5 + 180\\& = \sf 223.5\:in^2\end{aligned}[/tex]

Therefore, the surface area of the given triangular pyramid is 223.5 in².

Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).

A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.

This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.

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In 7 days of a week, most of us do not like Monday because all the work starts again on monday after a weekend.

We need to tell the day in a week which we do not like in a week.

Sunday is the first day of a week.

In a week there will be 7 days, sunday, monday, tuesday, wednesday, thursday, friday and Saturday. In this most of the people dont like monday because after a weekend the starting would be monday where one has to start the work.

Therefore monday is a day of week which i do not like.

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Answer:

The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

Step-by-step explanation:

It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.

Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;

Furthermore, based on the given conditions, we will be formulating the following;

=> (25-22.84) / 12

=> 2.16/12

=> 216/100 × 1/12

=> 9/25 × 1/2

=> 9 / (25×2)

=> 9/50

=> 0.18 yards

Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

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Answer:

The LARGEST angle has a measure of 81°

Step-by-step explanation:

Let α be the smallest angle

     β be the second angle

     θ be the third angle.

• One (second) angle in a triangle has a measure that is three times as large as the smallest angle.

Then

β = 3α

• The measure of thethird angle is 45 degrees more than that of the smallest angle.

Then

θ = α + 45

• We know that the sum of the interior angles of a triangle add up to 180°

Then

α + β + θ = 180

Then

α + (3α) + (α + 45) = 180

Then

5α + 45 = 180

Then

5α = 135

Then

α = 27

_______________

β = 3α = 3 × 27 = 81

θ = α + 45 = 45 + 27 = 72

Conclusion :

The LARGEST angle has a measure of 81°

Answer:

A

Step-by-step explanation:

The last number represents where the line meets y-axis

Answer: I hope this helps.

Step-by-step explanation:

Answer:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Step-by-step explanation:

Answer:

by triangular inequality

Step-by-step explanation:

Answer:

Movie duration:1.5hrs

Answer:

(9c) - 4=5

Step-by-step explanation:

Product means 'The answer when you multiply' So we are working in multiplication. ( x )

9c is the multiplication.

It says 'less' which means subtracting to our answer. So we subtract 4. So far our equation is: (9c) - 4 (Brackets are needed as we are multiplying 9 by c and not multiplying 9 by c - 4)

Lastly, it says the answer must be 5 so we add that at the end. So the answer is:

(9c) - 4=5

The missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.

Let the missing ccordinate of the ordered pair be m.

According to the given question.

We have an equation 6x - 4y = 9.

Here, we have given a ordered pair (-4, ?) which satisfy the given equation 6x - 4y = 9.

Therefore, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is given by

6x - 4y = 9

⇒ 6(-4) - 4(m) = 9

⇒ -24 - 4m = 9

⇒ -4m = 9 + 24

⇒ -4m = 33

⇒ m = -33/4

Hence, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.

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Answer:

The answer to your question is 16

The amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.

Income tax is the compulsory obligation a taxpayer must remit to the IRS for each fiscal year based on the taxpayer's taxable income.

The tax rate based on the filer's tax bracket is applied to the taxable income to determine the tax payable.

Using the graduated system, of the $75,000, the first $20,550 is taxed at 10%, which gives $2,055. That leaves $54,450 in income. The next portion of the taxable income from $20,550 to $83,550 is taxed at 12%. This means $54,450 is getting taxed at 12%, which gives $6,534. The total tax due is $8,589, which averages $9,000.

Taxable income = $75,000

Tax bracket = 12%

Tax liability = $9,000 ($75,000 x 12%)

Tax Rates for married couples filing jointly are as follows:

10% tax rate for income between $0 and $20,550

12% tax rate for income between $20,551 and $83,550

22% tax rate for income between $83,551 and $178,150

24% tax rate for income between $178,151 and $340,100

32% tax rate for income between $340,101 and $431,900

35% tax rate for income between $431,901 and $647,850

37% tax rate for income of $647,851 or more

Thus, the amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.

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The Fuel efficiency rate in miles per gallon is;  104.67 MPG

Let the initial amount of gallons be x

Now, after driving for 263 miles, you have 11 gallons of gas left in your tank.

Now, you continue driving and after driving 314 miles, you have 8 gallons left. This means that number of gallons used to drive 314 miles = 11 - 8 = 3 gallons

Therefore the Fuel efficiency rate which is in miles per gallon is;

MPG = 314/3

MPG = 104.67 MPG

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Answer:

The number is -2

Step-by-step explanation:

First let's turn this into an equation

5 times a number (we'll use x) + 34 = 24

5x+34= 24

Now to start solving the problem

First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself

5x+34 = 24

     -34     -34

5x = -10

Now we just divide both sides by 5 to get rid of it entirely from the x

5x = -10

/5      /5

x = -2

Your number should be -2

We can also check by plugging -2 back into the equation for x

5 (-2) +34 = 24

-10 +34 = 24

24 = 24

Since they are both equal, -2 is really your answer

I hope this helps :)

The equation of line is y=-9x-69.

To solve this problem we need to know the concept of slope of line and equation of straight line.

Writing the standard form of line is in the form of y= mx+ c where m is the slope of line.

And we also know that the product of slope of a line perpendicular to the line is equal to -1.

Let us assume that the slope of required line is m'

So, m' × 9 = -1

  ⇒ m'= -9

Now, the equation of line will be;

   [tex](y-3)=-9(x+8)[/tex]

⇒ y-3=-9x-72

⇒ y=-9x-69    is the standard equation of line perpendicular to the given line y=9x-8.

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Answer:

7/10, 12/40, 2/20, -10

1) The intersection of sets A and B is; A ∩ B = {1, 3}

2) The complement of set A is; A' = {4, 5, 6, 9, 10}

We are given the sets;

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 3, 7, 8}

B = {1, 3, 9, 10}

1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;

A ∩ B = {1, 3}

2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;

A' = {4, 5, 6, 9, 10}

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The patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.

Given that, a doctor administers a drug to a ​34-kg ​patient, using a dosage formula of ​55mg/kg/day.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of tablets should a 34​-kg patient takes every four​ hours to be x.

Now, 55 × 34 = 1870 mg/day

For every four hours:

1870 × 1 /24 × 4 = 311.666

≈312 mg per 4 hours

So, x=312/4 × 1/300 = 78 × 0.0033

=0.26 tablet

Liquid suspension is for every 12 hours:

So, 312/12 × 1/200 = 26 × 0.005 = 0.13 mL

Hence, the patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.

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Answer:

d I'm leaning towards d

Step-by-step explanation:

a doesn't make sense B can't be because we went adding d is phrased wrong