The sum of two consecutive even numbers is 38. What is the smaller number?

Answers

Answer 1

Even numbers = 2x +2

Consecutive even numbers = 2x+4

then

(2x+2) + (2x+4)= 38

2x + 2 + 2x + 4 = 38

2x + 2x + 2 + 4 = 38

    4x + 6 = 38

                   4x = 38 - 6

                     x = 32 :4

                    x = 8

2x+ 2 = 2(8)+2 = 16 + 2 = 18

2x+4 = 2(8) +4 = 16 + 4 = 20

The smallest number is 18

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Answer 2

Answer:

18 is the smaller number

Step-by-step explanation:

Let us take X for the first even number (it will also be the smallest)

x, x+1, x+2, so on..

the consecutive even number of x+2 is the next even number after x.

so you now get this equation...

x+(x+2) = 38

2x + 2 = 38

2x = 36

x=18


Related Questions

please answer this i need helppp

Answers

Answer:

D. between 5.4 cm and 6.5 cm

Step-by-step explanation:

The segment is about 6cm
and 6cm is between 5.4 and 6.5

18-(7+3)-1 simplified

Answers

Answer:

18-10-1

7

Step-by-step explanation:

please mark me as brainlest

Answer:

18-7+3-1

18-10-1

18-11

+7 or 7

Step-by-step explanation:

we have first done of bracket

then as we know minus and minus is equal to plus

then we have done our solution

thank you

Encontrar los valores de x,y,z

Answers

The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.

We have given that,

Two overlapping triangles

Here we have the angle Z and 52

What is the sum of the angle in a triangle?

The sum of the all angle in a triangle is 180 degrees.

Therefore we have

The Z+43+52+40=180

Z+125=180

Z=55

Therefore in a triangle degree 52 degrees and 40 degree

y+52+40=180

y+92=180

y=180-92

y=88 degrees

For the angle x, we have

x+15+40+52=180

x+107=180

x=180-107

x=73

The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.

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NEED HELP ASAP! ITS IN THE IMAGE BELOW.
i’ve done the graph which is part a and b but i need help in part c and d, help will be appreciated!

Answers

Answer:

(a)  see below

(b)  see attached

(c)  (15, 180) is not on the line

(d)  a = -40

Step-by-step explanation:

Given equation:

[tex]y = 10x+20[/tex]

Part (a)

To complete the table of values, simply substitute each value of x into the given equation:

[tex]x=-3 \implies y=10(-3)+20=-10[/tex]

[tex]x=-1 \implies y=10(-1)+20=10[/tex]

[tex]x=0 \implies y=10(0)+20=20[/tex]

[tex]x=1 \implies y=10(1)+20=30[/tex]

[tex]x=3 \implies y=10(3)+20=50[/tex]

[tex]\large \begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -3 & -2 & -1 & 0 & 1 & 2 & 3\\\cline{1-8} y & -10 & 0 & 10 & 20 & 30 & 40 & 50\\ \cline{1-8} \end{array}[/tex]

Part (b)

Plot 2 points from the table and draw a straight line through them.

Part (c)

To determine if (15, 180) is on the line, substitute x = 15 into the given equation of the line:

[tex]\begin{aligned} x=15 \implies y & =10(15)+20\\& = 150 + 20\\& = 170\end{aligned}[/tex]

Therefore (15, 180) is not on the line

Part (d)

If (-6, a) is on the line, substitute x = -6 and y = a into the equation and solve for a:

[tex]\begin{aligned} y & = 10x+20\\\implies a & = 10(-6)+20\\a & = -60 + 20\\a & = -40\end{aligned}[/tex]

Therefore, a = -40

allowing 16% discount on the MP of a television and leying 13% Vat buyer has pay RS 18984 to buy it . Find MP of that television​

Answers

The marked price of the television is Rs. 20,000.

What is Marked Price?

The market price is the current price at which a good or service can be purchased or sold.

Here, let the marked price of the television be Rs. x

          Discount = 16% on MP

          VAT = 13% additional on MP

          Total paid amount = Rs. 18984

Now, according to question;

     MP X (1 - Discount) X (1 + VAT) = 18984

              x (1 - 0.16)(1+0.13) = 18984

              x = 18984/(0.84 X 1.13)

              x = 18984 / 0.9492

              x = 20,000

Thus, the marked price of the television is Rs. 20,000.

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Im just very confused. This is probably easy but im lazy

Answers

Answer:

yes

Step-by-step explanation:

and yes

Answer:

The answer is 1.

Step-by-step explanation:

If you look closely at the other answers, they are not alike as 1.

(HOPE THIS HELPED!)

Kyle borrows $25000 at 6% p.a. simple interest for four years. Calculate the monthly repayment required to pay this loan off in 48 equal instalments.

Answers

Answer:

$587.13

Step-by-step explanation:

Monthly Payment Formula

[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]

where:

PMT = monthly paymentP = loan amounti = interest rate per month (in decimal form)n = term of the loan (in months)

Given:

P = $25,000i = 0.005n = 48

To calculate i, divide the interest rate per annum by 12 and convert to decimal form:

[tex]\implies \sf i=\dfrac{6\%}{12}=\dfrac{0.06}{12}=0.005[/tex]

Substitute the given values into the formula and solve for PMT:

[tex]\implies \sf PMT=\dfrac{25000 \cdot 0.005(1+0.005)^{48}}{(1+0.005)^{48}-1}[/tex]

[tex]\implies \sf PMT=\dfrac{125(1.005)^{48}}{(1.005)^{48}-1}[/tex]

[tex]\implies \sf PMT=587.1257262...[/tex]

Therefore, the monthly repayment required to pay this loan off in 48 equal installments is $587.13 (nearest cent).

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How can properties of logarithms be used to change bases into equivalent bases? (to any other flvs students, this is an essential question for 05.02 of alg 2)

Answers

Answer:

We can use change of base rule

Question 8) Identify the volume of the composite figure. Round to the nearest tenth.

asap.... math test....must show work​

Answers

Answer:

860.71m³

Step-by-step explanation:

V(cuboid) = bhd

V(cylinder) = h(pi)r²

V(shape) = cuboid - cylinder

cuboid = 10 x 10 x 12

cuboid = 1200m³

cylinder = 12(pi)3²

cylinder = 12(pi)9

cylinder = 339.292m³

shape = 1200 - 339.292

shape = 860.71m³

Answer:

860.9 -ish

Step-by-step explanation:

To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.  

First, lets find the volume of the prism.  

V=lwh  

V=10*10*12  

V=1200

Now, find the volume of the cylinder.  

V=Pie*Rsquared*h

V=3.14*3squared*12

V is about 339.12  

Now do  

1200-339.12=860.88

So it is about 860.9  

Find the midpoint of the segment with the following endpoints. (9, 8) and (3, 2)

Answers

Answer:

yoooo how you guys doing?

Calculate X+Y it in a row way 9

Answers

69! I calculated it by 69-3

Find The Distance Between4.5 And -1.4. ( i Need A Answer Right Now Pleaseeeeee!!!!!!

Answers

Answer:

5.9

Step-by-step explanation:

The distance between a point A and a point B is A-B.  (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9

Answer:

Step-by-steDistance between

(

4.5

,

4.5

)

and  

(

3.5

,

3.5

)

 is

8

2p explanation:

Hence distance between

(

4.5

,

4.5

)

and

(

3.5

,

3.5

)

is given by

(

3.5

(

4.5

)

)

2

+

(

3.5

(

4.5

)

)

2

=

8

2

+

8

2

=

64

+

64

=

128

=

8

2

×

2

=

8

2

To solve the equation -2x²-x+1=0 using the quadratic formula, what would be the value of b?
0
-2
-1
1

Answers

Answer: -1

Step-by-step explanation:

The value of b is the coefficient of x.

This is confusing please help

Answers

Step-by-step explanation:

Since we have a right triangle, we use the Pythagorean Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

or

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where a and b are the legs and c is the hypotenuse

Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.

So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula

[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]

Use graphing to determine the solution to the system of linear equations x=-1 y=3x+1

Answers

At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The system of linear equations x=-1 and y=3x+1.

The equation will be solved as:-

Y = 3x + 1

Y = 3 ( -1 ) + 1

Y = -3 + 1

Y = -2

I have also plotted the graph of the two equations in the graph the two equations intersect at the point x = 1 and y = -2 so the solution of the equations will be ( -1, -2 ).

Therefore At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.

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Look at the photo and answer the question. Please put the answer at the top of the text and don’t make it hard to find. Best answer gets brainliest.

Answers

Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.

Step-by-step explanation:

Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet

I need help asp. Identifying Geometric Figures.

Answers

Answer:

The angle created by OX and OZ is angle XOZ

The two rays that create YOX are ray OX and ray OY

The center of the circle is point O

Step-by-step explanation:

The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:

ray OX and ray OZ meet at center O to form angle XOZ.

ray OX and ray OY meet at the center O to form angel YOX.

Therefore:

The angle created by rays OX and OZ is <XOZ

The two rays that created <YOX are: OX and OY

The center of the circle is point O.

I hope this is helpful.

Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x)=2^x-5

Answers

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is:

Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)

As x approaches negative infinity, h(r) approaches negative infinity.

As x approaches positive infinity, h(t) approaches 0.

As x approaches positive Infinity, h(t) approaches positive infinity.

As x approaches negative infinity, h(a) approaches positive infinity.​

The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.

Hence, the correct option is C.

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Describe the varying vegetation regions in Canada

Answers

Answer:

es fácil solo tienes que Aser 23+578 y hay te da el resultado

Please help answer needed asap

Answers

Answer:

A

Step-by-step explanation:

a = 3n-30       solve for 'n'

a + 30 = 3n

n = (a+30)/3

n(a) = (a+30)/3

An architect is designing new housing structures for the primate section at the zoo. Her plan is shown below. Which animals will live in a building that is similar to the main primate house? A orangutans B chimpanzees C gibbons D gorillas

Answers

Answer:

A

Step-by-step explanation:

:p

A friend of yours was interested in determining whether the news media noticed campus events. Your friend decided to do a content analysis of the local paper.Your friend counted each story that mentioned his university's name. At the end of two months, 136 events had been counted. Your friend asked for your comments on his research. You told your friend:

Answers

The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

What is an inference?

The options are:

He did manifest coding.

He did latent coding.

He should have recorded the base.

He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

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You told your friend: d. he did manifest coding and he should have recorded the base.

How to determine the true statement?

The missing options are:

a. he did manifest coding.      b. he did latent coding.

c. he should have recorded the base.

d. he did manifest coding and he should have recorded the base.

e. he did latent coding and he should have recorded the base.

From the question, we understand that:

Each story is counted136 events were counted after 2 months

As a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.

Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding

Hence, the true statement is (d) he did manifest coding and he should have recorded the base.

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What type of polynomial is P(X)=1-2x^2+3x+2x^5

Answers

That is a polynomial itself because it is more than a 3 terms. This terms include an operation to be classified as “term”

I need help with this math question (Img included)

Answers

Answer: C. 5
Because (x^(2/3))(x^(3/3))=x^(5/3)

The circle graph shows the results of a survey of registered voters the day of an election.
The error given in the graph means that the actual percentage could be 2% more or 2% less than the parent reported by the survey.
What are the minimum and maximum percentages of voters who could vote Republicans? Green?
How can you use absolute value equations to represent your answers in part (a)?
One candidate receives 44% of the vote, Which party does the candidate belong to? Explain.

Answers

The minimum and maximum percentages of voters who could vote Republicans are 40% and 44% respectively, while Green are 0% and 4%

The minimum and maximum percentages of voters in Republicans? Green?

The attached circle graph represents the missing information in the question.

From the graph, we have:

Republicans = 42%

Green = 2%

The actual percentage is given as: ±2%

So, we have:

Republicans = 42% ± 2% = (40%, 44%)

Green = 2% ± 2% = (0%, 4%)

Hence, the minimum and maximum percentages of voters who could vote Republicans are 40% and 44% respectively, while Green are 0% and 4%

The absolute value equations of part (a)?

We have:

The actual percentage is given as: ±2%

Let the number of votes be on the circle graph be x and the range be y.

So, we have:

y - x = ±2%

Express as absolute value equation

|y - x| = 2%

For Republicans, we have:

|y - 42%| = 2%

For Green, we have:

|y - 2%| = 2%

Hence, the absolute value equations are |y - 42%| = 2% and |y - 2%| = 2%

The party of candidate that receives 44% vote

In (a), we have:

Republicans = 42% ± 2% = (40%, 44%)

Hence, the party of candidate that receives 44% vote is Republican

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PLEASE HELP FAST!!!

Answers

By trigonometric functions and law of cosines, the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

How to find a missing variable associated to an angle by trigonometry

In this question we have a geometric system that includes a right triangle, whose missing angle is determined by the following trigonometric function:

sin (7 · x + 4) = 12/14

7 · x + 4 = sin⁻¹ (12/14)

7 · x + 4 ≈ 58.997°

7 · x = 54.997°

x ≈ 7.856

In addition, the geometric system also includes a obtuse-angle triangle and that angle can be also found by the law of the cosine:

7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)

17/32 = cos (7 · x + 4)

7 · x + 4 = cos⁻¹ (17/32)

7 · x + 4 ≈ 57.910°

7 · x ≈ 53.910°

x ≈ 7.701

Hence, we conclude that the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

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Suppose ∠A and ∠B are complements, while ∠B and ∠C are supplements. If m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1), then m∠A=44, m∠B=46, and m∠C=134. TRUE OR FALSE? Please show your work.

Answers

Answer:

TRUE

Step-by-step explanation:

Angle <A and angle <B are complementary, which means their sum must be = 90

Angle <B and angle <C are supplementary which means their sum must be = 180

Now let's see

m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)

first find the sum of A and B

3x + 17 + 55 - x = 90 add like terms

2x + 72 = 90 subtract 72 from both sides

2x = 18 divide both sides by 2

x = 9

TRUE OR FALSE is asked for

m∠A=44, m∠B=46, and m∠C=134

to find that we just replace c with 9 with every expression given for angles

m<A = 3x + 17

m<A = 3*9 + 17 = 44

m<B =  55 - x

m<B = 55 - 9 = 46

m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.

The answer is TRUE

The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

∠A and ∠B are complements, while ∠B and ∠C are supplements.

∠A + ∠B = 90 degree

3x + 17 + 55 - x = 90

2x = 18

x = 9

Angle ∠B and angle ∠C are supplementary:

∠B + ∠C = 180

55 -x + 67(x/3  - 1) = 180

x = 9

Put the value of x and find angles A, B, and C.

m∠A = 44

m∠B = 46

m∠C = 134

∠A + ∠B = 90

∠B + ∠C = 180

The above statement is true.

Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

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Jill has c comic books. Tonya has 4 more than twice Jill's comic books. What variable expressions represents the total number of comic books Jill & Tony have all together?

Answers

Answer:

3c + 4

Step-by-step explanation:

Forming an expression

Number of books with Jill = c

To find the number of books with Tonya, multiply 'c' by 2 and then add 4 to it.

Number of books with Tonya = 2*c + 4

                                                 = 2c + 4

Total books all together = c + 2c + 4   {Combine like terms}

                                        = 3c + 4

A function is a rule thats assigns each value of the independent variable to exactly ____ value of he dependent variable.

Free response:

Answers

A function assigns the values. A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


The given statement can be completed as given below.

A function is a rule that assigns each value of the independent variable to exactly each value of the dependent variable.

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Kaye bought 7 mangoes for $49, 4 apples for $24, and 3 oranges for $15. Which fruit is very cheap in price?

Answers

Answer:

oranges

Step-by-step explanation:

Answer: The oranges.

Step-by-step explanation: I'll set up my work below.

Mangoes: $[tex]49/7=7[/tex] =$7 per mango

Apples: $[tex]24/4=6[/tex]=$6 per apple

Oranges: $[tex]15/3=5[/tex]=$5 per orange

Given this, the cheapest fruit is the orange.

I hope this helps!! Pls mark brainliest :)

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choose a quotation or short passage from the txt that supports the theme you have identified. include the page number of the quotation PLS HELP ME I WILL GIVE BRAINLIEST An object is dropped from 39 feet below the tip of the pinnacle atop a 715-ft tall building. The height of the object after seconds is given by the equation . h=16T^2+676.Find how many seconds pass before the object reaches the ground. Data are often arranged to highlight particular patterns. What other ways might you arrange the data shown in the Sample of Elements table? How tall is the tree?5ft35-20ft-[? ]ft Im going to need a serious answer through this one or Im screwed. what is 2/3 x 6/7 answer solution.5(4x + 7)-2x = ________+ 21 A company's value-creating activities can offer a competitive advantage in one of these ways. a. contribute to greater efficiency and lower costs and provide a basis for differentiation. b. contribute expense savings and enhance product exclusivity. c. reduce cost disadvantages and market price anomalies. d. contribute customer experience value and conserve operating functionality. e. contribute to competitive assets and discontinue distinctive competencies. Hamlet repeats the phrase for England! Three time in his interaction with Claudius. Based on their exchange, what can be inferred about how hamlet feels about going to England? ________, which are incurred when pursuing a related-diversification strategy, are a function of the number, size, and types of businesses that are linked to one another. What prompted Great Britain and France to declare war on Germany?A. Soviet invasion of FinlandB. German invasion of PolandC German invasion of CzechoslovakiaD. Soviet invasion of Poland proteins not expressed on normal cells but found on tumor cells are called _____. A study is published saying that eating broccoli disrupts sleep, while another study says that eating broccoli enhances sleep. Which of the following does this most resemble Describe one element of the U.S. economy's current configuration (a market-based economy with a modest level of government intervention) that you believe is one of its greatest strengths, and explain why you consider this element to be a strength. Can somebody please answer asap for brainlist and correct answer? Which is equivalent to 38* ?O x 8^3O 8 ^3/xO 8 ^x/3O 8^3x Review your reading notes, and be sure to cite evidence from the story in your response. submit your answer as a short essay response of at least four connected sentences. tan structures her essay with a specific organization that supports her purpose. what is the purpose of her essay and how does the essay's organization support the purpose? review your reading notes and be sure to cite text evidence from the essay in your response. Roberto: Quiero trabajar como voluntario el prximo verano. Julio: Yo _________ viajar por Europa.A. tengo raznB. tengo vergenzaC. tengo pensadoD. tengo cuidado PLEASE ANSWER WILL MARK BRAINLIST How does the author's use of the word "throne" inform the reader?