Find two consecutive even integers
such that twice the larger is 14 less
than 5 times the smaller.





help me

Find Two Consecutive Even Integerssuch That Twice The Larger Is 14 Lessthan 5 Times The Smaller.help

Answers

Answer 1
You can set up a system of equations with x being the smaller number and y being the larger number. So the first equation would be 2y=5x-14 and the second equation would be x=y-2. You can solve by substitution and substitute y-2 into the x in the first equation to get 2y=5(y-2)-14. You can solve this out and it ends up simplifying to y=8. So you know the larger number is 8. So since the larger number is 8 and they are consecutive even integers, the smaller number must be 6. So the two numbers would be 6 and 8.

Related Questions

You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap

Answers

Its A. 7,200 joules.

Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.

Answers

Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?

Answers

Answer:

14.385 ounces

Step-by-step explanation:

Converting grams to ounces:

1g ----- 0.035 ounces

411g ----- ?

Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.

411g

= 0.035(411) ounces

= 14.385 ounces

Thus, the can contains 14.385 ounces of fruit.

PLEASE HELP

Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.


Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.

Answers

Answer:

Use a^2 + b^2 = c^2 and substitute

18^2 + 24^2 = c^2

Solve what we know

324 + 576 = c^2

324 + 576 = 900

Square root 900 to get C

sqrt of 900 equals 30

So, yes he can fit the baseball bat in his suitcase

347 is what in expanded form

Answers

Answer:

300+40+7

Step-by-step explanation:

Given a linear equation with a slope of - 13/4, determine the slope of a line that is perpendicular. Enter the answer as a fraction.

Answers

Answer:

4/13

Step-by-step explanation:

To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.

Answer:

4/13 should be the answer as it is the reciprocal.

Step-by-step explanation:

I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer



Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell?

Answers

Answer: Your answer is 56 fluid ounces

Step-by-step explanation: 1 cup (in the us) is equivalent to 8 fluid ounces (in the us) and 8 times 7 is 56!

Hope this helps, if not, comment below please!!!

Answer:

56 fluid ounces

Step-by-step explanation:

One cup has 8 fluid ounces and one fluid ounce is 0.13 cups.

cup * 8 = fl-oz

Solve 6y + 2x = 14 for x.

Answers


X= 7-3y

X has to be on one side

6y+2x =14
2x= 14-6y
X= 7-3y

Now we can plug that into the original equation (check)

6y + 2(7-3y)
6y+ 14-6y
14=14

X= 7-3y

Hope this helps!

The greatest comen factor of 21, 30,49

Answers

The greatest common factor for 21 is 7
For 30 is 15
49 is 7

I’m no totally sure but i think that is right

the two Marked angles are congruent yes or no will mark brainest​

Answers

Answer:

true

Step-by-step explanation:

if the vertical lines are not parallel, then the corresponding angles are not congruent.

8x + 2 = 14x - 76

8x - 14x = -76 -2

-6x = -78

x = 13

8(13) + 2 = 14(13) - 76

106 = 106---- equal

the vertical lines is a bit confusing.... they looks like not a parallel lines

There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?

Answers

Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!

If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?

3
3.2
4
4.6

Answers

Answer:

4 is the correct answer.

Step-by-step explanation:

If you're taking FLVS math then this is the right answer, I got it correct on my test.

The required measure of EF is 4. Option c is correct.

ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).

What are congruent geometry?

In congruent geometry, the shapes that are so identical. Can be coincide to themselves.

Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4

Thus, the required measure of EF is 4.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2


Use the Slope Formula to find the slope of the line with points (1,-4) and (-3,3)

Answers

Answer:

-7/4

Step-by-step explanation:

Since we have two points we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 3 - -4)/( -3 -1)

  ( 3+4) / ( -3 -1)

   7/-4

   -7/4

6.333 x 10^2



HHHEEEEELLLLLLLPPPPP!

Answers

Answer:

See Below

Step-by-step explanation:

6.333 x 10^2

10^2 = 100

since there is 2 zeros, move the decimal to the right twice.

633.3

633.2
Pls mark me as brainliest

Which point is on the line that passes through point Z and is perpendicular to line AB? (–4, 1) (1, –2 ) (2, 0) (4, 4)

Answers

Answer:

the answer is (-4,1)

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

What is the equation of this line? (shown in picture)

A. Y = -1/4x

B. Y = 4x

C. Y = -4x

D. Y = 1/4x

Answers

The answer is B. Hope this helped.

long division help :)
I’m confused

Answers

Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

how can you work with anybody annoying you white your working at home on a test?

Answers

Take a breather, you probably feel very stressed and annoyed. Move to a quieter place and try to focus. Remove any distractions near you and remember you can do it!!!

Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.

Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?

Answers

Answer:

a

    [tex]P(M  \  n \  J ) = 0.0802 [/tex]

b

  Yes

Step-by-step explanation:

From the question we are told that

    The  probability that a random  selected person of age 40  years or older  is a jogger is [tex]P(J) =  0.274[/tex]

    The  probability that a random  selected person of age 40  years or older  is a male given that he/she jogs  is  [tex]P(M |J) = 0.293[/tex]

Generally the probability that a randomly selected person age 40 years or older is male and jogs

    [tex]P(M  \  n \  J ) = P(M|J) *  P(J)[/tex]

    [tex]P(M  \  n \  J ) = 0.293 * 0.274 [/tex]

     [tex]P(M  \  n \  J ) = 0.0802 [/tex]

Generally it would  be unusual  because the probability that a randomly selected person age 40 years or older is male and jogs is  greater than 0.05[border line for statistical  significance]

   

Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!

Answers

[1]   4x - 2y + 3z = 1

[2]   x + 3y - 4z = -7

[3]   3x + y + 2z = 5

Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :

-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1

-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1

[4]   -14y + 19z = 29

-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5

-3x - 9y + 12z + 3x + y + 2z = 21 + 5

-8y + 14z = 26

[5]   -4y + 7z = 13

Add 2 [4] to -7 [5] to eliminate y :

2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)

-28y + 38z + 28y - 49z = 58 - 91

-11z = -33

z = 3

Plug this into either [4] or [5] to solve for y :

-4y + 7 (3) = 13

-4y + 21 = 13

-4y = -8

y = 2

Plug both of these solutions into either of [1], [2], or [3] to solve for x :

x + 3 (2) - 4 (3) = -7

x + 6 - 12 = -7

x = -1

A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar

Answers

Answer:

2.5

Step-by-step explanation:

If the ratio is 5:2, then you just have to divide 5 / 2.

5 / 2 = 2.5

Answer:

If 5 cups of flour= 2 cups of sugar

1 cup=1×2/5

        =2/5

Step-by-step explanation:

The cost of a pair of shoes was reduced from $60 to $45.

By what percent did the cost of the pair of shoes decrease?


A 2.5%

B 25%

C 30%

D 35%

Answers

Answer:

B. 25%

Step-by-step explanation:

25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.

The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The initial cost of a pair of shoes = $60

Final cost of a pair of shoes = $45

Change in cost = 60 - 45 = 15

The percentage change = change / initial value

Percentage = 15/60

⇒ 0.25 × 100 = 25%

Hence "The cost of a pair of shoes has been reduced by 25%".

For more about the percentage,

brainly.com/question/13450942

#SPJ5

Please include an explanation.


"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.

Answers

Answer:

a = 730.43

Step-by-step explanation:

The formula for this type of problem is [ a = kb²/c³ ].

We are given a = 171, b = 8 and c = 9.

Solve for k.

171 = k(8)²/(9)³

k = 1947.80

Solve for a since we found k using b = 9 and c = 6.

a = (1947.80)(9)²/6³

a = 730.425

Round to the nearest hundredth.

730.425 → 730.43

Best of Luck!

Answer:

730.42

Step-by-step explanation:

a varies directly with the square of b, and inversely with the cube of c.  Therefore:

a = k b² / c³

where k is the constant of proportionality.

a = 171 when b = 8 and c = 9.  So the value of k is:

171 = k (8)² / (9)³

k ≈ 1947.8

So the value of a when b = 9 and c = 6 is:

a = 1947.8 (9)² / (6)³

a ≈ 730.42

Divide. Round your answer to the nearest whole number.
5,481 - 0.605

Answers

Answer:

Step-by-step explanation:

It matters what the order is when you do the rounding.

5481 = 5500

0.605 = 1

The rounded answer is 5500 / 1 = 5500

However if you do the question and then round you get a much closer answer.

5481 ÷ 0.605 = 10712

Hello, if someone can help me with this question that would be great!

Answers

Answer:

y = -5x+0

or y = -5

because the gradient is -5 and the y intercept is 0

Is <1 and <7 supplementary

Answers

Yes

Angle 1 and angle 4 add up to 180 degrees because they are on the same straight line split into two parts, and a straight line is 180 degrees. Angle 4 and angle 7 are corresponding angles, which means they occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal. Supplementary angles mean that any two angles add up to 180 degrees. Since 4 and 7 are corresponding, 1 and 7 must be supplementary

Is 2|12 true or false

Answers

Answer:

true

Step-by-step explanation:

Because it is

2. What is the quotient if you divide 15 1/3 by 18/23​

Answers

it would be 529/27 i believe

Haley walked a total of 6 kilometers by making 2 trips to school. How many trips will Haley
have to make in all to walk a total of 18 kilometers? Solve using unit rates.

Answers

Answer: 6 trips

Step-by-step explanation:

Evaluate the distance from -4 to 8.

Answers

Answer:

12

Step-by-step explanation:

-4 + 4 = 0

0 + 8 = 8

4 + 8 = 12

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