Find the 2nd of three consecutive positive even integers such that the product o the second and third integers is twenty more than ten times the first integer.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Let the three consecutive positive even integers be x-1, x and x+1

First = x-1

Second = x

Third  = x+1

If the product of the second and third integers is twenty more than ten times the first integer, then;

x(x+1) = 20 + 10(x-1)

Open the bracket

x² + x = 20 + 10x - 10

x² + x = 10x + 10

x² + x - 10x - 10 = 0

x² - 9x - 10 = 0

x² -10x + x - 10 = 0

x(x-10)+ 1(x-10) = 0

(x+1)(x-10) = 0

x+1 = 0 and x-10 = 0

x = -1 and 10

Hence the 2nd of three consecutive positive even integers is 10


Related Questions

72 paper clips to 63 paper clips

find the change in percent

Answers

Answer:

The number of paperclips decreased by 12.5%

Step-by-step explanation:

72-63=9

9/72 = .125 or 12.5%

Answer:

Step-by-step explanation:

To get percentage change, we use the formula:

Percentage change =

Here,

the new value is the later value of 63 and the old value is the first value of 72

Plugging in the values in the formula gives us:

Percentage change =

The percent change is 12.5% (we can also say that it is a decrease of 12.5% since negative)

Given figure is a solid made up of a cone and a hemisphere.
The total height of ther figure is 20 cm and the slant height of
the cone is V218 cm. If the centimeter measure of the radius
of the base is a multiple of 7, find the volume of the solid
figure.

Answers

Answer:

5514.67 cm³

Step-by-step explanation:

The computation of the volume of the solid  figure is shown below

Given that

The total height is 20 cm

The slant height is 218 cm

radius of the base is 7 cm

the height of the hemisphere would be equivalent to the radius i.e. 7 cm

the height of the cone is

= 20 cm - 7 cm

= 13 cm

Now the volume of the cone is

= πrl

= 3.14 × 7 × 218

= 4796 cm^3

The volume of the hemisphere is

= 2 ÷3 πr^3

= 2 ÷ 3 × 3.14 × 7^3

= 718.67 cm3

Now the volume of the solid figure is

The volume of solid= volume of cone + volume of the hemisphere

= 4796 + 718.67

= 5514.67 cm³

On Tuesday, Mario does Taco Tuesday where tacos are 5 for $7.00. If the regular price is $2.00 what is the per taco savings on taco Tuesday ? a.$1 b.$80 cents c$1.20 d.60 cents

Answers

Answer:

d. 60 cents

Step-by-step explanation:

7 divided by 5 is 1.4

2 - 1.4 = .60

D. 60 cents

Explanation:

please help me. Based on the financial record shown below, how much did Ting donate in May?

Answers

$1000 because if you add all the expenses that will be your answer

Write equivalent fractions for 2 4/5 and 2 2/3 using a common denominator.

Answers

Answer:

2 12/15 and 2 10/15

Step-by-step explanation:

4 x 3 = 12

2 x 5 = 10

Answer:

2 4/5=2 12/15

2 2/3=2 10/15

both with a common denominator of 15

hope this helps

have  a good day :)

Step-by-step explanation:

Can you please help meee

Answers

the answer should be 23+p but im not 100% sure
I think it's the second one I'm pretty sure

-2 • f(-6) -7 • g(-7) = ?​

Answers

Answer:

[tex] - 2 \times 5 - 7 \times ( - 3) = - 10 + 21 = 11[/tex]

Answer:

11

Step-by-step explanation:

-2 • f(-6) -7 • g(-7) = ?

As per graph:

f(-6) = 5g(-7) = -3

Calculation:

-2 • f(-6) -7 • g(-7) = -2(5) - 7(-3) = -10 + 21 =11

GIVING BRAINLIEST TO THE CORRECT ANSWER!!

Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white. If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both?

4. What is the probability that a puppy Marta gives away is male, brown, or both? Explain.​

Answers

Answer:

male= 1/3 brown =1/2, both 1/6

Step-by-step explanation:

there is 2 males and 6 total, simplified is 1/3. there are 3 browns and 3 whites, so simplified is 1/2 instead of 3/6. There is only one brown male, so you cannot simplify it more than 1/6.

Brainliest PLZ PLZ PLZZZZZ

Answer:

[tex]\frac{2}{3}[/tex]

We are assuming that only one puppy is given away!

Step-by-step explanation:

6 puppies in total

4/6 are female 2/6 are male

2/6 female and brown 2/6 female and white 1/6 male and brown 1/6 male and white

We want all of the male population which is 2/6 and the 2/6 of the female population that are brown added together

[tex]\frac{2}{6} + \frac{2}{6} = \frac{4}{6} = \frac{2}{3}[/tex]

The manager of an ice cream shop is considering which ice cream flavor to offer as the special flavor next month. She asks 175 people whether they like mint or strawberry ice cream. The results are in the table below. The manager wants to increase sales, so she is deciding whether to offer mint or strawberry ice cream.

Answers

Answer:

strawberry-49%-51%

Step-by-step explanation:

The manager should offer strawberry ice

cream because 49% of the

customers surveyed like mint and 51%  of the customers like strawberry

<1 and <2 are complementary angles. The measure of <1 is 54 degrees. The measure of <2 is 4x degrees. Find the value of x.

Answers

Answer:

9

Step-by-step explanation:

Complementary means they add up to 90 degrees.

54 + 4x = 90

4x = 36

x = 9

No links plz


x+1/ 3x^3 +10x^2-x-9

Answers

Answer:

You didn't tell us much on what to do, so I just guessed you wanted it simplified. If you want a different answer, please do so tell me and I'll edit my answer to fit.

Simplified: 10[tex]x^{2}[/tex] + [tex]\frac{1}{3x^{3} }[/tex] - 9

Which of the following represents the slope and y-intercept of the line?
PLEASE HELP ASAPPPPPPPPPPPPPP IM GIVING YOU MAJOR POINTSSSS

Answers

Answer:

try hard

Step-by-step explanation:

hey guys please tell me whats 40% off $800

Answers

Answer:

320

Step-by-step explanation:

800 x 0.4 = 320.

40% off &800 would come to a total of 320

find the angles of a cyclic quadrilateral ABCD in Angle A = (4x+20 )^0 , Angle B = (3x+5 )^0 , Angle C =(4y)^0 , Angle D = (7y-5)^0​

Answers

Answer:

<A = 120degrees

<B = 80degrees

<C = 60degrees

<D = 100degrees

Step-by-step explanation:

For a cyclic quadrilateral, the sum of the adjacent angle of the quadrilateral are equal, hence;

<A + <C = 180

<B + <D  = 180

Substitute the given values

4x+20+4y = 180

4x+4y =1 60

x + y = 40 ...1

Similarly;

3x+5+7y - 5 = 180

3x+7y = 180 ....2

Solving simultaneously

x + y = 40 ...1 .....* 3

3x+7y = 180 ....2 ...... *1

__________

3x + 3y = 120 ...1 .

3x+7y = 180 ....2

Subtract

3y - 7y = 120 - 180

-4y = -60

y = 15

Since x+y = 40

x + 15 = 40

x = 40 - 15

x = 25

<A = 4x+20

<A = 4(25)+20

<A = 120degrees

<C = 180 - <A

<C = 180 - 120

<C = 60degrees

<B = 3x+5

<B = 3(25)+5

<B = 80degrees

<D = 180 - <B

<D = 180 - 80

<D = 100degrees

is y^2=4x-7 a linear

Answers

Answer: it's a linear equation

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Write an equation to represent the measures of the angles

Answers

Answer:

x = 72

Step-by-step explanation:

These angles are complementary so they add up to 90:

x + 18 = 90

x = 90 - 18

x = 72

x-intercept of 5 and a y-intercept of -4.
Write this street's equation in slope intercept form.

Answers

Answer:

y = 5x -4 or you could also write y = 5x + -4

it's still the same thing.

Step-by-step explanation:

The cost of a school banquet is $95 plus $15 for each person attending .write an equation that gives total cost as a function of the number of people attending.what is the cost for 77 people

Answers

So, y = mx + b.

Identify the variables

m is for how many people is attending to the school banquet.

x is for the cost for each person attending

b is for the cost of a school banquet

m = 77, x = 15, b = 95

Now plug in the variables

y = 77(15) + 95

Solve:

77 (15) = 1155

1155 + 95 = 1250

Your answer is $1250.

(I hope this is correct)

please help to solve the question​

Answers

[tex] \: \: \: \: \: \blue{\underline{\underline{ \large{ \tt{ \red{✧A \: N \: S \: W \: E \: R}}}}}}[/tex]

[tex] \large{ \tt{✽ Step - By - Step \:Explanation}} : [/tex]

[tex] \underline{ \underline{ \large{ \tt{G \: I\: V \: E \: N}}} }: [/tex]

C.P of two mobile set = Rs 55555Profit % on selling 1 mobile = 10%Loss % on selling another mobile = 10%

[tex] \underline{ \underline{ \large{ \tt{S\: O \: L \:V \:I \: N \: G}} }}....[/tex]

[tex]\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} &  \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ &  \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } &  = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x &  = \tt{\frac{499995 - 9x}{10}} \end{array}

[/tex]

[tex] \underline{ \large{ \tt{According \: To \:Question \: (ATQ)}} }: [/tex]

[tex] \large{ \tt{ SP_{1} = SP_{2}}}[/tex]

⤏ [tex] \large{ \tt{ \frac{11}{10} x = \frac{499995 - 9x}{10}}} [/tex]

⤏ [tex] \large{ \tt{110x = 4999950 - 90x}}[/tex]

⤏ [tex] \tt{110x + 90x = 4999950}[/tex]

⤏ [tex] \large{ \tt{200x = 4999950}}[/tex]

⤏ [tex] \large{ \tt{x = \frac{4999950}{200}}} [/tex]

⤏ [tex] \large{ \tt{x = 24999.97}}[/tex]

[tex] \large{ \tt{Replacing \: Value}} : [/tex]

⤏ [tex] \large{ \tt{ SP = 2( \frac{11}{10 } \times 24999.97) = \underline{Rs \: 54999.934}}} [/tex]

[tex] \large{ \tt{CP = Rs \: 55555}}[/tex]

Since SP < CP , he / she made a loss

[tex] \large{ \tt{Loss\% = \frac{CP- SP}{CP} \times 100\% }}[/tex]

⟶ [tex] \large \tt \: \frac{55555 - 54999.934}{55555} \times 100\%[/tex]

⟶ [tex] \large{ \tt{0.99\%}}[/tex]

⟶[tex] \boxed{ \large{ \tt{1\%}}}[/tex]

Hence , Loss percent = 1%

Hope I helped ! ♕

Have a wonderful day / night ! ツ

✏[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\begin{gathered}\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} & \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ & \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } & = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x & = \tt{\frac{499995 - 9x}{10}} \end{array} \end{gathered} [/tex]

Tempestt graphs a function that has a maximum located at (-4, 2). Which could be her graph?

The first two are A,B the second picture is C,D

Answers

Answer:

Step-by-step explanation:

C

Answer:

itts c

Step-by-step explanation:

just do it

I’m trying to bring my grade up by doing some makeup work so can someone please answer this for me please

Answers

Answer:

A and B (answer #2)

Step-by-step explanation:

right triangles: c^2 = a^2 + b^2

c is the largest side

for A: c = 5, a = 3, b = 4

5^2 = 3^2 + 4^2

25 = 25, so A is a right triangle

for B, c = 13, a = 5, b = 12

13^2 = 5^2 + 12^2

169 = 169, so B is a right triangle

for C, c = 4, a = 2, b = 3

4^2 = 2^2 + 3^2

16 ≠ 13, so C is not a right triangle

So, A and B are right triangles.

ansswer ; a and b

..

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

Step-by-step explanation:

3: Answer: 115

4: Answer: 20

Answer:

3. is 115 4. is 20

Step-by-step explanation:

Help please, if you don’t know don’t say anything✨

Answers

(x-5)^2+(y+4)^2=100
hope this helps

Is the dilation an enlargement or a reduction base on the picture attached ?how can u tell ?
NEED HELP ASAP !

Answers

Answer:

Reduction

Step-by-step explanation:

Whenever you see a shape graphed where the points have ' after the letter, then that is the RESULT. So, the yellow parallelogram ABCD is the original, and the blue parallelogram A'B'C'D' is the result, which is obviously smaller than the original. So that means that it's a reduction.

I hope this made sense and helped! :)

Answer:

Step-by-step explanation:

The yellow rectangle is an enlargement of the blue one, and is a positive dilation.  The blue rectangle is shrunken from the yellow one and is a negative dilation.

Write the expression 14(x+8) one other way.

Answers

14x+112
Distributive property

Help me pls ........................
.............................

Answers

A simple sentence contains one independent clause. A compound sentence contains more than one! Put another way: a simple sentence contains a subject and a predicate, but a compound sentence contains more than one subject and more than one predicate.

Nolan rode his bicycle from his house to the store at a speed of 4.5 mph. If it took him 16 minutes to get there, how many miles is the store from Nolan's house.

Answers

Answer:

1.2mi

Step-by-step explanation:

16/60 x4.5=1.2 mi

Someone please help

Answers

I think the answer is B I hope I’m correct

what is the negative x-intercept of y=x^2-2x-3 PLEASE HELP!!​

Answers

Answer:

(-1,0)

Step-by-step explanation:

Riley took 5 tests in science. ​ ​Each test had a different score. The mean score of the tests was 90%. The median score of the tests was 85%. Based on this information, select the two statements that must be true.

A: More than half of the scores were 85% or greater.
B: More than half of the scores were 90% or greater.
C: There were no scores less than 85%
D: There were no scores less than 90%
E: At least one score was exactly 85%
F: At least one score was exactly 90%

Answers

Answer:

A: More than half of the scores were 85% or greater.

E: At least one score was exactly 85%

Step-by-step explanation:

Here the 5 test would be taken in science so 85% would be the result of one of the test

Also 85% represent the median so it means there are 2 values more and 2 values less

So there are 3 results with 85% or greater

Hence, the option A and Option E is correc

And, the rest of the options are wrong

Answer:

A and E

Step-by-step explanation:

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