Consecutive even integer word problem help please!!​​

Consecutive Even Integer Word Problem Help Please!!

Answers

Answer 1

Answer:

Width: 16 in.,  Length:  18 in.

Step-by-step explanation:

Consecute even/odd problems seem a bit weird at first.

You choose a variable to represent the first integer, say  n .  Assume it's even (no symbolic way to tell!).  If  n  is even, then the next consecutive integer is  n + 2.  You add two because you want to skip one integer.

Width:  n

Length:  n + 2

Area is length multiplied by width, so

[tex]n(n+2)=224\\\\n^2+2n=224\\\\n^2+2n-224=0\\\\(n+14)(n-16)=0\\\\n+14=0 \text{ or } n-16=0\\\\n=-14 \text{ or }n=16[/tex]

The negative solution makes no sense, so use n = 16

Width: 16

Length: 18


Related Questions

i need help which one is the following is correct formula to find slope​

Answers

Answer:

a

Step-by-step explanation:

find the area of the
parallegram

Answers

Answer:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Step-by-step explanation:

hope it helps

please mark brainliest

giving brainliest

The Earth has diameter of 7,917.5 miles. What is the distance a plane would have to fly if it could fly around the entire equator? USE 3.14 for π and ROUND to the nearest HUNDREDTH.

Answers

Answer:

distance or circumference= 2πr

2× 3.14× 3958.75

nb I got the radius by dividing the diameter by two

= 24,869.95

to hundreth = 24900

(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.

Answers

Answer:

Step-by-step explanation:

please help it’s a timed test. i’ll mark u branliest. find the measure of each lettered angle

Answers

Answer:

d = 162

a = 18

e = 144

g = 78

b = 18

s = 162

h = 84

e = 81

Step-by-step explanation:

Trust

What are the zeros of the quadratic function?
y = x^2 - 2x - 15

Answers

Answer:

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]-> 0=2x^2-2x-15[/tex]

-zeros means the solution aka x intercept, meaning y=0

[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]

=> according to quadratic formula

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

where [tex]ax^2+bx+c=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]

simplify

[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]

[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]

Cannot simplify farther

What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters

Answers

Answer:

Volume = 2,143.57 mm³

Step-by-step explanation:

Given:

radius (r) = 8 mm

π = 3.14

Required:

Volume of the sphere

Solution:

Volume of the sphere = ⁴/3πr³

Plug in the values

Volume = ⁴/3 × 3.14 × 8³

= ⁴/3 × 3.14 × 512

= 6,430.72/3

Volume = 2,143.57333

Volume = 2,143.57 mm³ (nearest hundredth)

Georgia is reading at a rate of 2 pages everything 5 minutes. Which graph below shows the same unite rate?

Answers

Answer:

D

Step-by-step explanation:

Answer:

I can't see it bc it's not close enough but since it's (2,5) D should be right. If it's not right, then sorry ;-;

f(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)

Answers

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

-10x – 2y = -30
3x + 2y = 9
X=

Answers

Answer: x = 3

Step-by-step explanation:

-10x - 2y = -30

3x + 2y =9

use elimination method...

-2y and 2y = 0

-10x = - 30

3x = 9

add together...

-7x = -21

solve...

x= 3

The volume of Pyramid A is 704 cm3 and the volume of Pyramid B is 297 cm3. If the pyramids are similar and the surface area of Pyramid B is 153 cm2, what is the the surface area of Pyramid A?

Answers

Answer:

272 cm²

Step-by-step explanation:

Step 1

We have to find the scale factor

When given the volume of two solids, the formula for the scale factor is

V1/V2 = (Scale factor)³

The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³

V1 = Pyramid A

V2 = Pyramid B

704/297 = (scale factor)³

We simplify the left hand side to simplest fraction

The greatest common factor of 704 and 297 = 11

704÷11/297÷11 = (scale factor)³

64/27 = (scale factor)³

We cube root both sides

cube root(scale factor)³ = cube root (64/27)

scale factor = (4/3)

Step 2

(Scale factor)² = S1/S2

S1 = Surface area of Pyramid A =?

S2 = Surface area of Pyramid B = 153 cm²

Hence,

(4/3)² = S1/153

16/9 = S1/153

Cross Multiply

S1 × 9 = 16 × 153

S1 = 16 × 153/9

S1 = 272 cm²

Therefore, the Surface Area of Pyramid A = 272 cm²

Thanks in advance for your help ​

Answers

Answer:

CA=P+2Q

Step-by-step explanation:

Consider the diagram and angle measurements shown below.
m1 = (x + 14)
m3 = (3y + 7)º
m4 = (5y - 73)
m5 = (3x - 54)
What is m2?

Answers

m2 would be (3x-54) just like m5

Grace has $15 in her bank account. She starts
saving $5 each week. Jose has $5 in his account
and is saving $10 each week. What is the slope of the line that represents Grace's bank account?

Answers

Answer:

[tex]\frac{5}{1}[/tex] or 5

Step-by-step explanation:

Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.

f(x) = 5x + 15

The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.

Enter the value that belongs in the
green box.
58
23
у
32
X
O

Answers

Answer:

[tex]cos32° = \frac{x}{23} [/tex]

cos32°=Adjacent / hypotenuse

Answer:

x

Step-by-step explanation:

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{23}[/tex]

which parent function is f(x)=|x|?

Answers

Answer: We can see that it has a parabola for its graph, so we can say that f(x) is a quadratic function. This means that f(x) has a parent function of y = x2.

Step-by-step explanation:

(Hope this helped Btw not mine)

Answer:

Absolute value parent function

Step-by-step explanation:

help me asap please

Answers

Answer:

Step-by-step explanation:

6^7/6^3

=6^7-3

=6^4

please help!! like ASAP

Answers

Answer:

A

Step-by-step explanation:

There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosing a second card that is the number 3.

Answers

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

Plz help me no links or fake I will report

Answers

Answer:

y=6x-38

Step-by-step explanation:

That's the answer for C

??????????????????????

Answers

Answer:

Multiply by -2

Step-by-step explanation:

Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,

3x - 4y = -5

5x - 2y = -6

The goal here is to cancel out the -4y.

(5x - 2y)(-2) = (-6)(-2)

-10 + 4y = 12

3x - 4y = -5

Now it works.

The length of a side and the corresponding height of a triangle are (x+3) cm and (2x-5) cm respectively. Given that thr area of the triangle is 20 cm^2, find the value of x.

Answers

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

ei
Draw
List
UP table with
your good and
Good Stuely habits
cose Study brow
your bad Study habite
Bal Study habits
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Answers

Answer:

wha- I have no idea what your saying

10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?

Answers

Answer:1251231

Step-by-step explanation:

Angel says that raising fraction to the power of -1 is the same as finding the reciprocal of the fraction do you agree

Answers

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

What are m∠1 and m∠2?

Answers

Answer:

Not enough information

A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
pressure of the gas be if the volume is decreased to 5 L?

Answers

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]



Find the height of the cone. Round to the nearest
hundredths if necessary

Answers

Answer:

height of cone is 1.5 2 feet

hope it helps.

Find the rate percent per annum at which birr 380 earns birr 128.25 in 7 years and 6 months?​

Answers

Answer:

A = $4,035.13

Step-by-step explanation:

Given: 380 earns, 128.25 in 7 years and 6 months

To find: The rate percent per annum

Formula: [tex]A = P(1 + rt)[/tex]

Solution: I = A - P = $3,655.13

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 128.25%/100 = 1.2825 per year.

Solving our equation:

A = 380(1 + (1.2825 × 7.5)) = 4035.125

A = $4,035.13

The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.

Stressed out just help

Answers

Volume=Area of base×Height

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

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