Solve 7n + 2 = 4n + 17.

Answers

Answer 1

Answer:

n=5

Step-by-step explanation:

7n+2=4n+17

Subtract 2 from both sides

7n=4n+15

Subtract 4n

3n=15

Divide by 3

n=5

I hope it helps!

Answer 2

Answer:

7n+2=4n+17

7n+2−2=4n+17−2

7n=4n+15

7n−4n=4n+15−4n

3n=15

3n/3=15/3

n=5

OAmalOHopeO


Related Questions

Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.

Answers

Parameterize C by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ π. Then the line integral is

[tex]\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}[/tex]

A train travelling at 30km/hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train?​

Answers

Answer: 111.1 m

Step-by-step explanation:

(30*2)/60 = 1 km ( the tunnel length is 1 Km.)

1 Km = 1000 m.

1000/9 = 111.1 m.


32% of 300 is what number?

Answers

Answer: 96

Step-by-step explanation:

This equation helps

X / 100 = is / of

32/100 = X / 300 (cross multiplication)

32 times 300, divided by 100

= 96

Answer:

96

Step-by-step explanation:

every percent is out of hundred so (32 * 300)/100 = 96

In ΔRST, m∠R = 92° and m∠S = 71°. Which list has the sides of ΔRST in order from shortest to longest?

Answers

Answer:

RS, RT, ST

Step-by-step explanation:

We require the third angle in the triangle

∠ T = 180° - (92 + 71)° = 180° - 163° = 17°

The shortest side is opposite the smallest angle

∠ T = 17° → opposite side RS

The longest side is opposite the largest angle

∠ R = 92° → opposite side ST

Then sides from shortest to longest is

RS, RT, ST

Rewrite the expression (x2 – 3x – 18)/(x – 9) using the long division method.

Answers

Answer:

x + 3

Step-by-step explanation:

Image below

which kind of triangle is shown.
1. obtuse isosceles
2. acute equilateral
3. obtuse scalene
4. right scalene

Answers

Answer: 2, acute equilateral

Step-by-step explanation:

the image shows a triangle with all 3 sides congruent and 3 acute angles

what is the answer ,and how do you solve it .please help

Answers

Answer:

10

Step-by-step explanation:

2000/ 2x = 10

Multiply each side by 2x

2000/ 2x = 10 *2x

2000 = 20x

Divide by 20

2000/20 = 20x/20

100 = x

Take the square root of each side

sqrt(100) = sqrt(x)

10 = sqrt(x)

c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers​

Answers

Their LCM is

70

hope it helps you.

Answer:

Their L.C.M IS

70....

IT IS YOUR ANSWER

8 cm 10 cm 15 cm surface area of a rectangle​

Answers

Answer:

surface area of a square = 2 ( lb + bh + hl )

given that,

length = 8cm

breadth = 10cm

height = 15 cm

surface area = 2 ( 8* 10 + 10*15 + 15*8 )

                     = 2 ( 80 + 150 + 120 )

                     = 2 * 350

                     = 700 [tex]cm^{2}[/tex]

hope this answer helps you!!

Solve for t in terms of q, r, and s.
r = sqt
t=

Answers

Answer:

t=r/(sq)

Step-by-step explanation:

r=sqt

=> r/(sq)=t

Answer:

T= r/(sq)

Step-by-step explanation:

r= sqt

=r/(sq) =t

in a right triangle the two sides are 10 and 5. find all possible values for the third side.
hint: there are two possibilities

Answers

Answer:

1. about 11.18

2. about 8.66

Step-by-step explanation:

1. 5^2 + 10^2= 125

square root of 125 equals about 11.18

2. 10^2-5^2=75

square root of 75 equals about 8.66

A candybar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters.

Part A; what is the height of the base. show your work.

Part B; What is the approximate amount of the cardboard used to make the candybox? Explain how you got your answer. ​

Answers

26cm is the height and 30cm is breath 46 cm is answer

HELP FAST Which solution shown bellow contains an error

Answers

Answer:

B

Step-by-step explanation:

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?

a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units

Answers

Answer: 4. A base area of 16y^2 square units and height of y^2 + y + 3 units

Step-by-step explanation:

Using the distributive property; you can see that 16y^2(y^2+y+3)=

16y^4+16y^3+48y^2

Answer:

D. a base area of 16y2 square units and height of y^2 + y + 3 units

Step-by-step explanation:

Ed22

Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?​

Answers

Answer:

12

Step-by-step explanation:

The first number they will both say = L.C.M of (6,4)

=> L.C.M of (6,4) is 12

The first number they will both say is 12

solve for x. you must show all of your work to receive credit.

Answers

Answer:

x = 6

Step-by-step explanation:

The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)

5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

A factory produces wrenches. The factory wants all of its
wrenches to weigh the same, but will accept a certain level of er-
ror. The inequality below describes the error they are willing to
accept, in pounds:

Answers

Answer:

b

Step-by-step explanation:

plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

Find the height of the triangle

Answers

Answer:

The height is 12 cm

Step-by-step explanation:

Hi there!

We are given a triangle with the 3 sides marked as 15, 20, and 25 and we want to find the height of it (marked as x in the problem).

This problem can seem a bit difficult, but let's see if the triangle is a right triangle first off.  

One way to figure out if it is a right triangle is to apply the converse of the Pythagorean theorem.

Let's label the sides, where a is the shortest side, b is the second shortest side, and c is the longest side:

a=15

b=20

c=25  

Now square a and b, then add the result together. If it's the same as c squared, then the triangle is a right triangle

15²+20²=25²

225+400=625

625=625

So we can safely say that the triangle is a right triangle

This makes the problem way easier, as there are 2 ways to find the area of a right triangle:

The first way is to multiply the legs (the sides that make up the right angle) together, then divide the result by 2

The other way is to multiply the height and the hypotenuse (the side OPPOSITE to the right angle) together, and then divide the result by 2

First, we need to figure out which sides are the legs, and which side is the hypotenuse

By the triangle inequality theorem, the hypotenuse of a right triangle is the longest side, which means that the 25 cm side is the hypotenuse, and that leaves 15 cm and the 20 cm sides as the legs

So let's find the area of the triangle using the legs

A=[tex]\frac{15*20}{2}[/tex]=[tex]\frac{300}{2}[/tex]=150

So the area of the triangle is 150 cm²

However, as mentioned above, we can also find the area of the triangle by multiplying the hypotenuse by the base, then dividing the result by 2

Which means that the area is also:

A=[tex]\frac{25x}{2}[/tex] cm²

As these both equal the area of the triangle, we can set them equal to each other. This is possible via a property known as transitivity (if a=b and b=c, then a=c)

[tex]\frac{25x}{2}=150[/tex]

Multiply both sides by 2

25x=300

Divide both sides by 25

x=12 cm

So the height of the triangle is 12 cm

Hope this helps!

……………….pls and thx——————-

Answers

Answer:

14 yards shorter

Step-by-step explanation:

Use Pythagoras' Theorem

a²+b²=c²

16²+63²=4225

√4225= 65yd

The diagonal line (c) is 65 yards long

16 + 63 = 79 yd

It would be 14 yards shorter (79-65)

if you get 76% on a 50 question test how many questions did you get wrong?

Answers

Answer:

100% - 76% = 24%

24% = 0.24

0.24*50 = 12

You got 12 questions wrong.

Step-by-step explanation:

Please mark brainliest!

Number of questions that got wrong are 12 .

Given,

76% on a 50 question test.

Here,

Let total percentage value be 100%.

Then,

100% - 76% = 24%

24% questions got wrong.

Number of questions that got wrong out of 50 will be ,

24% of 50

= 0.24*50

= 12

Therefore 12 questions got wrong.

Know more about percentages,

https://brainly.com/question/23418123

#SPJ4

can somene explain this to me please?

Answers

Answer:

10/3

Step-by-step explanation:

rate of change = gradient

(17-7)/(6-3) = 10/3

basically difference of y values / difference of x values

recurring decimals to fractions and give Convert the following she answer a simplest form 0•28 when 8 is recurring​

Answers

Answer:

13/45

Step-by-step explanation:

x = .2888888888

100(x + .2888888)

100x + 28.8888

 10x + 2.88888

90x = 26

x = 26/90 = 13/45

how do we know a given number in the radical is whether rational or irrational​

Answers

number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.

Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
A
1

Answers

Answer:  [tex](x-3)^2 + (y-2)^2 = 16[/tex]

Explanation:

The center of this circle is point A(3,2). These coordinates are the (h,k) values.

The radius is r = 4

Plug those three items into the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex] to arrive at the final answer shown above.

ANSWER PLEASE
simplify 2n(n2+2n+3)-3(2n+7) and (-4n2-3n-8)+2(n+9)

Answers

Step-by-step explanation:

> 2n³+4²+6n-6n-21

2n³+4n²-21

> -4n²-3n-8+2n+18

-4n²-3n-8+2n+18

-4n²-n-8+18

-4n²-n+10

Is it the answer option D?

Answers

Answer:

D

Step-by-step explanation:

graph it

Algebra pleaseeeeeee help

Answers

Answer:

Step-by-step explanation:

Remark

I have to assume that you know calculus. It is the only way the problem can be done that I know of. If you don't, I'm not sure how you will do this.

The curve is of y  = e^(-2x) + x^2 - 3

The curve crosses the y axis when x = 0. The y value is

y = e^0 + x^2 - 3

yint = 1 + 0 - 3

yint = -2

The slope at point (0,-2) is

y' = -2e^(-2x) +2x

y' = -2 at point A

Therefore the normal will have a slope

m1 * m2 = - 1

The slope of the curve C  at A = -2

The equation of the tangent line at A = -2x - 2

Call this m1

m2 = slope of the normal

-2 * m2 = -1

m2 = 1/2

Equation of the line (l) =

y = 1/2 x  - 2

The graph is shown below. Notice the two lines actually look like they are at a 90 degree angle.

Nike is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount

Answers

Answer:

$17.5

Step-by-step explanation:

original price of shirt=$25

discount on shirt=30%

discount on shirt in $=$25*30%

discount on shirt=$7.5

cost of shirt after discount=origanl price-discount

=$25-$7.5

=$17.5

In the paper airplane shown, ABCD = EFGH, M

Answers

Answer:

it should be 90 I could be wrong

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