1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me

Answers

Answer 1

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer 2

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5


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Melany wants to hang a canvas, which is 8 feet wide, on his wall. Where on the
canvas should Melany mark the location of the hangers if the canvas requires a
hanger every 1/5 of its length, excluding the edges? Justify your answer.

Answers

The length of the canvas where Melany will mark the position of the hanger is 1.6 feet.

The given parameters:

length of the canvas = 8 feet

dimension of the hanger = [tex]\frac{1}{5} \ of \ the \ shoe's \ length[/tex]

To find:

the length of the canvas where Melany will mark the position of the hanger.

The length of the canvas where Melany will mark the position of the hanger is calculated as follows:

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Thus, the length of the canvas where Melany will mark the position of the hanger is 1.6 feet.

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what is the opposite of
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B -7 -3
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Answers

The answer to he question is C! ^^
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Kai took a trip from Stratford to Paris in 2013, and needed to exchange 500 British
pounds for euros. The exchange rate was 1 pound to 1.23 euros. How many euros did Kai
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Answers

Answer:

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Answer:

I don't understand please can you explain to me

C^-24 times c^9 times c^-87 answer using positive exponents

Answers

Answer:

1/c^102

Step-by-step explanation:

C^-24 * c^9 * c^-87

When we multiply exponents with the same base, we add the exponents

c^(-24+9+-87)

c^(-102)

We know that a^-b = 1/a^b

1/c^102

Answer:

Step-by-step explanation:

[tex]a^{m} *a^{n} = a^{m+n}\\\\\ a^{-m}=\dfrac{1}{a^{m}}\\\\\\c^{-24}*c^{9}*c^{-87}=c^{-24+9-87}\\\\=c^{-102}\\\\=\dfrac{1}{c^{102}}[/tex]

What is 7 divided by 329

Answers

Answer:

47

Step-by-step explanation:

Do long division.

7 goes into 32, 4 times.

32 - 28= 4

7 goes into 49, 7 times.

Therefore 47 is correct.

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Answers

Answer:

21x4 + 8x3 - 40x2 + 15

Step-by-step explanation:

expand using distributive property.

By rationalizing the denominator of
[tex] \frac{ \sqrt{2} }{ \sqrt{5 + \sqrt{3} } } [/tex]
Salma got the answer as:

a)
[tex] \frac{ \sqrt{2} }{ \sqrt{5 - \sqrt{3} } } [/tex]
b)
[tex] \frac{ \sqrt{2( \sqrt{5 - \sqrt{3)} } } }{2} [/tex]
c)
[tex] \frac{ \sqrt{2( \sqrt{5 + \sqrt{3}) } } }{2} [/tex]
d)
[tex] \sqrt{5 - \sqrt{3} } [/tex]

Answers

Answer:

D

Step-by-step explanation:

Find the sum Sn of the first n terms from the given sequence.
1, 1+2, 1+2+3, 1+2+3+4, ...
Please show your work and use Sigma Notation too. Thank you!​

Answers

The Sequence:

1 , 1+2 , 1+2+3 , 1+2+3+4, ...

here, every term is an AP. finding the general formula for the sum of the elements of each term is:

Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex]        [where x = number of term, a = first term and d = common difference]

here, the first term is always 1 and so is the common difference.

Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]

Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]

which is the formula for a general term in our series

now, we need to find the sum of the first n terms of this series

[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]

[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]

in this formula, for the first term, it's just an AP from x = 1 to x = n

for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]

[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

in this AP (first term), the first term and the common difference is 1 as well

[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]

[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]

[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]

[tex]\frac{n(n+1)(n+2)}{6}[/tex]

which is the sum of n terms of the given sequence

This diagram was created by starting with points A and
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Answers

The drawing instruments required for a construction, is dependent on the type of construction performed

The straightedge and the compass moves required to construct the line CD in the diagram are;

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https://brainly.com/question/157137

Answer:

Move 1: Place the compass at point A and draw circle A with center at A and radius AB

Move 2: Place the compass at any point of the circumference of circle A and label the point, at point B. Draw a second circle with the same radius AB and center at point B with the compass

Move 3: Label the point the two circles intersect as points C and D

Move 4: Place the straightedge at points C and D and construct the straight line CD

Step-by-step explanation:

Write -5i, 2, and 7 in the simplest polynomial function given the roots

Answers

Answer:

x^4-9x^3+39x^2-225x+350

Step-by-step explanation:

The simplest polynomial you can get with that roots are (x-5i)(x+5i)(x-2)(x-7)=x^4-9x^3+39x^2-225x+350

Find all y-intercepts of the following function. Express your answer as a coordinate
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Answers

Step-by-step explanation:

to find y intercept, put x to be 0

hence,y int is -36

also, to find x int put y to be 0 and factorise the equation

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Answers

Answer:

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Step-by-step explanation:

Also you only wrote down four numbers not 5 so I calculated it using those four numbers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Someone please help.

Answers

Hi there!

[tex]f(x)+f(x+1)=4f(x)[/tex]

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

1) f(x)

We're given that  [tex]f(x)=3^x[/tex]:

⇒ [tex]f(x)=3^x[/tex]:

2) f(x+1)

Now, we must find f(x+1). To do so, add 1 to x in the original function [tex]f(x)=3^x[/tex]:

⇒ [tex]f(x+1)=3^x^+^1[/tex]

3) 4f(x)

To find 4f(x), multiply the original function [tex]f(x)=3^x[/tex] by 4:

[tex]4f(x)=4*3^x[/tex]:

4) Put it all together

Now, plug each of the three parts into the equation [tex]f(x)+f(x+1)=4f(x)[/tex]:

[tex]f(x)+f(x+1)=4f(x)[/tex]

[tex]3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x[/tex]

Factor the left side

[tex]3^x*(1+3)=4*3^x[/tex]

Divide both sides by 3^x

[tex]1+3=4\\4=4[/tex]

Because this equation is true, [tex]f(x)+f(x+1)=4f(x)[/tex] is therefore true.

I hope this helps!

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Answers

There are 24 hours in a day. So, you just need to divide 600 miles/ 24 hour.
the answer is 25step-by-step explanation 600 miles ÷ 24 miles Divided the speed value by 24...Hope U like my answer and my answer helped U...

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Answers

Answer:

four lines axes of symmetry does a square have

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Answers

Answer:

1/3

a dice has 6 sides and the probability of getting 4 or 5 is just 2/6 which simplifies to 1/3

it would be a 1/3 chance

can any one solve this please....I kinda need this​

Answers

9514 1404 393

Answer:

t₂ = 2t₃ = 2

Step-by-step explanation:

The given expression says ...

  [tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]

Solving equations involving vertical angles

Given the figure below, find the values of x and z.

Answers

Answer:

[tex]x=5\\z=94[/tex]

Step-by-step explanation:

As they are vertical angles

∴[tex]7x+51=86\\=>7x=35\\x=5[/tex]

And,

∴[tex]86+86+z+z=360\\=>2z=188\\z=94[/tex]

I have added an image for your further observation

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ask me if you have any confusion.....      

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if a=3x and b = 3x-4i, find the value of a3b In fully simplified form

Answers

a×3×b
=3x×3×(3x-4i)
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Hope my answer helped u :)

Calculate the length of segment AB on the graph below.
A. Square root of 5
B. Square root of 73
C. Square root of 65
D. Square root of 90

Answers

Answer:

D

Step-by-step explanation:

Substitute the co-ordinates if a and b in the distance formula and you will get the answer as sq root of 90 which is D

Can someone help me with this??

Carlos and Pamela are going on a road trip. They are driving a total of 650 miles in three days to reach the destination. They took it easy the first day. On the second day, they drove twice as many miles as the first day. On the third day, they drove 50 miles more than the second day. How many miles did they drive each day?​

Answers

Answer:

Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.

Step-by-step explanation:

Let x be the number of miles driven on the first day.

Then they drove twice as many miles, or 2x on the second day

and 50 miles more than the second day's, so 2x + 50

The total is 650 across all three days, so we'll take the sum.

x + 2x + (2x + 50) = 650

Combine like terms on the left

5x + 50 = 650

Subtract 50 on both sides

5x = 600

Divide by 5 on both sides

x = 120

Check work:

120 + 2(120) + 2(120) + 50 = 650

120 + 240 + 240 + 50 = 650

600 + 50 = 650

650 = 650

So they drove 120 miles on the first day

2*120 = 240 miles on the second day

and 2*120 + 50 = 240 + 50 = 290 miles on the third day

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Answers

Answer:

19.6

Step-by-step explanation:

the answer to the question is 19.6

Answer:

19.6

Step-by-step explanation:

We have to do long devision:

5 goes into 9 how many times? Once. So our first number will be one.

9 - 5(1) = 4

Bring the 4 down. Then bring the 8 from 98 down.

5 goes into 48 how many times? Nine times. So our second number will be nine.

48 - 5(9) = 3

Bring the 3 down. Since there is no numbers left from 98, add a decimal and then a zero to make the number 98.0.

5 goes into 30 how many times? Six times. So our third number will be six. Don't forget to add the decimal before the six!

30 - 5(6) = 0

Pls help me in this my math exam is Tom and I wanna know how to solve theese

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

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