1. Write as a mathematical equation.
The sum of a number and 5 times the number is 42.
(n + 5). n = 42
n + 5n = 42
(n + 5). n
n + 5n

Answer:

[tex]x = 7 \: or \: x = - 7.[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 49 = 0[/tex]

Then

[tex] {x}^{2} = 49 [/tex]

So

[tex]x = 7 \: or \: x = - 7.[/tex]

Answer:

x = -7 , 7

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 49 = 0

x² - 7² = 0

(x + 7)(x -7) = 0

x + 7 = 0         ; x - 7 = 0

x = -7             ; x = 7

Answer:

the answer is c

Step-by-step explanation:

juice would be 1 variable and magazines would be another. u would put each variable next the things that they represent, so j for juice would be put with 3.25 because that's how much 1 bottle costs. The variable m would be with 8.5 because that's how much the magazines cost.

Answer:

∅=6

Step-by-step explanation:

let ∅=x

[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]

Answer: Refer to the diagram below for the answers

========================================================

Explanation:

The rules I'm using are

The opposite side is the leg furthest from the reference angle. For example, if J is the reference angle, then leg LK is the opposite side. The adjacent side would be JL for reference angle J. The opposite and adjacent swap when you swap the reference angle.

The hypotenuse is always the longest side and always opposite the largest angle (always opposite the 90 degree angle).

------------

An example calculation would be:

sin(angle) = opposite/hypotenuse

sin(J) = LK/JL

sin(J) = 30/34

sin(J) = 0.8824

I'm referring to the triangle with sides 16,30,34. The other trig ratios are handled in pretty much the same way (use the rules mentioned above).

Answer:

16

Step-by-step explanation:

f(x) = (-4 + x)^2

Let x=8

f(8) = (-4 + 8)^2

Parentheses  first

     = 4^2

Then powers

    = 16

Answer:

Step-by-step explanation:

The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.

answer:

the answer is going to be ½

Answer:

D. 2√2

Step-by-step explanation:

In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.

x = 4/√2 = 2√2

Answer:

$11,321,630

Step-by-step explanation:

We solve using Exponential growth formula

A(t) = Ao (1 + r)^t

Ao = Initial worth = $94,000

r = Growth rate = 7.3% = 0.073

t = Time in years = 2020 - 1952

= 68 years

A(t) = Current worth in 2020 = After 68 years

A(t) = 94000 × ( 1 + 0.073)^68

A(t) = 94000 × 120.44286946

A(t) = 11,321,629.729

Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

      114 + x = 180

         x = 116

Now ∠ 1 + ∠x = 180      [ straight line angles]

       ∠ 1 + 66 = 180

        ∠1 = 180 - 66 = 114°

OR

You can use the rule : Exterior angle = sum of 2  interior opposite angles.

56 + 58 = ∠1

114 = ∠1

Answer:

Step-by-step explanation:

Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:

[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:

1.61x = 124.95 so

x = 78 m

Answer:

620

Step-by-step explanation:

12-1=11

11x50

1x70

add the two totals and you should get 620

Hope this helps!

Answer:

A. 3 * 10^4

Step-by-step explanation:

9 * 10^7

3 * 10^3

9 is 3 times 3, so there is 3

10^7 is 10^4 times 10^3, so there is 10^4

So it is 3 * 10^4

Answer:

2^-6 is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{64}[/tex]

=[tex]\frac{1}{2^6}[/tex]

according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.

=[tex]2^{-6}[/tex]

Answer:

if the formela right

so this is the answer

Answer:

Width of the box = 2 inches

Step-by-step explanation:

Volume of a box = length × width × height

Volume of the box = 240 cubic inches

Length of the box = (x + 8) inches

Width of the box = x inches

Height of the box = 12 inches

Volume of a box = length × width × height

240 = (x + 8) * x * 12

240 = (x² + 8x) * 12

240 = 12x² + 96x

12x² + 96x - 240 = 0

x² + 8x - 20 = 0

Solve quadratic equation using factorization method

x² + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x + 10) (x - 2) = 0

x + 10 = 0 OR x - 2 = 0

x = -10 OR x = 2

Width of the box can not be a negative value

Therefore,

Width of the box = 2 inches

Answer:

It's Option A. the more detailed answer is in you other, exact same, question.

note that others only get half of the points you pay. the are split between two answers

Answer:

B. (1,4)

Step-by-step explanation:

If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Given:

Sam left Malaysia at 12 pm local time.

The flight time was 12 hours.

Malaysia is 7 hours ahead of UK.

To find:

The local time in UK when he arrived.

Solution:

It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.

12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.

Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.

12 am is midnight. So, 7 hours before 12 am is 5 pm.

12 am - 7 hours = 5 pm

Therefore, the local time in UK when he arrived is 5 pm.

Answer:

B.

Step-by-step explanation:

-y = -3x + 4

y = 3x - 4

slope 3 y-intercept 4

Answer:

expand the distance between the nearest two integers on your numberline. so, you can find many rational numbers such as fractions between them.

Answer: In representation of rational numbers on the number line are discussed here. We know how to represent integers on the number line.To represent the integers on the number line, we need to draw a line and take a point O on it. Call it 0 (zero).

Set of equal distances on the right as well as on the left of O. Such a distance is known as a unit length. Let A, B, C, D, etc. be the points of division on the right of 'O' and A',B', C', D', etc. be the points of division on the left of 'O'. If we take OA = 1 unit, then clearly, the point A, B, C, D, etc. represent the integers 1, 2, 3, 4, etc. respectively and the point A', B', C', D', etc. represent the integers -1, -2, -3, -4, etc. respectively.

Answer:

hope it helps...

have a great day!!

Answer:

17000+3400 =

Step-by-step explanation:

Answer:

25,160

Step-by-step explanation:

ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.

Answer:

Interest = $ 2247.00

Step-by-step explanation:

principal=$6600

Amount=$8847

time=4 years

Interest=Amount - principal

=$8847 - $ 6600

=$2247 =

=$2247.00

Answer:

let's convert the 25 yards into feets -> 75 feet of wire.

now let's subtract the alrdy used 15 ½ feet from we that

we got 59 ½ feet left

now let's just take ⅓ of this, just by dividing by 3.

since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.

59 ½ feet = 59½*12 inches = 714 feet

now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)

⅓ of 714 is just as dividing 714 by 3

= 238

the time machine needs 238 inches of wire

this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations

Answer:

surface area of the square pyramid

=(10×10)+(2×10×8)

=100+160

=260 yd²

answer is first option