1. 6x - 29 = 115
2. 3y - 1 = 29
3. 4z - 32 = 36

find x, y, and z

Answer:

$19

Step-by-step explanation:

this is the answer

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

The percent of carbon-14 released each year will be 50.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]

The percent of carbon-14 released each year will be 50.

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Answer: in real numbers the equation \displaystyle \-x+sqrt{1-x^{2}}\-=sqrt{ 2}\left(2x^{2}-1\right)\-x+sqrt1−x2\-=sqrt2(2x2− 1).

Step-by-step explanation:

Answer:

$7400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 5000 × 0.04 × 12 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 4% per year

for 12 years is $ 2,400.00.

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400 and this can be determined by using the simple interest formula.

Given :

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years.

The total amount due on a simple interest loan can be determined by using the simple interest formula which is given by the equation:

[tex]\rm I = PRT[/tex]

Given that time, T = 12 years

Rate, R = 4% = 0.04

Principal amount, P = $5000

Now, put the value of P, R, and T in the equation (1).

[tex]\rm I = 5000\times 0.04 \times 12[/tex]

I = $2400

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400.

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Answer:

Step-by-step explanation:

Use FOIL method

(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2

                     = -2x + 4 + 7x² - 14x    {Combine like terms}

                   =  7x² - 14x - 2x + 4

                   = 7x² - 16x + 4

x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)

                      = x²*7x² - 16x * x² + 4x²

                      [tex]7x^{2+2} -16x^{1+2} + 4x^{2}\\\\= 7x^{4} - 16x^{3} + 4x^{2}[/tex]

Answer: It’s -4

Step-by-step explanation:

Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

Answer:

765.437 grams

Step-by-step explanation:

as 1 ounce =28.35g

so

27ounce=28.35×27

=765.437

Converting 27 ounces into grams is: 765.437grams.

Here, we have,

given that,

we have to Convert 27 ounces into grams.

we know that,

Since 1 ounce is equal to 28.35 grams.

so, we get,

1 ounce=28.35 grams

all we need to do is to multiply 27 by 28.35 grams.

i.e. 28.35×27 =765.437

The answer will be 765.437grams.

so, we get,

as 1 ounce =28.35g

so, 27ounce=28.35×27 =765.437g

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Answer: $‭373.08‬

Step-by-step explanation:

First find out what she earned from her normal wages.

She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:

= 6.25 * 30

= $187.50

She then gets 8% of her sales as commission. Her commission is therfore:

= 8% * 2,319.75

= $‭185.58‬

Her gross pay is therefore:

= Weekly pay + Commission

= 187.50 + 185.58

= $‭373.08‬

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

[tex]\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\[/tex]

                      [tex]= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\[/tex]

Answer:

the answer is 200 mph because you take and divide the 400 miles by 20 mph

Step-by-step explanation:

Answer:

I'll give you the answer. This is system of equations, yes?

Answer:

Length, l = 10 m, breadth = 8 m

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

The area of a rectangle is given by :

A = lb

80 = lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

36 = 2(l+b)

18 = (l+b) ....(2)

We need to solve equation (1) and (2). On solving we get :

l = 10, b = 8

So, the dimensions of the shop is 10 m and 8 m.

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

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Answer:

1/32

Step-by-step explanation:

Anything to the power of 0 is 1.

1*x^-5 (negative power means the reciprocal)

1/2^5 = 1/32

1*1/32=1/32

When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.

First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.

Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.

Substituting x = 2, we have 1 / 2⁵.

Now, we can simplify the expression:

1 / 2⁵ = 1 / 32 = 0.03125

Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

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Answer:

To find the next number in the sequence, multiply the number before by 2.

By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432

Thus, the 8th term is 2,432

Answer: 4 Chocolates

Answer:

(7 ÷ x) - 1

Step-by-step explanation:

i tried, i tried

Answer:

d) centimeters

cat average height is 23-25 cm

if you would write it in meters it would be 0.23-0.25 m

in mm 230-250mm

Its just the most convinient

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

Answer:

The value of y = 7.5 and the scale factor is 2/3.

Step-by-step explanation:

To get the scale factor, let's get the ratio of 17 to 25

[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]

To check if 17 really is the 2/3 of 25.5

[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]

Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).

[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]

Answer:

=76

Step-by-step explanation:

24+(−9)(−4)+33−17

=24+36+33−17

=60+33−17

=93−17

=76

Answer:

7ab (a+b)(a-b)

Step-by-step explanation:

Answer:

its 70% of the speed they expected