Solve each system using substitution or additions
(elimination).

-x+2y=-1
5x-10y=6

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

Removing the proportionality sign,

Where:

make K the subject of the equation:

From the question,

Given:

Susbtitute into equation 1

Formula:

Hence the formula of the relation is M = 8AT

If,

Substitute these values into equation 2

Hence,  the mass of the metal sheet is 960 g

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Answer:

1. given

2. inscribed circle theorem

3. substitution

4. definition of congruent angles

Answer:

try 6.93 for answer on equilqteral triangle

Answer:

[tex]q\le \:12[/tex]

Step-by-step explanation:

Solving

[tex]\mathrm{Switch\:sides}[/tex]  (Not a required step)

[tex]q+3\le \:15[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]q+3-3\le \:15-3\\=q\le \:12[/tex]

[tex]\bold{q\le \:12}[/tex]

Graphing

Answer:

-90

Step-by-step explanation:

it's right

Answer:

The first one.

Step-by-step explanation:

I took the quiz and got a 100, hope this helps :))

Answer:

The answer is A.

Step-by-step explanation:

1 plus 2x (276-5y) + 69= A.

Therefore, the solved inequality is z > -4.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

C. 9

Step-by-step explanation:

K(3)=3*3=9........................

Answer:

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

  15x +30y = 1725 . . . . . total liters of use

  x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

  y = 75 -x

This can be substituted into the first equation to give ...

  15x +30(75 -x) = 1725

  -15x + 2250 = 1725 . . . . . . simplify

  -15x = -525 . . . . . . . . . . . subtract 2250

  x = 35 . . . . . . . . . . . . . . divide by -15

  y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

Answer:

Interest rate

Step-by-step explanation:

The amount owed is called the principal and the price of borrowing money is called interest. Some people spend a day's pay (or more) per week repaying the interest and principal owed on car loans, credit card bills, student loans, and other consumer debts.

Answer:

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

Answer:

12195508,42

Step-by-step explanation:

An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.

Therefore,

Assume that each year has 52 weeks: then compounding occurs.

n = 52 × 80n

times and the rate for each compounding is

[tex]$i=\frac{5.8 \%}{52}=\frac{0.058}{52}$[/tex]

If the original deposit amount is

PV

then the future value

FV

is equal to

[tex]$$F V=P V \cdot(1+i)^n=P V \cdot\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}$$[/tex]

We know the future value (which is given as $ 102,393.44), so calculating the present value is simple:

[tex]P V=F \frac{V}{(1+i)^n}=\frac{\$ 102,393.44}{\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}}[/tex]

The simplest way to compute this is to use a calculator:

[tex]$P V \approx \$ 991.45 .$$[/tex]

We can simplify this expression with great precision just for fun. It is well known that

[tex]$\left(1+\frac{1}{n}\right)^n \rightarrow e$[/tex]

which easily implies that

[tex]$\left(1+\frac{a}{n}\right)^n \rightarrow e^a$[/tex]

Here,

[tex]$$\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}=\left(\left(1+\frac{0.058}{52}\right)^{52}\right)^{80} \approx\left(e^{0.058}\right)^{80}=e^{0.058 .80}=e^{4.64}[/tex]

That is, [tex]P V \approx F V e^{-4.64}$.[/tex]

Hence, An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.

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Answer:

62-0.75x8

Step-by-step explanation

$6=discount

8 tickets

Total=62.00

0.75 multiplied by 8= 6

62-6=56

56 is before the discount

Equation would be 62-0.75x8

The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.

The given parameters:

The speed of Raven motion is calculated as follows;

[tex]V = \frac{Distance}{Time} \\\\V = Distance\ \times \ \frac{1}{Time} \\\\V = 2\frac{2}{5} \ miles \ \ \times \ \ \frac{1}{3/5 \ hr} \\\\V = \frac{12}{5} \ miles \ \ \times \ \ \frac{5}{3 hr} \\\\V = 4 \ mph[/tex]

The distance traveled by Raven in 1 hour at the given rate is calculated as follows;

[tex]D = 4 \times 1\\\\D = 4 \ miles[/tex]

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Answer:

8 short sleeve shirts

Step-by-step explanation:

Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.

Answer:

Step-by-step explanation: there you go

For the parabola:

h(t) = -at2 + bt, the maximum occurs at -b/2a

For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.

The projectile is at its highest point at 18 seconds.

Answer:

20+h = 46

Step-by-step explanation:

it doesn't ask to solve it so that's the answer

Answer :-

• 46 is the sum of 20 and Han's savings. .

Then it says that to write the equation in this sentence .

• Use the variable h to represent Han's savings.

Keep the denominators the same and subtract the numerators. So for example in your example:

7/8 - 3/8

Leave the 8 alone. Subtract 3 from 7.

7 - 3 = 4

So answer is:

4/8

Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2

nose nilo que dise perdoooooooon xd

Answer:

a+b)(a-b)

(Step-by-step explanation:

ANSWER:

y= -1/5x - 5

Since it is parallel, that means that the slope (-1/5x) is the same.

Since it is passing through the point (-10, 3), substitute the numbers in for x and y which means: -3= -1/5*(-10) + b

b stands for the new y-intercept

do the equation, and you should get the answer above!

Answer:

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an inte...

A function is an expression that defines a relationship between an independent variable and a dependent variable.

The number of bacteria colonies after 2 hours is 220.

It is an expression that defines a relationship between an independent variable and a dependent variable.

We have,

P(t) = 4t² + 27t + 150

Where t = time

P(t) = population of a slowly growing bacteria colony after a particular time

The growth rate after 2 hours:

P(2) = 4 x (2)² + 27 x 2 + 150

P (2) = 16 + 54 + 150

P (2) = 220

Thus the number of bacteria colonies after 2 hours is 220.

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Answer:

11

Step-by-step explanation:

11*2=22

29-7 =22

Answer:

11

Step-by-step explanation:

Let x be your number

Is means equals

2x = 29-7

2x= 22

2x/2 = 22/2

x =11