Bill flip a coin and roll a dice independent or dependent

We use the followig property of triangles:

• One side cannot be equal or greater than the sum of the other two sides

The sides of this triangle are: 11, 9 and 17.

The sum of the first two sides is: 11+9=20

The sum of the two sides is greater than the other remaining side (17).

Thus, 11, 9 and 17 do not make a triangle.

Answer:

The length of the playground = 11 yards

The width of the playground = 14 yards

Explanation:

Let the length of the playground = l yd.

The width of the playground is 3 yd longer than its length.

Therefore, the width of the playground = (l+3) yd

Area of a Rectangle = Length x Width

Substituting the given values, we have:

We then solve the equation above for l.

We factorize:

The length of the playground = 11 yards

The width of the playground = 14 yards

First, we will find the amount of money she will pay in 48 months

Since she pays $273.53 for 48 months, then

Since she paid a $2000 down payment

Then we will add 2000 to 13,129.44 to find the total amount she paid

Now, we will subtract the price of the car from it to find the finance charge

Since the price of the care is $12,785, then

She will pay $2344.44 for the total finance charge

The amount of each deposit is $210000

Compound interest is when you reinvest your income. Compound interest distinctively means "interest on interest" and is the reason so many investors are so successful.

The computation of the each deposit is shown below:

Given that

Future value be $70,000

Time period = 10 × 2 = 20

And, the rate = 9% ÷ 2 = 4.5%

Now the formula is as follows

= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1

= ($70,000 × 4.5) ÷ (1 + 0.025)²⁰⁻¹

= $315,000 ÷ 1.5

= $210000

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There are 1799 members in art club .

A linear equation has the algebraic form y=mx+b, where m is the slope and b is the y-intercept, and consists of a first-order (linear) term and a constant. When x and y are the variables, the aforementioned is sometimes referred to as a "linear equation of two variables."

Each line in the Euclidean plane is conceived of as a collection of all the answers to a linear equation with two variables. Lines represent the solutions of linear equations in the Euclidean plane. This is where the word "linear," which is used to characterize this class of equations, originates.

d-dance club

a-art club

Lets set system of equations:

d=3a

a=d-3598

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

a=3a-3598

3598=3a-a

3598=2a

a=1799

so there are 1799 members in art club .

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rock with 35% and country with 25% are the highest percentages, therefore the answer is: B

Equation of a line in slope intercept form:

m is the slope

b is the y-intercept

To find the slope use the two given points in the next formula:

Use the slope and one of the points to find the y-intercept:

Then, the equation of the line passing through the given pair of points is:

11, 8, 5, 2, -1

Option D is correct

The given arithmetic sequence is:

For the first term, substitute n = 1 into the arithmetic sequence

For the second term, substitute n = 2 into the arithmetic sequence

For the third term, substitute n = 3 into the arithmetic sequence

For the fourth term, substitute n = 4 into the arithmetic sequence

For the fifth term, substitute n = 5 into the arithmetic sequence

Therefore, the first five terms are:

11, 8, 5, 2, -1

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

Answer:

KM = √53

Step-by-step explanation:

K is at (-4, 8), and M is at (-2, 1).

KM

[tex] \sqrt{ {( - 4 - ( - 2))}^{2} + {(8 - 1)}^{2} } [/tex]

[tex] \sqrt{ {( - 2)}^{2} + {7}^{2} } = \sqrt{4 + 49} = \sqrt{53} [/tex]

SOLUTION

Let's look at the graphical solution of the pair of simultaneous equations

From the graph, we can see that the equations have at least one solution, which are 2.556, and -0.333. Hence, it is said to be consistent.

Now, since the solutions intersect only at one place, it means that it has exactly one solution. If a consistent equation has exactly one solution, it is said to be independent.

Therefore, the systems of equations are consistent and independent

Recall that the distributive for the product property states that:

Using the distributive property we get:

Simplifying the above result we get:

Answer:

Answer:

$1,021.60

Blake earn $486.50 in 1 week.

"The next week, his pay will increase by 10%"

2 weeks:

= $486.50 * 1.10(+10%)

= $535.15

Blake paid after two weeks. He got

= $486.50 + $535.10

= $1,021.60

Answer:

t= -2

Step-by-step explanation:

Hope this helps!!

Answer:

t = -2

Step-by-step explanation:

-7t - 8 = 10 + 2t

Subtract 10 from both sides

-7t - 18 = 2t

Add 7t to both sides

-18 = 9t

Divide both sides by 9

-2 = t

From the rectangle given, we see the diagonals of the rectangle bisect each other at E.

From the properties of a rectangle is that;

1) The diagonals are congruent. That is, they are equal. AC = BD

2) The diagonals bisect each other into two equal parts.

These are the two properties we will use in solving the question

Using the concept of ratio and proportion, the vendor sold 56 cups of hot cider.

The word "proportion" often denotes a portion, share, or sum that is in comparison to a whole. Two ratios are in proportion when they are equal, according to the proportional idea. When an equation or a statement to that effect is used, two ratios or fractions are equal.

A percentage is a mathematical comparison of two numbers. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Cider supplied by the street seller for value = x for 35

= x/35

The cider's ratio is 8:5,

x/35 :: 8:5,

x = [35(8)]/ 5

=56.

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Answer:

54 mph

Step-by-step explanation:

18 miles / 20 minutes = 18 miles / 1/3 hour

18 ÷ 1/3 = 18 × 3 = 54 mph

The constant speed with given distance and time is 54 miles per hour.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, you drove  18  miles in  20  minutes at a constant speed.

Here, 20 minutes =20/60 =1/3 hours

Now, Speed = Distance÷Time

Speed= 18÷1/3

Speed=54 miles per hour

Therefore, the constant speed is 54 miles per hour.

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Step 1: For solving this exercise, we need to know the speed of sound. We will calculate it this way:

Speed = Distance/Time

Replacing with the values Josh has.

Speed = 5 miles/12 seconds

Speed = 0.417 miles per second

Step 2: Now, let's calculate the distance after 7 seconds:

Using the same formula, we can find the distance, as follows:

Distance = Speed * Time

Distance = 0.417 * 7

Distance = 2.919

Distance = 3 miles (Rounding to the nearest whole number)

Step 3: Interpretation of the answer, as follows:

The lightning was 3 miles away when Josh counted 7 seconds between the next flash of lightning and thunder.

The interest rate that would be required in order for Sarah to end up with $121,000 is R=6.1%

Compound interest, often known as interest on principal and interest, is the adding of interest to the loan or deposit principal. It occurs when interest is reinvested, added to the lent capital instead of being paid out, or the borrower is required to pay it, resulting in the next period's interest being generated on the principal amount plus any accumulated interest. Finance and economics both use compound interest frequently.

compound interest allows for the accumulation of interest from prior periods.

Given that Sarah is going to invest $79,000 and leave it in an account for 7 years.

We have to assume that the interest is compounded quarterly then,

A=P[tex](1+(R/400))^{4n}[/tex]

121000=79000[tex](1+(R/400))^{28}[/tex]

(121000/79000)=[tex](1+(R/400))^{28}[/tex]

[tex](1.53)^{1/28}[/tex]= [tex](1+(R/400))[/tex]

1.0153=[tex](1+(R/400))[/tex]

0.0153=R/400

R=6.1372

R=6.1%

Therefore, the interest rate is R=6.1%

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If f(x) has a remainder of -2 when divided by x-7, f(7) is -2.

The leftover is -2 when the function f(x) is divided by x-7, according to the question.

hence the result will be -2 if we use the value x = 7 in the function.

This has the same meaning as "f(7)" because "f(7)" also means to enter "x = 7" in the function and "-2" as the response.

Therefore, if f(x) is divided by x-7 with a remainder of 2, f(7) is equal to -2.

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The mass of the petrol is 8.88 kg.

Given, Petrol has a density of 740 kg/m³.

A container holds 12 litres of petrol.

One litre is equal to 0.001 m³.

As, Density = Mass/Volume

1 litre = 0.001 m³

12 litres = 0.012 m³

Now, using the formula, we get

740 = mass/0.012

mass = 740×0.012

mass = 8.88 kg

Hence, the mass of the petrol is 8.88 kg.

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The amount spent on brother is $16, on sister is $26 and that on wife is $58.

According to the question,

We have the following information:

Mark is buying Christmas presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his wife. And Mark

has $100 to spend.

Let's take the amount spent on sister to $s.

Amount spent on brother = $(s-10)

Amount spent on wife = $(6+2s)

So, we have the following expression:

s+s-10+6+2s = 100

4s-4 = 100

4s = 104

s = 104/4

s = $26

Amount spent on brother = 26-10 = 16

Amount spent on wife = 6+2*26

Amount spent on wife = 6+52

Amount spent on wife = $58

Hence, the amount spent on brother is $16, on sister is $26 and that on wife is $58.

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Answer:

I believe the top is 50 because 50 is the b value while the bottom would be 25 because that is the ac value of the expression

Step-by-step explanation:

above

Given: A triangle ABC with sides, AB= 4cm

BC=6cm and

AC=8cm

Required: To find out the triangle's highest corner.

Explanation: Let us first draw a triangle with given sides,

From step #6, AB is congruent to CD by CPCTC or Corresponding Parts of Congruent Triangles are Congruent.

Triangles ABE and CDE are congruent by SAS postulate.

Therefore, angle B and angle D are congruent.

Note that the segment BD is a transversal line that cuts AB and CD, and angle B and angle D are alternate interior angles.

The answer is :

XY || WZ ⇒ AB || CD

with a reason of :

Parallel lines cut by a transversal form congruent alternate interior angles.

Answer:

[tex]7.3 \times 10^7[/tex]

Step-by-step explanation:

[tex]\frac{2.92 \times 10^6}{4 \times 10^{-2}} \\ \\ =\frac{2.92 \times 10^8}{4} \\ \\ =0.73 \times 10^8 \\ \\ =7.3 \times 10^7[/tex]

Answer: 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]

Using exponential function to calculate the exponential decrease, the population in 2025 is 22278

An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on. Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

We can write the function as

A = N(1 + r)⁻ˣ

Let's plug in our values and solve

A = 24597(1 + 0.02)⁻⁵

A = 22,278

The population in 2025 is 22278

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Clear y from both equations to find the slope y intercept form of the equations

Now, find the equation for the line that is perpendicular to Eq. 1 and has the same y intercept as Eq. 2

Eq. 3 is the equation for the line

Answer: [tex]x= \frac{3}{4}[/tex]

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.