Solving a Debra, Ravi, and Ahmad sent a total of 76 text messages during the weekend. Ahmad sent 2 times as many messages as Ravi. Debra sent 8 more messages than Ravi. How many messages did they each send?

Answer:

It would be a 2/6 chance, or a 1/3 chance.

Step-by-step explanation:

Effective Rate in Compound Interest

Given r as the nominal rate of investment and n the number of times the interest is compounded annually, the formula for the effective rate is:

We are required to find the effective rate for a rate of r=4.8% compounded semiannually. This means the value of n is 2 since there are two periods where interest is added to the principal per year.

Substituting the given values in the formula (recall r must be used as a decimal value, i.e. r=4.8/100=0.048):

Calculating:

The effective rate is 4.86%

First, we need to write our equation in standard form — the y should be on the left- hand - side and the x should be on the right- hand side.

The first step is to subtract x from both sides, doing this we get:

Now we divide both sides of the equation by 2 (this isolates the y on LHS), doing this gives us:

which can also be written as

The y-intercept is the point at which the line described by our equation intersects the y-axis. This intersection happens when x = 0; therefore, the y-intercept is

The x-intercept is the point at which the line intersects the x-axis. This happens when y =0; therefore, the x-intercept is

Now we see that the slope of the equation is -1/2 (the coefficient of x ). The y-intercept is y = 3 and the x-intercept is 6.

Answer:

no solution

Step-by-step explanation:

If you end up with a false equality, then the initial statement is false, meaning that there are no solutions.

The cheese pizza is represented by 3 rectangles while the pepperoni pizza is represented by 1 rectangle.

Therefore, the ratio of cheese to pepperoni pizza is:

3 : 1

This means that if there are 3 cheese pizzas, then there will be 1 pepperoni pizza

Therefore, since they bought 12 cheese pizzas, it means that:

CCC + CCC + CCC + CCC = 12 cheese pizzas ( where C is cheese)

P + P + P + P = 4 pepperoni pizzas ( where P is pepperoni)

Thus, they bought 4 pepperoni pizzas

1) Take into account that a linear relation can be written as follow:

y = mx + b

where m is the slope of the line and the constant b the y-coordinate of the y-intercept.

Due to Rocco started to count from a distance of 4 miles, this is a constant number, which is equivalent to b, that is, b = 4.

If the constant rate of the walk is 3 miles per 2 hours, then, m = 3/2 (because the slope is also a constant rate of change).

Then, you have the following linear equation for the relation between the distance traveled by Rocco and the time.

y = 3/2*x + 4

y is the number of miles of the Rocco walking

x is the time (in hours) he takes for the walking

2) Now, based on the previous equation, you have for the table:

3) The relation between the given variables is proportional because a change in x makes that y changes too.

The distance traveled by Rocco is given by the value of y when x = 4. As you can notice on the table, such a distance is 10 miles.

The formula to calculate the slope is

A is right

also, the slope can be calculated with rise and run

the correct formula is D.

and also apply E

the answer will be A,D and E

the answer is associative property of multiplicaction

because

A*(B*C)=(A*B)*C

The required product of the given expression [tex]5\times727[/tex] is [tex]3635[/tex].

Distributive property is defined as sum of two or more addends is multiplied by a number gives the same result by multiplying each addends separately and add the products.

For example:

[tex]a\times (b+c)=a\times b + a\times c[/tex]

Partial product is defined as the product of each digit of a number is multiplied by each digit of other number separately.

Solving the expression using Distributive property and partial products:

[tex]5 \times 727 = 5 \times ( 700 + 27 )\\[/tex]                     {∵ [tex]727=700+27[/tex]}                  

Here, Applying the distributive property we get:

            [tex]= 5 \times700 + 5 \times27\\ = 3500 + 135\\ = 3635[/tex]

Hence, the required value of the expression [tex]5\times727[/tex] is [tex]3635[/tex].

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The product of the 5×727 is 3635.

The definition of a distributive property states that when the sum of two or more addends is multiplied by a number, the results are the same whether the addends are multiplied individually or all at once. Like a×(b+c) = a × b + a × c.

The definition of a partial product is the result of multiplying each digit of one integer by each digit of the other number separately.

Given in question, 5 × 727

Using distributive property and partial product,

5 × 727 = 5 × (700 + 27)

            = 5 × 700 + 5 × 27

            = 3500 + 135

            = 3635

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Answer:

The value of x is 75;

Explanation:

From the diagram;

Reason; supplementary angles.

Solving the equation, we have;

Therefore, the value of x is 75;

a. The decision rule for this question would be to reject the null hypothesis if test statistic is less than the critical value.

b. The test statistic is given as: -3.4091

We have the null hypothesis as

h0 : μ ≥ 69

The alternate hypothesis is

H1 : μ < 69

a. The decision rule would be to reject the null if the test statistic is greater than the critical value

at α = 0.10 the degree of freedom = 36 - 1 = 35

the critical value is -1.306

The test statistic calculation

[tex]t =\frac{ x - u}{s/\sqrt{n} }[/tex]

[tex]t = \frac{64-69}{8.8/\sqrt{36} }[/tex]

t = -3.4091

The decision rule would be to Reject H0: µ ≥ 69 when the test statistic is less than -1.306.

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A parallelogram is a quadrilateral that has the following characteristics:

The opposite sides are parallel and congruent.

The opposite angles are congruent.

The consecutive angles are supplementary.

If any one of the angles is a right angle, then all the other angles will be at right angle.

The two diagonals bisect each other.

Since:

We can conclude that the answer is:

Yes; diagonals of a parallelogram bisect each other. ​

To answer this question, we need to apply the following rule:

This rule is known as the negative exponent rule. We also need to remember that when we have an exponent of 1/2 is the same as finding the square root for a number. Then, we have:

Therefore, we have:

Thus, we have that:

In summary, the correct answer is 2 (second option).

We have to identify the intervals where the function is concave upwards and where is concave downward.

We can differentiate them in a graph as:

We then have only one interval where the function is concave upwards: between x = -1 and x = 4. We can identify other intervals where the function is concave downwards and interrupted by discontinuities.

Then, we can write all the intervals as:

From the rectangle TUVW, the coordinates of the points are shown below:

T(-5, -5), U(-1, -5), V(-1, 4), and W(-5, 4)

If TUVW is translated 5 units right and 4 units up, the coordinates of the new rectangle are in the form (x+5, y+4):

T'(0, -1), U'(4, -1), V'(4, 8), and W'(0, 8)

Let x represent the cost per gallon of gasoline.

Let y or f(x) represent the cost of x gallons of gasoline.

Given that the cost per gallon is $2.79,

The function would be

f(x) = 2.79x

The domain refers to all possible values of x that can fit into the function. Given that the truck holds a maximum of 28 gallons, the maximum value of x is 28. When the truck is empty, the minimum value of x is 0. Therefore, the domain is 0 to 28

The range refers to all possibel values of y or f(x) that can satisfy the function.

When x = 0, f(x) = 2.79 * 0 = 0

When x = 28, f(x) = 2.79 * 28 = 78.12

The range would be 0 to 78.12

Domain: 0 to 28

Range: 0 t0 78.12

We have the next image

the line of reflection is the line in red

the original polygon ABCD is the one in blue

the reflected polygon A'B'C'D' is the one in green

90 represents the 100%

Let's call x to the number that represents the 40%

To find the 40%, we can use the next proportion:

Solving for x:

36 is 40% of 90

Supplementary angles add up to 180°

A+ B = 180

A is 9 times as large as B.

A = 9B

We have the system of equations:

A+ B = 180

A = 9B

Put the second equation into the first one, and solve for B

(9B)+ B = 180

10B = 180

B= 180/10

B = 18

Replace the value of B on any equation and solve for A:

A = 9B

A= 9(18)

A= 162

A= 162°

B=18°

The given triangle is a right angle triangle,

Apply the trignometry ratio of tan

From the given figure we have,

Perpendicular=x and base=72 and angle =40 degree

So the value of x is 60.41

8(11 + 2r) = 126r + 3​

first open the parenthesis

88 + 16r = 126r + 3

88 - 3 = 126r - 16 r

85 = 110r

divide both-side of the equation by 110

85/110 = r

r= 17/22

The weight of pacific halibut is 459 pounds and weight of yellowfin tuna is 387 pounds.

There is 72 pounds more is the total weight of pacific halibut than the yellowfin tuna.

The annual interest on a daily basis with 19.5%, then the finance charge due on October 14 will be $623.

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).

So, the finance charge will be;

(+) $ 562 due on sep 14, $ 562 x (19.5 x31) / (100 x 365) = $ 9.20

(+) purchase $ 283 on Sep 19, $ 283 x (19.5x26 ) / (100 x365) = $ 2.42

(+) finance charge on sep 28, $ 18 x(19.5 x17 ) / (100 x 365) = $ 0.17

(-) Repayment on 25 sep , $ 250 x (19.5 x20 ) / (100 x 365) = (2.745)

Finance charges from 14 sep to 14 oct will be $ 9.7= appr. 10

The Amount due on 14 October = $562 +$283 +$15+$11.855- $250

= $ 623

Therefore, The annual interest on a daily basis with 19.5%, then the finance charge due on October 14 will be $623

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According to the given table, the dataset does not describe a linear-relationhip because they do not show a linear relation between the variables, they are too far away from each other.

Given:

Number of digits = 7

The first digit cannot be zero

Last number = odd number

The possible numbers between other than zero is 9

and there are 5 odd numbers.

Hence, the number of possible combinations is:

Answer: Option A

Answer: the probability that at least two have seen a ghost or felt its presence is 0.527

Explanation:

In this scenario, it is either a person asked has seen seen a ghost or felt its presence or they have not. These outcomes are independent of each other. Thus, it's a binomial distribution. We would apply the formula for calculating binomial probability which is expressed as

P(x) = nCx * p^x * q^(n - x)

where

p = probability of success

q = 1 - p = probability of failure

n = sample size

x = number of successes

From the information given, we are concerned with the people that say they've seen a ghost or felt its presence. Thus,

p = 17% = 17/100 = 0.17

q = 1 - 0.17 = 0.83

n = 10

x = 2

We want to find P(x ≥ 2)

P(x ≥ 2) = 1 - [P(x = 0) + P(x = 1)

P(x = 0) = 10C0 * 0,17^0 * 0.83^(10 - 0) = 0.1552

P(x = 1) = 10C1 * 0,17^1 * 0.83^(10 - 1) = 0.3178

P(x ≥ 2) = 1 - (0.1552 + 0.3178) = 1 - 0.473

P(x ≥ 2) = 0.527

the probability that at least two have seen a ghost or felt its presence is 0.527

Given:

Required:

Sum of the numbers

Explanation:

Let

when n = 2, Aₙ becomes

when n = 3, Aₙ becomes

when n = 4, Aₙ becomes

when n = 5, Aₙ becomes

when n = 6, Aₙ becomes

when n = 7, Aₙ becomes

when n = 8, Aₙ becomes

So now,

Final answer:

The

Answer:

17

Step-by-step explanation:

73+b=90

b=90-73

b=17

Answer: F

Step-by-step explanation:

(i) The interval is meant to have infinitesimal width because the limit is approaching 0.

(ii) This gives the derivative at [tex](x, f(x))[/tex], which is the same as the slope of the tangent line.

(iii) False, this deals with the tangent line, not the secant.

(iv) True by definition.