Fill In the proportion No explanation just need answer got disconnected from last tutor

Answer:

b. 50

Step-by-step explanation:

20 x 5 + 10 = 110

8 × 8 - 4 = 60

110 - 60 = 50

Answer:

b. 50

Step-by-step explanation:

(20x5+10)- (8x8-4)

(100+10) - (64-4)

110 - 60

equals 50

A boat travels 82 km on a 160-degree course. Find the distances it travels south and east, respectively

see the attached figure to better understand the problem

step 1

Find out the East's distance (dx)

we have that

cos(20)=dx/82

dx=82*cos(20)

step 2

Find out the South's distance (dy)

sin(20)=dy/82

dy=82*sin(20)

Answer:

(2,0)  and (-2,0)

Step-by-step explanation:

pls mark me Brainliest

Answer: (-4,-4) (6,-4)

Step-by-step explanation:

I took the test and it said these were the corrects answers.

Answer:

$160

Step-by-step explanation:

A shop, had a sale. In the sale, normal prices were reduced by 15%. The normal price of a chair was reduced in the sale by $24. Work out the normal price of the chair.

if 15% of normal price equals $24 then:

24/15% or 24/0.15 = $160 normal price

CHECK:

$160 * 0.15 = $24

Answer:

$160

Step-by-step explanation:

We want to know the price of the chair

So:

24 / 0.15 = 160$

or

24 / 15% = 160

Answer: [tex]x\leq 1/3\\[/tex]

Step-by-step explanation:  

The rule of the length of an arc is

Where L is the length of the arc

x is the central angle subtended by the arc

r is the radius of the circle

∵ BC = r

∵ BC = 16 ft

∴ r = 16

∵ < ABC is a central angle subtended by the arc AC

∴ ∵ < ABC = 51 degrees

∴ x = 51

→ Substitute the values of x and r in the rule above to find The length of arc AC

→ Round it to 2 decimal places

∴ AC arc = 14.23 ft

1) We can see here a case in which there are two secant lines coming from a single point over that circle.

2) So, we can write out the following relation

we have the following:

They are related in the way taht if we replace, in both equations it gives the same result:

So we need to figure out which is the best buy. In order to do this we must look at a particular variable: the price per ounce of peanuts. This price is given by dividing the total price of a certain amount of peanuts divided by its weight in ounces. So for the Barrel brand we get:

So the Barrel peanuts cost $0.339 per ounce. For the Mr. Nut peanuts we get:

Then the Mr. Nut peanuts cost $0.324 per ounce. Finally, the price per ounce of the Chip's peanuts is:

Then, the cheapest peanuts are those of the brand Mr. Nut and that is the best buy.

We have to convert the number into scientific notation.

The number is 0.00098.

We start by expressing it as a fraction.

If we divide it by 10, we can express it as:

Dividing by 10 is not enough. In the same way, we have to look a numerator that is multiple of 10 that gives us a numerator that is 9.8.

We would get:

Now we have the numerator we need.

We now express the denominator 10,000 as a power of 10 and we get the number in scientific notation as:

Answer: 0.00098 = 9.8 * 10^(-5)

The linear equation that gives the values of P in terms of x which is Madeline's total pay on a given day is; P + 20·x + 80

An equation consists of two expressions that are joined by an equal to sign to complete a mathematical statement.

The given parameters are:

Madeline's daily base pay = $80

Madeline's commission for each computer sold = $20

The given table of values is presented as follows:

Daily pay, in Dollars, P;                     [tex]{}[/tex]        80, 100,  120, 140

Number of computers sold, x; [tex]{}[/tex]                 0,    1,       2,    3

From the above table of values, given that the independent variable, x, is increasing at a constant rate, and that the first difference is constant, we have that the relationship is a linear relationship, that has an equation of the form; P = m·x + c

Where:

m = The slope

c = The y-intercept

The slope which gives the ratio of the rise to the run of the graph is given by the equation; [tex]m = \dfrac{100-80}{1-0} =20[/tex]

The equation in point and slope form is therefore: P - 80 = 20·(x - 0) = 20·x

P - 80 = 20·x

P = 20·x + 80

Learn more about writing linear equations here:

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F(n) = -11 + 22(n-1)

Hence F(1) = -11

let An = F(n) -F(n-1)

Hence F(n)= f(n-1) +22

We have

and

From these,

The largest measurement is 200 degrees. Thus, option B is correct.

If B is between A and C, but B is not midpoint, then the graph would be

The equation would be

On the other hand, if B is between A and C, and B is a midpoint, the graph would be

The equation would be

SOLUTION:

Step 1:

In this question, we are given the following:

Principal = $ 18,000

Time = 60 month = 60/ 12 = 5 years

Interest = 4. 3%

Step 2:

The total amount she will pay at the end of the 5 -year period is given as follows:

Step 3:

Now, we have that the amount = 22, 217. 44 dollars.

And the Principal = 18,000 dollars

If she makes all the monthly payments,

Then, the total amount of interest she will pay on the loan is:

CONCLUSION:

The total amount of interest she will pay on the loan = 4, 217. 44 dollars.



Hello! To find the number of liters of water, we have to calculate the volume of the parallelepiped:

The formula of the volume is:

Now that we know the volume, we have to convert cm³ to liters.

For this, we must remember:

1cm³ = 0.001 liter

Multiplying by rule of three, we will obtain:

Answer:

54

Step-by-step explanation:

Hello!

A direct variation can be expressed as [tex]y = ax[/tex], where a is multiplied.

As you can see, x is 6 times greater than y, proving that when y is 6, x is 36 (6*6 = 36).

Therefore, we can say that if y is 9, we can multiply the value by 6 to find the x-value:

So the value of x is 54.

A strategy is a way to manipulate numbers, use connections and interactions between numbers to solve an issue. For each procedure, there are a few key tactics. The first thing you do with the statistics is frequently used to categorize, characterize, or label a technique.

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Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

If triangles ABC and RPM are congruent, it means that:

For x, we have that:

Thus, we have that:

For y, we have:

Thus, we have that:

Therefore, the answers are:

The LAST OPTION is correct.

Given:

The vector

Required:

To find the unit vector u with the same direction.

Explanation:

Unit formula is the vector is divided by its magnitude.

Now the magnitude of v is,

Now the unit vector is,

Final Answer:

Given the triangles ABC and EDC

We will find the transformation that makes the triangles are similar

As shown: the triangles are reflected over the y-axis

the rule of the reflection over the y-axis will be as follows:

And as shown, the length of the side AB = 3 units

And the length of the side ED = 1 units

So,

So, the answer will be:

D) (x,y) ⇒ (-x, y)

E) (x,y) ⇒ (1/3 x, 1/3 y)

P(x,y) is the coordinate point of the locus

ordinate is y

abscissa is x

Following the sentence we have

ordinate square y^2

decreased means subtract

square of the abscissa x^2

is means equal

the sum of the coordinates x+y

The standard form equation of a line is expressed as

Ax + By = C

where

A, B and C are real numbers and A and B are not both zero. From the information given,

the line passes through(- 2, 5) and slope = - 4

We would find the y intercept of the line, c by substituting slope, m = - 4, x = - 2 and y = 5 into the slope intercept equation which is expressed as

y = mx + c

Thus, we have

5 = - 4 * - 2 + c

5 = 8 + c

c = 5 - 8 = - 3

Thus, the equation of the line in the slope intercept form is

y = - 4x - 3

We would convert it to standard form. Thus, we have

y + 4x = - 3

4x + y = - 3

Thus, the equation in standard form is

4x + y = - 3

The blue line in the graph indicates the function f(x).

The values in the y-axis are the value of the function, that is, the value of f(x) for a given value of x. The x-axis indicates what value of x generates the value in the y-axis.

So, if we want to find the value of x that gives us f(x) = 7, we need to find where is the value '7' in the y-axis, then we draw an horizontal line from this value toward the line of the function (blue line).

This horizontal line will intersect the function in a certain point. This point is where the function has the value 7.

Now, to find the value of x of this point, we draw a vertical line from this point downwards, until it intersects the x-axis.

This way, looking at the image, we can see that the value of x that gives us f(x) = 7 is the value x = 5.

To transform a function 1 unit up, we add 1 outside of the function

h(x) = |x| +1

shifting it 4 units to the left, we will add 4 units from x inside

h(x) = |x+4| +1

The transformed function is

h(x) = |x+4| +1

Explanation:

For the first line :

1. Draw a line which has a slope of 1 /2

2. Adjust the line so that it has a y-intercept of -4.

For the second line:

1. Draw a line which has a slope of -1

2. Adjust this line so that it has a y-intercept of -7.

Finally, find the point where the two lines intersect.

The coordinates of the point of intersection are the solution to our system.

To get a line which has a slope 1/2, you start from (0, -4 ) and then move 2 units to the right and then 1 unit up.

Answer:

oop

Step-by-step explanation:

oh

We need to use Binomial Probability.

Of 6 births, we want to find the probability of at least 2 of them being girls.

To solve this, we need to find:

Probability of exactly 2 girls

Probability of exactly 3 girls

Probability of exactly 4 girls

Probability of exactly 5 girls

Probability of exactly 6 girls

If we add all these probabilities, we get the probability of at least 2 girls.

To find the probabilities, we can use the formula:

Where:

n is the number of trials (in this case, the number of total births)

r is the number of girls we want to find the probability

p is the probability of the event occurring

The formula for "n choose r" is:

Then, let's find the probability of exactly 2 girls:

The probability of the event occurring is:

Because there is a 50% probability of being a girl or a boy.

let's find "6 choose 2":

Now we can find the probability of exactly 2 girls:

We need to repeat these calculations for exactly 3, 4, 5, and 6 girls:

Exactly 3 girls:

let's find "6 choose 3":

Thus:

Exactly 4 girls:

"6 choose 4":

Thus:

Exactly 5 girls:

"6 choose 5"

Thus:

Exactly 6 girls:

"6 choose 6"

Thus:

now, to find the answer we need to add these 5 values:

To the nearest tenth, the probability of at least 3 girls is 0.891, thus, the last option is the correct one.

To describe the transfer we will review what the points of the blue and red triangle are.

Blue triangle

I = (-2, 8)

I' = (4, 4)

First, we will determine the x-axis translation

6 units right

Now let's calculate the y-axis transfer

4 units down

The answer would be 6 units right and 4 units down​