The sum of two numbers is -27. The first number is one more than twice the second number

Answer is A

.

As in this case a= 1, b= -2, and c = 4

the answer is letter d)

if u arrange it correctly it will be -x +2y=2

-½x+y=1

then multiply -½ by the first equation and multiply -1 by the second equation..

then change the signs of the second equation

then cancel x .. then y =1

then substitute y with 1

..it won't be correct

Answer:

Step-by-step explanation:

The volume of a substance when given the density and mass can be found by using the formula

\(volume = \frac{mass}{density} \\\)

From the question

mass = 25 g

density = 8.9 g/cm³

The volume is

\(volume = \frac{25}{8.9} \\ = 2.80898876...\)

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Let b and c represent the rates of the boat and current, respectively. The speed upstream is ...

  speed = distance/time

  b -c = (124 km)/(4 h) = 31 km/h

And the speed downstream is ...

  b +c = (180 km)/(4 h) = 45 km/h

Adding the two equations gives ...

  2b = 76

  b = 38

From the first equation, ...

  c = b -31 = 38 -31 = 7

The rate of the boat in still water is 38 km/h; the rate of the current is 7 km/h.

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Answer:

20/32

Step-by-step explanation:

multiply numerator and denominator by 4 :

5*4/ 8*4 = 20/32

Answer:

There is an infinite number of possibilities because you gave us no answer choices. Here are some of them:

2/128

4/256

6/384

8/512

And we could go on and on with this.

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

Answer:  It was the crossroads for four major railroads. President Abraham Lincoln knew that if his army could capture Chattanooga, vital Confederate supply lines would be severed, and the war would be closer to an end.

Step-by-step explanation:

Step-by-step explanation:

C = cost of a composition book; 5 composition books purchased

T = total amount spent < $26

M = cost of magazine = $4

T = M + 5C < $26

$4 + 5C < $26

The problem statement did not ask for a solution, but here it is:

$4 + 5C < $26 ⇒ 5C < $22 ⇒ C < $4.40

Cost of a composition book < $4.40

The value of x for the given parallel line d || e is x = 20.

From the given question;

The lines d || e.

Thus, both sum of both angles will be 180 by linear pair.

2x - 3 + 7x + 3 = 180

Solving;

9x = 180

x = 20

Thus, the value of x obtained for the given parallel lines is 20.

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Answer:

Option (1).

Step-by-step explanation:

Statement given states that "A canary's beak is, at most 20 mm long."

Word "at most" means "the maximum".

So at most length of the beak means "length of the beak is less than equal to 20 mm".

And the expression representing this statement algebraically will be,

x ≤ 20

Therefore, option (1) will be the correct option.

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

200 b/c she will use 50cm² by Wall :)

Answer:

4 units

Step-by-step explanation:

The distance is always positives so choices 1 and 2 are out.

To find the distance of the points (-5, 4) and (-1, 4), subtact |-1| from |-5|.

|-5| - (|-1|)

5 - (1)

5 - 1 = 4

Answer:

4 Units = C

Step-by-step explanation:

Answer: 4.8

Step-by-step explanation:

because it isn’t sorry I’m just here for points don’t put that

Answer:

sorry siso don't know the answer sorry ☹☹

Answer:

B = 200

Step-by-step explanation:

Cross multiply

10(20) = 200

The shaded area to the right of 4 indicates all values larger than 4 being inequality included in the solution set, while the closed circle at 4 represents the number 4 being included in the solution set.

A relationship between two terms or values which is not equal is known as an inequality in mathematics. Inequality follows imbalances, therefore. In mathematics, an inequality makes a link among two quantities that are not equal. Egality and inequality are different. Use the not similar symbol most frequently when two components are not equal (). Various inequalities are employed to contrast values of all sizes. By changing the two parts until only the variables are left, one can solve many straightforward inequalities. However a variety of factors support inequality: Negative values are split or added on either side. Switch between the left & right.

The graph below shows the set of solutions to the inequality where x + 2 is larger than or equal to 6:

From negative 9 to positive 9 is a number line. At positive 4, a closed circle appears. Positive numbers four through nine are shaded on the number line.

This means that the inequality will be satisfied by any value of x larger than or equal to 4. The graph includes the value 4 in the solution set since it has a closed circle there, and because it is shaded to the right of 4, it also includes all values higher than 4.

Here is an illustration of the graph:

  |----|----|----|----|----|----|----|----|----|

     -9   -8   -7   -6   -5   -4   -3   -2   -1    0

                                           o        

                                         ---->      

                                           4        

                                         ----]      

                                           >        

      |----|----|----|----|----|----|----|----|----|

      -9   -8   -7   -6   -5   -4   -3   -2   -1    0

The shaded area to the right of 4 indicates all values larger than 4 being included in the solution set, while the closed circle at 4 represents the number 4 being included in the solution set.

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Answer:

p=0,83641536

Step-by-step explanation:

Let's calculate the probability that all 4 marbles are yellow:

p=26/40*25/39*24/38*23/37 ( no replacement)

=0,1635846372688....

probability that at least one of the marbles is green= 1-p

=0,83641536...

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Answer:

The answer is "Equiangular, Equilateral"

Step-by-step explanation:

please find the complete question in the file.

In this question, the answer is equiangular, in which the triangle was considered an equilateral triangle with 3 parallel inner angles. It's the measurement of each of these interior angles is 60 degrees, inside an equiangular triangle, and although there 3 parallel sides of an equiangular triangle, so it is just like an equilateral triangle.

Based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.

Recall:

In the diagram given (see image attached below), we have the following:

PQ = RQ = 14 (congruent sides)

PN = NR = 7 (N is the midpoint of PR)

Therefore:

PR = PN + NR

PR = 7 + 7 = 14

This shows that triangle PQR has equal side lengths measuring 14 units (PQ = RQ = PR = 14).

m<QPR = m<QRP = 60 degrees (two congruent angles).

m<NQR = 180 - (90 + 60) (sum of triangle)

m<NQR = 30 degrees

Therefore:

m<PQR = m<NQR + m<PQN

m<PQR = 30 + 30

m<PQR = 60 degrees.

This means that, triangle PQR has three equal angles measuring 60 degrees each (<PQR = <QPR = <QRP = 60 degrees).

Therefore, based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.

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Answer:

b

Step-by-step explanation:

because its right dummy

Answer:

Geo's desk is 2 feet wide. To convert inches to feet, divide the number of inches by 12, since there are 12 inches in a foot. 24 inches / 12 inches/foot = 2 feet.

Step-by-step explanation:

The linear function is y = 5x + 12 and the number of customers after 3 and 4 hours are 27 and 41 respectively.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line.

Using the data in the table, we can write can a linear function to represent it.

Taking two points;

The slope of the line is calculated as;

m = y₂ - y₁ / x₂ - x₁

m = 17 - 12 / 1 - 0

m = 5 / 1

m = 5

Using the value of the slope to calculate the y - intercept.

y = mx + b

17 = 5(1) + b

17 = 5 + b

b = 17 - 5

b = 12

The linear function is written as y = 5x + 12

a) The number of customers in the store after 3 hours is

y = 5x + 12

y = 5(3) + 12

y = 15 + 12

y = 27

b) The number of customers in store after 4 hours is

y = 5x + 12

y = 5(4) + 12

y = 20 + 12

y = 41

The linear function to model the table is y = 5x + 12

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Answer:Circumference is 2*pi*r

2 * 3.142 * 11.2 = 70.3808, to 1 decimal place is 70.4cm^2

Step-by-step explanation:

The solution to the inequality x² - 9x < -18 contains all true values contained in the interval 3 < x < 6.

Given the inequality in the question:

x² - 9x < -18

Convert the inequality to equation:

x² - 9x = -18

Move all terms to one side of the equation to obtain a quadratic expression equal to zero:

x² - 9x + 18 = -18 + 18

x² - 9x + 18 = 0

Next, factorize the quadratic expression using the AC method:

x² - 9x + 18 = 0

( x - 6 ) ( x - 3) = 0

Set each factor equal to zero and solve for x:

( x - 6 ) = 0

x - 6 = 0

x = 6

( x - 3) = 0

x - 3 = 0

x = 3

Now, use each root to create intervals:

x < 3  ( False )

3 < x < 6 ( True )

x > 6 ( False )

Therefore, the solution is 3 < x < 6 .

Option D) 3 < x < 6 is the correct answer.

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

Step-by-step explanation:

Seven  more than 9 is my denominator:

\(7+9=16\)

One less than my denominator is my numerator :

\(16-1=15\)

What fraction am I :

\(\frac{15}{16}\)

Answer:

\( \frac{15}{16} \)

Step-by-step explanation:

Sorry if wrong :( .

Follow me? FollowBack ^^ .

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)