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Final answer:

To solve the system of equations, use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite. Add the two equations together to eliminate 'x' and solve for 'y'. Substitute the value of 'y' into one of the original equations and solve for 'x'. The solution to the system of equations is x = -5/2 and y = -1.

Explanation:

To solve the system of equations:

4x + 9y = -19

-4x - 7y = 13

We can use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite:

16x + 28y = -52

Now, add the two equations together to eliminate 'x':

37y = -39

Divide both sides by 37:

y = -1

Substitute the value of 'y' into one of the original equations:

4x + 9(-1) = -19

4x - 9 = -19

Add 9 to both sides:

4x = -10

Divide both sides by 4:

x = -10/4 = -5/2

Therefore, the solution to the system of equations is x = -5/2 and y = -1.

Answer: 12+6x

Step-by-step explanation:

add like terms

Answer:

12+6x

Step-by-step explanation:

5+2=7

2x+4x=6x

Plug the two expressions together and you will have 12+6x

Answer:

The first and second are correct

Step-by-step explanation:

∠X and ∠Y and ∠W and ∠Z are linear angles and supplementary angles, and ∠Y and ∠Z are complementary angles. Then the correct options are A, B, and E.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

∠X and ∠Y are linear angles and supplementary angles.

∠W and ∠Z are linear angles and supplementary angles.

∠Y and ∠Z are complementary angles.

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Final answer:

The volume of the triangular pyramid is calculated by finding the area of the triangular base and then using the volume formula for a pyramid, resulting in a volume of 15 cubic inches.

Explanation:

To find the volume of a triangular pyramid, we use the formula for the volume of a pyramid, which is V = (1/3) × base area × height. First, calculate the area of the triangular base using the formula for the area of a triangle, A = (base length × base height) / 2. In this case, the base length is 3 inches, and the base height is 5 inches.

Therefore, the area of the triangle is A = (3 in. × 5 in.) / 2 = 7.5 in.². Now, we can calculate the volume of the pyramid using the height of the pyramid, which is 6 inches.

The volume of the pyramid is V = (1/3) × 7.5 in.² × 6 in. When you calculate this, you get V = 15 in.³, which is the volume of the pyramid.

Answer:

Step-by-step explanation:

Answer:

I think that the answer is A.

Step-by-step explanation:

Part a

theta = pi/3

sin(pi/3) = sqrt(3)/2

cos(pi/3) = 1/3

tan(angle) = opposite/adjacent = rise/run = slope

tan(pi/3) = sin(pi/3)/cos(pi/3) = (sqrt(3)/2)/(1/2) = sqrt(3)

This is also the slope the line y = kx because it is in the form y = mx+b with m = sqrt(3) and b = 0.

===============================================

Part b

Pick any value you want for x, and plug it in to find the paired value of y

if x = 0, then y = 0 because

y = sqrt(3)*x = sqrt(3)*0 = 0

---------

If x = 1, then y = sqrt(3), since,

y = sqrt(3)*x = sqrt(3)*1 = sqrt(3)

---------

If x = sqrt(3), then,

y = sqrt(3)*x = sqrt(3)*sqrt(3) = sqrt(3*3) = sqrt(9) = 3

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

Answer:

The answer is option 2.

Step-by-step explanation:

It is given that the formula of the volume of rectangular prism is, V = length×width×height. Then you have to substitute the values into the formula to find the volume :

length = 3x

width = 7x

height = 15x

V = (3x) × (7x) × (15x)

= 315x³

Answer: answer is f

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

3.4.3

Answer:

c

Step-by-step explanation:

I'm pretty sure it's asking for the circumference. The formula for finding the circumferene is C=πd (d=diameter) First, you need to fiind the diameter. Thequestion gives you the radius, 6.5, which is half the diameter. multiply that by 2 and you get 13. The question says to use 3.14 as π, so just multiply 3.14 by 13 and you get 40.82, which rounds to 41.

Answer:

C 12 hours after midnight

Step-by-step explanation:

I just answered this question

Answer:

no

Step-by-step explanation:

he starts with 90 bucks to find what the fraction represents you can multiply it by 2 to get an equal denominator of 90 then subtract 90-62 that'll give you 28 then it says he spent 3/7 so you do the same thing get an equal denominator by multiplying by 4 and get 28 and as they say whatever you do to the denominator is done to the numerator so 3 times 4 is 12 then you do 28-12 and you gets 16 which isn't enough to buy the hat. :)

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

[tex]$V=\frac{4}{3}\pi r^3[/tex]

[tex]$V=\frac{4}{3}\times 3.142 \times 5^3[/tex]

[tex]$V=523.66[/tex]

[tex]$V=524[/tex]

The volume of the sphere is 524 ft³.

Answer: i think is A they are parallel

Step-by-step explanation: is not  perpendicular NOT-B

The relationship between the lines represented by the equations 12y = 24x and 6x = 3y + 5 is that they are parallel lines. This conclusion is drawn from the fact that they have the same slope (2) but different y-intercepts (0 for the first line and -5/3 for the second line).

To determine the relationship between the lines represented by these equations, we must first put them in slope-intercept form (y = mx + b), where m represents the slope of the line, and b indicates the y-intercept.

For the first equation, 12y = 24x, we can divide both sides of the equation by 12 to get y = 2x.

For the second equation, 6x = 3y + 5, we re-arrange the equation by subtracting 5 from both sides and then dividing by 3. This gives us y = 2x - 5/3.

From the equations y = 2x and y = 2x - 5/3, we can see that the slopes of both lines are the same which is 2. This indicates that the lines are parallel to each other. However, since the y-intercepts are different (0 for the first line and -5/3 for the second line), we can conclude that they are different parallel lines, not the same line.

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Answer:

B. The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Given

Initial Shape: Rectangle (Before cut)

Final Shape: Triangles (After cut)

Note that this can be explained properly with the use of attachments

See attachment 1 for Before Cut

Before Cut represent the full rectangle before Jackie cut the piece of paper.

Let H and B represent the height and base of the triangle

Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle

See attachment 2 for After Cut

After Cut represent the two triangles after cutting the rectangle

From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;

In other words, the two triangle have their heights as H and their bases as B.

Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.

Answer:

c is the correct answer

Step-by-step explanation:

Laney builds a tower with wooden cubes The bottom cubes edges are 8 cm long The middle cubes edges are 2 cm shorter than the bottom cube The top cubes edges are 2 cm shorter than the middle cube what is the total volume of the cubes in the tower

Answer:

d

Step-by-step explanation:

Answer:

YOU FIND X BY     CAN U MARK ME AS BRAINLIEST????

Step-by-step explanation:

MULTIP[LYING ALL OF THE SIDES AND NUMBERS THEN THAT IS YOUR ANSWER

Given:

Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot.

We need to determine the Median, Interquartile range and Range.

Median:

The median is the middle value of the given set of data.

From the box plot, it is obvious that the median line is at 18.

Thus, Median = 18

Hence, the value of the median is 18.

Interquartile range:

The interquartile range is can be determined by finding the difference between the ends of the box in the box plot.

From the box plot, we have;

Interquartile range = 20 -16

Interquartile range = 4

Hence, the value of the interquartile range is 4.

Range:

The range can be determined by subtracting the highest and the lowest value in the given set of data.

From the box plot, the range can be determined by subtracting the ends of the line.

Thus, we have;

Range = 28 - 10

Range = 18

Hence, the value of the range is 18.

Answer:

Median:  18

Interquartile range:  4

Range:  18

Step-by-step explanation:  

I just did this on edgen so this is the correct answer.

Answer:

range: 20

Median: 38

Lower quartile and upper quartile: 29 and 42.5

Interquartile: 13.5

Which value 2was affected the most: Range

Step-by-step explanation:

Answer:To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

hope this helps

plez mark as brainlyest

Answer:

y=1/3x-6

Step-by-step explanation:

equation: y=mx+b

m=slope, b=y-intercept

equation: y=1/3x-6

Answer:

x=34

Step-by-step explanation:

The angle measure of a straight line is 180 degrees.

So if you add up all of the angles to make an equation, you get 2x + 112=180.

Then solve.

2x + 112=180

-112

2x=68

x=34

Answer:

3(x+5) (x+6)

Step-by-step explanation:

The factored form of 3x² + 33x + 90 is: 3(x + 6)(x + 5)

To factor completely the quadratic expression 3x² + 33x + 90, we can look for two binomial factors that multiply together to give us the original expression.

First, we can check if the expression can be factored by using the common factor 3:

3x²+ 33x + 90

We can factor out 3 from each term:

3(x^2 + 11x + 30)

Now, we need to find two binomial factors that multiply to give us x² + 11x + 30.

The factors can be determined by factoring the quadratic expression further:

x² + 11x + 30 = (x + 6)(x + 5)

Therefore, the completely factored form of 3x² + 33x + 90 is:

3(x + 6)(x + 5)

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Answer:

C

Step-by-step explanation:

Your slope (m) is 1 and your y-intercept (b) is -9

y = mx + b

y = x - 9

f(x) also means y

Please make my answer the brainliest if its helpful

Answer:

y = 7.699

Step-by-step explanation:

10−y=2.301

subtract 10 from both sides

10-10−y=2.301-10

-y =-7.699

Multiply each side by -1

y = 7.699

To find the amount of the increase, calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year. The amount of the increase is $170.

To find the amount of the increase, we need to calculate the difference in premiums per $1,000 between when Taylor Breen took out the policy at age 48 and when he will be 53 years old next year.

First, let's calculate the initial premium per $1,000 at age 48:

$100,000 / $1,000 = 100  (number of units)

$100,000 * $4.70 = $470,000  (initial premium)

Next, let's calculate the premium per $1,000 when Taylor Breen will be 53 years old:

$100,000 / $1,000 = 100  (number of units)

$100,000 * $6.40 = $640,000  (premium at age 53)

The amount of the increase is:

$640,000 - $470,000 = $170,000

Therefore, the amount of the increase is $170.

Answer:

15x5+25=x

Step-by-step explanation:

15 times 5 plus 25 = total amount paid

Answer:

I think it's gonna be c

Step-by-step explanation:

C The expression test

Answer:

Exact Form:

149 /5

Decimal Form:

29.8

Mixed Number Form:

29 4 /5

Step-by-step explanation:

If this helped, please mark brainiest, thanks

Answer:

29 8/10

Step-by-step explanation:

because since the denominaters are the same you can just add the fractions.

5+3=8 and 20+9=29