What is the relationship between the values p and q plotted on the number line below?
A. q>P
B. p= q
c. p> q​

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

Answer:

No solution

Step-by-step explanation:

The easiest approach here is to divide the second equation by 2:  x + 2y = -4.

Comparing the first equation with this result, we see that the the two lines never intersect, and thus that there is no solution.

Answer:

D) 8

Step-by-step explanation:

We're looking for [tex]x[/tex], which means the 7x and 5x will have the SAME x.

7(8) = 56

For the C corner, it is cornered as a 90 degree angle, so that means the (7x) + 34 degrees NEEDS to equal 90.

7(8) = 56 + 34 = 90!!

Now we have to see if 5(8) is correct

5(8) = 40 + 50 [The degree mark] = WHICH EQUALS 90 TOO..

Therefore, the answer is D) 8

Answer:

B

Step-by-step explanation:

the notation answer would also be 3.246 × 10-4 i believe :)

Answer:

x=6

Step-by-step explanation:

3x- 4=14

   +4 +4

    3x=18

      x=6

Answer:

El cambio de aceite y de neumáticos coincidirá por primera vez en 180.000 km.

Step-by-step explanation:

Como tenemos que encontrar cuándo se realizarán los dos cambios al mismo tiempo por primera vez, esto significa que tenemos que encontrar el mínimo común múltiplo de los dos números dado que este es el múltiplo más pequeño que tienen en común esos números y es donde coinciden por primera vez. Para encontrar el mínimo común múltiplo, puedes escribir los múltiplos de cada número y encontrar los que son comunes y seleccionar el más pequeño.

Múltiplos de 60.000= 60.000, 120.000, 180.000, 240.000, 300.000, 360.000, 420.000

Múltiplos de 90.000= 90.000, 180.000, 270.000, 360.000, 450.000, 540.000, 630.000

De acuerdo a esto, el mínimo común múltiplo es 180.000 dado que es el múltiplo más pequeño en el que coinciden y la respuesta es que el cambio de aceite y de neumáticos coincidirá por primera vez en 180.000 km.

Answer:

x = 5

x = 6

x = 10

Step-by-step explanation:

NOTE: IT HAS TO BE MORE THAN 5 OR EQUAL TO 5

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Complete question :

A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz

Answer:

5,424 grams

Step-by-step explanation:

To convert using the conversion factor :

Number of pounds of butter * (16 oz/1) * (28.35) /1

Hence,

12 * 16oz/ 1 * 28.35/1

(12 * 16 * 28)

= 5,424 grams

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

This should help

The number of flower arrangement and the costs are illustrations of linear equation

If Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Represent the number of small arrangements with x, and the total cost with y.

Using the data from the question, we have:

Hampton Florist: y = 12x + 27.

Farid's Flowers: y = 32 + 7x

When both flower arrangements cost the same, we have the following equation

12x + 27 = 32 + 7x

Collect like terms

12x - 7x = 32 - 27

Evaluate the like terms

5x = 5

Divide both sides by 5

x = 1

This means that 1 small arrangement would cost the same in both flower shops

In (a), we have:

y = 12x + 27.

Substitute 1 for x

y = 12(1) + 27

y = 39

Hence, if Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

{48, 64, 81}

Step-by-step explanation:

Answer: C

So I was right, I guess.

Answer:

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

Just got it on plato your welcome:)

The segments formed by each transversals and the three parallel lines are

proportional according to the three parallel lines theorem.

The observations are;

Reasons:

The question is a four part question

Let the equations of the parallel lines be as follows;

Line, x; y = x

Line, y; y = x + 1

Line z; y = x + 2

The points at which transversal 1 intersect the lines x, y, and z, are;

A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)

The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)

The ratio of the lengths of the segment formed by transversal 1 is therefore;

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]

The points at which transversal 2 intersect the lines x, y, and z, are;

D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)

The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]

Therefore;

Which gives;

The the comparison can also be made with the triangle proportionality theorem.

Learn more about triangle proportionality theorem here:

https://brainly.com/question/8160153

Answer:

y=13 degrees

Step-by-step explanation:

This is an isosceles triangle, we know this because NO and NM are equal.

In an isosceles triangle, the base angles are congruent. In this case, they are angle NOM and angle NMO.

We also know that the sum of the interior angles of a triangle are equal to 180.

With this information, we can make an equation by gathering all the interior angles:

8y+2(3y-1)=180

Solve for y.

8y+6y-2=180

14y-2=180

14y=182

y=13

Answer:

(X+6)(x-5) + (X-5)(X+6)

Answer:

[tex]2x ^{2} - 22x + 60[/tex]

Answer:

212, pretty sure

Step-by-step explanation:

Answer:

Part A

The two figures, ΔABC and ΔPQR are congruent by the SSS rule of congruency

Part B

The rigid motion that maps ΔABC to ΔPQR are a 180° clockwise rotation about the origin, followed by a horizontal shift of 1 unit to the right

Step-by-step explanation:

Part A

The given coordinates of the vertices of triangle ABC are;

A(-8, -2), B(-3, -6), C(-2, -2)

The length of side AB = √((-6 - (-2))² + (-3 - (-8))²) = √41

The length of side AC = √((-2 - (-2))² + (-2 - (-8))²) = 6

The length of side BC = √((-6 - (-2))² + (-3 - (-2))²) = √17

The given coordinates of the vertices of triangle PQR are;

P(9, 2), Q(4, 6), R(3, 2)

The length of side PQ = √((6 - 2)² + (4 - 9)²) = √41

The length of side PR = √((2 - 2)² + (3 - 9)²) = 6

The length of side RQ = √((6 - 2)² + (4 - 3)²) = √17

Given that the length of the three sides of triangle ABC are equal to the lengths of the three sides of triangle PQR, we have;

ΔABC ≅ ΔPQR by Side Side Side rule of congruency

Part B

Whereby AB and PQ, and BC and RQ are pair of corresponding sides, the rigid motion that maps ΔABC to ΔPQR are;

1) A 180° clockwise (or counterclockwise) rotation about the origin followed by

2) A shift of 1 unit to the right.

Answer:

Pounds of candy      Cost ($)       Cost/pound

1                                  $3                $3/1                                                  

3                                 $9                $3/1                                      

7                                 $21               $3/1                                                          

10                               $30              $3/1                                                      

Answer:

A

Step-by-step explanation:

The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,

The lateral surface area of a pyramid is given by the formula:

L = (1/2) * P * l

where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.

So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.

Total area = 4[20] + 25 = 105

When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.

So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.

Total area = 4{500} + 125 = 2125

Therefore, the surface area is multiplied by a factor of 2125/105 = 25.

Learn more about the surface area here: https://brainly.com/question/2835293

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Answer:

46.56 pounds

Step-by-step explanation:

Given data

4.3 pounds

2 pounds

3.8 pounds, and

5.9 pounds

Let us find the total weight of all the items

=4.3+2+3.8+5.9

=16 pounds

We are told that he is charged $2.91 per pound for shipping

Hence the cost of shipping 16 pounds is

=2.91*16

=46.56 pounds

Step-by-step explanation:

a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°

Answer:

Step-by-step explanation:

4x - 12 = 11 - 3x

Bringing like terms on one side

4x + 3x = 11 + 12

7x = 23

x = 23/7

Answer:

241

Step-by-step explanation:

205

+36

_____

241

X would be 241

Answer:

The pyramid with the greater volume has 5in^3 more sand

Step-by-step explanation:

Given

Pyramid A

[tex]B = 25in^2[/tex] -- Base Area

[tex]h = 9in[/tex] --- height

Pyramid B

[tex]B = 30in^2[/tex]

[tex]h = 7in[/tex]

See attachment for pyramids

The volume of a square pyramid is:

[tex]V = \frac{1}{3}Bh[/tex]

First, calculate the volume of pyramid A

[tex]V_A = \frac{1}{3} * 25in^2 * 9in[/tex]

[tex]V_A = 25in^2 * 3in[/tex]

[tex]V_A = 75in^3[/tex]

Next, the volume of pyramid B

[tex]V_B = \frac{1}{3} * 30in^2 * 7in[/tex]

[tex]V_B = 10in^2 * 7in[/tex]

[tex]V_B = 70in^3[/tex]

To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes

[tex]d = |V_B - V_A|[/tex]

[tex]d = |70in^3 - 75in^3|[/tex]

[tex]d = |- 5in^3|[/tex]

[tex]d = 5in^3[/tex]

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

Answer:2008

Step-by-step explanation:

Answer:

I think the answer is 49in^2

Answer: 1,953

Step-by-step explanation:

23,440 divided by 12