Given p/8 = - 30/q = - 5, find the value of p and q​

Answer:

x+2y=4

Step-by-step explanation:

y=-1/2x+2 multiply both sides by 2

2y=-1x+4

2y+x=4 or x+2y=4 standard form

Answer:

9 is greater than or equal to b

Step-by-step explanation:

7 is greater than or equal to b+-2

(Add two to both sides)

9 is greater than or equal to b

Hope this helps

Answer:

Step-by-step explanation:

J(x)=b(x)

3x-2=|x+2|

3x-2=±(x+2)

when 3x-2=x+2

3x-x=2+2

2x=4

x=4/2=2

when 3x-2=-(x+2)

3x-2=-x-2

4x=-2+2=0

x=0

it is rejected as 0-2≠|0+2|

or -2=2

so x=2

Answer:

[tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

The question is not complete, but I would show how to solve a similar question.

Joy recorded the distances she walked each day for five days. How far did she walk in 5 days?

Solution:

We can see that Joy distance is recorded in the dot plot. From the dot plot, we can see that she walked 1/3 miles each day for three days, 1/2 miles for one day and 2/3 miles for one day. Therefore, to get the total distance walked, we just have to sum the individual distance that she walked each day. Hence the total distance is given as:

[tex]Total \ distance=\frac{1}{3} +\frac{1}{3} +\frac{1}{3}+ \frac{1}{2}+ \frac{2}{3} =\frac{13}{6}=2\frac{1}{6}[/tex]

Answer:

90

Step-by-step explanation:

Partition the figure by extending the sides of the ``middle'' square as shown at the right. Each original square contains four $3 \times 3$ small squares. The shaded figure consists of ten $3 \times 3$ squares, so its area is $10 \times 9 = \boxed{90\text{ square

units}}$.

In this exercise we have to use the knowledge of areas to calculate the area of ​​the square in gray, so we have that:

[tex]A=90[/tex]

First it is informed that one side of the square is 6, so every square has exactly:

[tex]l^2=6^2=36[/tex]

Adding that we have 3 squares with the same value of sides:

[tex]36*3=108[/tex]

However, there are areas that are being calculated twice in the central square, these areas are smaller squares that have side values ​​equal to 3, so:

[tex]l^2=3^2=9\\9*2=18\\108-18=90[/tex]

See more about areas at brainly.com/question/1631786

9514 1404 393

Answer:

  (c) 108 yd

Step-by-step explanation:

For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...

  c² = a² +b²

Solving for c, we have ...

  c = √(a² +b²)

  c = √(40² +100²) = √(1600 +10000) = √11600

  c ≈ 107.70 . . . . yards

The length of the hypotenuse is about 108 yards.

Answer:

the B graph

Step-by-step explanation:

Answer:

268

formula:

A= 2(wl+hl+hw)

Answer:

X= 42 degrees

Step-by-step explanation:

When combining 3x+12 and x, this results in a 180 degree angle to be formed. Therefore create the equation 3x+12+x=180 to get the value of X.

3x+12+x=180

4x+12=180

-12.     12

4x= 168

x= 42

Answer:

C. $40.50

Step-by-step explanation:

OK so, If 20 articles cost ? 90, then the cost of 9 articles is ?

First you need to find out how much is 1 article.. Divide 90 by 20 you get, $4.5. now multiply 4.5 by 9. Which you get... 40.5. In other words it can also be written as, 40.50.

Hope its correct ;w;

Answer: [20x, 8y] [9x, 16y]

Step-by-step explanation:

Go on x value 20 and go up to 8 on y value.

Go on x value 9 and go up 16 on y value.

Answer:

1 1/8

Step-by-step explanation:

Answer:

9 ft

Step-by-step explanation:

Hopefully this helps! :)

Answer:

D.) 119º

Step-by-step explanation:

All angles in a triangle have to add up to 180º. Add 87º and 32º to get 119º, then subtract from 180º to get 61º. Angle C is 61º. Since it's also supplementary to 1, subtract 61º from 180º. 1 is 119º.

Answer:

D) 119°

C) The two angles are supplementary.

Step-by-step explanation:

First problem:

<1 is an exterior angle of the triangle.

<A and <B are interior angles of the triangle far from <1.

For <1, angles A and B are called remote interior angles.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

m<1 = m<A + m<B

m<1 = 87° + 32°

m<1 = 119°

Answer: D) 119°

Second problem:

AB is a line. The diagonal line intersects line AB forming 4 angles, a, b, c, and d. Angles c and d are next to each other, called adjacent angles, and have a common side, and the other two sides lie on line AB. That makes angles c and d a "linear pair."  Two angles in a linear pair have measures that add to 180°, so angles c and d are supplementary angles.

Answer: C) The two angles are supplementary.

Answer:

Option A

Step-by-step explanation:

We will simplify the expressions given in the options first,

x² - 16 = (x - 4)(x + 4)

2x + 8 = 2(x + 4)

x² + 8x + 16 = (x + 4)²

Option A

[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]

= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]

= [tex]\frac{x-4}{2(x+4)}[/tex]

Option B

[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]

= [tex]\frac{2}{x^2-16}[/tex]

Option C

[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]

= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{(x-4)(x+4)}{2}[/tex]

Option D

[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2(x+4)}{(x-4)}[/tex]

Therefore, Option A is the answer.

Answer:

6m * 4m * 2m

Step-by-step explanation:

Given that :

Cubic volume = 48 m³

Possible dimension if none of the dimensions is 1 m

Volumetric Dimension = (length * width * height)

The product of the three dimensions must give 48m³

Constraint : none of the dimensions has a volume of 1 m.

Hence, possible dimension :

6m * 4m * 2m = 48m²

Hence, one possible dimension is :

6m * 4m * 2m

Answer:

There was a 24% decrease

Step-by-step explanation:

Percentage decrease = (final season's score - semi-final score) / semi final score x 100

[tex]\frac{95-125}{125}[/tex] ×100

[tex]\frac{-30}{125}[/tex] × 100 = -24%

Answer:

79 degrees

Step-by-step explanation:

You add the two angles and get 79. Then you subtract it from 180 because it is a straight angle. 180-101=79

Answer:

79

Step-by-step explanation:

28+73+x=180

a straight line is 180. That's how I got what it is equal to.

28+73= 101

101+x=180

subtract

180-101= 79

hope this helps!!

Answer:

2/1

Step-by-step explanation:

guessing that since it goes right 2 times and then goes up 4 times

Answer:

slope is 2

Step-by-step explanation:

if you're asking about the slope then it's 2

rise/run

rise=4

run=2

4/2=2

hope this helps

if it did pls mark brainliest

Answer:

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Step-by-step explanation:

15²-12² = 9²

BC = 9

sin B = 12/15 = 0.8

∠B = 53.1°

The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

The length BC will be calculated as below:-

15²-12² = 9²

BC = 9

The angle B will be calculated as below:-

sin B = 12/15 = 0.8

∠B = 53.1°

Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

Answer:

The answer is below

Step-by-step explanation:

At Lidal shop, 4 toilet rolls is sold for £2.40. Therefore the cost of each toilet roll is given as:

Cost of each roll at Lidal = £2.40 / 4 = £0.60 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.60 per roll * 36 rolls = £21.6

At Oldi shop, 9 toilet rolls is sold for £4.68. Therefore the cost of each toilet roll is given as:

Cost of each roll at Oldi = £4.68 / 9 = £0.52 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.52 per roll * 36 rolls = £18.72

Answer:

graph of polynomial function is smooth and continues graph it doesn't have gap and sharp line.

Step-by-step explanation:

first we make table to joine numbers on graph then we can join the number on the graph.

Answer:

Step-by-step explanation:

6^2 + x^2^2

36 + x^4

Hope that helps!

Answer:

Option B

Step-by-step explanation:

Formula to be used to calculate the length of an arc,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Angle subtended at the center by the arc

r = radius of the circle

By substituting values in the formula,

s = [tex]\frac{150}{360}(2\pi )(42)[/tex]

[tex]\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )[/tex]

[tex]\frac{s}{84 \pi }=\frac{150}{360}[/tex]

Therefore, Option B will be the answer.

Answer:

Step-by-step explanation:

the shape looks like a cube.. and maybe they say something about that outside of the picture, even but assuming that it is a cube, we know all the sides are the same.

we also know that the area of one side of the cube is  3 [tex]\frac{1}{4}[/tex]

so multiply that  

W x L = area

 3 [tex]\frac{1}{4}[/tex] * 3 [tex]\frac{1}{4}[/tex] = area

10 [tex]\frac{9}{16}[/tex]  = area

10.5625 = area

those two answer above are the same .. just one is in fractions and one is in decimals

there are 6 sides on a cube, so multiply the above answer by 6

6* answer = 63.375

63 [tex]\frac{3}{8}[/tex]  ( this is your answer)

both of those are also identical , but look different for the reasons I mentioned above

use which ever from seems better to you.  :)

Answer:

3/14

7/13

Step-by-step explanation:

answer:

30 > 4x + 2 and 6 books

step-by-step explanation:

30 > 4x + 2

30 > 4x + 2

28 > 4x

7 > x