question topic - logarithm qn 22 in picture below, qns has 2 parts

Answer:

q = -p-6

Step-by-step explanation:

=> 5q+2p+4 = 3q-8

(Combining like terms)

=>5q-3q = -2p-8-4

=> 2q = -2p -12

=> 2q = 2(-p-6)

Dividing both sides by 2

=> q = -p-6

[tex]q = - p - 6[/tex]

[tex]5q + 2p + 4 - 3q = - 8 \\ 2q + 2p + 4 = - 8 \\ 2q + 4 = - 8 - 2p \\ 2q = - 8 - 2p - 4 \\ 2q = - 12 - 2p \\ \frac{2q}{2} = \frac{ - 2p - 12}{2} \\ q = \frac{ - 2p - 12}{2} \\ q = - p - 6[/tex]

Answer:

1st option

Step-by-step explanation:

Answer:

w=6

Step-by-step explanation:

w=6

If you double 5 on the bottom to get 10, you will also have to double 3 on the top.

An easy way you could do this is by cross products. 3(10)=5(w). w=6

Answer:

w = 6

Step-by-step explanation:

3/5 = w/10

Cross multiply.

10 × 3 = 5 × w

Multiply.

30 = 5w

Divide 5 on both sides.

30/5 = w

6 = w

Answer:

147

Step-by-step explanation:

Given: Maria=3

Max=3 squared=9

Molly=Max+Maria=9+3=12

Mitch=Molly squared+Maria=144+3=147

Hope this helps!

Solution:

Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.

Answer: 88/11.

Step-by-step explanation:

We want to find a expression, with a denominator of 11, that is equivalent to 8.

remember that if we have the expression A/B

the numerator is A, and the denominator is B.

Then we have:

A/11 = 8

we need to find the value of A.

To do this, we can multiply by 11 in both sides of the equation:

(A/11)*11 = 8*11

A = 88

Then the expression is:

88/11.

Answer:

90 units^2

Step-by-step explanation:

Area of a triangle = 1/2 x b x h

assuming that 12 and 15 are its measurements,

I am going ahead with:

1/2 x 12 x 15 = 1/2 x 180 = 90units^2

since cm or m is not given I have written units. Please change accordingly.

Hope this helps

Answer:

1. 60z, 36

2. 96a, 88

Step-by-step explanation:

1.

First, find the like terms for z. (60z)

Second, find the like terms for 20, 4, and 12. (36)

2.

Combine the 88a and 8a (96a)

Then combine 8 plus 80 (88)

Answer:

(50z+20)(10z+4)

=50z(10z+4)+20(10z+4)

=500z²+200z+200z+80

=500z²+400z+80

(88a+80)(8a+8)

=88a(8a+8)+80(8a+8)

=704a²+704a+640a+640

=704a²+1344a+640

Step-by-step explanation:

i hope this will help you:)

Answer:

q = -6 - p

Step-by-step explanation:

By collecting the like terms , we have:

5q - 3q = - 8 - 4 - 2p

2q = -12 - 2p

divide each term by 2 , we have  

q = -6 - p

Answer:

Solution,

[tex]5q + 2p + 4 = 3q - 8 \\ or \: 5q - 3q = - 8 - 4 - 2p\\ or \: 2q = - 12 - 2p \\ or \: q = \frac{ - 12 - 2p}{2} \\ q = - 6 - p[/tex]

hope this helps...

Good luck on your assignment..

Answer:

D. 2/17

Step-by-step explanation:

Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.

Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.

Answer:

5.0 [tex]m^3[/tex]

Step-by-step explanation:

The volume of a rectangular  prism is given as:

V = L * W * H

where L = length

W = width

H = height

Put all the dimensions in the same unit, metre (m).

Length = 5 m

Width = 40 cm = 40 / 100 = 0.4 m

Height = 2500 mm = 2500/1000 = 2.5 m

The volume of the prism is:

V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]

Answer:

3332 green beads

Step-by-step explanation:

There are 1428 more green beads than red beads.

There are 3,332 greed beads in the box

Given :

A box contains red, purple and green beads in the ratio 4:6:7

From the given ratio,

number of red beads = 4x

number of purple beads= 6x

number of green beads= 7x

There are 1428 more green beads than red beads.

green  beads =1428 + red beads

[tex]7x=1428+4x\\3x=1428\\x=476[/tex]

we know that number of green beads= 7x

number of green beads= [tex]7(476)=3332[/tex]

There are 3,332 greed beads in the box

learn more : brainly.com/question/20318626

Answer:

13,27,43,23,39.

i think these r the prime numbers

The prime numbers are:

13, 43, 23

Step-by-step explanation:

The quotient is 0.125

I think this should be the answer

Answer:

0.125

Step-by-step explanation:

Answer:

[tex]\mathrm{78.96 \: cm}[/tex]

Step-by-step explanation:

Cylinder volume formula is [tex]\pi r^2h[/tex]

[tex]\pi \times 6^2 \times h=904.78[/tex]

[tex]36\pi \times h=904.78[/tex]

[tex]h=904.78 \div 36\pi[/tex]

[tex]h=78.95695[/tex]

Answer:

8.00 cm

Step-by-step explanation:

Answer:

The answer would be a 25% chance of picking the paper with a circle on it

Step-by-step explanation:

Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer:

m = -3

Step-by-step explanation:

The slope formula is y2 - y1 / x2 - x1

7 - -5 = 7 + 5 = 12

-4 - 0 = -4

12 / -4 = -3

I hope this helps :))

Answer:

197,8879 N.

Step-by-step explanation:

The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.

The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.

With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.

The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.

F= (120 N cos 60°) + (180 N x cos 40°)

F= 197,8879 N

Answer:

y/4 + x/12

Step-by-step explanation:

The number of working toys = x

The number of broken toys = y

Bert breaks 1/3 of the working toys, that is:

1/3 * x = x/3

The number of broken toys is now:

y + x/3

Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:

1/4 *(y + x/3)

= y/4 + x/12

The graph that shows a dilation among the given graphs is; Graph 1.

scale factor. What this means is that the ratio of each dilated side to their

respective old sides before dilation must be the same scale factor.

       First Graph; We can see it is a rectangle and the pre-dilated image has

2 units along the y - axis and 4 units across the x-axis. After dilation, it now

has 4 units along the y - axis and 8 units across the x-axis. This means the

scale factor in both axis are; 4/2 = 2 and 8/4 = 2. They are both the same

scale factors and as such this graph shows a dilation.

     For the second, third and fourth graphs, the scale factors after dilation

are not equal for both axis and as such they do not represent dilation.

Read more at; https://brainly.com/question/21930134

Answer:

Step-by-step explanation:

[tex]18 :9\\\frac{18}{9} \\Use -3- to- divide- through\\= \frac{2}{1} \\= 2:1[/tex]

Answer:

2x^2 - 11x + 15

Step-by-step explanation:

Expand 2x - 5 and x - 3 means that the algebraic expressions be multiplied.

(2x - 5)(x - 3)

x(2x - 5) -3(2x - 5)

2x^2 - 5x - 6x +15 = 2x^2 - 11x + 15

Answer:

D

Step-by-step explanation:

[tex]\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4[/tex]

Hope this helps!

Answer:

About 50 times

Step-by-step explanation:

can I have a thx, 5 star, brainliest and will you let me know if right?

Answer:

4

Step-by-step explanation:

3p+8=20

3p=12

p=4

Answer:p=4

Step-by-step explanation:

2p+8=-p+20

Step 2: Add p to both sides.

2p+8+p=-p+20+p

3p+8=20

Step 3: Subtract 8 from both sides.

3p+8-8=20-8

3p=12

Step 4: Divide both sides by 3.

3p/3=12/3

p=4

Answer:

B.

Step-by-step explanation:

The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.

Answer:

x=4

Step-by-step explanation:

7x-2(x - 10) = 40

Distribute

7x -2x +20 = 40

Combine like terms

5x +20 =40

Subtract 20

5x +20 -20 = 40-20

5x= 20

Divide by 5

5x/5 = 20/5

x =4

Answer:

x=[tex]\frac{7}{22}[/tex]

Step-by-step explanation:

To solve for x, you need to isolate it. The first step is dividing by [tex]\frac{2}{7}[/tex] on both sides. Dividing by a fraction is just like multiplying by the reciprocal, so really you are multiplying both sides by [tex]\frac{7}{2}[/tex]. [tex]\frac{1}{11}[/tex] × [tex]\frac{7}{2}[/tex] =[tex]\frac{7}{22}[/tex]

Answer: x = 5

Step-by-step explanation:

14 / 2 = 7

7 * 5 = 35

Same applies for x

2 / 2 = 1

1 * 5 = 5

Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

[tex](x+y)^2 = x^2+y^2+2xy[/tex]

Where,

x = 2a and y = 3b

Putting in the above formula

=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13