2x10+3a=59 What is a?​

Answer:

2p + 4b = 42

7p + 9b = 107

p = $5

b = $8

Step-by-step explanation:

p is cost of plant, b is cost of bush

2p + 4b = 42

7p + 9b = 107

First we'll solve the first equation for p in terms of b:

2p + 4b = 42

subtract 4b from both sides

2p = -4b + 42

divide both sides by 2

p = -2b + 21

Now substitute that value in for p in the second equation, and solve for a numerical value of b:

7(-2b + 21) + 9b = 107

-14b + 147 + 9b = 107

combine like terms:

-5b = -40

b = 8

Use this to go back and solve for p:

p = -2b + 21

p = -2(8) + 21

p = -16 + 21 = 5

---------------------------

check the math:

2p + 4b = 42

2(5) + 4(8) = 10 + 32 = 42

Answer:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

start by replacing f(x) for y:

y = 2x + 1

switch y and x:

x = 2y+1

solve for x by first subtracting 1 from both sides:

2y = x-1

divide 2 from both sides:

y = [tex]\frac{x - 1}{2}[/tex]

replace y with [tex]f(x)^{-1}[/tex]:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{120+30}{\frac{66}{1126}-8*3+17-4*4 }[/tex]

[tex]\frac{-42225}{6458}[/tex]

Answer:

Step-by-step explanation:

∠EMC  = ∠EMD + ∠DMC

∠EMC = 90

∠EMD + ∠DMC = 90

∠EMD + 20 =90

∠EMD  = 90 - 20

∠EMD  = 70

∠FMD + ∠DMB = 180  {Linear pair}

90 + ∠DMB = 180

        ∠DMB = 180 - 90

       ∠DMB = 90

Answer:

-4/5/12

Step-by-step explanation:

-7/2/3 + (-5/1/2) + 8/3/4

-13/1/6 + 8/3/4

-4/5/12

Answer: slope = 3

Step-by-step explanation:

We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope [tex]\frac{3}{1}[/tex] simplified to 3

97 decibel sound is 2.5 times more intense than a 93 decibel sound

Correct option is C.

Sound intensity also known as acoustic intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area. Sound intensity is the sound power in watts divided by the area (in square meters) covered by the sound. Sound loudness relates the intensity of a particular sound to its strength at the threshold of hearing, measured in decibels (dB).

Given expression for loudness

L = 10 log(I/I₀)

Loudness of two different sounds are

L₁ = 97 decibel and L₂ = 93 decibel.

Let the intensity for the loudness L₁ and L₂ are I₁ and I₂

Then,

L₁ = 10log(I₁/I₀) = 97

⇒ log(I₁/I₀) = 9.7

taking antilog

I₁/I₀ = antilog (9.7)

I₁/I₀ = 5011872336.27271

L₂ = 10log(I₂/I₀) = 93

⇒ log(I₂/I₀) = 9.3

taking antilog

I₂/I₀ = antilog (9.3)

I₂/I₀ = 1995262314.96888

Then,

(I₁/I₀)/(I₂/I₀) = 5011872336.27271/1995262314.96888

I₁/I₂ = 2.51188643 ≈ 2.5

Hence, 2.5 times more intense is 97 decibel sound than 93 decibel sound.

Learn more about intensity here:

https://brainly.com/question/30101270

#SPJ2

Answer:

3s + 5t = 779

Step-by-step explanation:

Answer:

3 5 779

Step-by-step explanation:

Answer:

2) 40

Step-by-step explanation:

the perimeter of Rhombus =

4 × (√(12/2)²+(16/2)² )

= 4× (√6²+8²)

= 4× (√100)

= 4×10

= 40

Q) 4 × (√(12/2)²+(16/2)² )

→ 4 × (√6²+8²)

→ 4 × (√100)

→ 4 × 10

→ 40 is the perimeter of rhombus.

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.

Answer:

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Step-by-step explanation:

Given

Original:

[tex]Height = 18, Slant = 30, Length =24[/tex]

Scaled:

[tex]Height =6, Slant=10, Length=8[/tex]

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

[tex]Scaled = \frac{1}{3} * Original[/tex]

Hence, the perimeter is:

[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]

Answer:

y = 0

Step-by-step explanation:

Let's use the addition method.

2x + y - 10 = 0

x - y - 5 = 0

Write the first equation as is. Write below it the second equation multiplied by -2 on both sides. Then add the equations.

         2x + y - 10 = 0

(+)     -2x + 2y + 10 = 0

--------------------------------

                 3y        = 0

Divide both sides by 3.

y = 0

Answer: y = 0

Answer:

5 x 2 - 8x + 4

5 x 2 - 24 + 4

10 - 24 + 4

-10

Answer: -10

Answer:

Hi, there for x it will be x=−2y+6

But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]

Hope this Helps :)

Step-by-step explanation:

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]

x=−2y+6

2.

Let's solve for y.

2x+4y=12

Step 1: Add -2x to both sides.

2x+4y+−2x=12+−2x

4y=−2x+12

Step 2: Divide both sides by 4

[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]

[tex]y=-\frac{1}{2} x+3[/tex]

Answer:

-8/5

Step-by-step explanation:

Using the points given ( -1,4) and (4,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -4 -4)/(4- -1)

    = (-4 -4)/(4+1)

    = -8/5

Answer:

.

Step-by-step explanation:

Answer:

y=mx+c

Step-by-step explanation:

Answer:

+ or > depending on what you mean exactly

Step-by-step explanation:

-7x<6-9

-7x<-3

x>3 (remember to flip the sigh)

the sign is the > symbol , or positive, not sure what you mean really

Answer:

False

Step-by-step explanation:

The hypotenuse is not either of the two legs but is opposite of the right angle.

Answer:

1/3 kilograms

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate

Answer:

Hello There!!

Step-by-step explanation:

Let the nisha be x and nishan be y. Your statement is x=2y.

x+y=21000

2y+y=21000

3y=21000

y=21000/3

y=7000

The amount of money nishan got=7000

The amount of money nisha got=2y=7000 ×2=14000

hope this help,have a great day!!

~Pinky~

Answer:

Step-by-step explanation:

D is the correct answer

Answer:

i think the new points are

A(1,-2)

B(-2,-3)

C(4,5)

Step-by-step explanation:

i plugged it in

Given:

Distance between two villages = 14 km

Map scale = 1:25000

To find:

The distance between the two villages on the map.

Solution:

Let the distance between the two villages on the map be x.

Map scale is 1:25000. So,

[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]

[tex]x=\dfrac{1}{25000}\times 14[/tex]

[tex]x=0.00056[/tex]

Therefore, the two villages are 0.00056 km apart on map.

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

First Box: -10/5

Second Box = -1.25

Third Box = -0.5

Fourth Box = 0.75

Fifth Box = 3/2

Step-by-step explanation:

NOTE: I AM SAYING THIS FROM LEFT TO RIGHT

Answer:

The first box should be -[tex]\frac{10}{5}[/tex] ;

The 2nd box should be -1.25 ;

The 3d box should be -0.5 ;

The 4th box should be 0.75 ;

The 5th box should be 3/2 which is the last box left.

Answer:

$1,608

Step-by-step explanation:

I think you have to do $70 x 24

Answer:

$1680

Step-by-step explanation:

For 1 ticket price=$70

For 24 ticket price=$70 x 24

=$1680

Answer:

B. 192.5 ft³

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

Answer:

25 times 12

300

divided by 2

150

times 22

3300 cubic ft