what is m<2? and what ism<4

Answer:

317 IS THE ANSWER

Step-by-step explanation:

The right answer is 317

please see the attached picture for full solution.

hope it helps

good luck on your assignment

Answer:

a. 2/5 and 2:3

b.  

c. 6

d. 40% and 60%

Step-by-step explanation:

a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is: 2.25 cups

c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups

d) 40% of the lemonade is lemon juice, and 60% is water.

e) She should increase the ratio to 3:2

f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is solved as:

1¹/₂ cups of lemon / water = 2/3

³/₂ cups of lemon / water = 2/3

Cross multiply to get:

water = 9/4

water = 2.25 cups

c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:

lemon juice / 9 = 2/3

Cross multiply to get:

lemon juice = 18 / 3

lemon juice = 6 cups

d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:

Lemon juice: (2/5) * 100% = 40%

Water: (3/5) * 100% = 60%

e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.

f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

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Answer:

I believe the answer will be 36 for the dog legs.

Step-by-step explanation:

first you get a calculator

then you type in 18 divided by 50

then you hit enter

then the answer will come up as 0.36

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

Answer:

(3x + 4)(2x - 5)

[tex]6x^{2}+7x-20=0[/tex]    =    (3x + 4)(2x - 5)

Hope this helped! Have a great day!

Answer:

A

Step-by-step explanation:

(-4-3, 7+7)

(-7, 14)

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The two angles given are vertical angles because they are opposite of each other

Hey!!

<a and <b are vertically opposite angles.

Vertically opposite angles are always equal.

Hope it helps..

Good luck on your assignment

Answer:

Pyramid

Step-by-step explanation:

Because a pyramid has a polygon as its base

Answer:

The correct answers are A. polyhedron. and C. pyramid

Step-by-step explanation:

Answer:

x = -32/3

y =28/3

Step-by-step explanation:

2x + 4y = 16

-5x-4y = 16

Add the equations

2x + 4y = 16

-5x-4y = 16

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

-3x = 32

Divide each side by -3

x = -32/3

Now solve for y

2x+4y = 16

2(-32/3) +4y = 16

-64/3 +4y = 16

Multiply each side by 3 to get rid of the fractions

-64 +3*4y = 16*3

-64 + 12y = 48

Add 64 to each side

12y = 112

Divide by 12

12y/12 = 112/12

y =28/3

Step-by-step explanation:

3x2 pls is this multiplication sign or it is (x)

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Answer:

84

Step-by-step explanation:

We can represent the money Emily has as x, and the money Juan as j.

x  = j + 19

Substituting 65 for j we get

x = 65 + 19

x = 84

Answer:

The measurements of the two angles are 67.5° and 112.5°

Step-by-step explanation:

We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.

3x + 5x = 180

Combine like terms.

8x = 180

Divide 180 by 8.

x = 22.5

Now, we plug in x to 3 and 5.

3 * 22.5 = 67.5

5 * 22.5 = 112.5

Just to make sure our work is correct, let's add these numbers together.

67.5 + 112.5 = 180

The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.

The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,

[tex]\dfrac{3}{5}=x[/tex]

As, these angles are supplementary to each other. Thus,

[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]

Thus, the measurement of the angle is,

[tex]3x=3\times22.5\\3x=67.5[/tex]

The measurement of the supplement of the angle is,

[tex]5x=5\times22.5\\5x=112.5^o[/tex]

Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

Learn more about the supplementary angle here;

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Answer:

x e [-10,-4]

Step-by-step explanation:

||x-5|+2|≤3

|x+5+2|≤3

|x+7|≤3

x+7≤3

x≤-4

x+7≥-3

x≥-10

x e [-10,-4]

Answer:

It’s actually C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cos150°

= - cos(180 - 150)°

= - cos30°

= - [tex]\frac{\sqrt{3} }{2}[/tex]

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

sin150°

= sin (180 - 150)°

= sin30°

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

The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.

To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.

cos(150°):

We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:

cos(150°) = -cos(30°) = -√3/2.

sin(150°):

We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:

sin(150°) = sin(30°) = 1/2.

Learn more about trigonometric values on:

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Answer:

fourth option

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )

Answer:

D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]

Step-by-step explanation:

Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.

sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.

Answer:

Step-by-step explanation:

To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:

f(x) = 2x^2 + 3x - 2

First, we factor out the coefficient of x^2:

f(x) = 2(x^2 + (3/2)x) - 2

Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:

f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2

Simplifying the expression inside the parentheses:

f(x) = 2[(x + 3/4)^2 - 9/16] - 2

Expanding the brackets and simplifying:

f(x) = 2(x + 3/4)^2 - 17/8

Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.

Hope that helps

Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

Answer:

yes

Step-by-step explanation:

Substitute the points into the equation

y =x

3=3

This is true so (3,3) is a solution

Answer:

C

Step-by-step explanation:

If you multiply by 100 u get C

Answer:

C

Step-by-step explanation:

To turn a number into a percentage, you must multiple it by 100.

Answer:

B

Step-by-step explanation:

Maya=10

Sam=3

Josh=12

Hope this helps.

: )

Answer:

im still alli

Step-by-step explanation:

Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]

Answer:

254.34 cubed centimeters

Step-by-step explanation:

Answer:

f(x)=√x f ( x ) = x is x≥0 x ≥ 0

Step-by-step explanation:

The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.

Answer:

Answer = decrease of 22 m/min