find the area of equilateral triangle of side 4 cm.​

Social Studies rate, S = 30/ 1.5 = 20pages/hr

Novel rate, N = 150/2 = 75pages/hr

Novel rate as a % of Social Studies rate...

N/S × 100% = 75/20 × 100% = 375%

percent of Ellie’s social studies reading rate is her Novel reading rate is 375%.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, it is given that :

Ellie read 30 pages of her social studies book in 1.5 hours at a constant rate, let first find Ellie's social studies reading rate :

rate = 30 pages/1.5 hours = 20 pages/ hr.

Now, to find out the unit rate, divide the total number of pages reading novel by the total time spent.

rate = 150 pages/ 2 hours = 75 pages/ hr.

To find out the percentage divide Ellie's novel reading rate by  Ellie's social studies reading rate and multiply by 100

percent of Ellie’s social studies reading rate is her Novel reading rate = 75/20 x 100 = 375%.

Therefore, percent of Ellie’s social studies reading rate is her Novel reading rate is 375%.

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Answer:

"The values for y are square roots of negative numbers"

Step-by-step explanation:

The steps shown are correct. But at the end we can see that we have to "take the negative square roots".

This means we have to take the square root of -1. In the real number system, we CANNOT take the square root of any negative number. Hence, there is NO SOLUTION to the system.

2nd answer choice, "The values for y are square roots of negative numbers", is right.

Answer:

11

Step-by-step explanation:

8 plus 3 i dunno know if it is forsure but yeah.

Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix

Answer:

[tex]\large\boxed{15x+42-8y+20-4x=11x-8y+62}[/tex]

Step-by-step explanation:

[tex]15x+42-8y+20-4x\\\\\text{combine like terms}\\\\=(15x-4x)-8y+(42+20)\\\\=11x-8y+62[/tex]

You add like terms together.

Ex. You would add 15x and(-4x) together, giving you 11x

So to simplify it, you need to do 15x-4x, 42+20, and 8y would be left by itself since there are no like terms for 8y.

So the simplified version would be: 11x+62+8y

Final answer:

The density of the laptop is calculated by dividing the mass (2,300 grams) by the volume (2,850 cubic centimeters), resulting in a density of 0.807 g/cm³, which is approximately 46/57.

Explanation:

To find the density of the laptop in grams per cubic centimeter (g/cm³), we use the formula density = mass/volume. The mass of the laptop is given as 2,300 grams and the volume is given as 2,850 cubic centimeters. By substituting into the formula:

Density = Mass / Volume = 2,300g / 2,850cm³ = 0.807 g/cm³.

When expressed as a fraction in simplest form, this is approximately 46/57 (since 0.807 ≈ 46/57). Hence, the answer is D. 46/57.

The slope is

[tex] - \frac{1}{3} [/tex]

The area is 168 yd²

The area of Trapezoid is given by

A= (a+b)/2 * h

Putting the values

A = (5+23)/2 * 12

A = 168 yd²

Answer:

A = 168 Square Yards

Yea it’s the second one

Set it up.

Make the equations equal to 180° because they are on a straight line. And a straight line adds up to 180°

Answer:

342

Step-by-step explanation:

Let's see the difference is each successive values:

232 - 217 = 15

252 - 232 = 20

277 - 252 = 25

307 - 277 = 30

As we can see, each month the increase is 5 more than previous months' increase. Clearly from the pattern we can surmise that the next month (August), it will increase by 35 from the value of July.

Number of visitors in August = Number of Visitors in  July + 35 = 307 + 35 = 342

Answer:

342

Step-by-step explanation:

Answer:

(6y+17)

Step-by-step explanation:

1. Subtract 4y from 10y to get 6y

2. 9 is positive and 8 is negative but to subtract a negative is basically adding so you would add 9 to 8

3. You final equation would be (6y+17)

4. (10y+9)-(4y-8)= (6y+17)

Answer:

Step-by-step explanation:

[tex](10y+9)-(4y-8)\\\\=10y+9-4y-(-8)\\\\=10y+9-4y+8\qquad\text{combine like terms}\\\\=(10y-4y)+(9+8)\\\\=6y+17[/tex]

Answer

x^2 + 4x - 49

Step-by-step explanation:

you have to do PEMDAS first then add all the like-terms

hope this helps

p.s. you're pretty

Answer:

y = 54.1

Step-by-step explanation:

The big triangle is divided in two: one on  the left and one on the right. Lets start working with the right one.

We know the right triangle is a right triangle with legs 24 and 36, so we can use Pitagoras to find the hypotenuse (h), in a way that:

24^2 + 36^2 = h^2

1872 = h^2

Applying sqr root in both sides:

h = 43.27

So, the hypotenuse measures 43.27 or 43.3.

Now lets do the same with the triangle of the right which legs are 36 and y, lets find it hypotenuse (g):

36^2 + y^2 = g^2

1296 + y^2 = g^2

Now we will pass to the large triangle, which is composed by the left and the right triangles and has legs of 43.3 and g, and the hypotenuse is 24+y. Lets apply Pitagoras:

43.3^2 + g^2 = (24+y)^2

1875 + 1296 + y^2 = 24^2 + 48y + y^2

3171 + y^2 = 576 + 48y + y^2

As we have y^2 in both sides we can eliminate them

3171 + = 576 + 48y

Now subtract 576 in both sides:

3171 -576 = 576 + 48y - 576

2595 = 48y

Divide both sides by 48:

2595/48 = 48y/48

54.1 = y

So, the large hypotenuse measures 54.1+24 = 78.1. Lets verify:

43.3 ^2 + 1296 + 54.2^2 = 6,108.53

And the sqrd root of 6,108.53 is approximately 78.1. Verified!!!!

So, we can confirm: y = 54.1

Answer:

81 is the answer

Step-by-step explanation:

Answer:

Hold up im solving it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Unfortunately not...

The shape is a triangle, and the area formula is A=[tex]\frac{1}{2}[/tex]bh.

b = 5 ft.

h = 4 ft.

Therefore:

A = [tex]\frac{1}{2}[/tex](5)(4)=10ft

Answer:

(x+1)(x2+1)

Step-by-step explanation:

Factor x3+x2+x+1

x3+x2+x+1

=(x+1)(x2+1)

also a great website for your problems is called mathpapa-algebra calculator

(6, -5)

(5, -6) --> (-5, 6)

Hope this helps!!

I'd right the key concepts for future reference!

:D

Answer:

(6,-5)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We will solve the equation by using quadratic formula.

x=  (-b ± √(b^2-4ac))/2a

The standard form of quadratic equation is:

ax^2+bx+c=0

So by comparing with the standard form, we get:

a=1

b= -4

c=18

Putting the values in the formula

x=  (-(-4)± √((-4)^2-4(1)(18)))/2(1)  

x =  (4± √(16-72))/2

x =  (4± √(-56))/2

The minus sign in square root will introduce the imaginary symbol.  

x =  (4± √(14*4*(-1)))/2

The minus 1 can be replace by the imaginary i => i^2 = -1

x =  (4± √(14*2^2*i^2 ))/2

The terms with squares can be brought out of the square root

So,

x =  (4± 2i√14)/2

Taking 2 as common

x =  (2(2± i√(14)))/2

x = 2± i√14

f(0) equals 0. When x is 0 in the given function, the result of f(x) is also 0.

To find the value of f(x) when x=0 for the function f(x) = -1x, substitute 0 for x:

f(0) = -1(0) = 0.

Therefore, f(0) equals 0. When x is 0 in the given function, the result of f(x) is also 0.

➷ Find the total number of pens:

5 + 3 + 2 = 10

The probability of taking a red the first time is 5/10

The probability of taking a blue the first time is 3/10

The probability of taking a green the first time is 2/10

If you want to take the same colored pen again, there would be 1 less of the total pen (as it hasn't been replaced) and there would be one less of that color (as one has already been taken)

Therefore:

The probability of taking a red again is 4/9

The probability of taking a blue again is 2/9

The probability of taking a green again is 1/9

Multiply the values for the same color together:

5/10 x 4/9 = 20/90

3/10 x 2/9 = 6/90

2/10 x 1/9 = 2/90

Add these values together:

20/90 + 6/90 + 2/90 = 28/90

Your answer is 28/90

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Answer:

Step-by-step explanation:

Let "e" represent the number of pounds of Earl Grey tea required for the mix. Then (600-e) is the number of pounds of Orange Pekoe tea required. The total cost of the mix is ...

  6·e + 4·(600 -e) = 4.50·600

  2e = 600·(4.50 -4.00) . . . . . simplify, subtract 4·600

  e = 300/2 = 150 . . . . . . . . . . divide by the coefficient of x

Required are 150 pounds of Earl Grey and 450 pounds of Orange Pekoe.

The amount of Earl Grey and Pekoe tea required for the new blend is :

Price of new blend per pound = $4.50

Price per pound of Earl tea = $6

Price per pound of Pekoe tea = $4

Let :

Pound of Earl tea = a

Pound of Pekoe tea = b

Converting the information to Mathematical expressions :

From (1):

a = 600 - b

Put a = 600 in (2)

6(600 - b) + 4b = 2700

3600 - 6b + 4b = 2700

Collect like terms :

-6b + 4b = 2700 - 3600

-2b = -900

b = 900 ÷ 2

b = 450

Recall :

a = 600 - b

a = 600 - 450

a = 150

Therefore,

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Answer:

[tex]\large\boxed{h=10\dfrac{2}{7}}[/tex]

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

We ahve b = 14 and A = 72. Substitute:

[tex]72=\dfrac{14h}{2}[/tex]             multiply both sides by 2

[tex]144=14h[/tex]          divide both sides by 14

[tex]h=\dfrac{144}{14}\\\\h=\dfrac{144:2}{14:2}\\\\h=\dfrac{72}{7}\\\\h=10\dfrac{2}{7}[/tex]

Answer:

200ml

Step-by-step explanation:

5+2+3=10

400/10=40

Since lemon's ratio is 5, you multiply 40 by 5 to get 200.

Answer:

NO

Step-by-step explanation:

To find if they are equivalent, we need to simplify them first.

Using the distributive property we get:

6(4x-5) = 24x - 30

In this case we need to combine like terms.

3 + 22x - 33 - 2x =  20x - 30

So now we can compare.

24x - 30 ≠ 20x - 30

So we can conclude that the two expressions are not equal because 24x - 30 and 20x - 30 are obviously not equal.

Answer:

Not equivalent

Step-by-step explanation:

We are given an expression [tex] 6 ( 4 x - 5 ) [/tex] and we are to check if it is equal to [tex] 3 + 22 x - 33 - 2 x [/tex] or not.

Evaluation the given expression first:

[tex] 6 ( 4 x - 5 ) = 24 x - 30 [/tex]

While adding the terms in [tex] 3 + 22 x - 33 - 2 x [/tex], we get:

[tex] 22 x - 2 x - 33 + 3 = 20 x - 30 [/tex]

[tex] 24 x - 30 \neq 20 x - 30 [/tex]

Therefore, [tex] 6 ( 4 x - 5 ) [/tex] is not equivalent to [tex] 3 + 22 x - 33 - 2 x [/tex].

Answer:

1 mile

Step-by-step explanation:

Johnny currently owns fewer than 200 records.

Let's denote:
- \( x \) as the number of records Johnny currently owns.

Given:
- Gina has 400 records.
- Johnny would still have fewer than Gina has if he were to double the number of records he owns.

We can set up the following inequality:

[tex]\[ 2x < 400 \][/tex]

To find the maximum value of \( x \), we solve for it:

[tex]\[ x < \frac{400}{2} \]\[ x < 200 \][/tex]

So, Johnny currently owns fewer than 200 records.

answer = 42

if you look at the triangle you see a small square in the corner indicating that the triangle is a 90 degree angle, therefore all the sides add up to 90. With this knowledge just add the values of the two known sides, 18 and 30, which is 48 and then subtract 48 from 90 which gives you the value of x, 42

Answer:

The solution is [tex]x=6\ cm[/tex]

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

we have

[tex]A=56\ cm^{2}[/tex]

so

[tex]56=LW[/tex] ------> equation A

[tex]L=x+2[/tex] -----> equation B

[tex]W=2x-5[/tex] -----> equation C

Substitute equation B and equation C in equation A

[tex]56=(x+2)(2x-5)[/tex]

solve for x

[tex]56=(x+2)(2x-5)\\56=2x^{2}-5x+4x-10\\2x^{2}-x-66=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]  

in this problem we have

[tex]2x^{2}-x-66=0[/tex]  

so

[tex]a=2\\b=-1\\c=-66[/tex]

substitute in the formula

[tex]x=\frac{1(+/-)\sqrt{-1^{2}-4(2)(-66)}} {2(2)}[/tex]

[tex]x=\frac{1(+/-)\sqrt{529}} {4}[/tex]

[tex]x1=\frac{1(+)23} {4}=6[/tex]

[tex]x2=\frac{1(-)23} {4}=-5.5[/tex]  

The solution is [tex]x=6\ cm[/tex]

[tex]L=6+2=8\ cm[/tex]

[tex]W=2(6)-5=7\ cm[/tex]

Answer:

x = -17

Step-by-step explanation:

Divide both sides by two and get:

x = -17

Answer:

x=-17

Step-by-step explanation:

-2x=34

-2x/-2=34/-2

x=-17