Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

Answer:

56

Step-by-step explanation:

cross multiply

0.06z - 0.36 = 3

0.06z = 3.36

z = 56

Answer:

-11, f(-5)    1

Step-by-step explanation:

Answer:

67 hah why you solve this

[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]

Answer

in think it's (C)

Step-by-step explanation:

Answer:

c.19 = 13 + 5

Step-by-step explanation:

[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]

Answer:

It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.

Step-by-step explanation:

To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes

(divide by 60 to convert to minutes)

Answer:

20.50609665

around 20.506

Answer:

[tex]5x^2 + 3x - 2[/tex]

This answer is correct because I simplified using like terms.

Step-by-step explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

          [tex]ax^2[/tex]     and    [tex]2ax^2[/tex]    are like terms because they have the base  [tex]ax[/tex]

Step 1: Move like terms together

First, let's remove all parenthesis:

[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]

Now let's move all like terms together:

[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K

Answer:

3x + 3

Step-by-step explanation:

yeah-ya........ right?

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

Amount of interest = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

Amount to be paid = Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

Learn more about interest rate:

https://brainly.com/question/1115815

The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Simple interest is a finance charge that does not compound.  It is calculated on the principal portion of a loan only.

The formula for computing simple interest is Principal x APR x Number of years.

Car loan = $25,000

Simple interest rate = 4%

Period of loan = 1 year

Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).

Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Learn more about simple interests at https://brainly.com/question/25793394

Answer:

The area of real patio is 50m².

Step-by-step explanation:

Given,

Length of patio = 3 cm

Width of patio = 6 cm

According to scale =

3 cm = 5m

1 cm = \frac{5}{3}\ m35 m

6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m

Real length of patio = 5 m

Real width of patio = 10 m

Area = Length*width

\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}

Area=5∗10Area=50 m2

The area of real patio is 50m².

Answer:

C.

Ax + 1 = x A + 1

Bx + 2 = x B + 2

Cx + 3 = x C + 3

A = x C + 3

B = x C + 3

C = x C + 3

I'm not really sure about the answer but i hope it helps

Answer:

From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value

changed at a steady rate of -6.4 points per hour.

Answer:

B.

Step-by-step explanation:

Adding 0 to 6 gives the same value (6).

Zero is called the Identity element of Addition,

Answer:

Adult males are flame-orange and black, with a solid-black head and one white bar on their black wings. Females and immature males are yellow-orange on the breast, grayish on the head and back, with two bold white wing bars

Answer:

it's 11

Step-by-step explanation:

Answer:

360 people

Step-by-step explanation:

[tex]\frac{ 210}{525}*900[/tex][tex]=360[/tex]

Hope this helped! :)

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from given graph.

Point (0, -1)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

The equilibrium price of the commodity at the given demand and supply is 1,000.

The given parameters:

The equilibrium price of the commodity is calculated as follows;

At equilibrium price, the demand curve and supply curve cross each other.

[tex]QS= QD\\\\15,000 +2P = 20,000 - 3P\\\\2P+3P = 20,000 - 15,000\\\\5P = 5,000[/tex]

[tex]P = \frac{5,000}{5} \\\\P = 1,000[/tex]

Thus, the equilibrium price of the commodity is 1,000.

The complete question is below;

Determine the equilibrium price, if QD = 20000 -3P  and QS = 15000 +2P.

Learn more about equilibrium price here: https://brainly.com/question/22569960

Answer:

a=3

Step-by-step explanation:

you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again

Answer:

a=3

Step-by-step explanation:

Answer:

1: Out: 5, 8, 11, 14

2: Out: 2, 7, 10, 11

3: Out: 11  Rule: Add 4

4: Out: 6  Rule: Add 4

Here is one way to show that the left side is identical to the right side.

[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]

Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.

Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".

like my answer and brainliest