Solve by using distributive property.

-3(m - 2) = 21

Answers

Answer 1

Answer:

m=-5

Step-by-step explanation:

distribute -3: -3m+6=21

subtract 6 from both sides: -3m=15

divide by negative three: m=-5

Answer 2

Answer:

m = -5

Step-by-step explanation:

-3(m-2)=21

-3m + 6 = 21

-3m = 15

         15

m = --------

         -3

m = -5


Related Questions

HELP!
Find the area of triangleABC to the nearest tenth.

Answers

Answer:

62.3 units²

Step-by-step explanation:

We would apply the formula for area of a triangle given an included angle, which is A = ½*ab*sin C

Where,

a = 11

b = 14

C = 54°

Substitute

Area = ½*11*14*sin 54

Area = 62.2943085 ≈ 62.3 units² (nearest tenth)

Ethan Purchased A new cell phone for $75.00. The cost of the phone is included in his first months bill. His cell phone plan charges $0.06 for each minute used. If Ethan has $90.00 to spend on his first month bill, what is the maximum Number of minutes he can use?

Answers

Answer:

he had $90

he bought a phone for $75

90-75=15

he has $15 now

15÷0.06=1500÷6=250 minutes

Marie is a college professor. Her annual salary is $66,000.

Answers

Answer:

I'm confused as to what your asking.

Has anyone done IXL N.2 7th grade, can you help me!!!

Answers

Okay... let’s see if I remember this! So... first off, convert the whole number into a fraction. To do this, we would need to multiply the number (20) by 2, since the denominator is 2, and then add it to the 1/2 we already have.

= 41/2 × 3/4

Then, put the fractions formula for multiplication into play... (numerators on top, denominators on bottom)

41 × 3
= ————
2 × 4

This would equal 123/8.

Now, we aren’t done yet. To get our final answer, we would to simplify 123/8 to the point where it can’t be any more simple. (For example, if we had 2/2, we would have to simplify that because 2/2 = 1. We wouldn’t be able to simplify the 1 any more than that, making 1 the final answer.) I’ll just do the math for you here. 123/8 simplified completely is 15 3/8.

( 123/8 = 15 3/8.)

I kind of went into detail just in case you were having trouble with these kinds of problems, which I hope isn’t too much of a problem!! Have a good day and I hope this helps :)

work out the perimeter of this semicircle, take pie to be 3.142
radius= 10cm

Answers

Answer:

30 cm

Step-by-step explanation:

Perimeter = (half the circumference) + (twice the radius)

                 = (1/2)(2·10 cm)                   +  2(10 cm)

                 = 10 cm + 20 cm

                  = 30 cm

How do you solve 3.16 divided by 0.04?
Sorry i couldn't use the divison sign because i'm using a computer.

Answers

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

You have a $1 bill, a $5 bill, a $10 bill, a $20 bill, a quarter, a dime, a nickel, and a penny. How many different total amounts can you make by choosing 5 bills and coins?

Answers

Ion know but good luck 12

8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.

Answers

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, -3)

Point (2, 1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(2--1)^2+(1--3)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(3)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{9+16}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 5[/tex]

PLEASE HELP

x = ___ units

Answers

Answer:

x = 16 units

Step-by-step explanation:

∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

Side opposite of 90° [∆BCD] = BC = 32.

Since x is opposite of 30° [∆BCD].

x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.

Help! Will mark brainiest sorry its pretty blurry

Answers

Answer:

As temp. increases, sales increse

Step-by-step explanation:

PLEASE HELP ME FIGURE OUT WHICH ONE I GOT WRONG, TYSMM :)

Answers

Answer:

da one in the middle and i do relize this is a test becuse i just took it.

Step-by-step explanation:

************ This is to help others on their project
Part 1: Determine the limits of a function given a graph.
Determine the limits and outputs of the plotted function.

Answers

Answer:

This is correct. Thank you!!

Step-by-step explanation:

Answer:

she is right and I added few pages that are hard to read here

Step-by-step explanation:

bye good luck :)

Solve this System of equation 3c+6d=18 6c-2d=22

Answers

Answer:

[tex]3x + 6y = 18 \: \: \: \\ + \\ 3 \times (6x - 2y = 22) \: \: \: 18x - 6y = 66 \\ \\ 21x = 84 \\ x = \frac{84}{21} = 4[/tex]

c=x=4

d=(18-3×4)÷6=6÷6=1=y

‼️‼️‼️help me answer ‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

1. Is b

2. Is c

3.is a

Step-by-step explanation:

Brainliest pls

Answer:

number 10 is $60 and 11 is 8 hours

Step-by-step explanation:

i can only help you on 10 and 11

Sammy is moving and has two boxes to fill. What is the total volume (in cubic feet) that Sammy has between the two boxes? *

Answers

Answer:

Is there an image or even numbers to work with?

Step-by-step explanation:

Answer:

where are the numbers?

Points A and B lie on a circle with radius 1, and arc AB ⌢ has a length of [tex]\frac{\pi }{3}[/tex]. What fraction of the circumference of the circle is the length of arc AB ⌢?

Answers

Answer:

Solution given:

arc AB :angle=[tex]\frac{\pi }{3}[/tex]=60

radius[r]=1

Now

we have

Circumference the circle is the length of arc AB ⌢:[tex]\frac{arc AB }{360}2\pi*r[/tex]

:

[tex] \frac{180}{3} \div 360 \times 2\pi \: \times 1[/tex]

=⅓π or 1.047units

Note:

For angle π=180

For length π=[tex]\frac{22 }{7}[/tex].

L

Ø/360×2πr

π/3=60°

L=60/360×2π(1)L=1/6×2πL=π/3L=1.047units

Find the value of x and show all steps pretty please

Answers

Answer:

[tex]x=136[/tex]

Step-by-step explanation:

[tex]using ~ intersecting ~chords ~ angle ~theorem[/tex]

[tex]x=\frac{142+130}{2}[/tex][tex]x=\frac{272}{2}[/tex][tex]x=136^o[/tex]

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

hope it helps...

[tex] \small \fbox \pink{By using intersecting chords angle property }[/tex]

[tex] \sf{x = \frac{142 + 130}{2} }[/tex]

[tex] \implies \sf{x = \frac{272}{2} }[/tex]

[tex] \boxed {x = 136 °}[/tex]

________________

Thank You :)

Hope it helps uh !!

The drawing shows a stack of alternating cups. The cups are 9.2 cm high. How many cups will fit in a door that is 211.77 cm high?

Answers

Answer:

The total number of whole cups that we can fit in the dispenser is 25

Step-by-step explanation:

It is given that the height of each cup is 20 cm.

But when we stack them one on top of the other, they only add a height of 0.8 to the stack.  

The stack of cups has to be put in a dispenser of height 30 cm.

So we need o find out how many cups can fit in the dispenser.

Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser

So,

30 - 20 = 10 cm

To stack the other cups we have 10 cm of height remaining

As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.

10 + 0.8x = 30

0.8x = 20

x = 25

The total number of cups that we can fit in dispenser is 25

A teacher listed 28,30,32 and 36 as ages of the students in his class with frequencies 8,10,5 and 7 Respect Respectively....... A:how many students were in the class ? B: what was the average age of the class? C: what was the range for the students? D:what was the modal age?​

Answers

gawd daym that's a lot of students  

Answer:

A: There are 30 students in the class.

B: The average age of the class is 31.5.

C: The range goes from age 28 to age 36.

D: The modal age is 30.

Step-by-step explanation:

A: 8+10+5+7 = 30.

B: 8 + 30 + 32 + 36 = 126

    126/4 = 31.5

C: Lowest age is 28 and highest is 36, making that the range for students' ages.

D: The most frequently appearing age in the study is 30, which makes 30 the modal age.

Madelyn earned $784 dollars
babysitting last year. If she charges
$14 per hour, how many hours did she
babysit? 784 divided by 14 and show your work

Answers

Answer:

56 hours

Step-by-step explanation:

Divide:

   $784

-------------- = 56 hrs

($14/hr)

She babysat for 56 hours to earn that $784.

URGENT HELP-
Convert an area of 6m^2 into CM^2

Answers

Answer:

Step-by-step explanation:

In cm 2= 60000

Simplify sec^2x-tan x-3

Answers

Sec^2x-tan x-3 = RED IS SUS

[tex]\huge\longmapsto\mathfrak{Answer}[/tex]

=》

[tex] \sec {}^{2} (x) - tan(x) - 3[/tex]

=》

[tex] \tan {}^{2} (x) + 1 - \tan(x) - 3[/tex]

=》

[tex] \tan {}^{2} (x) - \tan(x) - 2[/tex]

=》

[tex] \tan {}^{2} (x) - 2\tan(x) + \tan(x) - 2[/tex]

=》

[tex] \tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2) [/tex]

=》

[tex]( \tan(x) + 1)( \tan(x) - 2)[/tex]

so,

case - 1

=》

[tex] \tan(x) = - 1[/tex]

case - 2

[tex] \tan(x) = 2[/tex]

Help PLEASE MUCH APPRECIATED!!! No websites please❤️

Answers

Answer:

67 degrees

Step-by-step explanation:

Answer: 67

Step-by-step explanation: there all parallel to one another right and y and z are right beside each other therefore the same distance from M

A bag contains four red marbles and six blue marbles.
Another bag contains eight green marbles and five
yellow marbles. You randomly pick one marble from
each bag. What is the probability that one marble is red and one marble is yellow?

Answers

Answer:

4/6 and 5/8

Step-by-step explanation:

evaluate 9 m+7 n if m=-7 and n=4

Answers

Answer:

the answer is -35

Step-by-step explanation:

9x-7 =-63, 7x4=28. -63+28=-35

Express as a trinomial ??

(2x-5)(2x-1)

Answers

Answer:

is it like this?

Step-by-step explanation:

(2x-5)(2x-1)

2x(2x-1)-5(2x-1)

4x²-2x-10x-5

4x²-12x-5

that is the final answer

Given, expression is not trinomial.

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

To express the expression (2x-5)(2x-1) as a trinomial,

we need to multiply the two binomials together using the distributive property.

We can use the FOIL method to do this:

(2x-5)(2x-1) = 2x(2x) + 2x(-1) - 5(2x) - 5(-1)

Simplifying this expression, we get:

(2x-5)(2x-1) = 4x² - 2x - 10x + 5

Combining like terms, we get:

(2x-5)(2x-1) = 4x² - 12x + 5

Since, trinomial is ax³ +bx² +cx +d in standard form where a can not be zero.

Therefore, the binomial form of (2x-5)(2x-1) is 4x^2 - 12x + 5, and given, expression is not trinomial.

Learn more about Polynomials here:

https://brainly.com/question/11536910

#SPJ2

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.

Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.


12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.


What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches

Answers

Answer:

The answer is A, 1/729

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

James had a rectangular box of popcorn. The height of the box was 6 inches and the base had an area of 9 square inches. When some of the popcorn was eaten, James noticed the popcorn was only 1/2 the height of the box. What is the volume of the popcorn when the box is 1/2 full?

Answers

Answer:

it has 3/4

Step-by-step explanation:

For trans thanks for helping me your the best

Answers

Answer:

x = 58.5 m

Step-by-step explanation:

Let us use sine law to find the length of the yellow cable. Note that a cable of length 64 m is directly opposite the 112° angle and the 58° angle is directly opposite the unknown cable length. We can the set up our sine law as follows:

[tex] \frac{x}{ \sin(58) } = \frac{64 \: m}{ \sin(112) } [/tex]

Solving for x,

[tex]x = \frac{ \sin(58) }{ \sin(112) } \times (64 \: m) = 58.5 \: m[/tex]

A man and a woman share a prize
of $1,000
between them in the ratio 1:3 . The women shares her part
between herself
, her mother and her daughter in the
ration 2:1:7. How much does her daugter receiv?

Answers

Step-by-step explanation:

What type of line the picture represent

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