Sara says, "If you subtract 12 from my number and multiply the difference by - 3, the result is
- 45." What is Sara's number?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

Let Sara's number be [tex]x[/tex]. Now, we can build an equation.

We have that [tex]-3(x-12)=-45[/tex]. Aha! Now we have a path to the solution!

We can divide both sides of the equation by [tex]-3[/tex] to get [tex]x-12=15[/tex].

Lastly, we add [tex]12[/tex] to both sides to get [tex]x=27[/tex].

So, Sara's number is [tex]\boxed{27}[/tex].


Related Questions

Which shows the correct expression and answer for solving 1.8 x 1.2 with partial products?

Answers

Answer:

Step-by-step explanation:

1.8 x 1.2 = 2.16

Answer:

the answer is C

Step-by-step explanation:

I had this test before

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78
B) 32
C) 14
(Explain your work)

Answers

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

[tex]a_4=a_1+(n-1)d[/tex]

Therefore

For seventh term

[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]

Therefore

For Fourth term

[tex]a_4=23+(3*(-3))[/tex]

a_4=14

For more information on this visit

https://brainly.com/question/23366835

find csc θ and sec θ if cot θ= 3/2 and cos θ>0​

Answers

Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:

cot(θ) = cos(θ)/sin(θ) > 0   ===>   sin(θ) > 0

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Multiplying both sides by 1/sin²(θ) yields another form of the identity,

sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)

1 + cot²(θ) = csc²(θ)

so that

csc(θ) = + √(1 + cot²(θ))

csc(θ) = √(1 + (3/2)²)

csc(θ) = √13/2

By definition of cosecant, we have

csc(θ) = 1/sin(θ)

so that

sin(θ) = 2/√13

Then using the Pythagorean identity once more, we have

cos(θ) = + √(1 - sin²(θ))

cos(θ) = √(1 - (2/√13)²)

cos(θ) = 3/√13

so that, by definition of secant,

sec(θ) = 1/cos(θ)

sec(θ) = √13/3

Evaluate.

(jk−1) ÷j when j=−4 and k=−0.8

Enter your answer as a decimal in the box.

Answers

Step-by-step explanation:

(jk−1) ÷j

[(-4)(-0.8) -1] ÷ (-4)

=[ 3.2 -1] ÷ (-4)

=2.2 ÷ (-4)

= -0.55

The solution of the expression "[tex]\frac{jk-1}{j}[/tex]" is "-0.55".

The given values are:

j = -4k = -0.8

→ [tex]\frac{jk-1}{j}[/tex]

By putting the value of "j" and "k" in the given expression, we get

→ [tex]\frac{(-4)(-0.8)-1}{-4}[/tex]

By solving the brackets, we get

→ [tex]\frac{3.2-1}{-4}[/tex]

→ [tex]\frac{2.2}{-4}[/tex]

→ [tex]-0.55[/tex]

Thus the above response is correct.

Learn more:

https://brainly.com/question/25032806

Which of the following graphs represents a function? Choose all that apply.

Answers

the one with the vertical parabola and the one with the straight line

Please help!!!
Solve for X

Answers

Answer:

[tex]x = - \frac{1}{56} [/tex]

Step-by-step explanation:

-x/56x = 2

-1/56 = 2

x = -1/56

What is 4/9 increased by 1/3 ?​

Answers

Answer:

7/9

Step-by-step explanation:

4/9 + 1/3

*Multiply top and bottom by 3

4/9 + 3/9

= 7/9

Please help me answer this question

Answers

Answer:

option D is right answer

i.e. _

BC

find the slope of (1,-11) and (-2,-4)

Answers

Answer:

The slope of (1,-11) should be 3 and the slope of (-2,-4) should be 0

Step-by-step explanation:

Actually im unsure please dont use this I thought I knew!

165÷11
I'm not sure sure I had got R15

Answers

Answer:

165/11= 15

Step-by-step explanation:

I used a calculator

9x - 5 = 7x + 3 Please help and explain step by step I really don’t understand I’ll mark brainliest

Answers

Answer:

x=4

Step-by-step explanation:

Equation:   9x-5=7x+3

Add 5 on both sides: 9x=7x+8

Subtract 7x from both sides: 2x=8

Divide 2 from both sides: x=4

Answer:

4

Step-by-step explanation:

9x - 5 = 7x + 3

2x = 8

x=4

just a little algebra.

find the perimeter of rectangle.

Answers

Answer:

it depends on how big the rectangle is though...

Step-by-step explanation:

Answer:

6x + 10

Step-by-step explanation:

Given,

Length ( l ) = 3x

Breadth ( b ) = 5

To find : Perimeter of the rectangle = ?

Formula : -

Perimeter of the rectangle = 2 ( l + b )

Perimeter of the rectangle

= 2 ( 3x + 5 )

= 2 ( 3x ) + 2 ( 5 )

= 6x + 10

Solve for x. x/3 < -6

-

Answers

Answer:

x < -18

Step-by-step explanation:

x/3 < -6

3 × x/3 < 3 × (-6)

x < 3 × (-6)

x < -3 × 6

x = -18

detailed explanation and answer please 20 points

Answers

Step-by-step explanation:

The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76

So the answer is the bottom one. P=76 and A=330

List all the terms in the expression below 6X -10 Y +13 +5z

Answers

6x, 10y, 13, 5z is the answer because terms include coefficients, variables and constants.

PLEASE HELP ITS MATH THANK YOUUUU

Answers

The answer is 5.6 miles!

Samantha spent 40 minutes on homework sixty percent of that time was spent on language arts how many minutes were spent in language art

Answers

Answer:

i think its b.24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

Samantha spent 24 minutes on language arts.

Step-by-step explanation:

So, 60% = 3/5.

Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:

3/5 = x/40

Since we know 5 x 8 = 40, we would also multiply the numerator by 8.

3 x 8 =24.

So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.

Sabrina bought cookies and brownies for her party. She bought a total of 20 items. The cookies cost $1.50 each and the brownies cost $1 each. The total amount that she spent was $22.50. Write two equations to represent the situation. Use x for cookies and y for brownies.

Solve the equations and determine how many cookies and brownies she bought. Write the answer as an ordered pair. (x,y)

Answers

Answer:

Equation 1 is:

Step-by-step explanation:

Which two numbers on the number line have an absolute value of 1.25?



Select the location of both numbers on the number line.

Answers

Answer:

-1.25

Step-by-step explanation:

Mae read a 403-page book in 13 hours. at this rate , how long will it take her to read a 248-page book?​

Answers

Answer:

8 hours

Step-by-step explanation:

Number of pages read in 1hour = 403 / 13 = 31 pages

Time taken to read 248 page book = 31 x 8 = 248

It takes 8 hours to read 248 pages book

Please help with the homework please thanks

Answers

I have written the answers and the steps on a piece of paper.

Question:
Ten students each submit one essay for competition.
In how many ways can the first, second, and third prizes be awarded?
NEED FULL EXPLANATION!!!
NO LINKS!!!
PLEASE!!!!

Answers

what is happend here haha

Answer:

720 ways

Step-by-step explanation:

First place has 10 choices. First prize is chosen. So, 9 students are left.

Second place has 9 choices.

First and second prizes are chosen. Now 8 students are left

Third place has 8 choices.

Total ways = 10 * 9 * 8 = 720 ways

Find m angle C
A. 150
B. 140
C. 137
D. 122

Answers

Answer:

The answer is A

hope it helps u

plz i need help walk me through it, thanks​

Answers

Answer:

[tex]p=36^{\circ}[/tex]

Step-by-step explanation:

We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].

Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].

We combine like terms on the left side to get [tex]p+144=180[/tex].

We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].

So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!

PLEASE HELPPP YOU HAVE TO CHOOSE ABOUT 3 ANSWERS!!

Answers

Answer:

C, D, G

Step-by-step explanation:

The Jeans dried due to a process called vaporization where water evaporates into the atmosphere into a steam like form, however this answer wasn't available so C, D, G would be your best bet.

Answer:

c , d , g ,

bcaz this three options r for sure correct

Solve 2^2 + x - 4 = 0.

Answers

Answer:

x=0

Step-by-step explanation:

2^2 + x - 4 = 0

2^2 = 4

4+x-4 = 0

Combine like terms

x=0

Question 9: Sorry its blurry. Plz help ASAP

Answers

Answer:

a and c

Step-by-step explanation:

The first and the last one
I hope this helps you

The arithmetic mean of ten numbers is -10. If the sum of six of the numbers is 100, what is the arithmetic mean of the other 4?

Answers

Answer:

56

Step-by-step explanation:

Arithmetic mean is simply the sum of the all the number present divide by the total number.

From the question, we obtained the following information:

The arithmetic mean = 5.6

Total number present = 10

Sum of the numbers =?

Arithmetic mean = sum of the numbers / total number

Sum of the numbers = arithmetic mean x total number

Sum of the numbers = 5.6 x 10 = 56

The sum of the other four numbers is equivalent to -200.

What is a mathematical function, equation and expression?            function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the arithmetic mean of ten numbers is -10. The sum of six of the numbers is 100.

We can write -

{a + b + c + d + e + f + g + h + i + j}/10= - 10

{a + b + c + d + e + f + g + h + i + j} = - 10 x 10

{a + b + c + d + e + f + g + h + i + j} = - 100    .... Eq{1}

and

{a + b + c + d + e + f} = 100             .... Eq{2}

We can write Eq{1} as -

{a + b + c + d + e + f} + {g + h + i + j} = - 100

100 + {g + h + i + j} = - 100

{g + h + i + j} = - 100 - 100

{g + h + i + j} = - 200

Therefore, the sum of the other four numbers is equivalent to -200.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Hi! ❤️ there looking for help on this giving brainliest if able to.

Answers

Answer:

true......................

The first two should be true and the second two should be false. I am sorry if I am incorrect but I am almost positive that is correct.

Hope this helps :)

Part 2: Write a rule to describe each transformation

NO LINKS! NO ASSESSMENT! ​

Answers

Answer:

(x, y) → (x, -y)

Step-by-step explanation:

We can see each corresponding point of the figures is mirrored over x- axis.

This is a reflection and the rule is:

(x, y) → (x, -y)

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

U in -x, y -> U' in -x, -y

(transformation : x to x and y to -y)

T in -x, -y -> T' in -x, y

(transformation : -x to -x (stand) and -y to y)

V in -x, y -> V' in -x, -y

(transformation : -x to -x (stand) and y to -y)

So The Rule is :

(x,y) => (x, -y)

#LearnWithEXO

Other Questions
30 points please write me a 3-6 paragraph story about something cool best one will get brainliest it can be fake or real what was so unique about the dwellings of the ancient anasazi tribe? In your own words, describe how you would use construction tools to construct a perpendicular to a line. Explain as if you were teaching a Geometry newbie. Use vocabulary in your explanation. Give an example of how you could then prove the line you created was perpendicular to the original line. I need help, plzzzzzzzzzz 10 points In laissez-faire economics, what is the role of the government in the economy? Help please help me please Use the figure to find the measures of the numbered angles. Question 4 of 10All of the following are words for "friend" or "chum" or "buddy" exceptA. Mon voisin.B. Mon copain.C. Mon pote.D. Mon ami.SUBMIT Find out which of the following sentences is a false statement. Group of answer choices The potential energy of a pair of positively charged bodies is positive. The potential energy of a pair of oppositely charged bodies is negative. The total work required to assemble a collection of discrete charges is the electrostatic potential energy of the system. The potential energy of a pair of negatively charged bodies is negative. The potential energy of a pair of oppositely charged bodies is positive. What is Prefix? Compare and contrast Anasi the spider and Greek myths Is x-10 a factor of f(x)=5x^3+60x^2+109x+90 In what ways has geography affected settlement patterns in North Africa? You deposit $6500 in a savings account that has a rate of 9%. The interest iscompounded semiannually. How much money will you have after fifteen years?Round to the nearest cent. why did the sale of indulgences become a critical issue? The output of a function is 5 more than -2 times the input. Write and solve an equation to find the input when the output is 11 change the sentence to simple present tense"i rose and found the shining dew on every buttercup" describe the world in spatial terms help plzz ill gve brailiest Nicole can run 4laps in 2/5 hour.How long will itHake her to run 5laps?