I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?

Answers

Answer 1

Answer:

your numnber is 15

Step-by-step explanation:

3x-3=n

nx=90

nx=90

(3x-3)x=90

3x^2-3x=90

x=6

3x-3=n

3(6)-3=n

18-3=n

15=n


Related Questions

Find the average rate of change for the function over the given interval.
2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4

Answers

Answer:

132

Step-by-step explanation:

The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.

y = 6x^3-6x^2-8

____

x = 2

6(2)^3-6(2)^2-8

6(8)-6(4)-8

48-24-8

24-8

16

____

x = 4

6(4)^3-6(4)^2-8

384-96-8

288-8

280

_____

280-16/4-2 = 264/2 = 132

A rectangular room is covered in 5 12 square feet of carpet. If the length of the room is 16 feet,
what is the width of the room?

Answers

Answer:

long

Step-by-step explanation:

14ft

Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation

Answers

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

j + 150 × 50 is a(n) ______ expression, because ______.

Answers

It’s an expression because it doesn’t have an equal sign if it did it would be an equation

A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.

6 percent of 38 0.6 times 38 = 22.8

Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.

Answers

Answer:

C

Step-by-step explanation:

Answer:

it b or c

Step-by-step explanation:

Please help me answer this and the imagine might be a little Blurry just zoom in the help out. Thank you

Answers

Answer:

Step-by-step explanation:

a = 180 degrees (because they are supplementary, as it says in the given, so their two angles add up to 180 degrees

b = 180 degrees (same reasoning as above)

c = Substitution?

d = m<3

e = m<3

I'm confident with everything except for c. If anyone can fill it in for me, pls do

f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).

Answers

Answer:

(f+g)(x) = 3x - 8 -x -4

(f+g)(x) = 2x-12

(f+g)(5) - substitute 5 into x

(f+g)(5) = 2(5)-12

(f+g)(5) = 10-12

(f+g)(5) = -2

Step-by-step explanation:

the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?

Answers

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

Answer:

There are 250 berries.

Step-by-step explanation:

There are 10 berries per 1 orange.

We have 25 oranges.

To find out how many groups of berries to oranges there will be I will divide 25 by 1.

[tex]25/1=25[/tex]

[tex]x*y=z[/tex]

x = Amount of groups

y = Amount of berries per group

z = Amount of berries total.

Substitute values:

[tex]25*10=250[/tex]

There are 250 berries total!

evaluate (2x^2+y^2)3

Answers

Answer:

8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]

Step-by-step explanation:

This can be expanded using the binomial theorem or by multiplying the factors.

In case you are not aware of the theorem, will do multiplication.

Given

(2x² + y²)³ = (2x² + y²)(2x²+ y²)(2x² + y²)

Expanding the second pair of factors

Each term in the second factor is multiplied by each term in the first factor, that is

2x²(2x² + y²) + y²(2x² + y²) ← distribute both parenthesis

= 4[tex]x^{4}[/tex] + 2x²y² + 2x²y² + [tex]y^{4}[/tex] ← collect like terms

= 4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]

Now multiply this by the remaining factor (2x² + y²)

(2x² + y²)(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex])

= 2x²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) + y²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) ← distribute both parenthesis

= 8[tex]x^{6}[/tex]+ 8[tex]x^{4}[/tex]y² + 2x²[tex]y^{4}[/tex] + 4[tex]x^{4}[/tex]y² + 4x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex] ← collect like terms

= 8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]

Find the slope of the line that passes through the points (4,10) and (6,9)

Answers

The slope is negative -0.5 you make a x and y table then subtract bottom minus top

what is the answer for the picture that is linked below?

Answers

Answer:

18%

Step-by-step explanation:

6840:38000*100 =

(6840*100):38000 =

684000:38000 = 18

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)

Answers

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

Answer: It’s C on edge

Step-by-step explanation:

Sandra is selling cookie dough for a fundraiser. She has a minimum fundraising goal of $150. If Sandra's mom gave her a $45 contribution without buying anything and Sandra can sell a box of cookie dough for $5 each, which inequality below represents the minimum number of cookie dough boxes she can sell

Answers

Answer:

At least 21 cookie

Step-by-step explanation:

Firstly she needed to raise $150

and each cookie $5

let the number of cookie be x

let the expression for the fund raising be

150=5x

given that the mom gave her $45

then she need

150-45=5x

105=5x

x=105/5

x=21

Therefore she need to sell at least 21 cookie

         

Given:
b (x) = x2+7x
Find
B(7)

Answers

Answer:

Step-by-step explanation:

b(7) = 7^2 + 7(7)

B(7) = 49 + 49

B(7) = 98

Is (4, 10) a solution of 5x + 10y = 120? Explain how you know. How
could you check using the equation? Using the graph?

Answers

Answer: No, it is not.

Step-by-step explanation:

If you solve and graph the equation, the point (4,10) falls below the line, not satisfying the equation.

−2z+3+7z=−12
i need help

Answers

Answer:

 =  − 3

Step-by-step explanation:

Answer:

z=-3

Step-by-step explanation:

-2z+3+7z=-12

5z+3=-12

5z=-12-3

5z=-15

z=-3

:)

z=1+4i
Find the angle 0(theta) in degrees that z makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express 0(theta) between -180 and 180 degrees.

Answers

Answer:

76.0 degrees

Step-by-step explanation:

Just got it right on the Khan Academy quiz.

What is the value of x?

Answers

Answer:

150

Step-by-step explanation:

Answer: 70

Step-by-step explanation: because 40 + 70 is 110. There is a sum of 180 degrees in a triangle. And 180- 110= 70.

pls give me brainliest

Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16, . . . For each sequence, describe a way to produce a new term from the previous term. If the patterns you described continue, which sequence has the second greatest value for the 10th term? Which of these could be geometric sequences? Explain how you know.

Answers

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

The geometric sequences in the given sequences is  1, 2, 4, 8, 16, . . .

What is a sequence?

A sequence  is an enumerated collection of objects in which repetitions are allowed and order matters.

Now the given sequences are,

30, 40, 50, 60, 70, . . . :
0, 5, 15, 30, 50, . . . :

1, 2, 4, 8, 16, . . .

For sequence 30, 40, 50, 60, 70, . . . :

we have common difference, d = 10

So, this is an arithmatic sequence.

So, Tn = a1 + (n-1)d

Hence, 10th term of the series,

T10 = 30 + (10-1)10

T10 = 30 + 9*10

T10 = 30 + 90

T10 = 120

For sequence 0, 5, 15, 30, 50, . . .

This is a recurssive sequence

Hence each term of the series is given as,

0

5 = 5*1

15 = 5*(1 + 2)

30 = 5*(1 + 2 + 3)

50 = 5*(1 + 2 + 3 + 4)

.

.

.

.

.

10th term = 5*(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 +  9)

10th term = 225

For sequence 1, 2, 4, 8, 16, . . .

Here common ratio, r = 2

also, Tn = ar^(n-1)

So, T10 = 1*2^(10-1)

or, T10 = 1*2^9

or, T10 = 512

Therefore,

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

and The geometric sequences in the given sequences is

1, 2, 4, 8, 16, . . .

More about geometric progression :

https://brainly.com/question/14256037

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becuase its kinda a lot of questions ill put a lot of points please help me with this

Answers

Answer:

what is the question that you are asking

Step-by-step explanation:

Answer:

#1

Line A is parallel to line B.

Sorry but I don't think there is a perpendicular line. Line C is y = 5/3x + 2/3 which isn't perpendicular they just cross.

#2

Again none of the lines are parallel which is kind of confusing.

Line A is perpendicular to line B.

Step-by-step explanation:

The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)

Answers

Answer:

y = -5/4x - 10.75

Step-by-step explanation:

First, put the equation in slope intercept form by isolating y:

5y - 4x = 10

5y = 4x + 10

y = 4/5x + 2

Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

8 = -5/4(-15) + b

8 = 18.75 + b

-10.75 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -5/4x - 10.75

Answer:

5x + 4y + 43 = 0

Explanation:

y=mx+b

m=slope

b=y intercept

perpendicuar lines have slopes that multiply to get -1

so

solving for y

add 4x both sides and divide by 5 to get

y=4/5x+2

slope is 4/5

perpendicular means the slopes multiply to get -1

so

4/5 times what=-1?

what=-5/4

so

y=(-5/4)x+b

find b

given the point (-15,8)

8=(-5/4)(-15)+b

8=75/4+b

-43/4=b

y=(-5/4)x-43/4

convert to standard form:

5x + 4y + 43 = 0

19 points Solve for c. 5/4c+12=2

Answers

Answer:

C= -8

Step-by-step explanation:

I used a calculator

Answer:

c=-8

Step-by-step explanation:

[tex]\frac{5}{4}c[/tex] + 12 = 2

1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)

1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the             right do it to the left )

1.25c = -10

1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )

c = -8

HOPE IT HELPED

Rewrite the expressions as a product of two factors.

Rewrite expressions as a product of two factors. Translation: Factor out the GCF


a. 72 + 8


b. 55 + 11


c. 36 + 72



d. 144 − 15 (careful!)


e. 3 + 3

Answers

a. 8(9+1)

b. 11(5+1)

c. 36(2+1)

d. 3(48-5)

e. 3(1+1)

Answer:

Step-by-step explanation:

8(9t+1)

11(5a+1

36(z+2)

144(15+9)

3 (3+1)

take out the letters but this is work i did in class plz mark brainlest

(5.31 x 103) – (2.8 x 103)

Answers

Answer:

258.53

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

I believe it is 258.53 ,,,,

what do i put? meh need help

Answers

Answer:

2/2 = 1 i think pls check

Step-by-step explanation:

4 divided by 2 = 2

and 6 divided by 3 = 2

so yea 2/2

and 2/2 = 1

HELPP ME PLEASEEE
ill give brainiest to whoever answers first

Answers

Answer:

the answer is d

Step-by-step explanation:

it would be 9.7 x 10^3

Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam's Solution Bruno's Solution 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 times 0.621 = 77.38 kilometers. 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers. If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct? Bruno is correct. When going from a larger unit to a smaller unit you need to divide. Bruno is correct. When going from a smaller unit to a larger unit you need to divide. Sam is correct. When going from a larger unit to a smaller unit you need to multiply. Sam is correct. When going from a smaller unit to a larger unit you need to multiply.

Answers

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Sam's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.

Bruno's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.

1 kilometer = 0.621 miles.

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

We will divide a larger value by a smaller value to get the smaller units

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

If the perimeter of the regular pentagon is 75 cm what is the length of each side

Plz help nowww

If you wanna be crowed a brainliest:-)

Answers

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

Passes through (4,2) and is vertical

Answers

Answer:

the equation for the line would be x= 4

Step-by-step explanation:

vertical lines means that only the x axis will be crossed by the line

this means that if you have a point of a vertical line, you can take the x value in it to determine the equation

In the figure, polygon ABCD is transformed to create polygon A'BCD.
This transformation is a
by a factor of

Answers

Answer:

This transformation is a  horizontal stretch  by a factor of  2 .

Step-by-step explanation:

The transformation is a horizontal stretch by a factor of 2 .

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

According to the given figure, vertices of rectangle ABCD are:

A=(3,0) B=(1,0) C=(1,2) and D=(3,2)

After the transformation of square ABCD we get a rectangle A′B′C′D′.

whose vertices are, A'=(6,0) B'=(2,0), C'=(2,2) and D'=(6,2)

(Here A', B', C' and D' are transformed from points A, B , C and D respectively.

In horizontal stretch by a factor k the point (x,y) in a graph f(x) is transformed to the (kx,y).

And after seeing the coordinates of vertices of square ABCD and rectangle  A′B′C′D′

it is clear that there is no change in the y-coordinates in all the vertices of both square ABCD and rectangle  A′B′C′D'.

Moreover, the x-coordinates are increasing by multiplying 2. Therefore it is a horizontal stretch by factor 2.

Hence, this transformation is a horizontal stretch by a factor of 2 .

To learn more on Graph click:

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