To model the problem containing an unknown number, translate the statement into an equation.

Sixteen is five less than a number.

Which steps would you take to translate the statement?

Replace “is” with =, “less than” with –, and “a number” with n to get 16 = 5 – n.
Replace “is” with =, “less than” with +, and “a number” with n to get 16 = n + 5.
Replace “is” with =, “less than” with –, and “a number” with n to get 16 = n – 5.
Replace “is” with =, “less than” with ÷, and “a number” with n to get 16 = 5 ÷ n.

Answers

Answer 1

Answer:

The correct option would be the 3rd one

If you want to find 5 less than a number you are subtracting

so 5 less than 20 would be 15, so 20 - 5

since 16 is five less that means whatever the equation equals it will be 16 which is why 16 is in the first part

Answer 2

Answer:   The correct option would be the 3rd one

Step-by-step explanation:

If you want to find 5 less than a number you are subtracting

so 5 less than 20 would be 15, so 20 - 5

since 16 is five less that means whatever the equation equals it will be 16 which is why 16 is in the first part


Related Questions

A clown has 10 red balloons and 14 blue balloons. You pick one balloon without looking. What is the chance it is red?

Answers

Answer:

Percent: Approx 41.6%

Fraction: 10/24 = 5/12

10 in 24

Step-by-step explanation:

There are 10 red balloons out of a total of 24. The rest is self-explanatory.

Hope this helps! Have a great day!

Solve this equation. Enter your answer in the box. –4(x – 26) = –200\

Answers

Answer:

x is 76

Step-by-step explanation:

im pretty sure, i just sloved it

Answer:

76.

Step-by-step explanation:

Simplifying

-4(x + -26) = -200

Reorder the terms:

-4(-26 + x) = -200

(-26 * -4 + x * -4) = -200

(104 + -4x) = -200

Solving

104 + -4x = -200

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-104' to each side of the equation.

104 + -104 + -4x = -200 + -104

Combine like terms: 104 + -104 = 0

0 + -4x = -200 + -104

-4x = -200 + -104

Combine like terms: -200 + -104 = -304

-4x = -304

Divide each side by '-4'.

x = 76

Simplifying

x = 76

In the expression y=3x+7 what does the input have to be in order for the output to be -2?

Answers

Answer:

x= -3

Step-by-step explanation:

you replace y with -2 as the output

then subtract the 7 on both sides to have '-9=3x'

divide by 3 on both sides

x= -3

Answer:

x=-3

Step-by-step explanation:

y=3(-3)+7

y=-9+7

y=-2

Please help I need the answer ASAP please i will give brainliest

Answers

Answer:

the answer is the first one

Answer:

A

Step-by-step explanation:

Robert is designing hexagonal tiles that are made up of 12 identical right triangles, as shown. Write three equations robert can use the find the area A of the hexagonal tile in square centimeters.

Answers

Question:-

Robert is designing hexagonal tiles that are made up of 12 identical right triangles, as shown. Write three equations robert can use the find the area A of the hexagonal tile in square centimeters.

Given:- Hexagon is made up of identical 12 triangles Sides of triangle :- 5cm,4cm,3cm

To Find:- 3 Equations for finding the area of the triangle

Answer:-

First method:-

we know 12 triangles make up hexagon so we can say

12× Area of triangle = Area of hexagon

[tex]12 \times ( \frac{1}{2} \times base \times height) = area \: of \: hexagon[/tex]

[tex]12 \times \frac{1}{2} \times 3 \times 4 = area \: of \: hexagon \\ 12 \times 3 \times 2 = area \: of \: hexagon \\ 12 \times 6 = area \: of \: hexagon \\ 72cm {}^{2} = area \: of \: hexagon[/tex]

Second method:-

we can see that there is a rectangle in the middle of the hexagon and 4 triangles (identical ) on 2 sides

According to question:-

sides of rectangle :- 8 cm and 6cmside of triangle is same

so area of hexagon= area of square+ 4 area of triangle

[tex]( l \times b ) + (4( \frac{1}{2} \times b \times h)) = area \: of \: hexagon[/tex]

[tex] (8 \times 6 ) + 4(\frac{1}{2} \times 4 \times 3) = area \: of \: hexagon \\ 48 + 24= area \: of \: hexagon \\ 72 {cm}^{2} = area \: of \: hexagon[/tex]

Third method:-

we can see 2 square at the sides of the 4 triangle at the middle so we can say

side of square = 5cmsides of triangle = 4cm ,3cm

Area of hexagon =4× area of triangle + 2 area of square

[tex]area \: of \: hexagon = (4\frac{1 }{2} × 4×3)+2(5×5) [/tex]

[tex]area \: of \: hexagon = 24+ 50 \\ area \: of \: hexagon = 74cm² \\ area \: of \: hexagon = 72 cm ² approx [/tex]

This approximation turn out bez in your question the area of 4 identical triangle is not equal to square formed by them

4 area of triangle = area of square

4×6 = 24 cm² not equal to 5² = 25 cm²

thats why there is approximation of 2 cm²

Every day, you take the elevator from the basement parking lot that is at level -3. The elevator takes two seconds per level and you find that it takes 46 seconds to reach your floor. Which floor do you live on?​

Answers

Answer: Well 2 x 23 = 46, So the 23rd floor

Step-by-step explanation: :)

Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. v(t)=v(t)=v, left parenthesis, t, right parenthesis, equals 2) How many months after its creation does the company reach its lowest net value? months

Answers

Answer:

4(t-3)^2-64

3 months

Step-by-step explanation:

1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]

2)3 months after its creation the company will reach its lowest net value.

The net value of the company after t months is given as:

[tex]v(t) = 4t^2-24t-28[/tex]

The above parabolic equation can be written as

[tex]v(t)=4(t^2-6t+9)-64[/tex]........(1)

What is the general equation of a parabola with vertex (h,k)?

The general equation of a parabola is:

[tex]y = a(x-h)^2 +k[/tex]

where (h,k) is the vertex of the parabola.

So, (1) can be written in the vertex form as

[tex]v(t)=4(t-3)^2-64[/tex]

So, the vertex of the given parabola is (3, -64).

[tex]v'(t) = 8t - 24[/tex]

[tex]v''(t) =8[/tex]

So, from the second derivative test

t value corresponding to v'(t) =0 will give minimum value

[tex]8t-24=0[/tex]

[tex]t=3[/tex]

So,  3 months after its creation the company will reach its lowest net value.

Therefore, 1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]

2)3 months after its creation the company will reach its lowest net value.

To get more about minima visit:

https://brainly.com/question/6422517

Write an expression the represents the statement "Add 9 and 3, then multiply by 6"
Asap answer please

Answers

Answer:

(9+3)*6

Step-by-step explanation:

Remember the order of operation: (PEMDAS)

Problem: (9+3)*6

Step 1 add 9+3 =12

Step 2 multiply 12*6

Step 3 your answer to solving the problem 72

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

c to a a to f

Step-by-step explanation:

180-80=100.
A line can be assumed to be 180 degrees at a “resting” angle.

Write the phrase as an algebraic expression.
The quotient of eight and a number h is written as

Answers

Answer:

eight divided h 8 '/. h

Step-by-step explanation:

[tex]\frac{8}{h}[/tex]

An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.

A quotient is a quantity that is obtained by dividing two numbers.

Phrase is "The quotient of eight and a number [tex]h[/tex]"

Quotient of eight and [tex]h[/tex] means [tex]8 \div h[/tex] that is equivalent to [tex]\frac{8}{h}[/tex]

The phrase can be written as [tex]\frac{8}{h}[/tex]

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50 points!
Select all that apply. A rectangular prism has a volume of 96 cubic inches. Select the possible measurements for the base area and height of the prism.

Answers

This should be simple, just simply multiply the area of base with height.

A - 24 * 4 =  96 ft³

B - 9.5 * 5 = 47.5 ft³

C - 16 * 6 = 96 ft³

D - 48 * 2 = 96 ft³

E - 9 * 5.3 = 47.7 ft³

Therefore, only option A, C, D is correct.

What information do you need to write the equation of a transformed quadratic equation in vertex form

Answers

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.

Step-by-step explanation:

4. The value of y is directly proportional to the value of x. If y = 45 when x = 180, what is the value of y when x = 80?​

Answers

Given:

The value of y is directly proportional to the value of x.

y = 45 when x = 180.

To find:

The value of y when x = 80.

Solution:

Since the value of y is directly proportional to the value of x, therefore

[tex]y\propto x[/tex]

[tex]y=kx[/tex]      ...(i)

where, k is constant of proportionality.

Putting y=45 and x=180, we get

[tex](45)=k(180)[/tex]

[tex]\dfrac{45}{180}=k[/tex]

[tex]k=\dfrac{1}{4}[/tex]

Substituting [tex]k=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\dfrac{1}{4}x[/tex]

Put x=80 in this equation.

[tex]y=\dfrac{1}{4}(80)[/tex]

[tex]y=20[/tex]

Therefore, the value of y is 20 when x=80.

PLEASE HELP FOR BRAINLEST!!!!

Answers

Answer:

repel and attract is correct answer

Answer:

repel; attract

Step-by-step explanation:

think of magnets, N and N repel and N and S attract

78 fifth graders are going on a field trip to the zoo. If each school bus seats 35 students how many buses will be needed?
Will there be extra seats for parents and teachers? If so, how many extra seats?

Answers

Answer:

You will need 3 buses and you will not have any seats left.

For △ABC find the length of AB if AC=7, BC=5, and m∠C=20. Round your answer to the nearest hundredths. (Image not drawn to scale)

Answers

Answer: 2.87

Step-by-step explanation:

PLEASE HELP!!! (algebra 2)
The difference of two number is 2 and product of them is 224. Find the Numbers if both of them are negative.

Answers

Answer:

The numbers are 14 and 16.

Step-by-step explanation:

Equation:

x (x - 2) = 224

Solution:

x (x - 2) = 224

x² - 2x = 224

x² - 2x - 224 = 0

Now, we ended up with a trinomial. To find the two numbers, we need to factor it.

Factoring Trinomials

Trinomial is a polynomial with three terms which are connected by plus or minus notations. It is expressed as a² + b + c.

To factor, we need to follow these steps:

1. Find the factors of "ac" that when combined it will result to "b".

2. When "c" is positive, the sign in each binomial is the same as "b".

3. When "c" is negative, the sign in each binomial is different.

4. Write as the product of two binomials ( )( ).

Let us continue.

x² - 2x - 224

(x - 16)(x + 14)

Therefore, x = 16 and x = -14.

Since we are looking for a positive value, we are going to use the positive value of x and that is 16.

Larger number is 16.

x - 2 = 16 - 2 = 14

Smaller number is 14.

Final Answer:

The two numbers are 14 and 16.

Checking:

x (x - 2) = 224

16 (16 - 2) = 224

16 (14) = 224

224 = 224 ✔

To rewrite y(t) = 2 * sin (4 pi t) + 5 * cos (4 pi t) in the form Asin(wt+phi), you must first find the amplitude. Use c1=Asin(phi) and c2=Acos(phi) along with the Pythagorean identity to solve for A (amplitude.) previous question: By plugging in for c1 and c2, the equation should shift to be: Asin(wt+phi)=Acos(phi)sin(wt)+Asin(phi)cos(wt) Use the identity sin(x+y)=sin(x)cos(y)+cos(x)sin(y)

Answers

Answer:

The equation in standard form is [tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex].

Step-by-step explanation:

We use the following trigonometric identity:

[tex]\sin (\alpha + \beta) = \sin \alpha\cdot \cos \beta + \cos \alpha \cdot \sin \beta[/tex], [tex]\forall\,\alpha,\beta\in \mathbb{R}[/tex] (Eq. 1)

If we have formula [tex]y(t) = 2\cdot \sin (4\pi\cdot t)+5\cdot \cos (4\pi\cdot t)[/tex], by direct comparison with (Eq. 1):

[tex]A\cdot \cos \phi = 2[/tex] (Eq. 2)

[tex]A\cdot \sin \phi = 5[/tex] (Eq. 3)

Where:

[tex]A[/tex] - Amplitude, dimensionless.

[tex]\phi[/tex] - Phase angle, measured in radians.

By dividing (Eq. 3) by (Eq. 2), we get that:

[tex]\tan\phi = \frac{5}{2}[/tex]

[tex]\phi = \tan^{-1}\left(\frac{5}{2} \right)[/tex]

[tex]\phi = 0.379\pi\,rad[/tex]

From (Eq. 2) we find the amplitude:

[tex]A = \frac{2}{\cos \phi}[/tex]

[tex]A = \frac{2}{\cos 0.379\pi}[/tex]

[tex]A = 5.390[/tex]

Therefore, we find that equation in standard form is:

[tex]y(t) = A\cdot \sin (\omega\cdot t +\phi)[/tex] (Eq. 4)

Where [tex]\omega[/tex] is the angular frequency, measured in radians per second.

([tex]A = 5.390[/tex], [tex]\omega = 4\pi\,\frac{rad}{s}[/tex], [tex]\phi = 0.379\pi\,rad[/tex])

[tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex]

what is the answer for 6y-2y?

Answers

Answer:

4y

Step-by-step explanation:

Please answer this by midnight I need it for Algebra 3 and I don't want to fail please

Answers

The length of the arc is about 1.758 cm.

First, we need to determine the size of the angle. If we have pi/5 radians, we can convert that to 36 degrees, because pi radians is 180 degrees. Now, we know the measure of the arc is 36 degrees. 36 degrees out of 360 degrees is 10%.

Our arc is 10% of the circumference of the circle.

The circumference is 2(pi)r or 2(3.14)2.8 = 17.58 cm

Now, multiply 17.58 by 0.1 to get a total of 1.758 cm.

Write a simplified algebraic expression for the area of a rectangle with length 4x and width x - 2.

b) If x = 3, find the area of the rectangle.

Answers

4x (x - 2)

4(3) (4(3-2))

12 (4)

=48 units

Calculate the pay of the following day of a wage of $ 11/hour.

Answers

Answer:

93.5 dollars during Monday.

Step-by-step explanation:

Morning: 12:15 - 8     = 4hours 15 minutes

Afternoon: 17:15 - 13 = 4 hours 15 minutes

Total Time working = 4 hours 15 minutes + 4 hours 15 minutes

Total time working = 8 hours 30 minutes

30 minutes = 1/2 hour = 0.5 hours

Total time = 8.5 hours

Wage = 8.5 * 11 = 93.5 dollars for Monday.

#7 and #8 find the slope in the graphs MULTIPLE CHOICE

Answers

Answer:

7)A 8)D

Step-by-step explanation:

Answer:

7 is d and 8 is a

Step-by-step explanation:

I’m out of school right now and i don’t know what the answer is this is the question. What’s the mean for 17 9 11 and 7?

Answers

Answer:

11

Step-by-step explanation:

Given the following question:

[tex]17,9,11,7[/tex]

To find the mean of any given data set we need to add all the values together and then divide that answer by the total amount of values in the data set.

[tex]17,9,11,7[/tex]
[tex]17+9+11+7[/tex]
[tex]9+11=20[/tex]
[tex]20+17=37[/tex]
[tex]37+7=44[/tex]
[tex]=44[/tex]

Now divide the answer by the total amount of values:
[tex]44[/tex]
[tex]a=4[/tex]
[tex]44\div4=11[/tex]
[tex]m=11[/tex]

Which means the mean of this given data set is "11."

Hope this helps.

Answer:

Mean = 11

Step-by-step explanation:

The mean is the average number of the data.

Given data: 17, 9, 11, and 7

To calculate the mean of the data, divide the sum of the data by the total numbers in the data. The quotient will be the average of the data.

[tex]\dfrac{17 + 9 + 11 + 7}{\text{Total digits in the data}}[/tex]

We can see 4 digits included in the data. Thus, the sum of the data will be divided by 4.

[tex]\dfrac{17 + 9 + 11 + 7}{4}[/tex]

Now, let's solve for the mean.

[tex]\dfrac{17 + 20 + 7}{4}[/tex]

[tex]\dfrac{44}{4} = 11[/tex]

Thus, 11 is the mean.

k / 6 = 4 solve this question need it ASAP

Answers

Answer:

k=24

Step-by-step explanation:

k/6=4 (multiply both sides by 6)

k/6(6)=4(6)

k=24

k= 24 is the answer

Step-by-step explanation:

6×4=24

I need help with this question, it is for geometry ​

Answers

Answer:

x=3...

Step-by-step explanation:

Given:T is the midpoint of SU.....

To find: x

Proof: ST=TU ( T is the midpoint of SU)

         8x+11=12x-1

         11+1=12x-8x

          12=4x

           12/4=x

             x=3.

Anyone know how to do this?

Answers

9514 1404 393

Answer:

  ∠2 = 45°

Step-by-step explanation:

Angles 1 and 2 are same-side interior angles where the transversal crosses parallel lines. That means they are supplementary angles.

  ∠1 +∠2 = 180° . . . . . supplementary angles total 180°

  135° +∠2 = 180° . . . . substitute the given value

  ∠2 = 180° -135° . . . .  subtract 135°

  ∠2 = 45°

PLEASE HELP
m<6 = (2x-5)°
m<4 = (x+5)°

Answers

9514 1404 393

Answer:

  ∠3 = 115°

Step-by-step explanation:

Angles 4 and 6 are "same-side interior angles", so are supplementary.

  ∠4 +∠6 = 180°

  (x +5) +(2x -5) = 180

  3x = 180

  x = 60

The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...

  ∠3 = ∠6 = (2x -5)° = (2(60) -5)°

  ∠3 = 115°

I need help please!!!!!

Answers

Answer:

after it is folded into 4 the new area is 112

Step-by-step explanation:

450 divided by 4 is 112

What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)?
A. 73
B. 90
C. 290
D. 365

Answers

Answer:

B. 90

Step-by-step explanation:

Simplify

20 + 3(11) + 5 + 2(16)

Expand

20 + 33 + 5 + 32

Simplify

= 90

it’s 90

steps
starts with the (), (7+4)=11 and (7+9)= 16
20+3 (11) +5+2 (16)
then multiply the 3(11)=33 and 2(16)=32
20+33+5+32=90
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