Mathematics College

X=8

THE DIRECTIONS ARE ON THE TOP

Answers

Answer 1

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula --> y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

So y = 5 × 8 = 40

y = 40

Answer 2

9514 1404 393

Answer:

7. y = 5x; y = 40

8. y = 1/3x; y = 8/3

Step-by-step explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

k = y/x . . . . . divide both sides by x to solve for k

7. k = 10/2 = 5

The equation is ...

y = 5x

For x=8, the value of y is found using the equation:

y = 5(8) = 40

8. Same deal, different numbers.

k = 6/18 = 1/3

y = 1/3x . . . . . the equation

y = 8/3 . . . . . y for x=8

Related Questions

#
A four group with 22 people in his getting rooms in a more to sny in to the
night. No more than 3 people can stay in each room. How many terms will
they need?

Answers

Answer:

To find the answer you will have to divide 22 by 3 so 7 with 1 person left over so you round up and there will be 8 rooms needed.

Hope I helped :)

Need help please help me

Answers

the answer is c not tha

What fraction is equivalent to 8%

Answers

2/25

4/50

8/100

this are the smallest fractions equivalent to 8%

Answer:

8/100

Step-by-step explanation:

8% = 0.08 = 8/100

let me know if you need more of an explaination <33

Name the two congruent triangles

Answers

Answer:

∆ABE ≅ ∆DCE by SAS Congruence Theorem.

Step-by-step explanation:

The diagram given indicates the following:

<E ≅ <E (vertical angles)

AE ≅ DE

BE ≅ CE

Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.

Therefore:

∆ABE ≅ ∆DCE by SAS Congruence Theorem.

(1) The tuition T for one year at a college can be approximated by the equation T = 1/8 + 9 where x is the year since 2000, and T is tuition in thousands of dollars. Use this equation to estimate the tuition for one year at this college in 2020.

Answers

Answer:

Step-by-step explanation:

I’m assuming you meant to write

T = ⅛x + 9

T = ⅛(20) + 9 = 11.5

The required estimate of tuition for one year at the college in 2020 is $11500

Given,
The tuition T for one year at a college can be approximated by the equation.
T = 1/8x + 9 - - - - - - (1)
where x is the year since 2000, and T is tuition in thousands of dollars.
Tuition fee in the year 2020 to be calcuate.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The expression is given, since 2000
so the change in years
x = 2020 - 2000
x = 20
Put this x in equation 1
T = 20/8 + 9
T = 2.5 + 9
T = 11.5
SInce t is in thousand so Tuition fee = $11,500.

Thus, the required estimate of tuition for one year at the college in 2020 is $11500

Learn more about function here:

brainly.com/question/21145944

#SPJ2

A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal

Answers

Answer:

Step-by-step explanation:

V=lbh=1 1/4×4×3 1/4

=5/4×4×13/4

=65/4

=16 1/4 cm³

=16.25 cm³

Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh

Help fast pleaseeeee

Answers

we will find the area of triangle with sides 5y,6y and 9y using herons formula

Kate’s father is a baker at the Morning Muffin Bakery. This morning the oven wasn’t working correctly and 2 dozen muffins burned. Kate’s father gave ¼ of what was left to Kate to take to school. He wrapped up ½ of the remaining muffins and sold them to the grocery store down the street. He then wrapped ⅓ of what was remaining and gave them to the coffee shop to sell. That left Kate’s father with a dozen muffins to sell at the bakery. How many muffins did Kate’s dad bake?

Answers

Answer:

Step-by-step explanation:

Step 1: 12 divided by 3 = 4. 12+4 = 16.

I need to know what ⅓ of 12 is so I can continue the problem without messing up.

Step 2: 16*2 = 32.

Half of however many are left is 16.

Step 3: 32 divided by 4 is 8. 32+8 is 40. Two dozen is 24. 40 + 24 = 64.

Now we know the answer.

Boom.

True or false?
All quadrilaterals are also rhombuses.

Answers

Answer:

It's false

All quadrilaterals are also rhombus, False

Answer:

The answer is true. A rhombus is a quadrilateral that has four sides that are equal. This definition can also be applied for a square.

Step-by-step explanation:

What is the equation of the line (-1,-4) (1,0)

Answers

Answer:

what do you mean by equation

Step-by-step explanation:

i was able to get you the slope form of it if thats okay

y=2x-2 in order to find the slope use the pdf i attached it should provide an example

If one he side of a square note book measures 20cm what is the area of the front cover of the note book

Answers

Answer:

400 sq cm

Step-by-step explanation:

20cm x 20cm

Enter the value of f(4) for the following function:

Answers

Answer:

648

Step-by-step explanation:

8x3x3x3x3=8x81=648

A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly
three out of six free throws?

Answers

It has 27.648 percent

can someone help me with this please

Answers

Answer:

45 degrees I believe

Step-by-step explanation:

Answer: 30 degrees

Step-by-step explanation:

The opposite and hypotenuse sides are given, so we use sine.

sinx = O/H = 25/50

sinx = 1/2

x = 30 degrees

Highest common factor of 15 30 and 45

Answers

Step-by-step explanation:

I believe it is 15...all the numbers can be divided by 15, since 15 is the smallest number it is also the highest common factor only because 30 and 45 can be divided by 15

.......hope it helps!

Answer:

Step-by-step explanation:

Find the prime factors for each number as:

45 =3 × 3 × 5

30 = 2 × 3 × 5

15 = 3 × 5

Now identify the common factors and determine the GCF:

Therefore:

HCF = 3 × 5 = 15

The height of a rocket, in feet, t seconds after it is launched is modeled by the function h(t) = -16t2 + 125t + 24. Which interval has the largest change in height?

A. 0-1 second

B. 3-4 seconds

C. 5-6 seconds

D. 7-8 seconds

Answers

Answer:

Step-by-step explanation:

trust

Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.

Answers

The answer would be 32ft (squared). The formula for area of a triangle is base times length, divided by two. Therefore 8 times 8 equals 64. 64 divided by 2 is 32. good luck!

Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?

Answers

Answer:

Step-by-step explanation:

5.25

3.00

1.25

_____

$ 9.50

- 20.00

_______

$10.5

Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?

Answers

Answer:

16 oz

Step-by-step explanation:

the ratio is 3 oz of oj to 1 oz of seltzer.

I pretty much just divided 48 by 3.

I hope this is correct and I hope it helps you!

Solve the equation. The symbol "^" mean "raised to the second power"

C^2=28.2+42.1

Answers

Answer:

Step-by-step explanation:

c^2=28.2 + 42.1

SOLVE FOR A

A=logc (703/20), c ≠ 1 and C > 0

SOLVE FOR C

{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing

Answers

Answer:

[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Rectangle: A = lw

l is lengthw is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle l = 10 \ meters[/tex]

[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]

[tex]\displaystyle w = 23 \ meters[/tex]

[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]

Step 2: Differentiate

[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]

Step 3: Solve

[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

Which equation can be used to describe the pattern in the table

Answers

Answer:

I feel like its C.

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

because all the a values are 5 more than b

Please help and thank you:)

Answers

Answer:

Its C

Step-by-step explanation:

Since the x is being multiplied by the 12, not being added or divided or substracted

Solve to x to the nearest foot

Answers

Answer:

x= 1325 ft (nearest foot)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.

1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12

Answers

Answer:

Step-by-step explanation:

Sry but I only did 1,2,5,6,7&8

But am not sure if am correct just try

The graph of triangle ABC is shown below:

What is the area, in square units, of triangle ABC?

Answers

Answer:

36 square units

Step-by-step explanation:

Height = 9

Base = 8

Area of a triangle = A = 1/2bh

Plug in

1/2 (8) (9) = 4 x 9 = 36

Help please!! I’ll give best answer brainliest!!

Answers

Answer:

D, The last one

Step-by-step explanation:

If you divide me by 9, the remainder is 4. I am a multiple of 10. What two-digit number am I?

Answers

Answer:

40?

Step-by-step explanation:

i tried

I’m Sorry But here’s An Other One :’)

Answers

Answer:

32.34

Step-by-step explanation:

9.35 + 9.35 + 6.82 + 6.82=32.34

Your welcome.

Kindred invested $38,976 into first company his investment decreased by 3.5% each years over the first 3 years. Which exponential decay model could use to determine the amount his investment will be worth if in continue to decrease at the same rate?

Answers

Answer:

35,025.08 x 0.965 ^ X = Y

Step-by-step explanation:

Given that Kindred invested $ 38,976 into First company, and his investment decreased by 3.5% each year over the first 3 years, to determine which exponential decay model could use to determine the amount his investment will be worth if it continues to decrease at the same rate the following calculation must be performed:

100 - 3.5 = 96.5

38,976 x 0.965 ^ 3 = 35,025.08

Thus, after 3 years of losses, the value of the account will be $ 35,025.08. In turn, if we wanted to determine the amount his investment will be worth if it continues to decrease at the same rate, the following equation should be applied:

35,025.08 x 0.965 ^ X = Y

In this case, X will be the number of years the investment has fallen, and Y will be the value of said investment after the years of decline.

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X=8 THE DIRECTIONS ARE ON THE TOP

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X=8

THE DIRECTIONS ARE ON THE TOP