Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

Answer:

541/2 square

Step-by-step explanation:

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is 541/2 square

Answer: the answer is B.

Step-by-step explanation:

The correct equation which reveals the maximum height reached by the model rocket is,

h = - 16 (t + 4)² - 304

What is Quadratic equation?

An equation of order 2 in highest variable is called a Quadratic equation.

Given that;

The equation is,

H = -16t² + 128t + 48

Now, The equation which reveals the maximum height reached by the model rocket is find as;

H = -16t² + 128t + 48

h = -16(t² + 8t) + 48

h = -16 (t² + 8t) + 256 - 256 + 48

h = -16 (t² + 8t + 16) + 256 + 48

h = -16 (t + 4)² + 304

Thus, The correct equation which reveals the maximum height reached by the model rocket is,

h = - 16 (t + 4)² - 304

Learn more about the quadratic equation visit:

https://brainly.com/question/15241915

#SPJ5

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Answer:

hi may u send a pic?

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

14,696

buen dia

(lo siento)

Answer:

32.77 cm³

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume of ball (in in³) = 2 in³

Volume of ball (in cm³) =.?

From the question given above, we were told that:

1 in = 2.54 cm

Therefore,

1 in³ = 2.54³ cm³

Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:

1 in³ = 2.54³ cm³

Therefore,

2 in³ = 2 in³ × 2.54³ cm³ / 1 in³

2 in³ = 32.77 cm³

Thus, 2 in³ is equivalent to 32.77 cm³

Answer:

you have to do the directions they gave you, draw the coordinates

Step-by-step explanation:

Answer:

I think the volume would be 9 times greater, and the surface area would be 3 times greater

Step-by-step explanation:

Answer:

the volume would be 9 times greater

the surface area would be 3 times greater

Step-by-step explanation:

Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.

Step-by-step explanation:

Given

Area of a circle (A) = 641 ft²

Circumference (C) = ?

We know

πr² = 641

r² = 641 / 3.142

r² = 204

r = 14.28 ft

Now

Circumference

= 2πr

= 2 * 3.14 * 14.28

= 89.68 ft

Hope it will help :)

Answer:

The circumference is 89.68 ft.

Answer:

c

Step-by-step explanation:

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]

[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]

(8)

[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]

(9)

[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]

(10)

[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

hope i can help bbg / bbb :

) !!!

Answer:

m = -2/3

Step-by-step explanation:

2x + 3y = 12

-2x. -2x

3y = -2x + 12

÷3. ÷3. ÷3

y = -2/3x + 4

m = -2/3

Answer:

2(4z − 3 − 1) = 166 − 46

8z − 6 − 2 = 120

8z − 8 = 120

8z = 128

z = 16

pls give the brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.

now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16

z = 16  

Answer:

45 degrees each and 90 degrees

On a 10 by 4 grid, there would be 40 squares. If you were to shade 12 of those squares, it can be shown as the fraction:

[tex]\frac{12}{40}[/tex]

12/40 = 0.3

to get a percentage, we would have to multiply by 100

30% is to be shaded

Answer: 30%

Step-by-step explanation:

Total number of squares: 4*10=40

Shaded squares: 12

Fraction of shaded squares: 12/40

If you make the denominator 100, then the numerator is the percentage:

[tex]\frac{12}{40} * \frac{2.5}{2.5}=\frac{30}{100}[/tex]

Probability that Margaret will get a higher number than Carlos is 3/2.

Probability is the measure of the likelihood of an event to occur.

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

⇒ sample space = {1, 2, 3, 4, 5, 6}

⇒ Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

⇒ Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

Answer:

27

Step-by-step explanation:

322415154551

Answer:

Step-by-step explanation:

Just simply add 57 to 35.

57+35=92

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

https://brainly.com/question/17020135

#SPJ5

Answer:

m=-25

Step-by-step explanation:

m=Δh/Δt

(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)

m=(4500-5000)/(20-0)

m=-500/20

m=-25

Answer:

(3×25)÷5=15

hope it helps you

please mark me as brainlist

Answer:

15

Step-by-step explanation:

first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15

Answer:

21/40.

Step-by-step explanation:

Find the LCD (Least Common Denominator) of the fractions. The LCD of 5/8 and 1/10 is 40.

Convert both fractions into denominators of 40.

So then we have: 25/40 - 4/40 which is equal to: 21/40.

21/40 is the estimated value of the expression  5/8 -1/10

A number system is defined as a system of writing to express numbers.

The given expression is 5/8 -1/10

The terms in the expression are in the form of fractions, A fraction represents a part of a whole.

To find the value of expression firstly find the LCM of 8 and 10

40 is the LCM

5(5)-1(4)/40

25-4/40

The value of 25 minus 4 is twenty one.

21/40 is the value of the expression  5/8 -1/10

Hence, 21/40 is the estimated value of the expression  5/8 -1/10

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

g=7

Step-by-step explanation:

21=3g

g=7

Answer:

g=7

.............................