A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1 2 inches would be needed to fill the gift box?

Answer:

x----------> the length of the room

y----------> the width of the room

we know that

x*y=120---------> equation 1

y=(5/6)x--------> equation 2

substitute 2 in 1

x*[(5/6)x]=120------> (5/6)x²=120-----> x²=120*6/5-----> x²=144

x=12 ft

y=(5/6)*12-----> y=10 ft

the answer is

the dimensions of Winnie's bedroom are

the length of the room is 12 ft

the width  of the room is 10 ft

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

we must divide 175 to 5 then it is equal to 35

35 students in 1 bus

have a nice day

Answer:

35 students

Step-by-step explanation

Your equastion is 175 divided by 5 which equels 35.

Answer:

18 ÷ (-2) = -9

Step-by-step explanation:

18 ÷ (-2) = -9 is the least possible quotient.

To meet the requirement, we should divide the biggest positive number by smallest negative number

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

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

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

Then:

g(x) = e^(x + 2) + 2

Answer:

x = -13

Step-by-step explanation:

Step 1: Rearrange terms

9-2x=35

-2x+9=35

Step 2: Subtract from both sides of the equation

-2x+9-9=35-9

Step 3: Simplify

-2x+0=26

-2x=26

Step 4: Divide both sides of the equation by the same term

-2x/-2 = 26/-2

Step 5: Simplify

x = 26/-2

x=-13

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

The steps are shown in the picture

Answer:

a) 8

b) 10

c) 12

Step-by-step explanation:

C is 12 because tablets sold under 30 are the first 2 bars. 5 stores sold 9-19 and 7 store sold 20-30

Answer: [tex]770,000[/tex]

Step-by-step explanation:

Given

The present population of bacteria is [tex]1,92,500[/tex]

It doubles in every 238 minutes

So, after 238 minutes it is

[tex]\Rightarrow 192,500\times 2=385000[/tex]

After another 238 minutes i.e. 476 minutes from starting, they becomes

[tex]\Rightarrow 385000\times 2=770,000[/tex]

Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Answer:   x = -5

Step-by-step explanation:

Solve equation [2] for the variable  x

Plug this in for variable  x  in

Solve equation [1] for the variable  y  

Answer: 2

Step-by-step explanation:

1+1=2

Answer: 62

hope this helps :)

Answer:

Step-by-step explanation:

136h-24 which is not listed in your choices

Answer:

Inverse variation equation:

If y = 2, x = 9, find k:

(a)

Equation of this function:

(b)

x = 12, y = ?

Answer:

equilateral

Step-by-step explanation:

all angles are the same size. Has to be equilateral

6n because 5n +n =6 its probably wrong so hope its right??????

Answer:

Answer is x= 1/35

Step-by-step explanation:

......

Answer:

23

Step-by-step explanation:

the coefficient is the number attached to the variable

Answer:

23

coefficient-23

variable-y

constant-5

1 inch = 5 miles

1 square inch =25 square miles

25 square miles x 75 square inches = 1,875 square miles

Answer : 1,875 square miles

Answer:

Step-by-step explanation:

Answer:

x = 3.58 (2 d.p.)

Step-by-step explanation:

Given equation:

[tex]e^{4x-5}-7=11243[/tex]

Add 7 to both sides:

[tex]\implies e^{4x-5}-7+7=11243+7[/tex]

[tex]\implies e^{4x-5}=11250[/tex]

Take natural logs of both sides:

[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies (4x-5)\ln e=\ln 11250[/tex]

As ln(e) = 1:

[tex]\implies 4x-5=\ln 11250[/tex]

Add 5 to both sides:

[tex]\implies 4x-5+5=\ln(11250)+5[/tex]

[tex]\implies 4x=\ln(11250)+5[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]

[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]

Using a calculator:

[tex]\implies x=3.582030852...[/tex]

Therefore:

[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]

Learn more about log laws here:

https://brainly.com/question/28016999

https://brainly.com/question/27977096

Answer:

the number represent the opposite of E is 3

Answer: 409

Step-by-step explanation:

67x6+(35÷5)

402+7= 409

Answer:

409

Step-by-step explanation:

all u do is do 35 divided by 5 which =7

then you do 67 times 6 which = 402

then you do 402 + 7 which = 409

Answer:

[tex]7c\sqrt23d[/tex]

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Answer:

21b+x

Step-by-step explanation:

Answer:21b+x

Step-by-step explanation:

i got u