Symbolize and solve Equations
Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and
multiplied the sum by 4, it would equal 12. Which equation could Stephanie use to find the number, x?
A. 4(X + 8) = 12
B .4+(x+8)=12
C. 4(x)+8=12
D. 8(x + 4) = 12

Answer: 6 for $4.99

Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83

If you were to buy 6 for .89 you would end up spending $5.34.

Hope this helps :)

Answer:

6 for 4.99

Step-by-step explanation:

.89 x 6= 5.34

Answer:

27 degrees

Step-by-step explanation:

So looking at this rhombus, we can make out 4 seperate traingles.

How many degrees are in a traingle? 180.

Looking at the traingle with z angle in it, we can see that it is a right traingle.

Now, lets subtract that 90 degrees from the 180.

This leaves us with the 63 degrees and x that make up the 90 degrees that are left.

Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.

90 minus 63 is 27, so the angle of z is:

27 degrees

I hope this helps!

Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.

Answer:

Step-by-step explanation:

q = 51

Writing these statements symbolically, we get p = k/q.  This is inverse variation.

Solving for k, we get k = pq.  Thus the governing equation is k = pq, or k = (17)(15) = 255.

We then have a specific equation:  p = 255/q, or q = 255/p.

If p is 5, q is   q = 255/5 = 51

Answer:

hope this helps

you will find all answer in the photo i sent

Answer:

i. The company should use the cylindrical tubes.

ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Step-by-step explanation:

i, Which packaging should the company choose?

The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.

For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box  is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.

So, ,A = 2(lb + lh + bh)

,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)

A = 2(24cm + 56 cm + 21cm)

A = 2(101 cm²)

A = 202 cm²

For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.

Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.

So, A' = 2πr(r + h)

A' = 2π(3 cm)(3 cm + 6cm)

A' = (6π cm)(9 cm)

A' = 54π cm²

A' = 169.65 cm²

Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

The company should use the cylindrical tubes.

ii. Justify your choice.

This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²

Answer:

oh no i dunno how to do this

Step-by-step explanation:

Answer:

36, 6, (1/)36

1/6 ^ -2 = 6^2 = 36

1/6 ^ -1 = 6^1 = 6

1/6 ^2 = 1/36

Answer:

area of triangle =1/2 p×b=1/2×4×3=6unit²

Answer:

a = ✔ 5 cm

b = ✔ 13 cm

c = ✔ 15 cm

Step-by-step explanation:

correct on edge 2021 assignment

have a good day

dont forget to stay hydrated and wear a mask in public places! <3

Answer:

1/12

Step-by-step explanation:

[tex]\frac{1}{4} - \frac{1}{6}[/tex]

[tex]\frac{6 - 4}{24}[/tex]

[tex]\frac{2}{24}[/tex]

Converting to its simplest form, divide numerator and denominator by 2 = 1/12

P = 312.50

t = 9

r = ?

P(t) = P(9) = 1250

P(t) = Pe^(rt)

P(t) = Pe^(rt)

1250 = (312.50)e^(9r)

1250/312.5 = e^(9r)

4 = e^(9r)

ln(4) = ln(e^(9r))

ln(4) = (9r)ln(e)

[cancel out the e with ln on right side]

ln(4) = (9r)

ln(4) /9 = r

0.15 = r

The compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.

A savings account is a type of account where an individual can save money for future purposes.

Here we havethe following information;

Principal = $312.50

Time = 9 years

Amount =  $1250.

rate = ?

Using the formula;

A = P(1 + r/n)^nt

Where n =1

1250 = 312.50( 1 + r)^9

1250/312.50 = ( 1 + r)^9

4 = ( 1 + r)^9

1.16 = 1 + r

r = 1.16 -1

r = 0.16 or 16%

Learn more about compound interest: https://brainly.com/question/9904853?

Answer:

52

Step-by-step explanation:

Answer:

2.16

Step-by-step explanation:

Answer:

15$ total 3$ tip

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:62.5%

Step-by-step explanation:

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

Answer:

the answer is 20

Step-by-step explanation:

in the question they want the shortest side length of the triangle and they gave you the perimeter.

what we want to find is the x value.

so,

perimeter= the sum of all sides.

substituting,

80= 5x + 32 + 2 (3x+2)

80= 5x +32+6x+4

80=11x+36

80-36=11x

44=11x

44/11=x

4=x

so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.

5*4=20

32

2 (3*4+2)=28

so the shortest length is 20.

we can also check our answer to see if it is correct.

20+33+28= 80.

Answer:

try clicking on another option?

Answer:

a) 12.5 in

b) 9.6 ft

Step-by-step explanation:

Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.

You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!

Hope this helps! :)

Answer:Im pretty sure it's 25% percent loss

Step-by-step explanation:

sorry if im wrong

Answer: A: find the product of D and $2.25 and the product of t and $0.75. Then find the sum of the two products.

The total fare for the bus can be found by first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

The total fare for the bus can be calculated using the expression

d × 2.25 + t × 0.75

Here d is the total days that Kelly worked in a month.

On each of these days, she pays a fare of $2.25.

Total fare now = d × 2.25

Find this product.

There is also an additional fare of $0.75 to transfer onto another bus on t of these days.

Additional fare = t × 0.75

Find this product.

Add the resultant both products.

Hence the statement which explains how to find Kelly's total bus fare for the month is first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

Learn more about Expressions here :

https://brainly.com/question/28172855

#SPJ2

Answer:

40

Step-by-step explanation:

it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry

Answer:

Hi! The answer to your question is C. 4

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

Answer:

6.8cm

Step-by-step explanation:

I dont have an explanation

Answer:

C is the answer

Step-by-step explanation:

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

[tex]$=\frac{48}{2}$[/tex]

= 24 feet

a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]  

                                         = 10 feet

b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]

                                     [tex]$=\frac{10}{24}$[/tex]

                                     [tex]$=\frac{5}{12}$[/tex]

c). The percent of the roof used as overhung is

     [tex]$=\frac{4+4}{60}\times 100$[/tex]

     [tex]$=\frac{80}{6}$[/tex]

       = 13.33 %

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.