Complete the division sentence

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

Answer:

the answers are bolded below!

Step-by-step explanation:

1. y-y1=m(x-x1)

line one- 14-4/6-1 = 10/5 = 2

so....     y-1=2(x-4)

simplified     y=2x-7

line two- -2-23/1-6 = -25/5 = -5

so.....      y-6=-5(x-23)

simplified         y=-5x+121

b- they will intersect 1 time at (18.2,29.5)

2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.

3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.

4. y=-2x+7 ------> x=-1/2y-7/2

y=-3(-1/2y+7/2)+8  -----> y=5

y=-2x+7 --->   5=-2x+7  ----> x=1

one solution at (1,5) because f graphed, the lines would only intersect once.

b- x=5

3x-y=5   --->   3(5)-y=5   --->   y=10

one solution at (5,10) because f graphed, the lines would only intersect once.

c- no solutions because if it were to be graphed, the lines would not intersect at all.

d- no solutions because if it were to be graphed, the lines would not intersect at all.

e- no solutions because if it were to be graphed, the lines would not intersect at all.

i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!

Answer:

Split the equation into two equations:

4x - 3 ≤ 7

or

-(4x - 3) ≤ 7

The overall solution is the combination of the two individual solutions.

Answer:

Step-by-step explanation:

Given points:

Ratio of partitioning:

Use of formula:

Substitute values:

Answer:

The answer is Q

Step-by-step explanation:

√10= 3.16

Answer:

Step-by-step explanation:

1 foot = 12 inches

12 inches/ 48 inches = 1/4 foot

or  1 foot/4 feet = 1/4 foot

Answer:

y = 12 [tex](2.9)^{x}[/tex]

Step-by-step explanation:

The standard form of the exponential function is

y = a [tex](b)^{x}[/tex]

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so

a = 12, then

y = 12 [tex]b^{x}[/tex]

Using (1, 34.8 ) , then

34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )

b = 2.9

Thus exponential function is

y = 12 [tex](2.9)^{x}[/tex]

Answer:

∠m = 84º

Step-by-step explanation:

48 + 48 + x = 180

96 + x = 180

x = 84º

hope this helped!

Answer:

∠m = 84º

Step-by-step explanation:

Answer:

There would be 1080 bacteria in the culture.

Step-by-step explanation:

Initial number of bacteria = 40

Given that

culture of bacteria triples by the end of each hour

Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)

Number of bacteria after 1 hour = 120

number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120

number of bacteria after 2 hours =360

number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080

Thus,

there would be 1080 bacteria in the culture.

Answer:

1080 bacteria

Step-by-step explanation:

Answer:

3 < x < 7

Step-by-step explanation:

From the diagram; |AB| = |AC|

The length AB is calculated as;

[tex]Sin\ 52^o = \frac{|BD|}{|AB|} \\\\|AB| = \frac{|BD|}{Sin\ 52^o} \\\\|AB| = \frac{12}{Sin\ 52^o} \\\\|AB| =15.228 \ m[/tex]

The length CD is calculated as;

[tex]Sin \ 31^o = \frac{|CD|}{|AC|} \\\\|CD| = |AC| \ \times \ Sin \ 31^o \\\\|CD| = 15.228 \ \times \ 0.515\\\\|CD| = 7.84[/tex]

|CD| = 2x - 6

2x - 6  = 7.84

2x = 7.84 + 6

2x = 13.84

x = 13.84 / 2

x = 6.92

x ≅ 7

Thus, 3 < x < 7

Answer:

24.3

Step-by-step explanation:

its really hard to explain but trust me

Answer:

The tree would be 27.6

Step by Step:

I took the height of the mailbox (6 ft) and its shadow (5.4) and subtracted that and got 0.6. Then I took 0.6 and added it to the shadow of the tree (27 ft) and got the answer 27.6.

lets the length be 3x

width be 5x

perimeter = 48

so

3x +5x=48

8x = 48

x =48/8

x= 6

so.

3x = 3×6 = 18

5x = 5×6= 30

hope it will be helpful

Answer:

1. 3 inches per hour

2.72 miles per hour

Answer:

1. 3 2. 72

Step-by-step explanation:

For number 1 and 2 you have todivide them

Answer:

drag  10 to the

Step-by-step explanation:

Answer:

In order from left to right (each slash will be one line on the number line.)

Step-by-step explanation:

-10   -9            -7           -5      -4                -2           0

/____/___/___/__/___/____/___/_____/__/___/

Answer:

To answer your question use the code ICE on here to get your answer works every time for me hope this helps

8 = 2³ and 32 = 2⁵, so

√(8) = √(2²•2) = 2√(2)

√(32) = √(2⁴•2) = 2²√(2) = 4√(2)

Then

1/√(2) + 3/√(8) + 6/√(32)

= 1/√(2) + 3/(2√(2)) + 6/(4√(2))

= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))

= 16/(4√(2))

= 4/√(2)

Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get

4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)

which you can also write as √(8).

Answer:

y = 2x - 12 or A

Step-by-step explanation:

6x - 3y = 36                        Subtract 6x from both sides.

-3y = 36 - 6x                       Divide by - 3

-3y/-3 = 36/-3 - 6x/-3

y = -12 + 2x

The answer is A

Answer:

33 days

Step-by-step explanation:

15 + 18 = 33

Answer: (0,8)

Step-by-step explanation:

Convert to slope intercept form

-y+8=2x

-y=2x-8

y=-2x+8

Therefore 8 would be the y intercept

Answer:

2y+18-3x

Step-by-step explanation:

Answer:

2y +18 -3x

Step-by-step explanation:

-5y +7y +18 -3x

-5y -5y            

2y +18 -3x

Answer:

B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation:

When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

Answer:

Answer: B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation: When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

Answer:

D

Step-by-step explanation:

Answer: y = 0.5x + 2.5

I took the test and got it right

Answer: y = 0.5x + 2.5

Step-by-step explanation: look at picture VVV VVV VVV

for the first one it is the second option because of one property of logarithms:

log(a)-log(b)=log[tex]\frac{a}{b}[/tex]

for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm

loga(b)^x=xloga(b) the power of the logarithm becomes a fator and [tex]\sqrt[3]{x}[/tex] is equal to [tex]x^{\frac{1}{3}}[/tex]

y=1-i

x=-3/2-i/2

thats what it should be

Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]

Answer:

C

Step-by-step explanation:

To find the volume of a cube, raise the value of one side to the third power. 2.5 centimeters to the third power is 15.625, which can also be expressed as the fraction 125/8

Answer: choice C

Step-by-step explanation:

Since V = s^3

And side length = 2.5

V = (2.5)^3

V = 15.625

V = 125/8 cm^3