What is the value of Z?

12 1/2 years

Step-by-step explanation:

Let the unknown be n. Then 40+n = 3(5+n).

Performing the multiplication:

40+n = 15+3n

Isolate n and combine the constant terms:

25=2n, so n= 25/2 years

Answer:

A. 35 square centimeters

Step-by-step explanation:

The area of a triangle is (b*h)/2.

7 * 10 = 70

70/2 = 35

Answer:

the length is 8cm???

Step-by-step explanation:

its kind of obvi (i Think)

Answer:

[tex]P(pink) = P(pink |\ female) = 0.6[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{} & {Male} & {Female} & {Pink} & {156} & {72} \ \\ {Yellow} & {104} & {48} \ \end{array}[/tex]

Required

Why [tex]prefers\ pink\ lemonade[/tex] and [tex]female[/tex] are independent

First, calculate [tex]P(pink |\ female)[/tex]

This is calculated as:

[tex]P(pink |\ female) = \frac{n(pink\ \&\ female)}{n(female)}[/tex]

[tex]P(pink |\ female) = \frac{72}{48+72}[/tex]

[tex]P(pink |\ female) = \frac{72}{120}[/tex]

[tex]P(pink |\ female) = 0.6[/tex]

Next, calculate [tex]P(pink)[/tex]

[tex]P(pink) = \frac{n(pink)}{n(Total)}[/tex]

[tex]P(pink) = \frac{156 + 72}{156 + 72 + 104 + 48}[/tex]

[tex]P(pink) = \frac{228}{380}[/tex]

[tex]P(pink) = 0.6[/tex]

So, we have:

[tex]P(pink) = P(pink |\ female) = 0.6[/tex]

Hence, they are independent

Answer:

P(pink lemonade | female) = P(pink lemonade) = 0.6.

Step-by-step explanation:

A

Answer:

Step-by-step explanation:

1,

-10,20,-40,80,...

common ratio=20/-10=-2

it is a geometric sequence.

2.

15,-5,-25,-45

common difference=-5-15=-20

it is an arithmetic sequence.

Answer:

number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 4 is shown. Above this, another arrow pointing from negative 4 to negative 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow

Answer:

you would divide an equation from the multiple and then you would simplify the equation for an answer

Answer:

The first one: 3x+4=-2x-1

Step-by-step explanation:

3(-1)+4=1

-2(-1)-1=1

Answer:

$40000

Step-by-step explanation:

The nearest thousand dollar is rounding the thousand value from its hundred value, which in this case is 4. Since 4 is less than half of 10, the thousand value must round down to $40000.

Answer:

$40000.00

Step-by-step explanation:

Report this answer if its incorrect ^_^

Answer:

D. 160

Step-by-step explanation:

Answer:

Is it the answer is C?

2+4+3+5+1=15

Answer:

44 kg, and since both sold the same amount so did A.

Let me know if this method doesn't make sense though and I should be able to explain it.

Step-by-step explanation:

Both shops sold the same amount, let's call it x.

At the end, let's say shop B had y left, this means A would have 4y left, since the question says "After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B"

So this means A started with 156, sold x and was left with 4y, or in math 156 - x = 4y

B you could write 72 - x = y

Now you have a system of equations.

156 - x = 4y

72 - x = y

There are a number o ways to look at this.  If you graph them you want the (x, y) coordinates where they intersect, or in other words the x and y values that work for both of these equaions.  

The methods all wing up making you solve for one variable and plugging it into the other equation to solve for the other.  The easiest method is probably canceling out.

156 - x = 4y

72 - x = y

Now, for these two the goal is to make one of the variables go away by adding or subtracting one equation from the other.  You could also multiply one by something.  In fact here are all possibilities.  

If you subtract one from the other here is what would happen.

156 - x = 4y

-(72 - x = y)

_________

156 - x = 4y

-72 + x = -y because you distribute the minus sign

_________

84 = 3y because 156-72 = 84, -x + x = 0 so they canceled out and 4y - y = 3y

28 = y because you divide both sides by 3.

It's all just algebra after the addition/ subtraction.  You could also do it the other way subtracting 156 - x = 4y from 72 - x = y.  Either way would cancel the xs.  But now that you know y = 28 you can plug that into either of the equations again to find x.

156 - x = 4y

156 - x = 4(28)

156 - x = 112

156 = 112 + x

44 = x

72 - x = y

72 - x = 28

72 = 28 + x

44 = x

Now, if you wanted to cancel the ys initially you would have to multiply.

156 - x = 4y

72 - x = y

Normally subtracting just got rid of the xs.  You would need to multiply the bottom one by 4 to get rid of ys.

156 - x = 4y

288 - 4x = 4y

Now if you subtracted one from the other the 4ys would cancel.  You could also divide the top one by 4 and get

39 - x/4 = y

72 - x = y

here you have a fraction though and that's gonna make things a little more difficult.

Let me know if this method doesn't make sense though and I should be able to explain it.

1) 520

2)60

3)2600

4)3760

Answer:

1. 520

2. 60

3. 2600

4. 3760

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

Answer:

C= 15

Step-by-step explanation:

[tex] \frac{9}{5} C + 32 = 59 [/tex]

subtracting 32 from both sides

[tex] \frac{9}{5}C = 59 -32 [/tex]

[tex] \frac{9}{5} C = 27[/tex]

Dividing both sides by 9/ 5

[tex]C = 27 \times \frac{5}{9} [/tex]

[tex]C = 3 \times 5[/tex]

[tex]C = 15[/tex]

Answer:

107,100

Step-by-step explanation:

[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

Step-by-step explanation:

Hey there!

According to the question;

Perimeter of rectangle (p) = 154 m

Let the breadth of rectangle be "X" then length will be 2x+2.

Then;

Perimeter (p) = 2(l+b)

154 = 2((2x+2) + x)

154 = 2(3x+2)

154 = 6x + 4

or, 6x = 154-4

or, X = 150/6

Therefore, X= 25.

Hence;

Length = 2*25+2 = 52 m

Breadth = 25 m

Hope it helps!

We can assume,

Perimeter of rectangle = 154 m

Breadth = x

Length = 2x + 2

Now, perimeter = 2(l+b)

[tex] \sf \to 154= 2((2x+2) + x)[/tex]

[tex] \sf \to 154 = 2(3x+2)[/tex]

[tex] \sf \to 6x = 154-4[/tex]

[tex] \sf \to x = \frac{150}{6} = 25[/tex]

Then,

Breadth = 25 m

Length [tex] \sf = 2x + 2[/tex]

[tex] \sf \to (2 \times 25) + 2[/tex]

[tex] \sf \to 52 \: m[/tex]

Answer:

Step-by-step explanation:

Using the Law of Sines, our proportion would be

[tex]\frac{sin24}{a}= \frac{sin55}{3}[/tex] and cross multiply to get

3sin24 = asin55 and solve for a:

[tex]a=\frac{3sin24}{sin55}[/tex] so

a = 1.49, the first choice.

Answer:

p = -1          q = -2

Step-by-step explanation:

3p - 7q = 11      -7q = -3p + 11           q = 3/7p - 11/7

2p - 5(3/7p - 11/7) = 8

2p - 15/7p + 55/7 = 8

-1/7p + 55/7 = 8

-1/7p = 1/7

p = -1

2(-1) - 5q = 8

-2 - 5q = 8

-5q = 10

q = -2

Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

[tex]71=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].71=e^{-.0001t}[/tex] and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

[tex]\frac{ln(.71)}{-.0001}=t[/tex] and

[tex]\frac{-.3424903089}{-.0001}=t[/tex] so

t = 3424.9 years, or rounded, 3425 years.

Answer:

Step-by-step explanation:

Let one angle = A

Let the other angle = B

A + B = 180

A = B - 16.4                   Substitute for A in the top equation

B - 16.4 + B = 180         Combine the left

2B - 16.4 = 180             Add 16.4 to both sides

2B = 180 + 16.4

2B = 196.4                    Divide by 2

B = 196.4/2

B = 98.2

A = B - 16.4

A = 98.2 - 16.4

A = 81.8

Answer:

[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]

please mark as brainliest

Answer:

answer is subtract i am on the test right now!

Answer:

2.39

Step-by-step explanation:

Convert everything to a decimal.  

To do that with a fraction divide the numerator by the denominator.  

185 divided by 100 = 1.85

185/100 = 1.85

To convert a percent to a decimal divide the number by 100.

50 divided by 100 = 0.5

50/100 = 0.5

4 divided by 100 = 0.04

4/100 = 0.04

Now add:

1.85 + 0.5 + 0.04 = 2.39

Answer:

angles Q and Q' are congruent, angles R and R' are congruent

Step-by-step explanation:

For two triangles to be congruent, we need to show is two of the  

1. corresponding angles are congruent,

or,

2. all three pairs of corresponding sides are proportional,  

or,

3. two pairs of corresponding sides are proportional AND the included angles are congruent.  

And, angles are always congruent when a figure is dilated

(satisfies the first criterion that at least two corresponding angles are congruent)

Answer:

a

Step-by-step explanation:

thats not how u find the lengths

Hello,

Answer D

ax-b < -c or ax-b >c

If ax-b >0 then |ax-b| = ax-b ==> ax-b > c

if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c

The equivalent compoud inequality is (d) ax - b > c or ax - b < -c

The absolute value expression is given as:

| ax -b | > c

Given that c > 0, then it means that:

| ax -b | > 0

So, we have the following inequalities from | ax -b | > c

Hence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c

Read more about compoud inequality at:

https://brainly.com/question/24544713

Answer:

-4sin(4x-3)

Step-by-step explanation:

Given y = cos u, u = 4x - 3

dy/dx = dy/du * du/dx

dy/du = -sinu

du/dx = 4

dy/dx = -4sinu

since u = 4x - 3

dy/dx = -4sin(4x-3)