8. How tall do the people in your immediate
and extended family tend to be?

Answer:

Step-by-step explanation:

Given system:

Solve by substitution:

We got correct equation without variables.

It means the equation is correct for any value of variables, the lines are same and overlap.

So there are infinitely many solutions.

The amount of stickers bought in the sticker exchange is an illustration of factors

There were 47 people in the sticker exchange

The number of stickers is given as:

Stickers = 141

Next, we list the factors of 141 in pairs

(x,y) = (1,141), (3,47), (47,3) and (141,1)

Each person bought more than 1 sticker.

So, we have:

(x,y) = (3,47) and (47,3)

Hence, we can conclude that there were 47 people in the sticker exchange

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Answer:

Since there is 25 students and 8 ounces there you have to do 25 times 8 which equals 200

Answer:

false

Step-by-step explanation:

42 is not divisible by 5

Answer:

False

Step-by-step explanation:

5 does not go into 42

Answer:

Rate of change per year = $5300

Step-by-step explanation:

Step 1: Substitute the variable P for the invested amount

    1. A(t) = 5000(1.06)t

    2. A(t) = (5300)t

Step 2: Substitute the variable t for the first 15 years

    1. A(15) = (5300)(15)

    2. A(15) = 79,500

Step 3: Substitute the variable t for the 20 years

    1. A(20) = (5300)(20)

    2. A(20) = 106,000

Step 4: Find your two ordered pairs and relation

    First ordered pair: (15, 79,500)

    Second ordered pair: (20, 106,000)

    Relation: {(15, 79,500), (20, 106,000)}

Step 5: Find the slope or rate of change between 15 and 20 years

    Let (y₁, x₁) = (15, 79,500)

    Let (y₂, x₂) = (20, 106,000)

    1. Use the slope expression: y₂ - y₁/x₂ - x₁

    2. Substitute the correct values into the expression:

         106,000 - 79,500/20 - 15

    3. Simplify: 26500/5 = 5300

    4. Hence, the rate of change in dollars per year is $5300

Answer:

PS = 7

SQ = 7.125

m<QTR = 115

m<TQR = 32.5

Step-by-step explanation:

To find PS, you need to take the measurement from QR [stated in the problem] which is 7 feet.

To find SQ, you need to take the measurement from RT [stated in the problem as 3 9/16] and then multiply it by 2 as SQ is 2 times longer than RT, which means SQ = 7 1/8 or 7.125 [since it needs to be a decimal]

To find m<QTR, you need to take the measurement from m<RTS, and since those 2 angles together equal 180, you need to subtract 65 degrees [from m<RTS] from 180, resulting in 115 degrees.

To find m<TQR, you need to know that a triangle has 180 degrees within it.  Then you need to find one angle.  We know the wider angle, <T = 115 degrees, so then we have to do 180 - 115, which equals 65 [that is the total for the 2 remaining equal corners], then we just have to divide by 2, which equals 32.5 degrees.

Answer:

the value of X is 70

Step-by-step explanation:

45 + 2x - 5 = 180

combine common stuff (45 and -5)

40 + 2x = 180

-40 -40

2x=140

/2 /2

x = 70

Answer:

The student only counted the shaded blocks

Step-by-step explanation:

[tex]3 \div \frac{1}{4} = 3 \times \frac{4}{1} = \frac{12}{1} = 12[/tex]

so it would be

[tex] \frac{3}{12} = \frac{1}{4} [/tex]

The new value would be the starting value x 1 + interest rate:

New value = starting value x 1.06

The new value is 530:

530 = starting value x 1.06

Find the starting value by dividing the new value by 1.06:

start value = 530/1.06

Start value = 500

Answer: $500.
explain reasoning: because the bond is only one year old you would multiply the value of the bond by the interest rate and add the interest amount to the bond to get $530.

The value of the apartment in 6 years is $104,527.46.

The value of the apartment appreciates (increase in value) by 6% every year. The formula that can be used to determine the future value of the apartment is:

FV = P (1 + r)^n

Where:

$78,000(1.05)^6 = $104,527.46

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The worth of the apartment after 6 months is =$23,400

The original amount of the apartment(p) = $78,000

The rate of increase of the value of the apartment is(r)= 5%

Time(t) = 6years

But simple interest =

[tex]si = \: \frac{p \times t \times r}{100} [/tex]

[tex]si = \frac{78000 \times 6 \times 5}{100} [/tex]

[tex]si = \frac{2340000}{100} [/tex]

si = $23,400

Therefore, the worth of the apartment after 6 months is =$23,400

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Given:

[tex]X = {0,1,2,3,4} \\ Y = {2,4,6,8,10,12} \\ Z = {3,6,9,12,15}[/tex]

So,

[tex]X∪Y = (0,1,2,3,4) \: ∪ \: (2,4,6,8,10,12) \\ = > (0,1,2,3,4,6,8,10,12)[/tex]

[tex]X∩Z = (0,1,2,3,4) \: ∩ \: (3,6,9,12,15) \\ = > (3)[/tex]

[tex](X∪Y)∩Z = (0,1,2,3,4,6,8,10,13) ∩ (3,6,9,12,15) \\ = > (3,6)[/tex]

Using the generic set operations, we will see that:

For two given sets A and B, we define:

A ∪ B as the union of the two sets, this is the set that contains all the elements from both A and B.

A ∩ B is the intersection of A and B, this set contains only the common elements of A and B.

Now we want to complete the given table:

1) X U Y is the union of sets X and Y (we do not repeat elements) so this is equal to:

{0, 1, 2, 3, 4, 6, 8, 10, 12}

2) X ∩ Z is the intersection of X and Z, the only common element between these sets is 3, then:

X ∩ Z = {3}

3) (X U Y)∩ Z

Is the set of the common elements between:

X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}

Z = {3, 6, 9, 12, 15}

The common ones are:

3, 6, and 12, then we have:

(X U Y)∩ Z = {3, 6, 12}

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Answer:

If this car wash took 4 hours to detail 144. 144/4 = 1/36 meaning that every hour they would detail 36 cars, we can double-check this and multiply 36 by 4 and we will get 144 meaning that this is true and that this car wash detailed 36 cars in an hour.

Answer:

28.26

Step-by-step explanation:

Area of a circle is pi * radius squared

The diameter is 6, so the radius is 3

pi * 3^2 = 3.14 * 9 = 28.26

Answer:

[tex]b=3\sqrt{13}[/tex]

Step-by-step explanation:

Segment Addition Postulate:

[tex]\bar{PY}=\bar{MP}+\bar{MY}[/tex]

Substitute MP = 4, MY = 9 into PY = MP + MY:

[tex]\bar{PY}=4+9[/tex]

Calculate PY = 4 + 9:

[tex]\bar{PY}=13[/tex]

Representing same angles:

[tex]cos A = leg adjacent to <A/hypotenuse:

[tex]cos(Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:

[tex]cos(Substitute <DYP=<DYM into cos(<DYP)=b/13:

[tex]cos(cos A=leg adjacent to <A/hypotenuse:

[tex]cos\left(Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:

[tex]\frac{b}{13}=\frac{9}{b}[/tex]

Calculate b/13=9/b:

[tex]b=3\sqrt{13}[/tex]

I hope this helps you :)

Answer:

3x+7>34

Step-by-step explanation:

more than means+and the times means multiple

The volume of the triangular prism is 58.32 in³

Volume is the amount of space occupied by a three dimensional object.

The volume of a triangular prism is given by:

V = Area of triangle * height

Area of triangle = (1/2) * 10.8 * 7.2 = 38.88 in²

Volume of prism = 38.88 * 1.5 = 58.32 in³

The volume of the triangular prism is 58.32 in³

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Answer:

58.32in3

Step-by-step explanation:

i did the test

Answer:

see step-by-step below

Step-by-step explanation:

1)  y - 2 > 3

Add 2 to both sides:   y > 5

2) y ≤ 2

Draw a closed circle at y = 2 then shade the numbers to the left

3) y ≥ 250

where y = savings

4) The image isn't very clear, so I can't tell if it's a closed or open circle on -4.

If it is closed, it will be y ≤ -4

If it is open, it will be y < -4

5) -4 < f

Draw an open circle at f = -4 then shade the numbers to the right

6) x < -3.5

Draw an open circle at x = -3.5 then shade the numbers to the left

7) closed circle ... shade to the left of 8 ... make y  equal to or less than 8.

8) F ≤ 6

C - closed circle at 6 with shaded numbers to the left

9) y > 2.75

Betty saved more than $2.75 every month

10) 1 + x < 5

Subtract 1 from both sides:  x < 4

11) x ≥ -2.5

12) 1 ≤ m means that m is equal to or greater than 1

solutions:  4, 1, 2.3

Answer:

x = -8

Step-by-step explanation:

If the line is perpendicular to y = 9 then it will be x = ?

Given the line passes through (-8, 11), then the x-coordinate is -8, so the equation will be x = -8

Answer: distributive property

Step-by-step explanation:

hope it helps u!!

Pls mark me brainliest

Answer:

x = -3

y = 7

Step-by-step explanation:

4y + 2 = 30

x - 4y = -31

Simplify the first equation by subtracting 2 from both sides:

4y = 28

Divide both sides by 4

y=7

Plug 7 in for y to solve for x:

x - 4(7) = -31

x - 28 = -31

Add 28 to both sides

x=-3

(x,y)=(-3,7)

Answer:

5 cups of lemonade

Step-by-step:

Let's first make an equation from the question.

$10 = muffins (x)

$2 = cups of lemonade (y)

$10x + $2y = $50

x= 4

y= 5

Plug in the numbers:

$10(4) + $2(5) = $50

Answer:

150x2/ [3] = 100

55 - [-22.5] x 2 = 100

84 x 4 - [6] = 330

200 + [8] - 10 = 198

Step-by-step explanation:

Hope this helps

Answer:

1. 3
2. 5
3. 6
4. 8

Step-by-step explanation:

I do not think BODMAS or BIDMAS applies in these questions otherwise it would be impossible

Answer:

21/50 ,43.7%, 87/200,0.44

Step-by-step explanation:

Answer:

a: 42%

b: don't have the info for

c: 48%

d: don't have info for

e: don't have info for

f: don't have info for

Step-by-step explanation:

sorry I cant answer everything

axis of symmetry: x=1.5

vertex: (1.5,-4.75)

Answer

$1,004.8

Step-by-step explanation:

hope this helps

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$12560\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (12560)(0.02)(4)\implies I=1004.80[/tex]

Answer:

81.6 inches squared

Step-by-step explanation:

The formula for calculating all parallelograms is Area+=base*height.

The height is given to you, 6.8, the base of the figure is also given, 12.

Now all you have to do is to multiply.

That would get you to 81.6.

(When asked for area of parallelogram, the length of any line other than the height and base is not needed)

hoped this helped!

Answer is median because aas you can see as the line if divided by its hald angle it equals a median angle.