1. Juanita is thinking of two positive whole
numbers. The sum of the whole numbers
is 15. How many possible whole number
combinations are there?

Answer:

[tex]\frac{1}{a} =\frac{1}{b} +\frac{1}{c} \\ \\\frac{1}{a} = \frac{1}{3} + \frac{1}{2/3} \\\\\frac{1}{a} = \frac{1}{3} + \frac{3}{2}\\\\\frac{1}{a} = \frac{11}{6}\\\\a = \frac{6}{11}[/tex]

Answer:

C

Step-by-step explanation:

Blue line:

[tex](-4, 0), (0, -2) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 2)}{-4 - 0} = \frac{2}{-4} = -\frac{1}{2}\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -2\\y = mx + c\\y = -\frac{1}{2}x - 2\\2y = -x - 4\\x + 2y = -4[/tex]

Red line:

[tex](5, 0), (0, -5) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 5)}{5 - 0} = \frac{5}{5} = 1\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -5\\y = mx + c\\y = 1x - 5\\y - x = -5\\-y + x = 5\\x - y = 5[/tex]

The complete factored  form of the quadratic expression is (x-8y)(x-8y)

Quadratic expressions are expressions that has a leading degree of 2

Given the expression

x^2 – 16xy + 64y^2

Factorize

x^2 - 8xy - 8xy + 64y^2

Group

(x^2 - 8xy) - (8xy + 64y^2)

x(x-8y) - 8y(x - 8y)

Since (x-8y) is common, hence;

x^2 - 8xy - 8xy + 64y^2 = (x-8y)(x-8y)

The complete factored  form of the quadratic expression is (x-8y)(x-8y)

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Answer:     c on edg

Step-by-step explanation:

[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

75 miles

Step-by-step explanation:

On map

The distance between Milwaukee and Muskegon is 1.5 inches

While in real

1 inch = 50 miles

So the actual distance will be

1.5 × 50

75 miles

Answer:

75 miles

Explanation:

Here map to actual to scale: 1 inch = 50 miles

To find actual distance, simply multiply map distance by scale factor

Actual Distance : 1.5 × 50 = 75 miles

Answer:

Step-by-step explanation:

Answer:

C.20

Step-by-step explanation:

12+10+8+10+20=60

60/5=12

(5 is the number of numbers, 12,10,8,10,20)

Answer:

5.7 meterslong and 5.8meters width

Answer:

42

Step-by-step explanation:

To fine the value of the expression 4m-6 when m = 12, we can plug our value for x (12) into or expression, and then simplify.

So first,

4(12) - 6

Multiply our 4 and 12 ==>

48 - 6

Now subtract the 6 ==>

42

And we have our answer!

Hope this helped!

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

          Evaluate 4m-6 for m=12

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The value of the expression is 30.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

Simply write the value of m in lieu of m and simplify:-

4(12)-6

Multiply 4 times 12 first, then subtract 6:-

36-6

[tex]\fbox{30}[/tex]

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Answer:

1. 8

2. 7.8

3. 7

4. 9.3

Step-by-step explanation:

6+10/2=8

8.5+7/2=7.8

6+8/2=7

9+9.5/2=9.3

Answer: 24

Step-by-step explanation: 24 divided by 8 = 3. Hope this helped.

Answer:

The area is 292.5 cm2

Answer:

12.56 m²

Step-by-step explanation:

Given,

π = 3.14

d = 4m

To find : A

Formulas : -

1 ) r = d/2

2 ) A = πr²

r = 4 / 2 = 2m

A = πr²

  = 3.14 x 2²

  = 3.14 x 2 x 2

A = 12.56 m²

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: a = \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {4}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 12.56 \: \: m {}^{2} [/tex]

Answer:

1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont know but i need the answer now

Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.

A linear function is modeled by:

y = mx + b

In which:

In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.

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Answer:

450 in ^3

Step-by-step explanation:

V=1/4h (to the root)﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4

a-5

b-13

c-12

h-15

so put these numbers into the formula.

You get 450 as your answer.

I hope this helps, have a lovely day.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the slope of the line passing through points (3, -2) and (3, 10)?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

We can use the slope formula:-

[tex]\boxed{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\boxed{\frac{10-(-2)}{3-3}}[/tex]

[tex]\boxed{\frac{12}{0}}[/tex]

undefined

Remember, if we divide a number by zero, the result is infinity, and infinity is not a number.

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Answer:

hexagon

Step-by-step explanation:

cross section of the cuboid

the hmmm cheap way to go about is, usually using the x = 1 and x = 0 pairs.

[tex]y = ab^x\hspace{5em} \begin{array}{|rr|ll} \cline{1-2} x&y\\ \cline{1-2} -2&1\\ -1&3\\ 0&9\\ 1&27\\ 2&81\\ \cline{1-2} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=9 \end{cases}\implies 9~~ = ~~ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27~~ = ~~9b^1\implies \cfrac{27}{9}=b^1\implies 3=b~\hfill \underline{y=9(3)^x}[/tex]

Answer:

[tex]\sf \boxed{\sf \frac{3}{2} } \ miles \ per \ day[/tex]

Explanation:

[tex]\sf unit \ rate: \dfrac{Total \ distance \ (miles)}{Total \ time \ taken \ (day)}[/tex]

Here given:

[tex]Total \ Distance : 8\dfrac{1}{4} \ or \ 8.25[/tex]

[tex]Total \ Time \ taken : 5\dfrac{1}{2} \ or \ 5.5[/tex]

Find unit rate:

[tex]\rightarrow \sf unit \ rate: \dfrac{8.25 }{5.5 }[/tex]

[tex]\rightarrow \sf unit \ rate: 1.5 \ miles \ per \ day[/tex]

Unit rate

Answer:

11285

Step-by-step explanation:

Answer:

11,285

Step-by-step explanation:

Line up the numbers so that ther columns add up.

Add the two numbers in the column starting from the right.

The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.

Repeat the steps above till there are no columns left.

The amount will be equal to $14478.22.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

A = P (1+R/2)^2t

Where, A = Amount after 6 years = $26,000; P = Amount invested now; R = Annual rate of earning = 10% = 0.06; t = time = 6 years.

Substituting;

[tex]26000 = P(1+\dfrac{0.1}{2})^{2*6}=P(1.7958)[/tex]

Therefore, P = 26000/1.7958 = $14478.22

Thus amount will be equal to $14478.22.

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The value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

1 [tex]$\frac{5}{7}[/tex] and 3 [tex]$\frac{1}{4}[/tex]

On multiplying the expression, we get -

1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex]

(12/7)  x  (13/4)

39/4

9 [tex]$\frac{3}{4}[/tex]

The value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

Therefore, the value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

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Answer:

2/3

Step-by-step explanation:

log27(9)

Factor the number: 27=3³

= log3³(9)

Apply log rule: loga^b(x) - 1/b loga(x).

log3³(9) =1/3 log3³(9)

=1/3 log3³(9)

Factor the number: 9=3²

=1/3 log3³(3²)

Apply log rule: loga(a^b) =b

log3 (3²) =2

1/3×2

=2/3

Answer: I hope this helps!:)

Step-by-step explanation: