Area of a square is 81 ft.² what is the side length in units.

Answer:

multiply all of them then add all of them then divide by the lowest number

12:1 is the scale factor

3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1

Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.

Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio

To check go to:

https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html

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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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The quotient of the expression,

9(7y - 15) /  (110 - 6y ÷ 4) is 18(7y - 15) / (55 - y).

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

We have an expression,

9(7y - 15) /  (110 - 6y ÷ 4)

Simplifying,

9(7y - 15) /  (110 - 6y ÷ 4),

= 9(7y - 15) x 4 / (110 - 6y)

= 36(7y - 15) / (110 - 6y)

= 18(7y - 15) / (55 - y)

Therefore, the quotient is 18(7y - 15) / (55 - y).

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Answer:

9/10 of a paragraph in a minute

Step-by-step explanation:

find out how much he can type in 1/3 of a minute

(3/5)/2     3/5=6/10    (6/10)/2   3/10

(3/10)*3=9/10

Answer:

9/10

Step-by-step explanation:

hope it worked

Answer:

n +2

Step-by-step explanation:

If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.

Since the smallest number is n,

2nd consecutive number= n +1

3rd consecutive number

= n +1 +1

= n +2

Thus, the expression for the largest number is n +2.

Let's check!

If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.

3rd consecutive number

= n +2

= 1 +2

= 3 (✓)

Thus, the expression is correct.

Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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Answer:

6x^2 + 23x + 21

Step-by-step explanation:

3x+7 x 2x+3

= 3x(2x) + 3x(3) + 7(2x) + 7(3)

= 6x^2 + 9x + 14x + 21

= 6x^2 + 23x + 21

Answer:

25 percent

Step-by-step explanation:

There is 12 spots on the chart

3 of these spots are green or 3/12

3/12 is equivalent to 1/4

1/4 of 100 in 25 percent

Answer:

0,4

Step-by-step explanation:

Answer: Price of the car= $26304

Monthly payments= 24

Just divide

26304/24 which equals $1096

Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

B. Emergency Funds

Step-by-step explanation:

Because Emergency funds are only meant to be used for unforeseen expenses

Answer:

Emergency funds.

Step-by-step explanation:

Answer:

(2, 4)

Step-by-step explanation:

Anytime you rotate a point 180° about the origin, the x-coordinate and y-coordinate become their opposites.

(x,y) becomes (-x,-y)

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

Answer:

667.38

Step-by-step explanation:

28,000 loan amount

4 years

6.76%

Answer:

a.

$567.27

Step-by-step explanation:

Edge 2020

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

Answer:

217.5 liters

Step-by-step explanation:

15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters

Answer:

a) P(x=5) = 0.2456

b) P(x≥6) = 0.3526

c) P(x<4) = 0.1887

Step-by-step explanation:

We can model this as a binomial experiment, with sample size n=10 and p=0.49.

To calculate the probability of having k subjects with very little confidence in the sample of 10, we solve:

\(P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\)

a) We have to calculate P(x=5).

For a binomial variable with n=10 and p=0.49, this can be calculated as:

\(P(x=5) = \dbinom{10}{5} p^{5}q^{5}=252*0.0282*0.0345=0.2456\\\\\)

b) We have to calculate P(x≥6). This can be calculated as:

\(P(x\geq6)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\\\P(x=6) = \binom{10}{6} p^{6}q^{4}=210*0.0138*0.0677=0.1966\\\\P(x=7) = \binom{10}{7} p^{7}q^{3}=120*0.0068*0.1327=0.1080\\\\P(x=8) = \binom{10}{8} p^{8}q^{2}=45*0.0033*0.2601=0.0389\\\\P(x=9) = \binom{10}{9} p^{9}q^{1}=10*0.0016*0.51=0.0083\\\\P(x=10) = \binom{10}{10} p^{10}q^{0}=1*0.0008*1=0.0008\\\\\\P(x\geq6)=0.1966+0.1080+0.0389+0.0083+0.0008\\\\P(x\geq6)=0.3526\)

c) We have to calculate P(x<4). That is:

\(P(x<4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)\\\\\\P(x=0) = \binom{10}{0} p^{0}q^{10}=1*1*0.0012=0.0012\\\\P(x=1) = \binom{10}{1} p^{1}q^{9}=10*0.49*0.0023=0.0114\\\\P(x=2) = \binom{10}{2} p^{2}q^{8}=45*0.2401*0.0046=0.0494\\\\P(x=3) = \binom{10}{3} p^{3}q^{7}=120*0.1176*0.009=0.1267\\\\\\P(x<4)=0.0012+0.0114+0.0494+0.1267\\\\P(x<4)=0.1887\)

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

Mark this as brainliest please.

Answer:

1. I believe that for the first image angle z=56

2. I believe that m in the second equation is m=55

3. The angle in the third image of the triangle is x= 47

Step-by-step explanation:

1. For the first image, you can see that the shown angle is 124, y appears to have an angle equal to 124 as well. So both angles =248, there has to be a total of 360 degrees so that means that angles x and z are 56 because 56x2 is 112 and 112+248=360. Therefore angle z appears to be 56.

2. For the second image, I had the same question on my test(I attached an image below to prove that I know the right answer), the answer was

3. In the third image a triangle is shown. To calculate the triangle all angles must add up to 180, therefore we can find out the value of angle x by using the equation, 180-(102+31) basically 180-133=47 therefore x=47

Answer: x = 41

For x in the equation

5/25=9/(x+4)

5(x+4) =9(25)

5x + 20 = 225

5x = 205

x = 41

Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41

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The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

500 times

Step-by-step explanation:

Divide the thickness of a cat hair by the thickness of a human hair.

4.0 × 10^-1 / 8.0 × 10^-4 =

= 0.5 × 10^3

= 500

500 times

Answer:

k = 6 and k = -4

Step-by-step explanation:

To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.

The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).

Possible p-values:

Possible q-values:

Therefore, all the possible values of p/q are:

\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)

To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:

\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)

\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)

\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)

\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)

Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.

Note:

If k = 6, the roots are 1 and -1/6.

If k = -4, the roots are -1 and -1/4.

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

Answer:

X= 43

y=120

Step-by-step explanation:

3x + 8 + X = 180

4x = 180 - 8

X = 43

2y +17+X = 180

2y + 17 + 43 = 180

y = 180 - 60

= 120

Step-by-step explanation:

hope it is helpful to you

The customer must purchase 80 gallons of 50% solution if they wish to create a 40% soap solution.

A customer has 40 gallons of a cleaning solution that contains 20% soap.

The company sells a cleaning solution that contains 50% soap.

The customer wishes to create a 40% solution.

Solution:

By mixture and allegation method,

1 gallon                              1 gallon

  50%                                   20%

                         40%

  20                                       10

To create a 40%Soap solution, one must mix 20 gallons of 50%  soap solution and 10 gallons of  20% Soap solution.

Therefore, the ratio is 20 : 10 = 2:1

The customer has 40gallons of a cleaning solution that contains 20% soap, therefore in a 2:1 ratio, 1 part is 40 gallons.

Then for 2 parts = 2*40 = 80 gallons.

The customer must purchase 80 gallons of 50% solution if they wish to create a 40% soap solution.

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Answer:

-21

remember that when there is a positive and negative sign the product will always be negative