2.85-6.2 divided by 2 square

After conducting mathematical operations, we know that 11/3÷2/3 leaves a remainder of 5½.

So, 11/3÷2/3:

Therefore, after conducting mathematical operations, we know that 11/3÷2/3 leaves a remainder of 5½.

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Answer:

The second one is the Multiplicative Property of Zero.
The fourth one is the Commutative property.

Answer:

The second and third one

Step-by-step explanation:

Answer:

x=\frac{1}{4}(h-12y-2)x=4

Step-by-step explanation:x=\frac{1}{4}(h-12y-2)x=

4

1

(h−12y−2)

Step-by-step explanation:

We are given the equation h=4(x+3y)+2h=4(x+3y)+2 .

Simplifying for x, we get,

h=4(x+3y)+2h=4(x+3y)+2

i.e. h=4x+12y+2h=4x+12y+2

i.e. 4x=h-12y-24x=h−12y−2

i.e. x=\frac{1}{4}(h-12y-2)x=

4

1

(h−12y−2)

Thus, the equation for x is x=\frac{1}{4}(h-12y-2)x=

4

1

To complete the perfect trinomial, we add (5/2)² to the given equation and get:

Subtracting 6 we get:

Therefore:

Finally, we get:

You can write the relation between distance and time, as follow:

y = kx

where y is the distance, x is the time and k is the constant of proportionality.

k can be obtained with the given information, as follow:

k = 90/30 = 3

Then, the equation of the relationship is:

y = 3x,

for a time of 10 seconds, the distance traveled is:

y = 3(10) = 30

Hence, the answer is:

y = 3x , 30 feet

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

4 basketballs

Explanation

Step 1

Ms. Banks divides 18 basketballs evenly among 3 bag

divide the 18 basketballs by 3 bags

Step 2

now, she takes 2 from each bag, so

Hence, the answer is 4 basketballs.

I hope this helps you

There would be 20 guests for the restaurants to cost the same

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the following parameters:

Red Lobster

Rate per person = $30

Set up fee = $100

Olive Garden

Rate per person = $25

Set up fee = $200

So, the equations of the restaurants are

Red Lobster = 30g + 100

Olive Garden = 25g + 200

Where the number of guests is g

When the restaurants cost the same amount, we have

Red Lobster = Olive Garden

Substitute the known values in the above equation

So, we have

30g + 100 = 25g +200

Evaluate the like terms

5g = 100

Divide by 5

g = 20

Hence, the number of guests is 20

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A)

In order to check this sentence, we need to convert the value from foot to yard.

Knowing that 1 yard is equal 3 feet, we have that:

So Debbie's affirmation is incorrect, therefore we disagree.

B)

First we need to calculate the area of the table cloth.

Converting the length to foot, we have:

Now, calculating the area (which is the product of the length and the width), we have:

If each square foot is $0.25, we just need to multiply the area by the cost of one square foot in order to find the cost of the fabric for the table cloth:

So the cost is $30.

We will get 406 after multiplication .

What does multiply mean?

   58 * 7 = 406

We will get 406 after multiplying .

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Answer:

• x-intercept: (-1.5, 0).

• y-intercept: (0, 1).

Explanation:

Given the function:

(a)x-intercept

The x-intercept is the value of x at which f(x)=0.

When f(x)=0

The x-intercept is located at (-1.5, 0).

(b)y-intercept

The y-intercept is the value of f(x) at which x=0.

When x=0

The y-intercept is at (0, 1).

(c)Graph

The graph of f(x) is given below:

The question asks us to confirm the simplification of the expression:

Step 1: Factor the numbers

Therefore, the expression becomes:

Step 2: Cancel out the common terms from the expression

Step 3: Apply the rule of exponents

Therefore, we have:

CONCLUSION

The expression simplifies to give:

The answer is TRUE.

[tex]y = -1.25 x^{2}+ 5[/tex]  is the needed quadratic function in standard form.

A quadratic equation is one with a single degree 2-variable and has the general form  [tex]a x^{2} + bx + c = 0.[/tex]  a, b, and c is the constant value, and x consists of a variable.

The quadratic equation's x-intercepts are (-5, 0). That indicated that the quadratic equation's two elements are (x + 5) and (x -0).

f(x) = a (x + 5) (x - 0) (x - 0)

= ax+5a

f(x) = [tex]ax^{2} +5x[/tex]

The quadratic equation's graph goes through (4, 0). Therefore, we must change equation 1 to read x = 4 and f(x) = 0.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

a = [tex]\frac{-20}{16}[/tex]

=-1.25

The quadratic equation is known to have the form ax² + bx + c = 0.

f(x) = -1.25[tex]x^{2}[/tex] + 5x  

Consider y= F(x)

∴ The required quadratic equation of function in the standard form is Y = -1.25 x² + 5x.

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After 6 years, Zandile earns an interest of rupees 608.9 after investing her Christmas bonus for R 875.00 in a bank that offers interest rates of 9% p.a. compounded half-yearly.

The simplest way to calculate interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a friend with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5.

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The principal (original) sum and the interest that has already accrued over the course of previous periods are used to calculate compound interest.

Here,

Principal amount= 875

Rate of interest= 9% pa

Compounding= half-yearly (2/year)

Time= 6 years

A = P(1 + r/n)ⁿᵇ

A=final amount

P=initial principal balance

r=interest rate

n=number of times interest applied per time period

b=number of time periods elapsed

A=875(1+9/6)⁶*²

A=₹1,483.90

Zandile invests her Christmas bonus of R 875.00 in a bank that offers interest rates of 9% per year compounded semi-annually, and after 6 years, she earns an interest of Rs 608.99.

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Given Data:

Total working hours is = 51 hours.

Pay rate=$8.45.

OT rate=1.5 times the regular pay rate.

Regular working hours is 40 hours.

Regular pay can be determined as,

Thus, the regular pay is $338.

The OT rate can be determined as,

Thus, the overtime rate is $ 12.68.

The overtime pay can be determined as,

Thus, the overtime pay is $139.43.

The gross pay can be determined as,

Thus, the gross pay is $ 447.425.

Answer:

zeroay horizontal stretch vertical shrink

Step-by-step explanation:

1+1=2

Percentage of a number

Find a number which

its a 100% percentage

henW

When 232 is 290%

Then find

X = (100%/290)• 232

Divide 232/29 = 10% = 8 exactly

Now multiply by 10 = 10• 8 = 80

Then 100% = 80

to convert Fahrenheit to Celcius we have to apply the next formula:

C°= (F°-32) x 5/9

Replacing:

C = (103-32)x 5/9

C = 71 x 5/9

C = (71 x5)/9 = 355/9

The probability of the sample mean is 0.2008.

What is probability?
Probability is the quality or state of being probable the extent to which something is likely to happen or be the case.

Sol-Let x be a continuous random variable that has a normal distribution with
μ=48 and σ=8
Thus,
X~N(48,8^2/16)
The standardized value of x is obtained by :
Z= X-48/√8^2/16~N(0,1)

The probability that the sample mean x for a random sample of 16 taken from this population will be between 49.62 and 52.80 can be obtained as:

P(49.62<x<52.80)

P=(49.62-48/√8^2/16<x-48/√8^2/16<52.80-48/√8^2/16)

=P(0.81<Z<2.4)

=P(Z<2.4)-P(Z<0.81)

=0.9918-0.7910

=0.2008
There for the probability is 0.2008.

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Answer: (-1, 0)

The interval of decreasing refers to the interval of x-values where the graph is decreasing or going down.

If we look at the graph:

We can see that the graph starts to decrease or "go down" at values x = -1 and x=0. With this, we can conclude that the interval of decrease for the given graph is (-1, 0)

If an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H  best represents this rate.

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours,

hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per hour

The slope (rate of change) of a line (m) is given by:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

Slope of the line , [tex]m = \frac{-20 - 0}{10 - 0}[/tex]

Slope of the line is - 2 meters per hour

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

Slope of the line, [tex]m = \frac{-70 - 0}{10 - 0}[/tex]

Slope of the line is -7 meters per hour

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

Slope of the line, [tex]m = \frac{-35 - 0}{10 - 0}[/tex]

Slope of the line is -3.5 meters per hour

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

Slope of the line, [tex]m = \frac{-3.5 - 3.5}{10 - 0}[/tex]

Slope of the line is 0 meters per hour.

Therefore, if an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H  best represents this rate.

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Data Input

1 Adult + 2 children

The price for all three family members

$76

Procedure

Adult ticket = $28

1 Adult + 2 children = $76

2 children = 76 - 1 adult

2 children = 76 - 28

2 children = 48

children = 48/2

children = 24

The value of the expression x^6 -5x^4 - 5 + x when simplified is x^4(x^2 - 5) - (5 + x)

The statement is given as

Factor: x^6 -5x^4 - 5 + x

From the above expression, we have

x^6 -5x^4 - 5 + x

Group the expression in two'2

So, we have

x^6 -5x^4 - 5 + x = (x^6 - 5x^4) - (5 + x)

Factorize each group of the expression

So, we have

x^6 -5x^4 - 5 + x = x^4(x^2 - 5) - (5 + x)

The above expression cannot be further simplified

Hence, the value of x^6 -5x^4 - 5 + x is x^4(x^2 - 5) - (5 + x)

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Therefore

Hello!

The rule for a reflection across the x-axis is:

Knowing it, let's write some points that the red line passes through:

(-2, 0) and (0, 4).

Now, let's use this rule and change the sign of the y coordinate:

• (-2, 0) → (-2, 0) because +0 or -0 doesn't exist.

• (0, 4) → (0, -4)

Let's analyze it and find a line that passes through these two points:

(-2, 0) and (0, -4)

It will be the blue line.

Let

x ----> number of average-weight crates

so

we have that

solve for x

therefore

Answer: No

Step-by-step explanation:

The graph fails the vertical line test, and thus the graph does not represent a function.

The correct option is option B i.e., 36 + 9 = 3(12 + 3) is an equation representing distributive property.

What is distributive property ?

Distributive property states that the outcomes are the same whether the numbers in parenthesis are added before or after multiplication.

We know that according to the distributive property both sides must be equal such that the outcomes are same whether the numbers in parenthesis are added before or after multiplication. The expression for distributive property is given as : a(b + c) = ab + ac

So , checking the options one by one :

A) 36 + 9 = 45 ; is not an equation representing distributive property as it doesn't satisfy the criteria of a distributive property.

B) 36 + 9 = 3(12 + 3) is an equation representing distributive property as it satisfies the criteria mentioned above i.e.,

36 + 9 = 3 × 12 + 3 × 3

36 + 9 = 36 + 9

45 = 45

C) 36 x 9 = 9 x 36 is not an equation representing distributive property.

D)  (12 + 3) × 3 = 3 × (12 + 3) is not an equation representing distributive property because both sides are written in the same way.

Therefore , correct option is option B i.e., 36 + 9 = 3(12 + 3) is an equation representing distributive property.

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ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

To graph, we calculate the intercepts in each equation to then draw the straight line corresponding to each equation, like this:

Now we graph: