On separate sheet of paper Solve and graph 2 open vertical bar x minus 1 close vertical bar plus 3 less or equal than 9

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  \(S.E = \frac{S.D}{\sqrt{n} }\)

                \(S.E = \frac{5.65}{\sqrt{52} } = 0.7835\)

The standard error of the sample mean  is approximately (S.E) = 0.7835.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =\(\sigma\)

Size of sample we're working on = n

Then, the standard error can be calculated as:

\(SE = \dfrac{\sigma}{\sqrt{n}}\)

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

\(= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140\)

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It would take a total of 20 days to produce the batch of pens.

Let's calculate the work done by the 3 machines for the first 8 days:

Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work

The remaining work that needs to be done by all 12 machines is:

Remaining work = 1 - (2/20) = 0.9

Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:

Total work = 0.9

Work done by 12 machines in one day = 12/20 = 0.6

Total number of days needed = 0.9/0.6 = 1.5

Therefore, the total number of days needed to produce the batch of pens is:

8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days

However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:

10.5 + 9.5 = 20 days

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Answer:

150

Step-by-step explanation:

10^2 + 6 × 7 + 8

Remember the order of operations, PEMDAS:

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

Then, apply it to the given expression.

first, exponents: 10^2 = 10 × 10 = 100

second, multiplication: 6 × 7 = 42

last: add the values from the first and second steps.

100 + 42 + 8

150

Answer:

4/7=12/21

18/20=9/10

6/5=30/25

81/90=9/10

Step-by-step explanation:

12 / 21  will be equal to 4/7 and is denoted in the simplest form.

A fraction that possesses the same value as another fraction regardless of how it's denominators and numeric components could be different is said to be equivalent.

12 / 21 can be simplified with the help of 3. This will result in 4/7.

18/20 can be simplified with the help of 2. This will result in a 9/10.

30/25 can be simplified with the help of 5. This will result in 6/5.

81/90 can be simplified with the help of 9. This will result in a 9/10.

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Explanation:

Multiply 68.22 by 1.2 to get 81.864 or $81.86

Answer:

37y +3?

Step-by-step explanation:

L×B=Area

(7y+1)(2y+3)

According to the given figure ,

Formula to find the area of a rectangle is given by -

\( \:\:\:\:\:\:\star\small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length \times Breadth }}}}\\\)

On substituting the values-

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)}= \bigg(7y+1\bigg)\times \bigg(2y+3\bigg)}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = \bigg ( 14y^2+21y+2y+3\bigg)}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = 14y^2+23y +3}\\\)

\( \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{Area_{(rectangle)}=\underline{14y^2+23y +3}}}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{Correct \:option \: is \: \frak{\purple{ C)\:\underline{14y^2+23y +3 }}. }}}}\\\)

Answer: 9/2500

Step-by-step explanation:

We start with turning it into a fraction:

0.36/100

Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)

36/10000

Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:

(36/4)/(10000/4)

= 9/25000

Answer:

I believe this is A

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

year 1: 90% × 245000 = 220500

year 2: 90% × 220500 = 198450

year 3: 90% × 198450 = 178605

∴ the car price after 3 years is 178605

explanation:

the value of car decreases 10%. that means the car price is 90%

The price of the car after 3 years will be 178605

We can calculate the value in the following way

Rate of decrease in car's price: 10%

Current price of the car: 245000

Value after 1 year, say value1= current value-10% of current value

\(value1=245000-\frac{10*245000}{100}\)

=245000-24500

=220500

After 1 year, the next decrement in the price will be based on the value of the car in that year. In other words, we calculate the value after the second year by decreasing by 10% of value1.

Value of car after 2 years, say value2= value1- 10% of value1

\(value2=220500- (\frac{10*220500}{100})\)

=220500-22050

=198450

Similarly,

Value of car after 3 years, say value3= value2- 10% of value2

\(value3=198450- (\frac{10*198450}{100})\)

=198450-19845

=178605

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

c≈12.57

Step-by-step explanation:

good luck :)

I'm not 100% sure

Answer:

it is

Step-by-step explanation:

cause there are no repeating numbers

Answer:

Yes

Step-by-step explanation:

A function means that the relation between the x and y values are unique. By this statement, it is meant that each x value can only correspond to a single y value.

Hence,

(-6, 5), (-5, 6), (8, 2) is a function.

Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

Answer:

It is not possible for the sum of consecutive integers to be -11. The sum of n consecutive integers is n times the average of the first and last integers. The average of any two integers is a fraction, which when multiplied by n, will always yield a fraction, which cannot equal -11. Therefore it is not possible to have n consecutive integers that sum to -11.

f = 202

Step-by-step explanation:

\(7 \times 5f = 7070\)

\(5f = \frac{7070}{7} \)

\(5f = 1010\)

\(f = \frac{1010}{5} \)

\(f = 202\)

Verification to check the given answer is correct, then put the value of f in the given question.

\(7 \times 5(202) = 7070\)

\(35(202) = 7070\)

\(7070 = 7070\)

L.H.S. = R.H.S

\({ \green { \boxed{ \red{ \sf{f = 202}}}}}\)

Step-by-step explanation:

The given Eqⁿ is, \({ \purple{ \sf{7 \times 5f = 7070}}}\)

We need to find the value of f. So, let us cancel the numbers one by one.

First, let us cancel 7 by dividing both the sides by 7 in the given Eqⁿ.

\({ \purple{ \sf \frac{ \cancel7 \times 5f}{ \cancel7}}} = { \purple{ \sf{ \frac{ \cancel{7070} ^{ \green{ \tt{1010}}} }{ \cancel 7_{ \green{ \tt{1}}}}}}}\)

\({ \purple{ \sf{5f = 1010}}}\)

Now, let us cancel 5 by dividing both the sides by 5. then,

\({ \purple{ \sf{ \frac{ \cancel5}{ \cancel5}f}}} = { \purple{ \sf{ \frac{ \cancel{1010^{ \red{ \tt{ \: \:202}}}}}{ \cancel 5_{ \red{ \tt{1}}}}}}}\)

\({ \boxed{ \blue{ \sf{f = 202}}}}\)

Answer: x=1+1/3

Step-by-step explanation: -(3x-12)=9x-4

We move all terms to the left:

-(3x-12)-(9x-4)=0

We get rid of parentheses

-3x-9x+12+4=0

We add all the numbers together, and all the variables

-12x+16=0

We move all terms containing x to the left, all other terms to the right

-12x=-16

x=-16/-12

x=1+1/3

The subtraction is equal to the mixed number below:

9 - (3 + 7/8) = 5 + 1/8

Here we want to solve the expression below:

9 - (3 + 7/8)

So we have a whole number and a mixed number.

First we can subtract the two whole numbers so we get:

9 - (3 + 7/8) = (9 - 3) - 7/8

                   = 6 - 7/8

Now, to have a mixed number the fraction needs to be positive, so we can write:

6 - 7/8 = 5 + 1 - 7/8

5 + 1 - 7/8 = 5 + 1/8

That is the answer.

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Answer:

blank=3

Step-by-step explanation:

I think its just 6.60 divided by six, thats how many each one costs, then multiply it by 3

Hope this helps :)

Answer:

3.3

Step-by-step explanation:

because you can divide 6.60 by 6 which is 1.1 then multiply it by 3

Answer:

2/4 is greater

Step-by-step explanation:

if you reduce 2/4 its 1/2 and 5/6 cant be reduced so therefor 2/4 is greater

Answer:

V ≈ 1809 ft^3

Step-by-step explanation:

Given:

r (radius) = 6ft

h (height) = 16ft

π = 3,14

Find: V (volume) - ?

\(v = \pi {r }^{2} \times h\)

\(v = 3.14 \times {6}^{2} \times 16 ≈1809 \: {ft}^{3} \)

Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

Answer:

Step-by-step explanation:

6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3

Solving like terms

6x3 + 7x2y + 12xy2 + 5y3

The simplified form of the expression is 6x³+5y³+12xy²+7x²y

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (2x+y)(3x²+2xy+5y²)​, we need to simplify it,

(2x+y)(3x²+2xy+5y²)​

= 6x³+4x²y+10xy²+3x²y+2xy²+5y³

= 6x³+5y³+12xy²+7x²y

Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y

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Answer:

  6.50 seconds

Step-by-step explanation:

You want the time it takes for a cannonball to hit the ground if it has a height function of h(t) = -4.9t² +30.5t +8.7.

We presume the height is zero when the cannonball hits the ground. That means you want the positive value of t that satisfies ...

  0 = -4.9t² +30.5t +8.7

We can use the quadratic formula with a=-4.9, b=30.5, c=8.7 to find the value of t:

  \(t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-30.5\pm\sqrt{30.5^2-4(-4.9)(8.7)}}{2(-4.9)}\\\\=\dfrac{30.5+\sqrt{1100.77}}{9.8}\approx6.4977\)

It takes about 6.50 seconds for the cannonball to strike the ground.

Answer:

\(f(x) = 0.80x\)

Step-by-step explanation:

Given

\(x \to price\)

\(discount \to 20\%\)

\(coupon = \$50\)

Required

The function f(x) if only the discount applies

20% discount implies that the price will be reduced by 20%.

So, the function is:

\(f(x) = Price - Price * Discount\)

\(f(x) = x - x * 20\%\)

Factorize

\(f(x) = x(1 - 20\%)\)

Express percentage as decimal

\(f(x) = x(1 - 0.20)\)

\(f(x) = x(0.80)\)

\(f(x) = 0.80x\)