1. Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more fean
the other, find the price of the less expensive piece of equipment. Assume all data ze 2002
to two significant agits unless grezier 20curacy is given

Answer:

About 34

Step-by-step explanation:

There are 168 chocolate chips in 5 ounces. That means you want to know how many chips there are per ounce. Divide 168 by 5 and you get approximately 34 chocolate chips per ounce (33.6 if you need this)

Answer:

34

Step-by-step explanation:

All you have to do is divide

168 / 5 = 33.6

so about 34 chocolate chips in an ounce

Answer:

3/4 cup milk

Step-by-step explanation:

I order to be able to compare quantities that come in fraction form, the best is to write all of them as equivalent fractions with the same denominator. That way just looking at the magnitude of the numerators will allow us to give the answer.

the fractions to consider are: [tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}[/tex]

so the denominators in question are: 4, 6, and 12.

We see that 12 is the Least Common Denominator (LCD) of these three, since 4 divides perfectly 12, 6 divides 12 perfectly, and 12 divides itself perfectly as well.

Now, the initial fractions can be re-written with equivalent fractions showing denominator 12.We do such by multiplying numerator and denominator of the first fraction by "3" in order to get a "12" in the denominator. By multiplying the second fraction by 2 in numerator and denominator to get a "12" in the denominator. Notice that we don't need to modify the third fraction since it is already expressed with denominator 12:

[tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}=\\=\,\frac{9}{12} \,,\, \frac{4}{12} \,, \, and\, \frac{8}{12}[/tex]

Therefore, the greatest of these is the first fraction, that shows a "9" in the numerator (the largest of the three numerators)

Answer:

3:59 PM

Step-by-step explanation:

When the plane arrives in Fargo, the time is 13:59 or 1:59 PM in pacific time. From the pacific to central, you add 2 hours. 1:59 + 2 hours is 3:59 PM.

25 scholars × 3 candies = 75 candies

5 candies for himself = 80

Answer: 80 candies

An inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Mr.Rogers distribute the candy equally among his 25 scholars.

Let the total number of candies be x.

Here, inequality is 25×3+5≥x

80≥x

Therefore, an inequality statement to represent the least number of candies that Mr.Rogers can buy is 80≥x.

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Answer:30

Step-by-step explanation:

it’s division. there’s some left over but they wouldn’t make a complete page.

493/16=30.8....

The price of car is $18000

Step-by-step explanation:

Given

Sales tax on car = $1080

Rate = 6%

Let x be the price of the car

We know that as the rate of sale tax is 6%, 6% of x is 1080

Using mathematical notation

0.06x = 1080

Dividing both sides by 0.06

[tex]\frac{0.06x}{0.06} = \frac{1080}{0.06}\\\\x = 18000[/tex]

Hence,

The price of car is $18000

Keywords: Rate of tax, Percentage

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Answer: ABC is isosceles

Step-by-step explanation:

The coordinate of points given are:

A(1,-4)

B(-1, -2 )

C ( -2 , -5 )

For ABC to be isosceles , then AB must be equal to BC or AB = AC

The next thing to do  is to find the value of AB , BC and AC using the formula for finding distance between two points which is given by:

D = [tex]\sqrt{(x_{2}-x_{1})  ^{2}+(y_{2}-y_{1})  ^{2}}[/tex]

Calculating AB first , we have

[tex]\sqrt{(-1-1)^{2}+(-2+4)^{2}  }[/tex]

= [tex]\sqrt{4+4}[/tex]

=[tex]\sqrt{8}[/tex]

Therefore:

AB = [tex]\sqrt{8}[/tex]

Calculating BC , we have :

D = [tex]\sqrt{(x_{2}-x_{1})  ^{2}+(y_{2}-y_{1})  ^{2}}[/tex]

D = [tex]\sqrt{(-2+1)^{2}+(-5+2)^{2}  }[/tex]

D = [tex]\sqrt{10}[/tex]

Therefore:

BC = [tex]\sqrt{10}[/tex]

Calculating AC , we have :

D = [tex]\sqrt{(x_{2}-x_{1})  ^{2}+(y_{2}-y_{1})  ^{2}}[/tex]

D = [tex]\sqrt{(-2-1)^{2}+(-5+4)^{2}  }[/tex]

D = [tex]\sqrt{10}[/tex]

Therefore:

AC = [tex]\sqrt{10}[/tex]

Since AC = BC then triangle ABC is isosceles

Practice Analytic Geometry

1. Find the midpoint of the line segment defined by the points: (sqrt 2, 0) and (0, -sqrt 2)

Answer is ((sqrt 2)/2, (-sqrt2)/2)

2. Find the distance of the line segment joining the two points: (5,4) and (-2,1)

Answer is sqrt 58

3. Find the distance of the line segment joining the two points: (1/2, -5/2) and (-4/3, -1/6)

Answer is (sqrt 317)/6

4. Given triangle ABC with vertices at A (1,-4), B (-1, -2), and C (-2,-5), prove or disprove that triangle ABC is an isosceles

Answer triangle ABC is isosceles since AB = sqrt 8, BC = sqrt 10, and AC = sqrt 10

Answer:

ABCD and EFGH

ABCD and PQRS (or EFGH and PQRS)

Dilate by a scale factor of 3

Step-by-step explanation:

Congruent means they have the same shape and size.

Similar means they have the same shape, but not necessarily the same size.

The orientation (rotation angle) or position do not matter.

EFGH is reflected and rotated, so it maintains the same shape and size as ABCD.  Therefore, they are congruent.

PQRS is scaled and translated, so it has the same shape, but different size than ABCD.  Therefore, they are similar but not congruent.

Also, PQRS is similar to EFGH, but not congruent.

To make EFGH congruent to PQRS, we need to make it the same size.  So we need to scale EFGH by a factor of 3.

Answer:

a = 1

h = 3

k = -4

Step-by-step explanation:

To convert this standard form equation to vertex form, use complete the square.

f(x) = x² - 6x + 5

f(x) = (x² - 6x) + 5   <=group ax² and bx, factor out if needed, not in this case.

add and subtract (middle term/2)²

f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5   <=adding and subtracting the same number is like adding 0

f(x) = (x² - 6x + 9 - 9) + 5  <=simplify

f(x) = (x² - 6x + 9) -9 + 5   <=take out the negative constant

f(x) = (x - 3)² - 4    <=perfect square rule in brackets, simplify outside

a = 1   <= Nothing needed to be factored out from ax² and bx.

h = 3   <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".

k = -4

Answer:

There are pumpkin 756 seeds in all.

Step-by-step explanation:

Given:

Angel buys 6 pumpkins. Each pumpkin has about 756 seeds inside.

Now, to find total pumpkin seeds we multiply the total number of pumpkin from total number of seeds in each pumpkin has:

There are total 6 pumpkins.

In 1 pumpkin it has 756 seeds.

So, in 6 pumpkins there are = [tex]756\times 6[/tex]

                                              =  [tex]4536[/tex].

Therefore, there are pumpkin 756 seeds in all.

The information not needed for this calculation includes the details about sunflower seeds, almonds, sunflower oil, etc., that are irrelevant to the question. The key information to use is the number of pumpkins and the average number of seeds per pumpkin. The total number of roasted pumpkin seeds are 4,536.

Angel has 6 pumpkins, and each pumpkin has about 756 seeds.

Multiply the number of pumpkins by the number of seeds per pumpkin to find the total number of seeds: 6 pumpkins times 756 seeds per pumpkin.

Perform the multiplication to find the total: 6 times 756 = 4,536 seeds.

Answer: 233.7

Step-by-step explanation:

Answer:

-0.5, -0.25, 0.6, 0.625

Step-by-step explanation:

-1/4=-0.25

6/10=3/5=0.6

--------------------

Answer:

The the price of one ream of paper is $6.5.

Step-by-step explanation:

Here, Let us assume the cost of one ream of paper  = $  m

The money spent by Fred:

The money spent on a  binder  = $4.50

The money spent on 6 ream of papers  =  6 x ( cost of 1 ream )

= 6 x ($m) = 6 m

⇒The total money Fred spent  = Money spent on (binder + 6 ream of papers)  

= 4.50 + 6 m  ....... (1)

The money spent by Latasha:

The money spent on a cartridge = $17.50

The money spent on 4 ream of papers  =  4 x ( cost of 1 ream )

= 4 x ($m) = 4 m

⇒The total money Latasha spent  = Money spent on (cartridge + 4 ream of papers)  

= 17 .50 + 4 m  .... (2)

Also, Both spend the same amount of money

⇒4.50 + 6 m = 17 .50 + 4 m   ( from (1) and (2))

or, 6 m - 4  m= 17. 50 - 4, 50

or, 2 m =  13

or, m = 13/ 2  = 6.5

So, the value of m = $6.5

Hence, the the price of one ream of paper is $6.5.

Answer:

∠5 = 27°

Step-by-step explanation:

CDB = ABD (alternate angle)

∠2 = ∠5

∠5 = 27°

(Correct me if i am wrong)

Answer:

∠5 = 27°

Step-by-step explanation:

CDB = ABD (alternate angle)

∠2 = ∠5

∠5 = 27°

Final answer:

To double the area of the rectangular garden, the dimensions should increase by 5 meters.

Explanation:

To double the area of the rectangular garden, we need to find the increase in dimensions that will result in double the original area. The original dimensions are 5m by 7m, so the original area is 5m x 7m = 35 square meters. To double this area, the new area should be 35 square meters x 2 = 70 square meters. Let's assume the increase in dimensions is 'x'. The new dimensions will be (5m + x) by (7m + x). We can set up the equation:

(5m + x)(7m + x) = 70 square meters

Expanding and simplifying the equation, we get:

35m + 5x + 7x + x^2 = 70 square meters

Combining like terms, we have:

x^2 + 12x + 35 = 70 square meters

Next, we rearrange the equation into standard form:

x^2 + 12x + 35 - 70 = 0

Simplifying further, we get:

x^2 + 12x - 35 = 0

Now we can solve this quadratic equation by factoring or using the quadratic formula. Factoring the equation gives us:

(x + 7)(x - 5) = 0

Setting each factor equal to zero, we have:

x + 7 = 0 or x - 5 = 0

Solving for 'x', we get:

x = -7 or x = 5

Since a negative value doesn't make sense in this context, we can conclude that the dimensions should increase by 5 meters.

Let x = number of white marbles and y = number of yellow marbles.

x + y = 57 => x = 57 - y

Also, x = 3 + 5y

Substitute x for y.

57 - y = 3 + 5y => 57 - 3 = 54 = 6y

So, y = 9

Since x (our answer) = 3 + 5 (9),

x = 48.

Check: 48 + 9 = 57 total

Answer:

Option(d)

C = 0.46(w - 5) + 9.7

Explanation:

We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.

The equation for total cost C for given total weight w can be written by

sum of fixed value and every 5 extra lbs

which can be represented by the equation

C= 0.46(w-5) + 97.

Hence,  this represents a linear model for the given data.

Answer:

x-intercept = (1, 0)

y-intercept = (0, −3)

Step-by-step explanation:

These is the only answer that make the most sense:

x-intercept: [tex]\displaystyle 0 = y[/tex]

y-intercept: [tex]\displaystyle 0 = x[/tex]

I am joyous to assist you anytime.

The intercepts of the graph function are:

The x-intercept is (-1, 0).

The y-intercept is (0, 3).

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

The x-intercept is the point when y = 0.

The y-intercept is the point when x = 0.

So,

The x-intercept is (-1, 0).

The y-intercept is (0, 3).

Thus,

The intercepts of the graph function is:

The x-intercept is (-1, 0).

The y-intercept is (0, 3).

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Answer: 19

Step-by-step explanation:

j+2j-3 = 30

3j = 33

j = 11

and

b = 2j-3

b = 2(11)-3

b = 19

Answer:19

Step-by-step explanation:

How to distribute  2.5(-y + 2)

= (2.5 * -y) + (2.5 * 2)

= -2.5y + 5

Distributive Property is when you multiply different addends from a sum then add them.

______

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Answer:

11x + 10y

Step-by-step explanation:

(5x + 3y) - (2x - 7y) + 8x

• Remove the parentheses:

5x + 3y - 2x + 7y + 8x

• Collect like terms:

(5x - 2x + 8x) + (3y + 7y)

• Simplify:

11x + 10y

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The equivalent expression using associative property is [tex]5 \times(3 \times 12)[/tex]

Given expression is [(5.3). 12]

We are asked to write a equivalent expression using associative property

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis

Associative property is as follow:-

a + (b + c) = (a + b) + c   { for Addition}

(a x b) x c = a x (b x c)  { for multiplication}

The given expression is [(5.3). 12], which can be written as

[tex](5 \times 3) \times 12=5 \times(3 \times 12)[/tex]

Answer:

3 friends

Step-by-step explanation:

The mean age is 27 so 3 friends are above that age.

The average age of the friends is 27. Only two of the friends, both aged 31, are older than the average age.

To find out how many of the friends are older than the average age, we need to first find the arithmetic mean of the ages. We do this by adding up all the ages and dividing by the number of ages. So, (20+31+28+31+25)/5 = 27. Once we have the average, we can see that the ages of 31 and 31 are larger than the average of 27. Therefore, there are 2 friends whose ages are older than the average.

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Answer:

70 people

Step-by-step explanation:

Final answer:

The total number of employees at the company is calculated using the given ratio of men to women, 2 to 3, along with the information that there are 42 women. By converting the ratio into actual numbers, we find that there are 28 men and 42 women, totaling 70 employees.

Explanation:

The question asks about the total number of employees in a company given the ratio of men to women and the number of women. To find the answer, we will use the ratio of men to women, which is 2 to 3, and the information that there are 42 women working for the company.

Answer:

8.76/24.3= 0.36

16.95/32.6= 0.519 round up to make 0.52

Step-by-step explanation:

8.76/24.3= 0.36

16.95/32.6= 0.519

The value of x, that solves the equation 0.5 to the power of x equals 128, is approximately -7. This is found first by rearranging the equation into the logarithmic form, then using the change of base formula to solve for x.

The question is asking to solve the equation 0.5 to the power of x equals 128 for the value of x. In order to solve this, we can use the properties of logarithms. Firstly, re-write the equation in log form as log (base 0.5) 128 = x.

We can use the change of base formula which is logba = logca / logcb, where c can be any positive value different than 1 (usually we use 10 or e). If we apply this to our formula it becomes: x = log 128 / log 0.5.

By calculation, x is approximated to -7. This means that when you raise 0.5 to the power of -7, you will get 128.

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Answer:

2.63

Step-by-step explanation:

29/11=2.63

Answer:

2.64

Step-by-step explanation:

First you Set the problem up like

11/29

then you take

11/29

11x2= 22

29

-

22

=

7

Answer:

So, the answer is option B: a = −5, b = −9, c = 12

Step-by-step explanation:

The general form of the quadratic Formula is  ax² + bx + c = 0

We need to compare the given quadratic equation to the general form

 ax² + bx + c = 0

−5x² − 9x + 12 = 0

So, we can deduce that

a = -5 , b = -9 and c = 12

So, the answer is option B: a = −5, b = −9, c = 12

✨Answer✨

~✨Keep dreaming! ✨~

Answer: -8 - (3 x N) = 19

n = number

Step-by-step explanation: i think thats how u write it

Answer:

[tex](-8)-3n=19[/tex]

Step-by-step explanation:

In the equation, the difference of -8 and the product of 3 and n (refering to "the number" in the question) equals 19.

Hope this helps