Find the missing sides
UV = 8 and WX = 5

Answer:

hellooooooooooooooooiiiiioo hi

Each jar has 197 milliliters of paint

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1

Divide total paint  by the number of jars

Each jar has 1,576/8 = 197 milliliters of paint

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Expressions that perform similarly but differ in appearance are said to be equivalent expressions.

When the same value(s) for the variable are entered, two algebraic expressions that are equivalent will have the same value (s).

It is comparable to perform 3+2minus, 3, plus, 2, and 2 3 232, minus, 3. Despite being in opposite sequence, the numbers add out to 1 less than 1.

Each of the fractions 1 start fraction, 1 divided by, 2 end fraction, and 5 10 10 5 start fraction, 5 divided by, 10 end fraction, is identical. Despite the difference in the numerals, they both add up to 5.

Algebraic expressions 2 + 2 2x+22, x, plus, 2 and 2(x+1)2, left parenthesis, x, plus, 1 and right parenthesis, are equal. All xx values have the same value according to the expression:

x     2(x + 1 )                  2x + 2

0     2(0 - 1 ) = 2            2(0) + 2 = 2

1      2(1 + 1 ) = 4             2(1) + 2 = 4

2      2(2 + 1 ) = 6           2(2) + 2 = 6

3      2(3 + 1 ) = 8           2(3) + 2 = 8.

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On solving the provided question, we can say that he equation is

[tex]40/2000=32/X = > X=1600\\[/tex]

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation is

[tex]40/2000=32/X \\40X=32*2000\\40X=64000\\X=64000/40\\X=1600\\[/tex]

IS THE PROJECTED INCREASE FROM 1860 TO 1892.

THUS THE TOTAL POPULATION IS EXPECTEDTO BE 22000+1600=23600.

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Two calculations that she can do to find the cost are:

Remember that if we have a value A, and we want to apply a discount X (where X is a percentage) then the value after the discount is:

A' = A*(1 - X%/100%)

Here we know that the initial value of the pants is c dollars, and the discount is of the 15%, then the expression that we need to solve is:

cost = c*(1 - 15%/100%)

Now we can simplify that expression to get:

cost = c*(1 - 0.15)

cost = c*0.85

These the calculations that she needs to do.

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Answer:

1 and 1/4

Step-by-step explanation:

Each piece of tomato is a unit fraction of 1/4 of a whole tomato. The equation representing the total number of quarters of a whole tomato is 2 x (1/4) = 2/4. The multiplication shown in the image is 2 x (1/4) = 2/4. As a mixed number, this would be represented as 1 and 1/4.

Answer:

7/8

12.5%

Step-by-step explanation:

Answer: 4z² - 10z + 6

Step-by-step explanation:

The expression -(-4z² + 10z − 6) can be simplified by applying the rule that -(-a) = a. So, -(-4z² + 10z − 6) = 4z² - 10z + 6. The negative signs before the 4z² and 10z have been eliminated, leaving only one negative sign before the last term 6. The simplified expression is 4z² - 10z + 6.

The value of the quadratic function f(x) = 2x² + 5x  - 17 at x = - 1 will be - 20.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = 2x² + 5x  - 17

The value of the function at x = - 1, is calculated as,

f(-1) = 2(-1)² + 5(-1)  - 17

Simplify the equation, then we have

f(-1) = 2(-1)² + 5(-1)  - 17

f(-1) = 2 - 5  - 17

f(-1) = 2 - 22

f(-1) = - 20

The value of the quadratic function f(x) = 2x² + 5x  - 17 at x = - 1 will be - 20.

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the length is 100

Step-by-step explanation:

I'm that good

The specified dimensions of the interior and exterior walls, indicates that the dimensions of the building is 28 feet 10 5/8 inches

The dimensions of a building includes the lengths, height, and width of the building.

The wall measurements for the building are;

The thickness of the interior walls = 2 × 4 (3 1/2'')

The thickness of the sheetrock on both sides of the interior walls = 1/2''

The dimensions of the exterior walls = 2 × 6(5 1/2'')

The thickness of the sheet rock on the interior of the interior walls = 1/2''

The thickness of the sheeting on the exterior of the exterior walls = 7/16''

The thickness of the brick on the exterior of the exterior wall = 3 5/8''

The specified dimension of one of the rooms = 11' 3''

The dimension of the second room = 15'7''

The outside dimension of the house, D, is therefore;

D = The sum of the dimensions of the rooms + The dimension of the inner wall + 2 × The thickness of the outer wall

Therefore;

D = 11'3'' + 15'7'' + 3 1/2'' + 1/2'' + 1/2'' + 2 × (5 1/2'' + 1/2'' + 7/16'' + 3 5/8'')

D = 11'3'' + 15'7'' + 4 1/2'' + 20 1/8'' = 28' 10 5/8''

The dimension of the building, D = 28 feet 10 5/8 inches

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Answer:

D

Step-by-step explanation:

[tex]\frac{7-i}{3+i}[/tex]

rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator

the conjugate of 3 + i is 3 - i

note that i² = - 1

= [tex]\frac{(7-i)(3-i)}{(3+i)(3-i)}[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{21-7i-3i+i^2}{9-3i+3i-i^2}[/tex]

= [tex]\frac{21-10i-1}{9-i^2}[/tex]

= [tex]\frac{20-10i}{9+1}[/tex]

= [tex]\frac{20-10i}{10}[/tex]

= [tex]\frac{20}{10}[/tex] - [tex]\frac{10i}{10}[/tex]

= 2 - i

Answer: To calculate the number of attendees after 4 years, we can use the formula:

Attendance = 1200 * (1 - 0.5%)^4

Where 0.5% is the decimal equivalent of the percentage decrease.

In this case:

Attendance = 1200 * (1 - 0.005)^4

Attendance = 1200 * 0.995^4

Attendance = 1200 * 0.9450625

Attendance = 1134

So, after 4 years, the attendance will be 1134 people.

Step-by-step explanation:

The 10,000 loan has 132.56 in monthly payments, and the loan's total interest is 5363.27.

Until the loan is repaid in full at the conclusion of its term, the principle and interest that make up each level payment are shown on a loan amortisation schedule, which is the whole table of periodic loan payments.

The formula for monthly payments for the loan is,

[tex]$M . P .=\frac{P(r / n)}{1-(1+r / n)^{-n t}}$[/tex]

where, P is the initial amount

r is the rate

n is the period in a year

is the number of years

Now it is given that,

Principle amount borrowed P =  10,000

Rate of interest, r = 7% = 0.07

Monthly Payment, so n = 12

Time, t = 4 years

Thus, Monthly payment of the loan is given as,

[tex]M . P .=\frac{P(r / n)}{1-(1+r / n)-n t}[/tex]

Putting the values we get,

[tex]\text { M.P. }=\frac{10,000(0.07 / 12)}{1-(1+0.07 / 12)-12 * 4}[/tex]

Simplifying we get,

[tex]\text { M.P. }=\frac{(70 / 12)}{1-(12.07 / 12)^{-48}}[/tex]     or,

[tex]\text { M.P. }=\frac{5.833}{1-(1.005)^{-48}}[/tex]

Thus, we get

[tex]\text { M.P. }=\frac{5.833}{1-0.756}[/tex]    or,

[tex]\text { M.P. }=\frac{5.833}{0.244}[/tex]

Solving we get,

[tex]\text { M.P. }=\$ 132.56[/tex]

This is the loan's needed monthly payment.

The difference between the total amount of monthly payments made and the original sum will now be the total amount of interest paid.

Thus,

Total interest of the loan = T.M.P - P

Therefore,

Total Monthly Payments = M.P x t x n

Putting the values we get,

Total Monthly Payments = 132.56 x 4 x 12

⇒ Total Monthly Payments = $6363.27

Therefore,

Total interest of the loan = 6363.27 - 10,000

⇒ Total interest of the loan = $5363.27

As a result, the 10,000 loan's monthly payment is 132.56, and its overall interest cost is 5363.27.

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Answer:-3(x - 10)

Step-by-step explanation:1. Add the numbers

9x-18-12x+48

9x+30-12x

2. Combine the terms:

9x+30-12x

9x+30-12x

3. Common factor:

-3x+30

-3(x - 10)

End. Solution:

-3(x - 10)

So yeah basically that's it! Bye!

The length of AB is AB = 8 units.

What is distance between two points?

The length of a straight line in the coordinate plane that connects two points in space is what is referred to as their distance. We use the absolute value to calculate the distance between any two points because it is impossible for this distance to be negative.

Consider, the given points A (-4, -3), B (4, -3), C (4, -7), D (-4, -7).

We have to find the length of AB.

Consider, the distance formula,

[tex]d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

where,

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the points.

Here,

[tex](x_1, x_2) = (-4, -3)\\(x_2, y_2) = (4, -3)[/tex]

Plug these values in the above formula,

[tex]d = \sqrt{(4-(-4))^2+(-3-(-3))^2} \\d = \sqrt{8^2 +0^2} \\d = \sqrt{8^2} \\d = 8[/tex]

Hence, the length of AB is AB = 8 units.

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Addison's purple paint will be bluer.

To determine the percent of blue paint in Arturo's mixture, divide the amount of blue paint (11 cups) by the total amount of paint (11 cups + 5 cups) and multiply by 100. This gives you 68.75%.

To determine the percent of blue paint in Addison's mixture, divide the amount of blue paint (8 cups) by the total amount of paint (8 cups + 3 cups) and multiply by 100. This gives you 72.73%. Since 72.73% is greater than 68.75%,

Therefore, the correct answer is as given above. It can then be concluded that Addison's purple paint will be bluer.

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By solving the equation, we can see that the question is the one in option C.

"How many times is 1/8 in 3"

We want to see which question can be represented by the equation:

?*(1/8) = 3

So, a number times (1/8) is equal to 3.

Solving the equation we get:

? = 3/(1/8)

? = 3*8

? = 24

The solution is 24.

So it is "how many times we have (1/8) in 3"

And thus, the correct option is C

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After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

here, we have,

As per the given information in the question,

The given equation is,

y=-2x+6

Now, substitute the corresponding points and check,

The points are,

(1 ,4) ⇒ 4= -2*1+6

⇒4=4

This is correct.

(2, 3)  ⇒ 3 = -4+6

This is not correct.

(-1, 8)  ⇒ 8= 2+6

This is correct.

(10, -15) ⇒ -15=-20+6

This is not correct.

(0, 3)  ⇒ 3=6

This not correct.

(3,0)  ⇒ 0 = -6+6

This is correct.

(7, -8)  ⇒ -8= -14+6

This  is correct.

(-6,17)  ⇒ 17 = 12+6

This is not correct.

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The probability that during a given hour of the day there will be between 146 calls and 163 calls exists approximately 78.35 %.

Calculating the likelihood of experiments happening is a function of probability, a part of mathematics. By using a probability, for instance, we may determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a mistake when conducting research.

We've been told that at a large company's customer service call centre, the volume of calls received every hour has a mean of 150 calls and a standard variation of 5 calls. The likelihood that between 146 and 163 calls will be placed during a specific hour of the day is what we are asked to calculate.

First, we will calculate the z-scores for 146 and 163 using the z-score formula.

[tex]$$\begin{aligned}& z=\frac{x-\mu}{\sigma} \\& z=\frac{146-150}{5} \\& z=\frac{-4}{5} \\& z=-0.8 \\& z=\frac{163-150}{5} \\& z=\frac{13}{5} \\& z=2.6\end{aligned}$$[/tex]

Our next step is to find percentage of data scores falls between both z scores.

P(-0.8<z<2.6)=P(z<2.6)-P(z<-0.8)

Using normal distribution table, we will get:

[tex]$$\begin{aligned}& P(-0.8 < z < 2.6)=0.99534-0.21186 \\& P(-0.8 < z < 2.6)=0.78348\end{aligned}$$[/tex]

Let us convert our answer into percentage.

[tex]$0.78348 \times 100 \%=78.348 \%$$[/tex]

Upon rounding our answer to nearest thousandths, we will get:

[tex]$$78.348 \% \approx 78.35 \%$$[/tex]

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls exists approximately 78.35 %.

The complete question is;

At a costumer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. What is the probability that during a given hour of the day there will be between 146 calls and 163 calls, to the nearest thousandth

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Answer: hopefully this should work out!

The fine for a book that is n days overdue can be represented by the following number sentence:

f = 0.25 + (0.10 x n)

This equation shows that the fine for an overdue book is $0.25, plus an additional $0.10 for each day the book is overdue. So if a book is overdue for n days, the fine would be $0.25 + ($0.10 x n) dollars.

Step-by-step explanation:

a) The percentage of shoppers that have computer access at home is given as follows: 44%.

b) The percentage of shoppers that do not have an e-mail account is given as follows: 66%.

A percentage is obtained as a proportion, dividing the number of desired outcomes by the number of total outcomes, and then multiplying this amount by 100%.

Out of 150 shoppers, 48 + 18 = 66 have computer access at home, hence the percentage is given as follows:

66/150 x 100% = 44%.

Out of 150 shoppers, 18 + 81 = 99 do not have an e-mail, hence the percentage is given as follows:

99/150 x 100% = 66%.

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Answer:

Step-by-step explanation:

Total students in the class=18

Girls=10

Boys=8

a.  Pr(Girl, Girl)= 10/18*9/17=90/306.

b.   Pr ( at least one is a boy) = BG* BB* GB*GGB*BBG*BBB*BGG*GBG*GBB*BGB*

Answer:

Question 1  : 0.44

Question 2: 0.853

Step-by-step explanation:

We should use combinatorics to solve this problem

Combinations

The number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed

The formula for finding the number of ways you can pick r items from a set of n items where duplicates are eliminated is given by the combinations formula:

[tex]C(n,r) = \dfrac{n!}{( r! (n - r)! )}[/tex]

where the ! stands for the factorial of the number

Let's take simple example to illustrate this

Suppose we have 3 books labeled A, B. C and we are asked to randomly pick 2 books in one shot. There are 3 possible picks:

AB, AC, BC

Note that though there are six possible arrangements of 2 items from a set of 3, we have to eliminate duplicates because AB is the same as BA.

In the above case, r = 2, n = 3 so using the formula we get

[tex]C(3,2) = \dfrac{3!}{( 2! (3 - 2)! )}\\\\= \dfrac{3!}{2! \times 1! }\\\\\\= \dfrac{3 \times 2 \times 1}{(2 \times 1)(1)}\\\\\\= 3\\\\[/tex]

Now to the actual problem

There are a total of 18 students in the class

Number of ways of picking 3 students is
[tex]C(18,3) = \dfrac{18!}{( 3! (18 - 3)! )}\\\\= \dfrac{18!}{3! \times 15! }\\\\\\=816[/tex]

So there are 816 possible ways to pick 3 students from 18 students

There are calculators to perform this gruesome task so I will omit the actual steps and just show the result

Let's consider the first question
Out of the 3 students picked 2 are girls. That means the other one is a boy

Number of ways of picking 2 girls out of 10 is C(10, 2)

C(10, 2) = 45

Then we have to consider the lone boy. Number of ways of picking 1 boy out of 8 is

C(8, 1) = 8

Total number of ways of picking 2 girls and 1 boy

= 45 x 8 = 360

Therefore P(2 girls, 1 boy) :

[tex]\dfrac{360}{816} = 0.44[/tex]

Second question
To find the number of ways that at least 1 boy can appear in the group is the sum of the number of ways 1, 2 or 3 boys can appear in the group.

Rather than do this, let's approach it in a easier fashion

The probability of at least 1 boy appearing in the group is the complement of no boys on the group, i.e. all volunteers are girls

Number of ways of selecting a volunteer group of all 3 girls:

C(10, 3) = 120

P(no boys in group) = P(all 3 girls in group)
[tex]=\dfrac{120}{816} = 0.147[/tex]

Therefore P(at least 1 boy) = 1 - P(no boys)

= 1-0.147

= 0.853

Could you please let me know if correct? This is a tough subject area for me too :)

Answer:

Step-by-step explanation:

I can't see the answer choices pls come back when you have them

On average, each family member ran 6 km in the relay race.

What is the mean distance?

The extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness. a linear extent of space: Seven miles is a distance too great to walk in an hour. an expanse; area: A vast distance of water surrounding the ship.

To find the mean distance, you need to add up all the distances run by each family member and divide by the number of family members.

The total distance run by all the family members is:

11 + 4 + 8 + 2 + 5 = 30

So the mean distance is:

30 km / 5 family members = 6 km/family member

Hence, on average, each family member ran 6 km in the relay race.

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a) Using a system of equations, the total price of the cars that Ms. Jones must sell each month to make the same income from either dealership is $80,000.

b) For Ms. Jones to make the new job a better deal, she must sell cars worth more than $80,000, for example, $80,500.

A system of equations involves two or more equations solved concurrently.

It is also known as simultaneous equations.

New job offer = $600 + 0.02x ... 1

Current job = $1,000 + 0.015x ... 2

where x = sales revenue

For the two jobs to be the same, Equations 1 and 2 should be equal:

$600 + 0.02x = $1,000 + 0.015x

0.005x = 400

x = $80,000

Check:

For instance, at sales of $80,500:

Total earnings =

New job offer = $600 + 0.02x = $600 + 0.02(80,500) = $2,210

Current job = $1,000 + 0.015x = $1,000 + 0.015(80,500) = $2,207.50

Thus, based on simultaneous equations, Ms. Jones needs to sell cars worth more than $80,000 to make the new job a better deal.

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Answer:

12j + 6

Step-by-step explanation:

You have to multiplied this polynomial expression in order to expand it:

2(6j + 3)

12j + 6

Answer:

12j + 6

a(b+c) = ab + bc

2(6j+3)

2*6 = 12

12j

2*3 = 6

12j + 6

[tex]\it P(A)=\dfrac{n^o\ de\ casos\ favorables\ de\ A}{n^o\ total\ de\ casos\ posibles}\\ \\ \\ n^o\ total\ de\ casos\ posibles=100\\ \\ n^o\ de\ casos\ favorables=50+30=80\\ \\ P(A)=\dfrac{\ 80^{(20}}{100}=\dfrac{4}{5}[/tex]

The ratios 25/45 and 15/27 are proportional.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Ratios = 25/45 and 15/27

Now, simplifying the ratios we get

25/45

= 5/9  

and, 15/27

= 5/9

Hence, the ratio are proportion.

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