**Answer:**

**Step-by-step explanation:**

s = d/t = 100/2.5

Solve for x

7/8 of x is 14

**Answer:**

**Step-by-step explanation:**

Solve for x

7/8 of x is 14

7/8x = 14

x = 14 : 7/8

x = 14 * 8/7

**x =16**

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

check

7/8 * 16 = 14

**14 = 14**

the answer is good

Find the difference.

8518- 2259 =

the correct answer is 6259

If anyone can help me to solve this!!

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A chemist is using 357 milliliters of a solution of acid and water. If 18.1% of the solution is acid, how many milliliters of acid are there? Round your

answer to the nearest tenth.

milliliters

If 18.1 **percent** of the solution is acid, 64.07 milliliters of acid are there.

What is a **percentage**?

As per the question,

18.1 **Percent** of 357 ml of solution used is acid, therefore,

=(18.1/100)*357

= 64.07 ml of acid

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Compare the square root of one hundred forty and one hundred five ninths using <, >, or =.

square root of one hundred forty is greater than one hundred five ninths

square root of one hundred forty is equal to one hundred five ninths

one hundred five ninths is greater than square root of one hundred forty

square root of one hundred forty is less than one hundred five ninths

The square **root **of one hundred forty is **less **than one hundred five ninths. So, option **D **is correct.

According to this question we have to **compare **the square roots of both numbers **One Hundred Forty **and **One Hundred Five Ninths**. So, we have to calculate their square roots.

The square root of One hundred Forty: √140

The square root of One hundred Forty: **11.832**

The square root of One Hundred Five Ninths: √159

The square root of One Hundred Five Ninths: ** 12.609**

Comparing both of their square roots we can clearly see that :

** (11.832) < (12.609) **

The square root of 140 < Square root of 159

Hence, option **D **is correct. The square root of 140 is **less **than 159.

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David and John own 37-1/2 acres of land. David owns 3/5 and John owns 2/5 of the land. They decide to section it off into ¾ acre lots to rent out as garden space for people who do not have garden space at their homes. The price for the entire summer for the rent of each lot is $50. Since there is no water supply to water the gardens, David and John have asked their renters if they would like a 100-gallon water tank or a 70-gallon water tank. 60% of the renters chose 100 gallons and 40% chose 70 gallons. David calculated that they would need to fill each tank 2 times and the cost of a gallon of water is $.05.

The **total spent **amount on water is $220

The **total area** is 37.5=75/2

The number of lots is 75/2/3/4=50 nos

Total rent is 50×50=2500

So 3/5 will go to david 2500×3/5=1500

2/5 will go to john 2500×2/5=1000

So 60% Renters choose 100 gallons

Total renters is 50

60% renters is 50×60%=30 nos

40% renters choose 70 gallons

40% of 50 is 20 nos

The tank fills twice

100×30+70×20=4400 to be filled

Per gallon cost is $0.05

So the total cost is 4400×0.5=$220

So they spent $220 on water

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Michael is arranging 14 cans of food in a row on a shelf. He has 5 cans of carrots, 1 can of beets, and 8 cans of corn. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

18018

Given:

Number of cans = 14

Number of cans of carrots = 5

Number of cans of beets = 1

Number of cans of corn = 8

When there are n objects to be** arranged** in order, out of which r1 objects are of one kind, r2 objects are of another and so on, then the number of different **arrangement is **given as:

[tex]\frac{n!}{r_{1!*rx_{2 }! }.......r_{n} ! }[/tex]

n=14, r1= 5 ,r2=8

therefore 14!/(5!*8!)

=18,018

Therefore, the** distinct orders in **which the cans can be arranged is 18018

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Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?

**Answer: Sue fills 32/3 (Decimal form = 10.6667 containers)**

**Step-by-step explanation: 8 divided by 3/4 equals 32/3. If you need it in decimal form it's 10.6667**

*Please heart this or rate it :)*

**Answer:**

10 2/3 containers BUT can only fully fill 10 containers

**Step-by-step explanation:**

to solve this equation you need to divide 8 by 3/4

8 / 3/4

that is

8/1 / 3/4

when dividing fractions you must flip the second number and multiply both numbers together

8/1 * 4/3

32/3 is your answer

or

10 2/3

she can fully fill 10 containers

1 Without graphing, determine the characteristics of the graph.

(a) y = |x-3) -1

What is the vertex?

**Answer: **(3, -1)

**Step-by-step explanation:**

y = |x-3|-1

When y=|x|, vertex is (0, 0).

Now, let's translate the graph so it becomes y = |x-3|-1.

|x| ==> |x-3| Translate the graph 3 units to the right

Vertex: (0+3, 0) ==> (3, 0)

|x-3| ==> |x-3|-1 Translate the graph 1 unit down

Vertex: (3, 0-1) ==> (3, -1)

**Vertex: (3, -1)**

the endpoints of segment mn have coordinates (0, 0) and (5, 1). the endpoints of segment ab have coordinates (1 1 2 , 2 1 4 ) and (−2 1 4 , k ). for what value of k are these segments parallel?

**Answer:**

===============================

**Parallel** lines have **equal **slopes.

Find the **slope of the first line, mn**:

Find the** slope of the second line, ab**:

**Compare **the slopes and **find **the value of **k**:

**Answer:**

[tex]k=\dfrac{3}{2}[/tex]

**Step-by-step explanation:**

[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Slope formula}\\\\$m=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\ are points on the line.\end{minipage}}[/tex]

Segment MN

M = (0, 0)N = (5, 1)[tex]\implies \textsf{slope}=\dfrac{y_N-y_M}{x_N-x_M}=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]

Segment AB

A = (1 ¹/₂, 2 ¹/₄)B = (-2 ¹/₄, k)[tex]\implies \textsf{slope}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{k-2 \frac{1}{4}}{-2\frac{1}{4}-1\frac{1}{2}}=\dfrac{k-2 \frac{1}{4}}{-2\frac{1}{4}-1\frac{2}{4}}=\dfrac{k-2 \frac{1}{4}}{-3\frac{3}{4}}[/tex]

**Parallel lines **have the same slope.

Therefore, equate the found slopes for the two segments and solve for k:

[tex]\implies \dfrac{k-2 \frac{1}{4}}{-3\frac{3}{4}}=\dfrac{1}{5}[/tex]

Cross multiply:

[tex]\implies 5 \left(k-2 \frac{1}{4}\right)=-3\frac{3}{4}[/tex]

[tex]\implies 5k-10 \frac{5}{4}=-3\frac{3}{4}[/tex]

[tex]\implies 5k-11 \frac{1}{4}=-3\frac{3}{4}[/tex]

Add 11 ¹/₄ to both sides:

[tex]\implies 5k-11 \frac{1}{4}+11 \frac{1}{4}=-3\frac{3}{4}+11 \frac{1}{4}[/tex]

[tex]\implies 5k=(-3+11)+\left(-\frac{3}{4}+\frac{1}{4}\right)[/tex]

[tex]\implies 5k=8-\frac{1}{2}[/tex]

[tex]\implies 5k=7\frac{1}{2}[/tex]

Divide both sides by 5:

[tex]\implies 5k \div 5=7\frac{1}{2} \div 5[/tex]

[tex]\implies 5k \div 5=\dfrac{15}{2} \div 5[/tex]

[tex]\implies k=\dfrac{3}{2}[/tex]

Therefore, the value of k for which the two segments are parallel is ³/₂.

why do you multiply 10 by the repeating decimal to make a fraction.

**Solution :**

**Repeating or recurring decimals :**

Repeating or recurring decimals are those decimal expansions that do not terminate or end after a specific number of digits. Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits.

Decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2. But with repeating decimals, it is impossible to count the number of decimal places as it is infinite. So, there are some specific steps to be followed to convert repeating decimals to fractions.

**The repeating decimal to fraction steps of conversion are given below**:

Step 1: Identify the repeating digits in the given decimal number.

Step 2: Equate the decimal number with x or any other variable.

Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.

Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.

Step 5: Simplify to get the answer.

Let us take an example to understand the conversion of repeating decimals to fractions in a better way. Convert 0.77777... to a fraction.

Step 1: We can observe that 7 is repetitive in the given decimal number.

Step 2: Let x = 0.7777...

Step 3: There is only 1 repetitive digit, so multiply this equation by 10. We get, 10x = 7.7777...

Step 4: Subtract x = 0.7777... from 10x = 7.7777... We will get 9x = 7.

Step 5: x = 7/9. Therefore, 0.7777... = 7/9.

Hence,

you multiply 10 by the repeating decimal to make a fraction

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6:12 12:

Missing equivalent ratio

**Answer:**

24

**Step-by-step explanation:**

you multiplied 6 by 2 so you have to multiply 12 times 2 and you will get 24

Solve for x.

-4≤16-4x

0 x <-5

Ο x <5

0 x > -5

Ο χ>5

The **solution **to the given **inequality **(-4 < 16 - 4x) is **x < 5.**

Hence, option B) **x < 5 **is the correct answer.

Given the in equality in the question;

-4 < 16 - 4x

First, **rewrite **the **inequality **such that **x **is on the **left side**.

-4x + 16 > -4

**Subtract **16 from **both sides**

-4x + 16 - 16 > -4 - 16

-4x > -20

Divide both sides by -4

**Note that **when **dividing **both **sides **of an **inequality **by a **negative value**, the **inequality sign flips direction.**

-4x/-4 < -20/4

x < -20/-4

**x < 5**

The **solution **to the given **inequality **(-4 < 16 - 4x) is **x < 5.**

Hence, option B) **x < 5 **is the correct answer.

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A triangle has side lengths of (26 +5c) centimeters, (10b + 7d) centimeters, and

(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,

of the triangle?

The **perimeter** of the triangle will be 26 + 2c + 20b + 11d.

It should be noted that the perimeter of the triangle will be the addition of all the sides.

This will be:

26 + 5c + 10b + 7d + 4d - 3c

Collect like **terms**

26 + 5c - 3c + 10b + 11d

= 26 + 2c + 20b + 11d

Therefore, the **perimeter** of the **triangle** will be 26 + 2c + 20b + 11d.

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A triangle has side lengths of (26 +5c) centimeters, (10b + 7d) centimeters, and

(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,

of the triangle?

4c + 26d

b + d + 26

26 + 2c + 20b + 11d.

73 term for the arithmetic sequence 18,30,42

The 73rd term of the **arithmetic sequence** 18,30,42 = 882.

An **arithmetic** **sequence** seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and 27, for example, the common difference is 6. An **arithmetic** **progression** is another name for an arithmetic sequence.

The **sequence** is not arithmetic if the difference between **subsequent** terms is not **constant**. Subtracting two **consecutive** **elements** from the sequence yields a common difference.

Let us now look for the explicit rule for with this arithmetic sequence. We have the following:

aₙ = a₁ + (n - 1) * d

= 18 + 12 * (n - 1)

= 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

The 73rd term of the **arithmetic sequence** 18,30,42 = 882.

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Write the symbolic statement in words. Use p, q, r, s, t, and u as defined below.

p: The tour goes to Italy.

q: The tour goes to Spain.

r: We go to Venice.

s: We go to Florence.

t: The hotel fees are included.

u: The meals are not included.

r → ~s

We go to Florence and we do not go to Venice.

We go to Venice if and only if we do not go to Florence.

We go to Venice and we do not go to Florence.

If we do not go to Florence, then we will go to Venice.

If we go to Venice, then we will not go to Florence.

The definition of the **symbolic statement r → ~s **is:

If we go to Venice, then we will not go to Florence.

What is the definition of the given symbolic statement?First, we have to look at the definition of the **events**.

In this problem, the **statement **is:

If r then not s.

Considering events r and s, the **correct option** is:

If we go to Venice, then we will not go to Florence.

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What transformation carries the parallelogram below onto itself?

M(-2,3),

H(-4,-3)

A(4,3)

T(2,-3)

The **transformation **that carries the parallelogram below onto itself is a **rotation **by 180 degrees

The **coordinates **are given as:

M(-2,3),

H(-4,-3)

A(4,3)

T(2,-3)

The rule of **rotation **by 180 degrees is

(x, y) = (-x, -y)

When the above rule is applied, we have

M(-2,3), = T(2,-3)

H(-4,-3) = A(4,3)

A(4,3) = H(-4,-3)

T(2,-3) = M(-2,3)

Hence, the **transformation **that carries the parallelogram below onto itself is a **rotation **by 180 degrees

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Find the value of the x in the triangle shown below. Please help!

**Answer:**

**B ****x=****√****2****8**** ****using ****Pythagorean ****theorem **

How do I find the next three numbers in the sequence -2,-1,-1,0,-1,1,-2?

2, -1, -1, 0, -1,1, -2 is your pattern

fir

What are the next three numbers in the

pattern?

What you do is each number is the addition

of the next two numbers

So you next three numbers are 3, -5, 8

8-5=3,

3-2=1.

1-1=0 and so on

Answer: 3, -5, 8

Please Mark Brainiest

And give like

fir

What are the next three numbers in the

pattern?

What you do is each number is the addition

of the next two numbers

So you next three numbers are 3, -5, 8

8-5=3,

3-2=1.

1-1=0 and so on

Answer: 3, -5, 8

Please Mark Brainiest

And give like

Find two numbers which differ by 4 and whose product is 45

**Answer:**

The two solutions are

5 and 9

-5 and -9

**Step-by-step explanation:**

**Let x and y be the numbers**

x-y = 4

x*y = 45

Using substitution

x = 4+y

(4+y)y =45

4y + y^2 = 45

Subtract 45 from each side

y^2 +4y -45 =0

Factor

(y - 5) ( y+9) = 0

Using the zero product property

y -5 =0 y+9 =0

y=5 y = -9

Now we can find x

y=5

x = 4+y

x =4+5

x=9

y = -9

x = 4+y

x = 4+-9

x = -5

The two solutions are

5 and 9

-5 and -9

Knowledge Check

Question 10

The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Media and Engineering combined is

$30,000,000, what is the total annual budget?

**Answer: 150,000,000**

**Step-by-step explanation: **

Total percentage of editorial + engineering = 20%

Total budget of editorial + engineering = 30,000,000

So, Total budget*20/100 = 30,000,000

Total budget = 5*30,000,000

Total budget = 150,000,000

Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140°, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8.

The **angle **measures are;

Angle 7 is 40° = Angles 8 : supplementary

Angle 3 is 40° = Angles 8: supplementary angles

Angle 5 = 140° = Angle 8; corresponding angles

Angle 1 = 140° = Angle 8; corresponding angles

Angle 6 = 40° = Angle 8; supplementary angles

Angle 2 = 140° = Angle 8; corresponding angles

Angle 4 = 140° Angle 8; corresponding angles

How to determine the anglesGiven that **angle** 8 measures 140 degrees

It is important to note that angles on a **straight line **equals 180 degrees

Then,

angle 7 + angle 8 = 180°

Substitute the values of angle 8

Angle 7 + 140 = 180

Angle 7 = 180 - 140

Angle 7 = 40°

Thus, If angle 7 is 40° then angle 3 is 40°, **corresponding angles**

Angle 5 = Angle 8; corresponding angles

Angle 1 = Angle 8; corresponding angles

Angle 6 = Angle 7; corresponding angles

Angle 2 = Angle 8; corresponding angles

Angle 4 = Angle 8; corresponding angles

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fx(7)(87x+7y)(5)⁴is equal to the root of?

I believe this is the answer your looking for. If not I’m so sorry.

Completely stumped. If anyone can help, that would be greatly appreciated! Picture below.

Using **translation **concepts, we have that the table of values for the function **p(x) = x - 7** is given by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the **parent function** is:

y = f(x).

A translation **down 7 units** is represented by a subtraction by 7 in the range, that is:

p(x) = f(x) - 7 = x - 7.

The **numeric values** to be inserted in the **table **are given by:

In the **graph **at the end of the exercise, both functions are shown.

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Acasa Insurance Company offers several plans for home insurance.

Plan A has a $700 yearly premium with a $3,000 deductible.

Plan B has a $1,200 yearly premium with a $1,000 deductible.

The average payout by the insurance company for a fire claim is $27,000. Suppose 5% of the claims were for fire damage. What would Acasa's expected value (loss or gain) be per customer who chooses plan A

Acasa's expected value loss be per customer who chooses** plan A**

Assumption

Fill customers choose plan A

The average payout is the same for plans A & B

**Expected value = net **payment in -Net payment out

⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]

⇒ 700$ - 1200$

⇒ -500$

What are a **profit and lo**ss?

A profit and loss statement is a record of revenue and expenses incurred by a business in a given period of time. A profit and loss statement is also called a P&L, an income statement, a statement of profit and loss, and income and expense statement, or a statement of financial results.

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PLEASE HELP ALGEBRA 2

just do the first 2 or 3

Check out the attached photo

What’s 1,234,320 rounded to the nearest thousand

**Answer:**

4,000

**Step-by-step explanation:**

Rounding rule:

"4 or less, round down / keep the same."

"5 or more, round up."

Since the hundreds place has a 3, that means we round the thousands place to 4,000, because the hundreds place is lower than 5.

When the chef turned the new freezer on, the temperature on the internal thermometer was 2 °C.

After breakfast had been served, the temperature had gone down by 15 °C.

What was the new temperature?

**Answer: -13 °C.**

**Step-by-step explanation:**

About one eighth of the population is left-handed. In what size school would you expect to find about 50 left-handed students?

**Answer:**

400 students, 1/8 are left handed

**Step-by-step explanation:**

By the Empirical Rule, how many students in a class of 200 would score within the range μ ± 2σ ?

The **number of students **that score within the range μ ± 2σ is; 190 students

How to use the empirical rule of statistics?

The** empirical rule** is a tool for finding the ranges that are 1 standard deviation, 2 standard deviations, and 3 standard deviations from the mean, in which you'll find 68, 95, and 99.7% of the **normally distributed data** respectively.

This means that 2 **standard deviations** from the mean would indicate that 95% of the students would score within the given** range.**

Thus, number of students that score within the range μ ± 2σ is;

95% * 200 = 190 students

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The offspring produced via sexual reproduction are genetically ________ to the parents. a) indifferent b) identical c) parsimonious d) unique
9. A submarine is 140 ftbelow sea level. It rose 30 ft.What integer describes thenew depth of the submarine?
Which term describes a logical process in which a conclusion follows from specific facts?
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ANSWER PLS PLS PLS PLS PS I NEED HELP WITH THE TEST REACH OU TO ME
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