Answer:

k=3/10

Step-by-step explanation:

8y=12x+6 >>>>(÷8) both sides

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

if x=0, y=3/4

4y=k(3x+10) >>> plug in (0, 3/4)

4(3/4)= k(0+10)

3= 10k >>> (÷10) both sides

k=3/10

What are the sum of all the factors of 50 which are between 1 and 50. A. 42B. 2550C. 92D. 15

Factors of 50 are the numbers which on dividing 50 leave no remainder. 50 is a composite number, therefore, it has more than 2 factors.

We can get the factors of 50 by Prime Factorization. We can draw a factor tree to get the prime factors of 50 as shown below:

Therefore, the prime factors are:

[tex]2,5,5[/tex]Hence, the other factors are:

[tex]\begin{gathered} 2\times5=10 \\ 5\times5=25 \end{gathered}[/tex]Therefore, the factors of 50, including 1 and 50, are:

[tex]1,2,5,10,25,50[/tex]The question asks to sum all the factors between 1 and 50. This means that 1 and 50 are not included in the sum.

Therefore, the sum will be:

[tex]\Rightarrow2+5+10+25=42[/tex]**The correct option is ****OPTION A****.**

Trina wants to hang-glide at the same number of meters above sea level as she scuba-dived below sea level. Will she fly higher than Jessie did? Explain

Trina is **closer** to the surface of the ocean. She will not fly higher than Jessie did.

Consider the provided information.

The distance is the absolute value of a number.

Part (A) : It is given that Trina went scuba diving and reached an elevation of -85.5 meters, which is below sea level.

That means the **distance** she covers is: |-85.5| = 85.5 meters

Thus Trina covers 85.5 meters.

Jessie went hang gliding and reached 87.9 meters which is above sea level.

That means the **distance** she covers is: |87.9| = 87.9 meters

We know that 85.5 < 87.9

So, we can say that Trina is closer to the surface of the ocean as she covers less distance.

Part (B) : Trina wants to hang glide at the same number of meters above sea level as she scuba dived below sea level.

That means she will hang the glide at a height of 85.5 meters.

As we know 85.5 < 87.9

Thus, she will not fly higher than Jessie.

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A cyclists speed is 1.5 times faster than a walkers speed. they simultaneously start moving in the same direction from the same point and, after 1.5 hours, the distance between them is 12.5 miles. what are their speeds?

**Answer:**

The biker's pace is 25 miles per hour and the walker's speed is 50/3 miles per hour.

**Answer:The speed of the walker is 16.67 miles per hour.**

**The speed of the cyclist is 25 miles per hour.**

**How to calculate the value?**

**Let the speed of a walker = x**

**Biker's speed = 1.5x**

**Their relative speed will be:**

**= 1.5x - x = 0.5x**

**Distance between them = 12.5 miles**

**Time taken = 1.5 hours.**

**It should be noted that distance will be:**

**= Speed × Time**

**12.5 = 1.5 × 0.5x**

**Divide through to get x**

**12.5 = 0.75x**

**x = 16.67 miles per hour.**

**Speed of cyclist = 16.67 × 1.5 = 25 miles per hour.**

The nurse is assessing a client’s lymphatic system. For which enlarged node should the nurse suspect that the client has a blockage within the right lymphatic duct?.

The enlarged **node** that the **nurse** should suspect that the client has a blockage within the right lymphatic duct is the right cervical node

A network of **tissues**, blood arteries, and organs called the lymphatic system collaborates to transport lymph, a colorless, watery fluid, back into your circulatory system. Every day, your body's **arteries**, smaller arteriole blood vessels, and capillaries circulate about 20 liters of plasma.

The right **lymphatic** duct receives drainage from the right cervical node. The thoracic duct receives drainage from the superficial popliteal, superficial inguinal, and lumbar nodes. The sides and back of the neck include the cervical lymph **nodes**.

Typically, these **glands** are incredibly tiny. A lymph node, however, is swollen if its diameter is higher than 1 centimeter. Deep inside the **neck**, the cervical lymph nodes are located.

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line L passes through (3,5) and is parallel to y = 6x-2. Find the equation of line L

**Answer:**

y = 6m - 13

**Step-by-step explanation:**

Parallel lines have the same slope. The slope in the equation y = 6x -2 is 6.

To write an equation in the slope intercept form, we need a slope and a y-intercept. We have the slope, we need to find the y-intercept.

To find the y intercept, we need a slope, and x on the line and a y on the line. The point (3,5) gives us the x and the y.

slope = 6

x = 3

y = 5

y = mx + b plug in what we know and solve for b

5 = 6(3) + b

5 = 18 + b Subtract 18 from both sides of the equation

-13 = b

y = mx + b

y = 6m - 13

in a rectangle, one side is 3 times as long as the other. Now the longest side is extended by 4m. Then the area will be 96 square meters larger. How long were the original sides?

The **length** of the original **sides** of the **rectangle** are 72m and 24m.

The **area **of a** rectangle **formula is used to calculate the area occupied by the rectangle within its boundaries. A rectangle's area is calculated by multiplying its **length **and **breadth.**

Given:

One side is 3 times as long as the other in a rectangle.

Let the length of the rectangle be 3x and the breadth of the rectangle be x.

Area of original rectangle = length × breadth

= 3x² m²

Now, the longest side is extended by 4m.

Length of rectangle = 3x + 4

Area of rectangle = length × breadth

= x(3x + 4) m²

It is given that this **area **will be 96 **square meters** larger than the former.

So, x(3x + 4) - 3x² = 96

⇒ 3x² + 4x - 3x² = 96

⇒ 4x = 96

⇒ x = 24 m

Original length of the rectangle = 3x = 3×24 = 72m

Therefore, the original length** **of the rectangle is 72m and the original breadth of the rectangle is 24m.

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A car park charges £1.20 to each car entering.

The payment station only accepts £1 coins and 20p coins.

Here are the coins collected from the payment station on a particular day:

Number of £1 coins

176

Number of 20p coins

320

Assuming each driver paid the exact amount due on that day, work out the

percentage of drivers that paid with six 20p coins.

Optional working

+

Answer:

**Answer: 12%**

**Step-by-step explanation:**

12%

Explanation:

If has 176 £1 coins then 176 drivers paid £1 and 20 p coins.

The rest of the driver paid with 20 p coins.

So the number of 20 p coins is:

320 - 176 = 144

Since £1 and 20 p need 6 coins of 20 p, the number of drivers who paid only for 20 p coins is:

144 / 6 = 24

The total number of drivers is:

176 + 24 = 200

The percentage of drivers who paid only with coins id 20 p is:

24 / 200 • 100% =

0.12 • 100% = 12%

3 1/8 times 3 1/2 times 4/5

**Answer: 8.75**

**Step-by-step explanation:**

3 1/8 into a decimal is 3.125

3 1/2 into a decimal in 3.5 or 3.50

4/5 into a decimal is 0.8 or .8

Then just multiply 3.125 and 3.5 and you get 10.9375

Next, multiply 10.9375 by 0.8 and you get 8.75

**Therefore your answer is ****8.75**

what is an equation of the line that passes through the points (-4, 5) and (-4, -2)

**Answer: no equation can pass through those points**

**Step-by-step explanation:**

the x value -4 has two y values, 5 and -2. a function needs at most 1 y value to be considered a function.

There is a line that includes the point (1, – 2) and has a slope of 10. What is its equation in point-slope form?

The **equation **of line in** point - slope **form will be;

⇒ y + 2 = 10 (x - 1)

**What is Equation of line?**

The **equation of line** in point-slope form passing through the **points **

(x₁ , y₁) and (x₂, y₂) with **slope **m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The **point **on the line = (1, -2)

And, The **slope **of the line = 10

Now,

Since, The **equation of line** in point-slope form is;

⇒ y - y₁ = m (x - x₁)

Where, (x₁ , y₁) is the **point **on the line and m is **slope **of the line.

Hence, The **equation of line** in point-slope form passing through the points (1, -2) with slope 10 is;

⇒ y - y₁ = m (x - x₁)

⇒ y - (-2) = 10 (x - 1)

⇒ y + 2 = 10x - 10

⇒ y = 10x - 10 - 2

⇒ y = 10x - 12

Thus, The **equation **of line in** point - slope **form will be;

⇒ y + 2 = 10 (x - 1)

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Evaluate.

15÷(3+13)^2

Responses:

1 7/20

1 7/9

4 1/2

5 1/9

PLEASE HELP

**Answer:**

** explain 15/256**

PLEASEEEE HELPPP!!!!

1. x=11

Height=4

Área=25

2. x=35

Hypotenuse= 39

Area=296

Hope this helps!

Height=4

Área=25

2. x=35

Hypotenuse= 39

Area=296

Hope this helps!

a length of black steel pipe is 21'-0" long. how much if the length remains of two pieces 7'-9 5/8" are cut from the length?

A **mixed fraction** is one that is represented by both its quotient and remainder. A **mixed fraction** is, for instance, 9 5/8, where 9 is the quotient and 5 is the remainder.

Remain** length** = 13.2' = 13' 2 2/5 ".

Length of black steel pipe is 21'-0".

7' 9 5/8" =7.8 '

Remain length = 13.2' = 13' 2 2/5 ".

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2/5 y 6/15 son equivalentes?

Correct answer is down below

**To know if 2/5 and 6/15 are equivalent, we do a multiplication, then,**

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{2}{3}=\frac{2\times2}{5\times2}=\frac{4}{10} \ \ \longmapsto \ Not \ the \ result } \end{gathered}$} }[/tex]

**Since if we try it with number 1**,* the* **result would be the same***, then we ***continue with 2 being closer**, *then we* **continue with number 3, successively**, *until we reach the ***expected answer.**

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{2}{3}=\frac{2\times3}{5\times3}=\frac{6}{15} } \end{gathered}$} }[/tex]

2/5 and 6/15 are equivalent?, The two fractions are equivalent, (True).Change 36 inches into feet given the fact that 1 foot = 12 inches.

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

Work Shown:

1 foot = 12 inches

3*1 foot = 3*12 inches

3 feet = 36 inches

I multiplied both sides by 3 so that the "12" turns into "36".

**Answer:3 feet**

36/12=3

3x12=36

so 36 inches= 3 feet

hope it helps

4. last year nina invested $6,000. she put some of it in a cd the paid 4% simple interest, and she put the rest of it in a savings account that earned 2.5% simple interest. at the end of the year she earned a total of $204 interest. how much did she invest in each account? assume there were no other deposits or withdrawals.

She invested $2,400 in the 2.5% account and $3,600 in the 4%** simple interest **account

Here, we want to know the amount of money invested in each account

Let the amount invested in the 4% **simple interest **account be $x ----> (a)

While the amount invested in the 2.5% account be $y -------->(b)

So mathematically;

Both the interests are added to get total interest

x + y = 6,000 ••••••(i)

Let’s now evaluate the interest

for the 4% account , interest = 4/100 * x = 4x/100

For the 2.5% account, interest = 2.5/100 * y= 2.5y/100

The addition of both interests gives the total **simple interest**;

4x/100 + 2.5y/100 = 204

Multiply through by 100

4x + 2.5y = 20,400 •••••••(ii)

From i, x = 6,000 - y

Putting this into equation ii

4(6,000-y) + 2.5y = 20,400

24,000 - 4y + 2.5y = 20,400

24,000-20,400 = 4y - 2.5y

1.5y = 3,600

y = 3,600/1.5

y = $2,400

Recalling it again,

x = 6000 - y

x = 6,000 - 2,400

x = $3,600

Therefore, Nina invested $2,400 in the 2.5% account and $3,600 in the 4% **simple interest **account

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I keep getting the wring answer. I don’t know what I’m doing wrong.

we have the expression

[tex]y=x^2+x-4[/tex]Remember that

[tex]i^2=-1[/tex]Evaluate

For x=2i

substitute

[tex]y=(2i)^2+2i-4[/tex][tex]y=4i^2+2i-4[/tex][tex]\begin{gathered} y=4(-1)+2i-4_{} \\ y=-4+2i-4 \\ y=-8+2i \end{gathered}[/tex]let x denote the number of times harry potter manages to irritate professor snape in one day. let y denote the number of times ron weasley manages to irritate professor snape in one day. and let the joint probability mass function for (x, y) be given as

the **probability **that Ron will get in trouble with Professor Snape at least two times in one day is 0.7

We are given

X 0 1 2 3 4

P(X) 0.15 0.20 0.20 0.30 0.15

we want Ron Weasley to get in trouble at least two time in one day

that **mean **X 2

P(X 2) = P(X=2) + P(X=3) + P(X=4)

= 0.20+0.30+0.15

= 0.65= 0.7 (rounded to nearest tenth)

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find the length of the arc shown in red. Leave your answer in terms of pie

EXPLANATION

Given the circle, we can see the following facts:

Diameter= 24 ft ----> radius= 12 ft

Total arc length = 360°

The arc of a semi-circle is equal to 360/2 = 180 degrees

The red labeled arc is given by the difference between 360, the other 60 degrees and the semi-circle,

360° - 180° - 60° = 120°

So, representing this as a radian form:

[tex]\text{arc length = 2}\cdot\pi\cdot r\cdot(\frac{\theta}{360})[/tex][tex]\text{arc length = 2}\cdot\pi\cdot12\cdot(\frac{120}{360})[/tex]Multiplying terms:

[tex]\text{arc length = 24}\cdot\pi\cdot\frac{1}{3}[/tex]Simplifying:

[tex]\text{arc length= 8}\cdot\pi[/tex]**So, the answer is 8π ft**

Is the following statement true or false? The cube root of zero is zero.

The statement that The** cube root** of zero is zero is true .

The number that results in the original number after being **multiplied** three times is known as the cube root of a number.[tex]\sqrt[3]{}[/tex] The sign is used to represent a number's **cube root** in radical form.

The cube root of 0 will be calculated and explained here. First, observe that the mathematical symbol for the cube root of O is as follows:

[tex]\sqrt[3]{0}[/tex]

The number (n), which you can multiply twice by itself to get the number zero, is the **cube root** of zero. Alternatively, n×n×n should equal 0. Consequently, the following **equation** can be used to address the issue:

[tex]n^{3}[/tex] = 0

The answer to the cube root of 0 is as follows when the aforementioned equation is solved:

[tex]\sqrt[3]{0}[/tex]= 0

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6+3x^4+7x^5+7x^2 it’s polynomials

The given polynomial** **6+3x⁴ +7x⁵ +7x² is a **quadrinomial.**

So, 6+3x⁴ +7x⁵ +7x²:

We can observe that the given polynomials have 4 terms, and a polynomial with 4 terms is known as aTherefore, the given polynomial** **6+3x⁴ +7x⁵ +7x² is a **quadrinomial.**

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If BC= 6x+6 , AB= 8x+9 , and AC=142 find BC

The value of **BC** is 60.6.

According to the **segment addition** postulate, if we have two locations on a **line segment**, A and C, a third point B lies on the line segment AC if and only if the **lengths** between the points match the requirements of the **equation** AB + BC = AC.

Given:

BC = 6x+6

AB = 8x+9

AC = 142

We need to find BC.

As AB and BC combine to form AC, we add them together and equate them with the value of AC to determine the value of x.

Using the **property of segment addition**,

AB + BC = AC

8x + 9 + 6x + 6 = 142

Combine the** variable** terms and **constants **together,

14x + 15 = 142

14x = 142 - 15 (Subtracting both sides by 15)

14x = 127

x = 9.1

Hence the value of BC is,

BC = 6x + 6 = 6(9.1) + 6 = 60.6

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SSS stands for ___ Congruence Postulate ( will mark Brainliest )

**Answer:**

I believe it stands for Side, Side, Side

**Step-by-step explanation:**

When two triangles with all three sides are equal they're SSS

Andre wants to make an open-top box by cutting out corners of a 22 inch by 28 inch piece

of poster board and then folding up the sides. The volume V(x) in cubic inches of the

open-top box is a function of the side length x in inches of the square cutouts.

Write an expression for V(x).

what is the volume of the box when x=6

The expression for **volume** is (28-2x)(22-2x)x and when x=6, the **volume** is **840 inch^3.**

A 3D object's volume is the amount of actual space it occupies. It is a 2D shape's 3D **equivalent** of **area**. It is quantified in cubic units like cm3. It means that the amount of space a closed form can occupy in three dimensions depends on its volume. **Volume** is a gauge of a thing's potential. For instance, a cup is said to have a 100 ml capacity if the brim can hold 100 ml of water. Another way to measure volume is the amount of space a **three**-**dimensional** item takes up.

According to question,

Let x be the height of the cubic box

Length = (28-2x)

Breadth = (22-2x)

**Volume** = x(28-x)(22-x)

When x =6

**Volume** = 6(28-6×2)(22-6×2)

=6(10)(14)

**=840 inch^3**

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On a cold January day, Klara noticed that the temperature dropped 21 degrees over the course of the day to –9°C. Write and solve an equation to determine what the temperature was at the beginning of the day.

x = 21 - 9

x = 12

The temperature at the beginning of the day was 12* C

x = 12

The temperature at the beginning of the day was 12* C

:: 3x + 3 = 2(x + 7)

**Answer: x= 11**

**Step-by-step explanation:**

**Answer:**

x=11

**Step-by-step explanation:**

im assuming u r trying to find x

you need to solve the bracket first (2×x =2x , 7×2= 14)

After that move numbers with x to ur left, to make life easier

3x-2x= x

14-3 = 11

x=11

Please help , I need help thanks

these are the questions there are five , I need this today

I will give out brainlist

The solution to the** inequality** problem is represent by the graph attached below.

To solve this problem we simply need to use a** graphing** a **calculator **to plot the graph of the two inequalities. The points of intersection represents the solution of the graph.

The broken purple line represents the first inequality and the second straight line represents the second inequality.

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can you help me with this? i got it wrong

[tex]YZ=35.3[/tex]

**1) ** Let's sketch this out so that we can better understand it

**2) **Reminding ourselves of the metric relations of a right triangle we can write out the following:

Note that the radius intersects that chord with a 90º angle so it bisects that chord.

Write a two-column proof

The **angles** ∠4 and ∠6 are found to be **supplement **angles.

For the given question;

∠5 ≅ ∠6 ( both are **congruent **means equal)

As, ∠4 and ∠5 are forming on the straight line. Thus,

∠4 + ∠5 = 180 (**linear pair**)

But, ∠5 ≅ ∠6 , replacing ∠5 with ∠6 .

∠4 + ∠6 = 180 supplement angles.

Thus,** ∠4 and ∠6** are found to be supplement angles.

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“If the sum of two angles is 180 then the angles are supplementary

If the sum of two angles is 180 then the angles are **supplementary.This** is true.

**Supplementary angles** are those that total 180 degrees. Angles 130° and 50°, for example, are supplementary angles since the sum of 130° and 50° equals 180°.

If the total of two **angles** is 180 degrees, they are considered to be supplementary angles since they form a linear angle when combined. If the total of two angles is 90 degrees, they are considered to be **complimentary** angles since they produce a right angle when combined.

If two angles add up to 180 degrees, they are considered to be **supplementary** angles in geometry. For example, if A + B = 180°, A and B are referred to as supplementary angles. When **supplementary** angles are combined, they always yield a straight **angle** (180 degrees).

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Qu estn haciendo? What are they doing? In the first blank, conjugate the verb estar to reflect who is doing the action. In the second blank, use thepresent participle to reflect the ongoing action. Use the word bank to help you. You must remember your accents when necessary (copy/paste: ). Donot capitalize or use punctuation, as it will confuse the system.Banco de palabras: escribir1. El profesor2. Yo3. (clima): Hoy4. Mis hijos5. Ellabailarlloverleercomeren la pizarra.una novela de Laura Esquivel.- es un buen da para ver una pelcula en casa.sndwiches.en el club con sus amigas.
help me with math, its 8th grade 100 points look at attachment
calculate bond price if the coupon payment is 8%, yield for the bond is 10%, bond's face value is 1,000 and matures in 6, if paid semi-annually (enter the answer in dollar format without $ sign or thousands comma -> 3519.23 and not $3,519.23 or 3,519.23)
The solution of a quadratic equation are called its ____1- x-intercepts2- zeros 3- roots4- all of the above
Betrys is making a vegetable stew for 8 people
Hell asap!!!Which type of energy is produced through fission?A.solarB.windC.nuclearD.fossil fuels
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Susana is enrolled in a photography class and has been Complete each statement.pricing entry-level DSLR cameras. The prices areNormally distributed.Use the z-table to answer the question.w88%-2 -1Z-score1 2 3The Z-score of abouttells us that 88% ofthe observations in the distribution are at or belowstandard deviations above the mean.The Z-score of abouttells us that 12%of the observations in the distribution are at or belowstandard deviations below the mean.
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Review the data and calculate the probability that someone with a credit score of 650 or below defaulted the loan
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(1) In the 1970s the popular advice columnist Ann Landers published a letter from a young couple about to be married. The letter said, so many of our friends seem to resent their children. They envy us and our freedom to go and come as we please. Then theres the matter of money. They say their kids keep them broke. Will you please ask your readers the question: 'If you had it to do over again would you have children?' Nearly 10,000 of her readers responded. 70% said no. (2) The Good Housekeeping magazine published the results of the poll with a sidebar that said, All of us at Good Housekeeping know that no mother will be able to read Ann Landers report without passionately agreeing or disagreeing. We would like to know what your reaction is. Wont you therefore, take a minute or two to let us know how you would answer the question: 'If you had it to do over again, would you have children?' The results for the Good Housekeeping poll were 95% yes. These two polls gave opposite results! What i
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1. A sound engineer has set up his mixing equipment a distance from an outdoor band shell.She claps her hands and hears the echo 0.250 s later. If the speed of sound was 340.0m/s, how far from the wall was she?