given that 5(x+k)=4x +. 20 and that x is positive show that k < 4

Answers

Answer 1

Answer: its 5k

Step-by-step explanation:


Related Questions

WILL GIVE BRAINLEST


Robert is ordering jerseys for the baseball team

A local company charges $5,25 for each jersey and $45 to create the design

An online company charges $7.75 for each jersey and $20 to create the design

For which number of jerseys is the cost the same at both companies?

A)26 jerseys
B)1 jersey
С)5 jerseys
D)10 jerseys

Answers

Answer: D) 10 jerseys

Step-by-step explanation:

Let j represent the number of jerseys and C for total cost

Local company eqn: C = 5.25j + 45

Online company eqn: C = 7.75j + 20

Set both sides equal to solve:

5.25j + 45 = 7.75j + 20

5.25j - 7.75j = 20 -45

- 2.5j = -25

[tex]\frac{-2.5j}{-2.5}=\frac{-25}{-2.5}[/tex]

j = 10

Therefore, the cost is the same for both companies when 10 jerseys are sold

The 20th term of the number sequence is 50
Write down the 21st term of the number sequence.

Answers

I hope this help too.

Answer:-

The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.

The nth term of an arithmetic progression is an=a1+(n−1)da_n=a_1+(n-1)dan​=a1​+(n−1)d, where ana_nan​ is the nth term, a1a_1a1​ is the first term, d is the common difference.

In our case, n=50,a1=27,d=−2n=50, a_1=27, d=-2n=50,a1​=27,d=−2 , hence, we get

a50=27+49⋅(−2);a50=27−98=−71.a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71. a50​=27+49⋅(−2);a50​=27−98=−71.

The 50th term of this sequence is (-71).

y=-2x-3
y=2x-1

y=x+4
y=-x+ 2

y=-2x-3
y=x+4

y=2x-1
y=-x+ 2.

W X Y Z
match each point if intersection with system of equations whose
Solution at the point

Answers

Y is the right answer

please help me asap!!!


ty :)

Answers

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6

Answers

Okay wait for a moment I’ll give u the answer

the ratio to boys to girls in sixth grade is 5:3 if their are 400 sixth graders how many boys are their

Answers

Answer:

250 boys

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide the total by 8 to find the value of 1 part of the ratio

400 ÷ 8 = 50 , then

number of boys = 5 × 50 = 250

Answer : There is 250 boys in the sixth grade

Step - by - step explanation :

400 / [ 5 + 3 ] = 400 / 8 = 50

50 x 5 <-- The ratio of boys = 250

Use substitution to solve each system of equations
2x -y = 6
-3y = -6x + 18

Answers

Hope this helps
Step are all below

PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between −10 and −4.
Enter the answer into the box

Answers

Answer:The distance between -9 and -4 is 6 units.Step-by-step explanation:

When we use the number line, we need to count forward from -10.

-9,-8,-7,-6,-5,-4Conclusion:

Therefore, the distance between -9 and -4 is 6 units.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.

Answers

Answer:

if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.

Joseph invests money in an account paying a simple interest of 2.9% per year. If he invests $60 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?

Answers

Hi there! I’m here to help you out with your question.

It costs Joseph 2.9% per year in interest.

This is a one step process, do 60 (money he invests) x .029 (interest) and you should get $1.74.

Add $1.74 + $60, and your answer is $61.74.

Thank you and I hope this helped you.

24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?

Answers

Answer:

8% annual

Step-by-step explanation:

first find the rate of 1 year. 960/3 = 320.

then find what % of 4,000, 320 is.

8%

the least number by which 7203 must be divided to make the result a perfect square is____​

Answers

Answer:

Step-by-step explanation:

we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49

Given number is 7203. First we write it as the product of prime factors.

[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]

Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.

____________________________________________

I need help plzzzzz!!!!!!!!

Answers

Answer:

100.73

Step-by-step explanation:

Area of Rectangle=140

Area of Semi-Circle=39.27

Area of Rectangle-Area of Semi-Cirlce=100.73

:) Help please..........................

Answers

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%

Answers

It is bbbbbbbbbbbbbbbbbb

Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:

C. 5.48%

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].

The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4000 - 3200}{500}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548 = 5.48%.

Hence option C is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)

please answer asap

Answers

Substitute 11 for f(x) and solve
5(4x-3)-2(x-6)=11
Distribute
20x-15-2x+12=11
Combine
18x-3=11
18x=14
x=14/18
x=7/9

Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?

Answers

Answer:

Horizontal compression by a factor of 2 followed by a vertical shift by positive 3

Step-by-step explanation:

a*f(k(x-d))+c

k=2

c=3

solve for A and line AB

Answers

Answer:

a = 22

AB = 50

Step-by-step explanation:

[tex]a-5=17[/tex]

[tex]a=17+5[/tex]

[tex]a=22[/tex]

Line AB=2a+6

[tex]2(22)+6=44+6=50[/tex]

[tex]AB=50[/tex]

Hope this helps

Square ABCD is drawn on the coordinate plane (not shown) with vertex A(-4,-2) and the midpoint of side AB at (-1.-6). What is the area of the square?

Answers

Answer:

ab hehehe hende ko Alam hahahah

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex]

What is the area of square?

The area of a square is equal to

(side) × (side) square units.

Here given that,

Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]

Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]

So,

[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex].

To know more about the area of square

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Jane wrote all the natural numbers from 5 to k. including 5 and k
how many numbers did Jane write?
need help!!!

Answers

Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"

So Jane wrote k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Jane wrote k - 4 natural numbers for the given condition.

What are natural numbers?

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Jane wrote all the natural numbers from 5 to k, including 5 and k.

So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.

To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.

1, 2, 3, 4, 5, ..., k-1

So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.

Therefore, she wrote k - 4 natural numbers.

Learn more about natural numbers here :

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Solve for m.

35m>−30


m>−50

m<−50

m>−18

m<−18

Answers

[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]

What is the equation of the line that passes through the point (8,-4) and has a slope of 3?

Answers

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

The maximum weight of a shipping container is 125 pounds.
What is the maximum weight in kilograms?
Round to the nearest kilogram.

Answers

Answer:

57kg

Step-by-step explanation:

The maximum weight of a shipping container would be 57 kilograms.

What are units of measurement?

The units of measurement are a collection of units used to quantify various physical quantities. Since ancient times, humans have measured these things using a variety of units, including length, mass, volume, current, and temperature.

The maximum weight of a shipping container is 125 pounds which are given in the question.

We have to determine the maximum weight in kilograms

We know that the unit conversion of pounds to kilograms as

1 pound ≈ 0.45359237 kilogram

Multiply by 125 to get

125 pounds = 0.45359237 × 125 kilograms

125 pounds = 56.69904625 kilograms

Round to the nearest kilogram,

125 pounds = 57 kilograms

Therefore, the maximum weight of a shipping container would be 57 kilograms.

Learn more about the units of measurement here:

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Help me solve this please!

Answers

Answer:

x=15

Step-by-step explanation:

if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides

Please help me with this math problem!! NO LINKS PLEASE!! :)

Answers

Answer:

105°.

Step-by-step explanation:

1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;

2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible

3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.

The drama club is selling tickets to their play to raise money for the show's expenses:

Each student ticket sells for $5 and each adult ticket sells for $7.50

The auditorium can hold no more than 75 people.

The drama club must make a minimum of $450 from ticket sales to cover the show's costs.

If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

  see attached

Step-by-step explanation:

The two inequalities you want to plot are ...

  x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people

  5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs

__

These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.

The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.

On of the points in the potential solution area is shown in the attached graph:

  (x, y) = (25, 50) . . . . fills the theater, gives $500 revenue

Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?​

Answers

Answer:

5

Step-by-step explanation:

(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5

what is the length of XY​

Answers

Answer:

15

Step-by-step explanation:

Please solve this question

Answers

Answer:

46?

Step-by-step explanation:

23*2=46

Answer:

37.31 cm

Step-by-step explanation:

∡ AB = 180 - 148 = 32° = ∡ DE

∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°

∡ CE = 61 + 32 = 93°

arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm

a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the volume of each box is 6 ft.³ and the volume of each large box is 12 ft.³ a total of 27 boxes of paper were shipped with a combined volume of 250 to cubic fe. graphically solve a system of equations in order to determine the number of small boxes shipped X and the number of large boxes shipped Y

Answers

Answer:

the answer is 10 :)

Step-by-step explanation:

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