Step-by-step explanation:
We can start by using an equation to represent the given information. Let's call the number p, and the number k, then:
k = (1/5)p + 6
So, "six more than one-fifth of a number p is equal to a number k" can be represented mathematically as k = (1/5)p + 6. To find the value of p, we can solve for p:
p = 5k - 30
So, p is equal to 5 times the value of k minus 30.
if 30% of a number is 7, then what is 10% of the number ?
Answer:
70.0000
Step-by-step explanation:
aka 70%
Which of the following statements proves the series 250 – 150 + 90 – 54 + … is geometric?
r equals five thirds
r equals three fifths
r equals negative three fifths
The given series is geometric when r equals negative three-fifths.
What is geometric series?
The geometric series refers to the total of terms with a common ratio between every pair of neighbouring terms. Geometric series can be of two different types: finite and infinite. The sequence is of the form {a, ar, ar², ar³, …….} where, a is the first term, and r is the "common ratio".
where, r = ar/a = (second term)/(first term)
Given, the series 250 – 150 + 90 – 54 + …
So, r = (-150)/250 = -3/5
or, r = 90/(-150) = -3/5
Hence, for the geometric series, r should be equal to negative three-fifths.
To learn more about geometric series
https://brainly.com/question/24643676
#SPJ1
The area of a rectangular wall of a barn is 110 square feet. Its length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.
width= =feet
The length and width of the rectangular wall of a barn given the area is 22 feet and 5 feet respectively.
What is the length and width of the wall of the barn?Area of the rectangular wall of a barn = 110 square feet
Width of the barn = w
Length of the barn= 2w + 12
Area of a rectangle = length × width
110 = (2w + 12) × w
110 = 2w² + 12w
equate to 0
2w² + 12w - 110 = 0
w² + 6w - 55 = 0
using factorization method of solving quadratic equation
w² + 11w - 5w - 55 = 0
w(w + 11) - 5(w + 11) = 0
(w - 5) (w + 11) = 0
w = 5 or w = -11
The width of the rectangular barn cannot be negative
Therefore,
Width of the barn = w
= 5 feet
Length of the barn= 2w + 12
= 2(5) + 12
= 10 + 12
= 22 feet
Read more on area of rectangle:
https://brainly.com/question/25292087
#SPJ1
what is the value of 8.4n - 3.2p, when n=4 and p=-2
Answer:
33.6-(-6.4)=40
Step-by-step explanation:
1. 8.4×4
2. 3.2x-2
3. 33.6-(-6.4)
4. 40
the two negatives become positive
If f (x) = 5x - 4 find f(2).
10
48
2
6
Answer:
6
Step-by-step explanation:
f(2) = 10-4 = 6
Answer:
[tex] \sf \: d) \: 6[/tex]
Step-by-step explanation:
Given function,
→ f(x) = 5x - 4
We have to find,
→ The required value of f(2).
Now value of f(2) will be,
→ f(x) = 5x - 4
→ f(2) = 5(2) - 4
→ f(2) = 10 - 4
→ [ f(2) = 6 ]
Therefore, the answer is 6.
Painted Pots lets customers choose and paint their own potter
y. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
Which equation can you use to find c, the cost of each teacup?
What was the cost of each teacup
The value of the equation is y = 4c + 18 , where c is the cost of each teacup and c = $ 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total cost Rebecca spend on teacups = $ 42
The cost of the large teapot = $ 18
The cost of small teacups be = c
The number of small teacups = 4
So , the equation will be
Total cost Rebecca spend on teacups = cost of the large teapot + ( number of small teacups x cost of small teacups )
Substituting the values in the equation , we get
42 = 18 + 4c
y = 4c + 18 be equation (1) , where y is the total cost
On simplifying the equation , we get
Subtracting 18 on both sides of the equation , we get
4c = 24
Divide by 4 on both sides of the equation , we get
c = $ 6
Therefore , the cost of each teacup is $ 6
Hence , the equation is y = 4c + 18
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ9
examine whether you can construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm. Justify your answer
You cannot construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm, as the sum of the lengths of the two smaller sides is not greater than the length of the larger side.
What is the condition for 3 lengths to represent a triangle?In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.
The lengths for this problem are given as follows:
Two smaller sides: 3 cm + 3 cm = 6 cm.Larger side: 6 cm.More can be learned about triangles at https://brainly.com/question/21735282
#SPJ1
NEED HELP ASAP PLEASE! What is the equation of the function shown in the table?
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
A: y = -2 x + 1
B: y = 2 x + 1
C: y = 2 x - 2
D: y = - 1/2x - 1
The equation of the function shown in the table is y=2x +1, the correct option is B.
What is the equation of a line passing through two given points in 2 dimensional plane?Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
We are given that;
The x and y of the function
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
Now,
The general equation of line
y=mx+c
Here, m= 5-3/2-1
m=2
Substituting the value of m in general equation.
y=2x +1
Therefore, the equation of line will be y=2x +1
Learn more about straight line equation here:
https://brainly.com/question/380976
#SPJ1
Maya had $32. She spent all the money on buying 3 notebooks for x dollars each and 4
packs of index cards for y dollars each. If Maya had bought 5 notebooks and 5 packs of
index cards, she would have been short $18. Which system of equations represents this
situation?
O 3x + 4y = 32 and 5x + 5y = 50
O 3x+4y= 32 and 5x + 5y = 18
O 3x + 4y = 50 and 5x - 5y = 18
O 3x - 4y= 32 and 5x - 5y = 50
The system of equations which represents this
situation is 3x+4y= 32 and 5x + 5y = 18.
The correct answer choice is option B
Which system of equations represents the situation?Amount with Maya = $32
Amount spent on each notebook = x
Number of notebook = 3
Amount spent on each pack of index cards = y
Number of index cards = 4
Maya bought 5 notebooks and 5 packs of
index cards
$18 short = $32 - $18
= $14
3x + 4y = 32
5x + 5y = 14
In conclusion, the system of equation is 3x+4y= 32 and 5x + 5y = 18.
Read more on system of equation:
https://brainly.com/question/13729904
#SPJ1
Hello can you help me solve
Answer:
(p o q) = 54
(q o p) = 68
Step-by-step explanation:
Another way to write is (p o q)(3) is p(q(3)). As you can see, you start with the inner function and 3 is an input in the q(x) function. Then, the output of this becomes the input of p(x) (the outer function), which yields a final output and the answer:
[tex]p(x) = 4x + 2\\q(x)=5x-2\\\\p(q(3))\\\\q(3)=5(3)-2=13\\p(13)=4(13)+2=54[/tex]
You do the same process for (q o p)(3), which can be written as q(p(3)), where you start with p(3) and then plug in this result as the input for q(x):
[tex]p(x)=4x+2\\q(x)=5x-2\\\\q(p(3))\\\\p(3)=4(3)+2=14\\q(14)=5(14)-2=68[/tex]
In fall 2006, Pace University in New York raised its annual tuition from $25,000 to $29,750. Freshman enrollment declined from 1,475 in fall 2005 to 1,130 in fall 2006. Assuming that the demand curve for places in the freshmen class at Pace did not shift between 2005 and 2006, use this information to calculate the price elasticity of demand LOADING... . Use the midpoint formula in your calculation.
Answer:The answer is 20000
Step-by-step explanation:
Marsha deposited $7,000 into a savings account 4 years ago. The simple interest rate is 2%. How much money did Marsha eam in interest?
Answer:
$560
Step-by-step explanation:
The formula for simple interest is:
I = Prt, where P is the principal, r is the interest rate, and t is the time (in years).
Plugging in the values, we get:
I = $7,000 * 2% * 4 years = $560
So, Marsha earned $560 in interest.
help please i don’t know what to do
Answer:
Add 3 and then multiply by 5.
Step-by-step explanation:
The problem looks like this to me:
[tex] \dfrac{m}{5} - 3 = 8 [/tex]
If this is correct, then the operations are:
Add 3 to both sides.
Multiply both sides by 5.
I don't see that answer. The picture is not very clear to me. What is the denominator of the fraction?
Find the missing values.
Select two answers.
Answer:
a= 12, b=4, Choices B and F
Step-by-step explanation:
2/2=1
8/2=4
12/2=6
19. The mass of a radioactive element is 35
milligrams. The mass of the element decreases by
12.9% every year.
a. Write a function that represents this situation.
b. Predict the mass of the element in 4 years. Round
your answer to the nearest tenth.
c. Will the mass of the radioactive element ever be 0
milligrams? Explain.
a) The function that represents this situation is,
⇒ y = 35 (1 - 12.9%)ⁿ
Where, 'n' is number of years and 'y' is mass of element.
b) For 4 years, the mass of the element is, 19.95 milligrams
c) No, the mass of the radioactive element will never be 0 milligrams.
What is expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
The function that represents this situation is,
⇒ y = 35 (1 - 12.9%)ⁿ
Where, 'n' is number of years and 'y' is mass of element.
Now, For 4 years, the mass of the element is,
⇒ y = 35 (1 - 12.9%)ⁿ
⇒ y = 35 (1 - 12.9%)⁴
⇒ y = 35 (1 - 0.129)⁴
⇒ y = 35 (0.87)⁴
⇒ y = 35 × 0.57
⇒ y = 19.95 milligrams
No, the mass of the radioactive element will never be 0 milligrams.
Learn more about mathematical expression visit:
brainly.com/question/1859113
#SPJ9
Could anyone help with #1 and #2 PLEASE.
URGENT! DUE TOMORROW!!
Answer:
Do the graph Then Solve for y
Answer:
1. Yes, a graph of this relationship will be linear.
2. The y-intercept of the graph is (0, 2).
Step-by-step explanation:
1. The equation will be linear because it can be written in the standard form for the equation of a line. The standard form for the equation of a line is Ax + By = C. Eight can be subtracted from both sides of the equation to get 3x - 4y = -8, which fits the format for standard form. A, B, and C are integers, which includes negative numbers, zero, and whole numbers.
2. 3x - 4y + 8 = 0
3(0) - 4y + 8 = 0
-4y + 8 = 0
-4y = -8
y = 2
Aubrey broke a cell sample into 15 batches, each way 1.3×10 to the -7th grams. How much did the original sample weigh? Use scientific notation to express your answer.
Answer:
Step-by-step explanation:
1.3 * 10 ^-7
is 0.00000013
0.00000013 times 15 is
0.00000195.
0.00000195 in scientific notation is
1.95*10^-6
Need help really please
Answer:
Step-by-step explanation:
No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.
For instance, The top-left question:
4+6 = x+8 (let x be the box)
x= 4+6-8
x=2.
OR, since 4 + 6 =10,
you look for a number when added to 8, that gives 10.
That number is 2.
Hope this helps :]
How long is a movie if it starts at 2:25pm and ends at 16:41 pm
Answer:
It would be a little over 2 hours or so since 16:41 is just 4:41.
2 hours and 16 minutes
Step-by-step explanation:
You're welcome.
Point V is somewhere on the line segment . If UV = 8, then find the length of .
Answer:
it is 3
Step-by-step explanation:
just subtract
How can credit cards be safer than cash? a. It is harder to lose a single credit card than a large number of bills. b. A credit card requires a signature, so it is impossible for anyone other than you to use. c. If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges. d. Cash can be miscounted, but credit cards cannot.
If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges. This way, credit cards can be safer than cash.
What is credit card?
A credit card is a small plastic payment card that is provided by a person's bank and enables the cardholder to pay a merchant for products and services depending on the cardholder's accumulated debt.
To be on the safe side in the event that a merchant breaches an agreement, a cardholder may contact the credit bureau to resolve the disputed charges.
So, this way credit cards can be safer than cash.
Hence, option C is the correct solution.
Learn more about credit cards from the given link
https://brainly.com/question/8432538
#SPJ1
Please help me. I'll give brainliest.
Answer: The final balance is $11,015.84.
The total compound interest is $3,845.84.
f(1) = 25
f(n) = f(n-1)(-1/5)
f(3) = ??
Answer: = 1 (look at the image for the solution)
Step-by-step explanation:
Find the value of C that makes 16x^2 -24x + C a perfect square
The required value of C is 3 which makes 16x² - 24x + C a perfect square.
What is Perfect Square?A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.
The expression is given in the question, as follows:
16x² - 24x + C
(4x)² - 24x + C
As we know that the factoring identity:
(a - b)² = a² - 2ab + b²
After comparing, we have a = 4x and 2ab = 24x
Solving for b:
2(4x)b = 24x
b = 24x/8x
b = 3
So 16x² - 24x + 3 = (4x - 3)²
This means the required value of C is 3 which makes a perfect square.
Learn more about the perfect square here:
brainly.com/question/10170393
#SPJ1
9 Mr Karim had 2740 sacks of rice at first Mr Dani had 3560 sacks of rice at first. Mr Karim gave some sacks of rice to Mr Dani. In the end, Mr Dani had 4 times as many sacks of rice as Mr Karim. How many sacks of rice did Mr Karim have in the end?
Answer:
**DUE TOMORROW, NEED ANSWER ASAP**
NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).
a.) An ultraviolet telescope in space
b.) An optical telescope in a remote location in Michigan's upper peninsula
c.) A radio telescope in the Mojave desert in Arizona
d.) An x-ray telescope in the Andes mountains in Chile
e.) An optical telescope in space
Step-by-step explanation:
Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line.
2x+4<10
The solution set of the inequality is [3, ∝)
How to determine the solution setFrom the question, we have the following parameters that can be used in our computation:
2x + 4 < 10
Subtract 4 from both sides of the inequality
So, we have the following representation
2x + 4 - 4 < 10 - 4
Evaluate the like terms
2x < 6
Divide both sides by 2
x < 3
When represented as an interval notation, we have
[3, ∝)
See attachment for the inequality of the solution set
Hence, the solution is [3, ∝)
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
1. Items a company has purchased and paid for, but has not used are called
A. advanced
B.purchased
C.prepaid
D. long-term liability
items.
Answer:
the ans is advanced
I hope you get your ans
1. For
what value of x is the
3(x + 2)-2x = 12 true?
A. 6
B. 10
C. 12
D. 14
E. 18
1.4.1 Set
the equation
Answer: A. 6
Step-by-step explanation:
Answer: I think D.
Step-by-step explanation: why not pick D…..
Hope this helps^^
Eighteen low-fat wheat crackers have 3 grams of fat. How many grams of fat do 63 of these crackers have?
Answer:
10.5
Step-by-step explanation:
18/3 = 63/x
18 * x = 63
18 * 3.5 = 63
3 * 3.5 = 10.5
Examine the figure below, find the length of b, round to the nearest whole
number.
32°
L
b
M
The length of the side using cosine rule and approximating to a whole number gives 23
How to use Cosine Rule?The law of cosines is used to find the missing parts of an oblique triangle when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.
This is expressed as;
b² = a² + c² - 2ac cos b
Plugging in the relevant values gives;
b² = 28² + 41² - 2(28 * 41) cos 32
b² = 2465 - 1947.118
b² = 517.882
b = √517.882
b = 22.757 ≈ 23
Read more about Cosine Rule at; https://brainly.com/question/4372174
#SPJ1
