The inequality which represents the situation is; |x - 7| < 20 and the solution is; 27 > x > -13.
What is the inequality that represents the situation?Since the number is less than 20 units away from.the number 7 on the number line, it follows.from interpretation that the inequality is;
|x - 7| < 20
Hence; x-7 < 20; x < 27
Or
-x + 7 < 20
-x < 13
x > -13
Hence, the solution of the inequality is; 27 > x > -13.
Read more on inequalities;
https://brainly.com/question/11613554
#SPJ1
Ragan makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.
Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line goes through points (16, 48) and (24, 72).
Which is the best estimate of the number of beads on a cord that is 16 inches long?
5
8
44
48
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
edge 2023
All the square numbers between 20 and 50
it is 3 numbers all together and they are 25, 36 and 49.
Match the circle equations in general form with their corresponding equations in standard form. x2 y2 − 4x 12y − 20 = 0 (x − 6)2 (y − 4)2 = 56 x2 y2 6x − 8y − 10 = 0 (x − 2)2 (y 6)2 = 60 3x2 3y2 12x 18y − 15 = 0 (x 2)2 (y 3)2 = 18 5x2 5y2 − 10x 20y − 30 = 0 (x 1)2 (y − 6)2 = 46 2x2 2y2 − 24x − 16y − 8 = 0 x2 y2 2x − 12y − 9 = 0
The equation given is matched with the respective vertex forms.
What is the standard Equation for a circle ?The standard equation for a circle is given by
(x-h)² + (y-k)² = r²
The equation given in the question are
x² + y² − 4x + 12y − 20 = 0
(x − 6)² + (y − 4)² = 56
x² + y² + 6x − 8y − 10 = 0
(x − 2)² + (y + 6)² = 60
3x² + 3y² + 12x + 18y − 15 = 0
(x + 2)² + (y + 3)² = 18
5x² + 5y² − 10x + 20y − 30 = 0
(x+3)² + (y-4)² = 35
2x² + 2y² − 24x − 16y − 8 = 0
(x-1)² + (y+2)² = 11
The first equation is
x² + y² − 4x + 12y − 20 = 0
It can be written ad
x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0
(x-2)² +(y+6)²= 60
The second equation is
x² + y² + 6x − 8y − 10 = 0
x² +6x +9-9 +y² -8y +16-16 -10 = 0
(x+3)² + (y-4)² = 35
The third equation is
3x² + 3y² + 12x + 18y − 15 = 0
(x + 2)² + (y + 3)² = 18
The fourth equation is
5x² + 5y² − 10x + 20y − 30 = 0
(x-1)² + (y+2)² = 11
The fifth equation is
2x² + 2y² − 24x − 16y − 8 = 0
(x − 6)² + (y − 4)² = 56
To know more about standard equation of Circle
https://brainly.com/question/13658927
#SPJ1
One forth of one third of two fifths of a number is 15. What is the number?
A fourth of a third of two fifths is a thirtieth.
(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30
A thirtieth of a number () is fifteen, the number is four hundred and fifty.
= 15 / (1 / 30) = 15 x 30 = 450
forty percent of four hundred and fifty is one hundred and eighty.
(450 / 100) x 40 = 180
Answer:
The number is 450
Step-by-step explanation:
One fourth is 1/4,
One third is 1/3
and two fifths is 2/5
let the number be x.
So,
One fourth of one third of two fifths of x is 15.
that is,
1/4 * 1/3 * 2/5 * x = 15
2/4*3*5* x = 15
2/60 * x = 15
1/30 * x = 15
1 * x = 15*30
x = 450
Therefore the number is 450
Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation. from past years, the teacher has determined that 20% of students usually choose to make a brochure, 30% of students usually choose to write a news article, and the remaining students usually choose to design a computer presentation. if the teacher uses 20 colored chips in three different colors to model this situation, how many colored chips should she use to represent each book project option? making a brochure: blue chips writing a news article: yellow ships designing a computer presentation: red chips
Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).
Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.
The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
What is Division?A division is a process of splitting a specific amount into equal parts.
To model this situation using colored chips, we can use the following approach:
Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.
For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.
For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.
For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.
So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
Hence, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ5
On the second journey Ikbal drives at an average speed of 64km/h.
work out
(i) the distance he travels in 90minutes,
in km
Answer:
96Km
Step-by-step explanation:
l wrote 90/60 because the speed is given in hours.
so I had to deal with hours only not hours and minutes.
that's why I wrote 90/60 .
you can also choose to divide.
I mean to change the minutes to hours so that the formula can work.
good day.
Find the value of :
[tex] \sf log_{3 \sqrt{2} }(324) [/tex]
Answer:
4
Step-by-step explanation:
Is that a log with the base of 3√(2) ?
If so....my calculator says the answer is 4
Let's see if we can do it w/ou the calculator:
3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:
x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)
now divide both sides by log (3 sqrt2 )
x = 4 (If I did the math correctly ! )
sin theta / cos theta - cos theta/ sin theta
Answer:
tan theta - cot theta
Step-by-step explanation:
sin/cos = tan
cos/sin = cot
A standard marathon is about 26.2 miles.
How many feet is this equivalent to?
a.)
2400 feet
b.)
420,455 feet
c.)
138,336 feet
d.)
5280 feet
Answer:138,336
Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps
138,336 feet is equivalent to 26.2 miles.
Hence, Option C is correct.
Given that,
Length of standard marathon = 26.2 miles
We have to calculate the length of it into feet
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that
1 miles = 5280
Now to find the length of standard marathon in feet,
Multiply 5280 with 26.2.
Hence the length of marathon in feet,
= 5280 x 26.2
= 138,336 feet.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ6
Question 1 of 20
The volume of a rectangular box is 5x(x+3)(2x - 1).
Height: 2x-1
Length: x + 3
Width: 5x
Which statement is true?
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
B. The volume is the sum of the length, x + 3, the width, 5x, and the
height, 2x - 1.
C. The volume is the product of the length, x + 3, and the width, 5x.
D. The volume does not depend on the height, 2x - 1.
Answer:
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
Step-by-step explanation:
Volume is defined as the product of the Length, Width, and Height,
V = L*W*H
The Length x Width is the Area of the Base
L*W = Area Base)
Therefore:
The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]
[Area of the Base]
[Area of the Base] = (5x)*(x+3) [(or 5x^2 + 15x)]
Volume = [Area of the Base]*H
Volume = [(5x)*(x+3)]*(2x-1)
The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
That looks a lot like the answer in A: "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."
A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?
HELP WILL NAME BRAINLIEST
Answer:
The diver's position in feet (depth) when she swims with dolphins is -83 feet.
Step-by-step explanation:
First highlight the important information from the question.
A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?
So, first she descends -128 feet, then she ascends 45 feet to swim with dolphins. So, now that we have the important information highlighted we can solve the problem.
-128+45=-83.
The diver's position in feet (depth) when she swims with dolphins is -83 feet.
Hope this helps!
If not, I am sorry.
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
(b) 3 terms, degree 10
Step-by-step explanation:
When simplifying polynomials, the first thing you look at is the exponents of the variables in each term. (The terms are separated by + or - signs.) Only terms with the same set of exponents can be combined.
When considering the degree of the polynomial, you look at the sum of exponents of the variables in each term. That sum is the degree of the term. The degree of the polynomial is the highest of the degrees of the terms.
__
exponents and degreeThe four terms have variables s and t. If we write the exponents of those variables as an ordered pair, we will have one ordered pair for each term:
5s⁶t² ⇒ (exponent of s, exponent of t) ⇒ (6, 2); degree = 6+2 = 8
6st⁹ ⇒ (1, 9); degree = 1+9 = 10
-8s⁶t² ⇒ (6, 2); degree 6+2 = 8 (this is a like term to the first term)
-6t⁷ ⇒ (0, 7); degree 0+7 = 7
The degrees are 8, 10, 8, 7, so the highest degree is 10. This is the degree of the polynomial.
__
combining termsWe can only combine the terms containing s⁶t². Doing that gives ...
(5 -8)s⁶t² +6st⁹ -6t⁷ = -3s⁶t² +6st⁹ -6t⁷ . . . . . three terms
In "standard form", the terms are written in order of decreasing degree:
6st⁹ -3s⁶t² -6t⁷ . . . . . . 3 terms, degree 10
Simplify completely.
3 189x5y7
√/7x²y²
3
Answer:
[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]
Explanation:
[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]
applying radical rule[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]
simplify[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]
put cubic root[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]
simplify[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]
PLS HELP
What is the factored form for the quadratic function below?
y = 7x² - 2x - 5
Oy
(7x+5)(x - 1)
Oy
(7x - 5)(x - 1)
Oy (7x + 1)(x + 5)
Oy (7x+5)(x + 1)
Answer: y = (x - 1) (7x + 5)
Step-by-step explanation:
y = 7x² - 2x - 5 Use the slip and slide method.
y = x² - 2x - 35 Factor
y = (x - 7) (x + 5) Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).
y = (x - 1) (7x + 5)
The factorized form of the quadratic equation is y = (7x+5)(x - 1).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:
First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.
Next, we use these two numbers to split the middle term of the quadratic:
y = 7x² - 7x + 5x - 5
Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:
y = 7x(x - 1) + 5(x - 1)
Now, we have a common factor of (x - 1), which we can factor out to get the factored form:
y = (7x + 5)(x - 1)
Therefore, the correct answer is: y = (7x+5)(x - 1).
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ7
multiple answer problem
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]
or
[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
A line with two dots at ends (two ends) represents a line segment.
And it can be represented as :
[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]
or
[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Please help me with my math
Answer:
x = 72
y = 15
Step-by-step explanation:
m and n are parallel lines so we can write the following equation:
108 + x = 180 because these angles are supplementary
if we subtract 108 from both sides
x = 72 we can also write the following equation:
5y - 3 = x because these are alternate angles
5y - 3 = 72 add 3 to both sides
5y = 75 divide both sides by 5
y = 15
Find the range of the given function y = 5x + 2, where x > -2
The range of the function given the domain x > -2 is; Range; y < -8.
What is the range of the function?The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.
Read more on range;
https://brainly.com/question/2264373
#SPJ1
what is the value of sin(80°)cos(20°)-cos(80°)sin(20°)
Answer: sqrt 3 / 2
Step-by-step explanation: cos20°sin80°-cos80°sin20° is about 0.66 and sqrt(3)/2 is about 0.66.
Please mark as brainliest if my answer was correct and/or helpful.
Use the formula A=bxh to find the base of a parallelogram if the area is 228 cm² and the height is 12 cm.
O a
Ob
O
Od
19 cm
1.9 cm
19 cm 2
none of the above
Answer:
a) 19 cm
Step-by-step explanation:
Area of a parallelogram: b • h
Given values:
A = 228 cm²b = ? cmh = 12 cmSubstitute these values into the formula:
⇒ A = b • h
⇒ 228 = b • 12 [multiply]
⇒ 228 = 12b [divide both sides by 12]
⇒ 228 ÷ 12 = 12b ÷ 12
⇒ 19 = b
Therefore, the base of the parallelogram is 19 cm.
if someone ask you to write the tens in 1,567
would you write 67 or 6
if someone asks you to write the tens in
145,677
would you write 77 or 7
if someone asks you to write the hundredths in
146,888
would you write 688 or 8 or 888?? explain pls
Answer:
The tens in 1,567 is 60.
The tens in 145,577 is 70.
The hundreds in 146,888 is 800
Step-by-step explanation:
When looking for tens, you look for the value in the tens column.
For example, in 123, there is a 2 in the tens so it is 20.
2^-4 simplified form
Answer:
1/16 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
Cans of wood varnish come in three sizes.
Small can: A 200 ml can costs £0.88.
Medium can: A 500 ml can costs £1.32.
Large can: A 1 litre can costs £3.60.
Calculate the cost of 1 litre for the small and medium cans.
Give your answer in pounds to 2 dp.
The cost of 1 liter for the small and medium cans is 4.4 and 2.4.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
As,
Small can: A 200 ml can costs £0.88.
Medium can: A 500 ml can costs £1.32.
Large can: A 1 litre can costs £3.60.
Now, 200 ml = 0.2 l
500 ml = 0.5 l
For 0.2 l = 0.88
For 1 l= 0.88/0.2
For 1 liter = 4.4
For 0.5l medium can = 1.32
For 1 l medium can= 1.32/0.5
For 1 l medium can = 2.4
Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.
Learn more about this concept here:
https://brainly.com/question/22469540
#SPJ1
What is the slope of the graph?
Oslope = -1/3
O slope = -3
O slope = 3
O slope = 1/3
What is the ratio of the circumference of a circle to its radius?
Answer:
2 pi : 1
Step-by-step explanation:
for every one unit of radius, there are two pi units in the circumference!
(x^2 + x - 17) + (x − 4) divide using polynomial long division
Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)
Step-by-step explanation: See attachment
need help with this question , pls help
Answer:
A = 80g B = 200g
Step-by-step explanation for A:
First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.
Step-by-step explanation for B:
You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.
A restaurant offers a $12 dinner special that has choices for an appetizer, choices for an entrée, and choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?.
Answer:
4 is my answer:))))) maybe this will help
Answer:
1
Step-by-step explanation:
it depends on how many choices there are
If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert
(1 * 1 * 1 = 1)
then there is 1 meal choice
If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.
(7 * 12 * 6 = 504)
then there are 504 different options
If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert
(5 * 12 * 3 = 180)
then there are 180 options
12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert
(12 * 10 * 6 = 3240)
then there are 3240 meal options
you have to multiply the number of entrées (e), meals (m), and desserts (d)
e * m * d = x
you are solving for x, which is the different meals available aka your answer.
so plug in the numbers and that should give you the answer!
hope this helps:)
a researcher in north america discovers a fossil that contains 40% of its original amount of C-14
Using an exponential function, it is found that the substance is 7,535 years old.
What is the exponential function for the amount of a substance?
The function is given by:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the rate of exponential decay.Carbon-14 has a half life of 5700 years, that is, A(5700) = 0.5A(0), hence we use this to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-5700k}[/tex]
[tex]e^{-5700k} = 0.5[/tex]
[tex]\ln{e^{-5700k}} = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{5700}[/tex]
k = 0.00012160476
Hence:
[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]
It was 40% of the amount when A(t) = 0.4A(0), hence we solve for t.
[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]
[tex]0.4A(0) = A(0)e^{-0.00012160476t}[/tex]
[tex]\ln{e^{-0.00012160476t}} = \ln{0.4}[/tex]
[tex]t = -\frac{\ln{0.4}}{0.00012160476}[/tex]
t = 7535.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son
Answer:
The Father is currently 47 and the Son is 7
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]
We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
Father is 47 and Son is 7
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50
which is an incorrect rounding for 53.864
A.54
B.53.87
C.53.9
D.50
The incorrect rounding for 53.864 is 53.87
How to approximation a decimal?The decimal to be approximated is as follows;
53.864
The first option rounded the decimal to 2 significant figures or a whole number.
The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.
The third option is approximated rightly to one decimal place.
The last option is rounded to the closes tens term.
learn more on approximation here: https://brainly.com/question/9608644
#SPJ1
