Answer:
Step-by-step explanation:
Let the number be x
by given condition,
4x = (x)² - 21
4x = x²- 21
0 = x² - 4x - 21
0 = x² - 7x + 3x - 21
0 = x ( x-7) + 3 ( x - 7)
0 = (x+3)(x-7)
hence
x + 3 =0.....
x = -3---------1
x - 7 = 0
x = 7 ------------2
we got value of x from 1 and 2.. but the question says positive value of x.
hence, x = 7 is the required value of x.
5.012121212
rational or irrational?
Answer:
it is rational
Step-by-step explanation:
if it is not able to be a fraction it is irrational, but it can be turned into a fraction so therefore it is a rational.
Hope this helped
Which expression shows
(36+6) in in the form of
c(a+b), where c is the greatest common factor of 36 and 6
The GCF of 6 and 36 is 6.
36/6 = 6
6/6 = 1
Write the equation with the GCF outside the parentheses and the multiples inside:
Rewrite as 6(6+1)
Answer:
36/6= 6
6/6= 1
Step-by-step explanation:
sorry but i cant explain it but all i know is the answer
whhhhhhhhhhhhhhyyyyyyyyyyyyyyyyyyy
Answer:
[tex]3x^{2}[/tex]
HELP FAST I GIVE BRAINLIEST
The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm.
A = 9 over 2 (b + 35)
Which of the following formulas correctly solves for the other base, b?
b - the other base;
A = 9/2 ( b + 35 ) / * 2 ( we will multiply both sides of the equation by 2 )
2 A = 9 ( b + 35 )
b + 35 = 2 A / 9
b + 35 - 35 = 2 A / 9 - 35
b = (2 A / 9 ) - 35
Answer: B ) b = 2 multiplied by A over 9 - 35
Hope this helps pls give me brainliest
Answer:
B = 2 multiplied by A over 9 - 35
Step-by-step explanation:
ion know
John solved the follow problem incorrectly. What was his mistake? What is the correct answer?
Johns work:
(-1 1/5) divided by 2/3.
(-1 1/5) x 3/2 = -1 3/10.
Your Work, Your Explanation:
Answer:
He didn't turn the proper fraction to an improper fraction.
-1 1/5 = -6/5
-6/5 * 3/2
-18/10
-1 8/10
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Group of answer choices
Add 7 to both sides
Multiply both sides by 3
Divide both sides by 3
Subtract 7 from both sides
The Li family is going hiking. The distance from their car can be found using the function d(t) = 3t + 1, where d is the miles away from their car and t is in hours that they have hiked. If d(t) = 7, what is the value of t and what does it represent?
A. t = 2, the Li family has been hiking for 2 hours
B. t = 22, the Li family has been hiking for 22 hours.
C. t = 2, the Li family is 2 miles away from their car.
D. t = 22, the Li family is 22 miles away from their car.
Answer:
A
Step-by-step explanation:
d(t)=3t+1 but d(t)=7
distance*time=3*time+1
so d(t)=7 is the same as
d(t)=3(2)+1
meaning that you hiked for 2 hours.
Cual es el resultado del siguiente ejercicio de potencia?
2²/2³
Answer:
1/2
Step-by-step explanation:
(Mi español no es muy bien, lo siento.)
1. Exponente es básicamente multiplicación.
2² = 2*2
2³ = 2*2*2
2. Dividir
Answer:
Step-by-step explanation:
2 1/2 / 2^3=
2 1/2 / 2*2*2=
2 1/2 / 8=
2.5 / 8=
0.3125
A taxi charges an initial fee of $1.50 plus $2.00 per miles
Which equation can be used to find the total cost in dollars, y, for trip that is x miles?
3x + 5 - (5x + 8) = -4x - 7
Answer:
Standard form:
2x + 4 = 0
Factorization:
2(x + 2) = 0
Solutions:
x = −4 /2 = −2
Answer:
x = -2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+5−(5x+8)=−4x−7
3x+5+−1(5x+8)=−4x−7(Distribute the Negative Sign)
3x+5+−1(5x)+(−1)(8)=−4x−7
3x+5+−5x+−8=−4x−7
3x+5+−5x+−8=−4x+−7
(3x+−5x)+(5+−8)=−4x−7(Combine Like Terms)
−2x+−3=−4x−7
−2x−3=−4x−7
Step 2: Add 4x to both sides.
−2x−3+4x=−4x−7+4x
2x−3=−7
Step 3: Add 3 to both sides.
2x−3+3=−7+3
2x=−4
Step 4: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-4}{2}[/tex]
x = −2
100x – 200 > 40x - 80
X ?
Lol
Answer:
x>2 here u go kenma :)
Step-by-step explanation:
100x-200>40x-80
60x-200>-80
60x>120
x>2
What is the domain and the range
Answer:
The Domain is X and Range is Y
Step-by-step explanation:
Top values are domain and bottom values are Range
A influencer gains the same number of followers at a constant rate. Every 7 days, the influencer gains 630 followers. How many followers should the influencer gain after 25 days?
90 followers
630 followers
2500 followers
2250 followers
find the value of x (5x+12) (3x+16)
Answer: 15x^2+116x+192
Step-by-step explanation:
(5x+12) (3x+16) multiply each term in the first parentheses by each term in the second parentheses
15Xx 3x+5Xx16+12x3x+12x16
15x^2+166X+192
ANSWER 15x^2+116+192
Answer:
The chosen topic is not meant for use with this type of problem.
Step-by-step explanation:
The best way to try and solve is using the quadratic formula. The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
( 5x + 12 ) x ( 3x + 16 )
Step one : use the distributive factor. To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
5x x 3x
5x x 16
12 x 3x
12 x 16
15x^2 + 80x + 36x + 192
Step two: Combine like terms
15x^2 + 116x + 192
Step three: Solve the equation for x by finding a
, b, and c of the quadratic then applying the quadratic formula.
x = - 12/5 , -16/3
If h represents a number, which equation is a correct translation of "Sixty more than 9 times a
number is 375"?
Answer:
60+9h=375
Step-by-step explanation:
60+9h=375 just use math
The equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given statement is "Sixty more than 9 times a number is 375".
Since the number is h, the statement written in mathematical form is:
9h + 60 = 375
Hence, the equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.
Learn more about algebraic expressions here:
https://brainly.com/question/953809
#SPJ2
Three less than twice a number is 15.
What is the number?
a. = −6
b. = 6
c. = −9
d. = 9
Answer:
3-2x=15
Step-by-step explanation:
add 3 to both sides makes -2x=18. divide -2 from both side gets the answer x=-9, so the answer is C, -9
If you were a truck driver on the highway, for how many more miles would you expect to see camels, wombats, and kangaroos?
Answer:
30 miles
Step-by-step explanation:
PLEASE HELP ME!!!! WILL MARK BRAINLIEST
Answer:
h = 6
Step-by-step explanation:
Answer:
yikes! i hope someone helps you!!!!
PLEASSSSEEEEEE HEEEELPPPPPPPP!!
Answer:
x=7.5
Total area = 27+15 = 42
Step-by-step explanation:
For question 13, we still need to find the bottom side of the T-shape that's not labeled. That's just 9-3.5-3.5=9-7=2.
Now that we know all the side lengths, we can set up an equation where all the side lengths add up to 39, and solve for x:
9+3+3+3.5+3.5+x+x+2=39
24+2x=39
2x=15
x=7.5
For question 14, we can divide the shape into 2 rectangles, which is shown in the picture attaches. Then, we just solve for each rectangle's area separately, and then add them up.
Rectangle A = 9*3=27
Rectangle B = 7.5*2=15
Total area = 27+15 = 42
Solve the formula 6x+5y=13 for y.
Answer:
13/5 - 6x/5
Step-by-step explanation:
Koto’s average velocity along her route was 4.5 m/s. She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west. What was the time of her trip? (There are 60 seconds in 1 minute.) 18.5 minutes 20.4 minutes 2 hours 3 hours
Answer:
18.5 minutes
Step-by-step explanation:
Koto’s average velocity along her route was 4.5 m/s.
She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.
5000 meters west - 5000 meters east = 0
20,000 south - 15000 north = 5000 meters
4.5 meters = 1 second
5000 meters = x seconds
Cross Multiply
4.5 × x = 5000 × 1
x = 5000/4.5
x = 1111.11111111 seconds
There are 60 seconds in 1 minute.
60 seconds = 1 minute
1111.11111111 = y minutes
60 × y = 1111.11111111 × 1
y = 1111.11111111/60
y = 18.5185185185 minutes
Approximately = 18.5 minutes
The time of her trip is 18.5 minutes
Answer:
18.5
Step-by-step explanation:
Find the slope and y intercept of the line. Graph the line.
-3x - 5y = 5
What is the absolute value of –8? Use the number line to help answer the question.
A number line going from negative 8 to positive 8. A point is at negative 8.
–16
–8
8
16
Answer:
The absolute value is 8
Step-by-step explanation:
the absolute value of a number is always going to be positive. if you have a negative number and need the absolute number, you just put the opposit of the number.
Answer:
The absolute value is 8
There are 9 gallons of distilled water in the science supplies.
If 16 students each use an equal amount of the distilled water and there is 1 gal left in the supplies, how
much will each student get?
Each student will get
gal of distilled water.
how much will each student get?
Answer:
Each student will get a half a gallon of distilled water
Step-by-step explanation:
A square has an area of 225 m². What is the length of
the square’s diagonal?
Answer:
the answer to this question is 15
The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = a² square units
A square has an area of 225 m².
Then the edge length of the square is given as,
a² = 225
a = 15 m
Then the length of the diagonal of the square will be given as,
⇒ a√2
⇒ 15 √2 m
The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.
More about the area of the square link is given below.
https://brainly.com/question/1658516
#SPJ2
You purchase disposable plates, cups, and forks for a cookout. Plates are sold in packages of 24, cups in packages of 32, and forks in packages of 48. What are the least numbers of packages you should buy in order to have the same number of plates, cups, and forks?
Answer:
96 packages
Step-by-step explanation:
We solve for this question using Lowest Common Multiple (LCM) method
Step 1
We list multiples of each number until the first common multiple is found. This is referred to as the lowest common multiple.
From the question , we are told:
Plates are sold in packages of 24
Cups in packages of 32
Forks in packages of 48
Multiples of 24:
24, 48, 72, 96, 120, 144
Multiples of 32:
32, 64, 96, 128, 160
Multiples of 48:
48, 96, 144, 192
Therefore,
LCM(24, 32, 48) = 96
Hence, the least numbers of packages you should buy in order to have the same number of plates, cups, and forks is 96 packages
how do you solve 8 = 3r - 1
add 1 to both sides then divide by 3. the answer should be r=3
Answer:
r=3
Step-by-step explanation:
First, you would add 1 to both sides so:8+1=3r-1+1 so that gives you 9=3r.
Then, you divide 3 from both sides. 9/3=3r/3 so that gives you r=3
Determine the slope of the line that contains the point T(6,2) & V(8,5)
Answer:
3/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(8-2)
= 3/2
Susan has a 12 inch board for making a wooden chair. The directions say to use a board that is 29 centimeters long. Is her board long enough the cut?
Answer:
Yes it is.
Step-by-step explanation:
To figure this out, lets first convert inches to centimeters. 1 Inch is equal to 2.54cm. Lets multiply 12 times 2.54. That would be equal to 30.48, which is greater than 29. This means that it is long enough to cut.
Answer:
yes it is
Step-by-step explanation:
because 12 in = 30.48 cm
Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 867 points. The number of two-point field goals that Lindsey made was 66 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 36 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season. How many free throws, 3 pointers, and 2 pointers did she make?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Total point = 867
Let :
number of 3 point goals = p
Number of 2 point goals = 2p - 66
Number of 1 point goals = (2p - 66) - 36 = 2p - 102
Hence,
3p + 2(2p - 66) + 2p - 102 = 867
3p + 4p - 132 + 2p - 102 = 867
3p + 4p + 2p - 234 = 867
9p - 234 = 867
9p = 867 + 234
9p = 1101
p = 122.33
2 pointer = 2p - 66
2(122.33) - 66 = 178.67
1 point = 2p - 102
2(122.33) - 102
= 142.67
Note: you may need to recheck the parameters given, because the expected result should be whole numbers