Answer:
15Step-by-step explanation:
Let the number be x
The we have below equation to solve for x:
3x - 8 = x + 223x - x = 22 + 82x = 30x = 15There 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:
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
Mason is cutting wood for a carpentry project his boss is completing. He has been given boards which are 72 inches long, but he needs them to be 20 percent of this size. How long should the boards be cut to?
How do you find the slope of a line of two points are given?
Answer:
If you have two point the you have (x1, y1) and (x2,y2).
All you have to do is set these up in the formula y2-y1
x2-x1
Step-by-step explanation:
Which pair of circles have equivalent areas shaded?
Answer:
A
Step-by-step explanation:
They both have 2 areas shaded, have the same amount of parts and are the same size
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
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
Slope = -1; y-intercept = 7
Written in slope intercept form
Answer:
Find the Equation of a Line Given That You Know Its Slope and Y-Intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.
Step-by-step explanation:
9514 1404 393
Answer:
y = -x +7
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b
where m is the slope and b is the y-intercept.
Put the given values in the corresponding places:
y = (-1)x +7
y = -x +7
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
Find the 60th term of the arithmetic sequence -27, -24, -21, ...
which of these go with each other?
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:
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
it costs $24,893.75 to repay a loan of 17,500 at 6.5% annual interest. How many years does it take to repay the loan? I saw somebody asked this question, but the answer wasn't specific.
Answer:
11.5 years
Step-by-step explanation:
The formula for the monthly payment of a loan is:
[tex] A = P\dfrac{r(1 + r)^n}{(1 + r)^n - 1} [/tex]
where
A = monthly payment
r = interest rate per period
n = number of periods
Assuming a monthly payment, we have
P = 17500
r = 0.065/12
The total amount of payments is the monthly payment times the number of payments, so
An = 24893.75
We can try 10 years. n = 10 * 12 = 120
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{120}}{(1 + \frac{0.065}{12})^{120} - 1} = 198.71 [/tex]
An = 198.71 * 120 = 23845.08
The total amount of payments is too low.
Let's try 11 years.
n = 11 * 12 = 132
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{132}}{(1 + \frac{0.065}{12})^{132} - 1} = 185.92 [/tex]
An = 185.92 * 132 = 24540.90
The total amount of payments is still too low.
Let's try 12 years.
n = 12 * 12 = 144
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{144}}{(1 + \frac{0.065}{12})^{144} - 1} = 175.34 [/tex]
An = 185.92 * 144 = 25248.41
The total amount of payments is too high.
11 years is too little, and 12 years is too much.
Let's try 11.5 years.
n = 11.5 * 12 = 138
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{138}}{(1 + \frac{0.065}{12})^{138} - 1} = 180.39 [/tex]
An = 180.39 * 138 = 24893.20
11.5 gives a total of payments of $24,893.20 which is very close to $23.893.75.
Answer: 11.5 years
The total amount of payments is too high.
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 steps can be used in order to determine the solution to Negative 1.3 + 4.6 x = 0.3 + 4 x? Subtract 1.3 from both sides of the equation, add 4x to both sides of the equation, then divide by the coefficient of x. Subtract 1.3 from both sides of the equation, subtract 4.6x from both sides of the equation, then divide both sides by the coefficient of x. Add 1.3 to both sides of the equation, subtract 4.6x from both sides of the equation, then divide both sides by the coefficient of x. Add 1.3 to both sides of the equation, subtract 4x from both sides of the equation, then divide both sides by the coefficient of x.
Answer:
its D
Step-by-step explanation:
got it correct on a test :)
The correct option is Option D: Adding 1.3 to both sides of the equation, subtracting 4x from both sides of the equation, then dividing both sides by the coefficient of x.
What is the linear equation?The linear equation is an equation where the highest degree of the variables used in the equation is 1.
For example 9x+5=23
Given the equation is -1.3 +4.6x= 0.3+ 4x
In order to the linear equation first, try to keep the constant and the variable part to one side by adding or subtracting the constant term.
Then divide the coefficient of the variable (if the coefficient is not equal to 1) on both sides.
Here the given equation is -1.3 +4.6x= 0.3+ 4x
Step-1: Adding 1.3 to both sides of the equation
⇒-1.3 +4.6x +1.3 = 0.3+ 4x +1.3
⇒4.6x = 4x+1.6
Step-2: subtracting 4x from both sides of the equation
⇒4.6x -4x = 4x+1.6-4x
⇒ 0.6x=1.6
Step-3: dividing both sides by the coefficient of x i.e. 0.6.
⇒0.6x/0.6 = 1.6/0.6
⇒x= 2.67
Therefore the correct option is Option D: Adding 1.3 to both sides of the equation, subtracting 4x from both sides of the equation, then dividing both sides by the coefficient of x.
Learn more about linear equation
here: https://brainly.com/question/13728326
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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
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
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A Vitamin C tablet contains 1/40 of a gram of Vitamin C. You take 1 1/2 tablets every day. How many grams of vitamin C do do you take every day?
Answer:
0.0375 gram of Vitamin C
Step-by-step explanation:
Hi there !
1 1/2 tablets = (1*2 + 1)/2 = 3/2 tablets every day
How many grams of vitamin C do do you take every day?
1/40 × 3/2 = 3/80 = 0.0375 gram of Vitamin C
Good luck !
Which student correctly solved their equation below?
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:
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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
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:
HELP!!!!!!
Which of the following is a true statement?
4/5 x 4/5=1
3/10 ÷ 7/9=3/10 x 9/7
9/12 x 12/9= 0
1/2 ÷1/2= 1/4
Answer:
3/10 ÷ 7/9=3/10 x 9/7 is the true one
Step-by-step explanation:
4/5 x 4/5 = 16/25 not 1 so this statement is wrong.
3/10 ÷ 7/9=3/10 x 9/7, this is the true statement and it equals 27/70
9/12 x 12/9= 1 not 0
1/2 ÷1/2= 1 not 1/4
PLEASE HELP ME!!!! WILL MARK BRAINLIEST
Answer:
h = 6
Step-by-step explanation:
Answer:
yikes! i hope someone helps you!!!!
20 POINTS
I NEED HELP WITH THIS PLZZ HELP ME!!
Answer:
I think A
Step-by-step explanation:
Because if you change it from (43 + 60) + 40 to (60 + 40) + 43 = 143
You automatically know it is 143 because 60 + 40 is 100 + 43 = 143
And it wouldn't be D because that is already in a easy way the solve. The others looked to complicated to even attempt so it has to be A.
Did this help!!??
Solve the formula 6x+5y=13 for y.
Answer:
13/5 - 6x/5
Step-by-step explanation:
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
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
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