the equation of a line with slope2/5 and y-intercept 1 is
Step-by-step explanation:
y=(2/5)x + 1
that is the answer
Answer:
y=2/5x+1
Step-by-step explanation:
y=mx+b
m=2/5
b=1
Hope this helps :)
An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?
I think it's 3 1/6 kilograms
Step-by-step explanation:
3 5/6 + 1 4/5 since it increased
find the LCD (Least Common Denominator)
that would be 30
3 25/30 + 1 24/30
=4 49/30
= 5 19/30
Then we do subtraction since it lost some weight
5 19/30 - 2 7/15
find LCD again
5 19/30 - 2 14/30
=3 5/30
simplify
3 1/6 kilograms. That's what I think.
4 people are going to a dinner party. Each person at the party will eat pound of pasta. If you can only buy whole pounds of pasta, how many pounds should you buy?
Answer:
4 pounds 1 pound for each person
pls help. I am not very smart!
Which equation represents this statement?
3 1/3 is the same as the sum of −1/2 times a number and −3
3 1/3+(−1/2)=−3x
3 1/3=−1/2x+(−3)
3 1/3+(−1/2x)=−3
3 1/3=−1/2+(−3x)
Answer:
3 1/3=−1/2x+(−3)
Step-by-step explanation:
The equation for the given problem can be written as 1/3 = -1/2x + -3. The correct option is (B).
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The statement given in the problem is, " 1/3 is the same as the sum of −1/2 times a number and −3".
Suppose the unknown number be x.
Then, the equation for the given statement can be written as,
1/3 = -1/2x + -3
Hence, the equation that represents the given statement is 1/3 = -1/2x + -3.
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Jane & Jim spent the same amount of money today. If Jim spent
$5.25 on food and rode the train 3 times, and Jane spent $12.45 on
food and rode the roller coaster twice, then how much does a
token cost?
Answer:4$
Step-by-step explanation
The cost of one token is 7.2 dollars.
What is a linear equation in one variable ?A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.
According to the given question Jane & Jim spent the same amount of money today.
Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.
Assuming cost of a token to be T.
∴ 5.25 + 3T = 12.45 + 2T.
3T - 2T = 12.45 - 5.25
T = 7.2.
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-0.15 as a mixed number
Answer:
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]
Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.Use co-factor expansion along any row or column of your choice.This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc
I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :
∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]
An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?
60 + 35h
The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:
Answer: 60h + 35
April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?
Answer:
2%
Step-by-step explanation:
Answer:
I don’t know
Step-by-step explanation:
Bab needs help with complex numbers
Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.
Answer:
[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line, given a point and a slope.
We can use the point-slope formula:
[tex]y-y_1= m(x-x_1)[/tex]
In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:
x₁ = -5 y₁= 5 m= -7Substitute the values into the formula.
[tex]y-5= -7 (x- -5)[/tex]
[tex]y-5= -7(x+5)[/tex]
We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.
First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.
[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]
5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.
[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]
The equation of the line is y= -7x+30.
Find the inverse function of f informally.
Answer:
What is f?
Step-by-step explanation:
A square field has a side length of 6x10 meters. Which of the following is its area in square meters?
Answer:
60 square meters
Step-by-step explanation:
area is just its length times its width and both numbers are provided here
6 * 10 is 60
joey enter a hot dog eating competition. He ate 30 1/2 hot dogs in 3/4 minutes. How many hot dogs did he eat in one min.
8 and 2/15
TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
(-1/2+7/10)-(-3/4x-1/5)
Answer:
( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )
Step-by-step explanation:
how do you do this?? could you kindly include your work pls..
Answer:
B. 0.
Step-by-step explanation:
(x + 2y)dy/dx = 2x - y
dy/dx = (2x -y)/(x + 2y)
Using implicit differentiation and the Quotient Rule:
d^2y/dx^2 = (x + 2y)(2 - y*dy/dx) - ((2x - y)(1 + 2y*dy/dx)) / (x + 2y)^2
At the point (3, 0), dy/dx = (6-0)/(3 + 2(0)) = 2.
So substituting in d^2y/dx^2, we have:
(3 + 0)(2 - 0) - (6-0)(1 + 2(0))/ (3+0)^2
= (6 - 6) / 9
= 0.
Use the Distributive Property to expand 3(6x-4y)-8
Answer:
[tex]18x - 12y -8[/tex]
Step-by-step explanation:
Distribute property means that [tex]a(b+c)=ab+ac[/tex]
Meaning that you will have to multiply 3(6x) and 3(-4y)
3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8
Activity 1: Directions: Convert the following to the indicated unit of measures. 1. 4 gal. = _________quarts 2. 1,400 feet = ______miles 3. 16 hours = _______ min 4. 16 cups = ______pints 5. 1.6 miles = _______ yards
The conversion of the following values to their desired units are as follows:
4 gal = 16 quarts1400 feet = 0.2651516 miles 16 hours = 960 mins16 cups = 8 pints1.6 miles = 2816 yardsThe dimension analysis shows the relation of different physical quantities by converting them from one unit to another.
According to the standard conversion rates:
1 gallon (gal) = 4 quarts1 foot = 0.000189394 mile1 hour = 60 minutes1 cup = 0.5 pints1 mile = 1760 yards∴
1.4 gallons will be:
= (4 gal × 4 quarts)/1 gal
= 16 quarts
2.
1400 feet will be:
= (1400 foot × 0.000189394 miles)/ 1 foot
= 0.2651516 miles
3.16 hours will be:
= (16 hours × 60 mins)/ 1 hour
= 960 mins
4.
16 cups will be:
= (16 cups × 0.5 pints)/1 cup
= 8 pints
5.1.6 miles will be:
= (1.6 miles × 1760 yards)/ 1 mile
= 2816 yards
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Help help help please math please
how many different 12 member teams can be chosen from a pool of 32 people
Answer:
Step-by-step explanation:
32 choose 12
[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840
Answer:
P(12,32) = 32!/20!12!
= 2257928402
Hope it helps you
hello is anyone on here please helpGive possible values for the measures of angles and if is an acute triangle.
Answer:
Step-by-step explanation:
An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.
Solve the Quadratic
Solve for x. Write in simplified radical form.
x^2– 7x – 4 = 0
Solution 1:
Solution 2:
Answer:
[tex]solution 1: \ \frac{7+\sqrt{65}}{2};[/tex]
[tex]solution2: \ \frac{7-\sqrt{65} }{2}.[/tex]
Step-by-step explanation:
x²-7x-4=0;
D=[b²-4ac]=49+16=65.
[tex]\left[\begin{array}{ccc}x=\frac{7+\sqrt{65}}{2} \\x=\frac{7-\sqrt{65}}{2} \end{array}[/tex]
A country in South America exported 62% of the 315,000 bags of coffee beans they produced in a given year. How many bags did they export? Can someone please help me without a link to go to.
Answer:
195,300
Step-by-step explanation:
62 percent *315000 =
(62:100)*315000 =
(62*315000):100 =
19530000:100 = 195300
Now we have: 62 percent of 315000 = 195300
Question: What is 62 percent of 315000?
Percentage solution with steps:
Step 1: Our output value is 315000.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above,315000=100%.
Step 4: Similarly, x=62%.
Step 5: This results in a pair of simple equations:
315000=100%(1).
x=62%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
315000/x = 100/62%
Step 7: Again, the reciprocal of both sides gives
x/315000 = 62/100
x=195300
Therefore, 62% of 315000 is 195300
Whose statement is correct based on the expected value?
Step-by-step explanation:
only Hadley. and even that is not fully correct.
the expected value here gives us the overall most likely outcome of the scenario when throwing 2 balls.
and not ball by ball. and not directly a probability.
like rolling a die : the expected value of rolling a 6 in 6 attempts is 1 due to the individual roll probability of 1/6.
but the probabilty is NOT 1 or 100% (a guaranteed 6 in 6 attempts).
and that brings me to my concern with Hadley's statement. it says with conviction "the player will make ...". no, only "... will likely make ..." or "... on average".
Answer:
Step-by-step explanation:
neither statement is correct. right answer on khan
Which of the following expenses would be considered a “need” instead of a “want”?
Answer:
There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.
Step-by-step explanation:
LM bisects
KL = LN
m
m
m
Answer:
Only one must be true
Step-by-step explanation:
Write x^2+3x-8 in the form of (x+p) ^2+q
Answer:
(x+1.5)^2 -10.25
Step-by-step explanation:
1)first, we half 3 to give us 1.5
(x+1.5)^2
2)square 1.5=2.25
so far we have (x+1.5)^2 - 2.25 --- the negative sign from 2.25 is part of the formula
3)we subtract 8 from -2.25. the 8 comes from here shown in bold ----- x^2+3x-8
4) (x+1.5)^2 -2.25 - 8
5)simplify the last part by doing -2.25 - 8= -10.25
6)answer is (x+1.5)^2 - 10.25
What is the next number in the pattern?
9 4 7
—, —, — . . .
10 5 10
Answer:
3/5
The nth term of an AP = a + d(n -1)
By the looks of it, the next term in the sequence is the 4th term.
a = 9/10
d = 4/5 - 9/10 = -1/10
9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)
9/10 - 3/10 = 6/10
3/5
in which system are the lines parallel ?
Find the slope of the line that passes through:
(-3,-4) and (76)
Answer:
Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4
Step-by-step explanation:
hope this helps, have a nice day/night! :D
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Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y / change in x
Slope = 6 - (-4)/7 - (-3)
Slope = 10/10
Slope = 1
-Chetan K