Answer:
Step-by-step explanation:
y - 7 = 3(x - 4)
y - 7 = 3x - 12
y = 3x - 5
The equation of the line in slope intercept form having slope 3 and passing through the point (4, 7) is y = 3x - 5.
What is Slope?Slope of a line is the rise over the run of the given line. It is usually denoted by m.
In other words, Slope of a line can be calculated by finding the difference of the y coordinates divided by the difference of the x coordinates where x coordinate and y coordinate of two points are given.
Equation of a line in slope intercept form is given by
y = mx + c
where, m is the slope and c is the y- intercept.
Now y-intercept is the y-coordinate of the point where x = 0 or when the line touches the Y axis.
Here, m = 3
We have a point (x, y) = (4, 7)
Substituting these values in the equation,
7 = (3 × 4) + c
7 = 12 + c
c = 7 - 12
c = -5
Substituting m = 3 and c = -5,
y = 3x - 5
Hence, the equation of the line passing through the point (4, 7) and with a slope of 3 is y = 3x - 5.
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What side is congruent to side AC?
if I have 24 coins and 7 pouches how many coins can go in each pouch
Answer:
If you have have 24 coins and 7 pouches, you can put 3.43 coins in each pouch.
Step-by-step explanation:
To solve this you want to divide the 24 coins into 7 pouches.
x = coins
y = pouches
z = how many coins can go in each pouch:
[tex]x/y = z[/tex]
Substitute:
24/7 = z
3.42857142857 = z
round to the nearest hundredth:
3.43 = z
If you have have 24 coins and 7 pouches, you can put 3.43 coins in each pouch.
To figure out how many coins go into each pouch, divide the number of coins by the number of pouches.
Coins per pouch = 24/7 = approx. 3.43
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. Let x = the number of short sleeved shirts and let y = the number of long sleeve shirts.
Write an equation to model the situation.
Graph the equation.
Answer:
10x+12y=300
Step-by-step explanation:
Answer:
300=15x+12
Step-by-step explanation:
Brainlest to whoever can tell me what pi stands for
Hi!
Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Hope this Helps!
Yours Truly,
~~~PicklePoppers~~~Lucy’s ranch has 1,718 acres and Paul’s ranch has 2,484 acres. What is the difference in size between the two ranches
Answer:
766 acres is the difference.
Step-by-step explanation:
2,484 minus 1,718 equals 766 acres.
hope this helped!
:)
Answer:
ranch has a ton of calories
Step-by-step explanation:
Sandy sold 22 tickets, which was at least 6 more than twice the number of tickets that Teresa sold. This can be represented by this inequality, where t represents the number of tickets Teresa sold.
Which could be a number of tickets that Teresa sold?
17
11
7
14
Answer:
7
Step-by-step explanation:
Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)
6 + 2x < 22
x < 8
The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.
The sales tax rate in New Mexico is 8% You buy an Anime coloring book that is $18. What is the final price of the Anime coloring book? Justify how you determined the final price.
Answer: $ 19.44
Step-by-step explanation:
Give : Original price of coloring book = $18
Sales tax = 8% =0.08 [we divide number by 100 to remove %]
Now , the final price of the Anime coloring book = Original price + (Original price) x (Sales tax)
=$ ( 18+18 x 0.08)
= $ (18)(1+0.08)
= $ (18)(1.08)
= $ 19.44
Hence, the final price of the Anime coloring book = $ 19.44
what is the parallel slope of 9x - 5y = 4
Answer:
-9x+5y=-4
Step-by-step explanation:
Answer:
m= 9/5
Step-by-step explanation:
Parallel lines have the same slope.
So if you can find the slope of the given line, you have the slope you want.
Change the line into the form
y=mx + c
The value of m
will be the slope of the line.
9x −4 = 5y ← to make the y term positive
y=9/5x − 4/5
m=9/5
Diane earns $14,500 a year. She pays 11% of her gross income for federal, state, and local taxes. She is taxed at the FICA rate of 7.65%. She has 3.5% of her income withheld for personal deductions. She is paid biweekly. What is her net pay for each pay period? Round to nearest cent.
Answer:
$434.16346
Step-by-step explanation:
Given that :
Gross earning= $14500
Federal, state and local taxes = 11%
0.11 * $14500 = $1595
FICA tax rate = 7.65%
0.0765 * 14500 = $1109.25
Personal deduction :
3.5% * 14500
0.035 * 14500 = $507.50
Total deduction :
$(1595 + 1109.25 + 507.50)
= $3211.75
Net earning : $(14500 - 3211.75) = 11288.25
Since she is paid bi weekly:
Number of biweeks in a year = 52 /2 = 26
Number of payments per annum = 26
Hence,
Net pay per period :
11288.25 / 26
= $434.16346
=
What is the measure of angle 1?
Write the answer without the degree.
Answer: 70
90+20=110
180-110=70
I hope this is good enough:
Answer:
70
Step-by-step explanation:
Everything needs to add up to 180. So you have 90 and 20 you will add them and you’ll get 110. Since you want to find the missing measurement you will subtract 180-110 and you’ll get 70. The missing angle is 70. To check: 90+20+70=180
Can someone help me with this math problem
Answer:
$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound
Step-by-step explanation:
Answer:
Brand A is $14
Brand B is $12.5
Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.
Step-by-step explanation:
For brand A you need to first divide 70 by 5 which equals to 14
Then you divide 105 by 12 which equals 12.5
The Last problem i gave to you in the answer box.
Hopefully you understood everything.
Have a good day
Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Hyattsville Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch? *
Answer:
Answer: Around 1000 students would buy a school lunch.
Step-by-step explanation:
We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.
In total we have 20 + 14 = 34 students, this will be our 100%.
The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.
p1 = (14/34)*100% = 41.18%
And the percentage of students that buy lunch at school can be computed in the same way:
p2= (20/34)*100% = 58.82%
Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.
Then the exact number will be:
N = (58.82%/100%)*1700 = 1000
Around 1000 students would buy a school lunch.
I need help plz someone help me
Answer:
broooooooooooo how do you not know that not trying to be rude but anyways the answer is number 3
Perioddddddd poohhhh
Answer:
cute ima just be bold and say that i like you your really pretty
Need help with this. Please
Answer:
46
Step-by-step explanation:
6 times 2 is 12
23 times 2 is 46
Answer:
B = 46
given the equation, you can multiply 6 by 2 to get 12, so when you multiply 23 by 2 you get 46.
» Which expression shows 35 + 15 written as a product of two factors?
Answer:
[tex]35 + 15 = 5 * 10[/tex]
The factors are 5 and 10
Step-by-step explanation:
Given
[tex]35 + 15[/tex]
Required
Express as a product of two factors
[tex]35 + 15[/tex]
Start by factorizing the expression:
[tex]5(7 + 3)[/tex]
Add the expression in the bracket
[tex]5(10)[/tex]
Replace bracket with *
[tex]5 * 10[/tex]
Hence:
[tex]35 + 15 = 5 * 10[/tex]
The expression which shows 35 + 15 written as a product of two factors is 5(7 + 3).
What is meant by expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Let the expression be 35 + 15
Express as a product of two factors
35 + 15
Factorizing the expression we get
5(7 + 3)
simplifying the above expression, we get
5 (10)
Hence:
35 + 15 = 5 × 10
Therefore, the correct answer is option b) 5(7 + 3).
The complete question is:
Which expression shows 35 + 15 written as a product of two factors?
a) 5(6 + 3)
b) 5(7 + 3)
c) 7(5 + 2)
d) 7(5 + 3)
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Help please please!!!!!
Answer: the two equations are the D so all of the above
Step-by-step explanation:
So I took each equation and then I replaced the x and y with what they gave us (x,y) and I found that it was actually equal to what the equation said so we can say they are solutions of the equations. Have a nice day :)
Which number produces an irrational number when added to 0.4?
O A. 0.444...
B. 9
C. 3pi
D. 2/7
Answer: C) 3pi
pi is irrational, and so is 3pi
The expression 3pi+0.4 is overall irrational as well.
If x is irrational and y is rational, then x+y is irrational
This is why choice C is the answer.
The other answer choices are rational values which would make the sum rational, so that's why we can rule them out.
HELP ME PLEASE!!!!
Star Market is selling containers. They are charging $28 for a set of 16 pieces. What is the price per piece?
Answer:
$1.75
Step-by-step explanation:
Divide 28$ by 16 pieces for 1.75 a piece
I need help with angles!!!!!!!!1
Answer:
3
Step-by-step explanation:
Bacteria doubles every 10 minutes. If you start with 2 bacteria in a petri dish, how many bacteria will there be after 40 minutes?
Answer: I think the answer is 32 bacteria after 40 minutes.
Step-by-step explanation:
I think that's right because the bacteria that have previously multiplied will also be multiplying. 2 becomes 4, 4 becomes 8, etc. until you've reached 40 minutes. (I'm honestly unsure, but I think this is right?) I hope this helped!
Please some answer this I need help!! What is A b g h j d c f e k?
Answer:there is no g .no h
Step-by-step explanation:how can we tell u have a calculator right
Answer:
a = 180° - 64° = 116°b = 64°c = 76°d = 180° - 76° = 104°e = 31°f = 76° - 31° = 45°2g + 10° = 180° - 42° ⇒ 2g = 128° ⇒ g = 64°h - 79° = 42° ⇒ h = 42° + 79° ⇒ h = 121°3j = 90 ⇒ j = 30°k + 23° + 27° = 180° ⇒ k = 180° - 60° ⇒ k = 120°Consider the line 4x+2y=-7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
To find slop from the given equation,
Slope (m) =
[tex] \frac{ - \: cofficients \: of \: x }{cofficient \: of \: y} [/tex]
So, slope of this equation is - 2
For perpendicular case,
M1 . M2 = - 1
Thus, m2 = 2 ( for this equation)
Similarly,
For parallel case,
M1 = m2
Thus, m2 = - 2 ( for this equation)
Keep asking sir/maamFind the equation of the following set of points. Then give the slope of a line
Perpendicular to the found equation.
{(1, 6), (3,-4)}
Peyton spent $15.05 on 7 gallons of gas for her car. Jamal is buying the same gasoline,
but only has $8.60 to spend. How many gallons of gas can Jamal buy. Explain
your reasoning.
15.05 ÷ 7 = $2.15 per gallon
--
2.15 x 4 = $8.60
--
jamal can buy 4 gallons of gas
Select all points that do not lie on this line.
its A and B bro. Hope it helps
Daniel is looking at two different credit card offers. Credit Card A will give him an APR of 22.45%. Credit Card B will offer will be 1.25% each month. Which the better deal?
Answer:
Credit card B is a better deal
Step-by-step explanation:
in order to compare both credit cards, we must either convert the APR into a monthly rate or the monthly rate to APR.
convert credit card A's APR to monthly rate:
= 22.45% / 12 ≈ 1.87%, which is higher than 1.25%, so credit card B is better
OR
convert credit card B's monthly rate to APR:
= 1.25% x 12 = 15%, which is lower than 22.45%, so credit card B is better
Find the slope of the line y=1/6+3/2
Answer:
1/6 if you meant to put an X afterwards. If not, there is no slope.
Step-by-step explanation:
MATH HELP PLEASE DUE SOON!
Answer:
a
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
because all the x is different
Integers that satisfy the inequality -9 < x -3 < 1?
Answer:
see explanation
Step-by-step explanation:
Given
- 9 < x - 3 < 1 ( add 3 to each interval )
- 6 < x < 4
Thus integer values which satisfy the inequality are
x = - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3