Answer:
y = 1/3 x + 8.
or in standard form:
x - 3y = -24.
Step-by-step explanation:
To answer this we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Here we have m = 1/3 and (x1, y1) = (-3, 7), so:
y - 7 = 1/3(x - (-3))
y - 7 = 1/3( x + 3)
y - 7 = 1/3 x + 1
y = 1/3 x + 8 .
This is the slope-intercept form of the equation.
Converting to standard form, we first multiply by 3:-
3y = x + 24
- x + 3y = 24
x - 3y = -24.
Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?
A) 21 years old
B) 22 years old
C) 24 years old
D) 27 years old
Answer:
24 yrs old. I hope this is helpful.
HELP QUICK which function has the greater rate of change
Answer:
Function A i think.....
Step-by-step explanation:
y-2x=6 make y the subject of formula
Answer:
below...
Step-by-step explanation:
y=2x-6
Hello.
In order to make a variable the subject of a formula, we need to isolate it (get it by itself)
In this case, we need to add 2 to both sides.
[tex]\mathrm{y-2x+2x=6+2x}[/tex]
[tex]\mathrm{y=6+2x}[/tex]
And we're done!
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Mr. Majors ordered six hot dogs and a bucket of popcorn at the concession stand. If the popcorn
was $3.20, and the total was $18.20, what was the price of one hot dog?
Answer:
The cost of one hot dog is $2.50
Step-by-step explanation:
You need to subtract $3.20 from $18.20 to get $15.00. Then you need to divide $15.00 by 6 to get $2.50.
How many perfect cubes are there between 2 to 200 ?
ANSWER fast
Answer:
Three
Step-by-step explanation:
The perfect cubes between 2 to 200 are
[tex] {3}^{3} = 27 \\ \\ {4}^{3} = 64 \\ \\ {5}^{3} = 125 \\ [/tex]
Hence, there are only three perfect cubes 27, 64 and 125 between 2 to 200.
Please help! Thank u so much
Answer:
x= 11/3
Step-by-step explanation:
6x-8=3+3x
6x-8+8=3+3x+8
6x=3x+11
6x-3x=3x+11-3x
3x=11
3x/3=11/3
x=11/3
A 100 pound person on earth would weigh about 38 pounds on mars and 17 pounds on the moon. What would a 150 pound person on earth
The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs $(x,y)$ of positive integers is the harmonic mean of $x$ and $y$ equal to $20$
Answer:
9 ordered pairs
Step-by-step explanation:
The requirement that the harmonic mean of two positive integers be 20 places a restriction on what those integers may be.
20 = 2/(1/x +1/y)
y = 10x/(x -10)
Integer values of x that produce integer values of y are ...
x ∈ {11, 12, 14, 15, 20, 30, 35, 60, 110}
The corresponding 9 ordered pairs are ...
(11, 110), (12, 60), (14, 35), (15, 30), (20, 20), (30, 15), (35, 14), (60, 12), (110, 11)
What is the solution of the proportion 2/3 = x/14 ? Round to the nearest tenth if necessary.
A. 21
B. 2
C. 7
D. 9.3
Answer:
D. 9.3
Step-by-step explanation:
Answer:
D ( 9.3)
Step-by-step explanation:
2/3 = x/14 -->
14 *2/3 = x -->
28/3 = x -->
9.33.... = x-->
9.3 = x
can someone explain this to me
Answer:
the question is mistyped.. they are trying to ask for the area.. not are.. :P soooo ... to answer the question that is trying to be asked.. and not the one that is being asked.. b/c there isn't really an answer to what is the are.... :/
Step-by-step explanation:
area of a triangle is 1/2 area of the box that the triangle makes 1/2 hmm , hence the fomula.. 1/2*base*height.... b/c base*height is the area for a box... soooo ...
for this triangle it's 1/2* 3 * 4= 6 :)
note: even thou this is not a right triangle.. we still know the height of it.. the graph is showing us that. so our formula still works... for this one if we didn't know height.. we might have to use sin() or cos() to figure out height.. but here it's given. luckily :)
The line y = 0.5x + 8 passes through (-10, a) and (-20, b). Find the values of a and b.
Answer:
Step-by-step explanation:
Write out the equation y = 0.5x + 8. Now focus on the point (-10, a). In the given equation, let y = a and x = -10: a = 0.5(-10) + 8, so that a = 3.
Next, focus on the point (-20, b). Find b: In y = -0.5x + 8, replace x with -20 and y with b: b = 0.5(-20) + 8, or b = -10 + 8, or b = -2
ANSWER QUICK PLEASE!!!!
Answer:
A
Step-by-step explanation:
A would be the answer because The distance you shoot from has no effect on shooting accurcy.
a transporter has one lorry and five pickups. the lorry can carry 100 bags of maize while each pickup can carry 20 bags. the transporter has to transport maize to a school. the lorry makes 5trips. two of the pickups make 7 trips each while the rest make 8 trips each. find the number of bags of maize that was transported to the school if each vehicle was full every trip made
Answer:
1100 bags, above is the solution to the question
Which of the following is an example of when you would pay sales tax? A) Paid when you buy video games B) Comes out of your paycheck C) Paid when you own a home
HELP PLSSS 50+ POINTSS ASAP
Answer:A
You would pay sales tax when you buy a video games so A
(not sure but pretty sure)
Step-by-step explanation:
Hi im gonna use all my points on this
Answer:
10 bracelets
Step-by-step explanation:
5 feet of yarn is 60 inches of yarn, if each bracelet takes 6 inches of yarn to make, you have to divide 60 by 6 which is 10 bracelets
A company produces circular drink coasters. The equation x2 y2 = 18. 0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece? 4. 25 in2 8. 5 in2 18. 0625 in2 72. 25 in2.
The minimum possible area of the square cardboard will be given as
[tex]a= 72.2\ in ^2[/tex]
What will be the area of the dashboard?The area of the square is the product of its two lengths.
We have an equation of the circular drink coaster
[tex]x^2+y^2=18.0625[/tex]
Comparing the above equation from the general form of the circle
[tex]x^2+y^2=r^2[/tex]
We can see that from the equation
[tex]r^2=18.0625[/tex]
[tex]r=4.25\ inch[/tex]
Diameter [tex]d=4.25\times 2=8.50[/tex]
The diameter will be the length of the square since the circle is cut from the square.
So the area of the square will be
[tex]a=d\times d=8.50\times 8.50=72.25\ inch^2[/tex]
Thus the minimum possible area of the square cardboard will be given as [tex]a= 72.2\ in ^2[/tex]
To know more about Area follow
https://brainly.com/question/25292087
plz help pllzz 35 points
Answer:
$18 an HOUR
Step-by-step explanation:
Noah earned $232.70 working for 13 hours.
We are trying to find each hour,
We can make this into a FRACTION.
232.70/13 = 1/x
Multiply across,
13x=232.70
232.70/13=17.9
We can round this to $18 :D
A rectangle has a length of (2x + 3) cm and a width of (x + 5) cm.
(a) Find an expression for the perimeter of the rectangle.
Answer:
P = 6x + 16
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width ) , then
P = 2(2x + 3) + 2(x + 5) ← distribute both parenthesis
= 4x + 6 + 2x + 10 ← collect like terms
= 6x + 16
this is the answer i do hope u understood it
Carlos was given the problem "Evaluate the expression 2x^2 + 5 when x=3." Carlos wrote the answer 41. Was he correct? Explain.
This is the second half of the other paper I showed:)!
Step-by-step explanation:
for all of it you should do sum of angles in a triangle
pls help this is my last question help!!!!
Which of the following number lines and solution sets show the values of r that make the inequality -2r+3<9 true
Answer:
"Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.
Step-by-step explanation:
Example 1:
Consider the inequality
displaymath173
The basic strategy for inequalities and equations is the same: isolate x on one side, and put the "other stuff" on the other side. Following this strategy, let's move +5 to the right side. We accomplish this by subtracting 5 on both sides (Rule 1) to obtain
displaymath174
after simplification we obtain
displaymath175
Once we divide by +2 on both sides (Rule 3a), we have succeeded in isolating x on the left:
displaymath176
or simplified,
displaymath177
All real numbers less than 1 solve the inequality. We say that the "set of solutions'' of the inequality consists of all real numbers less than 1. In interval notation, the set of solutions is the interval tex2html_wrap_inline187 .
Example 2:
Find all solutions of the inequality
displaymath189
Let's start by moving the ``5'' to the right side by subtracting 5 on both sides (Rule 1):
displaymath190
or simplified,
displaymath191
How do we get rid of the ``-'' sign in front of x? Just multiply by (-1) on both sides (Rule 3b), changing " tex2html_wrap_inline201 " to " tex2html_wrap_inline203 " along the way:
displaymath192
or simplified
displaymath193
All real numbers greater than or equal to -1 satisfy the inequality. The set of solutions of the inequality is the interval tex2html_wrap_inline205 .
Example 3:
Solve the inequality
displaymath207
Let us simplify first:
displaymath208
There is more than one route to proceed; let's take this one: subtract 2x on both sides (Rule 1).
displaymath209
and simplify:
displaymath210
Next, subtract 9 on both sides (Rule 1):
displaymath211
simplify to obtain
displaymath212
Then, divide by 4 (Rule 3a):
displaymath213
and simplify again:
displaymath214
It looks nicer, if we switch sides (Rule 2).
displaymath215
In interval notation, the set of solutions looks like this: tex2html_wrap_inline227 .
What is cos 45º?
O A.
1
2
O B. 7 /
O C. 13
1
O D.
E. 1
0
OF A
F. 3
Answer:
The exact value of cos(45°) is √(2) / 2.
Step-by-step explanation:
Answer:
Answer:√2/2=cos45
√2/2×√2/√2=2/2√2
1/√2
Factor completely x2 - 8x + 16.
(x + 4)(x + 4)
(X - 4)(x - 4)
(X + 4)(x - 4)
(x-2)(x-8).
help
Answer:
(x-4)(x-4) is the correct answer!! i got it right
Step-by-step explanation:
An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
42° and 48°
Step-by-step explanation:
Complementary angles add up to 90°.
So we have one angle x and the other angle x+6 which when added together will equal 90°.
x + x + 6 = 90
2x + 6 = 90
-6 - 6
2x = 84
Divide both sides by 2
2x/2 = 84/2
x = 42
So one angle = 42°, and the other angle = 42° + 6° = 48°.
Compare 6 x 10^8 to 3 x 10^6
A) 6 x 10^8 is 2,000 times larger then 3 x 10^6
B)6 x 10^8 is 200 times larger then 3 x 10^6
C)6 x 10^8 is 20 times larger then 3 x 10^6
D)6 x 10^8 is 2 times larger then 3 x 10^6
Answer:
i think B
Step-by-step explanation:
it just seems like the most reliable and best choice
How would you do this type of problem?
Answer:
You make a table rounding up the times a card was drawn, then find the median. To find the median, find the middle number or the one that appears the most.
giving brainlist for correct answer. :))
Answer:
162 cubes
Step-by-step explanation:
The formula for finding the volume of a rectangular prism is length x width x height.
6 x 3 x 4.5 = 81
Since each cube is only half a centimeter, we need to multiply this by two.
81 x 2 = 162 cubes
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Answer:
Commutative property of multiplication
Step-by-step explanation:
hi can someone help me with my question, which is 2 ( 3 + x) - 7 = x + 5?
Answer: x=6
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*(3+x)-7-(x+5)=0
(2 • (x + 3) - 7) - (x + 5) = 0
x - 6 = 0
Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
Answer:
x = 6
Step-by-step explanation:
2(3+x)-7=x+5
We move all terms to the left:
2(3+x)-7-(x+5)=0
We add all the numbers together, and all the variables
2(x+3)-(x+5)-7=0
We multiply parentheses
2x-(x+5)+6-7=0
We get rid of parentheses
2x-x-5+6-7=0
We add all the numbers together, and all the variables
x-6=0
We move all terms containing x to the left, all other terms to the right
x=6