Answer:
y=65x+30
Step-by-step explanation:
Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept
Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total number of miles run based on how many hours he runs for. What is the total number of miles he ran if he runs for 17 hours?
Answer:
y = 2.5x + 33.4, y = 75.9 miles
Step-by-step explanation:
Equation is y = 2.5x + 33.4
17 = 2.5 x + 33.4
y = 2.5 (17) + 33.4
y = 42.5 + 33.4
y = 75.9 miles
(4-13i)-(3+6i) how do you solve this I’ve been stuck
Answer:
1-19i
Step-by-step explanation:
A sandwich shop has a catering program. There is a flat fee of $30.00 plus $5 per boxed lunch (sandwich, cookie, and bottled water) ordered. If a total order is $150 , how many boxed lunches were ordered?
24?
5?
6?
or 36?
Eric leaves his house on his bike. He rides at a constant speed until he reaches a lemonade stand, where he parks his bike and takes a rest. Then he turns around and bikes home as fast as he can.
Answer: What's even the question? It's not asking anything to solve
Step-by-step explanation:
Angeline wants to buy eggnog at the store. It costs 4.76 for three cartoons. What is the unit rate for one carton?
Answer:
See image
Step-by-step explanation:
Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.
Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)
Cost/numbers of items = Cost/number of items
We know all but one piece of information:
4.76/3 = x/1
Solve for x to find the price of one carton.
Which equation could represent this graph?
f(x)=-2x-2
f(x)=-2x+2
f(x)=2x-2
f(x)=2x+2
Answer:
b. f(x) = -2x +2
Step-by-step explanation:
The graph has a negative slope (m < 0) and a positive y-intercept (b > 0). The only equation with those characteristics is ...
f(x) = -2x +2
_____
Additional comment
The line on the graph appears to fall by 2 grid squares for each 3 to the right. That means it has a slope of ...
m = rise/run = -2/3
None of the offered equations have that slope. We have to assume the graph is "not to scale". Hence we can only comment on the signs of slope and intercept, and not their values.
You may want to discuss this question with your teacher.
K
The solution is k
K/6+5=17
The solution is k=
k=72
Explanation:
72/6=12
12+5=17
Answer:
k = 72
Step-by-step explanation:
This is a 2-step linear equation. It is solved in the usual way.
Step 1: add the opposite of the constant that is on the side with the variable
k/6 +5 -5 = 17 -5
k/6 = 12
Step 2: multiply by the reciprocal of the coefficient of the variable.
(k/6)(6) = (12)(6)
k = 72
the late fee for library books is $2.00 plus 15 cents each day for a book that is late. If Maria's fee for a late book was $3.20,write and solve a linear equation to find many days late the is
Answer:
Maria's book was 8 days late
Step-by-step explanation:
According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:
0.15x+2= 3.20
x= number of days that the book was late
Now, you have to solve for x:
0.15x= 3.20-2
0.15x= 1.20
x= 1.20/0.15
x= 8
The book was 8 days late.
Help me pls asappppp
Answer:
D) 8.5
Step-by-step explanation:
because y to b = 4 and it looks a little longer than that so D
Answer:
8.5
Step-by-step explanation:
well from Y to B its 4 so from Y to A its probably 4.5 cuz its a little longer that Y to B so 4+4.5=8.5
Your math grade is a 68%.You turn in some late work, and now your grade is an 82%.What is the percent change?
Answer:
your grade increased by 14%
The sum of a number times 3 and 16 is at least 16.
ugh i'm sicker than a dog :(
Oh im sorry feel better :( Im here if you need someone to talk to
Answer:
Sorry to hear that. I hope you feel better!
Step-by-step explanation:
PLSSS HELP THIS IS HARD ANYONE
Answer:
b: 8
Step-by-step explanation:
with dilating by 2, the B' figure would be bigger than B
because 4*2 = 8
could someone explain this to me?
================================================
Explanation:
Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.
x = 2i
x^2 = (2i)^2
x^2 = 4i^2
x^2 = -4
x^2+4 = 0
You should find that the root x = -2i leads to x^2+4 = 0 as well.
So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.
We'll multiply those two factors mentioned:
(x-5)(x^2+4)
w(x^2+4) ..... let w = x-5
wx^2 + 4w
x^2(w) + 4(w)
x^2(x-5) + 4(x-5) .... plug in w = x-5
x^3 - 5x^2 + 4x - 20
----------
The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.
So we go from this
x^3 - 5x^2 + 4x - 20
to this
3x^3 - 15x^2 + 12x - 60
after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
Answer:
-48
Step-by-step explanation:
-6=x/8
-6×8=x
x=-48
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
The solution to the equation is: -48
------------Verified Commentry from a K12 Representitive------------
I NEED HELP PLEASE!!!!!!!!!!!!!!!
Answer:
$2580
Step-by-step explanation:
$1500 dollars increased by 9%. In 8 years how much money he will have.
Ok, he has 1500 bucks in there
percents are an amount out of 100 so 9%=9/100
which, 9/100 in decimal form is .09
1500*.09 which is 135
135 dollars every year added
in 8 years, he will have earned 1080 bucks due to interest
1500+1080 which is 2580 dollars
he will have 2580
Answer:
1,616.60
Step-by-step explanation:
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}
t=5 years
P=$1,500
r=1.5%=1.5/100=0.015
n=4
substitute in the formula above
A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+
4
0.015
)
4∗5
A=1,500(1.00375)^{20}A=1,500(1.00375)
20
A=\$1,616.60A=$1,616.60
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
gb-m=9
Answer:
g=10
b=1
m=1
Step-by-step explanation:
You want to determine the use of a graphing calculator on a test. is it Experimental or Observational
experimental I think probably
How much do you need to invest to earn 2000 dollars in interest at a rate of 7% over 15 years?
Answer:
i dont know
Step-by-step explanation:
What value of C will complete the square below and make the expression a perfect
square trinomial?
x? – 16x + c
2
-
[tex] {x}^{2} - 16x + 64 = [/tex]
[tex] ({x - 8})^{2} [/tex]
Thus :
[tex]C = 64[/tex]
A Taxi Service charges $1.00 for the first 1/10 mile then $0.10 for each additional 1/10 mile after that.
Fill in the table with the missing information then determine if this relationship between distance traveled and price of the trip is a proportional relationship.
distance traveled (mi) price(dollars)
9/10
2
3 1/10
10
Thnanks!
9 / 10 = Total Price: 1.90
2 = Total Price: 3.00
3 1 / 10 = Total Price: 4.10
10 = Total Price: 11.00
This is my question pls help!!!
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Show Work:
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]
[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]
[tex]20 {e}^{9} {f}^{11} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
In the figure, one exterior angle is drawn at each vertex of the triangle. Explain how to find the sum of the measures of these three exterior angles.
Explanation:
Here's one way:
At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.
Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.
The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.
The sum of the measures of the exterior angles is 360°.
_____
Additional comment
This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.
Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
Write one way you can read the time. Like 3:55
first is 3:56
And is three fivety six
Enter the value of 14 + (-22) – 14 – 22.
Answer:
-44!
Step-by-step explanation:
I’m going to try and explain this the best way possible through a keyboard:
14+(-22)-14-22
I usually work from left to right with these kinda problems, it helps me stay organized.
The rule for adding integers is when the signs are different you always subtract and take the sign of the LARGER number…
With that being said,
14+-22=-8
Then re write the problem
-8-14-22
Subtracting integers with different sign calls for the KCF method (keep the first number the same, change the sign, flip the second number:
Working one step at a time left to right…
-8+-14 (just add normally and keep the sign)
-22-22
Again using the kcf method,
-22+22=
-44
Hope that helps!
What is 6x + 5x - 6 = 32 + 9x
Answer:
x = 19
Step-by-step explanation:
Step-by-step explanation:
6x + 5x - 6 = 32 + 9x
11x - 6 = 32 + 9x
Bringing like terms on one side
11x - 9x = 32 + 6
2x = 38
x = 38/2 = 19
You might need: 3 Calculator
2
Find the area of the shape.
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
units?
Answer:
90/360 x 3.14 x [tex]2^{2}[/tex]. (put into calculator)
Step-by-step explanation:
This is a sector of a circle we can see that there is a right angle (90 degrees) so we can say there is 90/360 of a circle.
The formula for the area of a circle is pi times radius squared.
We can use this but also need to use 90/360.
We can say the area of the shape is 90/360 x 3.14 x [tex]2^{2}[/tex].
(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form
Answer:
y=-3x^2+2x+201
Step-by-step explanation:
Solve the inequality 1/6(y-1)>3
[tex]\frac{1}{6} .(y-1)>3=>y-1>3.6=18=>y>18+1=19\\[/tex]
[tex]\frac{1}{6(y-1)} >3=>\frac{1}{6(y-1)} -3>0=>\frac{1-18(y-1)}{6(y-1)} >0\\=> \left \{ {{1-18(y-1)>0} \atop {6(y-1)>0}} \right. /or/\left \{ {{1-18(y-1)<0} \atop {6(y-1)<0}} \right. \\=>\left \{ {{19-18y>0} \atop {y-1>0}} \right. /or/\left \{ {{19-18y<0} \atop {y-1<0}} \right.\\ =>\left \{ {{y<19/18 } \atop {y>1}} \right. /or/\left \{ {{y>19/18} \atop {y<1}} \right.=>\frac{19}{18} >y>1[/tex]
P/s: I don't know exactly the question so i answer in 2 ways =))
ok done. Thank to me :>