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
(Topic: Vectors) - Prove that ADE is a straight line
Answer:
Because the angle is a 180 degree angle.
Step-by-step explanation:
Answer:
If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.
Step-by-step explanation:
hope this helps
pls brainliest
write an equation in slope intercept form for the line that passes through the given point and is perpendicular to the graph of the equation
(4,2), y=1/2x+1
Answer:
y = -2x + 10
Step-by-step explanation:
Perpendicular slopes are negative reciprocals of each other.
So the given equation is y = 1/2x + 1 , the slope is 1/2. Therefore the perpendicular slope is -2.
Use slope-intercept form y = mx +b, substitute the slope = -2 and point (4, 2) into the slope-intercept form. After that solve for b
y = mx + b
2 = -2(4) + b
2 = -8 + b
10 = b
The answer is y = -2x + 10
The sum of a number times 3 and 16 is at least 16.
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]
Solve the system with elimination:
5x - y =1
10x + 3y = 7
Answer:
X = 2/5
y = 1
Is this what your looking for?
Step-by-step explanation:
Solve.
−4.8x=−4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
x =
-4.8x=-4
The simplified fraction is 5/6
How I solved it:
-4.8 = -24/5 in fraction form.
-24/5 × 5/6 = -120/30
-120/30= -4
Answer:
-4
Step-by-step explanation:
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.
What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0
Answer:
x = (−2 ± √−12)/2
Step-by-step explanation:
Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):
If the only force acting on the player is gravity what is F in F=ma?
Answer:
F is the force due to gravity
Step-by-step explanation:
F is the force resulting from gravity acting on the player whose mass is m. 'a' is the acceleration due to gravity, about 9.8 meters/second².
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
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
please help !!!!!!!!!!!plss
Answer:
4
Step-by-step explanation:
replace x with its value to get
8-2y+3y=12 then combine like terms
8+y=12 subtract 8 from both sides
y=4
Answer:
the answer is numbe 1 which is 0
Step by step explaination:
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].
Which system of equations has no soulutions
The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3
Answer:
87
Step-by-step explanation:
difference = 7
A1 = 3
so let's imagine this arithmetic sequence as
3, 10, 17, 24 etc....
mathematically the sequence can be described as
An = a1 + (n - 1) d
A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87
Regina went out for breakfast. The bill came to $7.20. If Regina has a discount coupon for 20%, how much will be taken off the bill?
Answer:
Step-by-step explanation:
the answer is 5.76$ , 20% is -1.44$
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:
Solve 12 + 5= 7.
A. x = -2 and x = 12
B. x = -2 and x = -12
C. X = 2 and x = -2
O D. x = 2 and x = = -12
Answer:
if you mean 12-5=12 this answer is x=144
here is the step by step explanation.
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/12-5-(7)=0
Step by step solution :
STEP
1
:
x
Simplify ——
12
Equation at the end of step
1
:
x
(—— - 5) - 7 = 0
12
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
5 5 • 12
5 = — = ——————
1 12
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (5 • 12) x - 60
———————————— = ——————
12 12
Equation at the end of step
2
:
(x - 60)
———————— - 7 = 0
12
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 12 as the denominator :
7 7 • 12
7 = — = ——————
1 12
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(x-60) - (7 • 12) x - 144
————————————————— = ———————
12 12
Equation at the end of step
3
:
x - 144
——————— = 0
12
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-144
————— • 12 = 0 • 12
12
Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-144 = 0
Solving a Single Variable Equation :
4.2 Solve : x-144 = 0
Add 144 to both sides of the equation :
x = 144
One solution was found :
x = 144
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:
6. Is it possible to use the distributive
property to rewrite 85 + 99 as a product
of a whole number greater than 1 and a
sum of two whole numbers? Explain your
answer.
Answer:
No because they don't have any common factors.
Step-by-step explanation:
85 = 5 x 17
99 = 3 x 3 x 11
They don't have any common factors
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.
Solve for x. *
40
15
50
10
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
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!
You want to determine the use of a graphing calculator on a test. is it Experimental or Observational
experimental I think probably
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%
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
Help! 100 points to correct!
Answer:
B is correct
Step-by-step explanation:
adding the amount taken away and then subtracting it is the same as subtracting twice
Answer:
either b or c
Step-by-step explanation:
(-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:
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------------