Answer:
f(c) = 5 + 0.75m
Step-by-step explanation:
f(c) = 5 + 0.75(m)
where "c" is cost;
and "m" is distance in miles
Marco needs to buy some cat food. At the nearest store, 5 bags of cat food cost $18.75. How much would Marco spend on 3 bags of cat food?
Answer:
$11.25
Step-by-step explanation:
5 bags = $18.75
To find the amount for three bags, we need to find the price for each bag.
Divide 18.75 by 5.
18.75/5 = 3.75
So each bag is 3.75, and since we need to know the price for 3 bags, we need to multiply 3.75 by 3, which is 11.25.
Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP
Given:
Speed of Timmy = 5 miles per hour
Speed of sam = 4 miles per hour and head start of 2 miles
To find:
Where Timmy and Sam will meet.
Solution:
Let x be the number hours they ran in marathon and y be the total distance covered.
Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is
[tex]y=5x[/tex] ...(i)
Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is
[tex]y=4x+2[/tex] ...(ii)
Now, equate (i) and (ii).
[tex]5x=4x+2[/tex]
[tex]5x-4x=2[/tex]
[tex]x=2[/tex]
The value of x is 2. It means they will meet after 2 hours.
Put x=2 in (i).
[tex]y=5(2)[/tex]
[tex]y=10[/tex]
It means, they will meet at 10 miles.
An item is regularly priced at $60. It is on sale for 40% off the regular price. What is the sale price?
Answer: The sale price is $36.
Step-by-step explanation:
40% ÷ 100 = 0.4
0.4 × $60 = $24
$60 - $24 = $36
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
If there is an off of 40% on an item that cost $60.
The regular price of the item is $48.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
105 = 10/100 = 1/10
Example:
50% of 40 is 20.
50/100 x 40 = 20
25% of 100 is 25.
25/100 x 100 = 25.
We have,
Regular price = $60
Off = 40%
Sale price:
= 60 - (40% of 60)
= 60 - (40/100 x 60)
= 60 - (2/5 x 60)
= 60 - (2 x 12)
= 60 - 24
= $48
Thus.
If there is an off of 40% on an item that cost $60.
The regular price of the item is $48.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
find the quotient 10^12/10^3
plz answer asap
Answer:
B
10^9
Step-by-step explanation:
the sum of three and a number is added to twenty four I need to translate each verbal expression in to a algebraic expression
Answer:
(3+x)+24
Step-by-step explanation:
24+(3+x)
Since addition is communitive, you could take out the parenthesis.
24+3+x
Hope this helps. Have an AWESOME night!!! :)
What is an equation of the line that passes through the point (-2,8) and has a slope 3?
Answer:
y=3x+8
Step-by-step explanation:
what is the akis of symmetry
y=2x^2-8x+1
Answer:
2
Step-by-step explanation:
please help , giving brainliest, ONLY NUMBER 2
Answer:
-10
Step-by-step explanation:
Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE
Answer:
$1.20 per candy bar
Step-by-step explanation:
7.2 ÷ 6 = 1.2
Ronald measured a house and its lot and made a scale drawing. The front patio, which is 14 meters wide in real life, is 7 millimeters wide in the drawing. What scale did Ronald use?
Answer:
2 metre= 1millimetre
Step-by-step explanation:
From the measurement of the house The front patio, is 14 meters wide in real life, is 7 millimeters wide in the drawing
Real life= 14 meters
Drawing= 7 millimeters,
The scale he used is 2 metre= 1millimetre
Which means he magnify the drawing by scale of 2 metre to get the real life structure.
✓Let us clarify it
14 meters = 7 millimeters
2 metre= x millimeter
If we cross multiply
7 millimeters× 2 metre= 14 metre × X millimeters
Make X subject of the formula we have
X= 1millimetres
Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el importe de la compra fueron 2,700 dólares cuantas vacas y bueyes compro
Responder:
Número de bueyes = 12
Número de vacas = 24
Explicación paso a paso:
Dado que :
Número de vacas compradas = 2 veces el número de bueyes;
Sea número de bueyes = y
Número de vacas = 2 años
Costo de la vaca = 70
Costo de bueyes = 85
Costo total = 2700
Por lo tanto;
(2 años * 70) + (y * 85) = 2700
140 años + 85 años = 2700
225 años = 2700
225 años / 225 = 2700/225
y = 12
Número de bueyes = y = 12
Número de vacas = 2y = 2 * 12 = 24
How many positive divisors does the number 24 have?
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
Does anyone know this?
Answer:
B
Step-by-step explanation:
Given
g(x) = 2x² - 6x - 56 ← factor out 2 from each term
= 2(x² - 3x - 28) ← factor the quadratic
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are + 4 and - 7, since
4 × - 7 = - 28 and 4 - 7 = - 3 , thus
x² - 3x - 28 = (x + 4)(x - 7) , then
g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B
Order these numbers from least to greatest.
NEEDS HELP NOW! BRAINLIEST!
Answer:
4.47, 121/25, 4 17/20, 4.859
More details: U could just change them into decimals bc it’s easier that way but people have different ways so it’s ok that’s just my opinion.
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of t representing the charge remaining in series battery as percentage t hours after Sara left her house
Answer:
b=80-8t
Step-by-step explanation:
"b" represents the charge remaining
"t" represents the number of hrs that have passed.
"80" is the reference we will be subtracting the hours from.
"8" is the percentage per hour we will be subtracting
therefore, the equation b=80-8t would solve for the remaining battery after "t" number of hours.
A scale for a scale drawing is 17 cm:1 mm. Which is larger, the actual object or the scale drawing?
9514 1404 393
Answer:
the scale drawing is larger
Step-by-step explanation:
The scale tells you that ...
17 cm on the scale drawing represent 1 mm on the actual object.
17 cm is larger than 1 mm, so the scale drawing is larger.
If m 3 = 74 degrees, find each measure
Answer:
A
Step-by-step explanation:
Answer:
m∠4 = m∠3 = 74° (vertically opposite angles are equal)
m∠8 + m∠3 = 180° (linear pair)
m∠8 + 74° = 180°
m∠8 = 180° - 74°
m∠8 = 106°
m∠7 = m∠8 = 106° (vertically opposite angles are equal)
m∠2 = m∠3 = 74° (alternate interior angles are equal)
m∠1 = m∠2 = 74° (vertically opposite angles are equal)
m∠6 + m∠1 = 180° (linear pair)
m∠6 + 74° = 180°
m∠6 = 180° - 74°
m∠6 = 106°
m∠5 = m∠6 = 106° (vertically opposite angles are equal)
hope it helps you❤
Which statement is true? the sum of 7/8 and 8/7 is zero. the sum of 7/8 and -8/7 is zero. the sum of 7/8 and 7/8 is zero the sum of 7/8 and -7/8 is zero.
Answer:
the sum of 7/8 and -7/8 is zero
Step-by-step explanation:
this is because they cancel each other out
Answer:
Step-by-step explanation:
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has ?
This question is incomplete
Complete Question
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.
How many students does the academy have per teacher?Per tutor?
How many tutors does the academy need if it has 80 students
Answer:
a) 18 students per teacher
b) 10 students per tutor
c) 8 tutors
Step-by-step explanation:
a) How many students does the academy have per teacher?
5 teachers for every 90 students
Hence,
5 teachers = 90 students
1 teacher = x students
Cross Multiply
5 × x = 1 × 90
5x= 90
x = 90/5
x = 18 students
We have 18 students per teacher
b) How many students Per tutor?
3 tutors = 30 students.
1 tutor = x students
3 × x = 30 × 1
x = 30/3
x = 10 students
We have 10 students per tutor
c) How many tutors does the academy need if it has 80 students
3 tutors = 30 students.
30 students = 3 tutors
80 students = x tutors
Cross Multiply
30 × x = 80 × 3
x = 80 × 3/30
x = 8 tutors
The school needs 8 tutors for 80 students.
Miguel bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
2.73
For each pound of walnuts, it costs $2.73.
All you have to do is divide 10.92 by 4.
What is the percent of change from 75 to 12
Answer:
-84%
Step-by-step explanation:
what is the answer so i can pass
Answer:
8/100 is equivalent to 0.08
Step-by-step explanation:
The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.
Hope this helped :)
x/6+12=(-12). solve for x
Answer:
x=-144
Step-by-step explanation:
[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides
[tex]\frac{x}{6}=-24[/tex] multiply by six
x=-144
there are about 100 times more gold atoms in the average human body then uranium atoms about how many uranium atoms are there in the average human body and theres 2 x 10^19 gold atoms in the human body
Answer:
I'm confused
Step-by-step explanation:
what is the question???
Click the picture link below for the problem!
THANKS
Answer:
2
Step-by-step explanation:
The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.
Answer:
The slope is a 2/1 slope.
Step-by-step explanation:
If you look at the slope and pick 2 points, let's say (1,1) and (2,3)
find the difference between the two points by y2-y1/x2-x1
The equation would be 3-1/2-1
The answer to the slope would be 2/1.
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
i need help with this asap please
Answer:
The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.
x + x + 5 + x - 3 + x + 4 = 100
4x + 5 - 3 + 4 = 100
4x + 6 = 100
4x = 94
x = 94/4
x = 23.5 feet
408 = 12x + 16y solve for both x and y?
Answer:
Slope= − 1.500/2.000
= -0.750
x intercept= 102/3
= 34
y−intercept= 102/4
= 51/2
= 25.50000
Step-by-step explanation:
sorry if this is wrong, I tried!