Answer:
Step-by-step explanation:
Let's set up an equation in standard form.
x + 0.5y = 150
0.5y = -x + 150
y = -2x + 300
The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.
Given that 3m=2c-5k,express c in terms of k and m.
Answer:
The answer is
[tex]c = \frac{3m + 5k}{2} [/tex]
Step-by-step explanation:
You have to move all the unrelated terms to the other side :
[tex]3m = 2c - 5k[/tex]
[tex]3m + 5k = 2c[/tex]
[tex]2c = 3m + 5k[/tex]
Next you have to divide it by 2 :
[tex]c = \frac{3m + 5k}{2} [/tex]
please tomorrow exam - John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?
Answer:
Peter is 20 years old
Step-by-step explanation:
John= 2(Peter's age) (j=2p)
Peter= (Alice's age + 5) (P= A+5)
Okay, so let's substitute the equations now:
John= 2(Alice + 5)
So the equation for 5 years from now is:
2(A+5) + 5 = 3a (because he is 3 times as old as alice)
so, let's solve for that equation:
2a + 10 + 5 = 3a
subtract 2a from both sides:
15= a
so, Alice is going to be 15 years old, so now we can solve for Peter's age:
P= A + 5
P= 15 + 5
P = 20
Peter is 20 years old
I hope this helps! :)
Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent. What is true regarding two adjacent arcs created by two intersecting diameters? They always have equal measures. The difference of their measures is 90°. The sum of their measures is 180°. Their measures cannot be equal.
Answer: the sum of their measures is 180 degrees
Step-by-step explanation:
I just got it right
The angles R T S and Q T P are vertically opposite angles. So that they always have equal measures.
Circle :In given circle, T is center of circle .
and RP and SQ are diameter of circle which are intersecting at center T.
The diagram of circle is attached below.
In the diagram of circle, Angles R T S and Q T P are congruent.
So that, [tex]\angle RTS=\angle QTP\\\\[/tex]
Since, both diameter are crossing each other.
So that, Angles R T S and Q T P are vertically opposite angles.
Therefore, they always have equal measures.
Learn more about the diameter of circle here:
https://brainly.com/question/1649593
Which description best describes coplanar figures? A. They are contained in the same plane. B. They are not contained in the same plane. C. They lie in a straight line. D. They take up the same amount of space
The description that best describes coplanar figures is that they are contained in the same plane.
What are Coplanar figure?This is referred to as the points or lines that are known to be or lie on the same kind of plane.
Note that if for example, points P , Q , and S lie in the same plane C, then they are coplanar and thus The description that best describes coplanar figures is that they are contained in the same plane.
Learn more about coplanar figure from
https://brainly.com/question/9047265
what is the equation of the line? please help !!!! first and correct answer will get brainesttt
Answer:
y=1/2x-4
Step-by-step explanation
they paid $13 for each pepperoni pizza and $11for each plain pizza the club bought total of 18 pizzas for the party and paint a total of $212 Drag and drop the numbers to the boxes to create an equation which models this situation if x=the number of pepperoni pizza and y=the numbers of plain pizza boght
Complete question;
A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a
total of 18 pizzas for the party and paid a total of $212.
Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.
Answer:
13x + 11y = 212
Step-by-step explanation:
They bought 2 different recipe of pizza. The first is the pepperoni pizza and the second kind is the plain pizza. The pepperoni pizza cost $13 each while the plain Pizza cost $11 each. The total number of pizza bought is 18 in number.
The total cost of the pizza is also $212.
number of pizza bought = 18
total cost of pizza = $212
x = the number of pepperoni pizzas
y = the number of plain pizzas
The number of pepperoni pizzas multiply by the cost for each will give the cost of the pepperoni pizzas. This same method is applied to get the cost of the plain pizzas.
Therefore, adding the individual cost of the kinds of pizza will give the total cost of the pizzas.
13x + 11y = 212
Find the value of 5!
O A. 120
O B. 20
O C. 15
O D. 25
Answer:
A: 120
Step-by-step explanation:
5! means 5 factorial
the factorial of a number is the number times every whole number until 1
in this case,
5 * 4 * 3 * 2 * 1
5 * 4 = 20 , 3 * 2 * 1 = 6
20 * 6 = 120 (option A)
If this helps. please consider giving me brainliest.
Answer:
a 120
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!!
Answer:
[tex]b= \frac{-4}{7} a - \frac{52}{7}[/tex]
Step-by-step explanation:
1st, isolate b.
7b=-4a-52
Next, divide both sides by 7.
b=(-4a/7)-(52/7)
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
Multiply 5 to both sides to get
(x+3)^2 = 100
Step-by-step explanation:
Please refer to the picture above.
Simplify the equation by aiming to eliminate the fraction in the right hand side of the equation by multiplying the denominator to both sides of the equation in step 2
Answer:
[tex](x + 3)^{2}[/tex] = 100
Step-by-step explanation:
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.
slope = 1/2, y intercept = 3
==============================================================
Work Shown:
Pick any two points you want on the line.
I'll pick the two points (0,3) which is the y intercept and also the point (2,4).
------
Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 3)/(2 - 0)
m = 1/2 is the slope
slope = rise/run = 1/2
rise/run = 1/2 means rise = 1 and run = 2.
This means we go up 1 unit each time we move to the right 2 units.
-----
Since the slope is m = 1/2 and the y intercept is b = 3, we can say
y = mx+b
y = (1/2)x+3
this is the same as y = 0.5x+3 since 1/2 = 0.5
how to write 70 persent as fraction
Answer:
70/100 or 7/10
Step-by-step explanation:
As a percentage 70 percent is 70%.
As a fraction because 70 is out of 100 it would obviously be 70/100 but you can simplify to 7/10 and it is still equal to 70%
Please help me with my math question!!
Answer: A
Step-by-step explanation:
Using sohcahtoa you can figure out that the missing side length is 5.98 :)
1)In an year the value of a motorcycle depreciates by 10% of its value at the beginning of that year.What is its value after two years if the purchased price was $7200?
2)When John Short increases the spend at which he motors from an average of 40mph to 50mph,the number of miles travelled per gallon decreases by 25%.If he travels 36 miles on each gallon when his average speed is 30 mph how many miles per gallon can he execpt at an average speed of 50mph?
Answer:1. $5760
Step-by-step explanation:
Answer:
the answer is 1,200 thats what i got
Step-by-step explanation:
PLEASE HELP RIGHT NOW I WILL MARK AS BRAINIEST!!!!!!!!!!!!!!!!
Select three (3) TRUE statements ABOUT quadrilaterals.
a.) A quadrilateral is a polygon with 4 sides and 4 angles.
b.) The sum of the angle measurements in a quadrilateral are 180 degrees.
c.) A rectangle is a parallelogram with 4 right angles.
d.) A square is a rectangle with all 4 equal sides.
e.) A quadrilateral is not a polygon.
f.) All the angles measures in a quadrilateral have to be right angles.
Answer:
A, B and E
Step-by-step explanation:
screenshot below-mathematics ,help please!!
Answer:
(a) range = difference between highest
mark and lowest mark
range of marks = 10 - 6
= 4
(b) total students = marks × frequency
(6×5)+(7×4)+(8×7)+(9×10)+(10×4)
= 30+28+56+90+40
= 244 students
(c) total frequency = 5+4+7+10+4
= 30
mean mark = total students/total
frequency
= 244/30
= 8.133
Answer:range-4 , no. of students-30, mean mark is 26
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Harry buys a boat in 2010. He plans on selling it in 2020. In 2010, the boat costs $20,000. The value of the boat depreciates over time
as is shown in the graph below, where the y-axis represents the value of the boat, in dollars, and the x-axis represents the number of
years since 2010.
Answer:
The initial value of the boat was $20,000
The percent decrease per year of the value of the boat is 10%.
The interval on which the value of the boat is decreasing while Harry has it is (0,10)
Step-by-step explanation:
It is given that the boat costs $20,000 in 2010 when x = 0. So, the initial value of the boat was $20,000.
Next, find the percent decrease per year of the value of the boat. Consider the general form of an exponential equation, y = a(b)x, where a is the initial value of the boat, b is the base of the exponent, x is the number of years after 2010, and y is the value of the boat, in dollars.
Consider the point (1 , 18,000) which lies on the graph of this situation. Substitute x = 1, y = 18,000, and a = 20,000 into the exponential equation and isolate b.
Recall that for exponential decay, b = 1 - r where r represents the decay rate. Substitute b = 0.9 into this equation and solve for r.
So, the decay rate is 0.1, and the percent decrease per year of the value of the boat is 10%.
Harry bought the boat in 2010, and plans on selling it after 10 years in 2020. Therefore, the interval on which the value of the boat is decreasing while Harry has it is [0, 10].
The final velocity, V, of an object under constant acceleration can be found using the formula v2=v2+2as, where v is the initial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). What is the formula solved for a?
Answer: a = (V^2 - v^2)/2s
Step-by-step explanation:
The equation for the final velocity is:
V^2 = v^2 + 2*a*s
where V is the final velocity, v is the initial velocity, a is the acceleration and s is the distance.
Now, we want to solve this formula for a, this would mean isolate a in one side of the equation, this is pretty simple, first we pass subtract v^2 in both sides.
V^2 - v^2 = v^2 + 2*a*s - v^2
V^2 - v^2 = 2*a*s
now we can divide by 2*s in both sides:
(V^2 - v^2)/2s = 2*a*s/2s = a
a = (V^2 - v^2)/2s
What is the solution of the equation 6x - 3 = -51?
OA.
-9
OB.
-8
O c.
00
OD.
9
Answer:
x = -8
Step-by-step explanation:
6x - 3 = -51
Add 3 to each side
6x - 3+3 = -51+3
6x = -48
Divide each side by 6
6x/6 = -48/6
x = -8
Answer:
x = -8
Step-by-step explanation:
[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]
Solve each equation and check your solution:
A) -2w=26
B)3n-3=17
C)15 - w = 45
D) 5c- 7c= 32
E) 6+ 6h = 2h -5
F) 2.5x - 4 + 1.2x = 3.5
Answer:
A. w = 26/2 = -13
B. 3n = 20
n = 20/3
C. -w = 30
w = -30
D. -2c = 32
c = -16
E. 4h = -11
h = -11/4
F. 3.7x = 7.5
x = 75/37
Answer:
x = 75/37
Step-by-step explanation:
What would the base be to the solution to
4^8*4^2?
Answer:
It can would be 4
Step-by-step explanation:
When you multiply exponents you add the exponents
so you get 4^10
May You Please Help Me With This Problem
Answer:
x² + x - 8
Step-by-step explanation:
(f . g)(x) is same with (f(g(x))
so insert the g(x) equation into f(x) and change the x on it
f(g(x)) = g(x) - 2
f(g(x)) = (x² + x - 6) - 2 = x² + x - 6 - 2 = x² + x -8
so
(f.g)(x) is x² + x - 8
Divide $1200 in the ratio 5:3:2
Answer:
Step-by-step explanation:
16
somebody come help me I'm stuck in this problem how do I simplify it using exponent rule
Answer:
-5x^4y^3
Step-by-step explanation:
so you divide -25 by 5 and the rule is if it is division for exponents then you subtract the exponent so 6-2=4, 7-4=3, 3-3=0. z^0 is 1 so we don't have to write it out.
Can someone please help me with the slope?
Answer:
1/2
Step-by-step explanation:
For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!
A company is evaluating a new reading program that is supposed to improve test scores. The box plots show the results of reading tests given before and after using the program. With this data, what is the most reasonable answer to the question: Does the program improve test scores 20 pts
Answer:
Yes, because the median test score increased 5 points.
Step-by-step explanation:
Answer:
Yes, because the median test score increased 5 points
good luck and have a great day
g(x)=x^3+6x^2+12x+8 determine
Answer:
g(-1) = 1
Step-by-step explanation:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
g(-1) = 1
In a box-and-whisker plot, the interquartile
range is a measure of the spread of the
middle half of the data. Find the interquartile
range for the data set: 10, 3, 7, 6, 9, 12, 13.
Answer:
IQR=8
Step-by-step explanation:
write numbers in ascending order
3 6 9 10 12 13
find the middle, in this case, it's two numbers (10 and 12)
3 6 are on the left, find the middle between them; 3+6/2
4.5
12 and 13 are on the right, find the middle between them;
12+13/2
12.5
IQR=12.5-4.5
Veronica wants to check her work after evaluating -108 divided by (-6). What steps can she follow to verify her answer? A. Divide her answer by –6 and see if the result is –108. B. Divide her answer by –108 and see if the result is –6. C. Multiply her answer by –6 and see if the result is –108. D. Multiply her answer by –108 and see if the result is –6.
Answer:
C. Multiply her answer by –6 and see if the result is –108.
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
hope this helps c:
Which equation models a line that is perpendicular to y = x - 1 and goes through the point (5,4)
Answer:
y = - x + 9
Step-by-step explanation:
Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.
So the equation that is perpendicular will look like this so far:
y = -x + b (b represents our y-intercept that we have not found yet)
Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.
So, 4 = -(5) +b or 4 = -5 + b
Add 5 to both sides to isolate b on the right side. b = 9
Therefore, the y-intercept is 9.
Now we have found everything we need for the equation, which is
y = - x + 9
A right circular solid cone of base radius 42cm and height 84cm has the same volume as a solid cylinder of height 112cm find the radius of the cylinder
Answer:
21 cm
Step-by-step explanation:
Volume of cone is given by [tex]1/3(\pi r^2h)[/tex]
volume of cylinder is given by [tex]\pi r^2h[/tex]
where r is the radius of base and h is the height
_________________________________
For cone
radius = 42cm
height = 84
volume = [tex]1/3(\pi *42^2*84)[/tex] (1)
________________________________
For cone
radius = to find let it be r
height =112
volume = [tex]\pi *r^2*112[/tex] (2)
_______________________________________
since , volume of both solid are same
thus, equation 1 = equation 2
[tex]1/3(\pi *42^2*84) = \pi *r^2*112\\=> r^2 = 1/3((\pi *42^2*84) / 112*\pi \\=> r^2 = 1/3(42*42*84/112) = 441\\=> r = \sqrt{441} \\=> r = 21[/tex]
Thus, radius of cylinder is 21 cm