Answers:
slope = -5
y intercept = 18
================================================
Work Shown:
Solve for y
10x+2y = 36
2(5x+y) = 36
5x+y = 36/2 .... dividing both sides by 2
5x+y = 18
y = 18-5x .... subtract 5x from both sides
y = -5x+18
The last equation is in slope intercept form y = mx+b.
We have m = -5 as the slope and b = 18 as the y intercept.
The slope -5 can be written as -5/1 to indicate "go down 5, go over to the right 1".
Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?
Answer:
700 programs
Step-by-step explanation:
Given that :
Fixed cost = $400
Variable cost = $3 per program
Right to sell fee = $1000
Sales price per program = $5
Let number of programs sold = x
In other to break even, expense = revenue
(Fixed cost + variable cost per program + right to sell fee) = sales price per program
(400 + 3x + 1000) = 5x
1400 + 3x = 5x
1400 = 5x - 3x
1400 = 2x
1400 / 2 = x
x = 700
Number of programs to be sold in other to break even = 700
x/6-5=-13 .............................. . . . .
Answer:
-48
Step-by-step explanation:
Answer:
x=-48
Step-by-step explanation:
x/6-5=-13 Get x by itself
+5 +5
x/6=-8 You can multiply 6 times -8 to find x
x=-48
3. The two lines graphed on the coordinate grid each represent an equation.
y
O
(-2, 6)
(3,5)
(-6, 2)
X
O
O
9-8-7-6 -5 -3 2 -1
12
4 5 6
7 8 9
K-6, -6)
CLEAR
Which ordered pair represents a solution to both equations?
Answer:
Step-by-step explanation:
(-4,0)
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Solve and Share
Tyrone partitioned a rectangle into thirds. Sally partitioned a rectangular of the same size
into fourths. How could you partition a rectangle of the same size so that you see both
thirds and fourths?
Answer:
Step-by-step explanation:
The least common multiple of 3 and 4 is 12. Divide the rectangle in twelfths.
⅓ = 4/12
¼ = 3/12
pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain
Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4
Step-by-step explanation:
0.0660%2/33/4hope it's right :)
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
Solve the following inequality:
x/0.25 > 2
Answer:
x>0.5
Step-by-step explanation:
multiply by 0.25 on both sides
x>0.5
Suppose that the people in a certain city are catching cold. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. If, at some particular time, 20% of the people are ill, find the proportion of people who are sick after two weeks
Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
log, 7 1/2
Solve in exponential form
Answer:
7 = x^1/2.
Step-by-step explanation:
logx 7 = 1/2
Converting to exponential form ( the value of the log is the exponent and x is the base):
7 = x^1/2
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
21+15a distributive property equavilent expression
Simplify the expression 3s - 3s 35 - 3s =
Answer:
6s-35
Step-by-step explanation:
not sure
Luis bought 8 2/5 pounds of oranges for his soccer team. The team ate 4 5/8 ponds of oranges. About how many oranges are left
Answer:
3.775
Step-by-step explanation:
Answer:
3.775 OR 151/40 OR 3 31/40
Step-By-Step Explanation:
Subtract 8 2/5 by 4 5/8
Please help with this I really need it
Answer:
Step-by-step explanation:
What is -1/2+-1/5+-5x+3/10+3/2=
Answer:
-5x + 11/10
Step-by-step explanation:
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck
Answer:
The area of the deck is of 146.14 squared units.
Step-by-step explanation:
Regular hexagon:
A regular hexagon has 6 sides, all with the same measure.
Perimeter of a regular hexagon:
The perimeter of a regular hexagon with side x is given by:
[tex]P_h = 6x[/tex]
Area of a regular hexagon:
The area of a regular hexagon with side x is given by:
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]
It has a perimeter of 45 units.
This means that:
[tex]6x = 45[/tex]
[tex]x = \frac{45}{6}[/tex]
[tex]x = 7.5[/tex]
What is the are of the deck
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]
The area of the deck is of 146.14 squared units.
Using the equation shown, which is the best estimate of x?
x2 = 315
a)between 17 and 18
b)between 53 and 54
c)between 78 and 79
d)between 157 and 158
Answer:
a)
Step-by-step explanation:
[tex]\sqrt{315}[/tex] is approximately 17.8
17² = 289
18² = 324
315 is between 289 and 324
The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a widespread number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given square roots,√315
The value of √91 is 17.74823935
The whole number less than 17.74823935 is 17 and greater than 17.74823935 is 18.
Thus, 17 < 17.74823935< 18
Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".
For more about the number system,
brainly.com/question/22046046
#SPJ5
Solve the equation for x. Express the solution as a logarithm in base-e.
it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?
ANSWER QUICK IM TIMED
Raj plotted point L in the coordinate plane below.
On a coordinate plane, point L is 1.5 units to the left and 4 units up.
He says that the plotted point is (4, negative 1.5). What is Raj’s error?
A. The x-coordinate should be -4.
B. The y-coordinate should be 1.5.
C. The x- and y-coordinates are switched.
D. Both coordinates should be positive.
Answer:
The answer is C
Step-by-step explanation:
The answer to your question is C. or The x- and y-coordinates are switched.
I got this right on my quiz!!!
Hope this helps!!!
PLEASE HELP! Will give brainliest! Worth 30 points!
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).