Let C be the total cost;
[tex]c = 28 \times 30 = 840[/tex]
Let R be the total revenue;
[tex]r = 28 \times 25 = 700[/tex]
Let P be the net profit;
[tex]p = r - c[/tex]
[tex]p = 700 - 840 = - 140[/tex]
There was a 140$ net loss.
Solve for x. Leave your answer in simplest radical form. X 4 3
Apply Pythagorean theorem
P²=H²-B²P²=4²-2²P²=16-4P²=12Now
Again apply Pythagorean theorem
x²=12-3²x²=12-9x²=3x=√3Answer:
the final answer for this problem is √3
Need some help 54 pts
Step-by-step explanation:
as shown in the picture.
you can comment if there is a problem
Use the quadratic formula to solve the equation: y = x2 - 3x - 1
Group of answer choices
x = 5.6 and -1.3
x = 3.3 and -.3
x = -5.4 and -.4
x = 6.3 and 3.2
Answer:
3.3 and -0.3
Step-by-step explanation:
Using the quadratic formula plug in the a, b, and c values in this equation into the formula and you get 3.3 as a result. Not sure where the 0.3 part came from since it is not the opposite equation, but 3.3 is for sure correct. Work is linked below.
Which of the binomials below is a factor of this expression?
49x^2 + 28xy + 4y^2
A. 7x + 4y
B. 7x + 2y
C. 7x - 2y
D. 7x - 4y
Answer:
B. 7x+2y
Step-by-step explanation:
[tex]49x^2+28xy+4y^2\\\\=(7x)^2+2\cdot 7x \cdot 2y + (2y)^2\\\\=(7x+2y)^2\\\\=(7x+2y)(7x+2y)[/tex]
The national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52, where n is the number of years since 1990. What would be the cost in billions of dollars in 2014?
Answer:
c=98.92
Step-by-step explanation:
first I figured out the number of years between 1990 and 2014.I basicly just subtracted 1990 from 2014 then times it by 2.85 the added 30.52
The cost in billions of dollars in 2014 would be 98.92
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52, where n is the number of years since 1990.
Then c=2.85n+30.52
Solving then subtracted 1990 from 2014
2014 - 1990
= 24
Now
c = 2.85 (24) +30.52
c = 68.4 +30.52
c = 98.92
Hence, the cost in billions of dollars in 2014 would be 98.92
Learn more about the unitary method, please visit the link given below;
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The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3
inches from the vertex of the pyramid. If the height of the pyramid is Sinches, what is the area of the rectangular base?
The rectangular base area is the space the rectangular base occupies
The area of the rectangular base is 60 square inches
How to determine the area of the rectangular base?The diagram is not given. So, I will apply provide a general solution.
Using the similar shapes concept, the area of the rectangular base can be represented as:
Ratio = Height : Area
This gives
3 : 36 = 5 : Area
Express as fraction
36/3 = Area/5
Evaluate the quotient
12 = Area/5
Multiply both sides by 5
Area = 60
Hence, the area of the rectangular base is 60 square inches
Read more about areas at:
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A store gives away gift bags during a sale. Of these gift bags, 50% are green, 20% are yellow, and 30% are blue. The average number of items in each green bag is 8. The average number of items in each yellow bag is 5. The average number of items in each blue bag is 8. What is the average number of items in all the gift bags? Enter your answer as a decimal in the box.
A rectangular room is 21 feet wide. It is
three times as long as it is wide. What is
the perimeter of the room?
Answer:
I think the answer is 7
Step-by-step explanation:
7 multipled my 3 equals 21.
7) A rectangle has a perimeter of 12y2 – 2y + 18 and has a width of 4y? – y +6. What is the
length of the rectangle?
Answer:
4
Step-by-step explanation:
(12y2-2y+18)/(4y2-y+6)=3-2+3=4
pls help...
What is the mode for the set of data?
Answer:
9
[tex]\rule{70mm}{2pt}[/tex]
Step-by-step explanation:
In statistics, the mode is the value that is repeatedly occurring or you can say that has higher frequency in a given set of numbers or values. For instance in (1, 2, 5, 6, 2, 3) mode is 2 because it has appeared in the given set twice.
As in the given problem, the cross represents the number of a particular number, indicating whether the given number is repeated or not. And if repeated, how many times?
→ 5, 6, 10 = 1 (number of repetition; each)
→ 7, 8 = 2 (number of repetition; each)
→ 9 = 3 (number of repetition)
Therefore, the mode for the given set of data is 9.
What is a Semicircle?
Answer:
half a circle
What is the slope-intercept equation for this line?
y = [?]x+ [?]
Answer:
y=-x-3
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!!!
2. Which of the following equations is FALSE?
BC=20
AC=20
BD= 10
AD= 10
Answer:
letter c the BD= 10
Step-by-step explanation:
Answer:
BD=10
Step-by-step explanation:
1. BAD=BCD=60
Therefore
BA = BC (sides opposite to equal angles are equal)
BA=20
Therefore BC=20
2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)
60+60+ABC=180
ABC=180-120
ABC=60
ABC=BAC=BCA
Therefore ABC is an equilateral triangle
AC=20
4. AC=AD+DC
AD=DC (BD is a perpendicular bisector)
Therefore
AC=2×AD
AC=20
20=2×AD
AD=20÷2
AD=10
Hope this helps!
What is 12.985 rounded to 2 decimal place?
12.985 rounded to 2 decimal places is 12.99
Answer:
Step-by-step explanation:
Step 1:
Identify the digit in the hundredths place, as it is the 2nd decimal place. The 8 is the digit in the hundredths place.
Step 2:
Look at the digit in the thousandths place and its value is 5 thousandths, so increase the digit in the hundredth's place to 9.
Step 3:
The new number is 12.99 rounded to the 2nd decimal place.
Plsss helppp me find the slope and yint
Answer:
Y-Intercept: (0, -5)
Slope: 1/2
Explanation:
The y-int is when x = 0. The slope formula is (y2 - y1)/(x2 - x1) in which you use 2 points on the line.
A gym has 12 exercise stations, including 4 weightlifting benches.
What is the probability that a randomly selected exercise station will be a weightlifting bench?
probability : 1/3
Explanation:
total people : 12weightlifting benches : 4probability = selected/total
Here,
probability = 4/12 = 1/3 = 0.33E=Weightlifting bench
So
P(E)=4/12P(E)=1/3Solve the following inequalities if it is known that function f is increasing on its domain f(4x-3)≥f(2-x^2), Df=(-8,4)
Solve the following inequalities if it is known that function f is decreasing on its domain f(5-x^2)≥f(3x-5), Df=(-∞,4)
The functions f(4x-3)≥f(2-x^2) and f(5-x^2)≥f(3x-5) are quadratic functions
The values of the inequalities are -5 ≤ x ≤ 1 and -5 ≤ x ≤ 2
How to solve the inequalities?Inequality 1: f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4)
The function increases at (-8,4).
So, we have:
4x - 3 ≥ 2 - x^2
Rewrite as:
x^2 + 4x - 2 - 3 ≥ 0
Evaluate the like terms
x^2 + 4x - 5 ≥ 0
Expand
x^2 + 5x - x - 5 ≥ 0
Factorize the expression
x(x + 5) - 1(x + 5) ≥ 0
Factor out x + 5
(x - 1)(x + 5) ≥ 0
Solve for x
x ≥ 1 or x ≥ -5
Rewrite as:
-5 ≤ x ≤ 1
Inequality 2: f(5 - x^2) ≥ f(3x - 5), Df=(-∞,4)
The function decreases at (-∞,4).
So, we have:
5 - x^2 ≥ 3x - 5
Rewrite as:
x^2 + 3x - 5 - 5 ≤ 0
Evaluate the like terms
x^2 + 3x - 10 ≤ 0
Expand
x^2 + 5x - 2x - 10 ≤ 0
Factorize the expression
x(x + 5) - 2(x + 5) ≤ 0
Factor out x + 5
(x - 2)(x + 5) ≤ 0
Solve for x
x ≤ 2 or x ≤ -5
Rewrite as:
-5 ≤ x ≤ 2
Hence, the values of the inequalities are -5 ≤ x ≤ 1 and -5 ≤ x ≤ 2
Read more about inequalities at:
https://brainly.com/question/11234618
What is the value of x in this figure?
Step-by-step explanation:
Tan = Opposite/ Adjacent
Tan 50 = 100/Adj
Adj = 100/tan50
Similarly, Tan30 = Opposite/ Adjacent
Opposite = 100tan30
therefore X= 100/tan 50 - 100 tan30
The Brooks family is selecting a furniture set. A furniture set has a bed and a dresser. There are 2 beds and 6 dressers to select from. How many different
furniture sets could they select?
What is I C T computer SCHOOL hi zip am SC 9
Step-by-step explanation:
Different means to minus, so minus 2 from 6. Which gives you the answer 4.
What is the distance
between (-6, -2) and (2, 4)?
Answer:
10
Step-by-step explanation:
distance = √(-6-2)^2+(-2-4)^2
Ans=10
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \rule{60mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{Given ↦}} \\ [/tex]
A ( -6 , -2 ) ↦ ( x1 , y1 )B ( 2 , 4 ) ↦ ( x2 , y2 )
[tex] \rule{60mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{By \: DISTANCE \: FORMULA ↦}} \\ \\ \rm{AB =\sqrt{( x2-x1)^{2} +(y2-y1) ^{2} }}[/tex]
[tex] \rule{60mm}{2.2pt}[/tex]
Substituting values ↦
[tex] \bold {AB= \sqrt{( - 6 - 2 )^{2} + ( - 2 - 4) ^{2}} } \\ \\ \bold {AB= \sqrt{( - 8) ^{2} + ( - 6) ^{2} }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= \sqrt{(100)}} \\ \\ \bold {AB= 10 \: units.}[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What are levels of mathematical acquisition in pre-junior
Answer: Number Sense – Understanding Quantity.
Representation – Using Symbols and Words to Represent Numbers.
Shapes and Spatial Relationships (Geometry)
Measurement – Comparing and Communicating about size.
Patterns – Recognizing and Making Patterns.
Problem Solving.
Step-by-step explanation: boom!
solve the equation: 4 x 2 + 8 = - 7
X=
Answer:
Hope the picture will help
[tex]\frac{16}{7}[/tex]Answer:
X = -16/7
Step-by-step explanation:
Multiply the numbers
4 x 2 + 8 = -7x
8 + 8 = -7x
Add the numbers
8 + 8 = -7x
16= -7x
Divide both sides by the same factor
16= -7x
16 divided bu -7x and -7x divided by -7x
Simplify
-16 divided by 7 not negative 7 and -7 divided by -7
Cancel terms that are in both the numerator and denominator
cancel out -7 divided by -7 and you get -16/7 left
so, therefore x= -16/7
Help picture below problem 12
Find the missing side length using the Pythagorean Theorem.
a²+6² = c²
Answer:
18
Step-by-step explanation:
Hello!
In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.
Let a and b be the legs, and c is the hypotenuse.
a² + b² = c²
In this equation, the hypotenuse is 30, and the measure of one leg is 24.
We can solve this by plugging in the values.
a² + b² = c²24² + b² = 30²576 + b² = 900324 = b²b = 18So the missing side length is 18.
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
y=-2x-2
Step-by-step explanation:
I'm guessing that the question is asking for the equation for slope-intercept for y=mx+b
Why? Well, the the slope formula is rise/run. As you can see, if you look the y-coordinate is consistently going down (negative) by two, and the x-coordinate it is going right by 1 every time and makes a triangle shape. You can actually draw it if you want to. And the -2 would be the y-intercept. (Exactly what it means, where the line means the y-axis)
Hope this helps! I explained this kinda weird but hopefully this is somewhat helpful.
Use the open number line to find the difference.
423 – 160 = ____
An open number line is shown. A hop to the left of negative 100 begins at 423. A second hop to the left of negative 50 begins where the first hop ends. A third hop to the left of negative 10 begins where the second hop ends.
A.
363
B.
360
C.
263
D.
260
Which is the best definition for adjacent angles?
Answer:
Adjacent Angles are 2 angles with common sides and a common vertex that don't overlap in any way.
Step-by-step explanation:
Leave a comment if you need any more help. Give Brainiest, please.
Find the missing angles for every point here
In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.
46° + 82° + No. 4 = 180°
No. 4 = 180° - 128° = 52°
Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)
What is angle?In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.
So, we can see that:
Line a || Line b and Line c || Line d
46° = 7 (corresponding angles)
So, 46° + 82° + No. 4 = 180°
Thus, No. 4 = 180° - 128° = 52°
Therefore:
No. 4 = No. 1 = 52° (vertically opposite angles)
No. 2 = 180° - 52° = 128° (angles on a straight line)
No. 2 = No. 3 = 128° (vertically opposite angles)
No. 7 = No. 6 = 46° (vertically opposite angles)
No. 8 = 180° - 46° = 134° (angles on a straight line)
No. 8 = No. 5 = 134° (vertically opposite angles).
82° = No. 11 (vertically opposite angles)
No. 9 = 180° - 82° = 98° (angles on a straight line)
No. 9 = No. 10 = 98° (vertically opposite angles)
No. 9 = No. 15 = 98° (alternate angles)
No. 13 = No. 15 = 98° (vertically opposite angles)
No. 12 = No. 14 = 82° (vertically opposite angles)
46°= No. 17 (vertically opposite angles)
No. 18 = 180° - 46° = 134° (angles at a point)
No. 18 = No. 16 = 134° (vertically opposite angles)
No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)
No. 19 = No. 22 = 52° (vertically opposite angles)
No. 20 = 180° - 52° = 128° (angles on a straight line).
No. 20 = No. 21 = 128° (vertically opposite angles)
No. 25 = No. 2 = 128° (corresponding angles)
No. 25 = No. 24 = 128° (vertically opposite angles)
No. 23 = No. 26° (vertically opposite angles).
So, all the angles are:
1= 52°
2= 128°
3= 128°
4= 52°
5= 134°
6= 46°
7= 46°
8=134°
9= 98°
10= 98°
11= 82°
12= 82°
13= 98°
14= 82°
15= 98°
16= 134°
17= 46°
18= 134°
19= 52°
20= 128°
21= 128°
22= 52°
23= 52°
24= 128°
25= 128°
26= 52°
Learn more about angles on https://brainly.com/question/26167358
Hey ! Can anyone help me solve these problems please. Thank you !
[tex] \qquad\begin{gathered} \begin{array}{ ||c|| c} \hline \\ \textsf { \huge{ \underline{lets\: \: solve}}} \\ \\ \: \: \sf6. \: \underline{ find \: measure \: of \: angle \: TSR}\: \: \\ \\ \textsf {As we know, diameter subtends 90° } \\ \textsf{ at an arc of same circle.} \\ \textsf{ hence we can conclude that :} \\ \\ \rm{ \therefore\angle \:TSR = 90 \degree } \\ \\ \\ \sf7. \: \underline{ find \: measure \: of \: angle \: subtended }\\ \: \underline{ \sf by \: arc \: ST \: at \: the \: centre \: of \: circle}\: \\ \\ \\ \textsf{Angle subtended by an arc at centre} \\ \textsf{ of the circle is double the angle} \\ \textsf{ subtended by the same arc on other } \\ \textsf{ part of circle, hence we can} \\ \textsf{conclude that :} \\ \\ \sf\angle SOT =2 \angle SRT \\ \\ \angle \sf SOT =2 \times 41\degree \\ \\ \sf \therefore\angle SOT = 82 \degree \\ \\ \\ \\ \hline \end{array} \end{gathered}[/tex]
how many millions are there in 1 core?
Answer:
10 million
Step-by-step explanation: