Answer:
150
Step-by-step explanation:
4, 5 and 6 are all numbers greater than 3.
The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.
The chances of rolling a number greater than 3 is thus 3/6, or 1/2.
This is theoretical probability; you haven't actually observed this happening.
We can now multiply (300 rolls) by this probability 1/2, obtaining 150.
We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.
Planes Q and R are parallel. Lines a and b are shown on planes Q and R, respectively. Which statement is true about lines a and b?
Find the base and height of a rectangle with vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1). The height is units. The base is units.
ANSWER
The height is 6 units.
The base is 2 units.
EXPLANATION
The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).
To find the height of the rectangle, we use the points (-2,7) and (-2,1) or
(-4,7) and (-4,1) because they form the vertical side of the rectangle.
The height is
[tex]|7-1|=6 units[/tex]
To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).
The base is
[tex]|-2--4|=2 units[/tex]
Answer: The base is 2 units and the height is 6 units.
Step-by-step explanation:
You can plot the points (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.
As you can see in the figure, the distance between the points of the base is:
[tex]d=\sqrt{(-2-(-4))^2+(1-1)^2}\\d=2[/tex]
Then the lenght of the base is 2 units
The distance between the points of the height is:
[tex]d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6[/tex]
Then the height is 6 units
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
(-2,-3); maximum
(-2,-3); minimum
(-3,-2); maximum
(-3,-2); minimum
ANSWER
(-2,-3); minimum
EXPLANATION
The vertex is the minimum or maximum point on a parabola.
The graph of the function opens upwards.
Therefore the vertex will be the minimum point on the graph.
From the graph, the minimum point is (-2,-3).
Therefore the vertex is (-2,-3).
The second choice is correct.
Plz help !!!!!!!!!!!!
Answer: [tex]\bold{\dfrac{3\pm \sqrt{65}}{14}}[/tex]
Step-by-step explanation:
[tex]7x^2-3x=2\quad \rightarrow \quad 7x^2-3x-2=0\quad \rightarrow \quad a=7,\ b=-3,\ c=-2\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(7)(-2)}}{2(7)}\\\\\\.\ =\dfrac{3\pm \sqrt{9+56}}{14}\\\\\\.\ =\dfrac{3\pm \sqrt{65}}{14}[/tex]
Yeah, it seems the right answer!
Pls help ASAP!!!!
The temperature in degrees Celsius (C) can be converted to degrees Fahrenheit (F) using the formula F(C)= 9/5 C+k, where k is a constant. Find k, if to C=−40ºC corresponds F=−40ºF.
Answer: 32
Step-by-step explanation:
[tex]F(C)=\dfrac{9}{5}C+k\\\\-40=\dfrac{9}{5}(-40)+k\\\\-40=9(-8)+k\\\\-40=-72+k\\\\.\quad32=k[/tex]
Answer:
k = 32
Step-by-step explanation:
To get the value of k from expression:
[tex]F(C) = \frac{9}{5}C +k[/tex]
for F = -40 and C = -40, then:
[tex]-40 = \frac{9}{5}(-40)+k[/tex]
[tex]k =-40+\frac{9}{5}.40[/tex]
[tex]k = 72 - 40[/tex]
[tex]k = 32[/tex]
therefore, k should be 32 to get these answers.
Plz help me!!!!!!!!!
Answer: [tex]\bold{\dfrac{4\pm \sqrt{6}}{2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{3}{y-2}-2=\dfrac{1}{y-1}\\\\\\\text{Multiply by the LCD (y-2)(y-1) to clear the denominator:}\\\\\dfrac{3}{y-2}(y-2)(y-1)-2(y-2)(y-1)=\dfrac{1}{y-1}(y-2)(y-1)\\\\\\3(y-1)-2(y-2)(y-1)=1(y-2)\\\\3y-3-2(y^2-3y+2)=y-2\\\\3y-3-2y^2+6y-4=y-2\\\\-2y^2+9y-7=y-2\\\\0=2y^2-8y+5\quad \rightarrow \quad a=2,\ b=-8,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(2)(5)}}{2(2)}\\\\\\.\ =\dfrac{8\pm \sqrt{64-40}}{2(2)}[/tex]
[tex].\ =\dfrac{8\pm \sqrt{24}}{2(2)}\\\\\\.\ =\dfrac{8\pm 2\sqrt{6}}{2(2)}\\\\\\.\ =\dfrac{4\pm \sqrt{6}}{2}[/tex]
Find the center of the circle that can be circumscribed about Triangle EFG with E(2, 2), F(2, -2), and G(6,-2).
The center of the circle that can be circumscribed about Triangle EFG with E(2,2), F(2,-2), and G(6,-2) is (2, -2).
Explanation:To find the center of the circle circumscribed about triangle EFG, we can first find the midpoint of EF and the midpoint of FG.
These midpoints will lie on the perpendicular bisectors of EF and FG respectively.
The intersection of these bisectors will give us the center of the circle. Let's calculate it step-by-step:
Step 1: Find the midpoint of EF.
Midpoint of EF = ((2+2)/2, (2-2)/2) = (2, 0).
Step 2: Find the midpoint of FG.
Midpoint of FG = ((2+6)/2, (-2-2)/2) = (4, -2).
Step 3: Find the equation of the perpendicular bisector of EF.
The slope of EF = (0 - 2)/(2 - 2) = undefined. The midpoint of EF is (2, 0).
Hence, the equation of the perpendicular bisector of EF is x = 2.
Step 4: Find the equation of the perpendicular bisector of FG.
The slope of FG = (-2 - (-2))/(6 - 2) = 0. The midpoint of FG is (4, -2).
Hence, the equation of the perpendicular bisector of FG is y = -2.
Step 5: Solve the equations of the perpendicular bisectors to find the center of the circle. Since x = 2 and y = -2, the center of the circle is (2, -2).
Final answer:
To find the center of the circle that can be circumscribed about Triangle EFG, use the midpoint formula and equations of the perpendicular bisectors.
Explanation:
To find the center of the circle that can be circumscribed about Triangle EFG with coordinates E(2, 2), F(2, -2), and G(6,-2), we can use the following steps:
Find the midpoint of each side of the triangle, which will be the center of the circle.
Use the midpoint formula to find the coordinates of the midpoints of EF and FG.
The center of the circle will be the point where the perpendicular bisectors of each side intersect.
Find the equation of the perpendicular bisectors of EF and FG.
Solve the system of equations formed by the equations of the perpendicular bisectors to find the coordinates of the center of the circle.
The center of the circle that can be circumscribed about Triangle EFG is (-2/3, -4/3).
A concession stand sells apple cider for $3.35 a cup and donuts for $2.45 each, on Saturday the stand sold 126 items and made $362.70 how many cups of apple cider did the stand sell
52 cups.
3.35 times 52 equals 174.20
2.45 times 77 equals 188.60
So 52 cups of apple cider were sold in total.
Answer:
The number of cups of apple cider sold was 60 cups
Step-by-step explanation:
We will develop equations to solve this problem.
Let a= price for a cup of apple cider in dollars
Let b= price for a donut in dollars
Let x = number for cups of apple cider sold
Let y= number of donuts sold
Let z = number of items sold on the day = 126 items
Let v = total money made = $362.70
Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.
z = x + y
x = z- y (1)
v = ax + by (2)
we substitute equation 1 in to equation 2
v = a(z-y) +by = az -ay +by = az +y(b-a)
solve for y
y = (v-az)/(b-a) = (362.70 - 3.35×126)/(2.45-3.35) = 66 donuts were sold
therefore x = z-y = 126-66 = 60 cups of apple cider were sold
Find the slope of the line
Answer:
4/5
Step-by-step explanation:
Answer: [tex]m= \frac{4}{5}[/tex] or [tex]m= 0.8[/tex]
(0,0) = (x1,y1)
(5,4) = (x2,y2)
Slope= [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{4-0}{5-0}[/tex]
= [tex]\frac{4}{5}[/tex]
As decimal
= [tex]0.8[/tex]
3 math questions. Answer ASAP! ^
Answer:
1. b ,2.c ,3.b
Step-by-step explanation:
You plan to construct a restaurant on a 20,000 square foot lot, but a local ordinance says that your parking area must be 60% of the lot space. How much space is left to construct your building?
First we need to find 60% of 20,000 sq ft.
so 20,000 x .60 = 12,000 sq ft.
since the parking space needs to be 12,000 sq ft, you'd have 8,000 sq ft. of the 20,000 left to construct the building.
Answer:
[tex]8,000ft^2[/tex]
Step-by-step explanation:
If 60% of the land area is destined to be a parking area, the other 40% of the total 100% remains for the construction.
So what we need is to find how much 40% of the [tex]20,000ft^2[/tex] is:
we divide the total area by 100 and multiply by the percentage (40):[tex]\frac{20,000}{100}*40=200*40=8,000[/tex]
or what is the same
multiply the [tex]20,000ft^2[/tex] by 0.4:[tex]20,000*0.4=8,000[/tex]
The space left to construct the building is [tex]8,000ft^2[/tex]
Identify if each of triangles below is congruent or not. Remember that the diagram may not be drawn to scale. Justify your conclusion.
Answer: ¨A¨ is congruent due to SSS. ¨B¨ is not because corresponding sides are not congruent. ¨D¨ is congruent due to AA. Can´t see all of ¨C¨
Step-by-step explanation:
help me please with an explanation please!!!
well there’s 360 degrees in one circle so it’s just 270/360 which is 1/4 . you’re welcome and brainliest would be nice ty
Answer:
¾
Step-by-step explanation:
Your diagram shows that moving the hand 270° covered three of the divisions of the circle.
A circle consists of four equal parts, and you covered three of them.
Thus, 270° is ¾ of a complete turn.
Explain how you use a net to find the surface area of a prism.
Answer:
lay the net out with numbers then add all of them
Step-by-step explanation:
Answer:
Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.
Step-by-step explanation:
I just got it correct on my online class.
(2x+3y)+(4x+9y) how do I simplify it
Answer: the answer is 6x + 12y
Step-by-step explanation:
6x+12y will be the answer for this!
PLEASE HELP QUICKLY
Which is the graph of y =
√x-5-1 ?
graph A
graph B
graph C
graph D
Answer:
Step-by-step explanation:
Answer:
The answer is graph D.
Your welcome:))))
Plz i need helpPlzzzzz I need help
Answer:
51%
Step-by-step explanation:
Add up the tallies, as follows: 17+24+9+19. Then divide the "cycling" tally (24) by this sum ( 69), obtaining the "observed probability that the customer will want to cycle"): p = 24/69 = 34.7%.
HELP
Every day, Jason runs for 31 minutes and lifts weights for 43 minutes. How many minutes will Jason spend working out in 8 days?
A.
96
B.
592
C.
248
D.
82
Answer:
Every day, Jason runs for 31 minutes and lifts weights for 43 minutes. How many minutes will Jason spend working out in 8 days?
A. 96
B. 592
C. 248
D. 82
Step-by-step explanation:
(31+43) x 8 =
74 x 8 = 592
Answer: The answer would be B!
Step-by-step explanation:
31 minutes for jogging + 43 minutes for weight lifting = 74 minutes in total !
73 minutes a day x 8 days = 592 minutes
Hope this helped ! :)
Check my answers please thank you
16-20 are correct. Remember to mark the first #20 as A
The last #20 is wrong. The answer is B. 95 minutes.
10:55 - 11:00 = 5 minutes
11:00 - 12:00 = 60 minutes
12:00 - 12:30 = 30 minutes
Total = 95 minutes
Lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese. He learned an average of 130 words per month when he lived in Portugal, and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words write a system of equations to represent this situation. Use x to represent Portugal, and y to represent Brazil.
The equation is [tex]\[ 130x + 150y = 1920 \end{cases} \][/tex]
Let's represent the number of months Lance lived in Portugal as x and the number of months he lived in Brazil as y.
Since Lance lived in Portugal for x months and learned 130 words per month, the total number of words he learned in Portugal is 130x.
Similarly, since Lance lived in Brazil for y months and learned 150 words per month, the total number of words he learned in Brazil is 150y.
We're given that the total number of words Lance learned is 1920. So, the system of equations representing this situation is:
[tex]\[ \begin{cases} 130x + 150y = 1920 \\x + y = 14 \end{cases} \][/tex]
The first equation represents the total number of words Lance learned, and the second equation represents the total number of months he spent in both countries combined.
Match the following.
1 .
absolute value
the distance from zero on the number line
2 .
inequality
the number of units between two numbers or points, regardless of direction
3 .
opposite numbers
two numbers that are the same distance from zero on the number line but in opposite directions
4 .
distance
sentence showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠
Answer:
Distance - The number of units between two numbers or points, regardless of direction.
Inequality - Sentence showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠
Opposite numbers - Two numbers that are the same distance from zero on the number line but in opposite directions.
Absolute Value - The distance from zero on the number line.
The question matches mathematics concepts like absolute value, inequality, opposite numbers, and distance.
Explanation:Absolute value: the distance from zero on the number line.Inequality: a sentence showing a relationship between numbers that are not necessarily equal; uses symbols like >, <, ≥, ≤, or ≠.Opposite numbers: two numbers that are the same distance from zero on the number line but in opposite directions.Distance: the number of units between two numbers or points, regardless of direction.Learn more about Mathematics here:https://brainly.com/question/26854035
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Maxwell wants to buy a gallon of juice, if one gallon jug cost $4.85 in a pint cost $0.65 how much money would Maxwell save by buying the one gallon jug instead of multiple pints
?
Answer:
0.35 cents
Step-by-step explanation:
8 pints in 1 gallon. 8 x .65/pint = 5.20.
5.20 (8-pints) - 4.85 (gallon jug) = .35
I will give 15 points
Part A:
Mowing lawns: 1= $12 2= $24 3=$36 4= $48 5= $60
Walking dogs: 1= $9 2= $18 3= $27 4= $36 5= $45
I hope this helps you.
Part A:
-Chart one-
1-12
2-24
3-36
4-48
5-60
-Chart two-
1-9
2-18
3-27
4-36
5-45
Part B:
Plot these with circles (1,12), (2,24), (3,36), (4,48), (5,60)
Plot these with squares (1,9), (2,18), (3,27), (4,36), (5,45)
Add 9 to me. Then multiply by 3. If you subtract 16 the add 7, you get 27. What number am I?
Answer:
Step-by-step explanation:
3 because :
3+9=12
12×3=36
36-16=20
20+7=27
A new photocopier works 4 times as fast as an old one. When the machines work together, a university can produce all its staff manuals in 28 hours. Find the time it would take each machine, working online, to complete the job.
The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.
In one hour they can make 1/28 of the manuals.
1/(28*5)=1/140 is the rate.
The new photocopier can make all the manuals in 4/140 or 35 hours.
The old one can make them in 140 hours.
In a geometry class,the girl to boy ratio is 10 to 2.if there are a total of 24 students,how many girls are there?
Answer:
20 girls.
Step-by-step explanation:
The girl to boy ratio is 10 to 2.
Insert the multiplier m and write an equation for the total number of students:
10 m + 2 m = 24, or
12 m = 24. Then m = 2.
The number of girls is 10(m) = 10 m = 10(2) = 20.
The number of boys is 2(m) = 4
Note that 20 (girls) + 4 (boys) = 24 (students), as specified.
Note that 20/4 = 10/2, which is the given ratio.
Answer:
20 girls
Step-by-step explanation:
if there are 10 girls to 2 boys when you doble it you get 20 girls to 4 boys but when you add 20 and 4 together you get 24 students
17,076 ÷ 29
Plz help me solve this is so urgent wiil give brainliest
i think it is 588 but I am not 100percent sure
Answer:
588.827
Step-by-step explanation:
Choose the graph which represents the solution to the inequality:
3x + 8 ≥ 11
Answer:
A
Step-by-step explanation:
A is correct. Subtract 8 from both sides and then divide both sides by 3.
The inequality 3x + 8 ≥ 11 is represented by a line having a close circle at
x = 1 and going towards infinity.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, an inequality of line which is 3x + 8 ≥ 11.
3x ≥ 11 - 8.
3x ≥ 3.
x ≥ 3/3.
x ≥ 1.
This will be represented on a line with a close circle at x = 1 and the line will go towards infinity.
learn more about inequality here :
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The "to prove" part of the information is the _____ of the "if-then" statement. if then none of the above
Answer:
The correct answer option is 'then'.
Step-by-step explanation:
The "to prove" part of the information is the 'then' of the "if-then" statement.
For example, we have this problem:
[tex] y = 2 x - 1 [/tex]
If [tex] x = 3 [/tex], then find the value of y.
Here in this problem, we are asked that 'if' the value of x is true then prove it by substituting in the value.
Answer:
The answer is Then.
Step-by-step explanation:
The "to prove" part of the information is the THEN of the "if-then" statement.
If is the question like, it is not validated. You are asking something if it holds true.
For example: If it rains heavily, then water bodies fill up.
So, here you are proving that water bodies fill if rains are heavy.
Another example: If a = 3 and b = 6 then a+b = 9
We can see that 3+6=9
Then it is proved that a + b = 9
After factoring the expression is written as a what?
Answer:
Factoring is written as the product of simpler expressions/factors.
Step-by-step explanation:
Factoring (called "Factorising" in the UK) is the process of finding the factors.
Factoring is the method of finding what to multiply together to get an expression.
It is like "splitting" an expression into a multiplication of simpler expressions.
Example: factor [tex]2y+6[/tex]
Both [tex]2y[/tex] and 6 have a common factor of 2:
[tex]2y[/tex] is 2 × y
6 is 2 × 3
So we can factor the whole expression into:
[tex]2y+6 = 2(y+3)[/tex]
So [tex]2y+6[/tex] has been "factored into" 2 and y+3.