Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given that:
10 number of blocks which have numbers from 1 through 10.
To find:
Probability of randomly choosing a block that has an even number.
Solution:
The given set of numbers is: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
There are a total of 5 Even numbers are {2, 4, 6, 8, 10}.
And There are a total of 5 Odd number are {1, 3, 5, 7, 9}.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, Event E is randomly choosing an even number.
Number of favorable cases = 5
Total number of cases = 10
Therefore, the required probability is:
[tex]P(E) = \dfrac{5}{10}\\\Rightarrow P(E) = \dfrac{1}{2}[/tex]
An Auditorium has 29 rows, with 115 chairs in each rows. How many chairs does the auditorium have in all? Show your work
Answer:
3335 chairs
Step-by-step explanation:
To find the total number of chairs, multiply 29 by 115, since there are 29 rows that have 115 chairs:
29(115)
= 3335
So, the auditorium has 3335 chairs in all
Answer: 3335 Chairs
Work: So, the question already gave us how many seats are there per row, now we need to find out how many are there in 29 rows. You multiply 115 by 29 to find out how many seats are there, and you get 3335 chairs. I hope this helps you, and stay safe. :)
marsha deposited $9,500 into a savings account 3 years ago. The simple interest rate is 5%. How much money did marsha earn in interest?
Answer:
$ 10, 925
Step-by-step explanation:
Interest = P( 1 + rt)
9500 { 1 + ( 0.05 x 3 ) }
= 9500 x 1.15
= $ 10,925
It can be equal to the set and it can contain all the elements that are present in the set
Answer: yes
Step-by-step explanation:
Kristy asks Lonnie to think of a number , Add 3 to it, multiply the sum by 2, and then subtract 6. Let n stand for lonnie's starting number. Which expression represents Lonnie's final number?
Answer:
2(n+3) - 6 = 2n
Step-by-step explanation:
Let n stand for lonnie's starting number.
Kristy asks to add 3 to the number. It will become (n+3)
Now he ask to multiply the sum by 2. It will become 2(n+3).
Finally, he ask to subtract 6. It will become 2(n+3) - 6
The expression is : 2(n+3) - 6.
We can simplify it as follows :
= 2n+6-6
= 2n
Hence, the required expression is 2n.
Answer:
no
Step-by-step explanation:
yyyy
The graph shows the cost of some taxi journeys.
Work out a formula for C in terms of n.
The formula for C in terms of n is C=3/5n+3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given graph take two points (0,3) and (5,6)
Slope m=6-3/5-0=3/5
Now let us find y intercept
3=3/5(0)+b
b=3
So formula for C in terms of n is C=3/5n+3
Hence, the formula for C in terms of n is C=3/5n+3
To learn more on slope of line click:
https://brainly.com/question/14511992
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Which ratio is not equivalent to 15:18?
A. 60:72
B. 35:42
C. 90:105
D.25:30
Answer:
The ratio 90: 105 is not equivalent to 15: 18 ⇒ C
Step-by-step explanation:
Let us simplify the given ratio to its simplest form first
∵ The ratio is 15: 18
∵ 15 and 18 have a common factor 3
→ Divide each term of the ratio by 3
∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6
∴ The simplest form of ratio 15: 18 is 5: 6
Let us find which choice will not give us the same ratio 5: 6
∵ 60: 72 have a common factor 12
→ Divide each term of the ratio by 12
∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6
∴ The simplest form of ratio 60: 72 is 5: 6
∴ The ratio 60: 72 is equivalent to 15: 18
∵ 35: 42 have a common factor 7
→ Divide each term of the ratio by 7
∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6
∴ The simplest form of ratio 35: 42 is 5: 6
∴ The ratio 35: 42 is equivalent to 15: 18
∵ 90: 105 have a common factor 15
→ Divide each term of the ratio by 15
∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7
∴ The simplest form of ratio 90: 105 is 6: 7
∴ The ratio 90: 105 is not equivalent to 15: 18
1.873, 1.9, 1.78, 1.84, 1.779, 1.742
LESSER GREATER
ASAP PLEASE
Answer:
Lesser to greater
Step-by-step explanation:
1.742
1.779
1.78
1.84
1.873
1.9
3x + 4y = 7, 8x + 5y = 12. The value of x and y is
13, 20
20, 13
13/17, 20/17
20/17, 13/17
Answer:
13/17, 20/17
Step-by-step explanation:
3x + 4y = 7 --- Equation 1
Equation 1×5:
15x + 20y = 35 --- Equation 2
------------------------------------------------------------------------------------------------------------
8x + 5y = 12 --- Equation 3
Equation 3×4:
32x + 20y = 48 --- Equation 4
------------------------------------------------------------------------------------------------------------
Equations 4-2:
32x + 20y - 15x - 20y = 48 - 35
17x = 13
x = [tex]\frac{13}{17}[/tex]
Substitute x = [tex]\frac{13}{17}[/tex] into Equation 1:
3x + 4y = 7
3([tex]\frac{13}{17}[/tex]) + 4y = 7
[tex]\frac{39}{17}[/tex] + 4y = 7
4y = 7 - [tex]\frac{39}{17}[/tex]
= [tex]\frac{119}{17}[/tex] - [tex]\frac{39}{17}[/tex]
= [tex]\frac{80}{17}[/tex]
y = [tex]\frac{80}{17}[/tex] ÷ 4
y = [tex]\frac{20}{17}[/tex]
Thus, x = [tex]\frac{13}{17}[/tex], y = [tex]\frac{20}{17}[/tex].
( [tex]\frac{13}{17}[/tex], [tex]\frac{20}{17}[/tex])
I will give thank you 5 stars AND brainliest for the correct answer!
Answer:
The answer is 1.2
Step-by-step explanation:
1.2/6=0.2
Hope this helped!
Answer:
1.2
Step-by-step explanation:
6X0.2=1.2
Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket
hope it helps!!!!
please mark brainliest
Answer:
The price of adult ticket is £38.
Step-by-step explanation:
First, you have to form equations in terms of a (adult) and c (child) :
[tex]2a + 4c = 152 - - - (1)[/tex]
[tex]a = 2c - - - (2)[/tex]
Next, you have to solve these equations by substitution :
[tex](2)→(1)[/tex]
[tex]2(2c) + 4c = 152[/tex]
[tex]8c = 152[/tex]
[tex]c = 152 \div 8[/tex]
[tex]c = 19[/tex]
[tex]substitute \: c = 19 \: into \: (2)[/tex]
[tex]a = 2 \times 19[/tex]
[tex]a = 38[/tex]
whats the answer.......................
Answer:
D
Step-by-step explanation:
Cory is 5 times as far as kira. that makes it 5 times 5. tina is 5 times as far as cory. that makes it 5 times 5 times 5
Guys I am going to run out of points. Help with 19?
I don't need an explanation.
Answer:
A.) 20x + 2y = 500
B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.
C.) x-intercept = 25; How many T-shirts they can sell at most
Step-by-step explanation:
2y - 500 = -20x
20x + 2y - 500 = 0
20x + 2y = 500
y-intercept = 250; its meaning is how many boxes of pencils they started with.
20x + 2y = 500
20(0) + 2y = 500
2y = 500
2y/2 = 500/2
y = 250
x-intercept = 25; How many T-shirts they can sell at most
20x + 2y = 500
20x + 2(0) = 500
20x = 500
20x/20 = 500/20
x = 25
The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny
Answer:
783.78
or
£784
Step-by-step explanation:
where can u find answers for bigideasmath[please thx]
Answer:
look up the answer on googe
The 8th Grade wants to raise money for a field trip that costs $800. 15 students are in charge of fundraising. What is the minimum amount of money they each have to raise to achieve their goals (if they each raise the same amount of money)?
Answer: $54.35
Step-by-step explanation:
If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:
15*X
And the minimum amount they need to collect is $800
Then we will have the inequality:
15*X ≥ $800
Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:
(15*X)/15 ≥ $800/15
X ≥ $54.33...
Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.
Then the inequality is:
X ≥ $54.35
This means that the minimum amount that each one of the 15 students needs to collect is $54.35
Please help me ASAP before report cards thank you
what type of number is 0.27820?
Answer:
it'sba decimal number
Answer:
0.27820 is a rational number
There are 27 students in Mrs. Augello’s math class. The number of boys is three less than the number of girls. Write a system of equations that represents the number of boys and girls.
Answer:
x + y = 27
y = x - 3
Step-by-step explanation:
x = # of girls
y = # of boys
first there are a total of 27 students so # of girls plus # of boys has to be 27.
then number of boys is 3 less than number of girls. This means x - 3 = y or y = x-3
please click heart to give thanks :)
need some help (Geo)
Answer:
A 60
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
there are 2 ways to solve this...
1st, y=60 by the vertical angles theorem
2nd, x=120 by the linear pair postulate (x + 60 = 180)
next, y=60 because y + 120 = 180
How many cubic inches are needed to fill this
rectangular prism?
10 in.
9 in.
5 in.
5 times w increased by 4 is 2 times u.
(i don’t understand function rules)
will give brainliest
Answer:
5w + 4 = 2u
Step-by-step explanation:
If your problem is putting that statement into number form, then that'll be your answer
Please help I will mark branliest
Answer:
B
Step-by-step explanation:
30x = 30 minutes per day
Answer: D
(I might be wrong btw, srry)
Step-by-step explanation:
A and C aren't possible cause they suggest mintues. In your expression 30 is already the minutes. As for B which is really similar to D, it can't be either because it was only for this one season and not all.
Have a nice day :)
Ben creates a pattern using the rule “add 5.” Laura creates a pattern using the rule “add 10.”
Ben’s pattern: 0, 5, 10, 15, 20, 25
Laura’s pattern: 0, 10, 20, 30, 40, 50
Which is true?
Answer:
both
Step-by-step explanation:
you count my 5s like 5, 10, 15, 20, 25
you count by 10s like 10, 20, 30, 40, 50
Given triangle KLM, KM=24
m
Consider the attached diagram. Segment KO is an altitude of the triangle, so KO ⊥ LM. ∠L has measure 180° -105° -30° = 45°, so ΔKOL is an isosceles right triangle.
If we let segment LO have measure 1, then KO also has measure 1 and KL has measure √(1²+1²) = √2 by the Pythagorean theorem.
ΔKMO is half of an equilateral triangle, so KM has measure 2, and MO has measure √(2²-1²) = √3 by the Pythagorean theorem.
Then the ratio of KM to LM is 2:(1+√3) and the ratio of KL to LM is √2:(1+√3). That is, ...
... KL = LM×(√2)/(1+√3) = (20√3)(√2)/(1 +√3)
... KL = (20√6)/(√3 +1) = (20√6)(√3 -1)/(3 -1) . . . . . with denominator rationalized
... KL = 30√2 -10√6 ≈ 17.9315
and
... KM = LM×2/(1+√3) = KL×√2
... KM = (30√2 -10√6)√2
... KM = 60 -20√3 ≈ 25.3590
== == == == == ==
The Law of Sines tells you ...
... KL/sin(M) = KM/sin(L) = LM/sin(K)
Then ...
... KL = sin(M)·LM/sin(K) = sin(30°)·20√3/sin(105°) ≈ 17.9315
... KM = sin(L)·LM/sin(K) = sin(45°)·20√3/sin(105°) ≈ 25.3590
Answer:
≈ 12 unitsStep-by-step explanation:
Since m∠1 = m∠2, KF is angle bisector of ∠K
In the ΔKFM we have:
∠K = 34°/2 = 17°∠M = 15°∠F = 180° - (17° + 15°) = 148°KM = 24 unitsUsing low of sines:
sin F / KM = sin M / KFsin 148° / 24 = sin 15° / KFKF = 24*sin 15°/ sin 148°KF = 11.72 ≈ 12 unitsWhat is six fourths plus five tenths?
A. 11/10
B. 30/40
C. 3/4
D. 11/40
E. 2
F. 11/4
Answer:
e. 2
Step-by-step explanation:
HELP! IS THIS RIGHT?
Yes, this is the right answer
The scale of a map is 1 clear : 13 km. Find the actual distance corresponding to the map distance. The distance on the map is 4.5 cm The actual distance is ___ km
Answer: The actual distance is 58.5 km.
Step-by-step explanation:
Given: Scale of map = 1 cm : 13 km
The distance on the map is 4.5 cm.
To find : The actual distance corresponding to the map distance.
The actual distance corresponding to the map distance =
( distance on the map) x ([tex]\dfrac{13}{1}[/tex])
[tex]=4.5\times13\\\\=58.5\ km[/tex]
Therefore , the actual distance is 58.5 km.
Which one is correct? Please hurry
At Pizza Pi, 48% of the pizzas made last week had extra cheese. If 12 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
25 pizzas
Step-by-step explanation:
48% of 25 = 12.
in this case 13 would be the 52%
brainlist would be nice
Write the simplest polynomial function for each set of zeros
Zeros = 8,-10, 1,
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^3 +x^2 -82x +80
Step-by-step explanation:
If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...
p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form
When this is multiplied out, it becomes ...
p(x) = x^3 +x^2 -82x +80 . . . . . . standard form
_____
The factored form can be multiplied out using the distributive property.
= ((x(x +10) -8(x +10))(x -1)
= (x^2 +10x -8x -80)(x -1)
= (x^2 +2x -80)x -(x^2 +2x -80)
= x^3 +2x^2 -80x -x^2 -2x +80
= x^3 +x^2 -82x +80
