Answer:
1: [tex]\frac{6}{14}[/tex]
2: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
1: the number of yellow marbles is 6
the number of marbles in the bag is 14
the probability of yellow marbles out of the bag is
number of yellow marbles over number of marbles in the bag
2: there are only two sides
one head and one tail
head over tail is [tex]\frac{1}{2}[/tex]
Reuben would like to buy sports car that cost $35,000 today when he graduates from college in five years if the rate of information is expected to be 3% per year over the next five years how much wood Ruben expect to pay for a similar sports car in today's dollars
Answer:
$40,250Step-by-step explanation:
Amount he will pay in the next five years = Principal + Interest
Given Principal = $35,000
Simple Interest = PRT/100
R is the rate = 3%
T is the time in years = 5years
SI = 35,000 * 3 * 5/100
SI = $5,250
Amount = $35,000 + $5,250
Amount = $40,250
Ruben will have to pay $40,250 after 5years
Answer:
Reuben would pay $40574.59 in 5 years time
Step-by-step explanation:
The present value of the car, P = $35,000
Rate per year, R = 3% = 0.03 (Note that the rate is given per year and not for the whole 5 years, this means that the rate cannot be used over a period of 5 years)
Amount = P + RP = P (1 + R) = P ( 1+0.03)
Amount = 1.03P
Total time = 5 yrs
After year 1:
A = 1.03 * 35000 = $36,050
After year 2:
A = 1.03 * 36050 = $37,131.5
After year 3:
A = 1.03 * 37131.5 = $38,245.445
After year 4:
A = 1.03 * 38,245.445 = $39,392.808
After year 5:
A = 1.03 * 39,392.808 = $40574.59
Skylar and her children went into a movie theater and will buy bags of popcorn and pretzels. Each bag of popcorn costs $8 and each pretzel costs $3.25. Skylar has a total of $80 to spend on bags of popcorn and pretzels. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of pretzels purchased, p.P.
Answer:
[tex]8b+3.25p\leq 80[/tex]
Step-by-step explanation:
Each bag of popcorn costs $8
Each pretzel costs $3.25.
The total cost of b bags of popcorn =$8*b=$8bThe total cost of p pretzels purchased =$3.25*p=$3.25pSkylar has a total of $80 to spend on both items. This means that she can either spend less than or exactly $80.
i.e Total Cost [tex]\leq \$80[/tex]
Skylar's Total cost on popcorns and pretzels =8b+3.25p
Therefore:
[tex]8b+3.25p\leq 80[/tex]
Therefore, an inequality that would represent the possible values for the number of bags of popcorn purchased, b, and the number of pretzels purchased, p will be:
[tex]8b+3.25p\leq 80[/tex]
3/6+3/6+1/6 what is the answeR
Answer: 1.16
Step-by-step explanation:
So we know [tex]\frac{3}{6} + \frac{3}{6}[/tex] will equal 1.
Now, let's take apart [tex]\frac{1}{6}[/tex] and divide it...
1 ÷ 6 = 0.16
1 + 0.16 = 1.16
[tex]\frac{3}{6} + \frac{3}{6} + \frac{1}{6} = 1.16[/tex]
I hope this helps!
solve f(x)=−3(x+1)(x−5)
Answer:
x=-1 x=5
Step-by-step explanation:
f(x) =−3(x+1)(x−5)
0 = −3(x+1)(x−5)
Using the zero product property
x+1 = 0 x-5=0
x=-1 x=5
Help ASAP! need to hand in by today
Q 5) No. of boys = 20
Answer:
Q 6) Total time taken to answer both the quizzes = 90 minutes
Step-by-step explanation:
Q 5.
Let the number of boys = x
Therefore, number of girls = x - 5
Since,
No. of boys + No. of girls = 35
hence,
x + x- 5 = 35
2x-5 = 35
2x = 35 + 5
2x = 40
x = 40/2
x = 20
Hence 20 boys participated in the activity.
Let the time taken to answer history quiz= x min
Therefore, time taken to answer geography quiz = (x + 30) min
According to the given information:
x = 1/2(x + 30)
2x = x + 30
2x - x = 30
x = 30 min
Hence, x + 30 = 30 + 30 = 60 min
Total time taken to answer both the quizzes = 30 + 60 = 90 minutes
Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle measure of 180 degrees, what is the measure (in degrees) of Angle M?
Answer:
150 degrees
Step-by-step explanation:
Let's start off by looking at what we are working with in this specific problem:
We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)
Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.
Now that we've got all of that out of the way, let's set up a simple algebraic equation:
angle L + angle M = 180
We also know that angle L is 30 degrees so let's add it into the equation we have just created:
30 + angle M = 180
We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.
180 - 30 = angle M
Now we are left with:
150 degrees = angle M
Here are 3 and 4 the only ones left!!
Answer:
the five is not is left in the diagram
What is the explicit formula for the arithmetic sequence?
an = 1.2 + (n - 1)1.5 an = 1.5 + (n − 1)1.2
an = 1.5+ (n - 1)3.9
an = 3.9+(n-1)1.5
Answer:
an = 1.2 + (n - 1) 1.5
Step-by-step explanation: opt A on edg
Need DESPERATE help! I'm taking a unit test for math (k12, 10th grade) I got 3 done already so here's the ones I missed: Question 5: Use the inverse sine to find the measure of J J<->L: 16 L<->K: 5 OPTIONS: 20.0, 19.4, 18.2, and 18.0 Question 6: ΔXYZ is a right triangle with right angle X, sin Y = m, and cos Y = k.What is cos Z − sin Z ? OPTIONS: m-k, 2m, k+m, k-m Question 7: Given, sin x (1161) and cos x (6061). What is tan x? OPTIONS: 61/60, 61/11, 11/60, 1 Question 8: ΔABC is a 30-60-90 triangle where m∠B = 90°. The length of the shorter leg is 11 units. What is the length of the hypotenuse? ______ units
Answer:
Step-by-step explanation:
Question 6)
sin Y= m
sin Y = m/1
So, hypotenuse is 1
Since sine is opposite over hypotenuse
So XZ= m and YZ = 1
Similarly, cos Y = k
cos Y = k/1
So adjacent side of angle Y is k
So XY = k
cos z - sin z = [tex]\frac{XZ }{YZ } - \frac{XY}{YZ}[/tex]
cos z - sin z = [tex]\frac{m }{1 } - \frac{k}{1}[/tex]
cos z - sin z = m - k
Question 7)
the relationship between sine, cosine, and tangent.
tan(x) = sin(x)/cos(x) = (11/61)/(60/61)
tan(x) = 11/60
Question 8)
Start with where the shorter leg is. It must be opposite the smallest angle.
In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it.
That being said, if the shortest side is x, the hypotenuse will be 2x.
Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22
The answer is 22
Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term? 7^10 7·2^10 7·2^9
Answer:
F(1) = 7
F(2) = 14 = 7 x 2^1
F(3) = 28 = 7 x 2^2
F(4) =56 = 7 x 2^3
...
F(10) = 7 x 2^9
Hope this helps!
:)
A group of 2 adults and 4 children spent $38 on
tickets to a museum. A group of 3 adults and 3
children spent $40.50 on tickets to the museum.
Based on this information, how much is an adult
ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to
the system?
a=
C=
DONE
Answer:
A) 2a + 4c = 38.00
B) 3a + 3c = 40.50
We multiply A) by -1.5
A) -3a -6c = -57 then we add B)
B) 3a + 3c = 40.50
-3c = -16.50
c = 5.50
a = 8.00
Step-by-step explanation:
4 rational numbers between 3/8 and 2/5
Step-by-step explanation:
3/8 = 15/40= 75/200
2/5 = 16/40 = 80/200
-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200
THE HIGHEST POINT ON EARTH IS
MT. EVEREST AT 29,028 FEET. THE
LOWEST POINT ON EARTH IS ON ANTARCTICA
AT 8,327 FEET BELOW SEA LEVEL. DETERMINE THE
DIFFERENCE BETWEEN THE HIGHEST AND LOWEST
POINTS ON EARTH
Answer:
20,701 feet
Step-by-step explanation:
29,028-8,327= 20,701
Edith is balancing her lawn care business’ check registry. Her initial balance was $5,850.25. She deposited a check for $45.00 and a check for $55.50. Edith then purchased a new rake for $32.65 and spent $17.50 on gas for the lawn mower. What is the balance after the deposits and purchases? $5,900.60 $5,699.60 $150.65 $6,000.90
3) Smurfette is glad you're getting on with your adventure, but she wants to warn you that this last
system is "Smurfity smurf smurf!". She has a wire that is 100 inches long and cut into two pieces.
She wants you to find out if it's possible to bend one piece of wire into the shape of a square and the
other into the shape of a circle, so that the total area enclosed by the two pieces is 650 inches
squared. If this is possible, find the length of the side of the square, x, and the radius of the circle,
y. (Smurfette's Hint: Just smurf the smurf and the smurf...then smurf smurf the
smurf...and...smurf!!)
Answer:
take x=2.515834 and r=14.31386
Step-by-step explanation:
Let us call the the lenght of the side of the square as x. The total lenght of the wire is 100. Note that if we have a square of side x, it has a perimeter of 4x. That means, that we need a wire of length 4x to build a square of side x. Note that if we take a wire of length 4x, we have that the remainder is 100-4x. We will use this to form a circle. As for the square, since we are using the wire of length 100-4x to build a circle, it must happen that the perimeter of the circle is 100-4x.
Recall that the perimeter of a circle of radius r is [tex]2\pi r[/tex], so in this case , we have that [tex] 2\pi r = 100-4x[/tex] which implies that [tex]r =\frac{100-4x}{2\pi}[/tex].
Now, recall that the area of a square of side x is [tex]x^2[/tex]. Also, recall that the area of a circle of radius r is [tex]\pi r^2[/tex]. In our case, the area of the circle is given by
[tex] \pi r^2 = \pi (\frac{100-4x}{2\pi})^2[/tex]
Also, we are given that the sum of the areas of both figures is 650. That is
[tex] x^2 + \pi (\frac{100-4x}{2\pi})^2 = x^2+\frac{(100-4x)^2}{4\pi}=650[/tex]
By substracting 650 on both sides and multiplying by [tex]4\pi[/tex] this equation is equivalent to
[tex]4\pi x^2 + (100-4x)^2-650\cdot 4\pi =0[/tex]
if we expand [tex](100-4x)^2[/tex] and then group each term of x, x^2 we get :
[tex](4\pi+16)x^2-800x+100^2-650\cdot 4\pi =0[/tex]
Recall that given a cuadractic equation of the form [tex]ax^2+bx+c=0[/tex] the solution is given by
[tex] x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}[/tex]
In this case, the existence of a real solution is given by the expression [tex]b^2-4ac[/tex]. For it to have a real solution, it must happen that [tex]b^2-4ac\geq 0[/tex]
In this case, b=-800, c = 100^2-650\cdot 4\pi, a = 4\pi+16[/tex]
For this values, we get that [tex]b^2-4ac = 430681\geq 0[/tex], so the is a solution for our problem.
In this case,
[tex] x = \frac{-b - \sqrt[]{b^2-4ac}}{2a}= 2.515834[/tex]
and [tex] x = \frac{-b + \sqrt[]{b^2-4ac}}{2a}= 25.4891[/tex] are the two possible solutions for this problem. We can check that this values of x fulfill our restrictions. Note that if x=25.4891, by replacing in the value of r, we get that r=-0.3113853. Since r is the radius of the circle, it must be positive. Hence, x=25.4891 is discarted.For x=2.515834 we get a value of r=14.31386, so this is the answer
How do I find mGD and mDEF?
Answer:
118 degrees; 30 degrees
Step-by-step explanation:
2x+14=1/2((6+14x)-58)
2x+14=1/2(-52+14x)
2x+14=-26+7x
40=5x
x=8
6+14(8)=6+112=118
2(8)+14=16+14=30
please help quickly !
Answer:
i think its 2nd , 3rd and last one but im not sure
Step-by-step explanation:
What is the algebraic expression for the area of this house block?
Answer:
x² + 27x + 180
Step-by-step explanation:
(12 + x)(15 +x) = 12*15 + 12x + 15x + x² = x² + 27x + 180
y to the power of 3=64
Answer:
y=4
Step-by-step explanation:
4*4*4=64
[tex]4^{3}[/tex]=64
Answer:
y = 4
Step-by-step explanation:
y^3 = 64
Rewriting 64 as 4^3
y^3 = 4^3
When the powers are the same, the bases need to be the same
y = 4
What is the range of the number of points scored?
A 66
B 9
C 75
D 13
The numbers are
75, 64, 63, 68, 62, and 71,
Please
Answer:
I think it is A, I might be wrong.
Step-by-step explanation:
A square has a diagonal that measures 6 inches. Which of the following is the length of its perimeter?
(1) 8/3
(2) 1272
(3) 673
6 inches
(4) 1872
PLEASE HELP
Answer:
Perimeter of square = [tex]12\sqrt{2}\,\,inches[/tex].
None of the given options is correct
Step-by-step explanation:
Given: Length of diagonal of the square = 6 inches
To find: perimeter of square
Solution:
Let x denotes side of square
Diagonal of square = [tex]\sqrt{2}x[/tex]
Also, length of diagonal of the square = 6 inches
So,
[tex]x=\frac{6}{\sqrt{2}}\\=\frac{6}{\sqrt{2}}\left ( \frac{\sqrt{2}}{\sqrt{2}} \right )\\=3\sqrt{2}[/tex]
Perimeter refers to the distance around a two-dimensional shape.
Perimeter of square = 4×side
=[tex]4(3\sqrt{2})=12\sqrt{2}\,\,inches[/tex]
So, none of the given options is correct.
3. Garrison deposited $500 in an account that
earns 3% interest compounded annually. How
much interest will the account earn after 6
years?
Answer:
$90
Step-by-step explanation:
3% $500= $15
$15 times 6yrs = $90
Answer:
97.03
Step-by-step explanation:
the other guy is wrong.
The total cost for electricity use in a school in January was 44277·6 pence. Write this in £, giving your answer to the nearest penny.
Answer:
£442.78
Step-by-step explanation:
There are 100 pence in 1 Pound (£)
We want to determine the value of 44277·6 pence in pounds.
Expressing it as a ratio
100:1 = 44277·6:x
[tex]\dfrac{100}{1}=\dfrac{44277.6}{y} \\$Cross multiply\\100y=44277.6\\Divide both sides by 100\\\dfrac{100y}{100}=\dfrac{44277.6}{100}\\y=442.776\\y=\£442.78$ (to the nearest penny)[/tex]
44277·6 pence=£442.78 (to the nearest penny)
Answer:
The amount in pounds ≈ £ 442.78
Step-by-step explanation:
The total cost of the electricity in the school in January was 44277.6 pence. The cost of the electricity bill in pounds can be represented below.
Let us find the number of pence that makes a pounds (£).
1 pence sterling = £ 0.01
44277.6 pence = ?
cross multiply
44277.6 × 0.01
44277.6 × 0.01 = 442.776 pounds
The amount in pounds = £442.776
Rounding to the nearest penny ≈ £442.78
PLEASE HELP!!! WILL MARK BRAINLIEST!!! :)
Answer:
[tex]\frac{5(x-2)}{x+1}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{5(x-2)}{x+1\\}[/tex]
Step-by-step explanation: pls mark me brainliest if you think i am. i need it to level up!!
Jack bought 5 pounds5 \text{ pounds} 5 pounds 5, start text, space, p, o, u, n, d, s, end text of Halloween candy. He gave out 3 pounds3\text{ pounds} 3 pounds 3, start text, space, p, o, u, n, d, s, end text of the candy to trick or treaters and ate 10 ounces10\text{ ounces} 10 ounces 10, start text, space, o, u, n, c, e, s, end text of the candy. How many ounces of Halloween candy does Jack have left?
Answer:
Amount of ounces of candy left = 22ouncesStep-by-step explanation:
Amount of halloween candy bought by Jack = 5pounds
Amount he gave trick = 3pounds
Amount jack ate = 10ounces
Before we can determine the amount of halloween candy that Jack has left, we need to convert the pounds to ounces in order to make the units consistent.
given 1pound = 16ounces
5pounds = 16* 5 ounces
5pounds = 80ounces
Also;
3pounds = 16*3 ounces
3pounds = 48ounces
Total amount of halloween used up by Jack = 48ounces + 10ounces
= 58ounces
Amount of ounces of candy left = Total amount of candy bought -amount used up
Amount of ounces of candy left = 80ounces - 58ounces
Amount of ounces of candy left = 22ounces
The volume of the sphere is
500
- cubic units.
What is the value of x?
4 units
5 units
8 units
10 units
The answer is 5 units
Step-by-step explanation:
Kachow
answer these question
SOLVE these
1.(5x + 3 = x + 11)
2.(7x - 2 = 5x +14)
3.(18x - 15 - 12x + 16)
4.(9x - 19 = 2x - 5)
Answer:
x =2x = 8 x= 5.1667x =2Step-by-step explanation:
I hope it helps
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Find the total circumference
C = pi x d
d = r x 2
d = 5 x 2 = 10
C = pi x 10 = 10pi
Step 2) Find 1/4 of the circumference
10pi / 4 = 2.5pi = 7.85
Step 3) Add the two radii sides to the 1/4 circumference
7.85 + 5 + 5 = 17.85
C = 17.85 feet
Hope this helps! :)
Answer:
17.85ft
Step-by-step explanation:
the quarter circle is 90 degrees, so use this to find the length of the arc (the curve), by doing:
[tex]\frac{90}{360}[/tex]x2x3.14x5
this will give you the answer of 7.85 ft
once you got the length of the arc, add 10 (the two radiuses), to get 17.85ft
hope this helps
Solve by factorisation
2x2 + 3x - 20 = 0
Step-by-step explanation:
4 + 3x -20 = 0
3x - 16 = 0
3x = 16
x = 16/3
Point A(4, 5) is translated two units left and three units up. What are the new coordinates of point A
Answer:
A': (2, 8)
Step-by-step explanation:
I have attached the work to your problem below.
I hope this helps.