Answer:
possibility 1 - triplet:3, mother/father:35
possibilty 2 - triplet:1, mother/father:38
Two possibilities for the family's ages are the (father 38, Mother 38, and triplets 1-year-old each) and the second possibility is (the father and mother 35 each and triplets 3 years old each).
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here, the father and the mother have identical age and also triplets.
let the age of mother and father be x and the triplets be y then we can form the equation is 2x+3y=79
Possibility 1) 76 3 =79
Possibility 2) 70 9 =79
In possibility one x=38 and y =1 and possibility 2 x=35 and y=3
Hence the two possibilities are the (father 38, Mother 38, and triplets 1-year-old each) and the second possibility is (the father and mother 35 each and triplets 3 years old each).
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how is 3n+3 is divisible by 3
Answer:
n + 1
Step-by-step explanation:
Consider the division in fractional form, that is
[tex]\frac{3n+3}{3}[/tex] ← factor out 3 from each term on the numerator
= [tex]\frac{3(n+1)}{3}[/tex] ← cancel common factor 3 on numerator/ denominator, leaving
= n + 1
What is the simplified value of the exponential expression 16 1/4?
(A) 1/2
(B) 1/4
(C) 2
(D) 4
Answer:
c
Step-by-step explanation:
the answer is c
The simplified value of the exponential expression 16^(1/4) is 2.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplified value of the exponential expression 16^(1/4) is,
[tex]16^{\frac14}\\\\= \sqrt[4]{16}\\\\= \sqrt[4]{2^4}\\\\= 2[/tex]
Hence, the simplified value of the exponential expression 16^(1/4) is 2.
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Find the approximate surface to area to volume ratio of a softball with a radius of 2inches
Answer:
1.5
---------------------
Please help, I will give 15 points and brainiest
Answer:
Q: How much of the cylinder does the sphere fill
A: The sphere fills the whole cylinder
Step-by-step explanation:
The sphere's height, as written in the picture (The red words) says 2r and the same goes for the cylinder, therefore if they both say, "h = 2r" then it is evident that they both are equivalent. Therefore, the Sphere fills up the whole cylinder.
What is the equation of the line?
That's a vertical line, no slope, so no y=something.
Answer: x = -9
Please help me with this assignment I need help and been struggling with it so please help me and is due by 7;50 pm please answer 5-8
Answer:
5. DBE and CBA both=48 degrees
6. a. scalene, right
b.isosceles, obtuse
c. scalene, acute
7. 50 degrees
8. im not completely sure how to do this one but ill check into it
Step-by-step explanation:
its a lot to explain, in 5 find p and plug it in.
in 6, just look at the sides and angles.
scalene- no sides equal
isosceles- 2 sides equal
equilateral- all sides equal
right- one 90 degree angle
acute- all acute angles (less than 90)
obtuse- one obtuse angle (more than 90)
7. add 90 and 40 to get 130. 180-130=50
8. im gonna look up how to do this one right now
What is the image point of (1,4) after a translation left 5 units and down 5 units
Answer:
(-4, -1)
Explanation:
PLZ HELP!!!!
A pedestal in a craft store is in the shape of a triangular prism. The bases are right triangles with side lengths of 9 inches, 12 inches, and 15 inches. The store owner wraps a piece of rectangular cloth around the pedestal, but does not cover the identical bases of the pedestal with cloth. The area of the cloth is 252 square inches.
Part 1 out of 2
Complete the explanation for the distance around the base of the pedestal and how to find it.
The distance is __ inches; the base is a ___ with ___ 9 ___ 12 ___ 15 = ____ in.
Answer:
this is a tought one but ima just say 19 in because i feel like this is in a pattern
Answer:
36, Triangle, +, +, 36
Step-by-step explanation:
3. Write an equation in slope-intercept form of the line that passes
through the point (4, -1) and has a slope of 2.
A. y = 2x - 7
B. y = 2x - 9
C. y = 2x + 7
D. y = 2x + 9
Answer:
B. y = 2x - 9
Step-by-step explanation:
All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.
You can tell by plugging the point into the equation and seeing if the result is true.
y = 2x - 9
-1 = 2(4) - 9
-1 = 8 - 9
-1 = -1
James bought a sweater that cost $15.99 and some socks that cost $0.99 per pair. The total cost was $21.93. Write an question and solve it to find how many pairs of socks that James bought [ignore sales tax]
Can someone help me please!
Answer:
Nathan buys six socks
Step-by-step explanation:
You times 0.99 by six and get your answer when you add the number you add to the cost of the sweater
In quadrilateral BCED, we have BD = 11, BC = 9, and CE=2. Sides BD and CE are extended past B and C, respectively, to meet at point A. If AC = 28 and AB = 24, then what is DE?
Answer:
DE = 11.25 units
Step-by-step explanation:
The image of the quadilateral BCED and the extensions of BD and CE to move past B and C to meet at A is presented in the attached file to this answer.
Let the angle at A be θ
Let the length of DE be x
ABC forms a triangle which van allow θ to be obtained using cosine rule.
BC² = AB² + AC² - (2×AB×AC×cos θ)
BC = 9
AB = 24
AC = 28
9² = 24² + 28² - (2×24×28×cos θ)
-1279 = -1344 cos θ
Cos θ = (1279/1344) = 0.9516
θ = 17.89°
Note that ADE also forms a triangle and we can also use cosine rule to obtain the required side DE
DE² = AD² + AE² - (2×AD×AE×cos θ)
DE = ?
AD = AB + BD = 24 + 11 = 35
AE = AC + CE = 28 + 2 = 30
θ = 17.89°
DE² = 35² + 30² - (2×35×30×cos 17.89°)
DE² = 126.54
DE = √126.54 = 11.25
Hope this Helps!!!
The value of DE in the quadrilateral is 11.25 units.
How to solve the quadrilateral?From the information given, the cosine rule can be used. This will be:
BC² = AB² + AC² - (2 × AB ×AC × cos)
Therefore,
9² = 24² + 28² - (2 × 24 × 28 × cos)
cos = 17.89°
Therefore, the value of DE will be calculated thus:
DE² = 35² + 30² - (2 × 35 × 30 × cos 17.89)
DE = ✓126.54
DE = 11.25
In conclusion, the value of DE is 11.25 units.
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Evaluate: 64.2 % –7.5
A. –11.68
B. –8.56
C. 8.56
D. 11.68
Answer:I don't know if your answer is there:/ -6.858
Step-by-step explanation:
64.2
100
−7.5
=0.642−7.5
=−6.858
Answer:
the answer is B.
Step-by-step explanation:i passed on the quiz if you would like to do the math you can ^^
Question 2
The oak tree is 40 feet taller than the maple. Write an expression that represents the height
oak.
O=
Answer: O = m + 40
Step-by-step explanation: O is 40 feet taller than the maple, so we can use m (maple). However tall the maple is, we just add 40.
Hope this helps :)
6. CAN SOMEONE PLEASE HELP ME? I'M NOT GOOD IN MATH.
Explain your work please
Answer:
6√2
Step-by-step explanation:
This is a right triangle. The legs of a right triangle are the sides that make up the right angle, and the hypotenuse is the side opposite to the right angle. To find x, we will use the Pythagorean Theorem. This states that a² + b² = c², where a and b are the legs and c is the hypotenuse. Since we know that the legs are both x and the hypotenuse is 12, we can plug these values into our equation to get x² + x² = 12².
2x²=144 → x² = 72 → x = √72, which simplifies to x = 6√2. Hope this made sense and helps!
A mixed fraction, expressed in lowest terms, is in the form a b/c
The fraction is halved and then 3/4 is added
The result is 1 9/20
find the values of a, b, and c
Answer:
The answer is actually a proper fraction = 7/20
Step-by-step explanation:
A mixed fraction is expressed as : a b/c
Let the mixed fraction be represented by Y
a) The fraction is halved
= Y ÷ 1/2 = Y/ (1/2)
In mathematics, when we divide a number by a fraction, the number is multiplied by the reciprocal of the fraction.
Y × 2 = 2Y
b) Then 3/4 is added
= 2Y + 3/4
c)The result is 1 9/20
2Y + 3/4 = 1 9/20
Converting the mixed fraction to improper fraction, we have
1 9/20 = (20 × 1) + 9/ 20 = 29/20
Therefore,
2Y + 3/4 = 29/20
2Y = 29/20 - 3/4
The Lowest common multiple of the right hand side = 20
2Y = (29 - 3×5)/ 20
2Y = 29 - 15/20
2Y = 14/20
2Y = 7/10
To find Y , we cross multiply
2Y × 10 = 7
20Y = 7
Y = 7/20
Therefore, the mixed fraction represented by Y is actually a proper fraction = is 7/20
Answer:
a = 1
b = 2
c = 5
Step-by-step explanation:
Given
Mixed fraction: a b/c
Result after arithmetic operations = 1 ⁹/20
Required.
Find a, b, c
From the question, the fraction is halved. This is represented as follows
a b/c ÷ 2
= a b/c * ½
Then, ¾ is added. This is represented by
a b/c * ½ + ¾
The result is 1 ⁹/20. This is represented by
a b/c * ½ + ¾ = 1⁹/20
Convert mixed fraction to improper fraction
a b/c * ½ + ¾ = 29/20
Subtract ¾ from both sides
a b/c * ½ + ¾ - ¾ = 29/20 - ¾
a b/c * ½ = (29 - 15)/20
a b/c * ½ = 14/20
a b/c * ½= 7/10
Multiply both sides by 2
2 * a b/c * ½= 7/10 * 2
a b/c = 14/10
a b/c = 7/5
Convert mixed fraction to improper fraction
a b/c = 1⅖
By comparison,
a = 1
b = 2
c = 5
3 is less than or equal to w, and w less than or equal to 9
Answer:
3 <_ w and w <_ 9
Step-by-step explanation:
The <_ are underlined btw
Hope this helped!
Help
Pls :) I cannot find the answer
Answer:
1815 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter =22
so the radius is d/2 = 22/2 =11
V = pi (11)^2 (15)
V = pi1815
V = 1815 pi cm^3
3) Impressed by your mathematical vocabulary and ability to find the meaning of his favorite
sesquipedalianism, Viking would like to award Norman 8 Swedish Fish for every letter in the LAST
word of its meaning. How many Swedish Fish is Viking giving Norman?
Answer:
56 Swedish Fish
Step-by-step explanation:
1 = T
2 = H
3 = U
4 = N
5 = D
6 = E
7 = R
8 = C
9 = L
10 = A
11 = P
Thunderclap means a crash of thunder
T h u n d e r = 7 letter word
Hence the number of fishes Viking gives Norman is 8 × 7 = 56 Swedish Fish
You are saving $3.75 each week to buy a DVD that costs $26.79, including tax. For how many weeks will you need to save
Answer:
8 weeks
Step-by-step explanation:
26.79/3.75 = 7.144
To get the full amount you need to round up to the next highest week.
Answer:
Every week you should save $18.05
Step-by-step explanation:
*HELP NEEDED*
25
105°
NOTE: Angles not necessarily drawn to scale.
Answer:
50
Step-by-step explanation:
because i just got it right from khan
Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
Parallel lines v and w are crossed by transversal t. Clockwise from top left, the angles formed with line v are 155 degrees, blank, blank, blank; with line w are 1, 2, 3, 4.
Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.
What is the mAngle1?
25°
35°
145°
155°
Answer:
155
Step-by-step explanation:
The measure of <1 is 25.
What is Parallel line?The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
The streets represented by lines V and W are parallel.
We need to determine the measure of ∠1.
As, Corresponding angles are those in the matching corners formed when a transversal line crosses two parallel lines.
Additionally, the size of the corresponding angles is consistently the same.
So, From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.
Thus, the measure of ∠1 is 155°
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Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.
Answer:
6x2 3 + 4(2x - 1)
Step-by-step explanation:
6x23+4(2x−1)
Distribute:
=6x23+(4)(2x)+(4)(−1)
=6x23+8x+−4
Answer:
=6x23+8x−4
A number cube is rolled. Event A is rolling an even number, and event B is rolling a multiple of 3.
What is the sample space S?
Answer:
I will answer when you explain what you mean by sample space.
Step-by-step explanation:
please do not delete.
I just circumference of a pizza if the diameter is 10 inches
Answer:
10π
Step-by-step explanation:
The circumference of a circle can be found with the formula πd, where d is the diameter. When we plug in 10 for d, we get 10π inches. Hope this helps!
8x – 10 = 62
6
7
13
9
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 62
Add 10 to each side
8x-10+10 = 62+10
8x = 72
Divide each side by 8
8x/8=72/8
x = 9
.If x= 2 +√3 , find the value of x^2+1/x^2 and x^4+1/x^4
Answer:
pls may you explain I don't understand explain step by step
If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $3 each, how much will you save on each package plan?
[tex]\left \{ {{3A+2B=19} \atop {2A+3B=16}} \right.[/tex]
Answer:
$4
Step-by-step explanation:
Simple math
I NEED THIS QUESTION PLEASE HELP!!!
Answer:
The second answer is correct
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i need a answer FAST .
Answer:
The Last Equation
Step-by-step explanation:
[tex]2(x+3)=32[/tex] is the same thing as [tex]2x+6=32[/tex].
Why? Because if you apply the distributive property...
[tex]2(x+3)=32\\2 * x =2x\\2*3 = 6\\\boxed {2x+6=32}[/tex]
You get what was mentioned in the question!
So, 2(x+3)=32 should have the same solution as 2x + 6 =32.
Brainilest Appreciated.
Answer:
The bottom choice, 2(x + 3) = 32
Step-by-step explanation:
2x + 6 = 32
Subtract 6 from both sides of the equation
2x = 26
x = 13
Substitute the new value for x into all of the possible equations
1) 2x = 38, 2) x - 3 = 16 3) x + 6 = 16 4) 2(x - 3) = 16
13 * 2 = 38 13 - 3 = 16 13 + 6 = 16 2x - 6 = 16
26 = 38 10 = 16 19 = 16 13(2) - 6 = 16
False False False 26 - 6 = 16
20 = 16
False
5) 2(x + 3) = 32
2x + 6 = 32
2(13) + 6 = 32
26 + 6 = 32
32 = 32
True
The last answer choice, (the 5th one down) is correct
Hope this helps :)
4. compare 5 gal and 18 qt
6. compare 4.5 km and 5,000m
PLS HELP HURRY ASP BEST ANSWER. GETS BRAINLESST
Answer: >,<
Step-by-step explanation:
18 qt = 4.5 gallons which is not greater than 5 gallons
4.5km = 4,500 m is not greater than 5,000 m
Answer:
1st: 5 gal > 18 qt
2nd: 4.5 km < 5,000 m
Step-by-step explanation:
1 gallon is equal to 4 quarts
Going by this logic, 5 gallons should be 20 quarts. Since it says 18, 5 gallons is more than it. So the answer is '>'.
1 kilometer is the same as 1000 meters
4.5 kilometers * 1000 = 4,500 meters
5000 meters / 1000 = 5km
So the answer should be '<' since 5,000m is greater than 4.5km.