Answer:
Nina is 25, Sam is 15
Step-by-step explanation:
5 years ago, Nina was 2S, and Sam was S.
In 5 years, she will be 1.5S and Sam is S.
In a span of 10 years, she will be 0.5S less.
20, 10 5 years ago
Currently, 25 and 15 years.
30 and 20 years in 5 years.
20*1.5=30
By solving from an expression Nina is currently 25 years old and Sam is currently 15 years old.
What is an expression?In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.
Let's start by assigning variables to their current ages. Let N be Nina's current age and S be Sam's current age.
We know from the first sentence that 5 years ago, Nina was twice as old as Sam. So we can set up an equation based on that:
N - 5 = 2(S - 5)
Expanding the right side:
N - 5 = 2S - 10
N = 2S - 5
Now we can use the second sentence, which tells us that in 5 years Nina will be 1.5 times as old as Sam.
N + 5 = 1.5(S + 5)
Expanding the right side:
N + 5 = 1.5S + 7.5
N = 1.5S + 2.5
We have two equations, one for N in terms of S and one for N in terms of S. We can set them equal to each other:
2S - 5 = 1.5S + 2.5
Solving for S:
0.5S = 7.5
S = 15
So Sam is currently 15 years old. We can use either equation to find Nina's age:
N = 2S - 5
N = 2(15) - 5
N = 25
So Nina is currently 25 years old.
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Factor completely 16x4 − 81.
(2x − 3)(2x − 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 − 9)
(2x + 3)(2x + 3)(4x2 + 9)
From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).
Factoring
In math, the factoring or factorization is used to write an algebraic expression in factors.
The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).
If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:
[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].
Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).
Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].
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Final answer:
The expression 16x^4 − 81 is a difference of squares and can be factored completely into (2x + 3)(2x − 3)(4x^2 + 9).
Explanation:
The student has asked to factor the expression 16x4 − 81 completely. This expression is a difference of squares, where 16x4 is the square of 4x2, and 81 is the square of 9. According to the difference of squares formula, a2 − b2 can be factored into (a + b)(a - b). Therefore, 16x4 − 81 can be factored as:
(4x2 + 9)(4x2 − 9)
Next, observe that 4x2 − 9 is another difference of squares, which can be further factored into (2x + 3)(2x − 3). Combining these factors, we get the completely factored expression:
(2x + 3)(2x − 3)(4x2 + 9)
Which statements are true for the following expression?
(9 + 1) · 5
Check all that are true.
The solution is the product of two factors.
The first factor is itself the product of two terms.
The solution is the sum of two terms.
The second factor is itself the sum of two terms.
The first factor is itself the sum of two terms.
The statements that follows the Expressions are:
The solution is the product of two factors.
The first factor is itself the sum of two terms.
What are Factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
We can describe this expression as the product between a 5 and the sum of two 9 and 1, that is, the second factor is a sum of two terms, this means option A is a true statement.
As a product, the solution of this expression is the solution of that product, however, we first have to sum both terms inside the parenthesis, like this
= (9 + 1)5
= 10(5)
= 50
So, the statements that follows the Expressions are:
The solution is the product of two factors.
The first factor is itself the sum of two terms.
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A plumber has a piece of pipe that is 5-meter long. He needs to cut it into sections that are 10
centimeters long.
How many sections will he be able to cut?
Complete the explanation about how you found your answer.
It can be cut into
sections.
5 meter(s) is equal to
x 100 cm =
cm.
The plumber able to cut the 5-meter long pipe into 50 sections, each measuring 10 centimeters.
To find the number of sections the plumber able to cut from a 5-meter long pipe, to convert the length to centimeters.
That 1 meter is equal to 100 centimeters. So, to convert 5 meters to centimeters, multiply 5 by 100:
5 meters × 100 centimeters/meter = 500 centimeters
Now that the length of the pipe in centimeters (500 cm), divide it by the desired length of each section, which is 10 centimeters:
500 centimeters / 10 centimeters/section = 50 sections
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Can someone help me please for nth term?
Answer:
Step-by-step explanation:
23) a) n - (n+1)
Remove the parenthesis by multiplying (n+1) by (-1)
n - (n+1) = n - n - 1 = -1
b) n(n+1) = n*n + n*1
= n² + n
c) When we are adding the two numbers it is,
n² + n - 1. This will always be odd because n² + n will always be even and when we subtract 1 from that it will be odd
Example: Take n = 3
n² + n = 3*3 + 3 = 9 + 3 =12; So, n² + n -1 = 12- 1 =11 --> odd
When n = 7
n² + n = 49 + 7 = 56 ; So, n² + n -1 = 56-1 = 55 ---> odd
When n =8
n² + n = 64 + 8 = 72; So, n² + n -1 = 72 -1 = 71
When n = 16
n² + n = 256 +16 = 272 ; So, n² + n - 1 = 272 - 1 = 271 ----->odd
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Since there's no diagram. Let us calculate using the values in the attached file to aid the comprehension of what is expected of you.
Answer:
44.657cm^3
Step-by-step explanation:
Please kindly check the attached file for more
Answer:
8π
Step-by-step explanation:
first the equation for a cone is [tex]\pi r^2\frac{h}{3}[/tex]
[tex]V=\pi *3^{2} *\frac{8}{3} \\ =\pi *9*\frac{8}{3} \\ =\frac{72}{3} \pi \\ =24\pi[/tex]
so since Abigail spilled 2/3 of the water then you do
[tex]24\pi * \frac{1}{3}\\ =8\pi[/tex]
so overall the volume of the remaning water is 8π.
The following table shows the number of heart beats for 4 animals. For example, the pig's heart beats 225
times in 3 minutes.
Animal
Heartbeats
Minutes
Pig
225
Horse
180
Cow
520
Dog
540
Which animal's heart beats at a rate of 65 beats per minute?
Answer:
The cow's heart beats at 65 beats per minute
Step-by-step explanation:
To solve the per minute, take the total heartbeat number and divide it by the amount of minutes like so:
Pig: [tex]\frac{225}{3}[/tex]
Horse: [tex]\frac{180}{4}[/tex]
Cow: [tex]\frac{520}{8}[/tex]
Dog: [tex]\frac{540}{6}[/tex]
Now all that you have to do is simplify them to get the following values:
Pig: 75 beats per minute
Horse: 45 beats per minute
Cow: 65 beats per minute
Dog: 90 beats per minute
Can someone help me please
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?
Answer:
R=3.897
Step-by-step explanation:
Given the magnitude measured by the Ritcher scale is given as;
R = 0.67log(0.37E) + 1.46 where E= is the energy (in kilowatt hours)
If E=1,770,000 then
R= 0.67log(0.37*1770000)
R=0.67log(654900)
R=0.67*5.81617
R=3.897
Final answer:
To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.
Explanation:
The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula
R = 0.67log(0.37E) + 1.46
where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.
First, substitute the given energy value into the formula:
R = 0.67log(0.37*1770000) + 1.46.
Performing the calculation:
0.37 * 1,770,000 = 654,900
log(654,900) = 5.816
R = 0.67 * 5.816 + 1.46
R ≈ 5.51
Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.
If Chickens lay about 12 eggs about every 4 days how many will they lay in 1 year 2 months and 3 days?
Answer:
1284 Eggs
Step-by-step explanation:
To work this out you would first have to know how many days there are in a year, which is 365. Then you would need to add the amount of days in January and February. January has 31 days and February would have 29, and so 29 plus 31 is 60. Then you would add 60 to 365, which is 425. Then you would add 3 to 425, which is 428. Then you would divide 428 by 4, which is 107. Then you would multiply 107 by 12, which is 1284.
1) Find out how many days there are in a year.
There are 365 days in a year
2) Add 31 to 29.
[tex]31+29=60[/tex]
3) Add 60 to 365.
[tex]365+60=425[/tex]
4) Add 3 to 425.
[tex]425+3=428[/tex]
5) Divide 428 by 4.
[tex]428/4=107[/tex]
6) Multiply 107 by 12.
[tex]107*12=1284[/tex]
What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of
cards?
1/6
1/12
1/10
1/24
What is the answer to 7x+7=4x
Answer:
-2 1/3
Step-by-step explanation:
First, subtract 7x from both sides to isolate the variable:
7x+7=4x
-7x -7x
=7=-3x
divide both sides by -3 to find the value of x
what is 2/5 - 1/3 = ?
Answer:
1/15
Step-by-step explanation:
If a = 2 and b = 8, what is the value of the following expression?
8 divided by a + 4 x b
*The answer is not 19*
Answer:
36
Step-by-step explanation:
a = 2
b = 8
8 : a + 4 × b
= (8 : 2) + (4 × 8)
= 4 + 32
= 36
NEED SOMEONE WITH BIG BRAINS
Imagine we have a piece of string 25,000 miles long, just long enough to exactly circle the globe at the equator. We take the string and fit it snugly around the equator, over oceans, deserts and jungles. When we have completed our task, we find that the string is just one yard too long. To overcome the error, we decide to tie the ends together and to distribute the extra 36 inches evenly over the entire 25,000 miles, figuring that it will never be noticed. How far do you think the string will stand off from the ground at each point, merely by virtue of the fact that it is 36 inches (3 feet) too long? Explain your answer.
Answer: just an extra one foot
Step-by-step explanation:
Given that the length of the piece of string = 25,000 miles
Since the string is long enough to exactly circle the globe at the equator over oceans, deserts and jungles. We can say that the string could completely circle a sphere
Assuming that the earth is a perfect sphere.
The circumference of the circle = 25,000 mile.
But note that the circumference of a circle is directly proportional to the radius. If you double the radius, the circumference will also be doubled. Half the circumference, half the radius. Increase the circumference by 30%, radius will also be increased by 30% and so on.
In this question, the radius is being increased by 3 feet, so we need to know that as a fraction of the original radius.
Circumference = 2πr
Let's also convert miles to feet
25000 × 5280 = 2(3.143)r
r = 132 × 10^6/2π
r = 21008452.5 feet
3 feet - that's how far off the ground we're lifting the string out of 21008452.5 feet is close to one part in 25000 miles. The string was 132000000 feet long to start with, so we need just an extra 1 foot.
Maria has 56.20 feet of ribbon to use for a border around a rectangular bulletin board in her
classroom. The board is 4.47 feet tall and 7.25 feet wide. How many feet of ribbon will Maria
have left after she puts the border around the bulletin board?
Answer:
32.76 ft
Step-by-step explanation:
step 1
Find the perimeter of the rectangular bulletin board
The perimeter of rectangle is given by
[tex]P=2(W+H)[/tex]
where
W is the width
H is the height
we have
[tex]W=7.25\ ft\\H=4.47\ ft[/tex]
substitute
[tex]P=2(7.25+4.47)=23.44\ ft[/tex]
step 2
Subtract the perimeter from the total feet of ribbon
so
[tex]56.20-23.44=32.76\ ft[/tex]
Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all circles? Explain. The circumference of Circle A is nothing meters.
Answer:
Circumference of Circle A=131.95mCircumference of Circle B=175.93mStep-by-step explanation:
Given two circles A and B
Circumference of a circle =[tex]2 \pi r[/tex]Radius of Circle A=21 metersCircumference of Circle A[tex]=2*21*\pi=42\pi=131.95m[/tex] meters
Radius of Circle B=28 metersCircumference of Circle B[tex]=2*28*\pi=56\pi=175.93m[/tex] meters
The larger the radius of a circle, the larger the circumference. We notice that the radius of circle B is larger so its circumference is also larger.
Answer:
Step-by-step explanation:
its actually 42πMateo has two fish tanks that have different volumes.
He wants to use the tank that can hold the greatest
amount of water. Which tank should he use, and why?
Mateo should use
The correct answer was tank:B
Answer: Tank B, because it has the greatest volume
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I don't really know, but his fish needs more space to move around, like all fish tanks.
Identify the pair of angles as complementary, supplementary, or neither.
A.
supplementary
B.
complementary
C.
neither
Answer:
B
Step-by-step explanation:
hope this helps
stay safe
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450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get
Answer:
john gets 274
Step-by-step explanation:
150 divided by 2 = 225
add 50 to johns amount and you get 275
Answer:
250$
Step-by-step explanation:
250-50=200
200+250=450
find the solution for the system of linear equations by substitution: y = x. y = 2x - 4
Answer:
y= 4
Step-by-step explanation:
25 points!!! Please help!!
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.
a. Write a function to represent this situation. Use x and y as your variables.
b. What would his weight be after 8 weeks?
Answer:
a) y= 8x+90 b) 154 pounds
Step-by-step explanation:
a) 90 will be the initial value (b) and 8 will be the slope (m)
this gives the linear function :
y = 8x + 90
b) to find his weight after 8 weeks plug in x=8
y= 64+90
y=154
154 pounds
Hey help me out with this question ive been stuck on it for a while Thank youu.
Answer:
A=B
6x+18=x+93
5x=75
x=15
B=x+93
B=15+93
B=108
Step-by-step explanation:
Answer: I don't know
Step-by-step explanation: add all those probely
Solve -6x + 19 = x-2. Check for extraneous solutions.
Answer:
x=3 one solution
Step-by-step explanation:
Let's solve your equation step-by-step.
−6x+19=x−2
Step 1: Subtract x from both sides.
−6x+19−x=x−2−x
−7x+19=−2
Step 2: Subtract 19 from both sides.
−7x+19−19=−2−19
−7x=−21
Step 3: Divide both sides by -7.
−7x /−7 = −21 /−7
x=3
Answer:
x = 3
Step-by-step explanation:
Solve -6x + 19 = x-2
Solve for x:
19 - 6 x = x - 2
Subtract x from both sides:
19 + (-6 x - x) = (x - x) - 2
-6 x - x = -7 x:
-7 x + 19 = (x - x) - 2
x - x = 0:
19 - 7 x = -2
Subtract 19 from both sides:
(19 - 19) - 7 x = -19 - 2
19 - 19 = 0:
-7 x = -19 - 2
-19 - 2 = -21:
-7 x = -21
Divide both sides of -7 x = -21 by -7:
(-7 x)/(-7) = (-21)/(-7)
(-7)/(-7) = 1:
x = (-21)/(-7)
The gcd of -21 and -7 is -7, so (-21)/(-7) = (-7×3)/(-7×1) = (-7)/(-7)×3 = 3:
Answer: x = 3
h(n)=-4n-5
g(n)=n-1
Find h(g(n)) =
Answer:
h(g(n))=4n-9
Step-by-step explanation:
h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).
h(g(n))=4(n-1)-5
h(g(n))=4n-4-5
h(g(n))=4n-9
Hope you understand it
Find the area of the shaded region. Round to the nearest tenth.
Answer: 9.3
Step-by-step explanation:
Find the number in the tenth place 2 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Answer:
11.6
Step-by-step explanation:
Brainliest to the correct answer and all answers get thanks! Please help :3
Answer:The answer is; It builds tension in the story:and it introduces the setting.
Step-by-step explanation:
The right answer is of option D.
Look at the attached picture⤴
Hope it will help u...
true or false: the arrows on the opposite side of a parallelogram show that the sides are congruent
Answer:
false
Step-by-step explanation:
Mary and Sam need to plant 198 trees. If Mary can plant 12 trees in 5 hours and Sam can plant 14 trees in 7 hours
how long would it take them if they worked together?
steps ?
Answer:
Step-by-step explanation:
so you wanna first add the hours
12
then add the number of trees painted in that number of hours
26
do 198 divided by 26
7.62( rounded to the nearest hundredth)
then take that product and multiply it by 12
91( rounded to the nearest one)
tha'ts your answer: 91 days
PLEASE HELP 6th GRADE MATH ONE PROBLEM
Answer:
Step-by-step explanation:
[tex]\frac{-5}{4}+\frac{75}{40}+\frac{100}{100}=\frac{-5}{4}+\frac{75}{40}+1\\\\=\frac{-5*10}{4*10}+\frac{75}{40}+\frac{1*40}{1*40}\\\\=\frac{-50}{40}+\frac{75}{40}+\frac{40}{40}\\\\=\frac{-50+75+40}{40}\\\\=\frac{65}{40}\\\\=\frac{13}{8}\\\\=1.625[/tex]
Identify the value of r and a1 for each geometric
series.
2 + 3 + 4.5+ 6.75 + ...
Given:
The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]
We need to determine the value of r and a₁
Value of a₁:
The term a₁ denotes the first term of the geometric series.
Hence, from the given series, the first term of the series is 2.
Thus, a₁ = 2.
Therefore, the value of a₁ is 2.
Value of r:
The term r denotes the common ratio between the terms in the geometric series.
The value of r is given by
[tex]r=\frac{3}{2}=1.5[/tex]
[tex]r=\frac{4.5}{3}=1.5[/tex]
[tex]r=\frac{6.75}{4.5}=1.5[/tex]
Thus, the value of r is 1.5
Answers:
1) 1.5 , 2
2) 0.5 , 8
explanation:
just did this :)