Answer:
14 feet
Step-by-step explanation:
Let the shorter piece have length x.
Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.
Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.
Thus, the shorter piece is 14 feet.
I hope this helps! :)
the shorter piece is 14ft long
Step-by-step explanation:
let the shorter piece be x
longer piece will be x:21
ratio of two pieces= 2:3
2:3=x:21
2/3=X/21
then cross multiply
21×2=3x
42/3=3x/3
X=14
2:3=14:21
hope it helps
a scale drawing has a scale of 1/4 in. :6ft.find the length of the drawing for each actual length.
The circled one.
Answer:
2 3/4 in.
Step-by-step explanation:
66/6 = 11
11(1/4) = 11/4
11/4 = 2 3/4
16a2-400b2
factorize the expression
Answer:
[tex]16(a + 5b)(a - 5b)[/tex]
Step-by-step explanation:
[tex]16 {a}^{2} - 400 {b}^{2} [/tex]
[tex] = > {(4a)}^{2} - {(20b)}^{2} [/tex]
[tex] = > (4a + 20b)(4a - 20b)[/tex]
Taking 4 common from each expression gives,
[tex] = > 4(a + 5b) \times 4(a - 5b)[/tex]
[tex] = > 16(a + 5b)(a - 5b)[/tex]
Craig likes to collect video records last year he had 10 records his collection now has 12 records what is the percent increase of his collection
9514 1404 393
Answer:
20%
Step-by-step explanation:
The percentage change in a value is calculated from ...
percent change = ((new value) -(old value))/(old value) × 100%
For your given numbers, this is ...
percent change = (12 -10)/10 × 100% = (2/10)×100% = 20%
Craig's record collection increased by 20%.
Mrs. Parker misplaced 10% of her brooches in May. She misplaced
another 10% of her brooches in June but managed to find 10% of the
brooches that she misplaced in May. What percentage of her brooches did she have at the end?
Answer: She has 90% of her brooches at the end
Step-by-step explanation:
If she lost 10% of her brooches then 90% will be left, and another 10% will make it 80% left bus since she managed to find 10% then 10% plus 80% will be 90%.
What is the magnitude of -5.8
please friend complete your answer
Using the number line above, select the number that would be the opposite of Point T.
Answer:
-8
Step-by-step explanation:
i feel its correct
A rectangle has an area of 18 square units. What can be said of its height and width? Check all that apply.
A.
The height could be 1 and the width 18.
B.
The height could be 3 and the width 6.
C.
The height could be 6 and the width 3.
D.
The height could be 8 and the width 10.
Answer: A, B, and C
Step-by-step explanation:
Area = Length x Width
A. With these dimensions, the area would be 18 sq units
1 * 18 = 18
B. With these dimensions, the area would be 18 sq units
3 * 6 = 18
C. With these dimensions, the area would be 18 sq units
6 * 3 = 18
D. With these dimensions, the area would be 80 sq units
8 * 10 = 80
Helppppp plsssssss is due at 11:59
Answer:
x = 18
Step-by-step explanation:
Given that m is parallel to m, therefore:
(7x - 7)° = (6x + 11)° (alternate exterior angles are congruent)
Solve for x
7x - 7 = 6x + 11
7x - 6x = 7 + 11
x = 18
5.
Complete the table of values for y = -2x + 11.
Please help ❤️
Answer:
In the explanation
Step-by-step explanation:
x = 0, y = -2*0+11=11
x = 1, y = -2*1+11=9
x = 4, y = -2*4+11=3
Hope this helps!
Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers
Answer:
Answer below
Step-by-step explanation:
Rational:
36
7/16
81
Irrational:
120
48
pi
The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:
Rational numbers:
√36 = 6
7/16
√81 = 9
Irrational number:
√120
√48
π
Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
Learn more about the irrational number here:
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Erin wants to equally divide oatmeal bars among 5 friends. If she has 12 bars, how many bars will each friend receive
Answer:
each friend will receive 2 oatmeal bars and their will be 2 leftover.
Step-by-step explanation:
To test a theory of fruit flies reaching a carrying capacity, the Laurel Springs Science Club creates an environment that will attract fruit flies to a 2-cup glass jar in which is placed food and a stimulus for the fruit flies to lay eggs. The students track the population growth of the fruit flies and find the following equation to fit the growth: P(t) = 230 / 1 + 5.6 5e ^ -0.37 t
1) Determine the initial population.
2 )What is the population after 5 days?
3)How long does it take for the population to reach 180?
4) How long does it take for the population to reach one-half of the carrying capacity?
Tell msrkmark me brainlist please.
The answer is yes 4th one 8s your answer.
Step-by-step explanation:
because I like to make sure that people pass
True or false: Some irrational numbers are also rational numbers
Answer: False.
Step-by-step explanation: Rational and irrational numbers are the opposites of each other. If a number is rational, it cannot possibly be irrational.
Think about it this way, can a negative number be both negative and positive? No, of course not. This is the exact same concept, albeit using rational and irrational instead of positive and negative. Still, a number can only be one or the other, never both.
A large bucket holds 5 gallons of water, which is about the same as 19 liters of water.
A small bucket holds 2 gallons of water. About how many liters does it hold?
Gallons of water Liters of Water
5 19
1
2
7.6
plz answer quickly
Answer:
7.6
Step-by-step explanation:
19/5 = 3.8
So,
3.8 x the amount of gallons = the amount of litres
If we have 2 gallons, then,
3.8 x 2 = 7.6
Answer:
7.6
Step-by-step explanation:
Add it
help please help mesda
Answer:
25, 25, 22.5, 22
Step-by-step explanation:
It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.
We are given all of these values:
x -> 2, 3, 4, 5
y -> 50, 75, 90, 110
Use the formula given and solve for K.
50/2 = 25
75/3 = 25
90/4 = 22.5
110/5 = 22
Best of Luck!
45587000 in standard form
Answer:
4.5587
Step-by-step explanation:
this is because standard form of numbers are supposed to be 1 and 9
Answer:
4 .5587 * [tex]10^{7}[/tex]
determine whether p^2+14p+49 is a perfect square trinomial. Justify your answer.
Answer:
(p+,7)2 the number 2 is to be above 7 hope this helps
Write an equation to represent this word problem.
You do not need to solve.
“2 less than 7 times a number is equal to 4 more than 8 times the number.”
Answer:
2-7X=4+8X
Step-by-step explanation:
What is the square root of 160
Answer:
The square root is 12.649.....
Find the value of x, showing all steps. (3 pts.)
Answer:
11
Step-by-step explanation:
42 + 39= 81 and you need to get to 180 so the 3rd angle would be 99 so 99 dived by 9 is 11 so x=11
At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards
Check comments for multiple choice answers
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
[tex]v=t^2-5t+4 ,\, t\geq0[/tex]
Is the velocity is positive (v>0), then our object will be moving forwards.
And if the velocity is negative (v<0), then our object will be moving backwards.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
[tex]v<0[/tex]
By substitution:
[tex]t^2-5t+4<0[/tex]
Solve. To do so, we can first solve for t and then test values. By factoring:
[tex](t-4)(t-1)=0[/tex]
Zero Product Property:
[tex]t=1, \text{ and } t=4[/tex]
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]
So, the (only) interval for which v is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Which ordered pair is a solution of the equation? 3x + 3y = -x + 5y
Answer:
Undefined
Step-by-step explanation:
Without option choices, I don't know what the answer could potentially be.
I got X=.5y, and while solving for Y, I came up with 4.5y=4.5y
It has been a few years since I have done this, but I believe the answer is undefined.
Use the order of operations to simplify the expression. 5 + 21 ÷ 7 x 2 - 3
The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 68
Answer:
[tex]P(-2<Z<2)=95\%[/tex]
Step-by-step explanation:
From question we are told that
Sample mean [tex]\=x= 47[/tex]
Standard deviation [tex]\sigma =7[/tex]
Generally the X -Normal is given as
[tex]Z=\frac{x-\=x}{\sigma}[/tex]
[tex]Z=\frac{x-47}{9}[/tex]
Analyzing the range
[tex]P(47<x<65) = P(0< z<2.00)[/tex]
[tex]P(47<x<65) = 95/2[/tex]
[tex]P(47<x<65) = 47.5\%[/tex]
Mathematically
[tex]Z_1 =\frac{47-47}{9} =0[/tex]
[tex]Z_2 =\frac{65-47}{9} =2[/tex]
Empirical rule shows that
[tex]P(-2<Z<2)=95\%[/tex]
A resistor utilized in a critical electronic component is required to have a resistance of 45 ohms /- 0.32 ohms. The current manufacturer of this resistor has found that its manufacturing process produces a mean value of 50 ohms and has a standard deviation of 0.16 ohms. What would be the C P of this process
Answer:
The value is [tex]CP = 0.667[/tex]
Step-by-step explanation:
From the question we are told that
The resistance is [tex]R = 45 \pm 0.32\ \Omega[/tex]
The mean is [tex]\mu = 50 \Omega[/tex]
The standard deviation is [tex]\sigma = 0.16 \Omega[/tex]
Generally the upper limit of the resistance specified in the question(i.e upper specification limit (USL )) is
[tex]USL = 45 + 0.32 = 45.32 \ \Omega[/tex]
Generally the lower limit of the resistance specified in the question(i.e lower specification limit (USL )) is
[tex]LSL = 45 - 0.32 = 44.68 \ \Omega[/tex]
Generally the CP of the process of manufacturing the resistor is mathematically represented as
[tex]C P = \frac{ USL - LSL }{ 6 * \sigma }[/tex]
=> [tex]CP = \frac{45.32 - 44.68 }{6 * 0.16}[/tex]
=> [tex]CP = \frac{0.64 }{0.96}[/tex]
=> [tex]CP = 0.667[/tex]
find the selling price for the item flash drive: $12 markup:35%
Answer:
16.2
Step-by-step explanation:
12*1.35=16.2
(can I get brainliest pls)
Let f(x) be a continuous function such that f(1)=2 and f(x)= x^3+6 and What is the value of f(5)?(A) 11.446 (B) 13.446 (C) 15.446 (D) 24.672 (E) 26.672 fx x f5
Answer:
the value of f(5) is 26.672
Option (E) 26.672 is the correct answer
Step-by-step explanation:
Given that;
f(1) = 2 and f(x) = √( x³ + 6 )
f(5) = ?
f(5) = f(1) + ₁∫⁵ f'(x) dx
we substitute
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + 24.6719
f(5) = 26.672
Therefore the value of f(5) is 26.672
Option (E) 26.672 is the correct answer
The value of f(5) is 26.672
Continuous functions and drivativesGiven the following parameters
f(1) = 2
f(x) = √( x³ + 6 )
We need to calculate the value of f(5) as shown below
f(5) = f(1) + ₁∫⁵ f'(x) dx
Substitute the given parameters
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + 24.6719
f(5) = 26.672
Hence the value of f(5) from the solution is 26.672
Learn more on continuous function here: https://brainly.com/question/18102431
plz help! will give brainliest!!!!
Answer:
60
Step-by-step explanation:
2.094= hummingbird
176= elephant
176-2.094= 173.906
approximately it will be 60
60 is closer to 173.906 than 600.
Please help!!!!!!!!!
Answer:
Step-by-step explanation:
The point means that 15 pounds of beans cost 12 dollars.
What is the solution to the equation x+7/2=5x/3
The solution to the equation is x = 21/4
What is Linear Equation in 1 variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution
Given data ,
The equation is x + 7/2 = 5x/3
Subtracting 7/2 on both sides , we get
x = 5x/3 - 7/2
x = ( 10x - 21 ) / 6
Multiplying 6 on both sides , we get
6x = 10x - 21
Adding 21 on both sides , we get
6x + 21 = 10x
Subtracting 6x on both sides , we get
4x = 21
Divide by 4 on both sides , we get
x = 21/4
Hence , the solution for x + 7/2 = 5x/3 is x = 21/4
To learn more about linear equation in one variable click :
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