a. The ratio between the lengths of two
pieces of lumber is 2:3. The longer piece is
21 ft long. How long is the shorter piece?
Help me please
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
The distance a spring will stretch varies directly with how much weight is attached to the spring if a spring stretches 11 inches is 75 pounds attached how far will it stretch with 65 pounds attached round to the nearest 10th of an inch
Answer:
the weight that attached to the spring is 9.5 inches
Step-by-step explanation:
The computation is shown below:
inches per pound is
= 11 inches ÷ 75 pounds
Now for 65 pounds, it would be
= 11 inches ÷ 75 pounds × 65 pounds
= 9.5 inches
Hence, the weight that attached to the spring is 9.5 inches
The same is relevant and considered
A bacteria culture starts with 900 900 bacteria and grows at an exponential rate. After 4 4 hours there will be 3600 3600 bacteria. Give your answer accurate to at least 4 decimal places.
Answer:
R = 41.42% (Approx)
Step-by-step explanation:
Given:
Current bacteria P = 900
Future bacteria A = 3,600
Amount of period = 4 hour
Find:
Growth rate r
Computation:
A = p[1+r]ⁿ
3,600 = 900[1+r]⁴
4 = [1+r]⁴
1.4142 = 1+r
r = 0.4142
R = 41.42% (Approx)
i need help with this question
9514 1404 393
Answer:
11/20
Step-by-step explanation:
It is appropriate to "invert and multiply".
[tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]
A hiker travels at 2.8 miles per hour at a heading of N49°W from a ranger station. After 4 hours, how far north and how far west is the hike from the ranger station?
Answer:
Step-by-step explanation:
The diagram showing the pictorial view is attached below.
From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:
h = 2.8 mi/hr × 4 hr
h = 11.2 mi
Using the trigonometric function;
The distance of how far North is the hike from the ranger station can be determined by using the function of Sin θ
[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]
x = Sin 41 (11.2)
x = 0.6561(11.2)
x = 7.34832
x ≅ 7.35 miles
The distance of how far west the hike from the ranger station is calculated by using:
[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]
y = 0.7547 × (11.2)
y = 8.45 miles
Perform the indicated operation. (2x + y)^2
Answer: 2x^2 + y^2
Hope this helps :)
Answer please I’ll give extra points !
The length of a cell phone is
1.4 inches and the width is
4.4 inches. The company making the cell phone wants to make a new version whose length will be
1.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
The width of new phone = 5.5 inches
Step-by-step explanation:
Given that:
Length of cell phone = 1.4 inches
Width of cell phone = 4.4 inches
Ratio of length to width = 1.4 : 4.4
Length of new version = 1.75 inches
Width of new version = x
Ratio of length to width = 1.75 : x
As the relation is proportional;
[tex]1.4:4.4 ::1.75:x[/tex]
Product of mean = Product of extreme
4.4 * 1.75 = 1.4x
7.7 = 1.4x
1.4x = 7.7
Dividing both sides by 1.4
[tex]\frac{1.4x}{1.4}=\frac{7.7}{1.4}\\x=5.5\\[/tex]
Hence,
The width of new phone = 5.5 inches
Figure VWYX is a kite.
Kite V W Y X is shown. Sides V W and W Y are congruent, and sides V X and Y X are congruent. Angles V and Y are right angles. Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.
What is the measure of angle VXY?
72o
74o
106o
108o
Answer:
B 74
Step-by-step explanation:
right on edge
The solution is, The value of x is 6.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have.
given that,
Figure VWYX is a kite.
Sides V W and W Y are congruent, and sides V X and Y X are congruent.
Angles V and Y are right angles.
Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.
The total of angles in any quadrilateral is 360°.
Angles V and Y are 90° each,
so the total of W and X must be 180°.
we have,
(18x -2) +(12x +2) = 180
30x = 180
x = 180/30
= 6
The value of x is 6.
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Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan’s car get per gallon? Write an equation that would solve this problem.
3 divided by 1/2
What’s the answer
Answer:
I think its 6
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
Hey there! If you have any questions feel free to leave them in the comments below
3 ÷ [tex]\frac{1}{2}[/tex] = 6
You should flip the reciprocal and then multiply it by 3. 3 * 2 would = 6.
~I hope I helped you :)~
How can you get the sugar out of the sweet tea?
Answer:
use the thingy with the holes I guess
Michael has been saving his money and wants to invest it. After doing some research, he has decided to invest $20,000 into a Certificate of Deposit. The interest rate on the CD is 3% with a term of five years, and the interest is paid out annually. Based on recent inflation, Michael is planning on an annual inflation rate of 2%. How much interest will Michael earn on this CD in the first year, based on the real interest rate? $200 $600 $1,000 $1,400
IT IS NOT $600!!! THE CORRECT ANSWER IS $200 ON EDGE2020
Answer:
Interest earned= $200
Step-by-step explanation:
Giving the following information:
Initial investment= $20,000
Interest rate= 3%
Inflation rate= 2%
First, we need to calculate the real interest rate. The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.
Real interest rate= 0.03 - 0.02= 0.01
Now, we can calculate the interest earned in year 1:
Interest earned= PV*(1+i)^n - PV
Interest earned= 20,000*(1.01^1) - 20,000
Interest earned= $200
Answer:
200
Step-by-step explanation:
a bus traveled 60 km of north of its terminal. From this point, it traveled km east. How far is the bus from the terminal?
maybe 61km from northeast
Dana had 92€ until she spent 1 quarter. How much money does dana have now?
Answer:
67
Step-by-step explanation:
because a quarter is 25 cent and dana had 92 so all u have to do is take away 25 and you will get 67
Need this now plz
The formula for the area of a rectangle is A = l ∙ w, where A = area, l = length and w = width.
The area of a rectangle with a length of 12 inches and width of 5 inches is _____ square inches.
For the open space
A 34
B 17
C 60
Answer:
c.60
Step-by-step explanation:
12 x 5 = 60
Answer:
now you can give them brainlest
A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.
Answer:
V(d) = 50d + 250 us the answer
The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.
The equation for the function can be framed as follows:
Per day expense = 40 + 10 = 50
Fixed expense = 250
V(d) = 5d + 250
Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
Learn more about the function here:
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Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.
Answer:
Answer is C
Step-by-step explanation:
A scenario describing the inequality {d ≤ 16} is given below.
What is inequality?An inequality compares two or more numbers or expressions with one another. For example -
2x + 4y > 7
2x + 5y < 6
Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.
A scenerio to represent this inequality is -
" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."
Therefore, we can represent the given inequality as a scenario mentioned above.
To solve more questions on inequality, visit the link below
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Stefan sells Jin a bicycle for $115 and a helmet for $16. The total cost for Jin is %110 of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
The answer is below
Step-by-step explanation:
a)
Amount Stefan sold the bicycle and helmet to Jin = cost of bicycle + cost of helmet = $115 + $16 = $131
This amount that Jin bought both bicycle and helmet is 110% of what Stefan spent originally to buy the bike and helmet.
Let x = what Stefan spent originally to buy the bike and helmet = original price. Hence:
110% of x = $131
(110 / 100) * x = 131
1.1x = 131
x = $119.09
b)
Hence the profit made from selling the bike = $131 - $119.09 = $11.91
Chloe is making brownies that call for 4 large eggs to make 16 brownies. How many eggs will she need if she wants to make 40 brownies but keep the same great recipe flavor ?
Answer: 10 eggs
Step-by-step explanation:
you need to divide 40 by 16 then you multiply that by 4 and you get 10.
the correlation between years of education and salary in a sample of 20 people from a certain company is .4. is this correlation statistically significant.
Complete Question:
The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?
Answer:
We accept [tex]H_o[/tex] hence no significant evidence
Step-by-step explanation:
From the question we are told that
sample correlation n= 20
population correlation = 4
level of significance [tex]\alpha =0.05[/tex]
Generally we are task to understand existing difference between sample correlation and population correlation
Generally null hypothesis is given by [tex]H_o : p=0[/tex]
alternative hypothesis [tex]H1_1 : p\neq 0[/tex]
generaly the mathematical representation of test statics
[tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]
[tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]
[tex]t= 1.85[/tex]
Generally for table the p value is given by [tex]p= 0.08056[/tex]
p value > the null hypothesis
Therefore
We accept [tex]H_o[/tex] hence no significant evidence
Solve the following polynomial:
(
x
−
2
)
2
(
x
+
2
)
4
(
x
−
5
)
2
Answer: 16 • (x - 2) • (x + 2) • (x - 5)
Step-by-step explanation: 1
(((2•(x-2)•(x+2))•4)•(x-5))•2
STEP
2
:
Equation at the end of step 2
((2•(x-2)•(x+2)•4)•(x-5))•2
STEP
3
:
Equation at the end of step 3
(8 • (x - 2) • (x + 2) • (x - 5)) • 2
STEP
4
:
Equation at the end of step 4
8 • (x - 2) • (x + 2) • (x - 5) • 2
STEP
5
:
Final result :
16 • (x - 2) • (x + 2) • (x - 5)
hi im 29 yrs of age and just going back to school torecieve my hs diploma.i have 2 subjects left which is math and writing.im having a problem with adding fractions.one of the math problems are 3 1/7 + 6 4/7 i came up with 9 5/7 but im not sure this is correct
Answer:
yup your answer is correct
Step-by-step explanation:
xhfdgkdhkchkdgjdgkfkyfgkfhg
Answer:
it's correct and i'm 13
if u add the whole numbers first which is 3+6 which equals 9 and then u add 1/7 + 4/7 which will give you 5/7. So the whole answer will be what you said 9 5/7
96 cm
с
B
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
cm
AB =
Answer:
The length of AB is 48 centimeters.
Step-by-step explanation:
According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:
[tex]\sin C = \frac{AB}{AC}[/tex] (1)
If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:
[tex]AB = AC\cdot \sin C[/tex]
[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]
[tex]AB = 48\,cm[/tex]
The length of AB is 48 centimeters.
Select the correct answer from each drop-down menu. Quadrilateral ABCD is translated 7 units down and 2 units to the right. The length of side AB of the original quadrilateral is units. After the translation, the length of side AB will .
Answer:
select the correct answer from each drop-down menu. quadrilateral abcd is translated 7 units down and 2 units to the right. the length of side ab of the original quadrilateral is units. after the translation, the length of side ab will .
A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?
Answer:
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...
Help me answer the question in the attached document pleaseeee
Answer:
1. Yes
2. No
3.No
Step-by-step explanation:
Algebra 2 2.11 system of Linear inequalities
Answer:
Constraints;
T + F ≤ 2000
4t ≥ F
T ≥ 0
F ≥ 0
Step-by-step explanation:
T- Technology stock
F - food stocks
T + F ≤ 2000
4t ≥ F
T ≥ 0
F ≥ 0
Now one has to use linear programming to solve this problem.
Peng bought 26 treadmills for her new fitness center at $1,334 each. Then, she bought 19 stationary bikes for $749 each. How much did she spend on her new equipment? Write an expression, and then solve.
Answer:
(26 x $1,334) + ( 19 x $ 749) = $48,915
Step-by-step explanation:
All together she spent $45,915. She spent $34, 684 on treadmills and $14,231 on Stationary bikes.
hope this helps. If it does please mark me the brianliest!
Peace and Love
A caterpillar moves across the grass at a rate of 423 feet every 7 minutes. How fast does the caterpillar move in feet per minute?