B 56
Step-by-step explanation:
Three years ago A's age was double of B's
age. Seven years hence, the sum of their
ages will be 83 years. Find the present
age of A?
Answer:
present Age of " A " will be (x) = 45 years
present Age of " B " will be (y) = 24 years
Step-by-step explanation:
Age of " A " = x years
Age of " B " = y years
(Three years ago A's age was double of B's age.)
==> (x-3) = 2 * (y-3)
==> x - 2y = -6 + 3
==> x - 2y = -3 -------------(1)
(Seven years hence, the sum of their ages will be 83 years )
==> (x+7)+(y+7) = 83
==> x + y = 83 - 14
==> x + y = 69 ------------(2)
Subtract equ.(1) & equ(2)
==> -2y - y = -3 - 69
==> -3y = -72
==> y = -72/(-3)
==> y = 24
Keep value of y in equ(2)
==> x + 24 = 69
==> x = 69 - 24
==> x = 45
Find the value of x. Round to the nearest tenth.
Answer:
x = 22.1°
Step-by-step explanation:
Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad
Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad
Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad
Item 4
In "My Father Is a Simple Man," how does the author develop the speaker's viewpoint toward his father?
by comparing the speaker's father with the other fathers in town
by emphasizing the fact that the speaker's father is complex and difficult to approach
by highlighting the speaker's father's work ethic, kindness, and inner strength
by recognizing that the speaker's father is beloved by the entire community
Answer:
he is an ordinary man because that is what the speaker is talking about
Answer:
The story develops the character of the speaker's father to keep things simple by not do anything extraordinary, not to compare himself to other fathers, is a devoted father on his devoted job, and is not judged by the community how or what he does in his job or the speaker.
One way an author can call attention to the order of events in a narrative is by using
setting
description
dialogue
transitions
The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5
Answer:
See answers below
Step-by-step explanation:
T59 = a+58d = -61
T4 = a+3d = 64.
Subtract
58d-3d = -61-64
-55d = -125
d =125/55
d = 25/11
Get a;
From 2
a+3d = 64
a+3(25/11) = 64
a = 64-75/11
a = 704-75/11
a = 629/11
T23 = a+22d
T23 = 629/11+22(25/11)
T23 = 1179/11
PLS ANSWER QUICK The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 percent of Monday’s attendance. Natasha is trying to figure out how many people will be in attendance. Her work is shown below.
Answer:
solution
100%=200
140%=?
=280
ayudaa para mañana !!
Answer:
ok bueno dejamr haber que ago
Answer:
2/5 > 1/3
9/20 > 13/30
17/12 < 22/15
Step-by-step explanation:
Encuentra un denominador común. por ejemplo, 2/5 y 1/3 tienen un denominador común de 15. 2/5 se convierte en 6/15 y 1/3 se convierte en 5/15. 6 es mayor que 5. ¡Espero que esto ayude y buena suerte!
The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged?
a. 9
b. 25/√9
c. 25
d. 203
e. 2,844
Answer:
203
Step-by-step explanation:
Sample size, n = 9
Mean weight, m = 203
Standard deviation = 25
Point estimate for the population mean weight of all black bears that are tagged `
The point estimate of the population mean ;
ΣX / n
Sum of sample / sample size ;
This is the mean value formula for the sample.
However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203
Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.
Given that:Total tagged adult female black bears in the national park = 2,844Sample size = 9Sample mean of body weight of female black bears = 203 pounds.To find:Point estimate of population mean weight of female black bears that are tagged.
Calculations and explanations:Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.
The sample mean is obtained by:
[tex]\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}[/tex]
Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.
Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.
Learn more about point estimate of population mean here:
https://brainly.com/question/20747890
Penny reads 13 pages per 1/4 hour, how many hours does it take penny to read a page
Answer:
1/52 of a hour lol
Step-by-step explanation:
Answer: 1/52 hour
Step-by-step explanation:
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment
Answer:
There were 70 choices for the four locations to apply the new ointment
Step-by-step explanation:
The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the four locations to apply the new ointment
Four locations from a set of 8. So
[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]
There were 70 choices for the four locations to apply the new ointment
Write the word sentences as an equation! Half of a number q is 14.
Answer:
q/2=14I hope this helped you :)
A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.
The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
What is area?Area is the amount of space occupied by a two-dimensional figure.
How to calculate the area of square?The area of square is the product of the length of each side with itself.
[tex]A = a^{2}[/tex]
Where,
A is the area of square
a is the length of the side of square
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cuboidvolume = length × breadth × height
According to the given question
We have
A box with the open top and square base.
Let x be the side of the box. And h be the height of the box
Also, the cost of material for the base is $8 and for side is $2 per square foot.
The total cost of material for the box is $2400
⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]
⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]
⇒[tex]x^{2} + xh = 300[/tex]
⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]
Therefore,
volume of the box
[tex]= x^{2} h[/tex]
= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]
= [tex]x(300-x^{2} )[/tex]
= [tex]300x - x^{3}[/tex]
for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]
⇒ [tex]300 - 3x^{2} =0[/tex]
⇒[tex]300 = 3x^{2}[/tex]
⇒ [tex]x^{2} =100[/tex]
⇒ x = ± 10
⇒ x= 10 feet (x = -10 not possible)
So, h = [tex]\frac{300-100}{10} = 20feet[/tex]
Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ2
15x > - 60
Help and I’ll give u brainlist :)
Answer:
most likely 1 or 20 but im not so sure tho
PLEASE HELP The value of x in A is _, and the value of y in B is_.
please help me get this answer
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
reduce a)95/75 b) 250/750 to its simplest form
Answer:
a) 19/15 b) 1/3
Step-by-step explanation:
in both the question I reduced the numbers with 5
Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
Miguel pays $42.99 per month at Be Fit Gym. Jina pays $215.94 every 6 months at
Main Street Gym. Which gym is more expensive? How much more does membership at
that gym cost each month?
I need a answer right now I’ll give you points!
Answer:
G. 118⁰100% right answer
Answer:
G. 118°
Step-by-step explanation:
Imagine a line, parallel to AD, that passes through B to a point x on the line CD.
∠CBX=∠CAD=28 (corresponding angles)
∠EBX=90 (BX║ED, BE║XD)
∠CBE=∠CBX+EBX
∠CBE=28+90
∠CBE=118°
How much should be invested at an interest rate of 5.5% for 20 years to obtain the accumulated amount of
$1,000,000 if the principal was compounded continuously?
Answer: $3004166.02
Step-by-step explanation: Alrighty then so first we need a formula to solve which is A=Pe^rt which is the compounded continously formula you can find online or a textbook. The formula you should use a calculator to solve is $1,000,000e^0.055(20)= $3,004,166.024
Your new computer cost $1,500, but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?
Answer: Nothing or 0
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
Milo has 5 rocks in his rock collection. He finds 40 rocks outside that he wants to put in his collection. If he places the rocks into boxes of 9, how many boxes of rocks will he have in his collection?
Answer:
puto el que lo lea
Step-by-step explanation:
jajajaja lol no
Answer:
5
Step-by-step explanation:
40+5=45. 45/9=5
At a recent soccer game at Red Bulls stadium, 7500 fans were rooting for the New England Revolution while 17,500 fans were rooting for the New York Red Bulls. What percent of the soccer fans were rooting for the New England Revolution?
Answer:
30%
Step-by-step explanation:
add the number of fans together: 7500+17500 = 25000
write as fraction, fans of New England Revolution over total number: 7500/25000
simplify or use calculator: 3/10 or 0.3
convert fraction or decimal to percentage: 30%
Which expression is equivalent to 7m + 5 + 6 + 3m?
A. 13m + 8
B. 10m + 11
C. 4m + 11
D. 4m + 8
PLEASE HELP ASAP
Answer:
B.10m + 11
....................
4x-5y=11 and 8x-5y=27
Answer:
y = -1 , x = 4
Step-by-step explanation:
(4x - 5y = 11) x8
(8x - 5y = 27) x4
32x - 40y = 88
- - -
32x - 20y = 108
[0. 20y = -20] divide both by 20
y = -1
8x - 5y = 27
8x - 5(-1) = 27
8x = 27 + 5
8x = 32 ( divide both by 8)
x = 4
4. It takes 2 minutes to boil a single
egg. How many minutes will it take
to boil 5 eggs?
a. 10
b. 4
c. 2
d. 5
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\#4). It takes 2 MINUTES to boil a SINGLE egg. How MANY minutes}\\\large\text{ to boil 5 eggs?}[/tex]
[tex]\large\text{\bf{Keyterm(s)}}\downarrow\\\large\text{\bf{2 minutes to boil ONE egg}}\\\large\text{\bf{Number of minutes it will take to boil FIVE eggs}}[/tex]
[tex]\textsf{Well, if one egg takes approximately two minutes, then we have we have to}\\\textsf{MULTIPLY 2 from 5, to find out your answer!}[/tex]
[tex]\large\text{\bf{2(5)}}\\\large\text{\bf{2 minutes * 5 eggs = 10 minutes to boil FIVE eggs}}\\\boxed{\boxed{\large\text{\bf{Answer: A. 10}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.
is it multipuction then do that the rest
hello hello I need help asap
Answer:
im not smart
Step-by-step explanation:
The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated two inches but one more inch of rain was added. By what day was the rain gauge free of water?
A. day 11
B. day 10
C. day 8
D. day 7
Answer:
10 days to free water from rain gauge
