Answer:
Dan = 68
bobbi = 62
Step-by-step explanation:
Let Bobbi's height = b
Let Dan's height = d
the following equations can be determined from the question
b + d = 130 eqn 1
3b - d = 118 eqn 2
Multiply eqn 1 by 3
3b + 3d = 390 eqn 3
Substract eqn 2 from 3. this gives
4d = 272
d = 68
Substitute for d in eqn 1
b + 68 = 130
b = 62
simplify ..... 12x^2 / 9x^2y show work please
Answer:
4/3y
Step-by-step explanation:
Given the expression 12x^2 / 9x^2y
12x^2 / 9x^2y
= (3*4)* x * x/(3*3)*x*x*y
= 4x^2/3x^2y
= 4/3y
hence the simplified form is 4/3y
A parallelogram has an area of 364.5 cm2. If the base is 27 cm, what is the height? What is the perimeter?
Answer:
Height = 13.5 cm
Perimeter = 81 cm
Step-by-step explanation:
The Area of a parallelogram is given as the product of the base and its height.
A = base * height
Area, A = 364.5 cm²
Base, b = 27cm
Height, h =?
Hence,
364.5 cm² = 27cm * h
h = 364.5 cm² / 27cm
h = 13.5 cm
Perimeter of parallelogram :
P = 2(a + b)
a = height of sides ; b = base
P = 2(13.5cm + 27cm)
P = 2(40.5)
P = 81 cm
f(x) = x+2
g(x) = 3x
workout the value of gf(5)
Answer:
g(5) = 15 and f(5) = 7
Step-by-step explanation:
f(5) = x + 2
f(5) = 5 + 2
f(5) = 7
g(5) = 3x
g(5) = 3(5)
g(5) = 15
plz mark as brainliest if correct!!!
Answer:
21
Step-by-step explanation:
because firstly u substitute 5 into x in the f equation
so it will be f(x)=5+2=7
the substitute 7 into the g equation
so g(x)= 3 x 7= 21
In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
A chord of a circle is l cm long. The distance of the chord to the center of the circle is h cm and the radius of the circle is r cm. express r in terms of l and h
Answer:
r square = half of l square + h square
Step-by-step explanation:
I used phythogoras theorem to express r in terms of l and h
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
I need help with this problem. Can someone please tell me what the answer is?
Answer:
the answer is D hope that help
Answer:
The answer is D
Step-by-step explanation:
In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:
Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
---------------
Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)A paper bag is 16 cm long, 5 cm wide and 20 cm tall. Inside the bag is a box that is 8cm long, 3 cm wide and 10 cm tall. How much space is left in the bag?
volume of paper bag= 16×5×20=1600cmcube
volume of box= 8×3×10= 240
space left = 1600-240= 1360cmcube
hope it helps
In a triangle with vertices A,B and C, if C =64° and the lengths AC= 40mm and BC= 70mm find the length AB using cosine rule
Answer:
63.6mm
Step-by-step explanation:
According to cosine rule;
AB² = BC²+AC²-2(BC)(AC)cos m<C
Substitute the given values
AB² = 70²+40²-2(70)(40)cos 64
AB² = 4900+1600-5600cos64
AB² = 6500-5600(0.4384)
AB² = 6500-2,454.87
AB² = 4,045.12
AB = √4,045.12
AB = 63.6mm
Hence the length of AB is 63.6mm
if 500 pieces of something is a pound how much does 1 piece weigh?
Answer:
0.002 pounds
Step-by-step explanation:
1lb / 500 = 0.002 pounds
A town
has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
Answer:
The answers is 15840
Step-by-step explanation:
\text{Exponential Functions:}
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }14000
a=starting value = 14000
r=\text{rate = }2.5\% = 0.025
r=rate = 2.5%=0.025
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.025=1.025
b=1+r=1+0.025=1.025
\text{Write Exponential Function:}
Write Exponential Function:
y=14000(1.025)^x
y=14000(1.025)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=14000(1.025)^{5}
y=14000(1.025)
5
y= 15839.71498
y=15839.71498
Evaluate
y\approx 15840
y≈15840
round
Please help with a.
Do not use a calculator.
Answer:
0.0000016
Step-by-step explanation:
(8×10^-3)×(2×10^-4)
=8×10^-3 × 2×10^-4
= (8×2) × (10^-3 × 10^-4)
=16 × 10^(-3) + (-4)
= 16 × 10^ (-3-4)
=16× 10^(-7)
= 0.0000016
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?
Celia had 30 minutes to do a three-problem quiz. She spent 9 3/4 minutes on question A and 6 1/2 minutes on question B. How much time did she have left for question C?
Answer:
She has 13 and [tex]\frac{3}{4}[/tex] or 13.75 mins left for question c.
Step-by-step explanation:
first convert both fractions into an improper fraction to make it easier:
[tex]9\frac{3}{4} = \frac{39}{4}[/tex]
[tex]6\frac{1}{2} = \frac{13}{2}[/tex]
add both fractions, make sure both denominators are the same:
[tex]\frac{13}{2}[/tex] x 2 = [tex]\frac{26}{4}[/tex]
[tex]\frac{39}{4} + \frac{26}{4} = \frac{65}{4}[/tex]
convert back to a mixed fraction:
[tex]\frac{65}{4} =[/tex] [tex]16\frac{1}{4}[/tex]
subtract the answer from 30:
[tex]30 - 16\frac{1}{4} = 13\frac{3}{4}[/tex]
Celia has 55/4 minutes to do question C.
What is an improper fraction?A fraction is deemed improper if the numerator is more than or equal to the denominator.
Given, Celia had 30 minutes to do a three-problem quiz.
She spent 9 3/4 minutes on question A and 6 1/2 minutes on question B.
In order to solve the problem:
First, we convert mixed fraction to improper fraction.
That means, [tex]9\frac{3}{4}[/tex] = 39 /4 and [tex]6\frac{1}{2}[/tex] = 13/2
Now, the total time to do the quiz is 30 minutes.
That means,
time for question A + time for question B + time for question C = 30 minutes.
39/4 + 13/2 + time for question C = 30
time for question C = 30 - 39/4 - 13/2
time for question C = 55/4 minutes.
Therefore, She has left 55/4 minutes.
To learn more about the improper fraction;
brainly.com/question/21449807
#SPJ2
n is an integer with -5 < 2n <6
write down all the values of n?
Answer:
The values of n are less than 3 and more than (-5/2)
Step-by-step explanation:
The given inequality is :
-5 < 2n <6
We need to write the values of n.
Dividing both sides of the inequality by 2. So,
[tex]\dfrac{ -5}{2} < \dfrac{2n}{2} <\dfrac{6}{2}\\\\=\dfrac{ -5}{2}<n<3[/tex]
So, the values of n are less than 3 and more than (-5/2).
The square root of 14641 will have how many digits
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
One banana cost $30 how many do 80 bananas cost
Answer:2400 ...
Step-by-step explanation:
Two people paddle a canoe in a river flowing at a rate of 3 miles per hour, then they returned traveling upstream. The entire trip was 96 miles and the trip upstream took twice as long as the trip downstream. How fast did they row in still water? How many hours was the complete trip?
Answer:
72
Step-by-step explanation:
Answer:
speed in still water = 9 mph
total time = 12 hours
Step-by-step explanation:
speed = distance/time
distance = speed * time
Traveling downstream:
speed of river = 3 mph
speed of canoe in still water = v
speed of canoe going downstream = v + 3
distance = 96/2 = 48
time = t
distance = speed * time
48 = (v + 3)(t)
Traveling upstream:
speed of river = 3 mph
speed of canoe in still water = v
speed of canoe going downstream = v - 3
distance = 96/2 = 48
time = 2t
distance = speed * time
48 - d = (v - 3)(2t)
48 = (v + 3)(t)
48 = (v - 3)(2t)
vt + 3t = 48
2vt - 6t = 48
-2vt - 6t = -96
(+) 2vt - 6t = 48
------------------------
-12t = -48
t = 4
vt + 3t = 48
4v + 3(4) = 48
4v + 12 = 48
4v = 36
v = 9
speed in still water = v = 9 mph
total time = t + 2t = 3t = 3(4) = 12 hours
For the given right triangle, find the value x to the nearest tenth:
Answer:
x = 45.6
Step-by-step explanation:
cos 58 = x/86
86 cos 58 = x
x = 45.6
You must memorize the definitions of the trig functions and these problems will be easy for you. OK?
For example, cos of an angle = adjacent side/hypotenuse
What is the area of this figure?
Answer:
989 ft.
Step-by-step explanation:
7*13=91
91 is the first rectangles area.
13+6=19
19*17=323
323 is the second rectangles area.
25*23=575
575 is the third rectangles area.
575+323+91=989
HELLPP PLZZ Which value from the set {3, 9, 24, 36} makes m(2^2 + 2^3 ) = 3 • 12 true?
Answer:
12*3 is 36 and (2^2 + 2^3 ) is 12 so you have to get 12 to 36
Step-by-step explanation:
which is 12 *3 so 3
Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all?
A.$6.75
B.$130
C.$140
D.$2700
Answer:
Step-by-step explanation:
A(5/100)=135
A=100(135)/5
A=$2700
Answer:
D
Step-by-step explanation:
5/100 = 135/x
Cross multiply
5 × x = 100 × 135
5x = 13500
Divide both sides by 5 to isolate the variable
x = 2700
$2700
Check work by plugging the x value into the equation
5/100 = 135/2700
Convert 5/100 so that it has the same denominator as the other fraction
5 × 27/100 × 27
135/2700
135/2700 = 135/2700
Do they equal?
Yes, so our answer is correct
y = (-3/2)x + 9 2x + 4y = 17 solve the system of equations
step by step
Answer:
x = 19/4 and y = 15/8
Step-by-step explanation:
Given:
y = (-3/2)x + 9
2x + 4y = 17
Move y to one side:
2x + 4y = 17
y = 17/4 - x/2
Solve for x:
(-3/2)x + 9 = 17/4 - x/2
x = 19/4
Substitute x to solve for y:
y = (-3/2)(19/4) + 9
y = 15/8
2(19/4) + 4y = 17
y = 15/8
vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2
Answer:B
Step-by-step explanation:
What is the product of a,b, and c?
Answer:
[tex] abc = - \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]
Find the Vertex given the Standard form
PLEASE OMG ITS DUE IN 9 MIN
y = -7x^2+x-112
Answer:
[tex]\frac{1}{14}[/tex],[tex]-\frac{3135}{28}[/tex]
Step-by-step explanation:
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
I want to switch from online school to in-person school next school year and my mom wants to know why and I just think it would be fun but I can't tell her that so what do I say???? Please Help!
Answer:
just tell her that you want to see your friends again or say that you think it will have a better effect on your grades. you could say that it would be eaiser to pay attention in class and that CV cases are droping so it would be still be safe to go.
Step-by-step explanation:
Hope this helps!
Answer:
I have already switched from online to in-person, and I would say it was a pretty great decision. Some points you could bring up are ;
o It'll help your grades. (Personally, I was really struggling with my grades while doing online but, as soon as I switched my grades raised quick!)
o You miss your friends, or just seeing humans lol. (It's been almost an entire year we've been on lockdown! No one can see friends, or people in general. If you look it up, its this has taken a big toll on people's mental health.)
o Just to be able to get out of the house for a few hours. (We've been stuck inside with nothing to do besides, sit and do school and spend all of our time looking at our screens. Just tell her it's to much and you need a break.)
Hope this helps !!