Talha had $150. He spent 35% of his money on clothes and 15% on Perfumes. How much money did he spend on the two items?
$60
$75
$50
$85
Answer:
$75
Step-by-step explanation:
150 x 0.35 = 52.50
150 x 0.15 = 22.50
(or do 50% of whole total)
22.50 +52.50 = $75
Answer:
75
Step-by-step explanation:
since he spent a total of 50% of his money (35%+15%), then 50% of 150 is 75
6. A population of 200 bacteria has the perfect
conditions to double every 20 min. How
many bacteria will there be after each
amount of time?
a) 20 min
b) 60 min
c) 4 h
pls explain too!! ty
Jenny is 9 years younger than Sammie. Five years ago, Sammie was four times older
than Jenny. How old is each now?
Answer:
Jenny's age = 8 yr
Sam's age = 17 yr
Step-by-step explanation:
Let x = Jenny's age now
then x + 9 = Sam's age now
x - 5 = Jenny's age 5 years ago
x + 9 - 5 = x + 4 = Sam's age 5 years ago
4(x - 5) = x + 4
4x - 20 = x + 4
3x = 24
x = 8 = Jenny's age now
x + 9 = 8 + 9 = 17 Sam's age now
Check: 5 yrs ago Jenny was 3 and Sam was 12
4(3) = 12, so the answer is correct.
It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.
Answer:
300%
Step-by-step explanation:
Given
[tex]y\ \alpha\ \frac{1}{x^2}[/tex]
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
[tex]y\ = \ \frac{k}{x^2}[/tex]
Where k is the constant of proportionality
When x decreased by 50%
[tex]Y = \frac{k}{(x - 0.5x)^2}[/tex]
[tex]Y = \frac{k}{(0.5x)^2}[/tex]
[tex]Y = \frac{k}{0.25x^2}[/tex]
Expand
[tex]Y = \frac{1}{0.25} * \frac{k}{x^2}[/tex]
Substitute [tex]\frac{k}{x^2}[/tex] for y
[tex]Y = \frac{1}{0.25} * y[/tex]
[tex]Y = 4 * y[/tex]
[tex]Y = 4 y[/tex]
The percentage change is then calculated as:
[tex]\%Change = \frac{Y - y}{y} * 100\%[/tex]
[tex]\%Change = \frac{4y - y}{y} * 100\%[/tex]
[tex]\%Change = \frac{3y}{y} * 100\%[/tex]
[tex]\%Change = 3 * 100\%[/tex]
[tex]\%Change = 300\%[/tex]
The percentage in y is 300%
From the calculation, the percentage change in y is 300%.
From the statement of the question; y α 1/x^2 so introducing the constant of proportionality, we have; y =k/x^2 so k = x^2y.
We are then told that x is decreased by 50% hence;
Y = k/(x - 0.25x)^2
Y = k/(0.5x)^2
Y = 1/0.25 k/x^2
But k/x^2 = y so;
Y = 1/0.25 y
Y = 4y
Change = 4y -y/y * 100/1
= 300%
Learn more about percentage change: https://brainly.com/question/15308590
i dont know how to do this pls help
Answer:
1) 225
2) 2304
Step-by-step explanation:
1)
Use geometric mean of legs
[tex]x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225[/tex]
2)
Use geometric mean of altitude
[tex]x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304[/tex]
Kyle and Myles wanted to buy the soccer team food after the game.
Kyle bought 5 hotdogs and 3 French fries, which costs him $14.50. Myles bought 4 hotdogs and 2 French fries, which totaled as $11.00. How much does 1 hotdog cost?
Walkthrough your answer by showing your work
Set up 2 equations:
Kyle: 5h + 3f = 14.50
Myles: 4h + 2f = 11.00
Lets get the two h's to cancel out.
Multiply Kyle by 4 and Myles by -5:
Kyle: 20h + 12f = 58
Myles: -20h - 10f = -55
Now add the two equations together:
2f = 3
Divide both sides by 2:
f = 3/2
f = 1.50
1 french fry cost $1.50
Now solve for the price of a hot dog:
5h + 3(1.50) = 14.50
5h + 4.50 = 14.50
Subtract 4.50 from both sides:
5h = 10.00
Divide both sides by 5:
h = 2
One hot dog cost $2.00
Tyler spent a relaxing afternoon watching movies. He watched movies for 2 1/2 hours. His brother watched the movies for 3/4 of the amount of time that Tyler did. What equation can be used to find out how much time Tyler’s brother spent watching movies?
Answer:
1 3/4
Step-by-step explanation:
Frist he turned the proper fraction into an inproper which came to be 5/2. Then he subtracted 5/2 out of 3/4 Then after that you get 7/4 but then you make it a proper fraction you will get 1 3/4
Answer:
3/4 X 2 1/2
Step-by-step explanation:
The table shows two sequences of numbers.
Complete the sentences to describe how one sequence is related to the other.
The table shows two sequences of numbers.
The table shows two sequences of numbers.
Complete the sentences to describe how one sequence is related to the other.
The table shows two sequences of numbers.
The rule that describes how the number of T-shirts sold relates to the amount earned
is multiply by 6, multiply by 4 or add 10 The unknown number in day 5 is 57,60, or 58. please help
Answer:
You multiply by 6 and the 5th term is 60
Step-by-step explanation:
15*4 = 60
Answer:
multiply by 4 & the unknown number is 60
Step-by-step explanation:
3×4=12
6×4=24
9×4=36
12×4=48
15×4=60
To create a pattern with Legos, Jerry uses 5 green Legos for every 3 blue Legos. If he used 35 green Legos in the pattern, what is the TOTAL amount of Legos he used?
A.43 legos in all
B.8 legos in all
C.56 legos in all
D.21 legos in all
Answer:
56 legos in all
Step-by-step explanation:
35/5=7
7*3=21
21+35=56
Answer:
well i have legos in rl so i think the answer is C. or 56 legos in all
Step-by-step explanation:
A sculpture is in the shape of a square pyramid. The sculpture has a height of 6 meters and a volume of 50 cubic meters. Find the side length
of the square base.
Answer:
https://quizlet.com/140197143/surface-area-and-volume-surface-area-of-rectangular-pyramids-flash-cards/ an that don't work here is anyone https://quizlet.com/510425408/math-_7-unit-review-three-dimensional-geometry-flash-cards/
Step-by-step explanation:
Find the area of the figure shown below:
a
34 square units
b
220 square units
c
480 square units
d
960 square units
Answer:
.................hshs
PLEASE HELP ME I WILL GIVE 25 POINTS PLUS BRAINLIEST URGENT PLEASE HELP!
Determine if line DE is parallel to line AC
Answer:
YES
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
6 divided by 15 is 0.4
10 divided by 36 is 0.27
A fully loaded truck weighed 10 3/5 tons. After unloading, the truck weighed 3 2/3 tons. What was the weight of the load?
Answer:
14
Step-by-step explanation:
A fully loaded truck weighs 10 3/5 tons
After unloading the truck weighed 3 2/3 tons
Therefore the weight of the load can be calculated as follows
= 10 3/5 - 3 2/3
= 53/5 - 11/3
= 265-55/15
= 210/15
= 14
Hence the weight of the load 14
help plz its worth 100 points
Answer:
Step-by-step explanation:
hi, use y=mx+b to help solve
the equation is y= 6x+30, 6 being the cost per t-shirt and 30 being the fee
substitute x for the values on the left in the table. for example, y=0x+30 would give the total cost of 0 t-shirts 30 dollars
for some reson i cant see it
Solve the following equation using the quadratic formula.
2x² + 5x – 42 = 0
Select all solutions that apply.
x = 1.5
x= -4
OX= 3.5
x = -6
Sumira built a garden in her backyard that measured 29 inches by 40 inches and built a fence around it. Later on, she decided to change the size of It to 26 inches by 57 inches
How much extra fence does she need to buy to build around her new garden?
Find the perimeter of the old garden, and of the new garden. Then subtract to find the difference.
Help ASAP
Answer:
wposjolawjfi;WK;L
Step-by-step explanation:
FKNLEAKJNFOKFNWALLOFAW;
A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can
Answer:
6.75cm
Step-by-step explanation:
The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)
So, hypotenuse = length of straw = 22.5cm
perpendicular = 18cm
base = diameter of can(d)
Using pythagoras theorem
h² = p² + b²
(22.5)² = 18² + d²
506.25 = 324 + d²
d² = 506.25 - 324
d² = 182.25
d = 13.5cm
Now radius = d/2 = 13.5/2 = 6.75cm
The teacher gave 36 gold stickers to the first student, 45 gold stickers to the second student, 54 gold stickers to the third student, and 63 gold stickers to the fourth student. If this pattern continues, how many gold stickers will the teacher give to the fifth student?
Answer:
69
Step-by-step explanation:
the sequence is to add 6 to previous value
Happy House Cleaning Services charges a fee represented by the equation y=10x+20 Interpret the slope, and y-intercept of the linear function for Happy House Cleaning
Anyone help me? Please, whoever will be marked as brainliest.
Answer:
∠BAC=∠DAC(given)
AC=AC(common)
∠ACB=∠ACD( 90°each)(complementary angles)
So, ΔBAC≅ΔDAC (ASA)
Step-by-step explanation:
Pls mark me brainliest if u don't mind
Solve the following linear equation for x
5x−2+x=9+3x+10
Answer:
x = 7
Step-by-step explanation:
5x - 2 + x = 9 + 3x + 10
5x + x - 2 = 9 + 10 + 3x
5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)
3x - 2 = 19
3x = 19 + 2
3x = 21
x = 21 : 3
x = 7
A culture of bacteria has an initial population of 7100 bacteria and doubles every 2
hours. Using the formula P+ = Po · 2ả, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 15 hours, to the nearest whole number?
Answer:
Pt=1285237.2855≈ 1285237
YOUR WELCOME :)
Pls help what do I put for the answer
Which is more, 53 fluid ounces or 7 cups?
Answer:
7 cups
Step-by-step explanation:
1 cup = 8 fluid ounces
7 cups x 8 fluid ounces = 56 fluid ounces
56 is greater than 53
56 > 53
I need help with this problem please
n must be 0, since x ⁿ = 1 for all positive, real x if n = 0. So the answer is A.
Find the missing angle.
Answer:
90°
Step-by-step explanation:
40+50+x=180
x=90
In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 6 minutes. If both belts are used, find how long it takes to move the cans to the storage area.
Answer:
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Step-by-step explanation:
Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable
aluminum from the delivery truck to a storage area. A smaller belt
moves the same quantity of cans the same distance in 6 minutes.
To find - If both belts are used, find how long it takes to move the cans
to the storage area.
Proof -
Given that,
Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Larger belt = 4 min/ shifting
Also,
Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Smaller belt = 6 min/ shifting
Now,
As we know that Time is inversely proportional to time, so
Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min
Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min
Now,
Let us assume that , if both belts used then,
Total time taken = x min/shifting
Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min
Now,
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{x}[/tex]
⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]
⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]
⇒10x = 24
⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes
∴ we get
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
The awnser to a multiplication problem
Answer:
where is the problem?
Step-by-step explanation:
where
Can you help? Thanks!
Answer:
(7, 2).
Step-by-step explanation:
The median from A intersects BC at it's midpoint.
To find the midpoint of BC:
This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2) and where y1
= (sum of the y_values of B and C) / 2)
This is (2+12)/2, (1 + 3)/2
= (7, 2).