Answer:
Step-by-step explanation:
3x = y ------------(I)
y = 2x + 22 ---------------(II)
Substitute y = 2x + 22 in equation (I)
3x = 2x + 22 {Subtract 2x form both sides}
3x -2x = 22
x = 22
Plugin x = 22 in equation (I)
3*22 = y
y = 66
Answer:
Step-by-step explanation:
3x = y
y = 2x + 22
3x = 2x + 22
3x -2x = 22
x = 22
3x22 = y
66=y
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
What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.
Answer (assuming it can be in slope-intercept format):
[tex]y = -\frac{3}{5} x+7[/tex]
Step-by-step explanation:
When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or [tex]y = mx + b[/tex].
1) First, find the slope of the equation. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. Substitute the x and y values of the given points into the formula and simplify:
[tex]m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}[/tex]
Thus, the slope is [tex]-\frac{3}{5}[/tex].
2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation [tex]y = mx + b[/tex]. Substitute [tex]m[/tex] and [tex]b[/tex] for real values.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex] in its place in the equation. Since [tex]b[/tex] represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:
[tex]y = -\frac{3}{5} x+7[/tex]
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
what is (6.648 x 10 to the power of 9) - (2.9 x 10 to the power of 7) in scientific notations
Answer:
6.651*10^9
Step-by-step explanation:
6.68*10^9-2.9*10^7
You can factor out 10^7 to get
(6.68*10^2-2.9)*10^7
(668-2.29)*10^7
665.71*10^7
Scientific notation would be 6.651*10^9
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.
if Luis had 7 fishes and he gave 2 away how many would he have left?
Answer: 5
Step-by-step explanation: unless this was somehow a trick question
PLS HELP ASAP I NEED RN ILY
Answer:
A Hope this helps
Step-by-step explanation:
if you help me I would be really happy
Answer and Step-by-step explanation:
The measure of angle D is 64.
This is true by the vertical angles theorem, which states that angles that are vertical to each other, they are equal.
#teamtrees #WAP (Water And Plant)
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.
How do I answer this—
Answer:
angle 2 = 87 degrees
" /_ 2=87° "
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
Calculate the pressure using the formula
p=1.03 + Mass on Syringe/Area of Top of Syringe
Pressure: 1.03
X = 1.18 kg/cm²
COMPLETE
Measure the volume of the gas in the syringe.
Estimate it to the nearest 0.5 mL. 43.5 mL
COMPLETE
Compute the product op.V.
Answer: 47.5
Step-by-step explanation:
Answer:
PRESSURE: 1.08 kg/cm
VOLUME OF THE GAS: 47.5ML
THE PRODUCT OF P x V: 51.3
Step-by-step explanation:
RATE AND THANK IF IT HAS HELPED YOU!
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:
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:
Find the missing angle.
Answer:
90°
Step-by-step explanation:
40+50+x=180
x=90
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Answer:A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Step-by-step explanation:
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Answer:
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Step-by-step explanation:
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 :)
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).
Howard Earned a total of 12$ by selling 8 cups of lemonade. How many ups of lemonade does Howard need to sell in all to earn 21$?
Answer:
Step-by-step explanation:
(12 dollars)/(8 cups) = (12/8 dollars)/cup = (1.5 dollars)/cup
21 dollars × (1 cup)/(1.5 dollars) = 21/1.5 cups = 14 cups
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
Pls help what do I put for the answer
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]
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
A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.85 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?
Answer: 0.49 mi
Step-by-step explanation:
First find the half circumference of the circular pond as this will show the total distance your friend has to walk:
= (π * diameter) / 2
= (22/7 * 0.85) / 2
= 1.34 mi
Your friend is going to walk 1.34 and you will walk 0.85.
Difference is:
= 1.34 - 0.85
= 0.49 mi
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
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10 A tourist wants to spend at most $3,500 on a cross-country adventure. The tourist has already spent $75.
If the tourist has 10 weeks left in the trip, which inequality and graph represent the maximum amount of money m the
tourist can spend per week to stay within budget?
m s 342.5
338
339
340
341
342
343
344
345
346
ms 342.5
A++
338
339
340
341
342
343
34
345
346
m 2 342.5
+++→
344 345 346
338
339
340
341
342
343
m2 342.5
A++
338
339
340
341
342
343
344
345
346
Answer:
this makes no sense
Step-by-step explanation:
What is the value of x in reduced radical form? (us sqrt)
Answer:
sin theta= p/h
here, 40√3/x=x sin 60
40√3/x=x √3/2
40/x= x/2
x^2=80
=√80=4√5
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
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
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