Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides will be in same ratio
[tex]2) \frac{x}{8}=\frac{30}{15}\\\\x =\frac{30}{15}*8\\\\x=2*8\\\x = 16[/tex]
[tex]3) \frac{x}{20}=\frac{12.8}{16}\\\\x = \frac{12.8}{16}*20\\\\x= \frac{128}{8}\\\\x = 16[/tex]
[tex]\frac{y}{10}=\frac{12.8}{16}\\\\y=\frac{12.8}{16}*10\\\\\\y=8[/tex]
[tex]4) \frac{x}{15}=\frac{8}{6.4}\\\\x=\frac{8}{6.4}*15\\x=18.75[/tex]
[tex]5) \frac{x}{12}=\frac{22.5}{9}\\\\x=\frac{22.5*12}{9}\\\\x= 30[/tex]
[tex]6)\frac{14}{8}=\frac{7}{4}\\\\\frac{12}{6}=\frac{2}{1}\\\\\frac{10}{5}=\frac{2}{1}[/tex]
As the ratio of corresponding sides are not proportion, these are not similar triangles
Question 6
A cylinder has a radius of 4 cm and a height of 5 cm.
What is the volume of the cylinder when its radius is halved?
TT cm3
Step-by-step explanation:
3
[tex]3 \sqrt{xy { - }^{2} } [/tex]
If 20 mL of medicine cost $2.00 to produce, then how much does 1L cost?
Answer:
$100
Step-by-step explanation:
1L has 1000ml, so 1000/20=50x$2.00=$100
I think
Hope this helps
:)
Line l passes through point (0, -1) and is parallel to the line whose equation is y = -2x + 7. Which equation best describes the graph of line l? a) y = -2x + 6, b) y = 2x + 6, c) y = 1/2x - 1, d) y = -2x - 1
Answer:
[tex]y = -2x -1[/tex]
Step-by-step explanation:
Given
Passes through: (0, -1)
Parallel to: y = -2x + 7
Required
Determine the line equation
If the line is parallel to y = -2x + 7, then it has the same slope as y = -2x + 7.
For an equation of form: [tex]y = mx + b[/tex]
The slope is m
By comparison:
[tex]m = -2[/tex]
So, the slope of the extorted is -2.
The equation is then calculated using:
[tex]y = m(x - x_1)+ y_1[/tex]
[tex]y = -2(x - 0)-1[/tex]
[tex]y = -2(x )-1[/tex]
[tex]y = -2x -1[/tex]
Given that R
7x + 7y
Find x when y : 2 and R= 8
Give your answer as a fraction in its simplest form.
X =
Step-by-step explanation:
r = 7x + 7y
8 = 7x + 7 ×2
8 = 7x + 14
7x = 14 - 8
7x = 6
X = 6 / 7
Answer:
it's clear right
Step-by-step explanation:
i hope it's helps
Three hermit crabs at a pet store cost $ 21.75 . If each hermit crab, h , costs the same amount, which equation can be used to find the cost per hermit crab correctly?
Answer:
Step-by-step explanation:
$21.75/(3 crabs) = $7.25/crab
A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?
Answer:
The distance is less than 216 inches.
Step-by-step explanation:
Each feet has 12 inches.
The large shelves in the storage area are 17 feet 8 inches apart
So, in inches, this distance is of:
17*12 + 8 = 212
This distance is less than 216 inches.
Daniel invests £2200 into his bank account.
He receives 5% per year simple interest.
How much will Daniel have after 2 years?
Answer:
I = $ 220.00
Step-by-step explanation:
I = $ 220.00
Equation:
I = Prt
Solve:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2200 × 0.05 × 2 = 220
I = $ 220.00
The simple interest accumulated
on a principal of $ 2,200.00
at a rate of 5% per year
for 2 years is $ 220.00.
8+y=18 как решить уравнения
Answer:
y=10
Step-by-step explanation:
8+y=18
(-8)
y=10
!!!!!!!!!!!
Answer:
ответ :y=10 я поставил объяснение
Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade? What is the ratio of liters of pineapple juice to liters of punch ?
Answer:
For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.
The ratio of liters of pineapple juice to liters of punch is 8:13
Step-by-step explanation:
13 - 8 = 5
5 divided by 5 is 1
8 divided by 5 is 1.6
Ella has $46 to spend at the State Fair. Admission is $9 and each ride costs $3. Enter an inequality to find the possible numbers of rides she can go on.
The inequality that represents the situation is
+
n
(select)
.
Answer:
she can go on 12 rides leavig 0.3 approx dollars
Step-by-step explanation:
46-9 is 37 and 37 by 3 is 12.3333 approx so she can only go on 12 rides
Answer:
6 + 3x ≤ 40
x≤11
Step-by-step explanation:
6 + 3x ≤ 40
-6 -6
3 x ≤ 34
3 x ≤ 3
x ≤ 11
simplify (2x+y)(3x²+2xy+5y²)
Answer:
Step-by-step explanation:
6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3
Solving like terms
6x3 + 7x2y + 12xy2 + 5y3
The simplified form of the expression is 6x³+5y³+12xy²+7x²y
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x+y)(3x²+2xy+5y²), we need to simplify it,
(2x+y)(3x²+2xy+5y²)
= 6x³+4x²y+10xy²+3x²y+2xy²+5y³
= 6x³+5y³+12xy²+7x²y
Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y
Learn more about expression, click;
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A fish tank is initially filled with 400 liters of water containing 1 g/liter of dissolved oxygen. At noon, oxygenated water containing 10g/liter of oxygen flows in at a rate of 5 liters per minute and the well-mixed water is pumped out at a rate of 7 liters per minute.Let A(t) represent the amount of dissolved oxygen in the tank at time t. a) Write the differential equation that represents the problem.b) Solve the differential equation. c) At 1 p.m., what is the amount of dissolve oxygen in the fish tank
Answer:
a. [tex]dA(t)/dt = 50 - \frac{7A(t)}{400} where A(0) = 400[/tex]
b. [tex]A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}[/tex]
c. 3.717 kg
Step-by-step explanation:
a) Write the differential equation that represents the problem.
Let A(t) be the amount of dissolved oxygen in the tank at any time, t.
The net flow rate dA(t)/dt = mass flow in - mass flow out
Since 10 g/l of oxygen flows in at a rate of 5 l/min, the mass flow in is 10 g/l × 5 l/min = 50 g/min
Since A(t) is the amount of oxygen present in the tank at time, t, and the volume of the tank is 400 liters. The concentration of oxygen in the tank is thus A(t)/400 g/l.
Also, water is being pumped out at a rate of 7 l/min. So, the mass flow out is thus concentration × flow rate out = A(t)/400 g/l × 7 l/min = 7A(t)/400 g/min
So, dA(t)/dt = mass flow in - mass flow out
dA(t)/dt = 50 - 7A(t)/400 with A(0) = 400 l × 1 g/l = 400 g since the tank initially contains 1 g/l of dissolved oxygen and has a volume of 400 l
So, the differential equation is
dA(t)/dt = 50 - 7A(t)/400 where A(0) = 400 g
[tex]dA(t)/dt = 50 - \frac{7A(t)}{400} where A(0) = 400[/tex]
b) Solve the differential equation
To solve the equation, we use separation of variables, so
dA(t)/dt = 50 - 7A(t)/400 where A(0) = 400 g
dA(t)/(50 - 7A(t)/400) = dt
Integrating both sides, we have
∫dA(t)/(50 - 7A(t)/400) = ∫dt
-7/400 ÷ -7/400∫dA(t)/(50 - 7A(t)/400) = ∫dt
1/ (-7/400)∫-7/400dA(t)/(50 - 7A(t)/400) = ∫dt
(-400/7)㏑(50 - 7A(t)/400) = t + C
㏑(50 - 7A(t)/400) = -7t/400 + (-7/400)C
㏑(50 - 7A(t)/400) = -7t/400 + C' (C' = (-7/400)C)
taking exponents of both sides, we have
50 - 7A(t)/400 = exp[(-7t/400) + C']
50 - 7A(t)/400 = exp(-7t/400)expC'
[tex]50 - \frac{7A(t)}{400} = e^{-7t/400}e^{C'} \\50 - \frac{7A(t)}{400} = Ae^{-7t/400} A = e^{C'}\\ \frac{7A(t)}{400} = 50 - Ae^{-7t/400} \\A(t) = \frac{400}{7} X 50 - \frac{400}{7} Ae^{-7t/400} \\A(t) = \frac{20000}{7} - \frac{400}{7} Ae^{-7t/400}[/tex]
when t = 0 , A(0) = 400. So,
[tex]A(t) = \frac{20000}{7} - \frac{400}{7} Ae^{-7t/400} \\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{-7(0)/400}\\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{0/400}\\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{0}\\A(0) = \frac{20000}{7} - \frac{400}{7} A\\400 = \frac{20000}{7} - \frac{400}{7} A\\\frac{400}{7} A = 400 - \frac{20000}{7}\\\frac{400}{7} A = \frac{2800}{7} - \frac{20000}{7}\\\frac{400}{7} A = -\frac{17200}{7}\\\\A = -\frac{17200}{7} X \frac{7}{400} \\A = -43[/tex]
So,
[tex]A(t) = \frac{20000}{7} - \frac{400}{7} X -43e^{-7t/400} \\A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}[/tex]
c) At 1 p.m., what is the amount of dissolve oxygen in the fish tank.
At 1 p.m, t = 60 min
So, the amount of dissolved oxygen in the fish tank is A(60)
So,
[tex]A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-7X60/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-420/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-1.05}\\A(60) = \frac{20000}{7} + \frac{17200}{7} X 0.3499\\A(60) = \frac{20000}{7} + \frac{6018.93}{7} \\A(60) = \frac{26018.93}{7} \\A(60) = 3716.99 g[/tex]
A(60) ≅ 3717 g
A(60) ≅ 3.717 kg
How do you find the term in a Aromatic sequence
Answer:
An =A1+(n-1)d
Step-by-step explanation:
the nth term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d
A1 is the first term
HELP ME PLSSS IM GIVING BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Pavan saves $x each month.His two brothers each save $4 more than Pavan each month.
Altogether the three boys save $26 each month.
(a) Write down an equation in x.
Answer:
a)(4+x) + (4+x) + x= 26
b) x=6
Step-by-step explanation:
pavan=x
brother 1=4+x
brother 2=4+x
brother 1=brother 2
a)
(4+x) + (4+x) + x= 26
b)
(4+x) + (4+x) + x= 26
=> 8+3x=26
=>
take 8 to 26
=>
3x=26-8=18
take 3 to 18 side
x=18/3=6
therefore pavan saves 6$ per month
there are 33 students for 3 classes how many are there per class
Atatürk ordular ilk hedefimiz Akdeniz ileri emrini aşağıdaki savaşlardan hangisinde vermiştir a Sakarya savaşı b 1. İnönü c 2. İnönü d büyük taarruz
Answer:
D şıkkı Büyük tarruz olmalı
1+1+2+8+10-36-36%12845+86%29?
The volume of the box is 448 ft'. Find its length and width.
4 ft
X-6
X
The box has a length of
ft and a width of
ft.
What is length and width
Answer:
hi
Step-by-step explanation:
Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.
hope this helps
Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
Find the measure of the numbered angles in each rhombus
Answer:
Step-by-step explanation:
I thought those lines mean that they are equal meaning that the number is 68.
How many cubes with side lengths of 1/3 cm does it take to fill the prism
Answer:
Answer:48 cubes
You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.
I hope it's helpful!
If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10
Answer:
A: 2
Step-by-step explanation:
EDGE 2021
Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.
What is a complex number?A complex number is modeled by:
z = a + bi.
In which:
a is the real part.b is the imaginary part.In this problem, the number is:
x = 3 + bi.
It's magnitude is given by:
[tex]|x| = \sqrt{3^2 + b^2}[/tex]
Then:
[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]
[tex]3^2 + b^2 = 13[/tex]
[tex]b = \pm \sqrt{4}[/tex]
[tex]b = \pm 2[/tex]
A possible value of b is of 2.
More can be learned about complex numbers at https://brainly.com/question/25572463
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the area of a room is 55.929 square meters if its width is 5.43 meters, what is its length
Answer:
10.3m
Step-by-step explanation:
area of a rectangle is width times length, so you have to rearrange the equation
55.929 ÷ 5.43 = 10.3
Answer:
10.3 meters
Step-by-step explanation:
Area = length x width
55.929 = ? x 5.43
Divide 5.43 from 55.929
55.929/5.43 = 10.3 meters
Check = 10.3 x 5.43 = 55.929
convert 6/20to decimal
In which number does the digit 9 have a value that is 1/10 of the value of the digit in 8.097
Jack can text 210 characters in 21 minutes. Write an expression for m minutes.
a. 10m
b. 210m
c. 21m
d. 12m
Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours
Answer:
b.5 hours
520-195=325
325/65=5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
........................ .....
Find the weighted mean.
2, 4, 6, 8, 1, 2, 4 and 5.
Round your answer to the nearest tenth.
Answer:
3
Step-by-step explanation:
To find the mean add them up and divide by # of sets
soit =24 ÷8=3
Rectangles G and H are similar. If the area of rectangle G is 80, what is the area of rectangle H?
Answer:
20
Step-by-step explanation: