Answer:
3 : 1
Step-by-step explanation:
[tex] \huge7.5 : 2.5 = \frac{7.5}{2.5} = \frac{3}{1} = 3 : 1 [/tex]
The equivalent ratio to 7.5 : 2.5 is given by dividing both elements by 2.5, the ratio is: 3 : 1
How to rewrite the ratio?Remember that in a ratio A : B we can always multiply or divide both numbers by the same number, and the ratio does not change.
So, for the ratio:
7.5 : 2.5
To be in the form of:
n : 1
We can just divide both elements by 2.5, so we get:
7.5/2.5 = 3
2.5/2.5 = 1
Then we conclude that:
7.5 : 2.5 is equivalent to 3 : 1
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The value pi/16 is a solution for the equation 2cos^2(4x)-1=0
True or false?
Answer:
True
Step-by-step explanation:
The other person is wrong
The value π/16 is a solution for the equation 2cos²(4x) – 1 = 0, is true.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The value π/16 is a solution for the equation 2cos²(4x) – 1 = 0.
Put x = π/16, we have
2cos²(4x) – 1 = 0
2cos²[4 (π/16)] – 1 = 0
2cos²(π/4) – 1 = 0
We know that cos (π/4) = 1/√2
2(1/√2)² – 1 = 0
2 (1/2) – 1 = 0
1 – 1 = 0
0 = 0
Thus, the statement is true.
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PLEASE HELP GUYS!!! WILL GIVE BRAINLY! Trapezoid JKLM is shown on the coordinate plane below: If trapezoid JKLM is translated according to the rule (x, y) → (x + 5, y − 4), what are the coordinates of point L'? (4 points)
(3, −3)
(1, −6)
(8, −6)
(−1, 3)
$250 at 4% for 1 year
What is the balance of the account?
Answer:
Balance is $260.
Step-by-step explanation:
4% of $250
= 0.04 * 250
= $10.
250 + 10 = $260.
pls help me .question no 14
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
==================================================
Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
-------
We have the two equations x+y = 180 and y+z = 180 to form this system of equations
[tex]\begin{cases}x+y = 180\\y+z = 180\end{cases}[/tex]
Which is really the same as this system
[tex]\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}[/tex]
The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
A hot-air balloon, headed due east at an average speed of 15 miles per hour at a constant altitude of 100 feet, passes over an intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection 1 seconds later.
Answer:
The distance is [tex]sqrt{10000+484t^2}[/tex]
Step-by-step explanation:
Given that,
Altitude = 100 feet
Average speed = 15 miles/ hour
We need to calculate the speed in feet/sec
Using formula for speed
[tex]v=15 miles/hour[/tex]
[tex]v=15\times 1.46667\ ft/sec[/tex]
[tex]v=22\ ft/sec[/tex]
We need to calculate the distance in t sec
Using formula of speed
[tex]v =\dfrac{d}{t}[/tex]
Put the value into the formula
[tex]22=\dfrac{d}{t}[/tex]
[tex]d=22t[/tex]
According to figure,
We need to calculate the distance
Using pythagorean theorem
[tex]AC=\sqrt{(AB)^2+(BC)^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{100^2+(22t)^2[/tex]
[tex]d=\sqrt{10000+484t^2}[/tex]
Hence, The distance is [tex]sqrt{10000+484t^2}[/tex]
does anyone know this?
Answer:
(-9,3)
Step-by-step explanation:
(-9,3)
Also written as -9≤X≤3
Which group of expressions could represent the dimensions of a rectangular prism with a volume of 2y3 + 15y2 + 28y?
A. y, y + 4, 2y + 7
B. y, y + 7, 2y + 4
C. y, y + 2, 2y + 14
D. y, y + 14, 2y + 2
Answer:
C. y, y + 2, 2y + 14
Step-by-step explanation:
Given
[tex]Volume = 2y^3 + 15y^2 + 28y[/tex]
Required
Determine which set of dimensions is applicable
The volume of a rectangular prism is calculated as:
[tex]Volume = Length * Width * Height[/tex]
So, to solve this question, we have to test each options using the above formula
A. y, y + 4 and 2y + 7
[tex]Volume = y * (y + 4) * (2y + 7)[/tex]
Open brackets
[tex]Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)[/tex]
[tex]Volume = y(2y^2+ 8y + y^2+ 28)[/tex]
[tex]Volume = 2y^3+ 8y^2 + y^3+ 28y[/tex]
Collect Like Terms
[tex]Volume = 2y^3 + y^3+ 8y^2+ 28y[/tex]
[tex]Volume = 3y^3+ 8y^2+ 28y[/tex]
B. y, y + 7, 2y + 4
[tex]Volume = y * (y + 7) * (2y + 4)[/tex]
Open brackets
[tex]Volume = y * (y * (2y + 4)+ 7* (2y + 4))[/tex]
[tex]Volume = y * (2y^2 + 4y+ 14y + 28)[/tex]
[tex]Volume = y * (2y^2 + 18y+ 28)[/tex]
[tex]Volume = 2y^3 + 18y^2+ 28y[/tex]
C. y, y + 2, 2y + 14
[tex]Volume = y * (y + 2) * (2y + 14)[/tex]
Open brackets
[tex]Volume = y * (y* (2y + 14) + 2* (2y + 14))[/tex]
[tex]Volume = y * (2y^2 + 14y + 4y + 28)[/tex]
[tex]Volume = y * (2y^2 + 18y + 28)[/tex]
[tex]Volume = 2y^3 + 18y^2 + 28y[/tex]
There's no need to check the last option because option c answers the question.
Hence, the dimension is y, y + 2, 2y + 14
How many significant digits are there in the product of 0.005 and 25.725?
Answer:
there are 0 significant digits
Step-by-step explanation:
0.0005 has 1 significant digit which is 5
25.725 has 5 significant digits
which inequality does the graph represent?
Answer:
I believe the answer is B.
Step-by-step explanation:
It is the parallelogram that has its unequal contiguous sides and the four right angles. A) Square B) Rhombus C) Rectangle D) Rhomboid
Answer:
Rhomboid is the parallelogram that has its unequal contiguous sides and the four right anglesHope it helps you Mark it as brainliest and follow me My account you can see here below (hardik 60)Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
Answer:
1). |(-3) - 8|
2). 11 units
Step-by-step explanation:
If the given numbers are 'x' and 'y', distance between these numbers will be represented by the absolute value expression,
Distance = |x - y|
Given numbers are (-3) and 8.
Therefore, expression for the distance between these points will be,
Distance = |(-3) - 8|
Distance between these points will be = 11 units
in a lottery there are 10 prizes and 25 blanks what is the probability of getting prizes
Answer:
P(prize)= 2/7
Step-by-step explanation:
The probability of getting a prize can be found by dividing the number of favorable outcomes by the total number of outcomes.
P (prize) = favorable / total
The favorable outcome is a prize and there are 10 prizes.
P (prize) = 10 / total
There are 10 prizes and 25 blanks. Add 10 and 25.
10 prizes + 25 blanks= 35 total outcomes
P (prize)= 10/35
This fraction can be simplified. Both the numerator and denominator can be evenly divided by 5.
P(prize)= (10/5) / (35/5)
P(prize) = 2 / (35/5)
P(prize)= 2/7
The probability of receiving a prize is 2/7
Plz help ASAP will mark brainlist
Answer:
[tex]\huge \boxed{\mathrm{C}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x.
The function does not cross the line x = 1.
The domain is all real numbers except 1.
The range is the set of all possible values for y.
The function does not cross the line y = 0.
The range is all real numbers except 0.
is -|-4| = |-(-4)| the same?
Answer:
no the first one is -4 and the other one is positive 4
Answer:Yes
Step-by-step explanation:
Just take away the (4)
How many solutions does the system have?
2y = 4x + 6
y=2x + 6
Choose 1 answer:
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
the answer should be no solution.
Luke order an extra large square pizza for all of his friends. The area of the pizza was 289cm². what is the perimeter of crust for the pizza?
Answer:
68 cm
Step-by-step explanation:
√289 = 17
each side is 17 cm
17 * 4 = 68 cm
Look at the diagram below. If ∠A and ∠C are complementary, what's the measurement of ∠C?
Answer:
∠A + ∠C=90°(Right angle triangle)
37+∠C=90°
∠C=90°-37°
∠C=53°
Hope it helped you:)
Answer:
∠A + ∠C=90°(Right angle triangle)
37+∠C=90°
∠C=90°-37°
∠C=53°
Step-by-step explanation:
What is the inverse function of f(x) = x/x-2
Answer:
The answer is:
y = x/x −2
Answer:[tex]f^{1}=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
Write f(x) =x/x-2 as an equation
[tex]f(x)=\frac{x}{x-2}[/tex]
Interchange the variables
[tex]x=\frac{y}{y-2}[/tex]
solve for y, multiply equation by y-2.
[tex]y=\frac{2x}{x-1}\\[/tex]
replace y with [tex]f^{1}[/tex](x)
you get the above answer.
a + 2 = 6
Solving One and Two step Equations
Answer:
a = 4
Step-by-step explanation:
a + 2 = 6
Subtract 2 from both sides
a + 2 - 2 = 6 - 2
a = 4
Answer:
4
Step-by-step explanation:
6 - 2 = 4
A calculator is sold for Rs 230 at a profit of 15%.find cp
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 200}}}}}[/tex]
Step-by-step explanation:
Given,
Selling price ( SP ) = Rs 230
Profit % = 15 %
Cost price ( CP ) = ?
Finding the Cost price
[tex] \boxed{ \sf{cost \: price = \frac{selling \: price \times 100}{100 + profit \: \%}}} [/tex]
plug the values
⇒[tex] \sf{ \frac{230 \times 100}{100 + 15 \: }} [/tex]
Muliply the numbers : 230 and 100
⇒[tex] \sf{ \frac{23000}{100 + 15}} [/tex]
Add the numbers : 100 and 15
⇒[tex] \sf{ \frac{23000}{115} }[/tex]
Divide 23000 by 115
⇒[tex] \sf{200}[/tex]
Cost price ( CP ) = Rs 200
Hope I helped!
Best regards!!
. In a class, 36 students offered physics, 46 offered chemistry
and 48 offered mathematics. Of these, 26 are in both
chemistry and mathematics, 24 are in both physics and
chemistry, 22 are in both mathematics and physics.12 have
offered all the three subjects. Find the number of students in
the class.
Answer:
70 students
Step-by-step explanation:
yaa is 10 years kwasi is 20 years and they share 60 mangoes and to a ratio of their ages find what each of them will get
Step-by-step explanation:
Yaa's age = 10 years
Kwasi's age = 20 years
They share the mangoes in the ratio of their ages
That's
10 : 20 = 1 : 2
Total number of mangoes = 60
Total parts = 1 + 2 = 3
Yaa's share[tex] \frac{1}{3} \times 60[/tex]= 20 mangoesKwasi's share[tex] \frac{2}{3} \times 60[/tex]= 2 × 20
= 40 mangoesHope this helps you
Answer:
Yaa gets 20 oranges while Kwasi gets 40 oranges
Step-by-step explanation:
We will add both ages= 10+20=30
Then we will pick yaa's age/ their total ages multiplied by the amount of oranges= 10/30 * 60
yaa will get= 600/30 = 20 oranges
Then Kwasi's age/their total ages multiplied by the amount of oranges= 20/30* 60=
1200/30= 40 oranges
What is the total number of quarts of iced tea that can be made with 24 tea bags?
А
5
B6
8
Answer:
Answer is 18
Step-by-step explanation:
OK please follow me friends
i need help, please.
Answer:
work shown and pictured
Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?
Answer: Constructing a circle of any arbitrary radius.
Step-by-step explanation:
When trying to construct an inscribed square and also an inscribed equilateral triangle, one step which is same for both procedures is the construction of a circle with an arbitrary radius because both shapes would be inscribed inside the circle been drawn. So the step involving the drawing of the circle is same for both.
Answer: Set the compass width to the radius of the circle.
Step-by-step explanation:
Evaluate the expression when b= 2 and c = -2 -b+2c
Answer:
- 6
Step-by-step explanation:
Given
- b + 2c ← substitute b = 2 and c = - 2 into the expression
= - 2 + 2(- 2)
= - 2 - 4
= - 6
Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
2. Jada is the 36th customer.
a. Will she get a prize? If so, what prize will she get?
b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning.
3. How many prizes total will Lin’s uncle give away? Explain your reasoning.
Answer:
1. Yes, 1 position backwards
2. Yes, a free blueberry muffin and a free slice of carrot cake
b. Yes
3. 19 prizes
Step-by-step explanation:
The given conditions for winning a prize are as follows;
The prize that every 5th customer gets = A free bagel
The prize that every 9th customer gets = A free blueberry muffin
The prize that every 12th customer gets = A free slice of carrot cake
Therefore, the prizes will go to the 5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th positon customers
1. Diego being 23rd is right for thinking that he should get farther back in line in order to get a prize
He should get one position behind to 24th position
The reason is because prizes will be given to every 12th customer, and the 24th customer is the second 12th customer
2. Yes Jada will get a price as her position corresponds to the consecutive 9th and 12th customers position
Jada will get a free blueberry muffin and a free slice of carrot cake
b. It is possible for Jada to get more than one prize
This is so because her position coincides with the consecutive 9th and 12th customers position
3. The number prizes that Lin's uncle gives away are;
5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th = 17 prizes
including 1 extra prize each for the 36th and 45th customers which gives a total of 19 prizes.
Does anyone know this?
Answer:
f(x) = -x^2 + x + 13 find f(9) = -59
Hope this helps :)
Answer:
f(9)= -59
Step-by-step explanation:
First, put 9 into x; which gives you...
f(9)= (-9)^2+9+13
f(9)= -81+9+13
f(9)= -59
Find the product. √5(2+√7)
A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35
Answer:
A. 2√5 + √35
Step-by-step explanation:
Product means multiplication
√5(2+√7)
= 2 × √5 + √5 × √7
= 2√5 + √35
Option A is correct
B. √45
√5(2+√7)
=√5 * 2 + √5 * √7
=√10 + √35
=√45
Option B is incorrect
C. 2√5 + 2√7
√5(2+√7)
=2√5 + 2√7
Option C is incorrect
D. √10 + √35
√5(2+√7)
=√5 * 2 + √5*√7
=√10 + √35
Option D is incorrect
Which of these are symptoms of schizophrenia?. A. expressing emotions less intensely B.compulsively repeating an action C.wanting to keep things symmetrical D.seeing something that is not there E. having a fear of germs F. having disorganized thoughts
Answer:
its 1,4,6 on edge
Step-by-step explanation:
These are symptoms of schizophrenia is -
expressing emotions less intensely
seeing something that is not there
having disorganized thoughts
What is schizophrenia?Schizophrenia is a chronic brain disorder that affects the mental ability of the population.
Symptoms can include ;
delusions - being imaginary
hallucinations - loss of sense of reality
disorganized speech - not speaking clearly
the trouble with thinking - disorganized thoughts
lack of motivation -
Trouble concentrating - Not able to focus
Thus, these are symptoms of schizophrenia is -
expressing emotions less intensely
seeing something that is not there
having disorganized thoughts
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