Original price be x
Discount price be y
The equation is
y=x-5So
y=3(x-5)60=3x-153x=75x=25$Answer:
3(f - 5) = 60
$25
Step-by-step explanation:
Let f = full price of rash-guard
Given:
during the sale, rash-guards sell for $5 less than full pricecost of 3 rash-guards during sale is $60Therefore, the equation you can use to find how much money each rash-guard costs at full price is:
3(f - 5) = 60
To calculate the full price of the rash-guard, solve the equation for f:
⇒ 3(f - 5) = 60
Expand:
⇒ 3f - 15 = 60
Add 15 to both sides:
⇒ 3f = 75
Divide both sides by 3:
⇒ f = 25
Therefore, the full price of each rash-guard is $25.
if 10x+6 = 21 then what is 15
Answer:
The answer is
→ 1.5 or 10x = 15
Step-by-step explanation:
Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;
First subtract 6 on both sides
10x + 6 - 6 = 21 - 6
= 10x = 15
Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.
Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour
Answer:
5.5 miles
Step-by-step explanation:
If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles
How long is the arc intersected by a central angle of startfraction pi over 3 endfraction radians in a circle with a radius of 6 ft? round your answer to the nearest tenth. use 3.14 for pi. 1.0 ft 5.7 ft 6.3 ft 7.0 ft
The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we have:
Radius of the circle = r = 6 ftAngle subtended by the considered arc of the circle on its center = [tex]\theta^c = \dfrac{\pi}{3}^c[/tex]Thus, if we take:
Length of the arc = L feet, then:
[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]
Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.
Learn more about arc length here:
https://brainly.com/question/12058177
Answer:
c
Step-by-step explanation:
i did it and got it right
if x=2 and y=-3 solve each of the question
a) 3x+y^2=
b) 3x^2+5y^2=
c)2x+y
d)5y+x^2=
Answer:
A) 15
B) 57
C) 7
D) 19
Step-by-step explanation:
a) 3x+y^2=
Insert the values
3(2) + 3^2
6+9 (3^2 = 3 x 3 = 9)
= 15
b) 3x^2+5y^2=
Insert the values
3(2)^2 + 5(3)^2
3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)
3(4) + 5(9)
12+ 45
= 57
c) 2x+y
insert the values
2(2) + 3
4 + 3
= 7
d) 5y+x^2=
Insert the values
5(3)+ 2^2
15 + (2^2 = 2x2 = 4)
15+4
= 19
An animal group adopted out 1,526 cats last year. this year, they found homes for 1,214 cats. what is the percent decrease in the number of cats adopted from last year to this year?
Answer: 20.4% decrease
Step-by-step explanation:
First, find how many fewer cats were adopted out this year: 1,526 - 1214 = 312.
Now, find what percent of 1,526 312 is: 1,526 * x = 312 → x = .204 * 100 = 20.4% :)
(PLS help I’ll give brainliest to whoever can answer right nobody has been able to. )
A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone-shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth.
1035 divided by 23 hun
Answer:
45
Step-by-step explanation:
Jennifer wants to know how many of her company’s 1,800 employees ride the bus to work. She asks every fourth employee out of 800 entering the building from the parking garage
Please help me with this math question attached below.
Answer: 12 outcomes
Step-by-step explanation:
When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
2,914 rounded to the thousand and to nearest hundred
Answer: 2194.00 and 2194.000
Step-by-step explanation: rounded to the nearest 1000= 2194.000
rounded to the nearest 100 = 2194.00
this is due tomorrow at 8 pls help
Answer:
a = 4 b = 2 c = 6
Step-by-step explanation:
4 + b = c
b & c are any even numbers between 2 and 9 (2, 4, 6, 8)
c > 4 ( 6, 8)
b < 6 (2, 4)
b can't be the same number, so b is 4 meaning c is 6
Answer:
b=2, c=6
Step-by-step explanation:
If x = 5 when y = 12, find y when x = 10.
Answer:
y = 24
Step-by-step explanation:
We need to double the x value by 2 and when we do that we will get the y value .
12 x 2 = 24
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
y = 6
Step-by-step explanation:
Since x and y vary inversely, we have:
xy=k
For x= 5 and y = 12, we have:
⇒ 5×12=k
⇒ k= 60
For x= 10, we have :
⇒ 10y = 60
y = 60/10
y = 6
[RevyBreeze]
Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display. Can a human distinguish pixels on a same-sized HDTV with 2×10^6 pixels? Explain
Answer:
The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.
Step-by-step explanation:
Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.
Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (2 pi, 0). The amplitude is 4. The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph. The y-intercept is (0, 0). Y = –4sin(x) y = –4cos(x) y = 4sin(x) y = 4cos(x).
The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.
What is function?A expressions defining a connection between the independent variable and dependent variable is known as the functions.
A feature that:
The domain is defined as the set of all real numbers.
a single x-intercept
The amplitude is four.
The y-intercept is defined as (0,0)
Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:
Hence y = -4sin (x) and y = 4sin (x) has the given properties.
To learn more about the function refer to the link;
https://brainly.com/question/5245372
Answer:
A) y = -4sin(x)
Step-by-step explanation:
Just took the quiz on edge 2022
Find the value of x. Round to the nearest tenth of a unit. Show work.
Answer:
x = 41.16
Step-by-step explanation:
The value of the top angle in the triangle is equal to 90° - 27° = 63° as they are complementary anglesTo find x, take the tan ratio of the angletan63° = 1.96tan63° = x/21⇒ x/21 = 1.96⇒ x = 21 * 1.96⇒ x = 41.16Answer:
x=41.2
Step-by-step explanation:
Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.
Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.
90-27=63 degrees
Now we can use trig. ratios to help us figure out the missing side.
tan(63)=x/21
x=tan(63)*21
x=41.21482062
x=41.2
Hope this helps!!!
12 points
Will mark brainliest to who ever answers first
Answer:
80 pounds
Step-by-step explanation:
In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?
Answer:
I think Angle T is 36 degree
I think it will help you
12) 26 in
17 in
13) 28 ft
20 ft
14) 27 mm
34 mm
Answer:
#12=442
#13=560
#14=918
Step-by-step explanation:
26x17=442
28x20=560
27x34=918
Answer:
Step-by-step explanation:
I will answer only a few
12.) the area of a triangle is half its base times its height
[tex]\frac{1}{2} *17 * 26[/tex]
= 17 * 13
= 221
13.) 1/2 * 20 * 28
= 10 * 28
=280 cm^2
If square root 6 is the geometric mean between 4 and another number, then the number is?
Answer:
The answer is 1.5
pls give brainliest ily<3
You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
More can be learned about quadratic functions at https://brainly.com/question/24737967
a yard is a shape of a triangle the height is 35 ft, and the width of 50 ft. what is the area.
Answer:
1,750
Step-by-step explanation:
35x50 that's the entire process
- Halalna wrote lile
47 X 31 = 1,457
1,457 · 47 =
What is the quotient in Halaina's
problem?
A 47
B 31
с 30
D 25
Answer:
A quotient is the number we get when we divide one number by another.
for example
8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.
I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.
What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?
Answer:
3.9
Step-by-step explanation:
Use the formula A = πr^2 (area of a circle = Pi times radius squared)
Plug in what we know:
48 = πr^2 (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)
15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)
3.9 = radius
The radius of the circle (rounded to the nearest tenth) is 3.1.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
We can use this formula to solve for the radius of the circle with an area of 48:
A = πr²
48 = πr²
Dividing both sides by π gives:
r² = 48/π
Taking the square root of both sides gives:
r = √(48/π)
r ≈ 3.1
Therefore, r ≈ 3.1.
To learn more about the circle;
https://brainly.com/question/29142813
#SPJ2
how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute
1. Solve for X B(100,0.001), for x = 0
a. 0.905
b. 0.917
c. 0.999
d.0.976
Answer:
a) 0.905 (3 dp)
Step-by-step explanation:
Binomial distribution X ~ B(n, p)
where n is the the number of trials and p is the probability of success
Binomial formula:
[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]
Given: X ~ B(100, 0.001)
Therefore, n = 100 and p = 0.001
Substituting these values into the binomial formula and solving for x = 0:
[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]
[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]
[tex]\implies P(X=0)=0.9047921471...[/tex]
[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]
Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answer:
Option C
-3(x² + 2x) + 4x(x + 3) – 3x
Step-by-step explanation:
a.)-3(x² – 2x) + 4x(x + 3) – 12x-3(x² – 2x) + 4x(x + 3) – 12x
-3x² + 6x + 4x² + 12x – 12x
4x² – 3x² + 6x + 12x – 12x
x² + 6x
Here, The answer is x² + 6x but our required answer is x² + 3x. So, option a is not the answer.
b.)3(x² + 2x) – 4x(x – 3) + 3x3(x² + 2x) – 4x(x – 3) + 3x
3x² + 6x – 4x² + 12x + 3x
3x² – 4x² + 12x + 3x + 6x
-x² + 21x
Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.
c.)-3(x² + 2x) + 4x(x + 3) – 3x-3(x² + 2x) + 4x(x + 3) – 3x
-3x² – 6x + 4x² + 12x – 3x
4x² – 3x² – 6x + 12x – 3x
x² + 3x
Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.
Thus, The correct answer is option c.
Are the base angles of an isosceles triangle always congruent?
Answer: Yes
Step-by-step explanation:
If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent by CPCTC.
Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.
What is the isosceles triangle?An isosceles triangle is a triangle that has at least two sides of equal length.
When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.
An isosceles triangle with only two congruent sides, the congruent sides are called legs. The third side is called the base. The angle opposite the base is called the vertex angle, and the angles opposite the legs are called base angles.Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.
To learn more about the isosceles triangle click the link given below.
https://brainly.com/question/27177888
#SPJ4
PLEASE SOLVE PRETTY URGENT
If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.
In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.
The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:
[tex]\frac{1}{4} =\frac{8}{x}[/tex]
To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:
[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]
That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.
What do I have to major in to become an astronomer and approximately how long would I have to stay in college?