Answer:
14 students
Step-by-step explanation:
We can set up a percentage proportion to find 2% of 700.
[tex]\frac{x}{700} = \frac{2}{100}[/tex], and we can use the cross products property to find the value of x.
[tex]700\cdot2=1400\\\\1400\div100=14[/tex]
Hope this helped!
Answer:
14 students
Step-by-step explanation:
If two percent of Hamilton Middle School students have red hair, it means that the number of students who have red hair is given by (0.02) * (700) =14 students.
Find the area of the following shape. Please show work.
Answer:
Step-by-step explanation:
The area of a triangle is given by the formula:
● A = (b×h)/2
b is the base and h is the heigth.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Draw the heigth. This gives you two small right triangles.
Let's focus on the right one containing 45°.
● sin 45° = h/8
● h = sin 45° × 8 = 4√(2)
■■■■■■■■■■■■■■■■■■■■■■■■■■
Replace h by its value in the area formula. The base is 17
● A = (17× 4√(2))/ 2
● A = 34√(2)
● A = 48.08
Round to the nearest unit
● A = 48
Answer:
Area = 48 sq. units
Step-by-step explanation:
will make it short and simple.
area of a triangle = 1/2 * a * b * sinФ
area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units
The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, −2). A. y = 2x + 4 B. y = negative 1 over 2 , x − 1 over 2 C. y = − 1 over 2 , x − 7 over 2 D. y = 2x − 8
Answer:
The answer is option DStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
y = 2x + 4
comparing with the above equation for a line
The slope / m = 2
Since the lines are parallel their slope are also the same
Slope of parallel line = 2
So we have
The equation of the line using point
( 3 , -2) and slope 2 is
y + 2 = 2( x - 3)
y + 2 = 2x - 6
y = 2x - 6 - 2
We have the final answer as
y = 2x - 8Hope this helps you
Answer:
y=2x-8
Step-by-step explanation:
n urn contains 3 red balls, 9 green, 2 yellow, 2 orange, and 4 purple balls. Two balls aredrawn, one at a time with replacement. Find the probability of drawing a green ball and an orangeball.
Answer:
[tex]\frac{9}{100}[/tex]
Step-by-step explanation:
Given:
Number of red balls, n(R) = 3
Number of green balls, n(G) = 9
Number of yellow balls, n(Y) = 2
Number of orange balls, n(O) = 2
Number of purple balls, n(P) = 4
Two balls are drawn one at a time with replacement.
To find:
Probability of drawing a green ball and an orange ball ?
Solution:
Total number of balls, n(Total) = 3 + 9 + 2 + 2 + 4 = 20
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Probability that a green ball is drawn at first:
[tex]P(Green) = \dfrac{\text{Number of Green balls}}{\text {Total number of Balls}}[/tex]
[tex]P(Green) = \dfrac{9}{20}[/tex]
Now, the ball is replaced , so total number of balls remain the same i.e. 20.[tex]P(Orange) = \dfrac{\text{Number of Orange balls}}{\text {Total number of Balls}}[/tex]
[tex]P(Orange) = \dfrac{2}{20} = \dfrac{1}{10}[/tex]
[tex]P(Green\ then\ orange) = P(Green) \times P(Orange)\\\Rightarrow P(Green\ then\ orange) = \dfrac{9}{10} \times \dfrac{1}{10}\\\Rightarrow P(Green\ then\ orange) = \bold{ \dfrac{9}{100} }[/tex]
i need to know the area
Answer:
I got option 1.
Step-by-step explanation:
See pictures
Maria cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of fabric did she cut?
Answer:
2.5 Yards
Step-by-step explanation:
Multiply 5/8 by 4
An 8-pack of beaded necklaces costs $7.60. What is the unit price?
Answer:
The unit price is $0.95 per pack.
Step-by-step explanation:
To find the unit price, we must find the price per pack of beaded necklaces. To do this, we should divide the total price ($7.60) by the number of items in the package (8).
$7.60/8 = $0.95
Therefore, the answer is that the unit price is $0.95.
Hope this helps!
if the first step of the equation -8 - 7x = -5x - 10 is " add 10" then what should be done next?
Answer:
Add 7x to each side
Step-by-step explanation:
-8 - 7x = -5x - 10
Add 10 to each side
-8 - 7x+10 = -5x - 10+10
2 -7x = -5x
Add 7x to each side
2-7x+7x = -5x+7x
2 = 2x
Answer: See below
Step-by-step explanation:
[tex]-8 - 7x = -5x - 10[/tex]
I believe it is adding 8 on both sides
The next step after adding 8 on both sides is adding 5x on both sides
[tex]-7x=-5x-2[/tex]
[tex]-7x+5x=-5x-2+5x[/tex]
[tex]-2x=-2[/tex]
x=1
70 POINTS! PLEASE HELP! Explain the difference between the following equation formats: Slope-Intercept, Point-Slope and Standard
Answer and Step-by-step explanation:
1. slope intercept
2. point-slope form
3. standard
Explanation:
1. A slope intercept form equation is when it's set up as y = m x + b
m = slope
b = y-intercept
2. A point-slope form is when a line passes through a point
and the equation is set up as y −b = m ( x−a)
m = slope
(a, b) A point that the line passes through
3. standard lope form is when the equation is set up as
Ax + By = C
3. One rule of thumb for estimating crowds is that each person Occupies 2.5 square feet.
Use this rule to estimate the size of the crowd watching a parade along the 1-mile
section of the route in Question 2.
mile
Answer:
5.83142789
Step-by-step explanation:
did it on a graphing calculator, hope this helps
Solve for f.
-f + 2 + 4f = 8 - 3
f=
Answer:
1
Step-by-step explanation:
-f + 2 + 4f = 8 - 3
3f = 6 - 3
3f = 3
f = 1
Answer:
f=1
Step-by-step explanation:
-f+2+4f=8-3
First what you want to do i that you want to simplify as best as you can.
-f+2+4f=8-3 becomes 3f+2=8-3 because you add the 4f to the -1f.
Then, just subtract 2 from both sides to get 3f=8-5
Now, simplify even more
3f=8-5 becomes 3f=3
It should be easy now, but if you still need help, divide
f=1
Please answer this question now
Answer:
1109.12
Step-by-step explanation:
HELP! URGENT!
Alice wrote three consecutive even numbers. The sum of these numbers was 252.
Pat wrote three consecutive odd numbers. Pat's numbers were larger than Alice's numbers.
The difference between the largest of Pat's numbers and the largest of Alice's numbers was 25.
What was the sum of Pat's numbers?
Answer:
333
Step-by-step explanation:
Let a represent Alice's numbers and p represent Pat's numbers.
Alice wrote three consecutive even numbers. The sum of the three is 252. This means:
[tex]a+(a+2)+(a+4)=252[/tex]
The first term is even. Each consecutive even term is two more than the previous term. Simplify:
[tex]3a+6=252\\3a=246\\a=84[/tex]
In other words, Alice's first number was 84.
Pat wrote three consecutive odd numbers. His numbers were larger than Alice's numbers. Similar to Alice, we can write:
[tex](p+1)+(p+3)+(p+5)=x[/tex]
The first term is odd. Each consecutive odd term will be 1 more, then 3 more, then 5, etc. We want to find Pat's sum, or x.
We are told that the difference between the largest of Pat's and Alice's numbers is 25. Therefore:
[tex](p+5)-(a+4)=25[/tex]
Simplify. Substitute a. Solve for p:
[tex]p-a+1=25\\p-84=24\\p=108[/tex]
Therefore, Pat's sum is:
[tex](108+1)+(108+3)+(108+5)=333[/tex]
10 points to the person who answers this whole thing and I will mark you as brainliest.
Answer:
Step-by-step explanation:
Perimeter is found by adding together all the lengths of the sides. For us, that is x + (2x + 5) + (6x - 17) + (3x + 2). Now we will just combine like terms. We can also drop the parenthesis because they do nothing for us and mean nothing to the problem.
x + 2x + 5 + 6x - 17 + 3x + 2 becomes
12x - 10
Rafael is at an elevation of 30.5 feet relative to sea level and Jordan is at an elevation of -41.3 feet relative to sea level. Who is at a higher elevation? Who is further from sea level?
Answer:
a. Rafael
b. Jordan
Step-by-step explanation:
Firstly, we should understand that a negative value of elevation indicates that the position is below sea level.
So the person at a higher elevation is the person above the sea level which is Rafael in the case.
Now to the second question, we want to know who is farther from the sea level.
The correct answer is Jordan.
Let’s see the sea level as an origin (0,0) on a cartesian plane and coordinate. We should understand that although sign maybe different, the numbers which are higher in magnitude in either direction shows the farthest from the origin.
So therefore, Jordan is deeper below the sea level than Rafael who is above the sea level.
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm? A. 4 cm B. 8 cm C. 16 cm D. 18 cm
Answer:
guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong
Step-by-step explanation:
What is negative sqrt 64?
Answer:
8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer
Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6
Answer:
The answer is option CStep-by-step explanation:
2√24 + 5√54
To combine the radicals first make sure the radicals have the same square root
That's
For 2√24[tex]2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6} [/tex][tex] = 4 \sqrt{6} [/tex]For 9√54[tex]5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6} [/tex][tex] = 5 \times 3 \times \sqrt{6} [/tex][tex] = 15 \sqrt{6} [/tex]Since they have the same square root we can combine them
That's
[tex]4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6} [/tex]We have the final answer as
[tex]19 \sqrt{6} [/tex]Hope this helps you
PLEASE HELP!! It’s for a math class and I can’t figure it out been trying every website nothing has helped!
Answer:
11.6%
I hope this helps!
Find the rectangular coordinates of the point with the polar coordinates. ordered pair negative 7 comma 2 pi divided by 3
Answer:
The rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5, 3.5·√3)
Step-by-step explanation:
The given polar coordinates is (7, 2·π/3)
Where, the 7 represent the distance, r, from the point of reference and 2·π/3, the angle, θ, from the reference point.
Polar coordinates are represented in rectangular form by the equivalence transformation equation given as follows;
The x-coordinate = Radius, r × cos(θ), which gives
We note that 2·π/3 radians = 2 × 180/3 = 120°
x = 7 × cos(2·π/3) = 7 × cos(120°) = 7 × (-0.5) = -3.5
x = -3.5
The y-coordinate = Radius, r × sin(θ), which gives
x = 7 × sin(2·π/3) = 7 × sin(120°) = 7 × (√3)/2 = 3.5·√3
y = 3.5·√3
Therefore, the rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5, 3.5·√3).
what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6
Begin by studying the pattern.
Notice that the difference between 0.8 and 1 is 0.2.
In other words, 0.8 + 0.2 is 1.
In the same way, 1 + 0.2 is 1.2.
1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.
So we can see that the difference
between each of the terms is 0.2.
Answer:
+.2
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
1 - .8 = .2
Check by subtracting the second term from the third term
1.2 - 1 = .2
The common difference is .2
What is the best first step to begin simplifying the expression - } (x + 4) = 6?
A.
Distribute -1/2
B.
Distribute -2
c. Multiply both sides of the equation by-2.
D.
Subtract 4 from both sides of the equation.
E.
Subtract 6 from both sides of the equation.
Type the expression that results from the following series of steps:
Start with
y
, times by 4, then subtract 9.
Answer:
4y - 9
Step-by-step explanation:
y×4= 4y
4y-9
What value(s) of x make the equation x2 - 18x + 81 = 0 true?
Answer:
By factoring we get:
(x -9) * (x -9) = 0
The answers are
x = 9 and x = 9
Step-by-step explanation:
Answer:it’s A
Step-by-step explanation:
I NEED HELP FAST PLEASE
Answer:
3
Step-by-step explanation:
3
Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
PT.1 Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?
Choose the most logical value for the variable to represent.
Let x = Kelli's swimming speed in still water
PT.2 Which expression represents the distance Kelli traveled upstream?
1(x – 5)
PT.3 Which expression represents the distance Kelli traveled downstream?
0.1(x + 5)
PT.4 Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth. Kelli can swim about 6.11 km/hour.
Someone please help me fast !!
area of a parrollelogram with a base length of 2.9ft and a height of 5.5ft
Answer:
[tex] \boxed{15.95 \: {ft}^{2} }[/tex]Step-by-step explanation:
base length ( b ) = 2.9 ft
Height ( h ) = 5.5 ft
Let's find the area of parallelogram:
Area of parallelogram : [tex] \mathsf{ = b \times h}[/tex]
plug the values
⇒[tex] \mathsf{2.9 \times 5.5}[/tex]
Multiply
⇒[tex] \mathsf{15.95}[/tex] ft²
--------------------------------------------------------------------
Extra information:
Parallelogram
The quadrilateral in which opposites sides are parallel is called a parallelogram.
The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.The area of a parallelogram = base × heightHope I helped!
Best regards!
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
[tex]\huge\boxed{x = 36\°}[/tex]
Step-by-step explanation:
According to secant angle theorem:
[tex]x = \frac{1}{2} (mCDF-mBJH)[/tex]
Where mCDF = 140 , mBJH = 68
[tex]x = \frac{1}{2} (140-68)[/tex]
[tex]x = \frac{1}{2} (72)[/tex]
x = 36°
In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?
Answer: Yes, because the results are unlikely to occur by chance.
Step-by-step explanation: apparently, the weight loss program has a statistical significance, because the results are likely to also occur by chance. because it occurrs by chance, this applits to a happening which has occurred without an intent, volition, or plan. an event or encounter that occurs by chance usually implies an occurrence of some importance.
LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………
Answer:
[tex] (x^2 - 9)(x + 2) [/tex]
Step-by-step explanation:
Given:
[tex] x^2 + 5x + 6 [/tex]
[tex] x^2 - x - 6 [/tex]
Required:
LCM of the polynomials
SOLUTION:
Step 1: Factorise each polynomial
[tex] x^2 + 5x + 6 [/tex]
[tex] x^2 + 3x + 2x + 6 [/tex]
[tex] (x^2 + 3x) + (2x + 6) [/tex]
[tex] x(x + 3) + 2(x + 3) [/tex]
[tex] (x + 2)(x + 3) [/tex]
[tex] x^2 - x - 6 [/tex]
[tex] x^2 - 3x +2x - 6 [/tex]
[tex] x(x - 3) + 2(x - 3) [/tex]
[tex] (x + 2)(x - 3) [/tex]
Step 2: find the product of each factor that is common in both polynomials.
We have the following,
[tex] x^2 + 5x + 6 = (x + 2)(x + 3) [/tex]
[tex] x^2 - x - 6 = (x + 2)(x - 3) [/tex]
The common factors would be: =>
[tex] (x + 2) [/tex] (this is common in both polynomials, so we would take just one of them as a factor.
[tex] (x + 3) [/tex] and,
[tex] (x - 3) [/tex]
Their product = [tex] (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2) [/tex]
