95 students choose to attend one of three after school activities: footbal,l tennis or running. There are 28 boys. 38 students choose football, of which 26 are girls. 23 students choose tennis. 29 girls choose running. A student is selected at random. What is the probability this student choose running? Give your answer in its simplest form.
Answer:
34/95
Step-by-step explanation:
Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.
(8x - 4)(7y + 2) multiplying binomials
Step-by-step explanation:
8x(7y+2)-4(7y+2)
=56xy+16x-28y-8
Answer:
56xy+16x-28y-8
Step-by-step explanation:
you have to use the FOIL method to solve this is problem which is
F-First
O-Outer
I-Inner
F-Last
(5•5•5) • (5•5•5•5•5•5)
Answer:
1953125
Step-by-step explanation:
Step 1: Simplify
(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]
Step 2: Combine exponents
[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]
Step 3: Evaluate
[tex]5^9[/tex] = 1953125
Answer:
15750
Step-by-step explanation:
First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.
Heeeeelllpppp meeeeee!!!!
Look at the picture to answer this question!
Answer:
A. 72
Step-by-step explanation:
Determinant of a 2x2 matrix: ad - bc
In that case,
24(18) - 30(12)
432 - 360
72
And we have our answer.
Work out the surface area of this cylinder
8.2 cm
17.5 cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Answer:
SA = 1324.1 cm²
Step-by-step explanation:
Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 8.2 cm, h = 17.5 cm
=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]
=> SA = [tex]901.6+2(3.14)(67.24)[/tex]
=> SA = 901.6 + 422.5
=> SA = 1324.1 cm²
Find the value of the unknown in the equation 4p + 2 = 8
a) p = 0
b) p = 2.3
c) p = 1.5
d) p = 4
Answer:
Option C
Step-by-step explanation:
=> 4p + 2 = 8
Subtracting 2 to both sides
=> 4p = 8-2
=> 4p = 6
Dividing both sides by 4
=> p = 1.5
Answer:
The answer is C.
Step-by-step explanation:
First, you have to subtract 2 to both sides :
[tex]4p + 2 = 8[/tex]
[tex]4p + 2 - 2 = 8 - 2[/tex]
[tex]4p = 6[/tex]
Next, you have to divide it by 4 :
[tex]4p = 6[/tex]
[tex]p = 6 \div 4[/tex]
[tex]p = 3 \div 2[/tex]
[tex]p = 1.5[/tex]
what is the solution to the equation 13 3/4 + x equals 7 1 / 4
Answer:
x=-6.5
Step-by-step explanation:
[tex]7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5[/tex]
Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21
y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
Calculate the amount of money you'll have at the end of the indicated time period.
You invest $1000 in an account that pays simple interest of 6% for 30 years.
The amount of money you'll have at the end of 30 years is $
Step-by-step explanation:
Simple Interest = PTR/100
=1000* 30* 6/100
=1800.
Amount= Principal + Interest
= 1000+1800
= $2800
The amount of money that has at the of 30 years is $2800.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $1000
Rate of interest R = 6%
Time span T = 30 years.
Total amount = Principle amount + Interest
Total amount = P + (PRT)/100
Total amount = $1000 + (1000 x 6 x 30)/100
⇒ $2800
Hence "The amount of money that has at the of 30 years is $2800".
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Find the 8th term of geometric sequence 2,-10,50...
Answer:
- 156250
Step-by-step explanation:
Find the ratio of the geometric sequence.
-10/2 = -5
50/-10 = -5
The common ratio is -5.
Apply the formula.
an = ar^(n-1)
Where a is the first term and r is the ratio.
a8 = 2(-5)^(8-1)
a8 = 2(-5)^7
a8 = 2(-71825)
a8 = -156250
. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal
Answer:
x = [tex]\frac{\sqrt{3} }{3}[/tex]
Step-by-step explanation:
You can either use the unit circle to find your values and then solve for x or plug it into the calc directly to find your answer (don't forget to put your mode on deg!). It is much faster to plug it into your calc. Simply just divide both sides by tan45°cos30° and you should isolate x and find your answer.
Reflect triangle a in the x axis to give triangle b. Then rotate your triangle b 90 degrees clockwise around the origin to give triangle c. Describe fully the single transformation that maps triangle a onto c
Answer:
The single transformation that maps a onto c is the reflection of the triangle a about the line y = -x
Step-by-step explanation:
To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;
Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)
Also, when we rotate a point, (x, y), 90° clockwise, we have;
Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)
Therefore, the rotation of the point (x, -y), 90° clockwise will give
Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)
Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.
Austin runs 3.6 km and makes 40 rounds in his circle shaped gym. What is the diameter of gym? (π=3)
3.6 km / 40 rounds = 0.09 km per round.
0.09 km x 1000 m/km = 90 meters
The circumference of the circle is 90 meters
Using 3 as pi as told, divide the circumference by 3 to get the diameter:
Diameter = 90 meters/ 3 = 30 meters
Find the 87th term of the arithmetic sequence –19, -13, -7,...
Answer:
87th term is 497
Step-by-step explanation:
first, you have to find the nth term:
figure out the difference between your set of numbers (in our case +6)
that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.
nth term= 6n-25
now replace n with 87.
final step:
87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497
497 is your 87th term.
Answer:
-535Step-by-step explanation:
[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]
Please HELP!!!!!!!!!!!!!!!!!
Answer:
I think it might be the second one or maybe the first one
Step-by-step explanation:
Im not quite sure so dont blame me if its wrong
Given the following diagram, find the missing measure. Given: PM MO m 2 = 30°, m P = 30 120 60 90
Answer:
60
Step-by-step explanation:
The sum of interior angles in a triangle is 180
180-90-30=60
You drive an average of 750 miles per week in a car that gets 28 miles per gallon. With gasoline prices at $3.40 per gallon, what would be the difference in total weekly cost of gasoline if you start driving an SUV that gets 20 miles per gallon?
Answer:
$36.41/week
Step-by-step explanation:
Divide 750 miles/wk by 28 MPG -> = 26.79 gallons/week (I rounded.)
Divide 750 miles/wk by 20 MPG -> = 37.50 gallons/week
Car -> 26.79 gallons x $3.40 = $91.09
SUV -> 37.50 gallons x $3.40 = $127.50
$127.50 - $91.09 = Difference of $36.41/week
The difference in the total weekly cost of gasoline is $36.43 if you drive an average of 750 miles per week.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
You drive an average of 750 miles per week in a car that gets 28 miles per gallon. With gasoline prices at $3.40 per gallon.
For the first car:
Total number of miles = 750 miles
The gasoline prices at $3.40 per gallon
The car that gets 28 miles per gallon
Number of gallons used = 750/28 = 26.785
The total price of the gallon used = 26.785x3.40 = $91.07
For the SUV car:
Total number of miles = 750 miles
The gasoline prices at $3.40 per gallon
The car that gets 20 miles per gallon
Number of gallons used = 750/20 = 37.5
The total price of the gallon used = 37.5x3.40 = $127.5
The difference in total weekly cost of gasoline = 127.5 - 91.07 = $36.43
Thus, the difference in the total weekly cost of gasoline is $36.43 if you drive an average of 750 miles per week.
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Can you help me with this question
Answer:
-1.67
Step-by-step explanation:
Triangle ABC has one side equal to 10 inches and one side equal to 7 inches. What could be the area of the triangle? I. 25 square inches II. 35 square inches III. 40 square inches
Answer: 35 square inches
Step-by-step explanation:
Area of triangle = (l * w) / 2
Multiply
10 * 7 = 70
Divide by 2
70 / 2 = 35
Answer:
35 square inches
Step-by-step explanation:
area=base times height divided by one-half
7x10=70
70/2=35
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag
Answer:
342/6 = 57
Step-by-step explanation:
Just basic division
15/4 divided by -5/8 equals?
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
-6
Step 1) Do keep change flip if your beginner
After you do that
you get 15/4x-8/5 multiply and simply get -6
what is the answer to 5x+4=9
Answer:
x=1
Step-by-step explanation:
5x-4=9
5x=9-4
5x=5
x=1
Which equation can be used to find one multiple of 16?
16=8= 2
16 = 4= 4
16 x0=0
16 x 2 = 32
Answer:
16x2=32
Step-by-step explanation:
A multiple of 16 is any number divisible by 16. Multiplying 16 by 2 creates a number divisible by 16 and 2, meaning it is divisible by 16.
16x2=32 32/16=2
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6. If the solution region represents the number of hammers and wrenches that Brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation. A. B. C. D.
Answer:
For this case, the first thing we must do is define variables:
x: number of hammers
y: number of wrenches
We write the system of inequations:
10x + 6y <= 120
x + y> = 14
Step-by-step explanation:
f(x) = -3(x-1) find f(o).
Answer:
f(0) = 3
Step-by-step explanation:
Step 1: Distribute
f(x) = -3x + 3
Step 2: Plug in
f(0) = -3(0) + 3
f(0) = 3
Answer:
f(0) = 3
Step-by-step explanation:
f(x) = -3(x-1)
Put x as 0 and solve.
f(0) = -3(0-1)
Solve the brackets.
f(0) = -3(-1)
Multiply both terms.
f(0) = 3
Write 5.1 x 10 to the power of one as an ordinary number.
Answer:
51
Step-by-step explanation:
Multiplying 5.1 by 10^1 shifts the decimal point 1 place to the right. We get 51.
A hot-air balloon is flying at an altitude of 2999 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 34degrees, how far is the house from the pilot?
Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:
[tex]sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet[/tex]
The pilot is 5668.3 feet far away from the house.
I don’t know how to solve help pls
Answer:
The measure of angle a is 43 degrees.
Step-by-step explanation:
Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.
Answer: 43°
Step-by-step explanation:
The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90
We now have 90 + 47 + a = 180
137 + a = 180
a = 43
How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction?
Answer:
21
Step-by-step explanation:
7/8 = x/24
Cross multiply.
8x = 24 × 7
8x = 168
x = 168/8
x = 21
Answer:
answer is d
Step-by-step explanation:
I need help, please Will mark the Brainliest
Answer:
A= BEP and BCG
Because they aree the only triangle
C= about 600 to 750
Step-by-step explanation: