Answer:
22.5°
Step-by-step explanation:
The sum of the interior and exterior angles of a regular polygon is 180°
ext + int = 180°
7 int + int = 180°
8 int = 180° ( divide both sides by 8 )
int = 22.5°
7X +15 X equals help me please
Mr. Frankel bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for #3 each and adult tickets for $5 each. How many adult tickets did Mr. Frankel buy?
How many adult tickets did he buy
please explain steps
Answer:
3 adult tickets and 5 children tickets.
Step-by-step explanation:
Make a chart:
1 adult + 7 children = 1(5)+7(3) = 26
2 adults + 6 children = 2(5)+6(3) = 28
3 adults + 5 children = 3(5)+5(3) = 30
4 adults + 4 children = 4(5)+4(3) = 32
5 adults + 3 children = 5(5)+3(3) = 34
6 adults + 2 children = 6(5)+2(3) = 36
7 adults + 1 child = 7(5)+1(3) = 38
The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.
Given f(x) = 5x ^ 2 and g(x) = x ^ 3 + 2x ^ 2 - 5x , what is f(x) * g(x)
Answer:
Step-by-step explanation:
f(x) * g(x) = (5x**2) * (x**3 + 2x**2 - 5x) using distribution of 5x**2 to all terms
= 5x**5 + 10x**4 - 25x**3
= 5x**3(x**2 + 2x - x)
martinbly.com
b)
Find the surface area of the prism.
10 ft
12 ft
5 ft
16 ft
19.6 ft
Answer:
55.5
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?
The Venn diagram shows that the number of students who offer accounting is 30.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
The number of students who offer accounting is:
= 25 + 5
= 30
The number of students who offer Economics is:
= 10 + 5
= 15
The number of students who offer only one subject will be:
= 25 + 10
= 35
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What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
seventeen less than a number is
Answer:
what number is it less than? i need that number to solve it
once you give it to me i will solve it
Step-by-step explanation:
MRP of pen drive is reduced from rupees 872 rupees 580 find the present age reduction in price......my explain me step by step.....
Answer:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
Step-by-step explanation:
Answer:
Step-by-step explanation:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
The Indirect speech of - said. "I was watching TV when the telephone rang."
Answer:
was,rang or had been , had rung
Step-by-step explanation:
He <was><had been> watching TV when the telephone <rang><had rung>.
At your local store, you are given a coupon for 20% off any store item purchased on Monday. When you return to your store, you notice that an item (normal price = $50) is on clearance for 40% off. You are allowed to use the coupon on the clearance item. How much should you pay for the item? Should it be 60% off of the normal price?
Answer:
$24
no, it is 48% off normal price
Step-by-step explanation:
clearance price = normal price - value of the 40% discount
value of the 40% discount = 0.4 x $50 = $20
Price = $50 - $20 = $30
final price = clearance price - value of 20% coupon
value of 20% coupon = 0.2 x $30 = $6
final price = $30 = $6 = $24
total value off normal price = $24 /$50 x 100 = 48%
Suppose a normal distribution has a mean of 98 and a standard deviation of
6. What is P(x292)?
O A. 0.16
B. 0.475
C. 0.84
D. 0.975
The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the distribution be a normal distribution where
The mean of the data is μ = 98
The standard deviation is σ = 6
Now , the Z-score is determined by z = (x - μ)/σ
On simplifying , we get
when x = 92
P ( x < 92 ) is
z = ( 92 - 96 ) / 6
z = -1
So , the p value of P ( x < 92 ) is 0.1587
On rounding to the nearest value , we get
P ( x < 92 ) = 0.16
Hence , the z-score is solved
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) How is the Domain for the function f(x) = (x restricted?
Sabrina borrowed $350000 with a 0.5% interest rate from Bank of America to buy a new condo in orange beach how did it take Sabrina to pay if the loan if she ended up pay &26250 interest plz help me
Answer:
t = 2466.67 years (about 2466 years 8 months)
Step-by-step explanation:
Given: Total P+I (A) = $350000, Principal (P) = $26250, Rate (R) = 0.5%
To find: How long did it take Sabrina to pay if the loan if she ended up pay $26250 interest?
Formula: [tex]t = (1/r)(A/P - 1)[/tex]
Solution: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate
First, converting R percent to r a decimal
r = R/100 = [tex]\frac{0.5 percent}{100}[/tex] = 0.005 per year,
then, solving our equation
t = (1/0.005)((350000/26250) - 1) = 2466.67
t = 2466.67 years
Therefore, it will take Sabrina 2466.67 years (about 2466 years 8 months) to pay off the loan.
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
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What’s the answer? Down below is a image of the question
Answer:
34
Step-by-step explanation:
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there is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer:
60/121
Step-by-step explanation:
There are two outcomes that are included in the event "2 different in color" -- either Red followed by Blue (RB) or Blue followed by Red (BR).
Probability of RB is [tex]\frac{5}{11}\times \frac{6}{11}=\frac{30}{121}[/tex] The denominator 11 does not change in the second fraction because you put the first marble back; still 11 marbles in the bag.
Probability of BR is [tex]\frac{6}{11} \times \frac{5}{11}=\frac{30}{121}[/tex]
Probability of RB or BR: add the probabilities to get 60/121.
Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
Find the volume of the sphere.
Either enter an exact answer in terms of T or use 3.14 for and
4
Answer:
268 units³
Step-by-step explanation:
V = 4/3 (pi)r³
V = 4/3 (3.14) (4³)
V = 4/3 (3.14) (64)
V = 4/3 (200.96)
V = 268
Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
answer if you want too
Answer:
your picture isnt loading
Step-by-step explanation:
Divide. Express your answer in simplest form. 6 1/4 divided by 2/5. Show work pls.
Answer:
15 5/8
Step-by-step explanation:
6 1/4 divided by 2/5
convert mixed numbers to improper fraction: 6 1/4 = 25/4
= 25/4 divided by 2/5
= 25/4 times 5/2
= 25 times 5/4 times 2
= 125/4 times 2
= 125/8
= 15 5/8
[tex]15 \frac{5}{8} [/tex] ✅
Step-by-step explanation:
[tex] \frac{6 \frac{1}{4} }{ \frac{2}{5} } \\ = \frac{25}{4} \times \frac{5}{2} \\ = \frac{125}{8} \\ = 15\frac{5}{8} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Packages of pencils cost $3.00 per
dozen. If Mr. Thomas wants to calcul
how much he will pay for 180 pencils
what operation should he perform?
(A) Divide 180 by 3
(B) Multiply 3 by 15
(C) Multiply 180 by 12
(D) Divide 180 by 12
Answer:
a
Step-by-step explanation:
because if they are 3.00 dollars then you decide that bye 180 to get your answers
Answer:
B
Step-by-step explanation:
because 180 is 15 dozen so 15 times 3 would give you the right answer
Can someone give me the equation on this and or how to right it A number is 7 more than 5 times another number and their difference is 78 Find the numbers
Answer:
(x is number)
x=7>5
Step-by-step explanation:
hope this helps
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
Adrian took out a simple interest loan for $2000. The rate on this loan is 7% and he will pay it back in 5 years. How much money will Adrian owe at the end of 5 years including interest?
Answer:
i think its 700
Step-by-step explanation:
7%of 2000 is 140 and 140 x 5 is 700
Answer: $700 interest
Note that the formula for simple interest is I=Prt
1. Identify the Principal amount (P), rate (r), and time (t)
Principal amount=$2,000
Rate: 7% (0.07)
Time: 5 years
2. Plug the numbers into the formula; always make sure that the rate is in decimal form and the time is in years.
2,000*0.07*5=700
3. Final answer: $700
Toronto FC have won 45% of their games and lost 42 of their games what percentage have they tied
Answer:
13
Step-by-step explanation:
45+42=87
100-87=13
1/10 of the M&M's in a bag are red and 1/5
are blue. What fraction of all the m&ms
are red and blue?
Answer:
3/10 of all the M & M's are red and blue.
Step-by-step explanation:
Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:
1/10 = 0.10
1/5 = 2/10 = 0.20
1/10 + 2/10 = X
3/10 = X
Therefore, 3/10 of all the M & M's are red and blue.
What is the value of x????
Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8