Answer:
You should be able to answer the question in 35 different ways.
Step-by-step explanation:
5 * 7 = 35
That's how I see it.
Final answer:
Using the Fundamental Counting Principle, there are [tex]5^7[/tex] or 78,125 ways to answer a 7-question multiple-choice test where each question has 5 answer choices.
Explanation:
To determine the number of ways you can answer a multiple-choice test with 7 questions, where each question has 5 answer choices, you can use the Fundamental Counting Principle. This principle states that if there are n ways to do something and m ways to do another thing, then there are n*m ways to do both things.
In this case, for each of the 7 questions, you have 5 possible answers. So, the number of ways to answer all questions is 5 * 5 * 5 * 5 * 5 * 5 * 5, or [tex]5^7[/tex]. Therefore, there are 78,125 ways to answer the 7 questions on the test.
if a bicycle wheel has a diameter of 21 inches what the exact circumference?
Answer:
Circumference = 65.97344573
Step-by-step explanation:
Given the diameter of a circle, we can use the formula C = πd to find the circumference.
C = circumference
π = pi
d = diamater
Equation: 21(π) = 65.97344573
Make sure to round to whatever decimal place is asked for!
Highest common factor of 32,48 and 72
Answer:
the hcf of 32 48 and 72 is 8
Step-by-step explanation:
We have ,
32 = 2×2×2×2×2 = 2^{5}
48 = 2×2×2×2×3 = 2⁴×3¹
72 = 2×2×2×3×3 = 2³×3²
Now,
HCF(32,48,72) = 2³ = 8
/* Product of the smallest power of each common prime factors of the numbers */
The highest common factor of 3248 and 72 is 8.
What are LCM and HCF?The LCM of two or more numbers is the least common multiple of them.
The HCF of two or than two given numbers are the highest number that divides them completely.
Given, Are two numbers 3248 and 72.
Let us see is 3248 is completely divisible by 72, it is not.
Now, Check if 3248 is completely divisible by 36, it is not.
Other factors of 72 are 18, and 18 also does not divide 3248.
8 divides 328 complete so the HCF of 3248 and 72 is 8.
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Find the lateral surface area of the rectangular pyramid? PLEASE HELP!! Do you have to find the slant height first?
I will award brainliest answer!! Thanks!
Answer:
The lateral surface area of the rectangular pyramid is equal to sum of area of 4 lateral triangles.
Here, the base is square, then 4 lateral triangles have equal area.
=> Lateral surface area of this rectangular pyramid:
A = (area of lateral triangle) x 4
= (12 x 14 x 1/2) x 4 = 336 (ft2)
=> Option C is correct.
Hope this helps!
:)
The lateral surface area of the given rectangular pyramid is 336 ft²
What is lateral surface area?The lateral surface of an object is all the sides of the object, excluding its base and top.
The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
Given that, a rectangular pyramid, we need to find the lateral surface area of the rectangular pyramid,
The lateral surface area of the rectangular pyramid is equal to the sum of area of 4 lateral triangles.
Here, the base is square, then 4 lateral triangles have equal area.
Therefore, the lateral surface area of this rectangular pyramid:
A = (area of lateral triangle) x 4
= (12 x 14 x 1/2) x 4
= 336 ft²
Hence, the lateral surface area of the given rectangular pyramid is 336 ft²
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7.142857142857143 to the next whole number
Answer:
the answer is 7
Step-by-step explanation:
A circle of a certain radius has an area which is numerically 5 times the value of the circumference. What is the radius of the circle?
We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.
We know that area of circle with a radius of r units is [tex]\pi r^2[/tex].
We know that circumference of a circle is [tex]2\pi r[/tex].
5 times the value of circumference would be [tex]5(2\pi r)=10\pi r[/tex].
Now we will equate 5 times circumference with area as:
[tex]\pi r^2 = 10\pi r[/tex]
Let us solve for r.
[tex]\pi r\cdot r = 10\pi r[/tex]
[tex]\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}[/tex]
[tex]r=10[/tex]
Therefore, the radius of the circle would be 10 units.
What’s the distance between 120 and -50 on a number line ?
Answer:
170
Step-by-step explanation:
The distance between 120 and -50 on a number line is equal to 170.
What is a number line?In Mathematics and Euclidean Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.
This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).
Based on the information provided above, we would determine the distance between the two numerical values 120 and -50 by using the number line as follows:
x = 120 - (-50)
x = 120 + 50
x = 170.
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PLEASE HELP!! 25 POINTS!!!
Agnes and Jamie left the apartment at the
same time traveling in the same direction
(along the same road). Agnes is traveling
at 54 mph and Jamie at 60 mph. How
many hours will it be before Jamie is 12
miles ahead of Agnes?
Answer:
2 Hours
Step-by-step explanation:
If Jamie is going 6 miles per hour faster than Agnes, then in 2 hour Jamie should be 12 miles ahead of Agnes
On his last three tests, Mark scored 85, 95, 80. What grade must he get on his next test to have an average of 90 for all four tests
Answer: 100
Step-by-step explanation:
85+95+80=260 divided by 3 is 86.6 repeating and getting 100 on his next test would add up to 360 and 360/4 is 90
what is the factorization of x2 + 2x − 63
Answer:
(x+9) (x-7)
Step-by-step explanation:
x^2 + 2x − 63
What 2 numbers multiply to -63 and add to 2
9* -7 = -63
9+-7 = 2
(x+9) (x-7)
A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The table shows the results of this taste test.
Based on the information given, which of the following statements is true?
a) 40% of the participants were boys.
b) 10/35 of the participants who preferred B are girls.
c) The ratio of boys who preferred C is equal to the ratio of girls who preferred C.
d) 20/35 of the boys preferred D.
Answer:
it is c hope it helps have a good day
Answer:
(C) The ratio of boys who preferred C is equal to the ratio of girls who preferred C
Step-by-step explanation:
A is incorrect because the ratio of girls to boys in the survey is 120/80 which is 60%
B is incorrect because the ratio of girls who prefrerred B to the ratio of boys is 10/25 not 10/35
D is incorrect because once again 20/15 does not equal 20/35
C is the correct answer and the only correct answer despite the multiple choice question because the ratio of boys that preferred c to girls is the exact same
ahhhhhhhhhh to lazy :(
Answer:
28
Step-by-step explanation:
10 - 12^2 ÷(-2)^3
PEMDAS
Exponents first
10-144÷(-8)
Then multiplication and division
10- (-18)
Then add and subtract
10+18
28
Answer:
why don't you answer mine
Which expressions are equivalent to -56z + 28.
A. 1/2 *(-28z + 14
B. (-1.4z+0.7) *40
C. (14 -7z) *(-4)
D.(8z - 4) (-7)
E. -2(-28z-14)
There are 2 right answers. Plz help!
The expressions that are equivalent to -56z + 28 are B. (-1.4z+0.7) * 40 and D.(8z - 4) * (-7), as they both simplify the given expression.
You are looking to find expressions that are equivalent to -56z + 28. Let's simplify each of the given options:
A. 1/2 *(-28z + 14) simplifies to -14z + 7, so this is not equivalent to -56z + 28.
B. (-1.4z+0.7) * 40 simplifies to -56z + 28, which is equivalent.
C. (14 -7z) *(-4) simplifies to -56z + 56, which is not equivalent to -56z + 28.
D.(8z - 4) * (-7) simplifies to -56z + 28, which is equivalent.
E. -2(-28z-14) simplifies to 56z + 28, which is not equivalent since the terms have opposite signs.
The equivalent expressions to -56z + 28 are options B and D.
since 2010 the town of fall river has been experiencing a growth in population according to the model what will the population of fall river be in 2020
Answer:
the population of fall river will be 48558
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Since 2010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed time, t, in years, since 2010 and the town's population, P(t left parenthesis, t, right parenthesis, is modeled by the following function. P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex] According to the model, what will the population of Fall River be in 2020? Round your answer, if necessary, to the nearest whole number.
My answer:
Given the exponential function:
P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex] where:
t in years, since 2010 the town's population, P(t)As we know, from 2010 to 2010 are 10 years
Hence, to find the population of fall river be in 2020, we substitute t =10 into the given function:
[tex]P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558[/tex]
So in 2020, the population of fall river will be 48558
Hope it will find you well.
Answer:
By 2020 the population of Fall River will be 48558
Step-by-step explanation:
Here, we note that the equation for the model is p(t) = 36,800×2^(t/25)
That is the format;
[tex]p(t) = 36,800 \times 2^{\frac{t}{25}[/tex]
Where:
t = Number of years since 2010
Therefore, the population of the town in 2020 can be found by first finding the number of years between 220 and 2010 and plugging the value into the equation as follows;
Number of years, t = 2020 - 2010 = 10 years
Hence;
[tex]p(t) = 36,800 \times 2^{\frac{10}{25}} = 48557.89 \approx 48558[/tex]
Therefore, according to the model, by 2020 the population of Fall River will be 48558.
The Vega family must pay $1776 each year in property taxes for their home they pay the tax and equal monthly payments your house payment is $948 a month before the text what is your house payment each month with the tax
Answer:
$1,096.00 per month
Step-by-step explanation:
Divide 1776 by 12 for one payment per month equals 148.
Add the monthly house payment $948 to the monthly tax payment $148. The total monthly payment due is $1,096.00.
5g - 10 = -25
please help!
Answer:
g = -3
Step-by-step explanation:
5g - 10 = -25
5g = -25 + 10
5g = -15
g = -15/5
g = -3
hope it helps!
Answer:
g = - 3
Step-by-step explanation:
5g - 10 = - 25
5g = - 25 + 10
5g = - 15
g = - 15 : 5
g = - 3
Plz help meI will mark u brainliest 2.. Write an expression that represents the amount of money they collected each night. The total earned for both nights is 1,651: a. The first night, the school sold 60 adult tickets and 94 student tickets. b. The second night, the school sold 83 adult tickets and 127 student tickets.
Answer:
143a + 221b = 1,651
Step-by-step explanation
143a + 221b = 1,651
1.Add the "a"s and "b"s together seperatly.
2.Then put them together in a equation.
3.The a you added together is 143a.The b you added together is 221b.
PLEASEEEEEEEEE HELP 15 POINTS
Answer:
If I remember correctly,
P x 9 = $60.75 and 6 x(times) $1.25=c
Step-by-step explanation:
First problem:
Since the total price of all 9 sandwiches is $60.75, that means that the price of one sandwich nine times will equal the total price.
Second problem:
Rather than giving you the total price, it gives you the price of one drink, so to find the total price you would need to multiply the price of one drink by the number of drinks to get the total (the total being c in this case)
A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How many sweatshirts does the company make each year?
Answer:
Step-by-step explanation:
Given that,
The company makes 4 different sweat shirts
Each year they make 60,000 of each kind.
So, if they will make 60,000 sweat shirt for each brand and the company design 4 different brand.
So, number of brand is 4
n = 4.
Then,
1 brand = 60,000
Therefore, 4 brand = 60,000 × 4
4brand = 240,000 sweat shirts.
So, in a year the company will make 240,000 sweat shirts.
The company makes a total of 240,000 sweatshirts each year by producing 60,000 of each of the 4 different kinds.
The question asks for the total number of sweatshirts produced by a company each year if it makes 60,000 of each kind and there are 4 different kinds of sweatshirts.
Identify the number of different kinds of sweatshirts: 4.Determine the number of each kind of sweatshirt made annually: 60,000.Multiply the number of kinds by the number of each kind: 4 x 60,000 = 240,000.Therefore, the company makes a total of 240,000 sweatshirts each year.
Find the whole.
25% of what number is 70?
Answer:280
Step-by-step explanation:
25% of x = 70
x= 280
Find the circumference of the circle that has a radius measurement of 11 1/4
Answer:
22.5π units² or about 70.65 units²
Step-by-step explanation:
11 [tex]\frac{1}{4}[/tex] is equivalent to 11.25
The formula for the circumference of a circle is 2πr. Using that formula we get:
2*π*11.25 = 22.5π ≈ 70.65
Answer:
70.69 or 22.5 pi
Step-by-step explanation:
To find the circumference of a circle, you can use the formula:
2 x pi x radius
Using this formula, we can substitute the information that we already know, and solve for the circumference:
2 x pi x 45/4
6.28 x 45/4
70.69 or 22.5 pi
What are all the simplified form of the equation 3(4x - 2) = 9 + 2x + 5
Step-by-step explanation:
Step 1: Distribute
[tex]3(4x - 2) = 9 + 2x + 5[/tex]
[tex](3 * 4x) + (3 * -2) = 14 + 2x[/tex]
[tex]12x - 6 = 14 + 2x[/tex]
Step 2: Add 6 to both sides
[tex]12x - 6 + 6 = 14 + 6 + 2x[/tex]
[tex]12x = 20 + 2x[/tex]
Step 3: Subtract 2x from both sides
[tex]12x - 2x = 20 + 2x - 2x[/tex]
[tex]10x = 20[/tex]
Step 4: Divide both sides by 10
[tex]10x / 10 = 20 / 10[/tex]
[tex]x = 2[/tex]
Answer: [tex]x = 2[/tex]
An internet company Randomly selected 50 of his customers and ask them how many hours per week to use the Internet of those surveyed 28 use the Internet more than 15 hours per week based on the data if the company has 800 subscribers how many use more than 15 hours per week
Answer:
448 subscribers use more than 15 hours per week
Step-by-step explanation:
In this question, we shall be using the proportion of what was gotten from a survey to estimate the number of subscribers that use more than 15 hours per week
From the question, we can see that out of the 50 people surveyed, 28 use more than 15-hours per week based on data
The proportion that thus use 15-hours per week based on data is 28/50
Now to know the number of subscribers out of 800 that use more than 15-hours per week based on data we have ; 28/50 * 800 = 28 * 16 = 448 subscribers
PLEASE HELP WITH THIS QUESTION!!
Answer:
y = 2 * 3^x
Step-by-step explanation:
y = a b^x
a is the initial value ( when x = 0)
The initial value is 2
y = 2 b^x
Pick a value (1,6) and substitute it in
6 = 2 * b^1
6 = 2 * b
Divide by 2
6/2 = 2/2 b
3 =b
y = 2 * 3^x
Find the circumference of a circle with radius, r = 19.5m.
Give your answer in terms of pie
Answer:
39π cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here r = 19.5, thus
C = 2π × 19.5 = 39π cm
A car is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
VX
O When the number of hours increases, the number of miles decreases.
O When the number of hours increases, the number of miles increases.
O When the number of hours decreases, the number of miles increases
O When the number of hours decreases, the number of miles stays the same.
Mark this and return
Save and Exit
Next
Submit
Answer: The answer is the second one Letter B.
when the number of hours increases, the number of miles increases
Hope this help You Yo.
The soccer balls at the sporting goods store are on sale for 20% off the regular price. What is the sale price if the regualr price is $28?
Ella bought 11/12 of a pound of green grapes and 3/4 of a pound of red grapes. How much more did the green grapes weigh than the red grapes?
Answer:
1/6
Step-by-step explanation:
11/12-3/4
=11/12-9/12
=2/12
=1/6
Answer:
2/12 or 1/6
Step-by-step explanation:
11/12-3/4
First convert the 3/4 to 9/12 becase the numbers have to have the same denominater.
3/4=9/12
11/12-9/12=2/12
Simplified would be 1/6
Suppose you have the same box with a volume of 400 in^3. And a height of 5 in. You now also know that the box is 8 in. Wide. What is the length of the box?
Answer:
Step-by-step explanation:
Volume of the box = 400 cubic inches
length * width * height = 400
length * 8 * 5 = 400
length * 40 = 400
length = 400/40
length = 10 inches
Answer:
Step-by-step explanatio
it is C
A baking pantry is making packages. Each package contains 4 identical bags of flour and a 7 pound bag of sugar. The package weighs a total of 64 pounds. How much does each bag of flour way
Answer:
The answer is 14.25 pounds.
Step-by-step explanation:
If the package contains 4 bags of flour and a 7 pound bag of sugar which weighs 64 pounds in total;
The total weight of the flour bags is 64 - 7 = 57 pounds.Since the flour bags are identical, they weigh the same. If we divide 57 by 4, we can find that the weight of each bag of flour is 57 / 4 = 14.25 pounds.I hope this answer helps.
Line d has a slope of –7 4 . Line e is perpendicular to d . What is the slope of line e ? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Final answer:
The slope of line e, which is perpendicular to line d with a slope of -7/4, is 4/7.
Explanation:
The slope of line d is -7/4. To find the slope of a line perpendicular to d, we use the property that the product of the slopes of two perpendicular lines is -1. So, the slope of line e is the negative reciprocal of -7/4.
To find the negative reciprocal, we find the reciprocal by flipping the fraction and then negate it by changing the sign. Therefore, the slope of line e is 4/7.