Answer:
There are 8 more girls
Step-by-step explanation:
If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.
Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.
what is 5k+(-2k)-(-1)
Answer:
Brainliest goes to me!
Step-by-step explanation:
5k-2k+1
3k+1
Which situation is best modeled with a division expression?
finding the number of equal-sized parts into which a number can be split
finding the combined value of several different numbers
finding the distance between two numbers on a number line
finding the total value when several of the same number are grouped together
Answer: Finding the number of equal-sized parts into which a number can be split
Step-by-step explanation:
Hi, a division expression is the division of 2 numbers that results in a quotient.
The quotient is the number of times that the second number in the division is contained in the first number.
For example 20 ÷ 2 = 10
Number 2 is contained 10 times in the number 10, or in other words, 20 can be split into ten equal-sized parts.
Feel free to ask for more if needed or if you did not understand something.
Answer:
A
Step-by-step explanation:
for edge
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
0 2x- 2
O x² – 8
o x² – 2x- 8
o x² + 2x - 8
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tree is cone shaped and has a radius of 2 feet. Find the volume of the tree if it is in the shape of a cone and its height is two times its radius. The radius of a cone whose height is is equal to two times its radius is given as: r equal to cube root of (3V/4π)
Answer:
Volume of Cone =
[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]
Thus, Volume = 16.75 cubic feet
18x+30=6(2x-1). What is a first step to isolate the variable there can be more than one answer A. Subtract 30 from 18x +30 B. Divide both sides by 6 C. Multiple both sides by 6 D. Multiple 2x-1 by 6
Answer:
Divide both sides by 6
or
Multiply 2x-1 by 6
Step-by-step explanation:
18x+30=6(2x-1).
Divide both sides by 6
18x/6+30/6=6/6(2x-1).
3x +5 = 2x-1 or
We could multiply 2x-1 by 6
18x+30 = 6(2x-1)
18x+30 = 12x-6
Answer:
D
Step-by-step explanation:
18x+30=6(2x-1)
My first step would be to distribute the 6 so that the next step you can subtract 30 from both sides.
Given g(x)=-5x-4, solve for x when g (x)=1
Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift box to fold into a pyramid. The base is a square with side lengths 10c m. The sides are 4 equilateral triangles with side lengths 10 cm and height h. The height h is approximately 8 2/3 cm. In square centimeters, what is the minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually?
Answer:
3280cm²
Step-by-step explanation:
We are told the gift box is folded into a Pyramid with a square base.
Hence, we are to find the Surface Area of a square pyramid
From the question, we are given:
Length of the base of the square = 10cm
Triangle
Side length = 10cm
Height = 8 2/3 cm
A square Pyramid has 5 faces: 4 triangles and 1 square.
Step 1
Find the Area of the square
Formula = Side length² this is because all the side of a square is equal.
Length of the base = 10cm
Area of the square = (10cm)²
= 100cm²
Step 2
Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.
Hence, for one triangle.
Area of a triangle = 1/2 × base × height
Base = side length = 10cm
Height = 8 2/3 = 8.6666666667cm
Area of a triangle = 1/2 × 10 × 8.6666666667
Area of a triangle = 43.333333333cm²
Since we have 4 triangles
We would have : 4 × 43.333333333cm²
= 173.33333333cm²
The Area of the 4 equilateral triangles =
173.33333333cm²
Step 3
The Surface area of the Square Pyramid
= Sum of the areas of all the faces.
= 100cm² + 173.33333333cm²
= 273.33333333cm²
Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²
Step 4
The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²
= 3280cm²
What are the solutions to the equation? 4x=32-x^2
Answer:
-8 and 4
Step-by-step explanation:
4x=32-x^2x^2 +4x - 32=0x^2+4x+4 - 36=0(x+2)^2- 6^2=0(x+2+6)(x+2-6)=0x+8=0 ⇒ x= -8x-4=0 ⇒ x=44x = 32 -x^2
Subtract 4x from both sides and rearrange the equation:
-x^2 -4x +32 = 0
Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a
From the rewritten equation: a=-1, b = -4 and c = 32
Solving for x you get x = -8 and x = 4
The solutions are -8 and 4
Which number produces a rational number when added to 5/8 ?
A. 0.777....
B. 5/6
C. 0.13241536...
D. -0.625
Answer:
option c is correct
Step-by-step explanation:
please mark me brainlest
please thanks
Answer:
Step-by-step explanation:
Answer is C. 0.132
Solve:
-9(-5-3x)=21
A) 8/9
B) -8/9
C) 22/9
D) -22/9
Answer: B) -8/9
Step-by-step explanation:
I would start by looking inside the parenthesis to see if anything could be simplified. We see the terms -5 and -3x, and upon realizing that there is no way to simplify, we can go ahead and just simplify the left side of the equation as much as we can before worrying about breaking the equation down. Distribute the -9 to the -5 and the -3x (multiply -9 by -5 and -9 by -3x). Multiplying two negative numbers will result in a positive value, so the left side of your equation should end up looking like this: 45+27x=21. Now, we can start working to get the variable on its own. Subtract 45 from both sides of the equation. On the left side this cancels out and leaves you with 27x. On the right side you have more of the negative value than positive value, so you end up with -24. The equation now looks like this: 27x=24. The only thing left to do is divide the equation by 27. On the left side of the equation, this leaves you with just x. On the right side, you get -24/27. Normally at this point I would divide out to get the decimal form (I prefer working with decimals) but bc the answer choices are all fractions there's not really a good use to, so instead let's just find the greatest common denominator (GCD) which would be 8. (Just as a clarification the GCD is the largest number you can divide both numbers by evenly.) Divide both the numerator and denominator by eight leaves you with -8/9. Therefore, x= -8/9.
Find the gradient of the line segment between the points (-5,-2) and (-3,-8)
Answer:
- 3
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)
m = [tex]\frac{-8-(-2)}{-3-(-5)}[/tex] = [tex]\frac{-8+2}{-3+5}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
anyone know this please ;)
Answer:
The planet to have the biggest mass is Jupiter
the radius of mercury is 2.44 × 10^5
the difference in mass between Jupiter and Saturn is 2.2 × 10⁴
write in algebraic expression to find the number of seconds in n minutes
What is the probability of getting tails when you flip a coin?
Answer: We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.
If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups
Answer:
x = 1 1/2 cups
1.5 cups
Step-by-step explanation:
We can use ratios to solve
14 pancakes 21 pancakes
------------------ = ------------
1 cup x cups
Using cross products
14x = 21*1
Divide each side by 14
14x/14 = 21/14
x = 3/2
x = 1 1/2 cups
The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter that is half the perimeter of the first. Write an expression for the perimeter of the smaller triangle and combine like terms. What is the simplified expression?
0.75s
2.5s
1.75s
5s
Step-by-step explanation:
Isosceles means that two sides are equal.
if the base is 1½s the other two sides will be ½s and½s
thus perimeter=1½+½+½ =2½s
smaller triangle:
perimeter=½(1½s+½s+½s)
=½(2½s)
=1¼s convert to decimal
=1.75s
The simplified expression of the given situation is 1.75s.
The correct option is C.
What is an isosceles triangle?A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.
Given:
The base of an isosceles triangle is one and a half times the length of the other two sides.
Let s represents the side of the triangle.
The base = ([tex]1\frac{1}{2}[/tex])s = 3s/2
So, the other two sides are s and s.
So, the perimeter,
= 3s/2 + s/+ s
= 7s/2
A smaller triangle has a perimeter that is half the perimeter of the first.
That means,
the perimeter of the smaller triangle,
= 1/2(7s/2)
= 7s/4
= (1.75)s
Therefore, (1.75)s is the required expression.
To learn more about the isosceles triangle;
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Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded his score for each round. Rickie’s mother asked him if his scores varied more in June or July. Rickie claims that a measure of center will answer his mother’s question. Is Rickie’s claim correct?
Answer:
The measure of variability should be used.
Step-by-step explanation:
It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.
Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.
This is because:
The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.
Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.
Thus, to answer his mother's question, the measure of variability should be used.
the sum of ages of Ali and Adam is 45 years. if Ali is 5 years younger than Adam what is their ages
Answer:
Ali is 20
Adam is 25
Step-by-step explanation:
Liam and his children went into a movie theater and will buy bags of popcorn
and pretzels. He must buy at least 8 bags of popcorn and pretzels altogether.
Write an inequality that would represent the possible values for the number
of bags of popcorn purchased, b, and the number of pretzels purchased, p.
Answer:
At least can be denoted by the inequality operator ≥. We need to find the sum of popcorn and pretzels which can be written as b + p so the answer is:
b + p ≥ 8.
Please help me asap!
Answer:
x value is 10 as per as the question its value is 10
Please help me will mark brainliest
Answer:
-10
Step-by-step explanation:
Which numbers are the extreme of the proportion shown below?
Answer:
4,35
Step-by-step explanation:
4/7 = 20/35
Converting it into ratio form
4:7 = 20:35
The Extremes of this proportion are 4,35
While, the means of this proportion are 7, 20
Please help! It’s an easy multiple choice question. Question in the photo.
Answer:
Step-by-step explanation:
Just so you know, the answer is NOT B, as one person stated.
In order for a right triangle to be a right triangle, 2 things have to happen. One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.
Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17. Using Pythagorean's Theorem to test:
[tex]8^2+15^2=17^2[/tex] and
64 + 225 = 289 and
289 = 289. So a is a right triangle. Now for b:
[tex]20^2+21^2=29^2[/tex] and
400 + 441 = 841 and
841 = 841. So b is also a right triangle. Now for c:
[tex]9^2+16^2=18^2[/tex] and
81 + 256 = 324 and
337 = 324. Obviously, 337 does not equal 324, so c is not a right triangle.
. Obviously, 337 does not equal 324, so c is not a right triangle.
How many observations are accounted for in the stem and leaf graph?
A) 5
B) 7
C) 18
D) 19
Answer:
C) 18
Step-by-step explanation:
numbers are 100,101,90,93,94,94,95,81,86,87,89,70,72,76,69,56,58,49
The double number lines show the ratio of minutes to days. How many minutes are in 2 days
Answer:
2880 minutes are in two days
PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
A fourth degree polynomial:
[tex]2x^{4} + 10x^{3} + 21[/tex]
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example
(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18
This demonstrates closure because 11x^2 + 18 is also a polynomial
Step-by-step explanation:
Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form
Part B: Closure property has been proved in the addition of polynomials
What is Polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Part A
Example of fourth degree polynomial with three terms is
[tex]x^{4}+2x+20[/tex]
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on
Hence, it is a standard form
Part B
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial
Example
(2x+6)+(5x+2)= 7x+8
Hence, the Closure property has been proved in the addition of polynomial
Learn more about Polynomial here
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Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 26
miles per gallon on the highway if your average speed is 45
miles per hour, and it averages 18
miles per gallon on the highway if your average speed is 65
miles per hour. Answer parts (a) and (b) below.
a. What is the driving time for a 2500
-mile
trip if you drive at an average speed of 45
miles per hour? What is the driving time at 65
miles per hour?
Answer:
Step-by-step explanation:
Suppose the car mileage actually varies slightly with the driving speed of the car
Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,
and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.
The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.[/tex]
The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.[/tex]
The function has a y-intercept of (0, 4) and a multiplier of 0.8. 1) Whats the initial value? 2) Is it exponential growth or decay? 3) What is the exponential equation?
Answer:
1) 4
2) exponential decay
3) [tex]y = 4(0.8)^x[/tex]
Step-by-step explanation:
1) The initial value or an exponential function is the y-intercept.
Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:
y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.
Therefore the y intercept is 4
2) Since the multiplier is greater than 0 and less than one, it is an exponential decay
3) standard exponential function of the form y(x) = a•bˣ, at (0,4),
4 = a(b)⁰
a = 4
b = multiplier = 0.8
Therefore: [tex]y = 4(0.8)^x[/tex]
What is the simplified form of this expression?
Answer:
B. -7[tex]x^{2}[/tex] + 3x + 5
Step-by-step explanation:
(-3[tex]x^{2}[/tex] + x + 5) - (4[tex]x^{2}[/tex] - 2x)
-3[tex]x^{2}[/tex] + x + 5 - 4[tex]x^{2}[/tex] - 2x
Combine like terms
-3[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] = -7[tex]x^{2}[/tex]
x - -2x = x + 2x = 3x
5
-7[tex]x^{2}[/tex] + 3x + 5
I hope this helps :))
