Tina will need 64 cardboard building blocks to build the wall.
Step 1: Convert all measurements to inches.
The thickness of the wall is already 4 inches.
The height of the wall is 3 feet. Since 1 foot = 12 inches, then:
[tex]3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}[/tex]
The length of the wall is 12 feet. Therefore:
[tex]12 \text{ feet} = 12 \times 12 \text{ inches} = 144 \text{ inches}[/tex]
Step 2: The volume of a rectangular wall can be found using the
formula:
[tex]\text{Volume} = \text{Length} \times \text{Height} \times \text{Thickness}[/tex]
Substituting the values:
[tex]\text{Volume} = 144 \text{ inches} \times 36 \text{ inches} \times 4 \text{ inches}[/tex]
[tex]\text{Volume} = 20736 \text{ cubic inches}[/tex]
Step 3: The dimensions of the block are 9 inches x 9 inches x 4 inches,
so:
[tex]\text{Volume}_{\text{block}} = 9 \text{ inches} \times 9 \text{ inches} \times 4 \text{ inches}[/tex]
[tex]\text{Volume}_{\text{block}} = 324 \text{ cubic inches}[/tex]
Step 4: To find out how many blocks are needed for the wall, divide the
total volume of the wall by the volume of one block:
[tex]\text{Number of blocks} = \frac{\text{Volume of wall}}{\text{Volume of one block}}[/tex]
[tex]\text{Number of blocks} = \frac{20736 \text{ cubic inches}}{324 \text{ cubic inches}}[/tex]
[tex]\text{Number of blocks} = 64[/tex]
A number cube is rolled 300 times. Predict how many times a number greater that 3 would be rolled
Answer:
150
Step-by-step explanation:
4, 5 and 6 are all numbers greater than 3.
The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.
The chances of rolling a number greater than 3 is thus 3/6, or 1/2.
This is theoretical probability; you haven't actually observed this happening.
We can now multiply (300 rolls) by this probability 1/2, obtaining 150.
We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.
If b+3/7 = 2/5 then which of the following is true?5b + 15 = 14 b + 3 = 14 5b + 3 = 14 b + 15 = 14
Answer:
The first one is true. 5b+15=14
Step-by-step explanation:
(b+3)/7= 2/5
After cross-multiplication:
5(b+3)=2*7
5b+15=14
Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. b What is the length of a diagonal of this quadrilateral?
Answer:
12 inches.
Step-by-step explanation:
The quadrilateral will be rectangle and the diagonals will be parallel and equal to the sides of the rhombus.
If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.
What is a rhombus?A rhombus is a quadrilateral (has four sides and four angles) in which the opposite sides are equal and parallel. All the sides of a rhombus are equal.
If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.
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9. What’s the answer to this please
Cindy had 13 stickers. She bought 18 stickers from a store in the mall and got 5 stickers for her birthday. Then Cindy gave 8 of the stickers to her sister and used 10 to decorate a greeting card. How many stickers does Cindy have left?
Answer:
18 stickers.
Step-by-step explanation:
Cindy buys 18 more stickers in the start. This results in 13+18= 31 stickers. She then gets five for her birthday. 31+5=36 so she now has 36 stickers but she then gives eight away which means she has 36-8=28 stickers. She uses ten stickers to decorate so Cindy has 28-10=18 stickers left
Answer:
si esta bien
Step-by-step explanation:
A sandwich shop sells sandwiches for $5.95 each, including tax. The shop received a total of $71.40 from the sounds of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, X,sold by the the sandwich shop that afternoon?
A:5.95+x equals 71.40.
B:5.94 divided 71.40 equals.
C:5.95x equals 71.40
D:5.95 divided times equals 71.40.
Answer:
C
Step-by-step explanation:
5.95(x)=71.40
7140/595=12
5.95(12)=71.40
The correct equation to find the number of sandwiches sold, X, is C: 5.95X = 71.40, which shows a direct correlation between the price per sandwich and the total income.
The question asks which equation can be used to determine the number of sandwiches, X, sold by the sandwich shop one afternoon given that each sandwich is sold for $5.95 and the total revenue is $71.40. The correct choice is C: 5.95X = 71.40. This is because to find the number of sandwiches sold (X), we need an equation that relates the price per sandwich to the total income from selling X number of sandwiches. Here, each sandwich is $5.95, and when you multiply that by the number of sandwiches sold, you should get the total sales of $71.40. Therefore, the equation is 5.95X = 71.40, where you can solve for X to find the total number of sandwiches sold.
Write 10 2 /19 as an improper fraction.
Answer:192/19
Step-by-step explanation:
10/1 +2/19=190/19+2/19=192/19
Answer: 192/19
Step-by-step explanation:
Estimate the answer to:
341 ÷ 0.28
340 divided by 0.3 = 1133.3
hope this helps xx
Solve the two-step equation.
part : a
-9x + 0.4 = 4
Which operation must be performed to move all the constants to the right side of the equation?
part: b
Then, which operation must be performed to isolate the variable?
part: c
The solution to the equation is x =
a)
Subtract 0.4 from both side.
-9x +0.4 = 4
-9x + 0.4 - 0.4 = 4 - 0.4
-9x = 3.6
b)
divide by -9 both side
-9x/-9 = 3.6/-9
x = -0.4
c) x = - 0.4
The steps needed to solve the given equation is required.
Adding the opposite value of the constant to both sides.
Divide both sides by the coefficient of the variable.
The solution to the equation is [tex]x=-0.4[/tex]
The given equation is
[tex]-9x+0.4=4[/tex]
In order to solve this we first move constants to the side opposite of the variable.
This is done by adding the opposite value of the constant to both sides.
[tex]-9x+0.4-0.4=4-0.4[/tex]
Here [tex]0.4[/tex] is the constant so we add [tex]-0.4[/tex] to both sides.
[tex]\Rightarrow -9x=3.6[/tex]
Now, we divide both sides by the coefficient of the variable.
[tex]\Rightarrow \dfrac{-9x}{-9}=\dfrac{3.6}{-9}\\\Rightarrow x=-0.4[/tex]
The solution to the equation is [tex]x=-0.4[/tex]
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The equation of a line is given by 4x-3y=12.How do you solve for x
Simplifying
4x + -3y = 12
Solving
4x + -3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
4x + -3y + 3y = 12 + 3y
Combine like terms: -3y + 3y = 0
4x + 0 = 12 + 3y
4x = 12 + 3y
Divide each side by '4'.
x = 3 + 0.75y
Simplifying
x = 3 + 0.75y
what is the solution to the equation |10-5y| =20
a) y=2
b) y=4
c) y=6
d) y=10
Answer:
The correct answer is option c) y = 6
Step-by-step explanation:
It is given that|10-5y| =20
Check each option
a) y = 2
|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20
b) y = 4
|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20
c) y = 6
|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20
d) y = 10
|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40| ≠ 20
From the above result we get the correct answer is option c) y = 6
Answer:
The correct answer option is a) y =2.
Step-by-step explanation:
We are given the following equation and we are to find its solution:
[tex] | 1 0 - 5 y | = 2 0 [/tex]
Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.
[tex] 1 0 - 5 y = 2 0 [/tex]
[tex] -5 y = 2 0 - 1 0 [/tex]
[tex] -5 y = 1 0 [/tex]
Ignoring the negative sign because of mod.
[tex]y=\frac{10}{5}[/tex]
y = 2
A line contains the points (a,b) and (a+3,b+3). Find the equation of the line in terms of a and b in point slope form and then convert it to slope intercept form?
Answer:
y - b = 1(x - a) - point-slope formy = x + b - a - slope-intercept formStep-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (a, b) and (a + 3, b + 3). Substitute:
[tex]m=\dfrac{b+3-b}{a+3-a}=\dfrac{3}{3}=1[/tex]
[tex]y-b=1(x-a)[/tex] - point-slope form
Convert to the slope-intercept form: y = mx + b:
[tex]y-b=x-a[/tex] add b to both sides
[tex]y=x+b-a[/tex] - slope-intercept form
Answer:
Step-by-step explanation:
answer for edmentum
[tex]7b-3[/tex]
Which phrase describes the expression?
a. the difference of 7 plus and number b and 3
b. 7 times the difference of a number b and 3
c. 3 subtracted from the product of 7 and a number b
d. the product of 3 subtracted from 7 and a number b
The answer would be C
The phrase that describes the expression is 3 subtracted from the product of 7 and a number b
Given the expression 7b -3, we are to interpret the expression as a statement.
Let the unknown number in the expression is "b"7b represents the product of 7 and a number "b"7b -3 means that 3 is less than the product of 7 and a number "b"Hence the phrase that describes the expression is 3 subtracted from the product of 7 and a number b
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If b2 + 2b − 24 = 0, and b < 0, what is the value of b?
A) −6
B) −4
C) −2
D) 0
The value of b is -6.
Explanation:To find the value of b, we need to solve the quadratic equation b2 + 2b - 24 = 0.
Since b < 0, we can eliminate the positive solution.
We can factor the equation by finding two numbers whose product is -24 and sum is 2.
The numbers are -4 and 6.
So, the factored form of the equation is (b - 4)(b + 6) = 0.
Setting each factor equal to zero, we find that b = -6 or b = 4.
Since b < 0, the value of b is -6.
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Final answer:
Using the quadratic formula, we find that b = -6 (option A), considering the requirement that b < 0 for the equation b² + 2b - 24 = 0.
Explanation:
To find the value of b given the quadratic equation b² + 2b − 24 = 0 and knowing that b is less than zero, we can use the quadratic formula:
The quadratic formula is −b ± √(b² − 4ac /2a), where a, b, and c are coefficients from the quadratic equation in the form ax2 + bx + c = 0.
In this case, a = 1, b = 2, and c = −24. Applying these values to the quadratic formula, we have:
−(2) ± √((2)² − 4(1)(−24) /2(1))
The discriminant part of the formula, b² − 4ac, equals (2)² − 4(1)(−24) = 4 + 96 = 100. Therefore, the square root of the discriminant is 10.
Simplifying further, we have:
(−2 ± 10) / 2 = −6 or +8
Since b < 0, we disregard the positive solution and consider b = −6, which is option A.
A rectangle has a length of 2x +3 and a width of x + 1 (as shown below). Find the perimeter of the rectangle.
Answer:
6x + 8
Step-by-step explanation:
The perimeter of the rectangle
P = 2(L + W)
Plug in
= 2(2x + 3 + x + 1)
= 2(3x + 4)
Distributive property
= 6x + 8
Answer:
The perimeter of the rectangle = 6x + 8
A test consists of 20 true/false questions. If a student guesses on each question, what Is the probability of getting exactly 15 correct
Answer:
50%
Step-by-step explanation:
due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong
need help before 6:00am tomorrow morning
Answer:
1) true
2)False
3) False
4)true
Step-by-step explanation:
1) I doubled 50 to make a hundred girls = 100% and theni had to double 18 to get 36= 36%
2) because it is 8.4%
3) Because the total number of girls is the highest for 1 fruit
1/2 + 1/6 is simplest form
Answer:
[tex]\frac{2}{3}[/tex]Step-by-step explanation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]
⇒ [tex]\frac{3}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex]
⇒[tex]\frac{2}{3}[/tex]
PLEASE HELP ME!!! I WILL AWARD BRAINLIEST!! SOLVE EACH!!
Rewrite without absolute value for the given conditions:
1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3
2) y=|x−3|+|x+2|−|x−5| , 3 < X < 5
Answer:
1. x
2. 3x-6
Step-by-step explanation:
1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3
|x−3| will be less than zero if -2 < X < 3 so rewrite it as 3-x
|x+2| will be greater than zero if -2 < X < 3 so we can leave it as x+2
|x−5| will be less than zero if -2 < X < 3 so we rewrite it as 5-x
1. 3-x + x+2 - (5-x)
Combine like terms
5 - (5-x)
Distribute
5 - 5+x
x
1) y=|x−3|+|x+2|−|x−5| , IF 3 < X < 5
|x−3| will be greater than zero if 3 < X < 5 so leave it as x-3
|x+2| will be greater than zero if 3 < X < 5 so we can leave it as x+2
|x−5| will be less than zero if -2 < X < 3 so we rewrite it as 5-x
x-3 + x+2 - (5-x)
Combine like terms
2x-1 - (5-x)
Distribute
2x-1 - 5+x
3x-6
A polynomial function has a zeros at -1,2,7 and all are multiplicity of 1 write a function in standard form that could represent this function
Final answer:
To create a polynomial with zeros at -1, 2, and 7, each with a multiplicity of 1, you start with the factored form (x + 1)(x - 2)(x - 7) and expand it to get the standard form x^3 - 8x^2 + 15x + 14.
Explanation:
The question involves finding a polynomial function with given zeros. When a polynomial has zeros of -1, 2, and 7, all with a multiplicity of 1, the function can be expressed as product of linear factors associated with each zero. Starting from the factored form f(x) = (x - (-1))(x - 2)(x - 7), which encapsulates the given zeros, you can then expand this expression to get the polynomial in its standard form.
The expanded form of the polynomial is then f(x) = (x + 1)(x - 2)(x - 7), which, when expanded, yields f(x) = x^3 - 8x^2 + 15x + 14. This is a polynomial function in standard form that has the required zeros, each with a multiplicity of 1.
Translate this phrase into an algebraic expression: 4 less than the product of 7 and a number (x).
A. 4 - 7x
B. 7x - 4
C. 7(x - 4)
D. x/7 - 4
Answer:
B. 7x - 4
Step-by-step explanation:
A product of 7 and X means they will be multiplied. You can't subtract 4 until you know the product of 7 and X so that's why you subtract it after.
solve the equation: -4 (8+y) = 90
-32-4y=90
-4y=122
Y=-30.5
The solution is y =30.5
Step-by-step explanation:-4 (8+y) = 90
-32 - 4y = 90
Adding 32 on both sides
-32 - 4y +32 = 90 + 32
-4y = 122
or y = 30.5
what is the area of the space that Nadia has shown for scrapbooking
Answer:
52
Step-by-step explanation:
Answer:
The answer is,52
Step-by-step explanation:
Definition of area:The area of a 2D form is the amount of space within its perimeter. It's measured in square units like [tex]cm^{2}[/tex],[tex]m^{2}[/tex] , and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral.
According, to the question:
[tex]Area=l[/tex]×[tex]b[/tex]
area=13×4
area= 52
Hence, The scrapping area is 52 square feet.
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Leila and joe are two partners in a business. Leila makes $8 in profit for every $9 that joe makes. if joe makes $54 profit on the first item they sell, how mutch profit does leila make?
Answer: $48
Step-by-step explanation: The amount of money Joe made can be divided by 9. 54/9 = 6. Joe made 9 dollars six times so Leila made 8 dollars 6 times. 6 x 8 = 48.
I now the shape for not cubes i need explain
Answer:
The bottom right, middle top, and bottom left are NOT cubes.
Step-by-step explanation:
Cubes are defined as a three dimensional object with the same length, width, and height. Since the square on the bottom left is two dimensional, It is not a cube. Since the hexagon on the bottom right is two dimensional, It can't be a cube. The Middle top shape doesn't have the same length height as it's width is, so it is not a cube. The rest are cubes.
Answer: Circle 1st, 2nd, 4th, and 6th
Step-by-step explanation:
A cube is 4 perfect squares in a 3-D shape. Only shape 3 and 5 show this.
a baseball field is in the shape of a square that is 90 feet on a side as shown. A player catches a ball at point x, which is three-quarters of the way between 2nd base & 3rd base, and throws the ball to 1st base.
What is the distance the player throws the call?
Answer:
The distance the player throws the ball is [tex]112.5\ ft[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In the right triangle ABX
[tex]AB=90\ ft[/tex]
[tex]BX=(3/4)90=67.5\ ft[/tex]
XA --------> is the distance the player throws the ball (hypotenuse of the right triangle)
Applying the Pythagoras Theorem
[tex]XA^{2}=AB^{2}+BX^{2}[/tex]
substitute the values
[tex]XA^{2}=90^{2}+67.5^{2}[/tex]
[tex]XA^{2}=12,656.25[/tex]
[tex]XA=112.5\ ft[/tex]
The distance player throws the call was calculated using Pythagoras theorem and it is 112.5 feet.
It is given that
Side of the square = 90 feet
Distance of point x from the second base = 3/4 * 90 = 67.5
The distance the player throws the call let us say D will be the shortest distance between x and 1st base.
Distance D can be calculated by Pythagoras theorem
What is Pythagoras theorem?
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the perpendicular and the base.
[tex]D = \sqrt{90^{2} +67.5^{2} }[/tex]
[tex]D = \sqrt{8100+4556.25} \\\\D = \sqrt{12656.25\\}\\[/tex]
[tex]D=\sqrt{12656.25} = 112.5[/tex]
Therefore, the distance the player throws the call is 112.5 feet.
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Indicate the formula for the following conditions. P(n,r)=
Hence , Formula for permutation and combination is
[tex]P(n,r)=\frac{n!}{n-r!}[/tex]
What is Permutation?No of ways in which we can obtain possible no. of ways in which particular arrangement can be made.
what is combination?The way in which we can select item as per given situation
what Is Formula for P(n,r)?[tex]P(n,r)=\frac{n!}{n-r!}[/tex]
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The formula for [tex]P(n,r)[/tex], which represents the number of permutations of r objects from a set of n distinct objects, is given by: [tex]\[ P(n,r) = \frac{n!}{(n-r)!} \][/tex]
To understand this formula, let's break it down:
1. [tex]\( n! \)[/tex] gives the number of ways to arrange n distinct objects in a sequence.
2. [tex]\( (n-r)! \)[/tex] gives the number of ways to arrange the remaining [tex]\( n-r \)[/tex] objects that are not chosen for the permutation.
3. Dividing [tex]\( n! \)[/tex] by [tex]\( (n-r)! \)[/tex] effectively cancels out the arrangements of the [tex]\( n-r \)[/tex] objects that we are not interested in, leaving us with the number of ways to arrange just the r objects.
PLEASE HELP ASAP !!!what is the approximate volume of the cone use 3.14 for pi
Answer:
The volume would be 942
Cheers pal
Step-by-step explanation:
Answer: 942cm^3
Step-by-step explanation:
A curve with equation
[tex]y = a {x}^{2} + bx + c[/tex]
crosses the x-axis at (-4,0) and (9,0) and it also passes through the point (1,120).
where does the curve cross the Y axis
[tex]y = a(x)^(2) + bx + c [/tex]
find each unit price and decide which is a better buy (cheaper) Treated lumber $3.79 for an 8 foot board. or $6.18 for a 12 foot board?
Answer:
$3.79 for an 8 foot board
Step-by-step explanation:
The way to find the answer is calculating the price per foot.
Part 1
$3.79 for an 8 foot board.
one foot would cost:
$3.79 ÷ 8 = 0.47375
Part 2
$6.18 for a 12 foot board?
Price of one foot would be:
$6.18 ÷ 12 = 0.515
$0.47375 is less than $0.515. So, the cheaper treated lumber is the one costing $3.79 for an 8 foot board.