A customer should buy minimum 16 boxes of pavers.
In this question, a customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area that is 6 feet on a side.
First we find the total area that will be covered by pavers.
Area of rectangle = length × width
Area of rectangle = 15 × 3
Area of rectangle = 45
And the area of square = side²
area of square = 6²
area of square = 36
So, the total area would be,
Total area = area of rectangle + area of square
Total area = 45 + 36
Total area = 81
So, the total area is 81 square feet.
one box of pavers covers 5.28 square feet.
So using unitary method,
81 / 5.28
= 15.534
≈ 16 boxes
This means, approximately 16 boxes will require to cover the above area.
Therefore, the customer should buy minimum 16 boxes of pavers.
Learn more about the Unitary method here:
https://brainly.com/question/22056199
#SPJ1
Please help me please help me
Mackenzie bought a 10-pound bag of flour. She used some of the flour to bake loaves
of bread.
How can Mackenzie find the amount of flour she used?
Mackenzie can find the amount of flour used by using subtraction. She should subtract the flour left in the bag from 10 pounds.
Subtraction is one of the four basic mathematical operations.
It is used to calculate the amount left after a quantity is reduced.
When two variables are subtracted we use the following notation '-' .
Let us consider two variables x and y such that x is subtracted from y then mathematically it is denoted by y - x .
Mackenzie used some flour to bake bread. To calculate the amount she used from 10 pound bag , first she will have to find the amount of flour left in the bag.
Let a pounds of flour is left (a<10).
So to calculate the amount of flour used by her we simply subtract a from 10 pound.
Hence flour left is (10 - a) pounds.
To learn more about subtraction visit:
https://brainly.com/question/2346316
#SPJ9
I need help
who can help
Is there an attachment? I don't get the worksheet!
4. Find the lowest number which is exactly divisible by 12 and 18.
Answer:
36
Step-by-step explanation:
36÷12=3
36÷18=2
Condensing Logarithms:
[tex]\frac{log2}{2} + \frac{log4}{3} =[/tex]
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\log(2)}{2}+\cfrac{\log(4)}{3}\implies \cfrac{1}{2}\log(2)+\cfrac{1}{3}\log(4)\implies \log(2^{\frac{1}{2}})+\log(4^{\frac{1}{3}}) \\\\\\ \log(2^{\frac{1}{2}})+\log( ~~ (2^2)^{\frac{1}{3}} ~~ )\implies \log(2^{\frac{1}{2}})+\log(2^{\frac{2}{3}})\implies \log( ~~ 2^{\frac{1}{2}}\cdot 2^{\frac{2}{3}}~~) \\\\\\ \log( ~~ 2^{\frac{1}{2}+\frac{2}{3}} ~~ )\implies \log( ~~ 2^{\frac{3+4}{6}} ~~ )\implies \log (~~ 2^{\frac{7}{6}} ~~ )\implies {\LARGE \begin{array}{llll} \log(\sqrt[6]{128}) \end{array}}[/tex]
Round this number to the
nearest thousandth.
1.9541
Answer:
1.954
Step-by-step explanation:
4 is the thousandth and we wouldn’t round up because of 1
Answer: 1.954
1.9541 is to low to round up to the thousandths so it needs to be rounded down, giving the answer 1.954.
How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people if each person can receive any number of bracelets, including $0$? Each bracelet must be given to someone.
There are 256 ways to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
We are given that for bracelet Yellow, green,black and red
We need to find the number of ways in which
Each person receive any number of bracelet.
Number of peoples=4
If each person receive exactly one bracelet then , the number of ways= 4 x 3 x 2 x 1 = 24
If all bracelet received by one person and other have no bracelet 4 ways
If one person receive 2 bracelet and other two received by any other=
144 way.
If two person gets two bracelet each and other two have no bracelet= 36 ways
Same, one person received three bracelet and one received by any of them =48 ways
So Total number of ways=24+4+144+48+36=256 ways
Learn more about combinations and permutations here:
https://brainly.com/question/16107928
#SPJ2
Write the decimal expansion for 2/33
Answer:
0.0606060606 hope that's right if not I'm sorry
Kelly has 306 stars she sells 56 how many are left?
Answer:
250
Step-by-step explanation:
Take 56 away from 306
306 - 56
=250
Complete the inequality below to describe the domain of the graph shown. Domain: < x < 4
Domain: -4 is less than x which is less than or equal to 4
Range: -2 is less than or equal to y which is less than 5
What is domain and range ?
The bis the set of possible input values, and the range is the set of all possible output values of the graph
The completed inequality representing the set of the domain and range are presented as follows;
Given:
Question The graph of the question appear missing and the required graph to complete the question is attached here
Solution:
From the attached graph, we have that there is an open circle at the point (-4, 5), which represents that there is no value at the point
However, at the other end of the graph, which is the point (4, -2), we have a closed circle, which represents that the graph has a value at the point (4, -2)
Part A
The domain of a graph are the possible input (x-values) of the graph, in inequality format, the domain of the attached graph is -4 < x ≤ 4
Therefore;
To complete the inequality for the domain, gives;
Domain: -4 is less than x which is less than or equal to 4
Part B
The range of a graph are the possible output (y-values) of the graph, in inequality format, the domain of the attached graph is -2 ≤ y < 5
To complete the inequality for the domain gives;
Range: -2 is less than or equal to y which is less than 5
Learn more about the domain and range of a graph here:
brainly.com/question/15164206
#SPJ1
Show your steps for full credit. Show your answer on a number line and in interval notation
8 ≤ 2m – 4 < 16
Answer:
[tex] \large \bf \implies{(6,10)}[/tex]
Step-by-step explanation:Step 1) : Solve the inequality
[tex] \bf \longrightarrow{8 \leqslant 2m - 4 < 16}[/tex]
Separate compound inequalities into system of inequalities
[tex] \begin{cases}2m - 4 \geqslant 8 \\2m - 4 < 16\end{cases}[/tex]
[tex] \sf\underline{ \underline{2m - 4 \geqslant 8 \: and \: 2m - 4 < 16}}[/tex][tex]1) \: \: \: \: \: \large\boxed{ \tt2m - 4 \geqslant 8}[/tex]
Rearrange variables to the left side of the equation[tex] \bf \longrightarrow2m \geqslant 8 + 4[/tex]
Calculate the sum or difference[tex] \bf \longrightarrow2m \geqslant 12[/tex]
Divide both sides of the inequality by the coefficient of variable[tex]\bf \longrightarrow \: m \geqslant \frac{12}{2} [/tex]
Cross out the common factor[tex]\bf \longrightarrow \: m \geqslant 6[/tex]
[tex]2) \: \: \: \: \: \large \boxed{ \sf2m - 4 < 16}[/tex]
Rearrange variables to the left side of the equation[tex]\bf \longrightarrow2m < 16 + 4[/tex]
Calculate the sum or difference[tex]\bf \longrightarrow2m < 20[/tex]
Divide both sides of the inequality by the coefficient of variable[tex]\bf \longrightarrow \: m < \frac{20}{2} [/tex]
Cross out the common factor[tex]\bf \longrightarrow \: m < 10[/tex]
[tex] \pink{ \rule{7cm}{0cm}}[/tex]
[tex]\bf \longrightarrow \: m \geqslant 6 \: and \: m < 10[/tex]
Find the intersection[tex]\bf \longrightarrow \boxed{ \sf6 \leqslant m < 10}[/tex]
Step 2) : Graph on a number line attached above
Step 3) : Express solution set in interval notation
[tex]\bf \longrightarrow {\boxed {\underline {\underline{{( \bold{6,10)}}}}}}[/tex]
A commuter train has 8 cars with a maximum occupancy of 56 passengers each and 3 cars with a maximum occupancy of 40 passengers each
The maximum occupancy of the commuter train is 568 passengers
How to determine the maximum occupancy of the commuter train?The given parameters can be represented using the following table of values
1 2
Passenger 56 40
Cars 8 3
The maximum occupancy of the commuter train is then calculated as
Maximum occupancy = Sum of (Passengers * Cars)
So, we have
Maximum occupancy = 56 * 8 + 40 * 3
Evaluate the products in the above equation
So, we have
Maximum occupancy = 448 + 120
Evaluate the sum in the above equation
So, we have
Maximum occupancy = 568
Hence, the maximum occupancy of the commuter train is 568 passengers
Read more about commuter train at
https://brainly.com/question/15562542
#SPJ1
what do i write in the blank boxes?
Answer:
the answer
Step-by-step explanation:
you got to write the answer in the blank boxes
Write each equation in logarithmic form.
10⁻²=0.01
The equation in logarithmic form is log₁₀(0.01)=−2.
Given the equation is:
10⁻²=0.01
The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).
Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).
A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form
Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.
log₁₀(0.01)=−2
Learn more about Logarithmic equations here:
brainly.com/question/237323
#SPJ4
PleSeee help ASAP now Tysm
Answer:
BD = [tex]\sqrt{82}[/tex]
Step-by-step explanation:
calculate BD using the distance formula
BD = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )
BD = [tex]\sqrt{(-3-(-4))^2+(-3-6)^2}[/tex]
= [tex]\sqrt{(-3+4)^2+(-9)^2}[/tex]
= [tex]\sqrt{1^2+81}[/tex]
= [tex]\sqrt{1+81}[/tex]
= [tex]\sqrt{82}[/tex]
≈ 9.1 ( to 1 dec. place )
Answer:
9.055385 rounded to 6 decimal places
Step-by-step explanation:
The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
where [tex](x_1, y_1) \mathrm{\;and\:} (x_2, y_2)[/tex] are the coordinates of the two points
This is also called Euclidean distance between the two points
Here coordinates of B are (-4, 6) and those of D are (-3, -3)
So distance between them
[tex]d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}[/tex]
[tex]= \sqrt {(1)^2 + (-9)^2}[/tex]
[tex]= \sqrt {{1} + {81}}[/tex]
[tex]= \sqrt {82}[/tex]
[tex]= 9.055385[/tex] rounded to 6 decimal places
Based on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy. There are more employees for the workplace safety policy than against the workplace safety policy. There is an equal number of part-time employees and full-time employees. There are more part-time employees against the workplace safety policy than for the workplace safety policy.
Answer:
Two and three
Step-by-step explanation:
Find two rational numbers between −7/2 and 4/3
Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.
The two given rational numbers are −7/2 and 4/3.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.
Now, two rational numbers between −7/2 and 4/3 can be found as follows:
Make denominators the same by taking the LCM of denominators.
LCM of 2 and 3 is 6.
Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.
So, the rational numbers become −21/6 and 8/6.
Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.
Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.
To learn more about rational numbers visit:
https://brainly.com/question/24398433.
#SPJ1
Lisa gathered and shelled 12 lbs of pecans from her backyard. She is going to make 3/4 lb bags of pecans for gifts. How many 3/4 lb bags of pecans can Lisa make?
Answer: 16
Step-by-step explanation:
12 divided by 3/4. You write 12 and change to multiplication and flip 3/4 to 4/3 and the answer will be 48/3 which equals 16.
PLEASE HELP Mr. Ingram asked his students to construct an equilateral triangle inscribed in a circle.
The sequences of steps Euna and Jason used in their constructions are shown below.
Answer Choices: Only Euna, Only Jason, Both Jason and Euna, Neither Jason nor Euna, It is impossible to determine who
The correct was done by Jason
what is construction?Geometric construction is a process of constructing geometric figures using geometric tools such as a straightedge (ruler), a compass, and a pencil.
Given:
We have some sequence to construct an equilateral triangle
So, Jason are more relatable in constructing an equilateral triangle.
1. Use a compass to draw circle O
2. Use a straightedge to draw a diameter of the circle. Label the endpoints P and S.
3. Without changing the compass width draw a full circle centered at S
4. Label the points of intersection of the two circles R and Q
5. Use a straightedge to draw segments joining points P, Q, and R to form the equilateral triangle PQR.
Learn more about construction here:
https://brainly.com/question/27854086
#SPJ1
which is bigger 35.7 or 35.68
For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample?
A. The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies.
B. The distribution of weights is approximately normal because the standard deviation is less than the mean.
C. The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean.
D. The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean.
E. The distribution of weights has a median that is greater than the mean.
Answer:
p + 3.6 > −5.8?
Step-by-step explanation:
10. Justin goes to the mall with $120. He spends $54.67 on clothes. $13.49 on school supplies, and $8.14 on lunch. How much does he have left?
Answer:$43.70
Step-by-step explanation:
120−54.67−13.49−8.14
=$43.70
Answer:
43.7
Step-by-step explanation:
120-54.67-13.49-8.14=43.7$
A line that includes the points (5,6) and (6,v) has a slope of –9. What is the value of v?
Based on the given task content; the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
How to find the value of v from the given points and slope?Slope refers the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5
y₁ = 6
Point 2( 6,v )
x₂ = 6
y₂ = v
Substitute the given values into the formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )-9
= ( v - 6 ) / ( 6 - 5 )-9
= ( v - 6 ) / ( 1 )
Cross multiply-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Therefore, the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
Learn more about slope formula here: brainly.com/question/24578307
#SPJ1
The numerical value of v in the coordinates of a line that passes through (5,6) and (6,v) with a slope of –9 is -3
What is the numerical value of v?Slope is simply the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5y₁ = 6Point 2( 6,v )
x₂ = 6y₂ = vPlug the given values into the slope formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
-9 = ( v - 6 ) / ( 6 - 5 )
-9 = ( v - 6 ) / ( 1 )
Cross multiply
-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Given the slope and coordinates of the two points of the line, the numerical value of v is -3.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ1
Identify the percentage of growth or decay for the exponential function y = 104(2.05) x
The percentage of decay for the exponential function: y = 104(2.05) x is 105%.
How to illustrate the information?This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is 2.05 which is 1.05 than 1, representing growth.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = 2.05 - 1 = 1.05 which represents 105%.
Therefore, the percentage of decay for the exponential function is 105%.
Learn more about percentages on:
https://brainly.com/question/24877689
#SPJ1
Help what are the answers to monster challenge puzzle 34!!!
odd Answer:
make icecubes then drop them in hydrochloric acid
Step-by-step Step-by-step Step-by-step Step-by-step explanation
Carlo, having a mass of 50kg, running to the next classroom for his next subject. If his running speed is 10m/s, what is his kinetic energy?
Answer:
Kinetic energy = 2500 J
Step-by-step explanation:
To calculate the kinetic energy of an object, we can use the following formula:
[tex]\boxed{E_k = \frac{1}{2}mv^2}[/tex],
where:
[tex]E_k[/tex] = kinetic energy
m = mass of the object
v = speed of the object
In this question, we are told that Carlo's mass is 50 kg and his speed is 10 m/s. Using this information and the formula above, we can calculate Carlo's kinetic energy:
[tex]E_k = \frac{1}{2} \times 50 \times (10)^2[/tex]
[tex]= \frac{1}{2} \times 50 \times 100[/tex]
[tex]= \bf 2500 \: J[/tex]
Therefore, Carlo's kinetic energy is 2500 J.
Suppose that x and y vary inversely. Write a function that models the inverse variation.
x=13 when y=17
According to the question, to calculate the relationship function model of the given equations which are as follows:
[tex]x=13[/tex] and [tex]y=17[/tex]
And the condition is the function is inverse in nature that means they vary inversely. And it can be represented as:
Equation: [tex]y = \frac{k}{x}[/tex]
[tex]17 = \frac{k}{13}[/tex]
[tex]k = 221[/tex]
Substituting the values to get the final expression:
[tex]y = \frac{221}{x}[/tex]
[tex]xy = 221[/tex]
Substitute the value of 'k' in the original equation. And the final expression is: [tex]xy =221[/tex]
What is function?
In mathematics, function can be defined as an expression or the rule or the law. It defines the relationship between dependent variable and the independent variable.
To learn more about the function model from the given link:
https://brainly.com/question/25638609
#SPJ4
solve the simultaneous equation
2x + 3y = 7
3x + 2y = 8
Answer:
(2, 1 )
Step-by-step explanation:
2x + 3y = 7 → (1)
3x + 2y = 8 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate x
6x + 9y = 21 → (3)
- 6x - 4y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 3(1) = 7
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 1 )
Lindsey and Eduardo are waiting for an elevator on the ground floor. First, Lindsey boards an elevator and starts going up at a rate of 130 meters per minute. A few moments later, when Lindsey's elevator has traveled 190 meters, Eduardo boards an express elevator and starts going up at a rate of 240 meters per minute. In how long will Eduardo pass Lindsey?
Answer:
See below
Step-by-step explanation:
Lindsey height = 190 + 130 m ( m = minutes)
Eduardo height = 240 m
Equate them
190 + 130 m = 240 m
190 = 110 m
190/ 110 = 1 8/11 minutes after Eduardo starts
1. In each of the following, express x in terms of the other variables.
(i) 3x - 2y = 4
(ii) 2x-b-4c
(iv) 5(x-3)= 2y
(v) 3y=-2
(iii) 5x -4 = I
(vi) xy = xz + yz
'x' in each expression is as follows:
x = (4+2y)/3x = (b + 4c)/2x = (2y + 15)/5y = -2/3x = (l + 4)/5xy/xz = yzWhat are variables?A variable in mathematics is an alphabet or term that stands in for an unknown quantity, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants. Typically, it is a letter like x or y. Example: The variable in x + 2 = 6 is x. We can find x = 4 by solving the x + 2 = 6 situation.So, the value of 'x' in each expression:
(i) 3x - 2y = 4 ⇒ 3x = 4+2y ⇒ x = (4+2y)/3(ii) 2x-b-4c ⇒ 2x = b + 4c ⇒ x = (b + 4c)/2(iii) 5(x-3)= 2y ⇒ 5x = 2y + 15 ⇒ x = (2y + 15)/5(iv) 3y = -2 ⇒ y = -2/3(v) 5x -4 = I ⇒ 5x = l + 4 ⇒ x = (l + 4)/5(vi) xy = xz + yz ⇒ xy/xz = yzTherefore, 'x' in each expression is as follows:
x = (4+2y)/3x = (b + 4c)/2x = (2y + 15)/5y = -2/3x = (l + 4)/5xy/xz = yzKnow more about variables here:
https://brainly.com/question/25223322
#SPJ9