Answer:
78 inches or 174 inches (see explanation)
Step-by-step explanation:
If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
Answer:
Jacob is 4 years old and his mother is 40 years old.
Step-by-step explanation:
Part 1: The linear equations are and
Part 2: Solving the equations, we have, and
Part 3: Jacob is 4 years old and his mother is 40 years old.
Explanation:
Part 1: Let j represent Jacob's age, and let m represent his mother's age.
It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,
It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,
Simplifying this, we get,
Thus, the linear equation is
The linear equations are and
Part 2: Solving the linear equation, we get,
Substituting in
Simplifying, we get,
Hence,
Substituting in
Solving the equations, we have, and
Part 3: Since, j represents jacob and m represents the jacob's mother
Thus, Jacob is 4 years old and his mother is 40 years old.
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?
Hey there! I'm happy to help!
In our problem, 100 is a certain percent of 80. When talking about percents, the word "is" means equals. Let's represent our certain percent with p and solve for it.
100=80p
Let's flip the equation around so p is on the left side.
80p=100
We divide both sides by 80.
p=1.25
As a percent, the increase is 125%.
Have a wonderful day!
If my income is €15 every 2 weeks how much money will I have in 3 months
Answer
90
Step-by-step explanation:
If for 2 weeks there are 15 then there are 4 weeks in 1 month = €30 + €30 + €30 = €90
Please solve the one w the underline please ❤️❤️
Answer:
6 ÷ 6 + 6 x 6
Step-by-step explanation:
Hope this helps :D
Given the regular decagon, what is the measure of each numbered angle? A. m∡1 = 72°; m∡2 = 18°; m∡3 = 36° B. m∡1 = 18°; m∡2 = 36°; m∡3 = 72° C. m∡1 = 36°; m∡2 = 72°; m∡3 = 18° D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°
Answer:
D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°
Step-by-step explanation:
The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.
Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.
Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.
What is the area of the regular hexagon shown below?
Answer:
Area = 2127.1 cm^2 (to the tenth)
Step-by-step explanation:
We may be missing the length of a side at the top of the picture.
However, we are given "a", so the sides of a regular hexagon can be calculated.
The side of a regular hexagon given "a" is
s = 2a/sqrt(3) = 28.61
Perimeter of hexagon
= 6s
Area of hexagon
= a*perimeter/2
= a*6s/2
= 3as
= 3a*2a/sqrt(3)
=2sqrt(3)a^2
= 2*sqrt(3)*24.78^2
= 2127.1 cm^2 (to the tenth)
PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). Give at least 5 sentences.
Answer:
the guy is right
Step-by-step explanation:
Which of the following is a graph of f(x) =square root of x +5
Answer:
Step-by-step explanation:
You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:
Hope this helps!
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.
Given :
[tex]\rm f(x) = \sqrt{x+5}[/tex]
The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:
Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].
Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.
Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.
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Jenny is baking 56 cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 56 will fit inside of the container. Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.
Answer:
Part A: 5 inches³.
Part B: 302 inches³.
Part C: Yes. Explanation below.
Step-by-step explanation:
Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.
In this case, the h = 1 inch and r = 1.25 inches.
pi * 1.25^2 * 1
= pi * 1.5625
= 3.14 * 1.5625
= 4.90625.
So, the volume of a single cookie sandwich is about 5 inches³.
Part B: As stated before, the volume of a cylinder is pi * r^2 * h.
In this case, the r = 4.5 inches, and the h = 4.75 inches.
pi * 4.5^2 * 4.75
= 3.14 * 20.25 * 4.75
= 63.585 * 4.75
= 302.02875.
So, the volume of the food storage container is about 302 inches³.
Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.
Hope this helps!
Answer:
Part A: 5 inches^3
Part B: 302 inches^3
Part C: Yes, Jenny will be able to transport all the cookie sandwiches in the food container. This is because there are 56 cookie sandwiches and they each have a volume of 5 cubic inches. So, 56 times 5 equals 280 cubic inches of space. There are 302 cubic inches inside the container, so all the cookie sandwiches will fit inside.
On the set of axes below, draw the graph of the equation y = -3/4x + 3. Is the point (3, 2) a solution to the equation? Explain your answer based on the graph drawn
(3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The graph of the equation is given as y = -3/4x + 3.
We have to find if the point (3, 2) a solution to the equation.
So, we will subtitute the point to to satify the equation;
y = -3/4x + 3.
y = -3/4(3) + 3
y = -9 / 4 + 3
y = 3/3 = 1
Thus, (3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
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Please help me on this question.
Answer:
[tex]f(1)=-48(-\frac{1}{4} )[/tex]
[tex]= 12[/tex]
[tex]f(n)=f(n-1)\:. (-\frac{1}{4} )[/tex]
OAmalOHopeO
Use the clues in the sentences to determine the best meaning for each bolded word
"He was a tenacious worker, and by sticking firmly to his plan, he succeeded."
"Students planning to become scientists must select a science major, such as biology, chemistry, or physics."
"I want to take a class in calligraphy, or artistic writing, at the community center."
Done
Answer:
1. Determined
2. area of study
3. artistic writing
Step-by-step explanation:
Hope this helps! <3
Answer:
✔ determined
✔ area of study
✔ artistic writing
Explanation:
PLZZ HELPP!! On Tony's map, the distance from Saint John, NB to St. John's, NL is 21 cm. The actual distance between these two cities is 1050km. What is the scale of Tony's map?
Answer:
1/5 000 000
Step-by-step explanation:
1050km is equal to 105 000 000cm
105 000 000 ÷ 21= 5 000 000
So the scale is 1/5 000 000.
CAN SOMEWON HELP ME PLZZZ I DONT GET IT
Hey there! I'm happy to help!
We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.
If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.
So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].
Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.
(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])
Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.
2×4=8
And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.
So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]
Have a wonderful day! :D
Answer:
Hey There!! The answer to this is B: The mass of a single seed can be written as
There are total of seeds in the jar
Total mass is the multiplication of these both numbers.
Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.
The rule to multiply two numbers in scientific notation is:
So using this formula we multiply the 2 numbers and get answer as follows:
Thus, Answer choice B is right.
Hope It Helped!~ ♡
ItsNobody~ ☆
8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, he
subtracted 20 from this product. Next, he took three-fourths of this difference and got y.
Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.
What was his final answer?
A. -56
B. -51
C. 16
D. 21
E. Not enough information
Answer:
y=¾(4x-20)
y=3x-15
Final answer= y - 3(x+12)
=y - 3x-36
=3x-15-3x-36
= -51
Answer:
The answer is -51
Step-by-step explanation:
\(216^{\frac{2}{3}}=?\) A.36 B.6 C.108 D.12
Answer:
36
Step-by-step explanation:
(216) ^ (2/3)
Rewriting 216 as 6^3
(6^3) ^ (2/3)
We know that a^ b^c = a^ (b*c)
6 ^ (3*2/3)
6^2
36
(k) 1 + tan 4A . tan 2A = sec 4A.
Please help me.... question from multiple angle of trigonometry!!!!!
it was a long proof...
follow the caption and steps and you'll understand it
proved...
Step-by-step explanation:
this is too easy method to solve this problem
1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?
Answer:
6/8 of a mile,
Step-by-step explanation:
if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.
Answer:
3/4 of a mile
Step-by-step explanation:
1 furlong = 1/8 mile
======== ====
6 forlongs = x
cross multiply
1*x = 6 * (1/8)
x = 6/8
reduce 6/8. Divide top and bottom by 2
x = 3/4
Teresita worked part-time for 2 weeks in a pharmacy. During the second week, she worked 13 times the
number of hours that she worked during the first week. If she worked a total of 25 hours during the 2-week
period, how many hours did Teresita work during the second week?
1.8
2.10
3.12
4.15
Option 4 is correct, Teresita worked 15 hours during the second week.
Given that Teresita worked [tex]1\frac{1}{2}[/tex] times the number of hours during the second week.
Therefore, she worked 1.5x hours during the second week.
The total number of hours she worked during the two weeks is given as 25.
So we can set up the equation:
x + 1.5x = 25
Combining like terms, we have:
2.5x = 25
Dividing both sides of the equation by 2.5, we get:
x = 25/2.5
x = 10
Therefore, Teresita worked 10 hours during the first week.
To find the number of hours she worked during the second week, we can substitute this value back into the equation:
1.5x = 1.5 × 10
= 15
Therefore, Teresita worked 15 hours during the second week.
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How many units away is 1 from -6 on a number line?
Answer:
7 units
Step-by-step explanation:
(number line:)
<- -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ->
←there are 7 units from 1 to -6 (you don't count the 0)
(I'm not sure if you understood my explanation, but I do am sure about the answer, so if there is something you didn't understand let me know, and which part are you confused about so I can help you out!)
Answer:
[tex]\huge\boxed{\sf 7\ units}[/tex]
Step-by-step explanation:
To find that how much far they are from each other, we can subtract both of them.
=> 1 - (-6)
=> 1 + 6
=> 7 units
So, they are 7 units apart from each other.
First gets brainly again :D
Answer:
Blanks in order: Multiplication/multiplying, -7.6-4.4, -12
Step-by-step explanation:
Hi there!
[tex]-7.6-2(2.2)[/tex]
The order of operations: Parentheses, exponents, division/multiplication, addition/subtraction
After exponents is division and multiplication. Because there is no division in the expression, the next step would be multiplying 2 and 2.2:
[tex]= -7.6-4.4[/tex]
Now our final answer after simplifying the above would be:
[tex]= -12[/tex]
I hope this helps!
Answer:
Don't mark me I may be wrong
add,12.34, 13.06
Step-by-step explanation:
help
7. Given the figure, find the desired measurements
Answer:
m∠F = 66°
m∠D = 57°
Step-by-step explanation:
It looks like you have ...
∠D = ∠E = (4x +1)°
∠F = (5x -4)°
The sum of the angles in the triangle is 180°, so we have ...
2(4x +1) +(5x -4) = 180
13x -2 = 180
x = 182/13 = 14
Then the angle measures are ...
∠D = ∠E = (4(14) +1)° = 57°
∠F = (5(14) -4)° = 66°
__
m∠F = 66°
m∠D = 57°
ASAP At a store you have the option to buy a 12 pack of pop for $5 or a 8 pack for $3. Which is the better deal? 12 pack 8 pack. And can u pls explain how u got the answer
Answer:
The 8 pack is the better deal.
Step-by-step explanation:
To get the answer you do the following:
Find the price of one pack for each;
1/12*5= $0.42( cost of one pack for the 12 pack part)
1/8*3= $0.38( cost of one pack for the 8 pack part)
The answer is that the 8 pack is cheaper .
what is the equation pls no guessing brainliest includeD!!!!!!!!!!
Answer:
-22 - 2 = -24
Step-by-step explanation:
The answer space already has the minus sign so we can infer the number line is showing subtraction.
We start from -22 and jump to -24. This number line skip counts by 2 and we only jumped one unit, it means we subtracted by 2.
So we subtracted -22 by 2 and it is equal -24:
-22 - 2 = -24
Hope this helps!
5.4(m-2)= -2(3m+3) please help asap
Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
Answer:
9 hours
11 hours
19 hours
9 hours, 11 hours, and 19 hours.
Mobile phone:A portable telephone that can make and receive calls over a radio frequency link while the user is traveling inside a telephone service area is known as a mobile phone, cellular phone, handphone, cell phone, cell phone, handphone, or pocket phone.Solution -
We can see that the given graph has both a climb and a fall.
The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.
The battery life increases while it is being charged.
Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.
Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.
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Please help ASAP !!!!!!!!!!
Answer:
a) Grocery Store: $9.71
b) Other purchases: $6.71
Step-by-step explanation:
a) 485.72 x 0.02 = 9.71
b) 671.28 x 0.01 = 6.71
Don't forget the labels!!
find the total surface area of this square based pyramid
Answer:
300 ft²
Step-by-step explanation:
Surface area= area of base + 4*area of triangle
a= 10 ft
h= 10 ft
Surface area:
10*10+ 4*1/2*10*10= 300 ft²I don't understand this math question! The pictures provided and I'd love if someone can explain it to me
Answer:
Hello,
Step-by-step explanation:
The first number is
[tex]\dfrac{8}{12}[/tex]
The second number is
[tex]\dfrac{9}{12}[/tex]
Their sum is:
[tex]\dfrac{8}{12} +\dfrac{9}{12} =\dfrac{8+9}{12}=\dfrac{17}{12}[/tex]
Answer:
67
Step-by-step explanation:
Find the area of the ACTUAL gym
Step-by-step explanation:
The three main types of exercise are cardiovascular exercise, strength training and stretching. All three types of exercise are important for physical fitness. Cardiovascular aerobic exercise is repetitive, rhythmic exercise that increases your heart rate and requires you to use more oxygen.
Answer:
6.67
Step-by-step explanation: